Selected quad for the lemma: day_n

Word A Word B Word C Word D Occurrence Frequency Band MI MI Band Prominent
day_n point_n quarter_n sun_n 6,020 5 9.8439 5 false
View all documents for the selected quad

Text snippets containing the quad

ID Title Author Corrected Date of Publication (TCP Date of Publication) STC Words Pages
A03380 The schoole of skil containing two bookes: the first, of the sphere, of heauen, of the starres, of their orbes, and of the earth, &c. The second, of the sphericall elements, of the celestiall circles, and of their vses, &c. Orderly set forth according to art, with apt figures and proportions in their proper places, by Tho. Hill. Hill, Thomas, b. ca. 1528.; Jaggard, William, 1569-1623. 1599 (1599) STC 13502; ESTC S104125 144,541 253

There are 30 snippets containing the selected quad. | View original text

of_o the_o zodiac_n and_o the_o other_o by_o the_o section_n of_o the_o zodiac_n and_o equatoure_n that_o which_o pass_v by_o the_o pole_n of_o the_o equatour_n and_o zodiac_n do_v divide_v in_o two_o part_n each_o half_a circle_n as_o well_o of_o the_o equatour_n as_o the_o zodiac_n therefore_o the_o one_o condition_n of_o the_o colour_n go_v by_o the_o solsticiall_a point_n of_o the_o zodiac_n which_o be_v the_o beginning_n of_o cancer_n and_o capricorn_n and_o the_o further_a point_n from_o the_o equatour_n whereof_o it_o be_v name_v the_o solsticiall_a colour_n the_o other_o be_v name_v the_o equinoctial_a colour_n see_v it_o enter_v by_o the_o say_v equinoctial_a section_n which_o be_v the_o beginning_n of_o aries_n and_o libra_n that_o be_v the_o equinoctial_a point_n so_o that_o these_o colour_n divide_v aswell_o the_o equinoctial_a as_o the_o zodiac_n into_o four_o quarter_n in_o that_o they_o go_v by_o the_o four_o principal_a point_n of_o they_o the_o colour_n general_o be_v call_v all_o the_o great_a circle_n draw_v by_o the_o pole_n of_o the_o world_n which_o take_v their_o name_n thereof_o insomuch_o as_o they_o never_o be_v discern_v or_o see_v whole_a in_o the_o turn_n about_o of_o the_o world_n as_o the_o other_o circle_n but_o unperfect_a and_o lack_v for_o both_o the_o ark_n right_a against_o one_o another_o about_o the_o pole_n in_o the_o thwart_a sphere_n be_v not_o see_v both_o at_o once_o for_o they_o be_v either_o continual_o in_o sight_n to_o we_o and_o never_o draw_v away_o or_o hide_v like_o unto_o those_o which_o be_v near_o to_o the_o elevate_v pole_n or_o else_o they_o never_o appear_v in_o sight_n to_o we_o but_o be_v continual_o hide_v from_o we_o as_o those_o which_o be_v the_o opposite_n but_o the_o reach_a of_o the_o colour_n fasten_v in_o the_o two_o circle_n extend_v and_o pass_v by_o the_o four_o principal_a point_n of_o the_o ecclipticke_a as_o the_o equinoctial_o and_o solsticials_n which_o touch_v one_o another_o in_o the_o pole_n of_o the_o world_n do_v in_o their_o cyrcumference_n make_v right_a angle_n and_o part_v the_o zodiac_n and_o equatoure_n into_o four_o equal_a quarter_n the_o colour_n of_o the_o equinoctial_o rest_v in_o the_o equinoctial_a point_n the_o other_o contain_v the_o solstiticiall_a point_n be_v call_v the_o colour_n of_o the_o solstice_n the_o colour_n of_o the_o equinoctial_o be_v a_o great_a circle_n movable_a and_o every_o where_o alike_o draw_v by_o the_o pole_n of_o the_o world_n or_o equatour_n and_o the_o equinoctial_a point_n as_o the_o beginning_n of_o aries_n and_o libra_n make_v with_o the_o equatour_n right_o spherical_a angle_n with_o the_o zodiac_n thwart_o angle_n for_o oftentimes_o the_o great_a circle_n by_o a_o mutual_a touch_v together_o do_v make_v right_a angle_n in_o the_o sphere_n as_o they_o cut_v in_o two_o part_n or_o into_o equal_a half_a circle_n and_o by_o the_o pole_n one_o another_o and_o contrariwaise_v when_o they_o cut_v one_o another_o by_o the_o pole_n then_o do_v they_o form_v and_o make_v right_a angle_n with_o their_o cyrcumference_n and_o part_v one_o the_o other_o into_o equal_a part_n as_o write_v theodosius_n in_o his_o first_o book_n de_fw-fr sphera_fw-la and_o in_o propositi_fw-la 18._o 19_o 20._o and_o 21._o or_o thus_o the_o colour_n of_o the_o equinoctial_o which_o be_v name_v the_o equinoctial_a colour_n be_v a_o great_a circle_n pass_v by_o the_o pole_n of_o the_o world_n and_o the_o first_o point_n of_o aries_n &_o libra_n where_o the_o two_o equinoctial_a point_n be_v say_v to_o be_v in_o that_o the_o sun_n cause_v a_o like_a day_n and_o night_n in_o every_o place_n or_o for_o that_o these_o point_n be_v in_o the_o equator_fw-la whereof_o it_o be_v call_v the_o colour_n distinguish_v the_o equinoctial_o so_o that_o the_o two_o colour_n cross_v one_o another_o on_o the_o pole_n of_o the_o world_n at_o right_a spericall_a angle_n it_o be_v call_v the_o colour_n of_o the_o equinoctial_o for_o that_o it_o pass_v by_o the_o equinoctial_a point_n as_o by_o the_o beginning_n of_o aries_n &_o libra_n which_o they_o call_v the_o equinoctial_a point_n for_o that_o when_o the_o sun_n happen_v into_o either_o of_o they_o the_o day_n and_o night_n be_v of_o equal_a length_n throughout_o the_o earth_n which_o come_v to_o pass_v twice_o in_o the_o year_n as_o in_o the_o spring_n and_o harvest_n whereof_o the_o one_o be_v call_v the_o equinoctial_a spring_n and_o at_o this_o day_n be_v about_o the_o eleven_o of_o march_n which_o be_v the_o day_n before_o gregory_n the_o other_o the_o harvest_n spring_n and_o happen_v in_o our_o time_n the_o 14._o of_o september_n that_o be_v three_o day_n afore_o lambert_n whereof_o arise_v this_o ancient_a verse_n lampert_n gregori_n nox_fw-la est_fw-la aequata_fw-la diei_fw-la the_o colour_n of_o the_o solstice_n be_v a_o great_a circle_n movable_a and_o every_o where_o alike_o draw_v by_o the_o solsticiall_a point_n or_o the_o beginning_n of_o cancer_n &_o capricornus_fw-la and_o the_o pole_n of_o the_o zodiac_n and_o equatoure_n make_v right_o spherical_a angle_n with_o both_o for_o of_o both_o be_v the_o pole_n comprehend_v and_o according_a to_o theodosius_n propo_fw-it lib._n 2._o de_fw-fr spera_n that_o by_o any_o twoe_o circle_n cross_v one_o the_o other_o when_o a_o third_o devide_v the_o part_n of_o both_o equal_o and_o in_o two_o part_n the_o same_o be_v the_o great_a circle_n and_o pass_v by_o the_o pole_n of_o both_o but_o that_o which_o pass_v by_o the_o pole_n of_o the_o other_o circle_n do_v part_v it_o in_o two_o part_n and_o at_o right_a angle_n here_o may_v be_v demand_v why_o the_o other_o twoe_o be_v call_v the_o solsticiall_a point_n see_v the_o sun_n stay_v no_o where_o which_o be_v thus_o answer_v that_o the_o sun_n digress_v from_o either_o equinoctial_a point_n by_o his_o proper_a motion_n do_v daily_o depart_v from_o the_o equinoctial_a circle_n till_o he_o come_v unto_o the_o solstitial_a point_n where_o he_o be_v further_a distant_a from_o the_o equatoure_n but_o immediate_o after_o he_o begin_v to_o return_v and_o come_v again_o unto_o the_o equatour_n till_o he_o come_v unto_o the_o other_o equinoctial_a point_n so_o that_o the_o point_n of_o the_o sun_n further_a distance_n which_o be_v the_o begin_n of_o cancer_n or_o capricornus_fw-la and_o of_o the_o same_o call_v the_o solstice_n in_o that_o the_o sun_n stay_v there_o that_o be_v cease_v from_o his_o further_a go_v or_o departure_n and_o begin_v again_o to_o come_v to_o the_o equatoure_n for_o the_o sun_n after_o his_o come_n unto_o that_o point_n depart_v and_o come_v again_o to_o the_o equatour_n so_o that_o the_o end_n the_o departure_n and_o beginning_n of_o his_o come_n be_v the_o solstice_n therefore_o not_o for_o that_o the_o sun_n stay_v there_o be_v they_o call_v the_o solstice_n although_o about_o those_o point_n of_o the_o go_n and_o come_v of_o the_o sun_n it_o be_v so_o small_a that_o for_o four_o sire_n or_o more_o day_n after_o he_o seem_v in_o judgement_n as_o it_o be_v to_o stay_v in_o one_o declination_n and_o therefore_o for_o that_o cause_n may_v be_v name_v the_o solstitial_o these_o of_o sundry_a as_o of_o campanus_n be_v also_o call_v tropic_n point_n through_o the_o sun_n return_v and_o these_o may_v be_v call_v uerticiall_a or_o cardinal_a circle_n see_v they_o go_v by_o those_o top_n of_o the_o world_n and_o express_v or_o show_v the_o four_o quarter_n of_o the_o zodiac_n moreover_o see_v certain_a part_n of_o these_o circle_n be_v near_o the_o pole_n be_v hide_v and_o the_o other_o right_n against_o they_o nothing_o at_o all_o discern_v at_o any_o time_n therefore_o be_v it_o that_o they_o be_v call_v in_o greek_a kolouroi_n which_o be_v in_o english_a maim_v and_o unperfect_a as_o proclus_n diadochus_n mocrobius_fw-la and_o capella_n write_v but_o this_o agree_v not_o in_o the_o right_a horizont_n see_v there_o be_v no_o part_n of_o heaven_n which_o do_v always_o remain_v there_o hide_v but_o in_o the_o description_n of_o the_o astrolobie_n how_o large_a soever_o the_o same_o be_v yet_o only_o these_o circle_n appear_v continual_o unperfect_a yet_o further_o the_o colour_n of_o the_o solstice_n or_o the_o circle_n distinguish_v the_o solstice_n which_o also_o be_v call_v the_o solstitial_a circle_n be_v a_o great_a circle_n draw_v and_o pass_v by_o the_o pole_n of_o the_o world_n and_o zodiac_n and_o the_o great_a declination_n of_o the_o same_o and_o by_o the_o beginning_n of_o cancer_n and_o capricornus_fw-la it_o be_v call_v the_o colour_n of_o the_o solstice_n in_o that_o it_o pass_v by_o the_o solsticiall_a point_n as_o by_o the_o beginning_n of_o cancer_n and_o capricornus_fw-la which_o be_v name_v the_o solsticiall_a point_n for_o that_o in_o they_o the_o solstice_n be_v cause_v that_o be_v the_o sun_n come_v unto_o
but_o especial_o at_o noon_n in_o every_o week_n be_v well_o perceive_v to_o descend_v and_o go_v low_o and_o low_o until_o he_o become_v unto_o the_o tropic_n of_o capricorn_n or_o the_o winter_n circle_n where_o he_o turn_v again_o as_o you_o may_v plain_o learn_v and_o understand_v by_o the_o former_a description_n of_o that_o circle_n the_o tropic_n of_o capricorn_n be_v a_o lesser_a circle_n and_o one_o of_o the_o natural_a circle_n which_o be_v by_o the_o like_a space_n distant_a from_o the_o equatoure_n into_o the_o south_n and_o describe_v of_o the_o sun_n in_o the_o begin_n of_o capricorn_n as_o be_v uttermost_a towards_o the_o south_n which_o be_v the_o bind_v of_o the_o sun_n great_a departure_n from_o we_o and_o of_o his_o long_a digression_n unto_o the_o south_n that_o he_o define_v and_o make_v this_o circle_n also_o be_v call_v the_o winter_n solstice_n and_o winter_n tropic_n in_o that_o when_o the_o sun_n come_v into_o this_o circle_n it_o be_v present_o winter_n that_o be_v the_o short_a day_n of_o the_o year_n also_o the_o less●●_n portion_n of_o this_o circle_n be_v to_o we_o above_o the_o horizone_n and_o the_o great_a beneath_o or_o under_o the_o horizon_n beside_o the_o sun_n journey_n end_v at_o the_o south_n and_o cross_v or_o devide_v both_o the_o burn_a and_o temperate_a southerly_a zone_n the_o brumal_a or_o winter_n tropic_n as_o write_v proclus_n that_o be_v further_a towards_o the_o south_n of_o all_o those_o which_o the_o sun_n describe_v by_o his_o draw_v about_o of_o the_o first_o mover_n into_o which_o when_o the_o sun_n fall_v he_o cause_v his_o winterly_a return_n so_o that_o the_o long_a night_n of_o the_o year_n and_o short_a day_n be_v at_o that_o time_n procure_v from_o which_o he_o go_v no_o further_a towards_o the_o south_n but_o return_v unto_o the_o contrary_a quarter_n of_o the_o world_n and_o hereof_o this_o circle_n be_v call_v a_o tropic_n or_o circle_n of_o return_n now_o these_o three_o be_v principal_o note_v the_o equatour_n and_o the_o two_o tropicke_n for_o the_o course_n of_o the_o sun_n that_o the_o instruction_n of_o the_o two_o tropic_n afore_o speak_v of_o may_v more_o perfect_o be_v understand_v conceive_v this_o figure_n here_o demonstrate_v in_o which_o a_o h_z b_o e._n be_v the_o meridian_n a_o d_o b._n the_o right_a horizone_n d._n the_o centre_n of_o the_o principal_a a._n the_o northerly_a pole_n b._n the_o southerly_a pole_n g_o d_o c._n the_o circle_n of_o the_o zodiac_n h_o d_o e._n the_o equatour_n which_o here_o be_v mean_v to_o be_v abate_o describe_v when_o the_o sun_n shall_v be_v in_o the_o centre_n of_o the_o earth_n or_o in_o the_o true_a section_n of_o the_o equatoure_n and_o zodiac_n as_o in_o the_o letter_n d._n from_o which_o point_n when_o the_o sun_n return_v towards_o the_o northerly_a pole_n a._n under_o the_o circle_n g_o d_o c._n he_o than_o describe_v in_o each_o day_n by_o the_o motion_n of_o the_o first_o mover_n each_o parallel_n until_o he_o be_v come_v in_o the_o meridiane_a unto_o the_o point_n g_o from_o which_o he_o can_v not_o further_o ascend_v towards_o our_o zenith_n in_o the_o meridian_n of_o which_o in_o the_o same_o day_n the_o sun_n describe_v g_o f._n the_o parallel_n to_o the_o equatour_n which_o be_v call_v the_o tropic_n of_o cancer_n in_o that_o the_o sun_n begin_v from_o this_o place_n to_o approach_v or_o draw_v near_o to_o the_o equatoure_n unto_o which_o when_o the_o sun_n shall_v come_v he_o than_o descend_v unto_o the_o nether_a half_a sphere_n in_o the_o half_a circle_n d_o c._n he_o be_v come_v again_o unto_o the_o point_n c_o do_v from_o his_o centre_n by_o the_o motion_n of_o the_o principal_a or_o first_o mover_n in_o the_o pole_n of_o the_o world_n describe_v the_o parallel_n c_o i._n that_o be_v the_o tropic_n of_o capricorn_n the_o polare_fw-la circle_n be_v two_o of_o the_o lesser_a circle_n near_o to_o the_o pole_n of_o the_o world_n be_v alike_o equal_a distant_a to_o the_o equatour_n which_o upon_o the_o pole_n of_o the_o equatour_n describe_v be_v draw_v by_o the_o pole_n of_o the_o zodiac_n and_o these_o be_v name_v the_o polare_fw-la circle_n in_o that_o they_o be_v near_o to_o the_o pole_n of_o which_o that_o near_o to_o the_o pole_n arctic_a be_v call_v the_o arctic_a circle_n of_o the_o great_a or_o lesser_a bear_n draw_v in_o it_o or_o for_o that_o this_o circle_n be_v describe_v about_o the_o pole_n arctic_a the_o other_o that_o be_v right_a against_o be_v name_v the_o antarctic_a circle_n in_o that_o it_o be_v draw_v about_o the_o antarctic_a pole_n or_o thus_o the_o arctic_a be_v a_o lesser_a circle_n which_o the_o northerly_a pole_n of_o the_o zodiac_n be_v so_o far_o distant_a from_o the_o pole_n arctic_a of_o the_o world_n as_o be_v the_o sun_n great_a declination_n or_o as_o proclus_n write_v that_o the_o before_o foot_n of_o the_o great_a bear_n by_o the_o daily_a motion_n form_v the_o same_o circle_n after_o the_o mind_n of_o the_o learned_a be_v distant_a from_o the_o equatour_n 66._o degree_n and_o 30._o minute_n almost_o to_o who_o this_o altitude_n be_v high_a by_o 23._o degree_n and_o almost_o 29._o minute_n to_o those_o part_n of_o the_o earth_n be_v the_o pole_n arctic_a extaunt_a in_o sight_n and_o continual_o appear_v it_o also_o seclude_v and_o part_v the_o untemperate_a northerly_a zone_n from_o the_o next_o temperate_a zone_n where_o the_o solsticiall_a tropic_n be_v make_v the_o northerly_a circle_n and_o in_o that_o place_n under_o this_o altitude_n of_o the_o pole_n 66._o degree_n and_o 31._o minute_n there_o all_o the_o star_n and_o image_n contain_v from_o the_o solsticiall_a tropic_n unto_o the_o pole_n be_v see_v as_o both_o the_o bear_n the_o dragon_n cepheus_n cassiopia_n perseus_n auriga_fw-la or_o the_o carter_n whole_a boötes_n except_o from_o the_o knee_n downward_o the_o crown_n hercules_n except_o the_o head_n and_o right_a arm_n the_o harp_n the_o swan_n the_o great_a horse_n andromeda_n except_o the_o left_a cubit_n the_o half_a of_o the_o northerly_a fish_n almost_o deltoton_n a_o part_n of_o the_o back_n of_o taurus_n the_o neck_n and_o northerly_a horn_n a_o great_a part_n of_o gemini_fw-la and_o the_o head_n and_o neck_n of_o leo._n and_o not_o unlike_a to_o the_o former_a do_v proclus_n describe_v they_o where_o he_o write_v that_o the_o northerly_a circle_n be_v the_o same_o which_o of_o all_o those_o that_o to_o we_o continual_o be_v see_v or_o appear_v be_v for_o truth_n the_o great_a and_o that_o also_o touch_v the_o horizone_n at_o one_o only_a point_n be_v whole_o describe_v above_o the_o earth_n and_o the_o star_n that_o be_v enclose_v within_o this_o circle_n do_v neither_o rise_v nor_o set_v but_o be_v continual_o see_v all_o the_o night_n draw_v about_o the_o pole_n the_o south_n or_o antarctic_n circle_n be_v thus_o define_v of_o he_o that_o the_o same_o be_v equal_a and_o equidistant_a to_o the_o northerly_a or_o arctic_a circle_n and_o touch_v the_o horizon_n at_o one_o point_n the_o whole_a of_o this_o circle_n be_v hide_v under_o our_o horizone_n so_o that_o all_o the_o star_n place_v and_o draw_v in_o it_o abide_v ever_o out_o of_o sight_n to_o us._n the_o like_a description_n that_o the_o antarctic_a parallel_n be_v a_o lesser_a circle_n which_o the_o southerly_a pole_n of_o the_o zodiac_n draw_v about_o as_o it_o be_v by_o the_o daily_a motion_n do_v describe_v about_o the_o southerly_a top_n of_o the_o world_n and_o be_v by_o a_o like_a space_n distant_a from_o the_o equatoure_n and_o the_o antarctic_a pole_n of_o the_o world_n as_o the_o arctic_a be_v from_o his_o opposite_a and_o do_v separate_v or_o divide_v the_o untemperate_a southerly_a zone_n from_o the_o next_o temperate_a zone_n further_o it_o be_v manifest_a that_o the_o distance_n of_o the_o pole_n of_o the_o ecclipticke_a from_o the_o pole_n of_o the_o world_n do_v agree_v with_o the_o great_a bow_v or_o declination_n of_o the_o ecclipticke_a or_o the_o sun_n in_o that_o the_o pole_n from_o their_o circle_n be_v always_o distant_a a_o quarter_n of_o the_o circle_n and_o the_o colour_n of_o the_o solstice_n be_v here_o take_v for_o that_o which_o comprehend_v either_o pole_n and_o when_o the_o quarter_n stand_v between_o the_o pole_n and_o the_o circle_n of_o the_o pole_n be_v in_o themselves_o or_o between_o one_o the_o other_o equal_a as_o the_o ark_n of_o the_o same_o circle_n than_o the_o middle_a ark_n common_a to_o both_o which_o as_o exempt_v go_v between_o the_o pole_n of_o the_o world_n and_o the_o ecclipticke_a and_o so_o part_v and_o leave_v they_o equal_a for_o the_o one_o half_a of_o the_o other_o equal_a ark_n be_v from_o the_o pole_n of_o the_o ecclipticke_a unto_o the_o pole_n of_o the_o world_n and_o the_o other_o be_v
image_n name_v aquarius_n have_v 24._o star_n and_o 3._o without_o form_n 12_o the_o image_n name_v pisces_fw-la have_v 34._o star_n the_o sum_n of_o all_o the_o star_n except_o berenice_n bush_n be_v 364._o of_o the_o southerly_a 1_o the_o image_n name_v coetus_fw-la have_v 22._o star_n 2_o the_o image_n name_v orion_n have_v 38._o star_n 3_o the_o image_n name_v the_o river_n or_o eridanus_n or_o potamos_n have_v 34._o star_n 4_o the_o image_n name_v the_o hare_n have_v 12._o star_n 5_o the_o image_n name_v the_o dog_n have_v 18._o star_n of_o which_o that_o in_o the_o mouth_n be_v name_v alhabor_n 12._o without_o form_n 6_o the_o image_n name_v the_o little_a dog_n or_o caniculare_fw-la star_n have_v 2._o star_n of_o which_o the_o bright_a be_v that_o name_v proion_n or_o the_o dogstar_n 7_o the_o image_n name_v the_o ship_n have_v 45._o star_n of_o which_o a_o bright_a star_n go_v before_o in_o temone_v 8_o the_o image_n name_v the_o water_n serpent_n have_v 25._o star_n and_o 2._o without_o form_n 9_o the_o image_n name_v the_o bucket_n or_o great_a cup_n have_v 7._o star_n 10_o the_o raven_n or_o crow_n have_v 7._o star_n 11_o the_o image_n name_v centaurus_n be_v one_o half_a like_o a_o man_n and_o the_o other_o half_n like_o a_o horse_n have_v 37._o star_n 12_o the_o beast_n which_o the_o centaur_n do_v hold_v be_v a_o wolf_n have_v 19_o star_n 13_o the_o image_n name_v the_o altar_n have_v 7._o star_n 14_o the_o southet_o crown_n have_v 13._o star_n 15_o the_o southerly_a fish_n have_v 11._o star_n and_o 6._o without_o form_n the_o sum_n of_o all_o the_o star_n be_v 316._o the_o milky_a way_n which_o ptolemy_n name_v galaxian_n of_o the_o white_a and_o milky_a colour_n be_v a_o heap_n of_o most_o small_a star_n and_o dim_a to_o sight_n of_o which_o be_v a_o certain_a confuse_a gather_v together_o and_o abundance_n as_o it_o be_v increase_v that_o no_o several_a light_n be_v decern_v and_o the_o same_o in_o the_o manner_n of_o a_o girdle_n compass_v and_o enclose_v heaven_n about_o the_o same_o also_o be_v unequal_a and_o differ_v in_o the_o stand_n latitude_n haunt_v of_o star_n and_o in_o the_o colour_n very_o much_o it_o be_v somewhere_o decern_v clefte_v but_o the_o part_n go_v before_o be_v neither_o whole_a nor_o make_v a_o whole_a swath_n or_o enclosure_n about_o but_o lack_v about_o the_o swan_n and_o altar_n and_o the_o part_n follow_v whole_a be_v in_o no_o place_n break_v off_o with_o a_o space_n and_o stretch_v thwart_o in_o heaven_n and_o from_o the_o part_n of_o the_o zodiac_n northerly_a it_o pass_v by_o gemini_fw-la and_o sowtherly_a by_o sagitarius_n and_o capricornus_fw-la of_o the_o planet_n the_o planet_n name_v otherwise_o the_o err_a and_o wander_a star_n not_o for_o that_o they_o err_v by_o a_o wander_a and_o uncertain_a motion_n but_o in_o that_o they_o be_v carry_v about_o by_o a_o diverse_a and_o unlike_a motion_n for_o sometime_o they_o go_v forward_o and_o sometime_o retrograde_a sometime_o be_v hide_v and_o clean_a out_o of_o sight_n after_o they_o appear_v and_o show_v themselves_o again_o they_o go_v before_o and_o follow_v the_o sun_n they_o be_v carry_v swift_a and_o their_o motion_n again_o so_o stay_v that_o they_o be_v move_v in_o a_o manner_n nothing_o at_o all_o but_o seem_v as_o they_o be_v stay_v for_o a_o time_n from_o the_o sun_n way_n one_o while_o carry_v into_o the_o south_n and_o another_o while_n carry_v into_o the_o north_n and_o then_o unto_o the_o same_o way_n draw_v back_o again_o so_o that_o their_o journey_n be_v pass_v and_o finish_v they_o steady_o repeat_v their_o old_a course_n by_o the_o like_a order_n of_o these_o be_v seven_o and_o each_o carry_v in_o their_o proper_a orb_n and_o compass_v about_o the_o zodiac_n in_o unlike_a space_n of_o time_n saturne_n high_a of_o the_o planet_n and_o most_o slow_a in_o course_n be_v cold_a and_o dry_a pale_a to_o a_o leady_a colour_n and_o perform_v his_o course_n in_o 30._o year_n be_v ninty_a time_n with_o a_o eight_o part_n great_a than_o the_o earth_n and_o the_o high_a ascension_n or_o point_n of_o saturnus_n orb_n which_o at_o this_o day_n be_v in_o the_o 29._o degree_n of_o sagitarius_n be_v from_o the_o earth_n 20072._o semidiametres_fw-fr with_o a_o four_o part_n almost_o and_o 15._o minute_n but_o the_o low_a point_n of_o satur_n orb_n be_v distant_a from_o the_o earth_n 14378._o with_o a_o three_o part_n and_o 20._o minute_n ivpiter_n be_v next_o unto_o saturn_n temperate_a and_o so_o clear_a or_o bright_a that_o he_o give_v in_o a_o manner_n a_o shadow_n especial_o when_o he_o be_v perigeus_fw-la or_o low_a descend_v to_o the_o earthward_a and_o he_o compass_v about_o the_o zodiac_n in_o twelve_o year_n but_o jupiter_n give_v this_o proper_a shadow_n when_o neither_o the_o light_n be_v above_o the_o earth_n nor_o venus_n near_o to_o he_o he_o be_v great_a than_o the_o earth_n by_o ninty_a five_o time_n and_o a_o half_a part_n almost_o and_o the_o high_a ascension_n of_o jupiters_n orb_n which_o possess_v the_o seven_o degree_n of_o libra_n be_v from_o the_o earth_n 14369._o with_o a_o four_o part_n almost_o and_o 15._o minute_n but_o the_o low_a point_n of_o jupiters_n orb_n be_v from_o the_o earth_n distant_a 8853._o semidiametres_fw-fr with_o a_o nine_o part_n and_o 45._o minute_n mar_n be_v hot_a and_o dry_a and_o shine_v with_o a_o fiery_a colour_n do_v go_v about_o the_o zodiac_n in_o the_o space_n of_o two_o year_n he_o be_v name_v the_o fiery_a planet_n of_o his_o shine_a with_o a_o fiery_a colour_n or_o of_o the_o effect_n which_o follow_v by_o he_o in_o that_o he_o burn_v and_o dri_v up_o he_o be_v one_o time_n great_a than_o the_o earth_n and_o a_o little_a more_o than_o a_o three_o part_n the_o high_a ascension_n of_o mars_n orb_n that_o obtain_v the_o 28._o degree_n of_o leo_n be_v now_o distant_a after_o albategnius_n from_o the_o earth_n 8022._o semidiametres_fw-fr but_o the_o low_a point_n from_o the_o earth_n be_v 1176._o semidiametres_fw-fr the_o sun_n obtain_v the_o middle_a place_n between_o the_o planet_n whole_o and_o thorough_o bright_a be_v the_o fountain_n and_o author_n of_o light_n which_o by_o his_o motion_n express_v and_o devide_v the_o space_n of_o the_o zodiac_n and_o by_o his_o go_v about_o have_v the_o sign_n their_o name_n he_o be_v great_a than_o the_o earth_n after_o ptolemy_n a_o hundred_o threescore_o and_o six_o time_n with_o three_o eight_o part_n but_o after_o capernicus_n the_o sun_n exceed_v the_o earth_n a_o hundred_o threescore_o &_o two_o time_n with_o eight_o part_n less_o the_o high_a ascension_n or_o point_n of_o the_o sun_n sphere_n which_o n●w_o possess_v the_o seven_o degree_n of_o cancer_n be_v from_o the_o earth_n distant_a 1179._o semidiametres_fw-fr but_o the_o low_a point_n of_o the_o sun_n orb_n be_v from_o the_o earth_n distant_a 1065._o semidiametres_fw-fr venus_n next_o to_o the_o sun_n be_v cold_a and_o moist_a white_a in_o colour_n clear_a and_o bright_a shine_a then_o jupiter_n and_o be_v carry_v about_o like_o the_o sun_n in_o a_o year_n space_n and_o both_o go_v before_o and_o follow_v the_o sun_n nor_o be_v further_a distant_a in_o the_o spring_n of_o the_o morning_n from_o he_o than_o 46._o degree_n and_o 47._o minute_n but_o in_o the_o evening_n she_o be_v see_v digrssed_a from_o he_o unto_o 47._o degree_n and_o 35_o minute_n when_o she_o go_v in_o the_o morning_n before_o the_o sun_n thou_o be_v name_v the_o day_n star_n but_o when_o she_o follow_v the_o sun_n in_o the_o evening_n she_o be_v then_o name_v the_o evening_n star_n lesser_o she_o be_v then_o the_o earth_n but_o her_o true_a quantity_n be_v yet_o unknown_a for_o that_o some_o affirm_v her_o quantity_n to_o be_v the_o 28._o part_n and_z other_o the_o 37._o part_n of_o the_o earth_n the_o high_a ascension_n of_o venus_n sphere_n that_o obtain_v the_o 18._o degree_n &_o 20._o minute_n of_o taurus_n be_v from_o the_o earth_n after_o albategnius_n 1070._o semidiametres_fw-fr but_o the_o low_a point_n be_v 166._o semidiametres_fw-fr distant_a from_o the_o earth_n mercurie_n be_v low_o than_o venus_n be_v variable_a and_o apt_a to_o be_v change_v bright_a but_o not_o white_a in_o colour_n and_o be_v carry_v about_o the_o sun_n like_v to_o venus_n as_o one_o while_o move_v before_o and_o a_o other_o while_o follow_v the_o sun_n nor_o be_v he_o further_o distant_a in_o the_o morning_n from_o he_o than_o 29._o degree_n and_o 37._o minute_n and_o at_o the_o evening_n westward_o 27._o degree_n and_o 37._o minute_n he_o perform_v his_o whole_a course_n in_o the_o space_n of_o a_o year_n as_o the_o sun_n do_v also_o he_o be_v judge_v to_o be_v the_o seven_o part_n of_o 2d_o or_o 22000._o part_n of_o
stand_n first_o the_o earth_n be_v place_v without_o the_o be_v tree_n of_o the_o world_n yet_o in_o such_o sort_n that_o it_o be_v equal_o distant_a from_o either_o pole_n that_o be_v that_o the_o equinoctial_a may_v be_v in_o the_o plain_a upper_a face_n as_o in_o the_o letter_n d._n appear_v second_o that_o it_o be_v stand_v on_o the_o exetrée_n of_o the_o world_n yet_o without_o the_o plain_a upper_a face_n of_o the_o equinoctial_a that_o be_v that_o it_o be_v near_o to_o either_o of_o the_o pole_n as_o in_o the_o point_n b._n or_o g._n three_o that_o it_o be_v neither_o stand_v in_o the_o exetrée_n of_o the_o world_n nor_o in_o the_o plain_a of_o the_o equinoctial_a as_o in_o the_o point_n a._n c._n f._n e._n the_o first_o stand_v be_v grant_v these_o absurdity_n shall_v then_o ensue_v through_o the_o diverse_a place_n in_o diverse_a and_o sundry_a place_n of_o the_o plain_n equatoure_n 1_o in_o the_o right_a sphere_n shall_v never_o the_o equinoctium_n or_o a_o like_a day_n and_o night_n be_v cause_v in_o that_o the_o horrizont_n shall_v never_o cut_v or_o part_v the_o equinoctial_a into_o two_o equal_a half_n 2_o in_o the_o thwart_a sphere_n shall_v no_o equinoctial_a bee_n and_o somewhere_o again_o shall_v the_o equinoctial_a be_v but_o not_o in_o the_o middle_a parallel_n between_o the_o two_o tropicke_n that_o be_v it_o shall_v not_o happen_v the_o sun_n be_v in_o the_o equinoctial_a but_o in_o a_o other_o lesser_a parallel_n circle_n be_v near_a to_o either_o tropic_n point_n 3_o the_o time_n from_o the_o rise_n unto_o the_o noon_n tide_n shall_v not_o be_v equal_a to_o the_o time_n from_o the_o noon_n tie_v unto_o the_o set_n of_o the_o sun_n 4_o the_o magnitude_n and_o space_n between_o the_o fix_a star_n both_o in_o the_o east_n and_o west_n shall_v not_o be_v see_v equal_a or_o a_o like_a in_o the_o second_o stand_v if_o that_o the_o earth_n shall_v be_v place_v on_o the_o exetrée_n and_o not_o in_o the_o middle_a of_o the_o world_n then_o shall_v these_o absurdity_n ensue_v in_o every_o climate_n the_o plain_n of_o the_o horrizont_n shall_v cut_v heaven_n into_o two_o unequal_a half_n except_o those_o place_n have_v the_o right_a sphere_n yea_o and_o the_o zodiac_n shall_v be_v divide_v into_o two_o unequal_a ark_n so_o that_o there_o shall_v be_v somewhere_o more_o and_o somewhere_o less_o than_o six_o sign_n of_o the_o zodiac_n see_v above_o the_o horrizont_n which_o be_v contrary_a to_o all_o experience_n 2_o the_o equinoctial_a shadow_n both_o of_o the_o rise_n and_o set_v of_o the_o sun_n shall_v not_o agree_v in_o such_o sort_n that_o they_o may_v fall_v in_o right_a line_n neither_o the_o shadow_n of_o the_o rise_n of_o the_o sun_n in_o the_o solstitial_a or_o long_a day_n shall_v make_v or_o stretch_v in_o right_a line_n with_o the_o shadow_n of_o the_o sun_n set_v in_o the_o brumal_a or_o short_a day_n et_fw-la econuerso_fw-la in_o the_o three_o stand_v if_o neither_o it_o shall_v be_v on_o the_o exetrée_n of_o the_o world_n stand_v nor_o in_o the_o plain_a of_o the_o equatour_n then_o shall_v the_o same_o absurdity_n ensue_v which_o be_v utter_v in_o the_o two_o former_a to_o conclude_v wheresoever_o the_o earth_n be_v general_o place_v without_o the_o middle_a of_o the_o world_n there_o be_v the_o reason_n of_o the_o day_n equal_a increase_n &_o decrease_v in_o the_o thwart_a sphere_n confound_v and_o there_o shall_v either_o no_o equinoctial_o at_o all_o be_v cause_v when_o the_o sun_n occupi_v the_o middle_a way_n between_o either_o tropic_n nor_o the_o moon_n always_o shadow_v the_o sun_n light_n although_o she_o come_v right_a against_o the_o body_n of_o the_o sun_n and_o the_o earth_n not_o stand_v in_o the_o middle_a of_o the_o world_n shall_v not_o shed_v or_o stretch_v his_o shadow_n to_o the_o moon_n so_o that_o all_o these_o absurdity_n and_o vain_a argument_n do_v grant_v that_o the_o earth_n can_v be_v in_o any_o other_o place_n then_o stand_v in_o the_o middle_n of_o the_o world_n that_o the_o earth_n abide_v fix_v and_o unmoveable_a in_o the_o middle_a of_o the_o world_n that_o neither_o the_o earth_n in_o right_a nor_o cyrculare_a motion_n be_v draw_v about_o the_o exe_n tree_n of_o the_o world_n nor_o about_o any_o other_o exetrée_n but_o to_o rest_v and_o stay_v in_o the_o middle_a of_o the_o world_n both_o holy_a scripture_n confirm_v and_o physic_n reason_n prove_v for_o the_o psalm_n say_v which_o establish_v the_o earth_n upon_o his_o foundation_n that_o it_o shall_v never_o be_v move_v and_o ecclesiastes_n in_o the_o first_o chapter_n say_v that_o the_o earth_n stand_v for_o ever_o and_o the_o sun_n both_o rise_v set_v and_o go_v about_o unto_o the_o place_n where_o he_o arise_v also_o that_o the_o sun_n be_v draw_v about_o the_o psalm_n do_v manifest_o witness_v where_o it_o be_v say_v that_o for_o the_o sun_n he_o have_v place_v a_o tabernacle_n in_o they_o and_o he_o as_o a_o bridegroom_n go_v forth_o of_o his_o chamber_n do_v rejoice_v as_o a_o giant_n to_o run_v his_o course_n which_o go_v forth_o from_o the_o uttermost_a bind_v of_o heaven_n and_o return_v about_o unto_o the_o end_n of_o it_o again_o also_o it_o be_v know_v and_o number_v among_o miracle_n that_o god_n will_v have_v the_o sun_n to_o continue_v the_o physic_n reason_n be_v these_o that_o of_o one_o simple_a body_n be_v only_o one_o simple_a motion_n that_o the_o earth_n be_v a_o simple_a body_n therefore_o thereunto_o agree_v but_o one_o simple_a motion_n but_o of_o the_o simple_a motion_n i_o have_v before_o teach_v that_o the_o one_o be_v in_o right_a manner_n and_o the_o other_o in_o cyrculare_a form_n that_o the_o right_a motion_n seek_v downward_o unto_o the_o middle_a whether_o be_v carry_v they_o settle_v and_o rest_v therefore_o be_v the_o motion_n of_o the_o earth_n not_o cyrculare_a about_o by_o the_o second_o appear_v that_o every_o grave_n or_o heavy_a matter_n by_o nature_n be_v through_o his_o weight_n carry_v after_o a_o most_o straight_a line_n unto_o the_o centre_n and_o both_o fetle_v stay_v and_o rest_v at_o the_o same_o where_o it_o neither_o fall_v or_o be_v carry_v any_o further_a so_o that_o all_o grave_a matter_n as_o the_o part_n of_o the_o earth_n and_o those_o which_o consist_v of_o the_o earth_n be_v send_v or_o carry_v by_o a_o most_o straight_o lead_v unto_o the_o earth_n and_o at_o his_o upper_a face_n shall_v stay_v and_o rest_n and_o wear_v it_o not_o that_o they_o be_v stay_v through_o the_o fastness_n of_o the_o earth_n they_o shall_v so_o long_o be_v carry_v downwards_o until_o they_o come_v unto_o the_o centre_n also_o the_o earth_n through_o his_o fastness_n receyve_v and_o bear_v all_o thing_n fall_v on_o it_o therefore_o do_v the_o earth_n much_o more_o be_v within_o the_o centre_n stay_v and_o rest_v fix_v and_o unmoveable_a bear_v all_o other_o heavy_a thing_n fall_v on_o it_o see_v the_o earth_n be_v heavy_a of_o all_o other_o by_o the_o three_o it_o be_v evident_a that_o if_o the_o earth_n shall_v be_v move_v or_o carry_v it_o shall_v of_o necessity_n be_v either_o draw_v in_o right_a or_o cyrculare_a motion_n if_o it_o shall_v be_v carry_v in_o a_o right_a manner_n see_v it_o be_v the_o heavy_a of_o all_o other_o it_o shall_v by_o his_o swiftness_n move_v and_o go_v before_o all_o other_o heavy_a thing_n and_o shall_v leave_v behind_o the_o live_a creature_n and_o other_o thing_n fasten_v to_o it_o and_o shall_v also_o leave_v they_o hang_v behind_o in_o the_o air_n if_o the_o earth_n shall_v be_v draw_v about_o by_o a_o cyrculare_a motion_n &_o shall_v in_o a_o day_n turn_n at_o the_o least_o be_v carry_v about_o the_o exetrée_n from_o the_o west_n into_o the_o east_n as_o either_o alone_a or_o with_o the_o first_o orb_n then_o every_o day_n shall_v many_o most_o disorder_a thing_n and_o contrary_a to_o experience_n happen_v for_o it_o shall_v be_v a_o most_o speedy_a motion_n and_o swiftness_n inseparable_a which_o shall_v draw_v cyrcular_o all_o the_o whole_a earthly_a body_n round_o about_o in_o 24._o hour_n and_o therefore_o that_o the_o earth_n be_v carry_v with_o so_o swift_a motion_n shall_v not_o only_o overthrow_v building_n but_o high_a hill_n and_o great_o shake_v and_o harm_v all_o thing_n fasten_v and_o grow_v on_o the_o earth_n yea_o all_o live_a beast_n and_o other_o creature_n dwell_v on_o the_o face_n of_o the_o earth_n shall_v be_v likewise_o shake_v and_o harm_v also_o the_o cloud_n fowl_n and_o whatsoever_o live_v and_o hang_v in_o the_o air_n shall_v be_v carry_v and_o leave_v behind_o at_o the_o set_n in_o the_o west_n for_o by_o the_o swift_a turn_v about_o of_o the_o earth_n shall_v all_o thing_n be_v over_o turn_v and_o leave_v behind_o by_o a_o
office_n of_o the_o celestial_a circle_n be_v these_o 1_o that_o they_o divide_v heaven_n into_o certain_a space_n or_o region_n 2_o the_o course_n of_o the_o planet_n the_o firmament_n and_o first_o mover_n by_o the_o help_n of_o these_o circle_n be_v observe_v and_o bring_v unto_o a_o rule_n 3_o they_o show_v the_o point_n of_o rise_v and_o set_v the_o nearness_n and_o difference_n both_o of_o day_n and_o night_n 4_o the_o time_n and_o variety_n of_o all_o the_o celestial_a appearance_n may_v be_v observe_v and_o know_v of_o the_o circle_n by_o a_o certain_a reason_n the_o six_o great_a circle_n be_v number_v by_o name_n stand_v and_o use_v distinguish_v as_o the_o equinoctial_a zodiac_n colour_n of_o the_o equinoctial_o colour_n of_o the_o solstice_n meridiane_a horizont_fw-fr but_o there_o be_v many_o other_o as_o the_o circle_n define_v or_o describe_v by_o the_o pole_n of_o the_o zodiac_n and_o centre_n of_o the_o star_n which_o be_v name_v the_o circle_n of_o the_o latitude_n the_o circle_n draw_v by_o the_o verticial_a point_n of_o diverse_a place_n which_o may_v be_v name_v the_o circle_n of_o the_o distance_n or_o space_n between_o place_n for_o that_o the_o top_n do_v knit_v or_o join_v together_o by_o the_o nigh_a space_n of_o the_o difference_n of_o place_n and_o do_v show_v the_o distance_n of_o they_o the_o circle_n by_o the_o centre_n of_o the_o star_n and_o pole_n of_o the_o world_n draw_v be_v name_v the_o circle_n of_o the_o declination_n of_o the_o star_n the_o six_o circle_n of_o the_o position_n through_o which_o by_o the_o thirty_o part_n of_o the_o equatoure_n and_o the_o point_n touch_v of_o the_o horizont_n and_o meridian_n draw_v over_o the_o equatoure_n do_v regiomontane_n part_n and_o divide_v the_o whole_a heaven_n into_o twelve_o equal_a space_n which_o he_o name_v the_o house_n of_o heaven_n the_o six_o great_a circle_n through_o which_o by_o the_o pole_n of_o the_o zodiac_n and_o the_o thirty_o part_n of_o the_o same_o bend_a and_o wrythe_v do_v julius_n firmicus_n divide_v the_o zodiac_n into_o twelve_o equal_a part_n but_o the_o equatoure_n into_o as_o many_o unequal_a ark_n but_o that_o former_a distribution_n and_o dispose_n of_o the_o circle_n by_o regiomontane_n both_o devise_v and_o demonstrate_v of_o he_o do_v bring_v and_o cause_v a_o reason_n of_o the_o frame_n of_o the_o figure_n of_o heaven_n which_o they_o name_v rational_a in_o that_o the_o same_o invent_a and_o teach_v by_o principle_n and_o demonstration_n be_v declare_v by_o certain_a reason_n the_o other_o invent_v and_o exercise_v of_o other_o do_v bring_v and_o cause_v another_o reason_n of_o the_o form_n and_o erect_v of_o the_o figure_n of_o heaven_n which_o of_o the_o same_o they_o name_v the_o equal_a manner_n in_o that_o it_o part_v or_o devide_v the_o zodiac_n into_o equal_a ark_n many_o other_o circle_n there_o be_v which_o for_o brevity_n be_v here_o overpass_o for_o that_o they_o belong_v not_o unto_o this_o determine_a treatise_n of_o the_o principle_n the_o lesser_a circle_n although_o there_o be_v in_o a_o manner_n infinite_a of_o they_o yet_o be_v there_o four_o only_o recite_v and_o especial_o know_v which_o also_o be_v name_v parallel_n as_o the_o tropic_n of_o cancer_n tropic_n of_o capricorn_n the_o arctic_a or_o northerly_a circle_n the_o antarctic_a of_o the_o four_o great_a circle_n afore_o write_v they_o both_o be_v movable_a and_o be_v continual_o draw_v about_o with_o the_o first_o mover_n and_o never_o change_v but_o the_o two_o nether_a circle_n as_o the_o meridiane_a and_o horizont_a do_v remain_v and_o abide_v fix_v and_o immovable_a in_o the_o go_n about_o of_o heaven_n and_o the_o stand_v always_o change_v on_o the_o earth_n toward_o what_o quarter_n soever_o they_o be_v vary_v as_o they_o may_v be_v and_o be_v in_o a_o manner_n infinite_a in_o number_n the_o astronomer_n divide_v both_o the_o great_a and_o lesser_a circle_n into_o 360._o degree_n which_o they_o so_o name_v through_o the_o sun_n passage_n or_o journey_n in_o the_o zodiac_n measure_v and_o define_v by_o his_o daily_a course_n such_o like_a part_n and_o space_n and_o of_o these_o part_n or_o degree_n of_o the_o great_a circle_n it_o be_v find_v and_o know_v that_o each_o degree_n contain_v in_o the_o upper_a face_n of_o the_o earth_n either_o 62500._o pace_n or_o 500_o furlong_n or_o 15._o german_a mile_n but_o each_o part_n of_o the_o lesser_a circle_n do_v comprehend_v a_o lesser_a space_n by_o somuch_o as_o by_o how_o much_o more_o from_o the_o magnitude_n of_o the_o parallel_n which_o be_v the_o middle_n and_o great_a by_o reason_n of_o the_o distance_n they_o lack_v or_o differ_v and_o each_o of_o the_o three_o hundred_o threescore_o degree_n be_v also_o part_v or_o divide_v into_o three_o score_n minute_n and_o each_o minute_n into_o three_o score_n second_o and_o each_o second_o into_o three_o score_n three_o and_o so_o forth_o from_o three_o unto_o fourthe_n and_o so_o unto_o ten_o they_o distribute_v they_o the_o description_n name_n and_o utility_n of_o the_o equinoctial_a the_o equinoctial_a which_o the_o greek_n name_n 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d be_v a_o great_a circle_n place_v in_o the_o middle_a place_n of_o the_o sphere_n between_o either_o pole_n of_o the_o world_n and_o devide_v both_o by_o equal_a space_n movable_a and_o cross_v the_o zodiac_n in_o two_o point_n which_o when_o the_o sun_n do_v come_v unto_o he_o than_o cause_v a_o like_a day_n and_o night_n throughout_o the_o earth_n whereof_o this_o circle_n first_o purchase_v that_o name_n in_o that_o the_o day_n be_v equal_a to_o the_o night_n which_o happen_v twice_o in_o the_o year_n as_o in_o the_o beginning_n and_o entrance_n of_o the_o sun_n both_o into_o aries_n and_o libra_n and_o a_o straight_a line_n draw_v out_o by_o imagination_n do_v describe_v this_o circle_n reach_v out_o of_o the_o centre_n of_o the_o earth_n by_o the_o centre_n of_o the_o sun_n body_n on_o a_o plain_a or_o flat_a of_o the_o equinoctial_a be_v unto_o the_o first_o mover_n or_o unto_o any_o of_o the_o fix_a star_n to_o the_o equatoure_n fasten_v to_o the_o eight_o sphere_n as_o that_o either_o of_o they_o which_o with_o the_o third_o be_v somewhat_o low_o and_o darck_a do_v fashion_n the_o girdle_n of_o orione_n and_o that_o by_o a_o daily_a and_o continual_a turn_v draw_v about_o of_o the_o first_o mover_n until_o the_o same_o be_v return_v unto_o the_o place_n from_o whence_o it_o begin_v and_o likewise_o the_o sun_n or_o any_o other_o constellation_n place_v or_o be_v in_o it_o do_v in_o every_o region_n describe_v the_o half_a of_o the_o parallel_n above_o the_o horizont_n and_o the_o other_o half_a under_o the_o horizont_n which_o ptolemy_n name_v the_o circle_n of_o the_o equatoure_n of_o the_o day_n and_o alphraganus_n the_o circle_n of_o the_o equinoctial_a and_o swath_n or_o girdle_n of_o the_o first_o mover_n in_o that_o it_o compass_v about_o the_o first_o mover_n as_o strabo_n write_v that_o it_o part_v the_o northerly_a half_a sphere_n from_o the_o southerly_a for_o this_o great_a circle_n of_o the_o first_o mover_n be_v the_o first_o measurer_n both_o of_o time_n and_o motion_n in_o that_o it_o cause_v the_o proportional_a cyrcumference_n by_o the_o space_n of_o time_n and_o while_o it_o be_v once_o draw_v about_o a_o natural_a day_n be_v perform_v and_o while_o the_o compass_n also_o of_o the_o whole_a have_v move_v one_o four_o and_o twenty_o part_n a_o equal_a or_o equinoctial_a hour_n have_v pass_v by_o which_o it_o do_v evident_o appear_v that_o this_o circle_n belong_v unto_o the_o first_o mover_n this_o worthy_a circle_n have_v diverse_a name_n 1_o it_o be_v name_v the_o equinoctial_a in_o that_o it_o cause_v a_o like_a night_n to_o the_o artificial_a day_n 2_o it_o be_v by_o the_o same_o reason_n na_fw-mi med_n the_o equatoure_n for_o that_o it_o make_v equal_v the_o night_n to_o the_o day_n 3_o it_o be_v name_v the_o girdle_n of_o the_o first_o mover_n not_o unproper_o for_o that_o as_o a_o girdle_n do_v gird_v or_o divide_v our_o body_n into_o two_o equal_a half_n even_o so_o this_o circle_n devide_v the_o sphere_n or_o first_o mover_n by_o the_o middle_n 4_o it_o be_v name_v the_o line_n of_o the_o equality_n of_o the_o day_n or_o the_o line_n of_o the_o equation_n of_o the_o orb_n of_o the_o day_n or_o the_o just_a division_n of_o the_o day_n and_o night_n 5_o of_o pliny_n it_o be_v name_v the_o centre_n of_o the_o earth_n and_o that_o not_o incongruent_o see_v all_o the_o parallel_n circle_n describe_v from_o the_o centre_n of_o the_o sun_n by_o the_o motion_n of_o the_o first_o mover_n have_v their_o centre_n from_o the_o centre_n of_o the_o earth_n and_o that_o the_o equatour_n only_o which_o when_o the_o sun_n shall_v be_v in_o the_o
part_n or_o degree_n of_o the_o equatour_n in_o his_o motion_n and_o rise_n above_o the_o horizont_n do_v make_v a_o hour_n and_o every_o degree_n four_o minute_n of_o a_o equal_a hour_n so_o that_o the_o quarter_n or_o fifteen_o minute_n of_o each_o degree_n do_v produce_v and_o cause_v one_o minute_n of_o a_o hour_n also_o they_o observe_v the_o ascension_n and_o descension_n of_o the_o sign_n in_o this_o circle_n for_o that_o in_o any_o region_n or_o country_n a_o man_n may_v know_v the_o length_n of_o the_o artificial_a day_n and_o night_n by_o have_v a_o spherical_a instrument_n and_o the_o sun_n place_v in_o the_o east_n horizont_fw-fr let_v the_o note_n of_o the_o equinoctial_a be_v move_v and_o after_o the_o sun_n be_v turn_v into_o the_o west_n horizont_fw-fr let_v the_o note_n again_o of_o the_o equinoctial_a be_v move_v into_o the_o east_n horizont_fw-fr so_o that_o the_o degree_n of_o the_o equinoctial_a number_v mark_v with_o these_o note_n do_v cause_n a_o artificial_a day_n count_v always_o fifteen_o degree_n of_o the_o equinoctial_a for_o a_o equal_a hour_n to_o conclude_v the_o length_n of_o the_o artificial_a day_n know_v by_o subtract_v the_o same_o from_o 24._o hour_n the_o quantity_n of_o the_o night_n remain_v shall_v appear_v how_o much_o it_o be_v last_o the_o sun_n be_v enter_v into_o this_o circle_n do_v rise_v in_o the_o just_a east_n point_n and_o set_v full_a west_n but_o in_o the_o high_a of_o summer_n be_v come_v to_o cancer_n he_o rise_v north-east_n and_o set_v northwest_o at_o what_o time_n the_o noontide_n be_v high_a but_o in_o the_o short_a time_n of_o winter_n when_o the_o sun_n be_v come_v to_o capricorn_n he_o contrariwise_o rise_v southeast_n and_o be_v in_o the_o noonetide_v low_a 4_o it_o distinguish_v the_o equinoctial_o and_o cross_v the_o zodiac_n thwart_o wreathe_a and_o bend_a to_o it_o in_o two_o opposite_a point_n which_o when_o the_o sun_n come_v and_o be_v in_o it_o he_o cause_v like_o space_n of_o the_o day_n and_o night_n and_o of_o the_o same_o those_o entraunce_n of_o the_o sun_n be_v name_v the_o equinoctial_a point_n and_o there_o be_v two_o equinoctial_o cause_v in_o every_o year_n as_o the_o one_o the_o sun_n enter_v the_o beginning_n of_o aries_n or_o the_o spring_n point_n of_o the_o cross_n of_o the_o zodiac_n and_o equinoctial_a in_o the_o begin_n of_o the_o spring_n which_o the_o latin_n name_n the_o equinoctial_a spring_n and_o the_o greek_n isemerian_n earinén_n and_o the_o celestial_a point_n of_o the_o same_o equinoctial_a the_o greek_n name_v the_o point_n of_o our_o equinoctial_a spring_n the_o other_o equinoctial_a be_v cause_v when_o the_o sun_n have_v his_o beginning_n of_o libra_n in_o the_o entrance_n of_o harvest_n call_v the_o equinoctial_a harvest_n and_o the_o celestial_a point_n in_o which_o the_o sun_n happen_v they_o name_v the_o point_n of_o our_o equinoctial_a harvest_n these_o point_n remain_v not_o fix_v in_o one_o place_n of_o heaven_n but_o in_o the_o go_n before_o do_v proceed_v or_o move_v forward_o under_o the_o eight_o orb_n and_o turn_v before_o the_o place_n of_o the_o fix_a star_n for_o the_o point_n of_o the_o equinoctial_a spring_n that_o in_o the_o first_o year_n of_o olimpias_n follow_v the_o first_o star_n of_o aries_n of_o the_o eight_o sphere_n 4._o degree_n and_o 52._o minute_n and_o in_o the_o year_n of_o the_o death_n of_o alexander_n one_o degree_n and_o 58._o minute_n the_o same_o after_o the_o begin_n of_o the_o year_n of_o julius_n cesar_n follow_v 4._o degree_n and_o 50_o minute_n and_o in_o the_o year_n of_o christ_n birth_n 5._o degree_n and_o 16._o minute_n in_o ptholomies_n time_n 6._o degree_n and_o 40._o minute_n it_o go_v before_o the_o same_o star_n and_o in_o these_o year_n it_o go_v before_o that_o star_n 27._o degree_n and_o 35._o minute_n so_o that_o the_o yearly_a time_n of_o the_o equinoctial_o be_v come_v back_o from_o the_o ancient_a time_n and_o move_v before_o the_o mark_v day_n by_o a_o long_a space_n for_o that_o the_o equinoctial_a spring_n which_o about_o the_o begin_n of_o the_o year_n of_o olimpias_n happen_v in_o the_o first_o or_o second_o of_o april_n in_o the_o begin_n of_o the_o year_n of_o cesar_n in_o the_o 25._o day_n of_o march._n in_o the_o time_n of_o christ_n our_o saviors_n birth_n in_o the_o 23._o or_o 24._o day_n of_o march._n in_o ptholomies_n time_n in_o the_o 22._o or_o 23._o day_n of_o march_n but_o in_o our_o time_n it_o happen_v in_o the_o 11._o or_o 12._o day_n of_o march_n and_o in_o this_o year_n 1570._o it_o happen_v in_o the_o 11._o day_n of_o march_n and_o in_o the_o 11._o hour_n before_o noon_n on_o saturday_n the_o autumnal_a or_o harvest_n equinoctial_a which_o happen_v in_o christ_n our_o saviour_n time_n in_o the_o 23._o or_o 24._o day_n of_o september_n be_v bring_v back_n and_o come_v in_o this_o our_o time_n unto_o the_o 13._o or_o 14._o day_n of_o september_n and_o in_o this_o year_n 1570._o shall_v happen_v in_o the_o 13._o day_n and_o in_o the_o 10._o hour_n and_o 21._o minute_n after_o noon_n on_o wednesday_n and_o through_o this_o variation_n of_o the_o fix_a star_n and_o equinoctial_o be_v cause_v that_o the_o late_a practitioner_n have_v find_v a_o other_o quantity_n of_o the_o year_n contrary_a to_o the_o ancient_n for_o hipparchus_n and_o ptolemy_n have_v establish_v in_o their_o time_n the_o quantity_n of_o the_o tropic_n year_n to_o be_v of_o 365._o day_n 5._o hour_n 55._o minute_n and_o 12._o second_n the_o alphonsine_n of_o 365._o day_n 5._o hour_n 55._o minute_n and_o 12._o second_n albategnius_n 365._o day_n 5._o hour_n 46._o minute_n and_o 56._o second_n cardanus_n of_o 365._o day_n 5._o hour_n 48._o minute_n 41._o second_n and_o 47._o three_o and_o thebitius_n have_v establish_v the_o starry_a year_n to_o be_v of_o 365._o day_n 6_o hour_n 9_o minute_n and_o 32._o second_n which_o be_v the_o space_n of_o time_n in_o which_o the_o sun_n return_v unto_o the_o same_o fix_a star_n but_o the_o tropic_n year_n be_v the_o sun_n return_n after_o his_o measure_n of_o the_o whole_a zodiac_n unto_o the_o equinoctial_a or_o soisticiall_a point_n so_o that_o by_o the_o say_a point_n change_v either_o in_o the_o increase_n or_o come_v soon_o as_o hitherto_o have_v be_v observe_v be_v the_o quantity_n of_o the_o year_n find_v to_o be_v in_o diverse_a and_o sundry_a wise_n of_o the_o practisioner_n by_o it_o also_o be_v learned_a and_o know_v which_o star_n and_o image_n celestial_a be_v towards_o the_o north_n or_o south_n from_o it_o and_o by_o it_o be_v the_o starrieskie_a divide_v into_o two_o equal_a half_n of_o which_o the_o one_o half_a be_v towards_o the_o north_n and_o the_o other_o toward_o the_o south_n so_o that_o the_o denomination_n so_o well_o of_o the_o planet_n as_o fix_v star_n be_v there_o by_o learned_a whether_o they_o be_v southerly_a or_o the_o northerly_a an_o other_o author_n write_v thus_o of_o it_o that_o it_o devide_v heaven_n into_o two_o part_n of_o which_o the_o one_o be_v name_v northerly_a of_o the_o seven_o star_n in_o the_o great_a bear_n the_o other_o southerly_a in_o that_o the_o sun_n about_o the_o south_n seem_v always_o to_o abide_v with_o we_o in_o that_o quarter_n and_o if_o the_o same_o may_v be_v know_v which_o star_n be_v name_v northerly_a and_o which_o southerly_a and_o when_o the_o planet_n be_v name_v northerly_a and_o when_o southerly_a so_o that_o by_o this_o reason_n all_o the_o star_n and_o image_n from_o it_o tend_v towards_o the_o north_n to_o be_v northerly_a and_o from_o it_o tend_v towards_o the_o south_n to_o be_v southerly_a the_o northerly_a image_n in_o respect_n of_o the_o equinoctial_a be_v these_o the_o bull_n name_v in_o latin_a taurus_n be_v adorn_v with_o 33._o star_n although_o a_o other_o writer_n mention_v but_o of_o 32._o of_o these_o 5._o be_v in_o the_o face_n and_o about_o the_o eye_n and_o in_o the_o place_n where_o the_o horn_n be_v describe_v to_o be_v be_v one_o star_n a_o piece_n which_o make_v seven_o in_o number_n name_v hyades_n in_o greek_a and_o succullae_n in_o latin_a in_o that_o they_o stand_v like_a to_o the_o letter_n y._n these_o in_o the_o 10._o 11._o and_o 12_o degree_n of_o taurus_n have_v their_o latitude_n southerly_a of_o which_o 4._o be_v of_o the_o three_o bigness_n and_o one_o bright_a than_o the_o rest_n in_o the_o southerly_a eye_n name_v proper_o aldebaran_n of_o the_o first_o bigness_n and_o of_o the_o nature_n of_o marse_fw-mi the_o seven_o star_n on_o the_o back_n of_o this_o sign_n name_v pleiades_n and_o in_o latin_a virgiliae_fw-la but_o in_o english_a the_o cluster_a star_n in_o that_o they_o stand_v so_o near_o together_o that_o they_o can_v scarce_o be_v number_v yet_o these_o more_o
the_o top_n or_o high_a place_n over_o the_o head_n be_v join_v together_o in_o the_o centre_n of_o the_o earth_n and_o the_o foot_n be_v those_o parallel_n of_o the_o ecclipticke_a end_v the_o swath_n which_o may_v worthy_o be_v call_v a_o solid_a zodiac_n further_o a_o sign_n in_o the_o fifte_a manner_n be_v a_o portion_n of_o the_o spherical_a upper_a face_n enclose_v between_o two_o half_a circle_n end_v at_o the_o pole_n of_o the_o ecclipticke_a to_o conclude_v a_o sign_n in_o the_o sixth_o manner_n be_v mente_fw-la a_o solyde_a devider_n of_o the_o sphere_n contain_v in_o the_o say_v half_a circle_n and_o spherical_a upper_a face_n which_o be_v a_o sign_n understand_v in_o the_o five_o manner_n these_o diverse_a division_n serve_v as_o they_o write_v unto_o that_o end_n whereby_o all_o thing_n may_v be_v enclose_v within_o the_o sign_n for_o if_o sign_n be_v describe_v in_o the_o first_o manner_n then_o on_o such_o wise_a those_o star_n only_o and_o those_o point_n be_v say_v to_o be_v in_o the_o sign_n whatsoever_o shall_v be_v in_o that_o cyrcumference_n of_o the_o ecclipticke_a and_o in_o the_o first_o signification_n also_o be_v mean_v to_o be_v under_o the_o ecclipticke_a which_o agree_v only_o to_o the_o sun_n as_o at_o this_o day_n the_o sun_n be_v be_v the_o 23._o day_n of_o august_n in_o the_o 9_o degree_n and_o 9_o minute_n of_o virgo_fw-la at_o noon_n which_o be_v mean_v to_o be_v under_o that_o part_n of_o the_o eccliptick_a that_o be_v name_v the_o 9_o degree_n of_o virgo_fw-la if_o in_o the_o second_o manner_n planet_n shall_v be_v in_o sign_n which_o do_v not_o excee_v six_o degree_n of_o latitude_n or_o thus_o in_o the_o second_o signification_n to_o be_v under_o the_o zodiac_n be_v monte_fw-fr that_o here_o a_o sign_n be_v express_v enclose_v within_o a_o square_a pinnacle_n portion_n this_o signification_n agree_v to_o the_o other_o planet_n except_o the_o sun_n which_o decline_v from_o the_o ecclipticke_a as_o mars_n in_o this_o year_n 1599_o be_v in_o the_o 15._o degree_n of_o virgo_fw-la which_o be_v under_o that_o part_n of_o the_o zodiac_n that_o be_v say_v to_o be_v the_o 15._o of_o virgo_fw-la also_o he_o have_v a_o latitude_n northerly_a of_o two_o degree_n and_o 28._o minute_n if_o in_o the_o third_o manner_n the_o sun_n or_o any_o star_n shall_v be_v in_o sign_n place_v in_o the_o plain_a of_o the_o eccliptick_a or_o in_o the_o three_o signification_n to_o be_v in_o a_o sign_n signify_v to_o be_v refer_v unto_o any_o sign_n of_o the_o zodiac_n for_o the_o whole_a heaven_n be_v divide_v into_o twelve_o region_n in_o circle_n pass_v by_o the_o beginning_n of_o the_o sign_n and_o pole_n of_o the_o zodiac_n of_o which_o region_n each_o be_v name_v a_o sign_n and_o this_o signification_n agree_v to_o the_o star_n stand_v without_o the_o zodiac_n as_o the_o northerly_a crown_n which_o in_o our_o time_n be_v in_o scorpio_n and_o refer_v unto_o the_o sign_n of_o the_o zodiac_n that_o be_v call_v scorpio_n in_o that_o it_o be_v between_o those_o twoe_o half_a circle_n which_o pass_v by_o the_o beginning_n and_o end_n of_o scorpio_n if_o in_o the_o four_o manner_n the_o planet_n and_o star_n also_o not_o further_o distant_a than_o six_o degree_n from_o the_o ecclipticke_a or_o in_o the_o four_o signification_n be_v mean_v or_o refer_v unto_o any_o of_o the_o twelve_o region_n of_o heaven_n into_o which_o heaven_n by_o those_o six_o circle_n which_o pass_v by_o the_o beginning_n of_o the_o sign_n and_o pole_n of_o the_o zodiac_n as_o be_v afore_o write_v be_v divide_v this_o signification_n agree_v to_o those_o which_o be_v in_o the_o air_n as_o be_v the_o comet_n as_o if_o i_o write_v that_o a_o comet_n be_v in_o leo_n here_o i_o mean_v the_o six_o circle_n pass_v by_o the_o pole_n of_o the_o zodiac_n and_o beginning_n of_o the_o sign_n devide_v both_o heaven_n and_o the_o whole_a nether_a region_n of_o the_o world_n into_o twelve_o equal_a part_n so_o that_o a_o comet_n be_v say_v to_o be_v in_o leo_n see_v it_o be_v in_o that_o twelve_o part_n which_o the_o twoe_o half_a circle_n describe_v run_v or_o stretch_v by_o the_o beginning_n and_o end_n of_o leo._n if_o in_o the_o five_o manner_n all_o the_o star_n and_o point_n mean_v in_o the_o upper_a face_n of_o the_o sphere_n be_v include_v in_o sign_n if_o in_o the_o sixth_o manner_n than_o whatsoever_o be_v in_o the_o world_n whether_o the_o same_o be_v in_o the_o ethereal_a or_o elementary_a region_n be_v account_v to_o be_v include_v within_o a_o sign_n here_o conceive_v where_o the_o cyrcumference_n of_o the_o circle_n be_v mean_v and_o first_o imagine_v the_o circumference_n of_o the_o zodiac_n and_o all_o the_o other_o circle_n as_o i_o have_v afore_o write_v to_o be_v in_o the_o hollow_a upper_a face_n of_o the_o first_o mover_n and_o run_v as_o it_o be_v in_o the_o first_o after_o the_o second_o condition_n of_o motion_n and_o demonstrate_v alike_o distance_n and_o continue_v of_o the_o circle_n without_o impediment_n although_o the_o horizont_n the_o meridiane_a the_o uerticiall_a and_o other_o circle_n in_o respect_n of_o the_o habitation_n or_o dwell_v place_n remain_v immovable_a in_o that_o upper_a face_n of_o the_o first_o mover_n yet_o do_v it_o nothing_o hinder_v although_o heaven_n or_o the_o first_o mover_n be_v draw_v about_o that_o such_o circle_n be_v imagine_v to_o be_v immovable_a for_o there_o be_v nothing_o more_o agreeable_a then_o to_o imagine_v circle_n fix_v and_o those_o abide_n in_o any_o upper_a face_n of_o the_o earth_n so_o that_o it_o be_v necessary_a that_o the_o zodiac_n the_o equatoure_n and_o the_o other_o circle_n be_v describe_v movable_a in_o the_o hollow_a face_n of_o the_o first_o mover_n as_o the_o bound_n and_o enclosure_n of_o the_o whole_a world_n the_o horizont_n and_o meridiane_a and_o the_o other_o placed_z immovable_a in_o that_o hollow_a and_o fix_a upper_a face_n in_o which_o the_o whole_a earth_n be_v place_v by_o this_o mean_v the_o fix_a circle_n shall_v stay_v in_o the_o fix_a upper_a face_n and_o the_o movable_a circle_n shall_v be_v draw_v about_o with_o the_o movable_a as_o in_o a_o material_a instrument_n and_o solid_a sphere_n a_o man_n may_v see_v in_o which_o the_o zodiac_n the_o equatoure_n and_o other_o movable_a circle_n be_v draw_v about_o upon_o the_o exetrée_n between_o the_o two_o circle_n remain_v steady_a of_o which_o the_o one_o represent_v the_o horizont_n the_o other_o the_o meridian_n whether_o the_o same_o may_v be_v describe_v in_o the_o hollow_a or_o in_o the_o emboss_n of_o the_o first_o mover_n of_o the_o say_a cyrcumference_n it_o be_v little_a or_o nothing_o regard_v yet_o consider_v this_o that_o all_o man_n may_v behold_v and_o see_v within_o the_o heaven_n or_o first_o mover_n the_o hollow_a upper_a face_n of_o his_o enclosure_n to_o describe_v and_o imagine_v the_o circle_n in_o the_o same_o the_o circle_n place_v without_o the_o material_a instrument_n must_v of_o necessity_n force_v a_o man_n to_o describe_v the_o cyrcumference_n of_o the_o circle_n in_o that_o outward_a face_n of_o the_o instrument_n to_o conclude_v the_o zodiac_n be_v mean_v and_o describe_v according_a to_o his_o definition_n be_v a_o great_a circle_n who_o cyrcumference_n in_o the_o hollow_a of_o the_o first_o mover_n describe_v into_o sign_n degree_n and_o minute_n as_o be_v afore_o write_v be_v divide_v and_o see_v that_o circle_n describe_v by_o the_o sun_n yearly_a motion_n be_v imagine_v straight_o draw_v and_o define_v or_o determine_v from_o the_o centre_n of_o the_o sun_n course_n by_o the_o centre_n of_o the_o sun_n which_o with_o the_o sun_n be_v draw_v by_o a_o perfect_a revolution_n towards_o the_o east_n for_o this_o line_n in_o that_o motion_n cut_v the_o hollow_a upper_a face_n of_o the_o first_o mover_n do_v describe_v the_o cyrcumference_n of_o the_o zdiacke_n so_o that_o if_o the_o plain_a upper_a face_n of_o the_o sun_n course_n be_v extend_v until_o it_o cut_v the_o foresay_a hollow_a upper_a face_n which_o common_a section_n or_o cut_n shall_v be_v the_o self_n same_o cyrcumference_n of_o the_o zodiac_n unto_o which_o the_o place_n of_o the_o force_n and_o virtue_n of_o any_o star_n be_v apply_v therefore_o by_o the_o same_o mean_v that_o virtue_n of_o the_o moon_n or_o any_o of_o the_o planet_n draw_v in_o the_o same_o hollow_a of_o the_o upper_a heaven_n shall_v be_v like_o the_o same_o describe_v according_v to_o the_o diverse_a elevation_n of_o the_o pole_n whereof_o the_o colour_n be_v call_v unperfect_a circle_n there_o be_v two_o manner_n of_o colour_n as_o the_o colour_n of_o the_o solstice_n and_o colour_n of_o the_o equinoctial_o these_o two_o great_a circle_n be_v draw_v by_o the_o pole_n of_o the_o world_n of_o which_o the_o one_o go_v by_o the_o pole_n
those_o point_n depart_v not_o further_o from_o the_o equinoctial_a but_o come_v again_o unto_o the_o equinoctial_a which_o be_v cause_v twice_o in_o the_o year_n as_o in_o summer_n and_o winter_n whereof_o the_o one_o be_v call_v the_o summer_n solstice_n which_o in_o our_o time_n happen_v the_o 12._o of_o june_n or_o thereabouts_o be_v the_o next_o day_n after_o s._n barnaby_n the_o apostle_n where_o the_o long_a day_n be_v hold_v to_o be_v the_o other_o the_o winter_n solstice_n which_o in_o our_o time_n happen_v about_o the_o 11._o or_o 12._o day_n of_o december_n be_v a_o day_n or_o two_o before_o lucy_n where_o the_o day_n be_v account_v short_a whereof_o be_v this_o ancient_a verse_n extant_a vitus_n est_fw-fr lucia_n daunt_v tibi_fw-la solstitia_fw-la bina_fw-la of_o the_o former_a also_o ensue_v that_o there_o be_v certain_a fix_a and_o movable_a colour_n for_o there_o be_v a_o fix_a colour_n of_o the_o equi●octiale_fw-la which_o pass_v by_o the_o pole_n of_o the_o world_n and_o section_n of_o the_o equatoure_n and_o ecclipticke_a of_o the_o first_o mover_n the_o fix_a colour_n of_o the_o solstice_n do_v cut_v this_o at_o right_a angle_n in_o the_o pole_n of_o the_o world_n and_o pass_v by_o the_o middle_n of_o the_o sun_n great_a declination_n see_v neither_o the_o equinoctial_o nor_o solstice_n be_v cause_v according_a to_o the_o true_a meaning_n of_o the_o astronomer_n as_o afore_o may_v appear_v both_o in_o these_o point_n aswell_o as_o in_o other_o therefore_o a_o man_n must_v conceive_v that_o the_o colour_n be_v movable_a of_o which_o the_o one_o go_v by_o the_o true_a equinoctial_a that_o be_v by_o the_o section_n of_o the_o sun_n way_n and_o equatour_n and_o by_o the_o pole_n of_o the_o world_n and_o the_o other_o of_o the_o solstice_n pass_v by_o the_o sun_n great_a declination_n these_o hitherto_o write_v may_v more_o plain_a appear_v by_o this_o demonstration_n here_o follow_v in_o this_o figure_n be_v the_o circle_n and_o part_n of_o the_o circle_n note_v with_o their_o name_n in_o which_o the_o letter_n f._n express_v the_o true_a and_o movable_a equinoctial_a the_o letter_n e._n be_v a_o note_n of_o the_o fix_a equinoctial_a the_o letter_n d._n point_v out_o the_o head_n of_o aries_n of_o the_o eight_o sphere_n the_o letter_n c._n the_o centre_n of_o the_o eight_o sphere_n the_o letter_n a._n of_o the_o nine_o and_o ten_o sphere_n the_o letter_n k._n n._n represent_v the_o sun_n great_a declination_n true_o the_o letter_n r._n m._n the_o sun_n middle_a declination_n great_a how_o much_o the_o equinoctial_o be_v distant_a one_o from_o another_o the_o former_a large_a instruction_n of_o the_o equinoctial_o may_v easy_o show_v at_o any_o time_n unto_o which_o a_o man_n must_v always_o resort_v the_o sun_n great_a declination_n be_v the_o ark_n of_o the_o colour_n of_o the_o solstice_n contain_v between_o the_o equatoure_n and_o either_o tropic_n this_o of_o sundry_a practisioner_n be_v diverse_o note_v for_o ptolemy_n find_v the_o same_o in_o his_o time_n to_o be_v of_o 23._o degree_n 51._o minute_n and_o 20._o second_n of_o which_o the_o whole_a circle_n be_v note_v to_o be_v 360._o degree_n but_o after_o alnieon_n of_o 23._o degree_n and_o 33._o minute_n but_o the_o late_a practisioner_n have_v find_v the_o same_o to_o be_v 23._o degree_n and_o 30._o minute_n purbachius_n have_v find_v the_o same_o to_o be_v of_o 23._o and_o 21._o minute_n which_o variation_n of_o the_o sun_n great_a declination_n be_v through_o the_o come_n and_o go_v of_o the_o eight_o sphere_n which_o be_v name_v the_o tremble_a motion_n but_o this_o be_v demonstrate_v and_o teach_v more_o at_o large_a in_o the_o theorick_n if_o any_o desire_n to_o observe_v the_o sun_n great_a declination_n let_v he_o take_v the_o altitude_n of_o the_o sun_n about_o the_o winter_n solstice_n in_o the_o short_a day_n at_o noon_n which_o altitude_n be_v keep_v a_o part_n work_v the_o like_a the_o sun_n be_v about_o the_o summer_n solstice_n and_o the_o sun_n great_a altitude_n at_o noon_n find_v by_o the_o rule_n of_o the_o astrolobie_n look_v that_o in_o the_o bordure_n of_o the_o same_o and_o take_v the_o middle_n of_o that_o ark_n which_o be_v between_o the_o sun_n least_n and_o great_a elevation_n at_o noon_n which_o possess_v the_o middle_a and_o shall_v be_v the_o sun_n great_a declination_n the_o knowledge_n of_o the_o sun_n declination_n with_o the_o other_o star_n be_v very_o profitable_a in_o that_o by_o the_o same_o and_o the_o perfection_n of_o the_o elevation_n of_o the_o pole_n the_o true_a place_n of_o the_o sun_n if_o the_o same_o be_v unknown_a may_v be_v know_v the_o sun_n great_a declination_n presuppose_v after_o this_o manner_n as_o follow_v mark_n and_o consider_v diligent_o the_o sun_n be_v in_o the_o noonestead_n circle_n carry_v up_o from_o the_o horizont_n which_o find_v if_o the_o sun_n run_v in_o the_o northerly_a sign_n abate_v from_o the_o say_a elevation_n the_o complement_n of_o the_o elevation_n of_o th●_n pole_n if_o the_o sun_n be_v carry_v in_o the_o southerly_a sign_n then_o work_v contrary_a for_o that_o which_o remain_v shall_v be_v the_o sun_n particular_a declination_n as_o by_o a_o like_a example_n use_v this_o the_o sun_n be_v imagine_v to_o be_v elevate_v above_o the_o horizont_n 63._o degree_n 21._o minute_n and_o 4._o second_n the_o elevation_n of_o the_o pole_n be_v 41._o degree_n and_o 30._o minute_n and_o the_o compliment_n of_o the_o same_o altitude_n of_o the_o pole_n to_o be_v 48._o degree_n and_o 30._o minute_n with_o the_o which_o subtract_v the_o sun_n altitude_n at_o noon_n and_o the_o remaurer_n shall_v be_v the_o sun_n declination_n which_o be_v 14._o degree_n 51._o minute_n &_o 4._o second_n be_v the_o distance_n of_o the_o sun_n from_o the_o begin_n of_o aries_n abate_v for_o the_o sun_n run_v in_o the_o northerly_a sign_n at_o the_o time_n of_o the_o observation_n before_o the_o summer_n solstice_n what_o the_o office_n or_o utility_n of_o the_o colour_n be_v 1_o she_o common_a office_n in_o general_a of_o the_o colour_n be_v to_o show_v the_o four_o principal_a point_n of_o the_o zodiac_n in_o which_o through_o the_o sun_n motion_n the_o great_a change_n and_o alteration_n of_o time_n be_v cause_v 2_o they_o serve_v to_o demonstrat_fw-la the_o solstice_n and_o equinoctialle_n and_o to_o divide_v the_o zodiac_n into_o four_o equal_a part_n to_o which_o the_o four_o season_n of_o the_o year_n do_v answer_v 3._o the_o use_n of_o the_o one_o be_v to_o express_v and_o make_v manifest_a the_o point_n of_o the_o equinoctial_o and_o the_o other_o to_o show_v the_o point_n of_o the_o solstice_n 4_o they_o both_o cut_v the_o zodiac_n and_o equatour_n into_o two_o equal_a half_a circle_n and_o both_o divide_v either_o circle_n into_o four_o equal_a quarter_n 5_o but_o the_o colour_n of_o the_o solsticis_fw-la offer_v many_o other_o use_n for_o in_o the_o same_o be_v the_o sun_n great_a declination_n or_o thwartnesse_n measure_v and_o number_v in_o that_o the_o sun_n great_a declination_n be_v the_o ark_n of_o the_o colour_n of_o the_o colsticis_fw-la enclose_v between_o the_o beginning_n of_o cancer_n and_o the_o equatour_n which_o arcke_n be_v either_o increase_v or_o diminish_v according_a to_o the_o wind_a in_o and_o out_o of_o the_o ecliptic_n unto_o the_o equatour_n as_o be_v afore_o mention_v 6._o they_o serve_v to_o distinguish_v the_o equinectiall_a the_o zodiac_n and_o all_o heaven_n into_o four_o equal_a part_n the_o use_n of_o which_o matter_n shall_v appear_v in_o the_o place_n of_o the_o ascension_n of_o the_o sign_n 7_o each_o colour_n beside_o have_v his_o private_a office_n or_o utility_n as_o the_o colour_n of_o the_o solstice_n which_o have_v four_o office_n the_o first_o demonstrate_v the_o solsticiall_a point_n the_o second_o contain_v and_o measure_v the_o sun_n great_a declination_n the_o three_o that_o it_o stay_v up_o the_o pole_n of_o the_o zodiac_n and_o show_v their_o distance_n from_o the_o pole_n of_o world_n the_o four_o that_o it_o devide_v the_o zodiac_n into_o two_o half_n as_o into_o the_o ascend_a and_o descend_v also_o the_o same_o in_o the_o thwart_a sphere_n do_v separate_v the_o sign_n right_o arise_v from_o the_o sign_n thwart_o rise_v 8_o the_o colour_n of_o the_o equinoctial_o have_v twoe_o office_n the_o first_o that_o it_o demonstrate_v the_o equinoctial_a point_n the_o second_o that_o it_o devide_v the_o zodiac_n into_o two_o half_n as_o into_o the_o northerly_a and_o southerly_a half_n 9_o to_o conclude_v the_o colour_n of_o the_o solstice_n do_v often_o supply_v and_o be_v use_v in_o the_o stead_n of_o the_o meridiane_a when_o as_o in_o every_o daily_a revolution_n of_o the_o first_o mover_n it_o do_v twice_o enter_v into_o the_o place_n of_o the_o meridiane_n or_o be_v twice_o join_v in_o
be_v the_o ark_n of_o the_o meridian_n from_o the_o horizont_n unto_o the_o pole_n raise_v on_o high_a from_o the_o plain_a of_o the_o horizont_n the_o latitude_n of_o a_o place_n be_v the_o ark_n of_o the_o same_o meridian_n place_v between_o the_o equinoctial_a and_o verticiall_a point_n to_o conclude_v the_o latitude_n of_o a_o place_n and_o elevation_n of_o the_o pole_n do_v not_o differ_v in_o the_o magnitude_n or_o largeness_n but_o in_o stand_v only_o by_o the_o former_a figure_n appear_v that_o the_o ark_n of_o the_o longitude_n of_o place_n or_o city_n know_v be_v forthwith_o offer_v at_o the_o first_o sight_n as_o the_o ark_n e._n p._n or_o p._n o._n or_o o._n n._n etc._n etc._n and_o see_v the_o equatour_n be_v in_o compass_n about_o 360._o degree_n do_v whole_o ascend_v in_o 24._o hour_n above_o the_o horizont_n regular_o of_o this_o it_o come_v to_o pass_v while_o in_o each_o hour_n 15._o degree_n of_o the_o equatour_n do_v ascend_v that_o through_o the_o longitude_n of_o city_n it_o be_v easy_o know_v the_o hourly_a distance_n of_o one_o place_n unto_o a_o other_o see_v the_o sun_n come_v late_a to_o the_o meridian_n to_o they_o which_o be_v near_a to_o the_o east_n then_o to_o they_o in_o the_o west_n whereof_o if_o a_o city_n shall_v be_v situate_v in_o l._n and_o a_o other_o in_o k._n the_o ark_n l._n k._n shall_v be_v of_o 30._o degree_n then_o shall_v the_o sun_n come_v soon_o unto_o the_o easterly_a meridian_n k._n by_o two_o hour_n then_o unto_o the_o westerly_a but_o if_o one_o city_n shall_v be_v in_o p._n and_o the_o other_o in_o z._n then_o in_o latitude_n only_o shall_v they_o differ_v and_o shall_v be_v under_o one_o meridian_n which_o be_v declare_v in_o the_o last_o part_n of_o the_o description_n of_o the_o meridian_n what_o the_o office_n and_o utility_n of_o the_o meridiane_a be_v 1_o the_o utility_n and_o use_n of_o this_o circle_n be_v many_o of_o which_o the_o first_o be_v that_o it_o distinguish_v the_o day_n and_o night_n into_o unequal_a space_n it_o determine_v the_o forenoon_n time_n or_o morning_n and_o the_o after_o noon_n or_o evening_n time_n of_o the_o artificial_a day_n the_o like_a of_o the_o night_n into_o hour_n which_o be_v before_o night_n and_o those_o which_o follow_v unto_o morning_n many_o of_o the_o astronomer_n account_v their_o beginning_n of_o the_o natural_a day_n from_o this_o circle_n it_o do_v beside_o represent_v without_o the_o equin●●tiall_a the_o horizont_a of_o the_o right_a sphere_n and_o in_o every_o habitude_n of_o the_o sphere_n it_o do_v represent_v the_o right_a horizont_n and_o show_v the_o point_n of_o the_o midday_n and_o midnight_n 2_o this_o circle_n in_o the_o thwart_a sphere_n give_v and_o suprly_v the_o office_n of_o the_o right_a horizont_n for_o to_o every_o thwart_a horizont_n it_o leave_v or_o stay_v at_o right_a angle_n so_o that_o the_o astronomer_n make_v or_o account_v not_o his_o day_n from_o the_o rise_n or_o set_v of_o the_o sun_n through_o the_o thwartnesse_n of_o the_o horizont_n which_o cause_v the_o variety_n &_o notable_a difference_n of_o the_o inclination_n of_o the_o zodiac_n unto_o the_o horizont_n of_o the_o angle_n and_o largeness_n of_o the_o rise_n but_o they_o begin_v to_o account_v from_o noon_n or_o midnight_n the_o sun_n then_o occupy_v the_o meridian_n through_o the_o sun_n which_o congruence_n all_o the_o meridiane_n have_v with_o the_o right_a horizont_n and_o that_o a_o lesser_a variety_n of_o the_o inclination_n of_o the_o zodiac_n happen_v unto_o the_o meridiane_fw-la and_o angle_n which_o it_o make_v with_o the_o meridiane_n also_o in_o this_o circle_n be_v the_o zenith_n or_o direct_a point_n note_v from_o which_o the_o distance_n of_o the_o star_n and_o parallel_v circle_n be_v gather_v 4_o in_o the_o meridiane_n as_o in_o the_o subject_n the_o distance_n of_o the_o star_n from_o the_o equatoure_n the_o latitude_n of_o place_n and_o the_o elevation_n of_o the_o pole_n be_v account_v for_o the_o studious_a and_o skilful_a practisioner_n observe_v the_o latitude_n of_o place_n and_o the_o elevation_n of_o the_o pole_n not_o to_o differ_v in_o the_o quantity_n but_o in_o the_o stand_n only_o for_o the_o elevation_n of_o the_o pole_n be_v the_o ark_n of_o the_o meridiane_n from_o the_o horizont_n raise_v unto_o the_o pole_n the_o latitude_n of_o the_o place_n be_v the_o ark_n of_o the_o same_o meridian_n contain_v between_o the_o equatour_n and_o verticiall_a point_n so_o that_o it_o be_v manifest_a that_o these_o ark_n differ_v in_o the_o stand_n do_v agree_v in_o magnitude_n who_o verticiall_a point_n one_o meridiane_n contain_v but_o not_o one_o parallel_n by_o a_o equal_a space_n from_o the_o west_n be_v unequal_a distant_a from_o the_o equatour_n and_o be_v then_o say_v to_o differ_v in_o the_o latitude_n only_o contrariwise_o to_o who_o top_n one_o and_o the_o same_o parallel_n and_o not_o one_o meridian_n but_o each_o place_n proper_a those_o by_o like_a space_n from_o the_o equatour_n be_v distant_a by_o unlike_a space_n from_o the_o fortunate_a isle_n and_o be_v say_v to_o differ_v in_o the_o longitude_n only_o so_o that_o in_o both_o they_o be_v say_v to_o differ_v to_o who_o the_o parallel_n only_o serve_v and_o they_o to_o who_o the_o proper_a meridiane_n serve_v for_o they_o have_v their_o space_n unequal_a to_o either_o bind_v therefore_o the_o difference_n of_o latitude_n be_v the_o ark_n of_o the_o meridiane_n contain_v between_o the_o parallel_n of_o the_o two_o place_n distant_a from_o the_o equatour_n the_o quantity_n of_o the_o same_o be_v thus_o know_v if_o from_o the_o half_a equatour_n towards_o either_o pole_n of_o the_o place_n stand_v the_o lesser_a latitude_n of_o the_o near_o be_v abate_v from_o the_o great_a latitude_n more_o further_o off_o if_o from_o the_o half_a equatour_n the_o place_n be_v divide_v under_o that_o the_o one_o half_a lean_v into_o the_o north_n and_o the_o other_o into_o the_o south_n by_o the_o latitude_n of_o both_o join_v whether_o one_o or_o both_o lie_n under_o one_o meridian_n or_o diverse_a meridians_fw-la for_o it_o force_v not_o in_o the_o meridian_n of_o both_o that_o the_o latitude_n be_v join_v together_o see_v all_o meridians_fw-la be_v alike_o in_o the_o sphere_n the_o difference_n of_o the_o longitude_n be_v the_o ark_n of_o the_o equinoctial_a or_o parallel_n enclose_v between_o the_o meridiane_n of_o the_o twoe_o place_n distant_a from_o the_o fortunate_a isle_n and_o in_o themselves_o by_o which_o the_o longitude_n of_o one_o place_n exceed_v the_o longitude_n of_o another_o the_o same_o longitude_n be_v the_o arcke_n of_o the_o equinoctial_a see_v the_o place_n be_v under_o the_o equatour_n for_o in_o the_o only_a longitude_n the_o place_n the_o common_a parallel_n and_o top_n of_o both_o bend_a do_v differ_v in_o that_o the_o parallel_n from_o the_o equatour_n towards_o the_o opposite_a quarter_n of_o the_o equal_a parallel_n as_o place_n to_o which_o they_o be_v right_o over_o do_v likewise_o differ_v the_o meridians_fw-la as_o be_v afore_o declare_v be_v the_o great_a circle_n of_o the_o sphere_n of_o the_o world_n bend_a by_o the_o verticiall_a point_n of_o all_o place_n but_o draw_v to_o the_o equatoure_n as_o by_o the_o pole_n of_o which_o they_o pass_v unto_o right_a angle_n and_o by_o a_o mutual_a consent_n make_v angle_n in_o the_o pole_n of_o the_o world_n which_o the_o ark_n of_o the_o equatour_n be_v place_v between_o those_o meridians_fw-la be_v measure_v that_o by_o so_o much_o as_o a_o quarter_n of_o the_o circle_n they_o be_v distant_a from_o they_o even_o so_o the_o equatoure_n from_o his_o pole_n be_v on_o either_o part_n distant_a by_o a_o quarter_n of_o the_o great_a circle_n those_o ark_n do_v contain_v the_o difference_n of_o longitude_n by_o which_o one_o of_o the_o meridiane_n be_v further_a distant_a into_o the_o east_n than_o the_o other_o so_o that_o the_o angle_n unto_o the_o pole_n between_o the_o meridiane_n be_v right_o name_v the_o angle_n of_o the_o difference_n of_o longitude_n and_o by_o the_o ark_n of_o the_o equatour_n those_o also_o come_v into_o knowledge_n for_o there_o be_v a_o mutual_a relation_n between_o the_o angle_n and_o arke_v each_o one_o of_o they_o towards_o another_o which_o do_v measure_v the_o angle_n the_o latitude_n of_o place_n be_v the_o distance_n of_o the_o verticiall_a point_n from_o the_o equatour_n gather_v in_o the_o meridian_n if_o then_o from_o the_o whole_a quarter_n of_o the_o meridians_fw-la which_o to_o the_o equatoure_n and_o pole_n of_o the_o world_n towards_o which_o the_o place_n decline_v the_o equal_a arke_n be_v stretch_v to_o the_o latitude_n than_o the_o seat_n of_o the_o place_n give_v or_o the_o verticiall_a point_n of_o they_o shall_v be_v find_v and_o the_o other_o ark_n from_o these_o point_n unto_o the_o pole_n
which_o by_o a_o mutual_a section_n do_v make_v a_o angle_n the_o compliment_n of_o the_o latitude_n be_v know_v by_o the_o degree_n abate_v from_o 90._o in_o the_o degree_n of_o the_o latitude_n further_o by_o the_o sun_n meridian_n have_v and_o find_v you_o may_v easy_o conceive_v the_o elevation_n of_o the_o pole_n and_o habitude_n of_o the_o sphere_n for_o the_o whole_a quarter_n be_v of_o 90._o degree_n see_v the_o sun_n meridian_n altitude_n in_o the_o equinoctial_a must_v be_v subtract_v from_o 90._o degree_n the_o rest_n show_v the_o elevation_n of_o the_o pole_n as_o for_o example_n the_o sun_n meridian_n altitude_n of_o viteberge_n in_o germany_n in_o the_o time_n of_o the_o equinoctial_a be_v of_o 38._o degree_n and_o 10._o minute_n the_o rest_n of_o the_o degree_n of_o the_o quarter_n shall_v appear_v to_o be_v 51._o degree_n and_o 50._o minute_n which_o elevation_n of_o the_o pole_n near_o agree_v to_o london_n so_o that_o by_o so_o many_o degree_n be_v the_o pole_n there_o elevate_v above_o the_o horizont_n and_o as_o the_o quadrant_a be_v from_o the_o pole_n unto_o the_o equinoctial_a even_o so_o be_v the_o quadrant_a from_o the_o zenith_n unto_o the_o horizont_n if_o therefore_o in_o the_o time_n of_o the_o equinoctial_a the_o distance_n of_o the_o horizont_n unto_o the_o sun_n altitude_n be_v of_o 38._o degree_n and_o 10._o minute_n which_o be_v not_o the_o half_a part_n of_o the_o quarter_n the_o same_o yet_o be_v subtract_v from_o the_o whole_a quarter_n do_v show_v that_o the_o rest_n shall_v be_v more_o than_o half_a part_n of_o the_o quarter_n that_o be_v 51._o degree_n and_o 51._o minute_n for_o those_o space_n which_o be_v from_o the_o pole_n unto_o the_o equinoctial_a and_o from_o the_o zenith_n unto_o the_o horizont_n be_v alike_o what_o the_o distance_n of_o the_o zenith_n be_v from_o the_o equinoctial_a the_o same_o likewise_o be_v the_o horizont_n unto_o the_o pole_n that_o be_v the_o latitude_n of_o the_o place_n be_v equal_a to_o the_o elevation_n of_o the_o pole_n to_o declare_v that_o the_o latitude_n of_o a_o place_n be_v equal_a to_o the_o elevation_n of_o the_o pole_n these_o four_o proposition_n be_v to_o be_v conceive_v first_o the_o quarter_n of_o one_o and_o the_o same_o circle_n any_o where_o take_v be_v equal_a one_o to_o the_o other_o second_o the_o pole_n by_o the_o quarter_n that_o be_v 90._o degree_n be_v distant_a from_o their_o circle_n three_o the_o zenith_n be_v the_o pole_n of_o the_o horizont_n four_o and_o last_o the_o equal_v abate_v from_o the_o equal_v the_o equal_n still_o remain_v so_o that_o two_o quarter_n of_o the_o meridian_n take_v as_o that_o which_o be_v from_o the_o equinoctial_a unto_o the_o pole_n and_o that_o which_o be_v from_o the_o zenith_n unto_o the_o horizont_a which_o see_v they_o be_v quarter_n of_o one_o and_o the_o same_o circle_n therefore_o be_v they_o likewise_o equal_v one_o to_o the_o other_o that_o be_v either_o contain_v 90._o degree_n when_o from_o these_o two_o quarter_n the_o common_a ark_n be_v abate_v which_o be_v between_o the_o zenith_n and_o pole_n of_o the_o world_n and_o the_o rest_n of_o the_o equal_n remain_v as_o the_o ark_n which_o be_v from_o the_o equinoctial_a unto_o the_o zenith_n and_o call_v the_o latitude_n of_o the_o place_n and_o the_o ark_n which_o be_v from_o the_o pole_n of_o the_o world_n unto_o the_o horizont_a also_o call_v the_o elevation_n of_o the_o pole_n as_o may_v be_v understand_v of_o the_o former_a viteberge_n that_o be_v of_o 51._o degree_n and_o 50._o minute_n yet_o that_o you_o may_v easy_o find_v and_o know_v the_o elevation_n of_o the_o pole_n of_o your_o city_n or_o town_n you_o must_v first_o obtain_v and_o have_v the_o sun_n meridian_n altitude_n which_o workmanly_o may_v be_v have_v and_o observe_v by_o the_o shadow_n as_o when_o the_o sun_n altitude_n in_o the_o time_n of_o the_o equinoctial_a be_v precise_o of_o 45._o degree_n the_o shadow_n than_o be_v like_a to_o the_o gnomone_n which_o be_v at_o venice_n as_o pliny_n write_v also_o of_o milan_n and_o lion_n for_o the_o sun_n to_o they_o be_v in_o the_o time_n of_o the_o equinoctial_a in_o the_o middle_n of_o the_o quarter_n but_o when_o the_o sun_n altitude_n exceed_v 45._o degree_n then_o be_v the_o shadow_n cause_v lesser_a as_o of_o rome_n where_o the_o sun_n meridian_n altitude_n in_o the_o equinoctial_a be_v of_o 42._o degree_n and_o 10._o minute_n so_o that_o the_o shadow_n be_v there_o short_a also_o pliny_n write_v of_o rome_n that_o the_o nine_o part_n of_o the_o gnomon_n in_o the_o equinoctial_a do_v lack_n of_o the_o noon_n shadow_n but_o when_o the_o sun_n altitude_n be_v lesser_a than_o 45._o degree_n the_o shadow_n of_o the_o gnomon_n be_v cause_v long_o the_o like_a be_v with_o we_o through_o all_o winter_n and_o the_o time_n of_o the_o equinoctial_a for_o we_o see_v the_o shadow_n of_o man_n body_n to_o be_v long_o for_o that_o the_o sun_n altitude_n in_o that_o time_n be_v never_o 45._o degree_n for_o how_o much_o the_o shadow_n be_v long_o than_o the_o half_a part_n of_o the_o quarter_n so_o much_o the_o lesser_a be_v the_o sun_n altitude_n then_o 45._o degree_n as_o of_o viteberge_n in_o the_o 10._o day_n of_o september_n the_o sun_n meridian_n altitude_n be_v then_o of_o 39_o degree_n and_o 21._o minute_n but_o when_o the_o sun_n be_v further_a distant_a by_o the_o 45_o degree_n of_o the_o quarter_n or_o by_o the_o half_a of_o the_o quarter_n then_o ensue_v that_o the_o shadow_n be_v so_o much_o long_a than_o the_o gnomon_n or_o 45_o degree_n for_o the_o noon_n shadow_n in_o the_o 10._o day_n of_o september_n be_v the_o like_a unto_o the_o gnomon_n as_o the_o 50._o degree_n and_o 39_o minute_n be_v unto_o 45._o degree_n here_o you_o see_v how_o by_o the_o meridian_n shadow_n you_o may_v find_v the_o sun_n altitude_n which_o obtain_v you_o shall_v easy_o find_v the_o altitude_n or_o elevation_n of_o the_o pole_n especial_o in_o the_o time_n of_o the_o equinoctial_a for_o the_o sun_n altitude_n then_o from_o the_o whole_a quarter_n that_o be_v from_o 90._o degree_n must_v be_v subtract_v and_o the_o elevation_n of_o the_o pole_n shall_v remain_v and_o appear_v to_o be_v as_o be_v above_o teach_v see_v it_o be_v somewhat_o hard_a to_o find_v the_o height_n of_o the_o pole_n unto_o any_o day_n prescribe_v &_o that_o the_o same_o may_v more_o easy_o and_o sure_a be_v attain_v and_o find_v you_o shall_v use_v this_o table_n here_o follow_v by_o the_o help_n of_o which_o you_o may_v without_o great_a labour_n find_v and_o know_v the_o elevation_n of_o the_o pole_n for_o to_o proceed_v and_o work_v by_o this_o manner_n seek_v first_o the_o sun_n meridian_n altitude_n at_o the_o day_n offer_v either_o by_o a_o astrolaby_n or_o quadrant_a but_o rather_o by_o the_o instrument_n name_v the_o quadrant_a in_o who_o bordure_n be_v 90._o degree_n drown_v or_o write_v express_v by_o reason_n of_o the_o gnomon_n and_o shadow_n upwarde_o after_o seek_v the_o degree_n of_o the_o ecclipticke_a by_o the_o ephemerides_n which_o the_o sun_n obtain_v at_o noon_n of_o the_o day_n offer_v next_o by_o the_o table_n follow_v take_v the_o declination_n of_o the_o degree_n find_v by_o mean_a of_o the_o equinoctial_a if_o the_o sun_n than_o shall_v be_v in_o northerly_a sign_n abate_v or_o subtract_v from_o the_o sun_n altitude_n afore_o find_v but_o if_o in_o southerly_a sign_n then_o add_v unto_o the_o sun_n altitude_n the_o produce_v or_o rest_n be_v the_o elevation_n of_o the_o equinoctial_a which_o abstract_v or_o abate_v from_o the_o whole_a quarter_n that_o be_v from_o 90._o degree_n leave_v &_o show_v the_o elevation_n of_o the_o pole_n as_o in_o the_o 10._o day_n of_o september_n the_o sun_n altitude_n in_o the_o twelve_o hour_n or_o at_o noon_n be_v of_o 39_o degree_n and_o 21._o minute_n to_o find_v this_o elevation_n of_o the_o pole_n i_o enter_v the_o table_n follow_v where_o i_o find_v and_o see_v the_o 27._o degree_n of_o virgo_fw-la to_o have_v the_o declination_n of_o one_o degree_n and_o 11._o minute_n which_o degree_n and_o minute_n see_v they_o be_v in_o the_o northerly_a part_n of_o the_o world_n be_v to_o be_v subtract_v from_o the_o sun_n altitude_n that_o day_n and_o the_o degree_n which_o remain_v be_v 38._o and_o 10._o minute_n the_o altitude_n of_o the_o equinoctial_a that_o day_n which_o subtract_v or_o abate_v from_o the_o whole_a quarter_n that_o be_v from_o 90._o degree_n the_o elevation_n of_o the_o pole_n which_o remain_v be_v 51._o degree_n and_o 50._o minute_n this_o table_n of_o the_o sun_n declination_n contain_v the_o number_n of_o the_o degree_n of_o the_o zodiac_n increase_v in_o descend_v on_o the_o left_a hand_n and_o increase_v by_o ascend_v on_o the_o right_a
horizon_n that_o the_o sun_n in_o the_o equatoure_n place_v by_o rise_v and_o set_v pass_v do_v part_n and_o divide_v either_o half_a circle_n into_o equal_a quarter_n and_o with_o these_o point_n do_v the_o pole_n of_o the_o meridian_n join_v and_o either_o quarter_n do_v the_o other_o two_o as_o the_o rise_n and_o set_v divide_v into_o two_o unequal_a ark_n for_o of_o the_o twoe_o northerly_a quarter_n the_o same_o which_o tend_v and_o look_v unto_o the_o east_n be_v the_o solsticial_a rise_n and_o the_o other_o the_o solsticiall_a set_n but_o of_o the_o twoe_o southerly_a the_o easterly_a do_v the_o winter_n rise_v divide_v and_o the_o westerly_a do_v the_o winter_n set_v part_n but_o by_o what_o space_n these_o rise_n and_o setting_n may_v differ_v and_o be_v distant_a from_o the_o former_a middle_n in_o every_o horizon_n and_o in_o the_o largeness_n of_o rise_v do_v ptolemy_n instruct_v in_o that_o elevation_n of_o 40._o degree_n and_o fifteen_o scruple_n of_o the_o shadow_n which_o the_o sun_n arise_v and_o set_v in_o these_o point_n of_o the_o horizon_n cause_v be_v worthy_a to_o be_v consider_v and_o note_v in_o that_o the_o equinoctial_a shadow_n which_o through_o the_o sun_n rise_v and_o set_v in_o the_o equinoctial_a point_n be_v cause_v do_v fall_v and_o extend_v in_o straight_a manner_n but_o the_o other_o shadow_n not_o in_o the_o same_o condition_n or_o not_o in_o straight_a line_n do_v fall_v but_o that_o the_o solsticiall_a shadow_n in_o the_o rise_n with_o the_o winter_n shadow_n in_o the_o set_n and_o contrariwise_o the_o winter_n shadow_n in_o the_o rise_n with_o the_o solsticiall_a in_o the_o set_n do_v form_n and_o make_v right_a shadow_n the_o office_n or_o utility_n of_o the_o horizon_n 1_o this_o circle_n like_a as_o all_o the_o other_o so_o that_o nothing_o in_o heaven_n be_v frivolous_a and_o of_o a_o vain_a imagination_n have_v many_o utility_n first_o it_o devide_v the_o whole_a heaven_n into_o two_o equal_a half_a sphere_n 2_o it_o declare_v which_o star_n be_v of_o continual_a appearance_n and_o which_o continual_o hide_v under_o the_o horizon_n which_o do_v set_v and_o which_o do_v arise_v above_o the_o horizon_n so_o that_o it_o appear_v that_o the_o star_n consist_v in_o a_o triple_a defference_n as_o that_o certain_a do_v arise_v and_o set_v certain_a never_o appear_v above_o the_o horizone_n and_o certain_a continue_v and_o be_v always_o above_o the_o horizon_n 3_o the_o horizon_n therefore_o be_v cause_v of_o the_o habitude_n as_o well_o of_o the_o right_n as_o the_o thwart_a sphere_n 4_o the_o rising_z and_o set_v of_o the_o star_n be_v apply_v unto_o the_o horizon_n by_o which_o setting_n and_o rise_n the_o description_n of_o time_n be_v change_v and_o it_o also_o declare_v the_o degree_n of_o the_o zodiac_n with_o the_o which_o each_o star_n rise_v and_o set_v 5_o the_o horizone_n show_v the_o rise_n and_o set_v of_o the_o sign_n of_o the_o zodiac_n the_o exaltation_n or_o elevation_n of_o the_o pole_n and_o the_o equatoure_n the_o latitude_n of_o place_n to_o the_o largeness_n of_o rise_v which_o be_v the_o ark_n of_o the_o horizon_n to_o the_o star_n or_o point_n of_o the_o ecclipticke_a and_o equatour_n arise_v together_o include_v with_o the_o beginning_n of_o the_o twelve_o house_n of_o heaven_n 6_o by_o the_o office_n of_o the_o horizone_n at_o any_o time_n we_o may_v learn_v and_o know_v the_o quantity_n of_o the_o artificial_a day_n and_o night_n and_o likewise_o procure_v or_o show_v the_o just_a cause_n of_o the_o inequality_n of_o the_o artificial_a day_n it_o do_v also_o declare_v the_o rise_n and_o set_v of_o the_o sun_n for_o as_o the_o horizon_n according_a to_o the_o elevation_n or_o depression_n of_o the_o pole_n be_v vary_v even_o so_o be_v the_o verticiall_a day_n in_o themselves_o cause_v unequal_a yea_o in_o those_o point_n of_o the_o zodiac_n 7_o by_o the_o benefit_n of_o the_o horizon_n the_o sun_n shine_v we_o attain_v and_o come_v each_o day_n unto_o the_o knowledge_n of_o the_o unequal_a hour_n of_o the_o day_n 8_o it_o show_v to_o we_o the_o elongation_n of_o the_o star_n from_o the_o rise_n and_o set_v which_o the_o astronomer_n call_v the_o largeness_n of_o the_o rise_n and_o set_v or_o the_o zenith_n of_o the_o rise_n and_o set_v 9_o by_o this_o circle_n we_o learn_v how_o much_o the_o rise_n aswell_o of_o the_o star_n as_o the_o other_o point_n of_o heaven_n be_v distant_a from_o the_o true_a and_o the_o equinoctial_a rise_n that_o be_v in_o the_o same_o be_v the_o latitude_n of_o the_o star_n account_v from_o the_o equinoctial_a and_o also_o their_o rise_n and_o setting_n 10_o it_o manife_v the_o degree_n of_o the_o zodiac_n with_o the_o which_o the_o purpose_a star_n rise_v and_o set_v 11_o it_o iudicate_v the_o star_n or_o the_o celestial_a image_n that_o be_v continual_o in_o sight_n or_o always_o hide_v 12_o it_o make_v manifest_v the_o rise_n and_o setting_n of_o the_o sign_n of_o the_o zodiac_n it_o do_v likewise_o make_v distinction_n between_o the_o sun_n and_o moon_n eclipse_n see_v as_o well_o above_o the_o horizon_n as_o not_o in_o sight_n 13_o it_o help_v and_o further_v much_o unto_o the_o find_n of_o the_o latitude_n of_o a_o purpose_a place_n whereof_o through_o the_o benefit_n of_o this_o circle_n and_o the_o meridian_n may_v the_o distance_n of_o place_n be_v certain_o find_v of_o the_o vertical_a circle_n beside_o the_o former_a circle_n at_o large_a mention_v be_v there_o other_o circle_n which_o shall_v here_o be_v utter_v and_o teach_v as_o in_o a_o apt_a place_n agree_v to_o that_o aforesaid_a which_o be●_n these_o the_o vertical_a circle_n the_o circle_n of_o the_o position_n and_o of_o the_o 12._o house_n of_o these_o in_o order_n shall_v here_o be_v write_v as_o the_o necessary_a matter_n offer_v see_v a_o special_a part_n of_o astronomy_n depend_v of_o they_o and_o the_o whole_a composition_n of_o the_o celestial_a instrument_n seem_v likewise_o one_o of_o they_o first_o the_o vertical_o be_v circle_n which_o from_o the_o top_n of_o any_o place_n give_v be_v draw_v unto_o each_o part_n of_o the_o horizon_n and_o divide_v the_o upper_a half_a sphere_n in_o sight_n into_o so_o many_o part_n as_o the_o horizone_n be_v divide_v and_o all_o concur_v and_o meet_v above_o in_o each_o vertical_a point_n or_o pole_n of_o the_o horizon_n to_o the_o number_n of_o these_o be_v the_o meridian_n adjoin_v these_o circle_n be_v likewise_o understand_v and_o note_v immovable_a as_o the_o meridian_n and_o horizone_n that_o be_v they_o be_v not_o draw_v about_o with_o the_o first_o mover_n as_o the_o zodiac_n the_o equatoure_n the_o colour_n and_o the_o other_o circle_n infix_v to_o the_o first_o mover_n the_o circle_n of_o the_o altitude_n the_o circle_n of_o the_o altitude_n be●_n those_o which_o be_v equidistant_o describe_v about_o the_o top_n of_o place_n as_o the_o vertical_a circle_n do_v divide_v each_o of_o these_o circle_n into_o 360._o degree_n even_o so_o do_v these_o divide_v a_o quarter_n of_o each_o vertical_a circle_n into_o 90._o degree_n so_o that_o none_o of_o the_o altitude_n circle_n be_v great_a than_o the_o horizone_n nor_o lesser_a than_o that_o which_o be_v imagine_v and_o understand_v to_o be_v describe_v about_o the_o verticiall_a point_n the_o especial_a office_n of_o these_o circle_n be_v that_o aswell_o the_o altitude_n of_o the_o fix_a star_n as_o the_o planet_n may_v be_v measure_v and_o know_v as_o the_o fix_a star_n above_o the_o horizone_n by_o which_o altitude_n or_o elevation_n the_o time_n that_o be_v the_o hour_n be_v know_v and_o the_o place_n of_o the_o star_n as_o may_v appear_v in_o table_n make_v for_o that_o only_a purpose_n see_v then_o it_o can_v be_v and_o that_o through_o the_o roundness_n of_o heaven_n but_o that_o any_o star_n give_v or_o suppose_v unto_o the_o motion_n of_o the_o whole_a be_v imagine_v by_o his_o altitude_n to_o be_v distinguish_v in_o some_o parallel_n therefore_o be_v the_o altitude_n of_o the_o star_n or_o of_o any_o other_o celestial_a point_n the_o ark_n of_o the_o verticiall_a circle_n draw_v by_o the_o centre_n of_o the_o star_n contain_v between_o the_o horizon_n and_o the_o star_n give_v which_o as_o afore_o write_v be_v distinguish_v of_o the_o say_a parallel_n the_o meeting_n and_o join_v together_o of_o these_o circle_n with_o the_o vertical_o be_v not_o move_v but_o at_o the_o motion_n of_o the_o vertical_a point_n which_o be_v none_o other_o than_o the_o pole_n of_o the_o horizon_n from_o which_o all_o the_o parallel_n of_o the_o altitude_n be_v imagine_v to_o be_v describe_v by_o equal_a distance_n but_o this_o in_o my_o opinion_n be_v not_o to_o be_v overpass_o that_o be_v that_o any_o star_n when_o it_o shall_v be_v equal_o distant_a from_o the_o
the_o day_n in_o the_o right_a sphere_n and_o of_o the_o unequalnesse_n in_o the_o thwart_a or_o bow_v sphere_n and_o where_o the_o day_n space_n be_v increase_v and_o lengthen_v there_o the_o night_n space_n be_v lessen_v and_o decrease_v and_o be_v otherwise_o they_o show_v the_o contrary_n in_o the_o second_o the_o parallel_n which_o the_o verticial_a point_n form_n when_o they_o express_v the_o bound_n of_o the_o latitude_n of_o place_n then_o be_v they_o stand_v under_o by_o which_o their_o longitude_n or_o distance_n from_o the_o west_n be_v account_v in_o the_o three_o the_o parallel_n which_o either_o the_o planet_n or_o the_o fix_a star_n describe_v refer_v unto_o the_o equatour_n do_v express_v the_o bound_n of_o their_o drawing_n or_o motion_n from_o the_o equatour_n the_o other_o or_o rest_n which_o apply_v unto_o the_o ecclipticke_a describe_v do_v show_v the_o bound_n of_o the_o latitude_n and_o that_o for_o how_o long_a time_n they_o tarry_v above_o the_o earth_n or_o otherwise_o hide_v within_o the_o earth_n and_o under_o the_o horizone_n do_v either_o show_n in_o the_o four_o the_o great_a and_o chief_a utility_n of_o the_o parallel_n be_v that_o which_o on_o the_o habitable_a earth_n the_o practisioner_n sever_v by_o such_o distance_n as_o by_o how_o much_o y_fw-mi e_fw-es great_a artificial_a day_n be_v by_o a_o quarter_n of_o a_o hour_n long_o increase_v and_o extend_v for_o they_o distinguish_v the_o habitable_a earth_n and_o that_o by_o observation_n into_o certain_a necessary_a space_n and_o do_v iudicate_v the_o regular_a increasing_n of_o the_o day_n and_o what_o be_v common_a to_o each_o dwell_n under_o those_o parallel_n in_o much_o as_o the_o quantity_n the_o increasing_n and_o deminishing_n of_o the_o day_n and_o night_n the_o rise_n and_o setting_n of_o the_o star_n the_o noonstéede_o shadow_n and_o the_o nature_n of_o the_o winter_n and_o summer_n but_o those_o which_o be_v contrary_a as_o that_o there_o be_v a_o difference_n &_o diversity_n of_o the_o dwell_a place_n be_v under_o diverse_a parallel_n they_o indeed_o be_v necessary_a unto_o the_o distribution_n and_o description_n of_o the_o climate_n although_o the_o number_n of_o these_o circle_n be_v so_o infinite_a as_o be_v the_o infinite_a variety_n of_o the_o star_n and_o vertical_a point_n yet_o be_v there_o four_o usual_o rehearse_v in_o these_o element_n or_o introduction_n that_o be_v especial_o note_v and_o describe_v by_o peculiar_a name_n and_o for_o the_o same_o cause_n as_o seem_v to_o i_o in_o that_o they_o divide_v the_o whole_a globe_n of_o heaven_n and_o earth_n into_o five_o zone_n and_o these_o apply_v unto_o the_o plain_a or_o flat_a of_o the_o equatour_n the_o tropic_n of_o cancer_n or_o summer_n tropic_n the_o tropic_n of_o capricorn_n or_o winter_n tropic_n the_o arctic_a or_o northerly_a pole_n the_o antarctic_a or_o southerly_a pole_n which_o circle_n be_v call_v the_o tropicke_n the_o sun_n according_a to_o the_o former_a word_n through_o the_o motion_n of_o the_o first_o mover_n be_v in_o 24_o hour_n draw_v once_o about_o and_o for_o that_o he_o be_v carry_v in_o the_o thwart_a circle_n and_o in_o the_o same_o by_o his_o proper_a motion_n change_v daily_o unto_o other_o place_n of_o the_o zodiac_n it_o must_v needs_o ensue_v that_o he_o describe_v in_o each_o day_n a_o new_a parallel_n and_o those_o do_v the_o sun_n repeat_v in_o the_o part_n of_o the_o zodiac_n which_o be_v equidistant_a from_o the_o solsticiall_a point_n in_o such_o wise_a that_o they_o be_v in_o the_o whole_a 182._o circle_n and_o these_o do_v they_o call_v the_o circle_n of_o the_o natural_a day_n of_o which_o the_o uttermost_a and_o further_a that_o include_v the_o sun_n way_n be_v name_v the_o tropic_n which_o be_v in_o english_a the_o sun_n bound_n in_o that_o the_o sun_n never_o pass_v they_o neither_o towards_o the_o north_n nor_o towards_o the_o south_n but_o after_o his_o touch_v of_o each_o he_o return_v again_o the_o one_o of_o these_o call_v the_o tropic_n of_o cancer_n and_o the_o other_o the_o tropic_n of_o capricorn_n why_o these_o be_v call_v the_o tropicke_n they_o be_v name_v the_o tropic_n of_o the_o greek_a word_n tropikoi_fw-fr which_o be_v in_o english_a the_o turn_n again_o in_o that_o when_o the_o sun_n be_v digress_v from_o the_o equatoure_n and_o come_v unto_o those_o he_o turn_v back_o again_o also_o the_o tropic_n circle_n touch_v the_o zodiac_n at_o the_o beginning_n of_o cancer_n and_o capricorn_n of_o which_o the_o one_o be_v call_v the_o tropic_n of_o cancer_n and_o the_o other_o of_o capricorn_n the_o one_o be_v northerly_a and_o the_o other_o southerly_a and_o as_o to_o our_o dwell_n the_o one_o be_v call_v the_o summer_n circle_n and_o the_o other_o the_o winter_n so_o that_o when_o the_o sun_n touch_v any_o of_o these_o he_o turn_v again_o and_o be_v carry_v towards_o the_o other_o as_o by_o this_o example_n further_o appear_v where_o all_o that_o season_n and_o time_n from_o the_o twelve_o day_n of_o december_n unto_o the_o eleven_o day_n of_o june_n a_o man_n may_v perceive_v the_o sun_n every_o day_n arise_v high_a and_o high_o and_o when_o he_o be_v at_o the_o high_a over_o our_o head_n that_o day_n do_v he_o by_o his_o course_n describe_v the_o summer_n tropic_n from_o which_o again_o turn_v the_o sun_n every_o day_n after_o draw_v low_a and_o low_a from_o our_o vertical_a point_n until_o he_o be_v come_v again_o unto_o the_o low_a in_o which_o twelve_o day_n of_o december_n not_o go_v any_o further_a towards_o the_o south_n but_o be_v come_v unto_o the_o begin_n of_o capricorn_n he_o describe_v the_o winter_n tropic_n the_o tropic_n of_o cancer_n be_v a_o lesser_a circle_n which_o the_o sun_n describe_v at_o the_o enter_v into_o the_o beginning_n thereof_o and_o be_v draw_v by_o the_o daily_a motion_n who_o plain_a or_o flat_o pass_v not_o by_o the_o centre_n of_o the_o earth_n and_o it_o be_v one_o of_o the_o natural_a circle_n which_o be_v outermost_a describe_v of_o the_o sun_n towards_o the_o north_n and_o draw_v by_o the_o begin_n of_o cancer_n and_o it_o have_v also_o his_o name_n of_o the_o stand_n in_o that_o the_o same_o be_v the_o bind_v of_o the_o sun_n journey_n or_o course_n towards_o the_o north_n and_o the_o nigh_a come_v unto_o we_o unto_o which_o be_v bring_v he_o turn_v back_o and_o direct_v his_o course_n into_o the_o south_n of_o which_o that_o place_n be_v call_v trope_n it_o be_v continual_o distant_a from_o the_o equatour_n by_o the_o quantity_n of_o the_o sun_n great_a declination_n which_o at_o this_o day_n be_v of_o 23._o degree_n 28._o minute_n and_o two_o fift_n almost_o and_o it_o enclose_v also_o the_o sun_n way_n and_o do_v beside_o with_o the_o other_o 3._o parallel_n divide_v the_o zone_n of_o heaven_n and_o earth_n further_o this_o be_v name_v the_o circle_n of_o the_o summer_n solstice_n by_o the_o same_o reason_n in_o that_o it_o be_v draw_v by_o the_o point_n of_o the_o summer_n solstice_n and_o the_o northerly_a tropic_n in_o that_o it_o be_v the_o northerly_a part_n of_o the_o world_n and_o the_o summer_n circle_n for_o that_o the_o sun_n in_o the_o summer_n fall_v into_o this_o circle_n also_o this_o circle_n in_o all_o the_o northerly_a tract_n be_v on_o this_o wise_a that_o the_o great_a part_n or_o portion_n be_v above_o the_o horizone_n and_o the_o lesser_a part_n as_o to_o we_o under_o the_o horizon_n so_o that_o the_o sun_n run_v in_o that_o circle_n cause_v the_o long_a day_n of_o summer_n and_o while_o the_o sun_n describe_v these_o circle_n the_o day_n be_v long_o than_o the_o night_n for_o the_o long_a day_n increase_v from_o minute_n to_o minute_n from_o hour_n to_o hour_n and_o from_o the_o latitude_n of_o one_o degree_n unto_o the_o latitude_n of_o 66._o degree_n and_o 30._o minute_n in_o which_o the_o day_n artificial_a be_v of_o 24._o hour_n and_o be_v thereof_o call_v a_o whole_a day_n for_o in_o the_o latitude_n follow_v and_o beyond_o he_o increase_v into_o many_o whole_a day_n a_o like_a definition_n have_v proelus_fw-la where_o he_o write_v that_o the_o summer_n tropic_n be_v the_o further_a circle_n northward_o that_o the_o sun_n describe_v into_o which_o when_o the_o sun_n be_v come_v he_o than_o make_v his_o summer_n turn_v and_o cause_v also_o at_o that_o time_n the_o long_a day_n and_o short_a night_n of_o the_o year_n from_o which_o turn_v back_o he_o go_v again_o towards_o the_o contrary_a coast_n of_o the_o world_n so_o that_o of_o the_o same_o proclus_n it_o be_v call_v a_o tropic_n which_o be_v in_o english_a a_o return_a circle_n for_o it_o be_v evident_a to_o all_o man_n that_o after_o the_o sun_n begin_v to_o turn_v he_o may_v in_o short_a time_n after_o or_o at_o the_o least_o within_o 5._o day_n
the_o hollow_a upper_a face_n of_o the_o moon_n orb_n that_o reach_v unto_o the_o hollow_a upper_a face_n of_o the_o high_a heaven_n be_v most_o pure_a perfitte_a round_n continual_o carry_v about_o and_o bright_a appear_v this_o part_n of_o the_o world_n be_v the_o etherial_a region_n be_v name_v heaven_n which_o always_o draw_v about_o by_o a_o marvelous_a swiftness_n be_v divide_v into_o nine_o orb_n or_o sphere_n although_o sundry_a astronomer_n as_o alphonsus_n johannes_n de_fw-fr monte_fw-fr regio_fw-la purbachius_n and_o other_o have_v add_v a_o ten_o sphere_n through_o the_o three_o contrary_a motion_n find_v in_o the_o eight_o sphere_n name_v of_o thebit_n benchore_n the_o first_o inventor_n of_o the_o same_o motus_fw-la trepidationis_fw-la or_o the_o go_n and_o come_v of_o the_o eight_o sphere_n the_o first_o and_o uppermost_a orb_n be_v name_v the_o first_o mover_n the_o second_o be_v that_o which_o be_v name_v the_o nine_o sphere_n or_o crystalline_a heaven_n but_o of_o ptholomy_n name_v the_o firmament_n or_o orb_n of_o the_o fix_a star_n and_o the_o third_o be_v that_o which_o of_o they_o name_v the_o eight_o sphere_n only_o add_v through_o that_o motion_n of_o the_o tremble_a or_o as_o it_o be_v a_o move_a forth_o and_o return_v of_o that_o eight_o sphere_n which_o proper_o be_v cause_v in_o the_o two_o small_a circle_n about_o the_o head_n or_o beginning_n of_o aries_n and_o libra_n through_o which_o diverse_a motion_n of_o the_o eight_o sphere_n do_v the_o equinoctial_o and_o solstice_n come_v and_o begin_v soon_o by_o certain_a day_n and_o the_o sun_n great_a declination_n deminish_v and_o daily_o do_v to_o that_o in_o ptolemy_n and_o hipparcus_n time_n which_o then_o be_v 23._o degree_n and_o 52._o minute_n and_o 30._o second_n and_o for_o these_o have_v alphonsus_n and_o sundry_a other_o attribute_v diverse_a motion_n to_o the_o eight_o sphere_n add_v a_o nine_o and_o ten_o sphere_n to_o it_o that_o there_o be_v but_o eight_o celestial_a orb_n which_o may_v be_v see_v although_o ptholomy_n affirm_v that_o there_o be_v nine_o orb_n equal_o distant_a yet_o be_v there_o but_o eight_o which_o may_v perfect_o be_v see_v and_o decern_v with_o the_o eye_n both_o in_o the_o stand_n variety_n of_o motion_n and_o differ_v in_o the_o periode_n or_o course_n also_o they_o be_v in_o such_o order_n dispose_v that_o no_o orb_n hinder_v the_o motion_n of_o another_o near_a to_o it_o as_o the_o sphere_n of_o the_o fix_a star_n and_o the_o seven_o orb_n of_o the_o planet_n and_o most_o certain_a it_o be_v that_o some_o of_o the_o fix_a star_n be_v draw_v by_o a_o swift_a motion_n and_o other_o by_o a_o slow_a motion_n and_o that_o the_o apogea_n or_o ascension_n also_o of_o the_o planet_n be_v change_v after_o the_o order_n of_o the_o sign_n the_o orb_n of_o the_o planet_n thus_o contain_v and_o compass_v one_o a_o other_o as_o first_o the_o sphere_n of_o saturn_n be_v nigh_a the_o firmament_n of_o which_o be_v compass_v do_v like_o contain_v jupiters_n sphere_n and_o jupiters_n do_v in_o the_o same_o manner_n enclose_v mars_n sphere_n and_o marses_n in_o like_a order_n the_o sun_n sphere_n next_o the_o sun_n do_v contain_v venus_n sphere_n which_o like_o do_v compass_v mercury_n sphere_n and_o mercuries_n do_v contain_v the_o moon_n sphere_n be_v the_o low_a and_o small_a sphere_n and_o every_o of_o these_o sphere_n have_v a_o star_n a_o piece_n name_v eractical_a star_n or_o planet_n which_o star_n have_v every_o one_o their_o proper_a orb_n several_a his_o motion_n several_a and_o unlike_a in_o time_n one_o to_o another_o in_o that_o they_o appear_v one_o while_o never_o together_o and_o another_o while_o be_v see_v far_o distant_a asunder_o by_o which_o it_o agree_v that_o their_o equal_a motion_n to_o appear_v to_o we_o unequal_a either_o through_o the_o pole_n of_o the_o circle_n diverse_a from_o the_o pole_n of_o the_o world_n about_o which_o they_o be_v turn_v as_o be_v the_o pole_n of_o the_o zodiac_n under_o which_o the_o eratical_a star_n be_v continual_o draw_v and_o move_v rather_o for_o that_o the_o earth_n be_v not_o the_o centre_n of_o those_o orb_n by_o which_o the_o planet_n be_v carry_v and_o move_v about_o so_o that_o when_o we_o consider_v those_o move_n by_o the_o centre_n of_o the_o world_n then_o be_v cause_v that_o they_o seem_v to_o we_o as_o they_o be_v increase_v in_o a_o great_a bigness_n when_o as_o we_o behold_v and_o see_v they_o near_o hand_n and_o that_o lesser_a in_o bigness_n when_o we_o see_v they_o place_v far_o off_o even_o so_o in_o the_o equal_a circumference_n of_o the_o orb_n through_o the_o diverse_a distance_n of_o sight_n we_o like_v observe_v the_o unequal_a motion_n by_o the_o equal_a time_n yet_o indeed_o neither_o of_o these_o happen_v but_o that_o they_o be_v draw_v about_o by_o unchangeable_a space_n be_v a_o like_a distant_a and_o keep_v one_o manner_n of_o bigness_n for_o if_o this_o be_v than_o the_o sun_n or_o any_o other_o star_n be_v in_o the_o middle_n of_o heaven_n shall_v seem_v or_o appear_v big_a which_o it_o do_v not_o then_o be_v in_o the_o east_n or_o west_n part_n and_o the_o contrary_n we_o sundry_a time_n see_v when_o as_o the_o sun_n or_o any_o other_o star_n appear_v big_a in_o the_o quarter_n of_o the_o east_n and_o west_n which_o be_v not_o cause_v by_o reason_n of_o the_o short_a distance_n but_o for_o that_o his_o beam_n in_o the_o vapour_n which_o do_v thick_a ascend_v both_o in_o the_o winter_n time_n and_o in_o rainy_a weather_n that_o hang_v in_o the_o air_n between_o our_o sight_n and_o the_o body_n of_o the_o star_n be_v then_o break_v which_o break_v of_o they_o do_v cause_n the_o star_n to_o appear_v far_o big_a to_o the_o eye_n then_o in_o deed_n the_o same_o be_v and_o that_o a_o ready_a and_o easy_a knowledge_n may_v be_v have_v after_o the_o mind_n of_o ptolemy_n of_o the_o first_o mover_n and_o celestial_a orb_n with_o the_o number_n of_o the_o circle_n and_o element_n enclose_v within_o the_o first_o mover_n conceive_v this_o figure_n here_o follow_v most_o apt_o draw_v and_o set_v out_o for_o thy_o further_a instruction_n this_o figure_n declare_v the_o number_n disposition_n and_o order_n of_o the_o celestial_a sphere_n about_o the_o globe_n of_o the_o earth_n that_o there_o be_v two_o first_o motion_n of_o the_o celestial_a orbs._n although_o the_o celestial_a orb_n be_v several_o draw_v by_o proper_a and_o unlike_a motion_n yet_o be_v there_o two_o first_o motion_n that_o be_v manifest_a both_o by_o observation_n and_o judgement_n of_o the_o eye_n the_o one_o be_v of_o the_o first_o mover_n which_o ptholomy_n attribute_v to_o the_o nine_o sphere_n that_o be_v only_o draw_v about_o by_o a_o equal_a swiftness_n from_o the_o east_n into_o the_o west_n and_o from_o thence_o again_o into_o the_o east_n upon_o the_o pole_n of_o the_o world_n or_o equatour_n in_o the_o space_n of_o a_o natural_a day_n or_o 24._o hour_n and_o this_o first_o mover_n draw_v with_o it_o all_o the_o other_o orb_n much_o like_o a_o ship_n which_o be_v at_o full_a sail_n do_v draw_v and_o carry_v all_o her_o man_n &_o other_o live_a thing_n which_o be_v in_o the_o ship_n so_o that_o by_o this_o motion_n of_o the_o first_o mover_n the_o nether_a orb_n which_o the_o first_o mover_n compass_v be_v draw_v once_o every_o natural_a day_n or_o in_o the_o space_n of_o a_o day_n and_o night_n about_o the_o earth_n also_o this_o first_o mover_n do_v not_o only_o describe_v and_o measure_v a_o natural_a day_n but_o cause_v time_n and_o diversity_n of_o day_n and_o night_n with_o the_o proper_a motion_n of_o the_o sun_n and_o it_o daily_o bring_v up_o star_n to_o be_v see_v and_o carry_v up_o to_o the_o high_a and_o after_o hide_v they_o again_o under_o our_o horizont_n in_o the_o west_n beside_o it_o be_v the_o common_a measure_n of_o all_o the_o other_o motion_n the_o other_o motion_n be_v proper_a to_o the_o eight_o sphere_n and_o to_o the_o orb_n of_o the_o seven_o planet_n in_o the_o which_o they_o be_v contrary_o carry_v to_o the_o first_o mover_n as_o from_o the_o west_n into_o the_o east_n in_o move_v under_o the_o zodiac_n and_o about_o the_o pole_n of_o the_o same_o and_o not_o in_o parallel_n from_o the_o equatour_n equal_o separate_v but_o be_v draw_v much_o slow_a yea_o and_o unlike_a as_o by_o a_o like_a example_n when_o a_o ship_n by_o a_o most_o swift_a course_n be_v carry_v into_o the_o west_n yet_o may_v the_o mariner_n and_o other_o in_o the_o ship_n walk_v forward_o in_o the_o mean_a time_n into_o the_o east_n even_o so_o be_v this_o second_o motion_n of_o all_o the_o other_o sphere_n under_o the_o zodiac_n upon_o the_o pole_n of_o the_o ecliptic_a also_o by_o a_o swift_a motion_n
the_o earth_n albategnius_n affirm_v the_o star_n of_o mercury_n to_o be_v least_o of_o all_o the_o star_n and_o suppose_v or_o account_v he_o to_o be_v as_o one_o part_n of_o 19000._o part_n of_o the_o earth_n the_o high_a ascension_n of_o mercury_n sphere_n be_v from_o the_o earth_n after_o albategnius_n distant_a 166._o semidiametres_fw-fr but_o the_o low_a point_n in_o the_o same_o orb_n be_v 56._o semidiametres_fw-fr distant_a from_o the_o earth_n the_o moon_n be_v low_a of_o all_o the_o planet_n do_v compass_n about_o the_o whole_a zodiac_n in_o 27._o day_n 7._o hour_n 43._o minute_n and_o 7._o second_n she_o be_v lesser_a than_o the_o earth_n after_o the_o judgement_n of_o ptolemy_n by_o three_o hundred_o nine_o time_n and_o a_o unity_n more_o than_o eight_o part_n for_o the_o triple_a proportion_n of_o the_o diametre_fw-la of_o the_o earth_n unto_o the_o moon_n by_o devide_v above_o the_o five_o part_n be_v even_o the_o like_a as_o 27._o unto_o 5._o but_o lesser_a she_o be_v then_o the_o sun_n by_o six_o thousand_o five_o hundred_o thirty_o and_o nine_o time_n copernicus_n by_o his_o observation_n find_v the_o earth_n great_a than_o the_o moon_n by_o forty_o three_o time_n less_o than_o a_o eight_o part_n and_o of_o this_o the_o sun_n also_o be_v find_v great_a than_o the_o moon_n by_o seven_o thousand_o part_n lack_v threescore_o second_n and_o the_o great_a distance_n of_o the_o new_a and_o full_o mòone_v from_o the_o earth_n after_o the_o mind_n of_o ptolemy_n be_v 64._o semidiametres_fw-fr and_o 10._o scruple_n but_o after_o late_a observation_n 65._o semidiametres_fw-fr and_o 30._o scruple_n and_o the_o low_a to_o the_o earth_n be_v 55._o semidiametres_fw-fr and_o 8._o minute_n the_o moon_n digress_v from_o the_o sun_n every_o month_n and_o take_v or_o receive_v a_o new_a light_n as_o it_o be_v in_o that_o she_o be_v change_v &_o take_v a_o new_a light_n of_o the_o sun_n do_v after_o increase_v by_o little_a and_o little_a conceive_v daily_o a_o big_a form_n and_o light_n until_o she_o come_v in_o right_a line_n against_o the_o sun_n at_o what_o time_n she_o shine_v with_o full_a light_n after_o return_v again_o unto_o the_o sun_n she_o wax_v old_a by_o lose_v of_o her_o light_n by_o little_a and_o little_a and_o in_o the_o contrary_a manner_n come_v unto_o the_o like_a form_n of_o light_n until_o she_o come_v under_o the_o beam_n of_o the_o sun_n be_v quite_o out_o of_o sight_n also_o for_o that_o the_o moon_n have_v a_o body_n partly_o thin_a partly_o thick_a solyde_v and_o shadow_v therefore_o be_v she_o not_o equal_o fill_v round_o about_o with_o the_o beam_n of_o the_o sun_n but_o that_o the_o same_o half_n of_o her_o globe_n or_o body_n which_o turn_v again_o in_o heaven_n that_o behold_v the_o sun_n be_v it_o which_o shine_v and_o the_o other_o half_o turn_v away_o from_o the_o sun_n light_n be_v that_o which_o shine_v not_o but_o remain_v shadow_v that_o heaven_n have_v a_o round_a form_n and_o to_o be_v carry_v circular_o first_o heaven_n be_v equal_o distant_a round_o about_o from_o the_o earth_n and_o of_o this_o be_v heaven_n perfect_a round_n after_o the_o definition_n of_o the_o sphere_n which_o reason_n be_v thus_o prove_v that_o if_o heaven_n shall_v have_v any_o other_o form_n then_o perfect_a round_n then_o of_o necessity_n must_v the_o star_n change_v their_o distance_n from_o the_o earth_n what_o place_n upon_o earth_n they_o shall_v purchase_v as_o somewhere_o more_o and_o somewhere_o less_o they_o shall_v be_v distant_a and_o the_o stand_n of_o they_o change_v shall_v also_o alter_v their_o apparent_a bigness_n in_o that_o they_o shall_v appear_v great_a being_n see_v near_o hand_n and_o lesser_a be_v see_v far_o off_o yet_o neither_o of_o these_o happen_v but_o that_o they_o continual_o keep_v a_o sunder_o be_v draw_v about_o by_o unchangeable_a space_n and_o hold_v a_o like_a bigness_n and_o distance_n to_o all_o place_n of_o the_o earth_n that_o the_o star_n about_o the_o quarter_n of_o the_o east_n or_o west_n appear_v sometime_o great_a be_v not_o cause_v by_o reason_n of_o the_o short_a distance_n but_o for_o that_o their_o beam_n in_o the_o vapour_n which_o often_o time_n consist_v in_o the_o air_n between_o the_o star_n and_o our_o eye_n be_v then_o break_v which_o break_v of_o they_o cause_v the_o body_n of_o the_o star_n see_v to_o appear_v much_o great_a in_o the_o eye_n then_o in_o deed_n it_o be_v that_o heaven_n be_v draw_v circular_o be_v thus_o know_v in_o that_o we_o always_o see_v all_o the_o star_n from_o the_o east_n into_o the_o west_n to_o be_v draw_v upward_o and_o that_o the_o hemisphere_n in_o our_o sight_n be_v carry_v continual_o in_o distant_a circle_n equidistant_a never_o change_v the_o stand_n or_o distance_n one_o from_o another_o neither_o in_o bigness_n as_o far_o as_o the_o judgement_n of_o the_o eye_n can_v discern_v neither_o any_o whit_n lesson_v for_o they_o be_v drawue_a from_o the_o nether_a place_n as_o from_o the_o earth_n be_v carry_v by_o little_a and_o little_a and_o after_o they_o be_v thus_o come_v unto_o the_o high_a of_o their_o journey_n as_o unto_o the_o noonstéede_n they_o decline_v again_o by_o little_a and_o little_a till_o they_o be_v bring_v down_o unto_o the_o west_n quarter_n and_o there_o set_v and_o hide_a under_o the_o earth_n and_o these_o place_n and_o time_n both_o of_o the_o rise_n and_o setting_n do_v they_o repeat_v in_o certain_a order_n therefore_o by_o these_o it_o appear_v that_o they_o be_v draw_v and_o carry_v by_o round_o by_o the_o second_o it_o be_v evident_a that_o the_o star_n which_o be_v near_o the_o pole_n arctic_n be_v never_o hide_v out_o of_o our_o sight_n but_o be_v continual_o and_o uniformal_o draw_v round_o about_o the_o pole_n as_o the_o centre_n in_o such_o sort_n that_o the_o star_n near_o to_o it_o make_v the_o lesser_a compass_n and_o the_o star_n further_o off_o do_v define_v great_a compass_n so_o that_o the_o star_n fasten_v to_o their_o proper_a orb_n as_o aforewritten_v be_v cyrcular_o carry_v by_o which_o two_o motion_n of_o the_o star_n as_o well_o tend_v unto_o the_o west_n as_o otherwise_o it_o plain_o appear_v that_o heaven_n be_v draw_v about_o and_o carry_v round_o a_o manifest_a demonstration_n appear_v of_o the_o former_a argument_n by_o this_o figure_n here_o follow_v that_o the_o water_n and_o earth_n be_v round_a body_n and_o by_o a_o mutual_a embrace_v do_v make_v one_o body_n and_o one_o hollow_v upperface_n that_o the_o earth_n be_v round_o be_v thus_o prove_v whereas_o in_o every_o upper_a face_n the_o length_n and_o breadth_n be_v consider_v the_o length_n of_o the_o upper_a face_n of_o the_o earth_n be_v from_o the_o west_n into_o the_o east_n or_o contrariwise_o the_o breadth_n be_v from_o the_o south_n into_o the_o north_n or_o contrariwise_o that_o the_o earth_n also_o to_o be_v round_o appear_v after_o length_n in_o that_o the_o sun_n moon_n and_o star_n do_v neither_o arise_v nor_o set_v at_o one_o instant_a time_n alike_o to_o all_o person_n dwell_v in_o any_o part_n of_o the_o earth_n but_o do_v much_o soon_o appear_v and_o shine_v to_o they_o dwell_v unto_o the_o east_n and_o within_o a_o while_n after_o they_o show_v to_o they_o dwell_v in_o the_o west_n by_o the_o second_o appear_v that_o one_o and_o the_o like_a eclipse_n of_o the_o moon_n in_o diverse_a hour_n be_v see_v both_o in_o the_o east_n and_o west_n for_o that_o which_o appear_v in_o the_o first_o hour_n of_o the_o night_n to_o they_o in_o the_o west_n be_v see_v to_o they_o in_o the_o east_n part_n in_o the_o second_o third_o or_o four_o hour_n even_o as_o they_o come_v near_o unto_o the_o east_n which_o will_v not_o be_v cause_v if_o the_o night_n to_o both_o place_n shall_v happen_v and_o be_v at_o one_o moment_n nor_o soon_o will_v they_o appear_v to_o they_o in_o the_o east_n part_n again_o there_o be_v certain_a star_n which_o in_o their_o rise_n do_v appear_v soon_o to_o they_o in_o the_o east_n part_n then_o to_o they_o in_o the_o west_n as_o pliny_n write_v of_o arbelis_n be_v a_o town_n in_o asiria_n where_o a_o eclipse_n of_o the_o moon_n be_v see_v in_o the_o second_o hour_n of_o the_o night_n which_o in_o sicily_n be_v see_v in_o the_o first_o hour_n of_o the_o night_n for_o the_o assyrian_n be_v more_o easterly_a than_o the_o sicilian_n and_o therefore_o do_v the_o sun_n set_v soon_o with_o they_o then_o with_o the_o siciliaus_n and_o when_o it_o be_v also_o the_o second_o hour_n of_o the_o night_n in_o assiria_n the_o sun_n first_o set_v in_o sicilia_n about_o the_o first_o hour_n of_o the_o night_n moreover_o the_o pole_n of_o the_o world_n according_a to_o the_o diversity_n of_o place_n be_v elevate_v and_o
depress_v so_o that_o the_o cause_n of_o the_o diversity_n of_o this_o appearance_n be_v only_o the_o swell_n of_o the_o earth_n to_o be_v brief_a the_o beginning_n and_o space_n of_o the_o day_n and_o night_n and_o that_o in_o diverse_a place_n of_o the_o earth_n do_v vary_v and_o yet_o follow_v in_o a_o manner_n one_o order_n but_o this_o variety_n can_v not_o happen_v if_o the_o earth_n be_v not_o spherical_a and_o all_o about_o equal_o round_o herein_o exclude_v both_o valley_n and_o the_o top_n of_o hill_n which_o apply_v unto_o the_o body_n of_o the_o earth_n cause_v no_o inequality_n or_o diversity_n at_o all_o for_o the_o swell_n of_o the_o earth_n cause_v that_o the_o star_n be_v not_o see_v together_o in_o all_o country_n but_o draw_v about_o by_o little_a and_o little_a by_o a_o certain_a succession_n and_o order_n that_o they_o so_o appear_v soon_o to_o they_o in_o the_o east_n part_n then_o to_o they_o in_o the_o west_n through_o the_o swell_a as_o yet_o not_o above_o carry_v which_o swell_a being_n high_a between_o both_o be_v a_o let_v and_o cause_n of_o the_o late_a appear_v of_o they_o to_o the_o west_n and_o by_o that_o mean_n also_o keep_v and_o hide_v the_o star_n the_o long_o from_o their_o sight_n so_o that_o by_o these_o it_o evident_o appear_v that_o the_o only_a cause_n be_v the_o swell_a of_o the_o earth_n if_o the_o earth_n be_v fashion_v with_o a_o deep_a hollowness_n and_o compass_v round_o about_o with_o a_o light_a enclosure_n then_o shall_v the_o star_n rise_v be_v soon_o see_v to_o they_o in_o the_o west_n part_n and_o much_o late_a appear_v to_o they_o in_o the_o east_n for_o that_o the_o high_a enclosure_n to_o the_o hollowness_n as_o a_o wall_n build_v about_o shall_v be_v a_o let_v and_o hindrance_n to_o the_o sight_n of_o the_o beholder_n in_o such_o sort_n that_o those_o star_n arise_v it_o shall_v hinder_v their_o sight_n if_o the_o earth_n be_v form_v with_o place_n stand_v in_o sharp_a pillar_n form_n or_o in_o right_a line_n up_o then_o shall_v the_o star_n appear_v set_v and_o be_v hide_v alike_o to_o those_o place_n and_o no_o difference_n of_o day_n shall_v be_v cause_v but_o that_o they_o shall_v have_v one_o like_o day_n and_o the_o sun_n also_o appear_v to_o that_o fide_fw-la which_o they_o show_v so_o that_o while_o the_o sun_n run_v and_o compass_v about_o the_o back_n part_n they_o shall_v be_v without_o light_n of_o the_o sun_n and_o shall_v remain_v all_o the_o time_n in_o shadow_n and_o darkness_n and_o if_o it_o shall_v have_v a_o cubic_n for_o i_o than_o shall_v they_o see_v the_o sun_n six_o hour_n and_o loose_a or_o be_v without_o light_n and_o sight_n of_o the_o sun_n other_o eighteen_o hour_n if_o in_o round_o piller-wise_a as_o if_o the_o hownde_n be_v plain_a unto_o both_o the_o pole_n and_o the_o hollow_a part_n shall_v decline_v unto_o the_o east_n and_o west_n then_o shall_v no_o star_n continual_o appear_v to_o they_o dwell_v in_o the_o hollow_a but_o that_o certain_a star_n shall_v arise_v up_o and_o set_v in_o the_o west_n and_o other_o certain_a star_n near_o to_o both_o the_o pole_n shall_v always_o be_v hide_v to_o conclude_v if_o the_o whole_a earth_n be_v frame_v with_o a_o equal_a playnesse_n throughout_o then_o shall_v the_o star_n appear_v at_o one_o moment_n to_o all_o country_n and_o set_v again_o shall_v hide_v the_o like_a out_o of_o sight_n and_o by_o that_o mean_n shall_v the_o day_n begin_v and_o end_v alike_o and_o no_o difference_n shall_v be_v observe_v to_o all_o such_o argument_n see_v experience_n only_o do_v repugn_v or_o contrary_v they_o it_o be_v therefore_o manifest_a that_o the_o earth_n from_o the_o west_n toward_o the_o east_n rise_v up_o into_o a_o equal_a swell_n if_o the_o earth_n also_o be_v plain_a from_o the_o east_n unto_o the_o west_n then_o shall_v the_o star_n arise_v so_o soon_o to_o they_o in_o the_o west_n as_o to_o those_o of_o the_o east_n which_o be_v a_o manifest_a error_n also_o if_o the_o earth_n wéere_o plain_a from_o the_o north_n unto_o the_o south_n and_o like_v from_o the_o south_n unto_o the_o north_n then_o the_o star_n which_o be_v to_o some_o of_o a_o continual_a appearance_n shall_v always_o see_v the_o fame_n and_o like_v which_o way_n or_o into_o what_o quarter_n soever_o a_o man_n go_v which_o also_o be_v untrue_a but_o the_o cause_n which_o make_v the_o earth_n see_v plain_a be_v through_o the_o over_o great_a quantity_n which_o cause_v it_o so_o to_o appear_v to_o every_o man_n sight_n but_o that_o the_o earth_n be_v round_o according_a to_o latitude_n the_o diverse_a elevation_n of_o the_o pole_n and_o star_n either_o always_o in_o sight_n or_o continual_o hide_v do_v evident_o declare_v for_o from_o the_o equatour_n in_o go_v forth_o easy_o towards_o the_o north_n and_o that_o the_o pole_n arctic_n be_v high_o raise_v and_o the_o star_n near_o to_o the_o pole_n raise_v up_o then_o be_v the_o stare_v right_a against_o like_a depress_v and_o as_o they_o be_v out_o of_o sight_n and_o so_o much_o the_o more_o as_o they_o go_v further_o from_o the_o equatoure_n nor_o the_o northerly_a star_n never_o set_v but_o continual_o draw_v about_o in_o sight_n with_o heaven_n but_o the_o contrary_n happen_v by_o go_v from_o the_o say_a circle_n or_o equatoure_n unto_o the_o contrary_a part_n so_o that_o there_o be_v no_o great_a cause_n of_o this_o diversity_n than_o the_o swell_n of_o the_o earth_n which_o if_o the_o same_o shall_v be_v plain_a the_o star_n opposite_a or_o right_n against_o according_a to_o latitude_n about_o the_o pole_n shall_v offer_v and_o appear_v together_o to_o all_o country_n which_o the_o swell_a of_o the_o earth_n hinder_v to_o be_v see_v a_o instrument_n by_o which_o the_o round_a nesse_n of_o the_o earth_n according_a to_o latitude_n may_v be_v prove_v and_o all_o those_o may_v easy_o be_v show_v which_o be_v teach_v of_o the_o day_n artificial_a that_o the_o water_n have_v a_o like_a swell_n and_o run_v round_o this_o by_o two_o reason_n be_v prove_v the_o first_o be_v most_o certain_a by_o a_o mark_n or_o mark_n stand_v on_o the_o sea_n bank_n like_v as_o a_o tower_n steeple_n or_o such_o like_a erect_v of_o purpose_n so_o that_o a_o ship_n sail_v into_o the_o deep_a and_o carry_v so_o far_o off_o that_o no_o more_o of_o the_o side_n or_o bottom_n can_v be_v discern_v save_v the_o top_n of_o the_o mast_n which_o only_o appear_v to_o the_o sight_n or_o thus_o that_o a_o mark_v stand_v on_o the_o sea_n bank_n and_o a_o ship_n pass_v forth_o of_o the_o haven_n sail_v so_o far_o into_o the_o sea_n that_o the_o eye_n of_o the_o beholder_n be_v near_o the_o foot_n of_o the_o mast_n can_v decern_v the_o mark_n the_o ship_n in_o the_o mean_a time_n stay_v or_o stand_v still_o so_o that_o his_o eye_n be_v in_o the_o top_n of_o the_o mast_n shall_v perfect_o see_v that_o mark_n but_o the_o other_o eye_n be_v near_o the_o foot_n of_o the_o mast_n shall_v rather_o better_v see_v the_o mark_n than_o he_o which_o be_v in_o the_o top_n of_o the_o mast_n as_o may_v more_o evident_o appear_v by_o line_n draw_v from_o either_o place_n unto_o the_o mark_n so_o that_o the_o manifest_a cause_n of_o this_o appear_v to_o be_v none_o other_o than_o the_o swell_a of_o the_o water_n but_o here_o be_v all_o other_o impediment_n exclude_v that_o may_v otherwise_o hinder_v as_o mist_n fog_n and_o such_o like_a vapour_n ascend_v also_o a_o like_a reason_n of_o the_o impediment_n of_o this_o above_o write_v be_v for_o that_o the_o water_n arise_v into_o a_o swell_a which_o hinder_v the_o sight_n of_o the_o bottom_n or_o side_n of_o the_o ship_n that_o be_v in_o a_o high_a place_n do_v not_o hinder_v the_o sight_n of_o the_o same_o as_o the_o top_n of_o the_o mast_n which_o either_o exceed_v or_o be_v equal_a with_o the_o swell_n of_o the_o water_n for_o man_n sail_v on_o the_o main_n sea_n see_v nothing_o round_o about_o but_o the_o sky_n and_o the_o sea_n but_o come_v near_o the_o bank_n do_v by_o little_a and_o little_o descry_v and_o see_v either_o high_a hill_n or_o cliff_n as_o if_o they_o be_v rise_v forth_o of_o the_o water_n also_o to_o those_o that_o dwell_v on_o a_o high_a ground_n the_o sun_n first_o arise_v and_o last_o set_v and_o to_o this_o agree_v that_o out_o of_o the_o high_a place_n both_o more_o and_o further_a may_v be_v see_v into_o the_o sea_n then_o in_o valley_n or_o low_a place_n by_o all_o these_o therefore_o it_o be_v evident_a that_o the_o upper_a face_n of_o the_o water_n swell_v as_o by_o the_o example_n follow_v more_o plain_o shall_v appear_v but_o a_o other_o example_n of_o the_o same_o shall_v
experience_n gainsayth_n and_o deni_v muchlesse_a therefore_o can_v it_o be_v great_a ten_o time_n by_o which_o be_v to_o be_v conclude_v that_o the_o water_n be_v but_o little_a in_o quantity_n in_o respect_n of_o the_o earth_n although_o it_o may_v seem_v very_o big_a be_v up_o to_o the_o edge_n of_o the_o upper_a face_n of_o the_o earth_n and_o if_o the_o water_n have_v be_v more_o big_a than_o the_o earth_n they_o have_v drown_v or_o cover_v the_o whole_a earth_n even_o of_o late_a year_n that_o the_o earth_n employ_v the_o middle_a place_n of_o the_o world_n and_o be_v the_o centre_n of_o the_o whole_a a_o ristarchus_n samius_n which_o be_v 261_o year_n before_o the_o birth_n of_o christ_n take_v the_o earth_n from_o the_o middle_n of_o the_o world_n and_o place_v it_o in_o a_o peculiar_a orb_n include_v within_o marses_n and_o venus_n sphere_n and_o to_o be_v draw_v about_o by_o peculiar_a motion_n about_o the_o sun_n which_o he_o feign_v to_o stand_v in_o the_o middle_a of_o the_o world_n as_o unmoveable_a after_o the_o manner_n of_o the_o fix_a star_n the_o like_a argument_n do_v that_o learned_a copernicus_n apply_v unto_o his_o demonstration_n but_o overpass_v such_o reason_n lest_o by_o the_o newness_n of_o the_o argument_n they_o may_v offend_v or_o trouble_v young_a student_n in_o the_o art_n we_o therefore_o by_o true_a knowledge_n of_o the_o wise_a do_v attribute_v the_o middle_a seat_n of_o the_o world_n to_o the_o earth_n and_o appoynte_v it_o the_o centre_n of_o the_o whole_a by_o which_o the_o rise_n &_o settinge_n of_o the_o star_n the_o equinoctial_o the_o time_n of_o the_o increase_n and_o decrease_v of_o the_o day_n the_o shadow_n and_o eclipse_n be_v declare_v the_o earth_n round_o about_o be_v equal_o distant_a from_o heaven_n therefore_o according_a to_o the_o definition_n of_o the_o centre_n the_o earth_n be_v the_o centre_n of_o the_o world_n that_o the_o star_n have_v always_o one_o bigness_n in_o what_o place_n soever_o any_o shall_v behold_v they_o therefore_o be_v they_o in_o a_o equal_a distance_n from_o the_o earth_n the_o roundness_n of_o the_o earthly_a globe_n have_v a_o proportion_n unto_o the_o roundness_n of_o heaven_n that_o be_v the_o certain_a and_o proportional_a part_n in_o the_o earthly_a globe_n do_v answer_n to_o certain_a proportional_a part_n of_o heaven_n therefore_o be_v the_o earth_n the_o centre_n of_o the_o world_n in_o that_o siftéene_a german_a mile_n on_o earth_n do_v answer_n to_o a_o degree_n of_o the_o meridian_n and_o that_o in_o every_o hour_n do_v fifteen_o degree_n arise_v of_o the_o equinoctial_a which_o can_v not_o be_v if_o the_o earth_n be_v not_o in_o the_o middle_n of_o the_o world_n for_o the_o unequal_a ark_n shall_v otherwise_o appear_v in_o the_o equal_a time_n and_o the_o equal_a part_n of_o the_o meridian_n shall_v the_o unequal_a space_n on_o earth_n answer_v which_o experience_n daily_o witness_v unto_o the_o contrary_n and_o hereof_o it_o ensue_v that_o the_o earth_n stand_v in_o the_o middle_n of_o the_o world_n in_o every_o artificial_a day_n do_v six_o sign_n appear_v and_o six_o like_v set_v under_o the_o earth_n therefore_o be_v the_o earth_n in_o the_o middle_n of_o the_o world_n and_o be_v also_o as_o a_o prick_n to_o which_o the_o half_a do_v regular_o move_v daily_o the_o like_a be_v in_o the_o opposition_n of_o the_o sun_n and_o moon_n when_o either_o light_n be_v in_o the_o horizont_n which_o can_v not_o be_v if_o the_o earth_n shall_v approach_v or_o come_v near_o unto_o one_o part_n then_o unto_o the_o other_o if_o it_o be_v near_o to_o either_o of_o the_o pole_n than_o can_v not_o the_o universal_a equinoctial_o be_v for_o that_o the_o one_o ark_n always_o either_o in_o the_o day_n and_o night_n time_n shall_v be_v great_a than_o the_o other_o the_o eccclipse_n also_o can_v not_o be_v in_o the_o change_n and_o full_a moon_n for_o that_o there_o shall_v then_o be_v uneven_a space_n from_o the_o south_n unto_o the_o north_n and_o from_o the_o east_n unto_o the_o west_n if_o the_o earth_n be_v not_o as_o the_o centre_n of_o the_o world_n then_o of_o necessity_n shall_v these_o ensue_v that_o the_o earth_n shall_v approach_v either_o near_o to_o the_o east_n or_o west_n or_o south_n part_n and_o when_o any_o of_o the_o star_n aswell_o the_o fix_a as_o planet_n shall_v come_v unto_o that_o part_n they_o shall_v appear_v near_o to_o we_o then_o be_v in_o any_o other_o part_n of_o heaven_n and_o by_o that_o above_o say_v they_o shall_v also_o appear_v great_a which_o be_v altogether_o untrue_a and_o we_o also_o see_v the_o contrary_a in_o that_o as_o above_o write_v they_o always_o appear_v of_o one_o greatness_n either_o be_v in_o the_o east_n or_o in_o the_o west_n also_o one_o half_a of_o heaven_n be_v always_o above_o the_o earth_n and_o the_o other_o half_n under_o the_o earth_n and_o this_o be_v not_o only_o find_v and_o know_v in_o one_o quarter_n of_o the_o earth_n but_o the_o like_a in_o every_o place_n as_o the_o equinoctial_o do_v witness_n than_o which_o there_o can_v be_v no_o more_o evident_a trial_n a_o three_o reason_n may_v be_v allege_v if_o any_o imagine_v the_o earth_n upon_o the_o centre_n to_o be_v part_v into_o two_o equal_a half_n and_o that_o the_o eye_n be_v place_v in_o the_o centre_n then_o shall_v the_o eye_n see_v no_o more_o than_o the_o half_a of_o heaven_n by_o which_o appear_v that_o the_o swell_a of_o the_o earth_n from_o the_o centre_n unto_o his_o compass_n about_o in_o make_v a_o comparison_n unto_o heaven_n be_v as_o in_o a_o manner_n nothing_o and_o it_o be_v know_v to_o the_o learned_a in_o astronomy_n that_o any_o of_o the_o fix_a star_n be_v by_o many_o time_n great_a than_o the_o earth_n which_o if_o any_o behold_v they_o they_o appear_v as_o point_n in_o heaven_n now_o how_o much_o lesser_o will_v the_o earth_n appear_v if_o a_o man_n shall_v behold_v it_o from_o his_o place_n here_o learn_v by_o this_o demonstration_n follow_v that_o the_o earth_n stand_v without_o the_o centre_n in_o the_o point_n b._n be_v to_o the_o meridiane_a as_o be_v the_o point_n a._n near_a and_o when_o a_o star_n shall_v come_v unto_o that_o point_n then_o shall_v it_o be_v near_o to_o the_o earth_n and_o in_o the_o opposite_a point_n as_o be_v i._o shall_v be_v from_o the_o same_o much_o further_o than_o in_o any_o other_o place_n and_o shall_v even_o there_o lesser_o appear_v which_o by_o experience_n be_v quite_o contrary_a further_o grant_v that_o c._n d._n be_v the_o thwart_a horrizont_n yet_o the_o contrary_a for_o the_o second_o reason_n e._n b._n k._n be_v the_o equatour_n which_o from_o the_o say_v horrizont_n be_v divide_v into_o two_o unequal_a part_n and_o by_o this_o consequent_a also_o must_v the_o zodiac_n be_v divide_v into_o two_o unequal_a part_n from_o the_o say_v horrizont_n for_o that_o those_o two_o circle_n as_o hereafter_o shall_v be_v teach_v do_v cross_v one_o another_o into_o equal_a part_n therefore_o when_o the_o sun_n by_o his_o proper_a motion_n carry_v from_o the_o east_n into_o the_o west_n shall_v come_v unto_o the_o cross_n of_o the_o equatour_n and_o zodiac_n and_o that_o the_o great_a part_n of_o these_o circle_n shall_v be_v under_o the_o earth_n it_o can_v be_v that_o the_o equinoctium_n or_o a_o like_a day_n and_o night_n can_v be_v through_o out_o the_o earth_n no_o not_o under_o the_o right_a sphere_n much_o less_o can_v it_o be_v under_o the_o thwart_a sphere_n if_o this_o be_v unpossible_a it_o shall_v be_v also_o as_o unpossible_a that_o six_o sign_n may_v always_o be_v above_o the_o earth_n and_o the_o other_o six_o under_o the_o earth_n but_o rather_o that_o more_o of_o the_o sign_n shall_v be_v under_o the_o earth_n and_o more_o of_o they_o above_o even_o as_o the_o earth_n be_v imagine_v to_o be_v divide_v from_o the_o horrizont_n aforesaid_a into_o two_o equal_a part_n like_v as_o when_o it_o shall_v be_v in_o the_o centre_n of_o the_o whole_a and_o that_o from_o each_o centre_n of_o the_o great_a circle_n the_o earth_n be_v divide_v into_o two_o part_n as_o all_o these_o to_o any_o behold_v the_o material_a sphere_n be_v forthwith_o know_v at_o the_o first_o sight_n so_o by_o a_o three_o reason_n be_v to_o be_v note_v that_o when_o any_o imagine_v by_o the_o line_n e._n f._n that_o the_o earth_n in_o the_o point_n g._n stand_v as_o in_o the_o centre_n of_o the_o whole_a be_v divide_v by_o the_o middle_n as_o well_o be_v in_o g._n as_o h._n for_o the_o exceed_a distance_n from_o the_o cyrcumference_n be_v unpossible_a to_o see_v always_o the_o half_a heaven_n if_o the_o earth_n be_v not_o in_o the_o middle_n of_o the_o world_n then_o of_o necessity_n shall_v it_o possess_v some_o of_o these_o
through_o the_o difficulty_n of_o measure_v and_o this_o whole_a compass_n be_v not_o only_o mean_v of_o the_o earth_n but_o of_o the_o earth_n and_o water_n joint_o together_o both_o which_o be_v say_v to_o make_v one_o sphere_n also_o eratostenes_n gather_v the_o compass_n of_o all_o the_o earthly_a orb_n by_o the_o proportion_n of_o the_o particular_a or_o the_o degree_n of_o the_o celestial_a circle_n unto_o the_o like_a space_n on_o earth_n for_o he_o affirm_v that_o to_o one_o degree_n of_o the_o celestial_a equatour_n answer_v 700._o furlong_n or_o 15._o german_a mile_n but_o ptolemy_n attribute_v to_o a_o degree_n 500_o furlong_n which_o be_v thus_o to_o be_v understand_v that_o a_o circle_n be_v imagine_v on_o earth_n direct_o under_o the_o equinoctial_a or_o merydian_a line_n devide_v the_o earth_n into_o twoe_o half_n and_o that_o this_o circle_n be_v likewise_o divide_v into_o 360._o part_n or_o degree_n as_o the_o celestial_a circle_n be_v and_o each_o of_o these_o part_n do_v like_a unto_o the_o celestial_a part_n contain_v 700._o furlonge_v or_o 15._o german_a mile_n this_o now_o be_v try_v and_o find_v what_o the_o whole_a sum_n either_o of_o the_o furlong_n or_o mile_n of_o the_o whole_a cyrcumference_n of_o the_o earth_n which_o contain_v 360._o part_n or_o degree_n you_o shall_v easy_o find_v and_o know_v the_o same_o by_o this_o manner_n multiply_v the_o whole_a compass_n of_o the_o earth_n that_o be_v the_o 368._o degree_n by_o the_o 700._o furlong_n or_o fifteen_o german_a mile_n and_o the_o whole_a compass_n shall_v either_o appear_v to_o be_v 252000._o furlong_n or_o 5400._o german_a mile_n this_o whole_a compass_n of_o the_o earth_n divide_v by_o 22._o and_o the_o number_n come_v thereof_o shall_v be_v the_o 22._o part_n of_o the_o compass_n of_o it_o that_o be_v 11454_o 12_o 22._o furlong_n or_o 254_o ●0_n 22._o german_a mile_n and_o abate_v this_o 22._o part_n from_o the_o whole_a sum_n of_o the_o circumference_n and_o the_o number_n in_o furlong_n shall_v remain_v and_o be_v 240545_o 10_o 22._o and_o in_o german_a mile_n 5154_o 1●_n 22._o and_o if_o any_o of_o these_o sum_n be_v divide_v a_o part_n by_o 3._o it_o shall_v be_v find_v in_o furlong_n to_o be_v 80181._o a_o half_a and_o a_o three_o part_n or_o 3_o 2._o 10_o 66._o and_o in_o german_a mile_n 1718_o 4_o 22._o that_o be_v the_o dyameter_n of_o the_o earth_n aswell_o in_o the_o furlonge_v as_o german_a mile_n and_o archimedes_n by_o sundry_a labour_n and_o witty_a invention_n and_o by_o geometrical_a practice_n have_v find_v that_o the_o like_a proportion_n be_v of_o the_o circumference_n of_o the_o whole_a circle_n un_fw-fr to_o the_o diameter_n of_o the_o same_o as_o be_v 22._o unto_o 7._o that_o be_v the_o diameter_n thrice_o with_o a_o seven_o part_n and_o a_o half_a but_o whensoever_o any_o man_n will_v by_o the_o cyrcumference_n of_o the_o circle_n gather_v and_o find_v his_o diameter_n work_v the_o number_n thus_o as_o this_o example_n teach_v first_o set_v down_o 22._o at_o the_o left_a hand_n towards_o the_o right_a hand_n 7._o and_o the_o cyrcumference_n between_o those_o two_o number_n 22._o 5400._o 7._o after_o multiply_v the_o first_o by_o the_o second_o that_o be_v 7._o by_o 5400._o the_o number_n increase_v which_o be_v 47800._o divide_v by_o the_o third_o that_o be_v 22._o and_o you_o shall_v find_v in_o the_o quotient_a 1718_o 4_o 22._o german_a mile_n or_o thus_o in_o furlong_n the_o number_n be_v set_v down_o alike_o 22._o 252000._o 7._o then_o multiply_v the_o first_o by_o the_o second_o as_o 7._o by_o 25200._o and_o the_o increase_n shall_v be_v 1764000._o after_o the_o increase_v number_n divide_v by_o the_o three_o as_o by_o 22._o and_o the_o diameter_n shall_v be_v 80181_o 18_o 22._o if_o any_o covet_v to_o find_v the_o upper_a face_n of_o the_o earth_n by_o the_o dyameter_n and_o cyrcumference_n know_v work_v one_o into_o the_o other_o and_o you_o shall_v have_v that_o you_o seek_v but_o if_o you_o desire_v to_o know_v the_o thickness_n of_o the_o earth_n then_o join_v the_o superficial_a solydenes_n of_o the_o sphere_n unto_o the_o sixth_o part_n of_o the_o diameter_n and_o you_o shall_v obtain_v your_o desire_n the_o second_o part_n of_o the_o spherical_a element_n of_o the_o celestial_a circle_n with_o the_o use_n of_o the_o same_o circle_n what_o be_v the_o sum_n of_o this_o second_o part._n whereas_o in_o the_o first_o part_n be_v only_o teh_a rudiment_n of_o the_o sphere_n handle_v and_o teach_v which_o be_v also_o write_v and_o contain_v in_o diverse_a phycite_n book_n as_o of_o the_o world_n and_o the_o many_o part_n thereof_o that_o be_v of_o the_o ethereal_a and_o elementary_a region_n and_o also_o of_o the_o part_n motion_n and_o forme●_n of_o ●he_n etherial_a region_n as_o heaven_n and_o the_o for●●●e_n 〈◊〉_d and_o quantity_n of_o the_o earth_n here_o in_o this_o second_o part_n shall_v full_o be_v ●et●●●_n th●_n and_o large_o handle_v the_o manifold_a use_n of_o the_o circle_n of_o which_o the_o material_a sphere_n be_v frame_v and_o make_v further_o this_o second_o part_n be_v divide_v into_o three_o part_n the_o first_o teach_v the_o division_n of_o the_o circle_n in_o that_o the_o ancient_a astronomer_n for_o a_o plain_a instruction_n divided_a heaven_n into_o sundry_a circle_n and_o of_o these_o some_o in_o great_a and_o other_o some_o in_o lesser_a circle_n in_o the_o second_o part_n be_v the_o definition_n description_n and_o utility_n of_o all_o the_o circle_n teach_v in_o the_o three_o and_o last_o part_n be_v the_o place_n of_o the_o zone_n learned_o describe_v and_o the_o utility_n of_o they_o so_o that_o this_o second_o part_n do_v especial_o entreat_v of_o the_o circle_n see_v the_o principal_a point_n of_o the_o sphere_n be_v of_o the_o celestial_a appearance_n which_o by_o reason_n of_o the_o celestial_a circle_n or_o of_o the_o first_o mover_n be_v cause_v as_o may_v appear_v of_o the_o ascension_n and_o descension_n of_o the_o sign_n by_o which_o the_o whole_a knowledge_n aswell_o of_o the_o natural_a as_o artificial_a day_n be_v learned_a wherefore_o in_o that_o this_o instruction_n of_o the_o ascension_n of_o the_o sign_n consist_v in_o the_o circle_n which_o the_o ancient_a astronomer_n imagine_v to_o be_v in_o the_o first_o mover_n therefore_o be_v this_o second_o part_n of_o the_o celestial_a circle_n apt_o place_v and_o necessary_o before_o teach_v that_o the_o sphere_n of_o the_o world_n be_v either_o right_a or_o thwart_v the_o roundness_n of_o the_o earth_n as_o be_v afore_o teach_v both_o alter_v the_o stand_n of_o the_o pole_n and_o the_o whole_a sphere_n of_o the_o world_n in_o diverse_a part_n of_o the_o earth_n for_o to_o they_o which_o dwell_v under_o the_o equatour_n either_o pole_n fall_v to_o the_o playnesse_n of_o the_o horizont_n but_o to_o other_o dwell_v without_o the_o equatoure_n the_o one_o pole_n be_v raise_v and_o the_o other_o depress_v &_o hide_v through_o which_o diversity_n of_o the_o standing_n of_o they_o be_v these_o difference_n cause_v that_o the_o rise_n and_o setting_n of_o the_o sign_n be_v alter_v the_o space_n between_o the_o day_n and_o night_n vary_v who_o cause_n ought_v diligent_o to_o be_v seek_v therefore_o be_v the_o right_a sphere_n distinguish_v from_o the_o thwart_a sphere_n of_o the_o world_n in_o this_o manner_n as_o here_o you_o may_v be_v hold_n by_o these_o figure_n follow_v that_o be_v call_v the_o right_a sphere_n in_o which_o either_o pole_n rest_v and_o stand_v on_o the_o plain_a of_o the_o horizont_n and_o the_o equatoure_n which_o there_o do_v exact_o possess_v the_o middle_a place_n between_o the_o pole_n and_o do_v with_o the_o horrizont_n make_v a_o right_n spherical_a angle_n of_o which_o it_o be_v so_o name_v a_o right_a sphere_n for_o they_o have_v such_o a_o stand_n upon_o the_o sphere_n of_o the_o world_n as_o that_o neither_o of_o the_o pole_n be_v elevate_v above_o the_o horizont_n to_o they_o which_o dwell_v under_o the_o equatoure_n the_o thwart_n decline_v or_o bend_a sphere_n be_v that_o in_o which_o either_o of_o the_o pole_n of_o the_o world_n elevate_v be_v see_v above_o the_o horizont_n and_o the_o other_o just_a somuch_o set_v and_o hide_v beneath_o the_o horizont_n and_o also_o that_o the_o equatoure_n frame_v and_o make_v with_o the_o horizont_a thwart_n and_o unequal_a angle_n and_o that_o be_v call_v a_o blunt_a angle_n which_o see_v the_o pole_n elevate_v and_o that_o a_o sharp_a angle_n decline_v unto_o the_o contrary_n they_o which_o dwell_v on_o this_o side_n and_o beyond_o the_o equatoure_n have_v such_o a_o sphere_n but_o the_o same_o form_n and_o condition_n of_o the_o thwart_a sphere_n be_v not_o every_o where_n nor_o the_o positure_n of_o it_o the_o same_o reason_n but_o that_o the_o thwartnesse_n of_o the_o sphere_n
equinoctial_a point_n be_v then_o imagine_v to_o be_v draw_v about_o with_o the_o motion_n of_o the_o first_o mover_n that_o have_v the_o same_o centre_n with_o the_o earth_n at_o that_o time_n by_o which_o the_o plain_n of_o the_o equatoure_n be_v then_o note_v to_o pass_v so_o that_o this_o be_v the_o cause_n why_o pliny_n give_v that_o name_n to_o it_o see_v a_o like_a day_n and_o night_n be_v cause_v the_o sun_n then_o run_v under_o the_o equatoure_n throughout_o the_o earth_n as_o no_o man_n of_o skill_n make_v doubt_n of_o it_o be_v name_v the_o circle_n of_o the_o high_a solstice_n but_o this_o come_v to_o pass_v by_o reason_n of_o those_o which_o dwell_v under_o the_o equinoctial_a and_o have_v four_o solstice_n as_o two_o on_o high_a &_o two_o below_o have_v four_o shadow_n in_o the_o year_n and_o the_o sun_n pass_v twice_o a_o year_n by_o the_o zenith_n right_a over_o their_o head_n as_o when_o the_o sun_n be_v in_o the_o begin_n of_o aries_n and_o libra_n and_o to_o they_o also_o dwell_v under_o the_o equinoctial_a be_v two_o summer_n and_o two_o winter_n and_o the_o heat_n be_v mighty_a and_o strong_a when_o the_o sun_n draw_v from_o they_o into_o the_o north_n or_o south_n yet_o do_v the_o sun_n always_o burn_v the_o earth_n right_a under_o it_o cause_v a_o burn_a zone_n and_o not_o part_v far_o from_o their_o head_n so_o that_o their_o winter_n be_v not_o perfect_o and_o simple_o name_v winter_n as_o with_o we_o which_o be_v cold_a season_n in_o deed_n but_o rather_o with_o they_o be_v a_o continual_a summer_n yet_o for_o that_o the_o cause_n of_o heat_n with_o they_o be_v not_o unformal_o and_o in_o a_o like_a manner_n always_o for_o that_o the_o sun_n do_v not_o approach_v equal_o the_o zenith_n of_o that_o part_n as_o the_o same_o be_v know_v to_o many_o whereof_o the_o heat_n to_o they_o be_v not_o unifourme_v and_o a_o like_a in_o burn_v but_o sometime_o hot_a and_o sometime_o slack_a and_o mean_a of_o heat_n so_o that_o when_o the_o sun_n be_v in_o the_o zenith_n as_o in_o the_o beginning_n of_o aries_n and_o libra_n and_o that_o they_o be_v in_o their_o high_a solstice_n then_o be_v the_o heat_n most_o vehement_a with_o they_o yet_o not_o without_o the_o sun_n this_o heat_n can_v be_v call_v mighty_a but_o when_o as_o the_o sun_n be_v go_v from_o their_o zenith_n which_o happen_v in_o the_o begin_n of_o cancer_n and_o capricorn_n where_o their_o low_a solstice_n be_v the_o heat_n be_v then_o slack_a that_o be_v less_o burn_n so_o that_o the_o weak_a heat_n happen_v in_o the_o low_a solstice_n may_v in_o a_o manner_n be_v name_v cold_a in_o respect_n of_o the_o most_o burn_a heat_n happen_v in_o the_o high_a solstice_n yet_o it_o have_v the_o nomination_n of_o winter_n although_o no_o cold_a may_v be_v feel_v what_o the_o office_n or_o utility_n of_o the_o equinoctial_a be_v the_o cause_n why_o the_o skilful_a practisioner_n take_v and_o use_v the_o equinoctial_a with_o the_o office_n which_o they_o attribute_v to_o it_o and_o the_o many_o fold_n use_v that_o it_o offer_v be_v herein_o declare_v 1_o it_o measure_v the_o motion_n of_o the_o first_o and_o uppermost_a orb_n and_o show_v the_o same_o to_o be_v draw_v about_o by_o a_o continual_a and_o equal_a swiftness_n for_o that_o in_o every_o equal_a hour_n do_v fifteen_o of_o the_o three_o hundred_o and_o three_o score_n degree_n of_o the_o same_o arise_v and_o so_o many_o degree_n right_a against_o set_v and_o be_v hide_v under_o the_o horizont_n and_o that_o all_o the_o three_o hundred_o and_o three_o score_n degree_n in_o 24._o hour_n be_v turn_v about_o in_o the_o appoint_a time_n and_o in_o their_o period_n continual_o agree_v and_o as_o the_o equatour_n from_o the_o pole_n of_o the_o world_n about_o which_o the_o first_o mover_n be_v draw_v and_o be_v of_o either_o side_n distant_a by_o equal_a space_n nor_o the_o angle_n which_o be_v comprehend_v &_o fashion_v with_o the_o horizont_n do_v never_o change_v even_o so_o by_o the_o same_o order_n and_o like_a motion_n do_v the_o first_o heaven_n or_o mover_n evident_o show_v itself_o to_o be_v carry_v about_o for_o the_o equinoctial_a measure_v and_o determine_v the_o motion_n of_o the_o first_o mover_n in_o declare_v his_o revolution_n and_o year_n which_o year_n of_o the_o first_o mover_n be_v the_o time_n of_o 24._o hour_n equal_a but_o by_o what_o mean_v the_o ancient_a astronomer_n first_o find_v that_o the_o equinoctial_a be_v draw_v about_o in_o so_o many_o hour_n and_o it_o be_v suppose_v they_o come_v to_o the_o knowledge_n thereof_o by_o the_o office_n of_o some_o star_n either_o in_o the_o equinoctial_a or_o place_v near_o it_o they_o perceive_v the_o same_o as_o that_o the_o equinoctial_a from_o some_o note_n mark_v of_o they_o do_v return_v to_o it_o in_o such_o a_o certain_a space_n as_o afore_o show_v 2_o the_o diverse_a motion_n of_o the_o zodiac_n which_o happen_v to_o it_o through_o the_o twart_a stand_n or_o lie_v as_o a_o cannon_n or_o rule_n do_v direct_v and_o point_v out_o the_o beginning_n bound_n and_o time_n with_o the_o which_o each_o part_n or_o degree_n of_o the_o zodiac_n arise_v or_o do_v set_v and_o with_o which_o they_o touch_v these_o or_o those_o quarter_n of_o the_o world_n for_o all_o the_o arcke_n of_o the_o equatoure_n be_v draw_v by_o a_o certain_a and_o agreeable_a motion_n continual_o the_o part_n of_o the_o zodiac_n draw_v thwart_o the_o equatoure_n do_v not_o vary_v or_o be_v distant_a by_o like_a space_n from_o the_o pole_n of_o the_o world_n nor_o turn_v about_o he_o but_o the_o same_o pole_n of_o the_o world_n which_o do_v differ_v by_o a_o long_a space_n from_o he_o and_o draw_v about_o by_o a_o most_o unlike_a motion_n and_o nothing_o at_o all_o agree_v in_o itself_o for_o that_o some_o part_n or_o degree_n be_v carry_v up_o soon_o or_o quick_a and_o other_o appear_v slow_a and_o late_a so_o that_o these_o use_v a_o more_o space_n of_o time_n in_o the_o rise_n slow_a and_o those_o other_o pass_v up_o by_o a_o short_a and_o quick_a space_n but_o see_v that_o in_o the_o zodiac_n the_o wander_a star_n or_o planet_n do_v wander_v continual_o hither_o and_o thither_o and_o from_o one_o side_n of_o it_o to_o another_o and_o that_o unto_o the_o middle_a circle_n of_o it_o or_o ecclipticke_a line_n the_o place_n of_o all_o the_o fix_a star_n be_v refer_v and_o apply_v therefore_o can_v the_o time_n of_o the_o rise_n or_o set_v of_o the_o star_n be_v know_v and_o note_v except_o they_o shall_v be_v guess_v and_o attain_v by_o the_o next_o ark_n of_o the_o equinoctial_a it_o also_o declare_v the_o equinoctialle_n which_o be_v cause_v in_o those_o proper_a day_n in_o which_o the_o sun_n happen_v to_o come_v into_o the_o equinoctial_a circle_n for_o these_o be_v cause_v the_o sun_n be_v in_o the_o first_o degree_n of_o aries_n and_o libra_n in_o that_o the_o zodiac_n and_o equinoctial_a do_v cross_v each_o other_o in_o those_o place_n whereof_o manilius_n thus_o write_v that_o these_o sign_n aries_n and_o libra_n cause_n a_o right_n throughout_o the_o earth_n a_o like_a day_n and_o night_n 3._o it_o define_v and_o measure_v the_o space_n both_o of_o the_o natural_a and_o artificial_a day_n and_o although_o the_o sun_n which_o draw_v about_o with_o the_o motion_n of_o the_o first_o mover_n and_o in_o the_o proper_a motion_n carry_v forth_o in_o the_o mean_a time_n by_o force_n into_o the_o contrary_a when_o as_o he_o cause_v the_o time_n of_o the_o day_n and_o night_n so_o well_o as_o the_o difference_n of_o the_o natural_a day_n move_v and_o run_v in_o the_o zodiac_n yet_o of_o his_o motion_n the_o day_n and_o night_n space_n can_v be_v gatherrd_v through_o the_o diversity_n and_o unlikeness_n of_o the_o ascend_a or_o arise_v of_o diverse_a part_n or_o degree_n of_o the_o zodiac_n but_o see_v the_o same_o motion_n be_v of_o all_o the_o part_n of_o the_o equatoure_n therefore_o be_v the_o ascension_n of_o the_o arck_n of_o the_o zodiac_n carry_v up_o with_o the_o ascend_n of_o the_o nigh_a part_n of_o the_o equatour_n like_o arise_v so_o that_o both_o the_o day_n and_o hour_n by_o the_o equal_a motion_n of_o these_o be_v not_o find_v and_o distinguish_v by_o the_o unlike_a and_o unequal_a motion_n of_o they_o in_o that_o these_o ascension_n can_v be_v of_o these_o two_o circle_n the_o greek_n by_o no_o mean_n like_a of_o the_o same_o in_o that_o by_o a_o steadfast_a order_n they_o do_v mark_v the_o day_n and_o night_n time_n therefore_o they_o part_n and_o divide_v they_o into_o equal_a hour_n which_o they_o name_v time_n that_o from_o the_o degree_n of_o the_o zodiac_n they_o may_v distinguish_v they_o for_o every_o fifteen_o
regard_v than_o any_o of_o the_o other_o in_o that_o at_o the_o appearance_n of_o they_o summer_n be_v signify_v and_o at_o the_o set_n of_o they_o which_o be_v six_o month_n after_o winter_n be_v then_o in_o entrance_n like_o which_o be_v not_o show_v in_o the_o other_o sign_n and_o in_o our_o time_n they_o be_v in_o the_o 22._o and_o 23._o degree_n of_o taurus_n the_o sun_n join_v with_o they_o every_o year_n in_o the_o third_o and_o four_o day_n of_o may._n so_o that_o after_o those_o day_n through_o the_o sun_n depart_v from_o they_o they_o be_v know_v to_o arise_v heliace_n before_o the_o sun_n and_o then_o be_v summer_n enter_v which_o in_o our_o time_n happen_v about_o the_o 7._o 8._o 9_o or_o 10._o day_n of_o may_v and_o when_o the_o sun_n be_v come_v by_o his_o course_n unto_o the_o 22._o and_o 23._o degree_n of_o scorpio_n which_o happen_v in_o our_o time_n in_o the_o 5._o and_o 6._o day_n of_o november_n then_o be_v the_o sun_n direct_o against_o pleiades_n and_o the_o sun_n then_o arise_v in_o the_o morning_n they_o do_v set_v and_o about_o these_o day_n as_o in_o the_o 5._o 6._o 7._o 8._o 9_o and_o 10._o day_n of_o november_n winter_n be_v enter_v these_o as_o ptolemy_n write_v be_v of_o the_o nature_n of_o mars_n and_o the_o moon_n but_o all_o the_o other_o be_v some_o of_o the_o three_o and_o four_o and_o some_o of_o the_o fist_n bigness_n be_v of_o the_o nature_n of_o saturn_n and_o a_o little_a of_o mercury_n the_o sign_n gemini_fw-la be_v place_v in_o heaven_n as_o that_o between_o they_o and_o taurus_n be_v that_o constellation_n orion_n stand_v their_o head_a devideb_n from_o the_o rest_n of_o the_o body_n yet_o embrace_v one_o the_o other_o by_o body_n and_o do_v direct_o set_v with_o the_o foot_n and_o arise_v together_o bend_v as_o they_o be_v lie_v of_o which_o those_o two_o be_v the_o notable_a that_o stand_v in_o the_o head_n and_o that_o clear_a star_n in_o the_o head_n which_o go_v before_o name_v castor_n and_o of_o some_o apollo_n have_v beside_o in_o either_o shoulder_n a_o clear_a star_n in_o the_o right_a elbow_n one_o in_o either_o knee_n one_o and_o in_o either_o foot_n one_o star_n and_o the_o other_o which_o follow_v be_v next_o to_o cancer_n have_v in_o the_o head_n a_o star_n name_v pollux_n of_o other_o hercules_n on_o the_o left_a shoulder_n one_o in_o the_o right_a another_o and_o in_o the_o other_o part_n sundry_a other_o star_n to_o the_o number_n of_o 18._o know_v in_o both_o there_o be_v a_o other_o star_n stand_v without_o the_o form_n of_o gemini_fw-la go_v before_o the_o foot_n of_o gemini_fw-la and_o follow_v after_o call_v propus_n and_o be_v in_o our_o time_n in_o the_o 24._o degree_n of_o gemini_fw-la of_o which_o two_o be_v of_o the_o second_o bigness_n as_o those_o in_o the_o head_n but_o the_o other_o be_v of_o the_o third_o four_o and_o fifte_a bigness_n and_o be_v all_o of_o the_o nature_n of_o saturn_n save_v the_o head_n go_v before_o be_v of_o the_o nature_n of_o mercury_n and_o that_o in_o the_o head_n follow_v of_o the_o nature_n of_o mars_n the_o sign_n leo_n look_v unto_o the_o west_n be_v place_v on_o the_o body_n of_o hydra_n and_o not_o in_o the_o head_n by_o which_o cancer_n be_v nigh_o unto_o the_o half_a of_o it_o have_v the_o middle_n divide_v by_o the_o summer_n circle_n in_o such_o sort_n that_o under_o that_o orb_n he_o have_v the_o fore_a foot_n place_v set_v and_o rise_v with_o the_o head_n also_o he_o have_v in_o the_o head_n three_o star_n in_o the_o nape_n of_o the_o neck_n two_o in_o the_o breast_n one_o in_o the_o space_n between_o the_o shoulder_n under_o the_o neck_n or_o behiude_v the_o neck_n three_o in_o the_o middle_n of_o the_o tail_n one_o in_o the_o end_n of_o the_o tail_n another_o and_o in_o the_o belly_n one_o clear_a or_o bright_a star_n name_v the_o hart_n of_o the_o lion_n which_o also_o be_v call_v aroyal_a star_n in_o that_o it_o be_v more_o about_o the_o zodiac_n than_o the_o other_o great_a fix_a star_n and_o for_o this_o cause_n call_v a_o star_n of_o the_o first_o bigness_n although_o in_o truth_n it_o be_v but_o a_o star_n of_o the_o second_o bigness_n be_v of_o the_o nature_n of_o jupiter_n and_o mars_n all_o the_o star_n which_o this_o sign_n have_v as_o ptolemy_n write_v be_v 27._o of_o which_o many_o be_v of_o a_o great_a brightness_n as_o the_o two_o in_o the_o nape_n of_o the_o neck_n of_o the_o second_o bigness_n that_o on_o the_o heart_n of_o the_o first_o bigness_n another_o on_o the_o back_n of_o the_o second_o bigness_n another_o in_o the_o end_n of_o the_o tail_n of_o the_o first_o bigness_n and_o all_o the_o rest_n of_o the_o three_o four_o and_o five_o bigness_n the_o image_n name_v the_o carter_n or_o dri●●●_n of_o the_o car_n ptolemy_n do_v deck_v with_o 14._o stair_n be_v all_o now_o in_o gemini_fw-la and_o of_o the_o 1._o 2._o 3._o 4._o 5._o and_o 6._o bigness_n of_o the_o nature_n of_o mars_n and_o mercury_n also_o this_o image_n name_v the_o carter_n have_v a_o clear_a star_n name_v the_o goat_n stand_v on_o his_o left_a shoulder_n be_v a_o star_n of_o the_o first_o bigness_n and_o in_o our_o time_n in_o the_o 15._o degree_n of_o gemini_fw-la borrow_v nature_n of_o mars_n and_o mercury_n and_o that_o image_n or_o constellation_n name_v the_o kid_n be_v two_o small_a star_n stand_v on_o the_o left_a hand_n of_o the_o carter_n be_v in_o our_o time_n in_o the_o 12._o degree_n of_o gemini_fw-la of_o the_o four_o bigness_n and_o of_o the_o nature_n of_o mars_n and_o mercury_n the_o image_n name_v perseus_n have_v 26._o star_n which_o form_n two_o particular_a image_n of_o which_o that_o which_o be_v see_v on_o his_o left_a side_n be_v name_v gorgon_n or_o the_o head_n algoll_n and_o hereof_o it_o come_v that_o they_o be_v call_v the_o gorgon_n star_n the_o other_o see_v on_o his_o right_a side_n the_o ancient_a astronomer_n name_v the_o circle_n o●_n scythe_n also_o ptolemy_n in_o the_o description_n of_o perseus_n attribute_v to_o the_o head_n of_o algoll_n that_o be_v medusa_n as_o to_o a_o particular_a image_n four_o star_n and_o the_o bright_a star_n of_o they_o be_v in_o the_o head_n of_o algoll_n be_v the_o 12._o star_n be_v in_o our_o time_n in_o the_o ●9_n degree_n and_o twenty_o minute_n of_o taurus_n the_o follow_a star_n be_v of_o the_o four_o bigness_n be_v in_o our_o time_n in_o the_o 18._o degree_n of_o taurus_n and_o ptolemy_n write_v that_o the_o head_n of_o algoll_n be_v of_o the_o second_o bigness_n be_v of_o the_o nature_n of_o saturn_n and_o jupiter_n and_o that_o on_o the_o right_a side_n of_o perscus_n of_o the_o second_o bigness_n be_v of_o the_o nature_n of_o saturn_n and_o jupiter_n and_o be_v in_o our_o time_n in_o 24._o and_o 28._o minute_n of_o taurus_n on_o the_o head_n of_o aries_n not_o far_o from_o the_o foot_n of_o andromed●_n stand_v a_o figure_n which_o the_o greek_n for_o the_o likeness_n of_o the_o letter_n delta_n ●a●e_v deltoton_n and_o the_o latin_n for_o the_o similitude_n of_o the_o form_n call_v a_o tryangle_n this_o figur●_n have_v 〈◊〉_d equal_a side_n but_o the_o three_o not_o so_o perfect_a fashion_v yet_o easy_o to_o be_v know_v for_o that_o it_o shine_v bright_a than_o many_o other_o star_n about_o it_o to_o which_o the_o star_n of_o aries_n be_v a_o little_a southerly_a and_o to_o it_o ptolemy_n attribute_v four_o star_n although_o all_o other_o author_n affirm_v only_o three_o star_n except_o alphonsus_n which_o in_o our_o time_n be_v in_o taurus_n be_v of_o the_o third_o and_o four_o bigness_n and_o altogether_o of_o the_o nature_n of_o mercury_n the_o image_n of_o andromeda_n place_v in_o heaven_n with_o the_o arm_n stretch_v abroad_o and_o each_o hand_n bind_v ptolemy_n declare_v it_o to_o have_v 23._o star_n of_o the_o third_o four_o and_o five_o bigness_n and_o in_o our_o time_n be_v in_o aries_n and_o taurus_n who_o nature_n resemble_v venus_n this_o cassiopia_n be_v figure_v like_o to_o a_o woman_n sit_v in_o a_o chair_n with_o the_o hand_n lift_v up_o after_o a_o wail_a manner_n and_o in_o the_o turn_n of_o the_o world_n about_o she_o be_v draw_v with_o the_o head_n always_o upward_o ptolemy_n do_v number_n 13._o star_n in_o that_o image_n of_o the_o 3._o 4._o 5._o and_o six_o bigness_n which_o in_o our_o time_n be_v in_o the_o sign_n aries_n and_o taurus_n and_o of_o the_o nature_n of_o saturn_n and_o venus_n among_o the_o astrologian_n only_a ptolemy_n and_o alphonsus_n do_v place_n twoe_o horse_n in_o heaven_n or_o as_o i_o may_v more_o right_o speak_v the_o two_o part_n of_o horse_n of_o which_o the_o one_o be_v call_v the_o fore_a
manner_n after_o the_o mind_n of_o hyginius_fw-la but_o cesar_n the_o german_a attribute_v the_o three_o star_n of_o the_o tail_n to_o the_o beam_n of_o the_o waggon_n and_o the_o other_o star_n to_o the_o wheel_n of_o the_o waggon_n the_o figure_n name_v cynosura_n the_o little_a bear_n or_o lesser_a waggon_n do_v the_o man_n of_o syria_n more_o diligent_o regard_n suppose_v to_o sail_v the_o true_a and_o sure_a by_o it_o and_o of_o this_o thought_n through_o their_o first_o find_v of_o the_o same_o to_o have_v it_o call_v after_o they_o phenicen_n this_o little_a bear_n after_o ptolemy_n call_v the_o northerly_a star_n or_o lesser_a waggon_n as_o above_o say_v have_v seven_o star_n which_o in_o ptholomies_n time_n be_v in_o gemini_fw-la and_o cancer_n and_o in_o our_o time_n be_v in_o cancer_n and_o leo._n of_o these_o the_o first_o star_n which_o be_v on_o the_o end_n of_o the_o tail_n be_v name_v the_o pole_n star_n about_o which_o the_o first_o mover_n be_v suppose_v to_o be_v draw_v and_o be_v of_o the_o three_o bigness_n the_o two_o follow_a star_n in_o the_o tail_n and_o the_o two_o before_o wheel_n star_n be_v of_o the_o four_o bigness_n and_o the_o two_o hinder_v wheel_n star_n follow_v be_v of_o the_o second_o greatness_n and_o these_o star_n have_v the_o quality_n of_o saturn_n and_o a_o little_a of_o venus_n as_o ptolemy_n in_o primo_fw-la quadri_fw-la write_v the_o southerly_a image_n in_o respect_n of_o the_o equinoctial_a be_v these_o the_o sign_n libra_n be_v a_o part_n of_o scorpio_n which_o through_o the_o magnitude_n of_o the_o member_n be_v divide_v into_o two_o sign_n of_o which_o the_o figure_n of_o the_o one_o they_o call_v libra_n and_o that_o part_n be_v right_o name_v libra_n in_o that_o when_o the_o sun_n be_v enter_v the_o beginning_n of_o that_o sign_n the_o day_n and_o night_n be_v divide_v a_o like_a as_o by_o a_o equal_a balance_n for_o the_o equinoctial_a harvest_n like_o happen_v at_o the_o entrance_n of_o the_o sun_n into_o aries_n as_o the_o equinoctial_a spring_n do_v this_o sign_n have_v eight_o star_n which_o be_v in_o form_n of_o which_o one_o in_o the_o southerly_a balance_n and_o another_o in_o the_o northerly_a balance_n and_o of_o the_o second_o greatness_n but_o the_o other_o which_o either_o do_v follow_v or_o move_v before_o either_o balance_n be_v of_o the_o four_o and_o fifte_a bigness_n nine_o other_o there_o be_v which_o be_v not_o in_o form_n place_v within_o and_o without_o the_o balance_n be_v all_o of_o the_o nature_n of_o mars_n and_o mercury_n the_o fore_a part_n of_o scorpius_n be_v so_o hide_a of_o the_o equinoctial_a circle_n that_o it_o appear_v to_o stay_v or_o hold_v the_o same_o up_o it_o set_v with_o the_o head_n incline_v and_o arise_v right_o up_o the_o sign_n scorpio_n have_v in_o those_o which_o be_v call_v the_o klée_n in_o each_o of_o they_o two_o star_n of_o which_o the_o fore_a star_n be_v the_o clear_a and_o have_v the_o quality_n of_o mars_n and_o a_o part_n of_o saturn_n it_o have_v also_o in_o the_o forehead_n three_o star_n of_o which_o the_o middle_a star_n be_v the_o clear_a and_o of_o the_o third_o bigness_n in_o the_o space_n between_o the_o shoulder_n under_o the_o neck_n three_o star_n in_o the_o belly_n two_o in_o the_o top_n of_o the_o tail_n five_o with_o the_o which_o he_o be_v sppose_v to_o strike_v two_o star_n in_o the_o whole_a the_o sign_n have_v 24._o star_n that_o one_o star_n which_o be_v name_v antare_v or_o the_o heart_n of_o the_o scorpion_n be_v of_o the_o second_o greatness_n and_o of_o the_o nature_n of_o jupiter_n and_o mars_n and_o many_o star_n especial_o those_o which_o be_v place_v on_o the_o body_n be_v of_o the_o 3._o greatness_n and_o have_v the_o quality_n of_o jupiter_n and_o mars_n the_o star_n by_o the_o forehead_n of_o the_o nature_n of_o mars_n and_o part_n of_o saturn_n the_o star_n on_o the_o leg_n and_o foot_n be_v of_o the_o four_o and_o five_o bigness_n and_o have_v the_o quality_n of_o jupiter_n saturn_n mars_n mercury_n and_o part_n of_o venus_n the_o sign_n sagitarius_n look_v unto_o the_o west_n and_o be_v figure_v with_o the_o body_n of_o a_o centaur_n as_o it_o be_v shoot_v arrow_n begin_v from_o the_o foot_n unto_o the_o shoulder_n it_o be_v so_o place_v in_o the_o winter_n circle_n that_o his_o head_n only_o may_v seem_v to_o appear_v without_o the_o same_o circle_n who_o half_a bow_n be_v divide_v by_o the_o milky_a circle_n and_o before_o his_o foot_n stand_v the_o crown_n deck_v with_o certain_a star_n he_o seat_v headlong_o and_o arise_v straight_o up_o this_o sign_n have_v in_o the_o head_n two_o star_n of_o the_o four_o bigness_n of_o the_o nature_n of_o mars_n and_o the_o sun_n in_o the_o right_a elbow_n one_o and_o in_o the_o forehead_n one_o in_o the_o belly_n one_o in_o the_o left_a shoulder_n one_o of_o the_o three_o bigness_n and_o quality_n of_o jupiter_n and_o saturn_n the_o star_n of_o either_o side_n the_o root_n of_o the_o tail_n of_o the_o five_o bigness_n and_o of_o the_o nature_n of_o venus_n and_o part_n saturn_n in_o the_o fore_a knee_n one_o star_n etc._n etc._n this_o sign_n in_o the_o whole_a have_v 31._o star_n of_o which_o those_o on_o the_o bow_n on_o the_o north_n south_n and_o middle_a part_n be_v of_o the_o three_o bigness_n and_o of_o the_o nature_n of_o jupiter_n and_o mars_n and_o two_o on_o the_o left_a foot_n of_o the_o second_o bigness_n the_o one_o on_o the_o right_a ankle_n of_o the_o thyrd_o bigness_n and_o that_o star_n in_o the_o right_a elbow_n of_o the_o four_o bigness_n and_o have_v the_o quality_n of_o jupiter_n and_o saturn_n all_o the_o other_o be_v of_o the_o four_o or_o five_o magnitude_n the_o sign_n capricornus_fw-la look_v unto_o the_o west_n and_o be_v whole_o figure_v in_o the_o zodiac_n circle_n the_o tail_n with_o the_o whole_a body_n be_v divide_v by_o half_a of_o the_o winter_n circle_n and_o reach_v to_o the_o left_a hand_n of_o aquarius_n he_o set_v headlong_o and_o arise_v right_o up_o he_o have_v a_o star_n on_o the_o nose_n and_o another_o go_n before_o the_o two_o star_n in_o the_o mouth_n another_o follow_v they_o and_o another_o southerly_a of_o the_o three_o in_o the_o mouth_n all_o of_o the_o sixth_o bigness_n and_o of_o the_o nature_n of_o saturn_n and_o part_n mars_n and_o venus_n a_o star_n go_v before_o the_o three_o under_o the_o right_a eye_n of_o the_o five_o bigness_n and_o of_o the_o nature_n of_o mars_n and_o mercury_n the_o southerly_a of_o the_o three_o follow_v behind_o the_o horn_n of_o the_o three_o bigness_n the_o northerly_a of_o the_o three_o behind_o the_o horn_n of_o the_o three_o bigness_n the_o northerly_o and_o southerly_o of_o the_o star_n in_o the_o neck_n of_o the_o five_o and_o sixth_o bigness_n in_o the_o neck_n between_o the_o shoulder_n seven_o on_o the_o breast_n two_o on_o the_o belly_n and_o body_n seven_o of_o the_o fifte_a bigness_n and_o of_o the_o nature_n of_o mars_n and_o mercury_n the_o star_n on_o the_o tail_n of_o the_o three_o four_o and_o five_o bigness_n and_o of_o the_o nature_n of_o saturn_n and_o jupiter_n in_o the_o whole_a he_o have_v 28._o star_n know_v of_o which_o the_o two_o on_o the_o horn_n be_v of_o the_o three_o bigness_n but_o all_o the_o other_o be_v of_o the_o four_o five_o and_o sixth_o bigness_n the_o ancient_a astronomer_n as_o aratus_n hyginus_n and_o other_o do_v assign_v three_o image_n in_o one_o constellation_n as_o the_o hydra_n or_o monstrous_a serpent_n on_o who_o tail_n they_o describe_v the_o raven_n to_o sit_v &_o almost_o in_o the_o middle_n of_o the_o same_o figure_n they_o affirm_v the_o cup_n to_o stand_v it_o be_v a_o sign_n in_o the_o south_n part_n have_v the_o head_n decline_v unto_o cancer_n the_o half_a of_o who_o wind_a body_n be_v place_v under_o leo_n but_o he_o reach_v the_o tail_n unto_o the_o centaur_n on_o which_o the_o raven_n do_v sit_v to_o this_o hydra_n or_o water_n serpent_n do_v ptolemy_n give_v 25._o star_n be_v of_o the_o second_o three_o four_o five_o &_o sixth_o bigness_n his_o beginning_n in_o ptholomies_n time_n be_v in_o the_o fourteen_o the_o agree_v of_o cancer_n but_o the_o end_n almost_o in_o the_o fourteen_o degree_n of_o libra_n and_o in_o our_o time_n the_o beginning_n be_v in_o the_o 4._o degree_n of_o leo_n and_o the_o end_n in_o the_o three_o degree_n of_o scorpius_n be_v of_o the_o nature_n of_o saturn_n and_o venus_n the_o great_a water_n cup_n or_o pitcher_n do_v ptolemy_n deck_v with_o seven_o star_n be_v of_o the_o four_o bigness_n which_o in_o his_o time_n be_v in_o leo_n and_o virgo_fw-la and_o in_o our_o time_n in_o virgo_fw-la and_o of_o the_o quality_n of_o venus_n and_o
of_o the_o fore-dog_n to_o this_o fore-dog_n do_v ptolemy_n attribute_v only_o two_o star_n other_o do_v number_n three_o that_o in_o ptholomies_n time_n be_v in_o gemini_fw-la and_o in_o our_o time_n be_v in_o cancer_n of_o which_o the_o fore_a star_n which_o be_v in_o the_o addition_n of_o the_o same_o do_v possess_v the_o magnitude_n the_o scond_v star_n which_o stand_v on_o the_o leg_n shine_v bright_a be_v protion_n of_o the_o first_o bigness_n all_o be_v of_o the_o nature_n of_o mercutie_n and_o a_o little_a of_o mars_n the_o other_o dog_n be_v the_o great_a be_v name_v of_o the_o arabian_n alhabor_n which_o proper_o be_v name_v the_o great_a dog_n and_o this_o understand_v that_o the_o same_o star_n be_v bright_a shine_v which_o stand_v on_o the_o mouth_n or_o tongue_n of_o the_o dog_n be_v of_o the_o first_o bigness_n and_o name_v by_o author_n the_o dog_n in_o the_o name_n of_o the_o whole_a image_n the_o star_n name_v syrius_n or_o the_o dog_n be_v place_v in_o the_o middle_a centre_n of_o heaven_n unto_o which_o when_o the_o sun_n shall_v come_v the_o heat_n be_v then_o double_v and_o man_n body_n affect_v with_o faintness_n also_o they_o suppose_v that_o star_n to_o be_v call_v syrius_n though_o the_o brightness_n of_o his_o fiery_a shine_v the_o latin_n name_v he_o the_o canicule_a or_o dog-star_n of_o which_o the_o canicule_a or_o dog_n day_n be_v name_v in_o that_o while_o the_o sun_n run_v in_o that_o part_n it_o be_v dangerous_a and_o this_o through_o the_o quality_n of_o the_o season_n then_o be_v that_o dispose_v the_o time_n to_o health_n or_o sickness_n and_o hercos_fw-la it_o be_v that_o while_o for_o a_o time_n it_o arise_v the_o season_n be_v not_o always_o contagious_a ptolemy_n name_v that_o star_n which_o be_v on_o the_o mouth_n of_o the_o dog_n and_o assign_v he_o to_o be_v of_o the_o first_o bigness_n most_o clear_a and_o bright_a in_o shine_v and_o to_o that_o star_n which_o stand_v or_o be_v place_v on_o the_o head_n he_o give_v a_o small_a quantity_n that_o be_v to_o be_v a_o star_n of_o the_o five_o bigness_n avicen_n thus_o write_v of_o the_o dog-day_n will_v man_n to_o beware_v and_o learn_v the_o time_n in_o which_o the_o great_a dog_n arise_v and_o the_o season_n in_o which_o the_o snow_n lie_v still_o on_o the_o high_a hill_n or_o mountain_n and_o the_o frosty_a or_o sharp_a cold_a time_n for_o than_o be_v no_o apt_a time_n of_o minister_a medicine_n but_o a_o medicine_n may_v safe_o be_v drink_v or_o otherwise_o give_v in_o the_o spring_n and_o harvest_n time_n hypocrates_n be_v of_o the_o same_o mind_n affirm_v that_o in_o the_o dog-day_n and_o before_o they_o no_o purgation_n may_v safe_o be_v minister_v the_o beginning_n of_o the_o dog-day_n vari_v according_a to_o the_o diversity_n of_o region_n climate_n and_o latitude_n in_o our_o time_n the_o dog-day_n begin_v at_o the_o sun_n entrance_n into_o the_o 10._o 11._o and_o 12._o degree_n of_o leo._n that_o which_o above_o be_v say_v that_o the_o star_n syrius_n be_v in_o the_o middle_a centre_n of_o heaven_n be_v mean_v that_o the_o star_n be_v in_o a_o celestial_a circle_n as_o the_o solsticiall_a colour_n who_o centre_n be_v the_o centre_n of_o heaven_n in_o which_o that_o circle_n be_v describe_v this_o understand_v that_o the_o sun_n be_v then_o join_v with_o the_o star_n syrius_n when_o they_o both_o arise_v together_o in_o the_o horizont_n above_o the_o earth_n and_o set_v heliace_n west_n with_o the_o sun_n though_o it_o can_v be_v see_v rise_v in_o the_o morning_n for_o the_o bright_a beam_n of_o the_o sun_n but_o after_o the_o sun_n daily_o move_v from_o it_o the_o star_n begin_v to_o arise_v and_o be_v see_v in_o the_o morning_n before_o the_o sun_n to_o a_o man_n of_o knowledge_n this_o be_v not_o strange_a that_o the_o dog-star_n arise_v once_o every_o natural_a day_n yet_o the_o word_n of_o avicen_n be_v thus_o mean_v that_o in_o what_o time_n the_o dog-star_n ascend_v with_o the_o sun_n and_o this_o at_o the_o horizontall_a meeting_n and_o join_v together_o of_o they_o in_o the_o morning_n which_o pestilent_a caniculare_fw-la time_n do_v the_o physician_n determine_v to_o be_v of_o 40._o day_n long_o but_o the_o malice_n of_o that_o season_n be_v many_o time_n overcome_v &_o change_v through_o the_o strong_a beam_n of_o the_o planet_n happen_v in_o this_o time_n as_o of_o jupiter_n venus_n and_o sometime_o of_o saturn_n ptolemy_n do_v assign_v to_o this_o constellation_n name_v the_o dog-star_n 18._o star_n of_o the_o first_o 3._o 4._o and_o 5._o magnitude_n that_o in_o his_o time_n be_v all_o in_o gemini_fw-la and_o in_o our_o time_n in_o cancer_n except_o the_o 17._o star_n which_o be_v in_o the_o end_n of_o gemini_fw-la and_o that_o which_o be_v bright_a shine_v in_o the_o dog_n mouth_n be_v name_v alhabor_n have_v the_o quality_n of_o jupiter_n and_o a_o little_a of_o mars_n and_o all_o the_o other_o apply_v to_o venus_n hyginus_n write_v of_o this_o image_n name_v the_o southerly_a crown_n which_o of_o many_o be_v name_v vraniscus_n as_o if_o the_o same_o appear_v fashion_v hollow_a from_o heaven_n the_o same_o do_v he_o thus_o describe_v that_o before_o the_o fore_a foot_n of_o sagitarius_n be_v a_o few_o star_n fashion_v into_o a_o roundness_n which_o form_n his_o crown_n that_o many_o have_v imagine_v as_o cast_v from_o he_o in_o bondage_n manner_n and_o many_o mean_a by_o this_o greek_a word_n ouraniseos_n the_o palate_n in_o that_o this_o crown_n appear_v fashion_v like_o to_o the_o palate_n which_o be_v a_o hollowness_n above_o the_o tongue_n to_o this_o celestial_a crown_n fashion_v like_o a_o little_a palate_n do_v ptolemy_n assign_v 13._o star_n of_o the_o four_o five_o and_o sixth_o magnitude_n that_o in_o his_o time_n be_v all_o in_o sagitarius_n and_o in_o our_o time_n be_v in_o sagitarius_n and_o capricornus_fw-la of_o the_o nature_n of_o saturn_n and_o mars_n this_o image_n do_v some_o name_n the_o monstrous_a fish_n the_o terrible_a fish_n the_o monstrous_a sea_n beast_n and_o sea_n lion_n or_o bear_n this_o huge_a fish_n name_v the_o celestial_a whale_n be_v place_v under_o aries_n and_o both_o the_o fish_n lie_v a_o little_a above_o the_o starry_a river_n in_o the_o region_n of_o heaven_n ptolemy_n do_v assign_v to_o this_o celestial_a whale_n 22._o star_n of_o the_o three_o four_o and_o five_o bigness_n that_o in_o his_o time_n be_v all_o place_v in_o pisces_fw-la and_o aries_n and_o at_o this_o day_n be_v in_o pisces_fw-la aries_n and_o taurus_n and_o most_o of_o they_o be_v of_o the_o nature_n of_o saturn_n and_o venus_n and_o some_o only_o of_o saturn_n this_o meridiane_a fish_n name_v the_o southern_a or_o southerly_a fish_n and_o great_a who_o aliance_n be_v the_o fish_n name_v which_o be_v place_v in_o the_o circle_n of_o the_o zodiac_n this_o sign_n or_o image_n be_v place_v in_o the_o south_n part_n and_o seem_v as_o it_o be_v with_o the_o mouth_n to_o drink_v of_o the_o water_n come_v from_o the_o sign_n aquarius_n ptolemy_n do_v number_n and_o give_v to_o this_o southerly_a fish_n 11._o star_n be_v of_o the_o first_o four_o and_o five_o magnitude_n that_o in_o his_o time_n be_v all_o in_o capricornus_fw-la and_o aquarius_n and_o in_o our_o time_n be_v all_o in_o aquarius_n the_o brghter_n star_n in_o his_o mouth_n have_v the_o quality_n of_o venus_n and_o mercury_n but_o those_o star_n place_v on_o the_o body_n of_o the_o same_o be_v agreeable_a and_o a_o like_a to_o the_o nature_n of_o saturn_n these_o hitherto_o for_o the_o image_n place_v on_o the_o north_n and_o south_n side_n of_o the_o equatoure_n 5_o by_o the_o five_o be_v the_o declination_n of_o the_o part_n of_o the_o ecclipticke_a from_o the_o equatoure_n as_o at_o the_o bind_v from_o which_o it_o be_v know_v and_o both_o the_o declination_n of_o the_o star_n and_o the_o latitude_n of_o place_n learned_a the_o declination_n of_o the_o star_n be_v call_v the_o distance_n of_o they_o from_o the_o equatour_n towards_o either_o of_o the_o pole_n of_o the_o world_n the_o latitude_n of_o place_n the_o space_n from_o the_o equatoure_n unto_o the_o high_a of_o they_o raise_v in_o the_o meridiane_a as_o by_o the_o top_n gather_v and_o learn_v in_o the_o stand_n right_o over_o also_o by_o the_o equatoure_n do_v we_o learn_v the_o declination_n of_o the_o planet_n aswell_o northerly_a as_o southerly_a move_v as_o more_o evident_o do_v appear_v in_o the_o solyde_a sphere_n or_o globe_n so_o that_o by_o the_o declination_n of_o the_o star_n know_v a_o man_n may_v easy_o place_v they_o in_o proper_a instrument_n by_o which_o great_a utility_n arise_v and_o it_o be_v the_o measure_n of_o time_n in_o that_o the_o length_n of_o the_o natural_a day_n be_v know_v thereby_o 6_o by_o
the_o sixth_o be_v learn_v that_o in_o the_o same_o circle_n as_o by_o the_o subject_a be_v both_o the_o length_n of_o the_o whole_a earth_n and_o particular_a place_n stand_v in_o diverse_a part_n of_o the_o earth_n consider_v and_o measure_v for_o according_a to_o the_o exact_a doctrine_n of_o the_o spherical_a tryangle_n the_o longitude_n or_o length_n of_o place_n and_o the_o difference_n of_o longitude_n be_v always_o the_o equinoctial_a ark_n and_o not_o any_o parallel_n by_o it_o also_o the_o declination_n of_o any_o degree_n of_o the_o zodiac_n be_v know_v which_o be_v have_v in_o any_o day_n at_o noon_n the_o sun_n then_o shine_v clear_a forth_o the_o northerly_a latitude_n or_o elevation_n of_o the_o pole_n of_o any_o town_n may_v artificial_o be_v know_v it_o be_v beside_o the_o measure_n of_o time_n in_o that_o a_o natural_a day_n be_v perform_v by_o one_o whole_a return_n of_o the_o equinoctial_a with_o a_o addition_n or_o inerease_n to_o that_o part_n of_o the_o ecclipticke_a which_o the_o sun_n in_o the_o mean_a while_o accomplish_v by_o his_o proper_a motion_n against_o the_o motion_n of_o the_o first_o mover_n 7_o by_o the_o seven_o it_o much_o avail_v and_o help_v the_o doctrine_n of_o astrology_n in_o that_o by_o the_o guide_n and_o lead_n of_o the_o same_o be_v the_o beginning_n of_o the_o twelve_o house_n of_o heaven_n find_v when_o astrologiall_a figure_n be_v erect_v and_o fashion_v to_o prognosticate_v or_o judge_v by_o which_o can_v never_o so_o perfect_o be_v search_v and_o find_v without_o the_o equatoure_n and_o this_o through_o the_o unlike_a motion_n and_o ascension_n of_o the_o part_n or_o sign_n of_o the_o zodiac_n by_o it_o also_o be_v all_o town_n according_a to_o their_o longitude_n and_o latitude_n easy_o place_v and_o find_v in_o the_o earthly_a globe_n so_o that_o by_o it_o a_o man_n may_v ready_o know_v which_o town_n be_v northerly_a and_o which_o southerly_a it_o have_v beside_o a_o most_o great_a use_n in_o geography_n unto_o find_v the_o distance_n of_o place_n and_o unto_o place_v of_o city_n in_o the_o earthly_a globe_n in_o have_v the_o true_a longitude_n and_o latitude_n of_o they_o 8_o the_o eight_o instruction_n that_o by_o it_o a_o man_n may_v attain_v the_o knowledge_n of_o all_o the_o celestial_a parallel_n circle_n and_o the_o earthly_a zone_n lie_v under_o they_o as_o by_o this_o example_n the_o parallel_n streach_v along_o by_o rhodes_n can_v otherwise_o be_v know_v but_o by_o his_o distance_n from_o the_o equinoctial_a as_o by_o his_o principal_a &_o fore_a note_a parallel_n which_o a_o man_n may_v learn_v and_o know_v to_o be_v from_o the_o equatoure_n towards_o the_o north_n 36._o degree_n the_o same_o knowledge_n may_v apt_o be_v have_v of_o all_o the_o other_o parallel_n circle_n right_o know_v so_o that_o none_o otherwise_o can_v be_v prompt_a and_o saillfull_a in_o geographical_a matter_n cleonedes_o affirm_v prima_n meteor_n that_o it_o afterward_o behove_v to_o know_v how_o to_o describe_v each_o turn_n about_o of_o the_o fix_a star_n with_o the_o first_o mover_n about_o his_o centre_n circle_n as_o that_o all_o the_o parallel_n circle_n be_v know_v see_v among_o those_o circle_n the_o equinoctial_a be_v great_a and_o those_o parallel_n circle_n lest_o which_o be_v draw_v about_o the_o pole_n of_o the_o world_n even_o the_o like_a be_v those_o the_o great_a circle_n according_a to_o proportion_n from_o they_o which_o be_v describe_v unto_o the_o equinoctial_a 9_o the_o niuth_v show_v that_o no_o description_n of_o the_o earth_n although_o in_o platefourme_v can_v be_v express_v neither_o by_o straight_o nor_o crooked_a line_n without_o the_o knowledge_n of_o the_o equatoure_n 10_o by_o the_o ten_o appear_v what_o commodity_n of_o the_o same_o have_v and_o serve_v in_o the_o judge_a of_o geniture_n be_v here_o by_o silence_n overpass_o see_v with_o brevity_n it_o can_v be_v utter_v the_o description_n name_n and_o office_n of_o the_o zodiac_n and_o ecclipticke_a line_n or_o way_n of_o the_o sun_n after_o the_o ancient_a astronomer_n have_v divide_v heaven_n into_o twoe_o equal_a half_n by_o the_o equinoctial_a and_o diligent_o observe_v and_o note_v the_o thwart_a draw_v and_o stand_v of_o the_o zodiac_n and_o a_o like_a form_n of_o a_o large_a zone_n the_o diverse_a course_n motion_n and_o wander_n both_o of_o the_o sun_n moon_n and_o other_o planet_n which_o be_v draw_v about_o with_o the_o first_o mover_n keep_v no_o equal_a space_n in_o themselves_o agree_v to_o the_o first_o mover_n nor_o a_o like_a distant_a in_o their_o motion_n from_o the_o equatoure_n but_o that_o while_o they_o be_v daily_o draw_v by_o a_o contrary_a motion_n of_o the_o first_o mover_n into_o the_o east_n they_o in_o the_o mean_a time_n wander_v one_o while_o into_o the_o north_n and_o anotherwhiles_o into_o the_o south_n unto_o a_o certain_a elongation_n and_o distiance_n and_o so_o return_v unto_o that_o circle_n they_o abserue_v also_o that_o the_o planet_n keep_v always_o one_o manner_n of_o journey_n and_o way_n and_o that_o way_n cut_v or_o cress_v heaven_n and_o the_o equinoctial_a by_o a_o thwart_a manner_n the_o same_o of_o these_o they_o name_v the_o zodiac_n this_o circle_n of_o the_o 12_o sign_n common_o call_v the_o zodiac_n which_o also_o be_v a_o great_a circle_n and_o thwart_v lie_v have_v a_o latitude_n movable_a unto_o the_o motion_n of_o the_o sphere_n to_o which_o it_o fasten_v and_o every_o where_o be_v a_o like_a under_o which_o the_o planette_n by_o a_o continual_a motion_n be_v draw_v and_o run_v this_o circle_n also_o do_v the_o latin_n name_n thwart_v through_o the_o thwart_a stand_n of_o it_o for_o the_o equatour_n do_v compass_v the_o sphere_n of_o the_o world_n by_o the_o just_a middle_a space_n between_o either_o pole_n but_o the_o zodiac_n be_v thwart_o draw_v both_o to_o the_o sphere_n of_o the_o world_n and_o to_o the_o equatoure_n so_o that_o in_o some_o part_n it_o be_v near_o to_o the_o pole_n of_o the_o same_o and_o in_o some_o part_v further_a distance_n from_o it_o it_o be_v cross_v also_o of_o the_o equatoure_n into_o two_o eqnall_a half_a circle_n of_o which_o the_o one_o be_v call_v the_o boreall_n or_o northerly_a half_a circle_n and_o the_o other_o the_o meridional_a or_o southerly_a half_a circle_n therefore_o by_o the_o continual_a turn_n of_o heaven_n draw_v about_o unto_o any_o right_a and_o thwart_v horizont_a incline_v according_a to_o the_o thwart_a angle_n it_o do_v both_o change_n and_o vary_v those_o angle_n by_o the_o continual_a motion_n and_o turn_v about_o for_o to_o certain_a ark_n it_o figure_v and_o form_v right_a and_o to_o certain_a other_o thwarter_n angel_n through_o that_o diverse_a inclination_n unto_o the_o horizont_n which_o ensue_v after_o the_o stand_n of_o it_o and_o the_o diversity_n of_o the_o inclination_n of_o it_o unto_o the_o horizont_n do_v also_o cause_v a_o variety_n in_o the_o motion_n for_o those_o do_v slow_o arise_v which_o make_v right_a angle_n with_o the_o horizont_n and_o those_o be_v soon_o draw_v up_o and_o appear_v which_o do_v cause_n thwart_o angles_n in_o the_o thwart_a sphere_n with_o that_o thwartnesse_n of_o the_o sphere_n and_o the_o angle_n which_o the_o horizont_a and_o zodiac_n perform_v be_v the_o thwartnesse_n increase_v what_o the_o name_n be_v of_o this_o circle_n 1_o this_o circle_n be_v name_v the_o zodiac_n of_o this_o greek_a word_n zoe_v that_o be_v in_o english_a life_n in_o that_o it_o be_v the_o path_n or_o the_o come_n and_o go_v of_o the_o sun_n which_o be_v call_v the_o author_n of_o life_n &_o causer_n of_o generation_n as_o aristotle_n write_v or_o of_o the_o greek_a name_n zódion_fw-la which_o in_o english_a be_v the_o figure_n of_o beast_n with_o the_o which_o this_o circle_n be_v imagine_v to_o be_v form_v by_o the_o concourse_n of_o star_n 2_o this_o circle_n be_v name_v thwart_a or_o bow_v in_o that_o it_o cross_v thwart_o the_o equinoctial_a and_o first_o mover_n and_o do_v appear_v thwart_a in_o respect_n of_o the_o pole_n of_o the_o world_n from_o which_o it_o be_v not_o equal_o distant_a or_o for_o that_o it_o make_v not_o right_o but_o thwart_a angle_n with_o the_o equinoctial_a and_o colour_n or_o tropicke_n or_o for_o that_o it_o do_v not_o regular_o ascend_v and_o descend_v according_a to_o his_o part_n like_a as_o the_o equinoctial_a do_v but_o that_o certain_a part_n or_o sign_n of_o the_o same_o do_v right_a and_o slow_a and_o certain_a thwarter_n and_o swift_a arise_v in_o either_o sphere_n but_o the_o zodiac_n be_v not_o name_v thwart_o compare_v unto_o the_o proper_a pole_n see_v from_o they_o it_o be_v equidistant_a according_a to_o each_o part_n as_o the_o equinoctial_a from_o the_o pole_n of_o the_o world_n yet_o compare_v unto_o the_o pole_n of_o the_o world_n in_o that_o the_o
one_o half_a of_o it_o decline_v unto_o the_o north_n and_o the_o other_o unto_o the_o south_n and_o see_v upon_o these_o it_o be_v thwart_o draw_v by_o the_o daily_a motion_n unto_o the_o move_n of_o the_o orb_n in_o which_o it_o be_v in_o this_o respect_n be_v the_o circle_n name_v thwart_v 3_o this_o circle_n be_v also_o call_v signifere_o of_o the_o 12._o sign_n carry_v in_o it_o with_o the_o which_o the_o zodiac_n be_v describe_v or_o for_o that_o this_o circle_n be_v divide_v into_o twelve_o equal_a part_n which_o be_v call_v sign_n and_o each_o have_v a_o name_n of_o some_o proper_a beast_n or_o for_o the_o dispose_n of_o star_n be_v in_o the_o sign_n or_o for_o some_o property_n common_a to_o the_o beast_n and_o sign_n which_o ptolemy_n name_v the_o orb_n of_o the_o sign_n pliny_n capella_n and_o sundry_a poet_n do_v name_n signifere_v but_o aristotle_n name_v a_o thwart_a circle_n in_o that_o it_o do_v thwart_o cross_a the_o equatour_n as_o witness_v proclus_n what_o be_v the_o cause_n of_o the_o thwartnesse_n of_o the_o zodiac_n 1_o there_o be_v two_o cause_n why_o the_o zodiac_n be_v thwart_v the_o one_o be_v that_o the_o nether_a sphere_n upon_o the_o other_o exetrée_n and_o pole_n may_v be_v carry_v contrary_a to_o the_o motion_n of_o the_o first_o mover_n 2_o the_o other_o be_v that_o there_o may_v be_v diversity_n of_o time_n and_o variety_n of_o quality_n and_o tempearance_n that_o the_o sun_n also_o may_v wander_v and_o go_v about_o diverse_a part_n of_o the_o earth_n run_v in_o the_o thwart_a circle_n whereof_o aristotle_n write_v that_o it_o be_v necessary_a that_o the_o proper_a motion_n in_o the_o zodiac_n be_v unlike_a to_o the_o motion_n of_o the_o first_o mover_n that_o it_o may_v thereby_o cause_v the_o variety_n of_o cresent_a or_o grow_a thing_n for_o if_o there_o be_v only_o one_o motion_n there_o shall_v no_o variety_n of_o grow_a thing_n be_v cause_v 3_o a_o like_a reason_n to_o this_o that_o of_o the_o same_o one_o part_n of_o it_o do_v draw_v nigh_o to_o the_o top_n and_o high_a over_o our_o head_n and_o the_o other_o that_o it_o be_v remove_v and_o distant_a from_o we_o do_v cause_n most_o common_o the_o diversity_n in_o effect_n which_o unto_o the_o life_n of_o thing_n be_v requisite_a as_o for_o example_n when_o the_o sun_n be_v in_o the_o northerly_a half_n of_o this_o circle_n and_o near_o the_o zenith_n and_o high_a over_o our_o head_n he_o do_v cause_v a_o strong_a and_o mighty_a heat_n on_o all_o thing_n of_o the_o earth_n as_o by_o trial_n we_o find_v and_o see_v in_o the_o summer_n if_o therefore_o the_o zodiac_n be_v not_o thwart_v but_o shall_v equal_o approach_v or_o draw_v nigh_o according_a to_o all_o the_o part_n of_o it_o than_o shall_v the_o sun_n be_v always_o a_o like_a near_o us._n and_o when_o in_o a_o short_a time_n of_o summer_n he_o shall_v cause_v such_o a_o heat_n that_o his_o heat_n undoubted_o shall_v be_v so_o mighty_a that_o nothing_o shall_v grow_v or_o be_v increase_v but_o that_o those_o thing_n already_o grow_v up_o and_o dry_v shall_v be_v consume_v and_o burn_v up_o wherefore_o the_o zodiac_n be_v thwart_o place_v that_o the_o sun_n move_v into_o the_o further_a half_o his_o heat_n may_v thereby_o be_v slake_v and_o weaken_v in_o which_o he_o be_v carry_v depart_v from_o our_o zenith_n and_o cold_a then_o take_v place_n as_o appeareth_z in_o the_o winter_n and_o if_o the_o sun_n shall_v continual_o run_v in_o the_o south_n part_n of_o the_o zodiac_n then_o through_o extremity_n of_o cold_a shall_v all_o thing_n be_v destroy_v in_o the_o north_n part_n and_o as_o neither_o heat_n nor_o cold_a be_v continual_a but_o successive_o as_o those_o which_o be_v engender_v and_o cause_v by_o heat_n and_o consume_v by_o cold_a so_o that_o the_o sun_n procure_v by_o come_v nigh_o and_o go_v from_o we_o in_o the_o zodiac_n that_o it_o behove_v the_o zodiac_n to_o be_v thwart_v also_o a_o diversity_n of_o the_o planet_n in_o the_o zodiac_n to_o conclude_v we_o see_v that_o by_o the_o come_n of_o the_o sun_n to_o we_o generation_n be_v cause_v &_o by_o his_o departure_n from_o we_o thing_n wither_v and_o dry_v this_o circle_n call_v the_o zodiac_n according_a to_o longitude_n be_v divide_v into_o twelve_o part_n or_o sign_n and_o neither_o more_o nor_o few_o and_o according_a to_o latitude_n or_o breadth_n into_o 12._o degree_n this_o circle_n divide_v into_o twelve_o sign_n in_o that_o of_o the_o ancient_n it_o have_v be_v note_v that_o in_o every_o revolution_n of_o the_o sun_n the_o moon_n be_v twelve_o time_n change_v and_o new_a and_o so_o many_o time_n have_v he_o full_a light_n and_o that_o so_o many_o change_n and_o full_a moon_n do_v happen_v within_o the_o compass_n of_o one_o year_n by_o which_o it_o please_v they_o to_o divide_v the_o zodiac_n into_o so_o many_o part_n according_a to_o length_n but_o the_o division_n of_o the_o breadth_n have_v another_o cause_n that_o be_v of_o the_o other_o planet_n except_o the_o sun_n diverse_o wander_v from_o the_o same_o circle_n to_o be_v brief_a this_o whole_a circle_n be_v divide_v into_o 360._o degree_n for_o the_o commodity_n of_o this_o number_n in_o that_o the_o day_n of_o the_o year_n exceed_v this_o number_n by_o certain_a part_n for_o the_o common_a year_n have_v 365._o day_n and_o 6._o hour_n there_o be_v a_o latitude_n atribute_v to_o the_o zodiac_n by_o which_o it_o differ_v from_o the_o other_o circle_n in_o that_o they_o be_v describe_v with_o one_o simple_a compass_n that_o it_o may_v by_o the_o large_a space_n contain_v the_o wander_a of_o the_o planette_n on_o either_o side_n the_o ecclipticke_a line_n lest_o they_o shall_v excee_v the_o bond_n yet_o the_o sun_n keep_v one_o manner_n of_o way_n and_o journey_n continual_o in_o the_o middle_n of_o the_o zodiac_n and_o never_o decline_v from_o it_o neither_o unto_o the_o right_a nor_o left_a side_n but_o still_o keep_v his_o proper_a place_n immovable_a both_o in_o the_o rise_n and_o set_v in_o either_o quarter_n and_o be_v all_o alike_o in_o the_o winter_n and_o summer_n season_n the_o declination_n also_o of_o the_o sun_n do_v show_n and_o appear_v to_o be_v equal_a be_v on_o either_o side_n the_o equator_fw-la so_o these_o do_v witness_n that_o the_o sun_n continual_o 〈◊〉_d his_o yearly_a motion_n describe_v and_o keep_v under_o that_o line_n name_v the_o ecclipticke_a but_o the_o other_o planet_n do_v neither_o keep_v continual_o the_o sun_n way_n nor_o be_v draw_v in_o a_o right_a path_n like_o he_o but_o digress_v on_o either_o side_n the_o sun_n way_n do_v wander_v the_o zodiac_n by_o a_o crooked_a or_o bend_a course_n as_o one_o while_o move_v into_o the_o north_n and_o a_o otherwhiles_o into_o the_o south_n and_o from_o thence_o return_v unto_o the_o sun_n way_n as_o the_o like_a knowledge_n may_v be_v have_v and_o discern_v by_o the_o eye_n for_o this_o cause_n the_o learned_a practisioner_n describe_v the_o sun_n course_n in_o the_o middle_a place_n of_o the_o zodiac_n and_o imagine_v from_o it_o a_o latitude_n to_o be_v attribute_v to_o the_o zodiac_n which_o the_o ancient_a astronomer_n determine_v to_o be_v of_o either_o side_n 6._o degree_n but_o the_o late_a writer_n have_v increase_v the_o same_o by_o add_v twoe_o degree_n to_o either_o side_n through_o the_o digression_n of_o mars_n and_o venus_n from_o the_o sun_n way_n which_o have_v be_v observe_v and_o note_v to_o digress_v and_o decline_v little_a less_o than_o eight_o degree_n so_o that_o the_o latitude_n of_o the_o whole_a zodiac_n in_o our_o time_n be_v conclude_v and_o agree_v to_o be_v of_o 16._o degree_n and_o the_o latitude_n be_v reach_v on_o either_o side_n from_o the_o middle_a space_n of_o the_o sun_n circle_v toward_o the_o pole_n of_o the_o zodiac_n eight_o degree_n the_o beginning_n of_o the_o longitude_n of_o the_o zodiac_n although_o in_o the_o compass_n of_o the_o circle_n neither_o the_o beginning_n nor_o end_n can_v be_v assign_v which_o bend_v or_o be_v draw_v perfect_o round_a into_o itself_o and_o both_o close_v and_o contain_v itself_o yet_o the_o practisioner_n have_v assign_v by_o the_o principal_a and_o most_o ancient_a doctrine_n of_o the_o godly_a father_n to_o be_v in_o the_o poiut_a of_o the_o equinoctial_a spring_n which_o be_v by_o the_o sun_n come_v unto_o the_o equinoctial_a point_n or_o true_a by_o the_o change_n of_o the_o moon_n that_o follow_v next_o the_o equinoctial_a spring_n be_v not_o to_o be_v doubt_v that_o the_o year_n then_o begin_v so_o that_o they_o begin_v to_o reckon_v the_o zodiac_n from_o that_o point_n where_o the_o motion_n and_o working_n of_o the_o sun_n the_o author_n and_o shower_n of_o the_o yearly_a space_n ensue_v which_o after_o the_o day_n and_o
night_n be_v alike_o the_o day_n increase_v and_o he_o ascend_v to_o we_o ward_n do_v after_o abate_v the_o cold_a on_o the_o earth_n and_o both_o slake_v and_o melt_v the_o frost_n and_o ice_n and_o the_o hide_a virtue_n again_o of_o the_o earth_n he_o than_o begin_v to_o loose_v open_a cherish_v and_o stir_v up_o by_o his_o lively_a heat_n and_o both_o lose_v and_o shed_v forth_o the_o due_a moisture_n enclose_v and_o draw_v uppe_o and_o procure_v young_a plant_n to_o spring_n through_o his_o comfortable_a warmth_n daily_o show_v upon_o the_o earth_n they_o divide_v the_o whole_a zodiac_n according_a to_o length_n into_o twelve_o equal_a part_n which_o they_o name_v sign_n through_o the_o moon_n as_o guide_v and_o ruler_n of_o the_o same_o which_o pass_v yearly_a by_o the_o zodiac_n 13._o time_n to_o the_o sun_n slow_a go_v twelve_o time_n &_o conjoin_v with_o he_o in_o twelve_o place_n of_o heaven_n those_o sign_n the_o ancient_a greek_n name_v zòdia_fw-la either_o by_o the_o figure_n of_o creature_n which_o the_o fix_a star_n in_o their_o stand_a show_n and_o express_v or_o by_o some_o natural_a agreement_n they_o so_o assign_v name_n to_o they_o or_o else_o they_o appoint_v the_o name_n of_o beast_n to_o the_o sign_n through_o the_o congruent_a nature_n betwixt_o star_n and_o beast_n also_o through_o the_o effect_n which_o the_o sun_n have_v in_o those_o place_n beside_o these_o the_o ancient_a astronomer_n describe_v the_o other_o star_n without_o the_o zodiac_n by_o image_n that_o place_v into_o image_n they_o may_v be_v the_o commodious_a teach_v and_o express_v in_o heaven_n to_o the_o understanding_n of_o young_a student_n and_o that_o their_o rise_n and_o set_v may_v also_o be_v the_o more_o ready_o demonstrate_v ptolemy_n name_v those_o dodekatemòria_n that_o be_v the_o twelve_o part_n the_o latin_n call_v they_o sign_n and_o constellation_n also_o they_o name_v those_o part_n sign_n for_o that_o in_o those_o twelve_o part_n all_o the_o season_n of_o the_o year_n be_v note_v again_o they_o name_v the_o part_n of_o the_o sign_n degree_n of_o the_o daily_a journey_n of_o the_o sun_n in_o the_o zodiac_n for_o that_o in_o journey_v by_o little_a and_o little_a he_o pass_v through_o the_o whole_a zodiac_n they_o also_o divide_v each_o sign_n into_o 30._o part_n or_o degree_n through_o the_o sun_n daily_a journey_n gain_v of_o the_o first_o mover_n which_o in_o thirty_o day_n they_o declare_v by_o experience_n to_o have_v measure_v and_o go_v almost_o a_o twelve_o part_n of_o the_o zodiac_n or_o for_o that_o the_o space_n from_o one_o conjunction_n unto_o a_o other_o be_v of_o 30._o day_n which_o space_n of_o all_o writer_n be_v name_v a_o month_n or_o else_o in_o that_o the_o sun_n by_o the_o same_o number_n of_o day_n have_v measure_v almost_o this_o ark_n or_o space_n of_o the_o zodiac_n whereof_o they_o name_v the_o self_n same_o the_o thirty_o part_n of_o a_o sign_n through_o the_o sun_n motion_n every_o 24._o hour_n which_o the_o late_a latin_v call_v degree_n and_o the_o greek_n merè_fw-la that_o the_o ancient_a call_v part_n but_o the_o ten_o part_n or_o degree_n of_o every_o sign_n the_o greek_n name_n dekata_n and_o the_o latin_n face_n of_o which_o each_o sign_n do_v contain_v three_o the_o name_n and_o character_n of_o the_o sign_n of_o the_o zodiac_n be_v these_o ♈_o aries_n ♉_o taurus_n ♊_o gemini_fw-la ♋_o cancer_n ♌_o leo_n ♍_o virgo_fw-la these_o in_o that_o they_o make_v the_o half_a circle_n of_o the_o zodiac_n decline_v into_o the_o north_n from_o the_o equatoure_n therefore_o do_v they_o name_v they_o the_o boreall_n and_o northerly_a sign_n the_o name_n and_o character_n of_o the_o other_o sign_n of_o the_o zodiac_n be_v these_o libra_n ♎_o scorpio_n ♏_o sagitarius_n ♐_o capricornus_fw-la ♑_o aquarius_n ♒_o pisces_fw-la ♓_o these_o in_o that_o they_o possess_v the_o opposite_a place_n and_o the_o half_a circle_n reach_v into_o the_o south_n of_o the_o zodiac_n therefore_o do_v they_o name_v they_o the_o meridional_a and_o southerly_a sign_n the_o sun_n also_o iourney_v by_o these_o sign_n as_o from_o the_o west_n into_o the_o east_n by_o a_o contrary_a order_n to_o the_o first_o mover_n as_o this_o figure_n plain_o demonstrate_v beginning_n nevertheless_o at_o aries_n and_o from_o aries_n pass_v into_o taurus_n and_o from_o taurus_n into_o gemini_fw-la and_o so_o to_o the_o end_n of_o the_o sign_n they_o divide_v each_o sign_n into_o 30._o degree_n of_o length_n in_o that_o the_o whole_a zodiac_n like_a as_o the_o other_o great_a or_o lesser_a circle_n contain_v 363._o part_n or_o degree_n and_o as_o the_o zodiac_n have_v in_o length_n 12._o sign_n even_o so_o it_o be_v requisite_a the_o same_o shall_v be_v so_o many_o degree_n broad_a as_o capella_n write_v and_o as_o a_o degree_n be_v in_o the_o sign_n the_o thirty_o part_n or_o length_n the_o compass_n of_o the_o whole_a zodiac_n shall_v be_v the_o like_a in_o breadth_n although_o mars_n and_o venus_n do_v sometime_o digress_v from_o those_o bond_n yet_o that_o excess_n be_v little_a and_o very_o seldom_o and_o there_o can_v be_v no_o other_o reason_n of_o the_o same_o then_o that_o such_o a_o latitude_n be_v permit_v or_o assign_v to_o the_o zodiac_n to_o this_o demand_n why_o there_o be_v only_o twelve_o sign_n and_o no_o more_o do_v albumase_a answer_n affirm_v that_o the_o first_o observer_n of_o the_o star_n note_v 48._o image_n in_o the_o 8._o heaven_n place_v and_o deck_v with_o the_o star_n that_o represent_v sundry_a form_n and_o call_v by_o they_o for_o the_o form_n stand_v or_o nature_n of_o the_o star_n of_o which_o they_o appoint_v 12._o for_o the_o sun_n way_n and_o therefore_o so_o many_o be_v the_o sign_n of_o the_o zodiac_n but_o here_o may_v be_v demand_v where_o the_o circumference_n of_o the_o zodiac_n be_v to_o which_o be_v thus_o answer_v that_o all_o the_o circumference_n of_o the_o circle_n imagine_v be_v in_o that_o hollow_a of_o the_o first_o heaven_n and_o likewise_o the_o sign_n be_v conceive_v there_o to_o be_v and_o where_o the_o sign_n with_o the_o image_n of_o the_o eight_o sphere_n be_v movable_a and_o the_o star_n in_o they_o separate_v after_o a_o time_n yet_o the_o number_n and_o name_n both_o of_o the_o sign_n and_o image_n remain_v so_o that_o it_o be_v not_o material_a if_o that_o the_o starry_a aries_n separate_v from_o the_o first_o aries_n of_o the_o zodiac_n and_o the_o other_o sign_n the_o like_a from_o one_o another_o by_o a_o most_o slow_a course_n be_v carry_v and_o separate_v the_o ancient_a man_n divide_v the_o part_n or_o degree_n of_o the_o sign_n into_o lesser_a portion_n for_o the_o better_a attain_v the_o precise_a point_n in_o the_o sun_n place_n so_o that_o they_o appoint_v to_o each_o degree_n 60._o minute_n to_o each_o minute_n 60._o second_n to_o each_o second_o 60._o thirdes_o etc._n etc._n for_o the_o infinite_a commodity_n of_o the_o number_n in_o calculate_v by_o reason_n of_o multiplication_n and_o division_n they_o also_o divide_v the_o sign_n after_o two_o condition_n as_o in_o the_o stand_n and_o quality_n in_o the_o stand_n they_o distinguish_v they_o into_o principal_n fix_v and_o common_a sign_n the_o principal_a and_o movable_a sign_n be_v those_o which_o nigh_a succeed_v the_o four_o principal_a point_n of_o the_o zodiac_n of_o which_o two_o possess_v the_o equinoctial_a point_n of_o the_o whole_a circle_n as_o aries_n and_o libra_n the_o other_o twoe_o nigh_a to_o the_o solstitial_a point_n be_v name_v the_o tropicke_n as_o cancer_n and_o capricornus_fw-la the_o firm_a or_o fix_a sign_n next_o to_o the_o principal_a be_v taurus_n leo_n virgo_fw-la and_o aquarius_n the_o common_a or_o mean_v or_o of_o two_o body_n be_v the_o other_o four_o which_o place_v as_o in_o the_o middle_n between_o the_o principal_a and_o fix_a sign_n do_v so_o obtain_v a_o common_a nature_n of_o both_o as_o gemini_fw-la virgo_fw-la sagitarius_n and_o pisces_fw-la in_o the_o quality_n they_o assign_v they_o into_o four_o trient_n which_o the_o latin_n name_n tryangle_n and_o three_o corner_a the_o common_a writer_n name_v triangularites_n or_o tripli_v '_o city_n the_o first_o trient_a contain_v aries_n leo_n and_o sagitarius_n which_o be_v by_o the_o space_n of_o four_o sign_n inclusive_o distant_a or_o of_o 120._o degree_n that_o be_v hot_a and_o dry_a fiery_a choleric_a and_o masculine_a the_o second_o tyient_n comprehend_v taurus_n virgo_fw-la and_o capricornus_fw-la which_o be_v distant_a by_o the_o like_a space_n be_v cold_a and_o dry_a earthly_a melancholic_a and_o feminine_a the_o three_o trient_a have_v libra_n gemini_fw-la and_o aquarius_n which_o be_v distant_a by_o the_o space_n of_o four_o sign_n be_v hot_a and_o moist_a sanguine_a aereall_a and_o masculine_a the_o four_o trigon_n or_o trient_a do_v contain_v
cancer_n scorpio_n and_o pisces_fw-la which_o be_v distant_a by_o the_o space_n of_o four_o sign_n and_o be_v in_o quality_n cold_a and_o moist_a watery_a phlegmatic_a and_o feminine_a all_o which_o sign_n be_v agree_v to_o the_o four_o element_n in_o their_o quality_n of_o the_o ecclipticke_a line_n or_o way_n of_o the_o sun_n here_o it_o be_v diligent_o to_o be_v consider_v and_o note_v that_o it_o behove_v not_o only_o to_o know_v and_o understand_v the_o place_n of_o the_o planet_n in_o the_o zodiac_n according_a to_o the_o longitude_n of_o the_o same_o but_o also_o to_o learn_v and_o find_v their_o place_n according_a to_o latitude_n whether_o they_o be_v in_o that_o part_n of_o the_o zodiac_n which_o bend_v or_o decline_v into_o the_o north_n or_o in_o that_o part_n which_o lean_v into_o the_o south_n which_o the_o better_a to_o understand_v and_o know_v the_o ancient_a astronomer_n imagine_v a_o certain_a line_n go_v round_o about_o the_o zodiac_n and_o devide_v the_o same_o after_o length_n by_o the_o middle_n in_o such_o sort_n that_o it_o part_v and_o leave_v eight_o degree_n towards_o the_o north_n &_o as_o many_o towards_o the_o south_n so_o that_o this_o line_n be_v a_o great_a circle_n devide_v the_o latitude_n of_o the_o zodiac_n into_o twoe_o equal_a half_n and_o have_v sundry_a name_n as_o the_o sun_n way_n the_o sun_n ●yr●uite_o the_o sun_n journey_n the_o sun_n place_n the_o sun_n circle_n the_o ecclipticke_a line_n and_o the_o ecclipticke_a place_n this_o line_n name_v the_o sun_n way_n in_o that_o the_o sun_n keep_v always_o the_o middle_n under_o this_o line_n not_o digress_v to_o the_o one_o side_n nor_o other_o but_o describe_v the_o same_o in_o his_o yearly_a motion_n but_o the_o other_o planet_n do_v wander_v one_o while_o under_o it_o and_o a_o other_o while_n on_o either_o ●oe_n which_o if_o a_o planet_n tend_v in_o that_o part_n of_o the_o latitude_n which_o be_v unto_o the_o north_n wander_v there_o he_o be_v then_o name_v to_o have_v a_o latitude_n northerly_a as_o to_o we_o dwell_v northward_o but_o if_o on_o the_o other_o side_n they_o have_v a_o latitude_n southerly_a then_o be_v they_o name_v descend_v and_o run_v low_o and_o by_o the_o like_a reason_n the_o same_o line_n be_v name_v the_o sun_n journey_n also_o of_o cleomedes_n call_v the_o sun_n circle_n in_o that_o under_o the_o same_o the_o sun_n continual_o run_v and_o he_o alone_o be_v draw_v by_o the_o middle_n of_o the_o zodiac_n never_o wander_v into_o the_o north_n nor_o south_n part_n from_o that_o line_n as_o we_o have_v afore_o write_v but_o continual_o iourney_v about_o by_o the_o middle_n of_o it_o so_o that_o of_o the_o same_o it_o be_v call_v the_o sun_n circle_n it_o be_v name_v the_o sun_n place_n in_o that_o under_o this_o circle_n the_o sun_n continual_o abide_v to_o conclude_v it_o be_v name_v by_o the_o usual_a name_n the_o ecclipticke_a line_n for_o that_o no_o eclipse_n or_o abate_v of_o the_o sun_n or_o moon_n light_n happen_v but_o when_o the_o sun_n and_o moon_n be_v linal_o under_o that_o line_n or_o near_o come_v unto_o the_o moon_n as_o in_o the_o same_o degree_n right_a against_o for_o in_o the_o same_o degree_n at_o the_o change_n be_v the_o moon_n come_v right_a between_o our_o sight_n and_o the_o sun_n body_n thereby_o abate_v his_o light_n but_o the_o eclipse_n of_o the_o moon_n happen_v at_o the_o full_a when_o as_o the_o sun_n be_v right_a against_o the_o moon_n &_o that_o the_o shadow_n of_o the_o earth_n fall_v between_o both_o whereby_o the_o moon_n light_n be_v darken_v so_o that_o the_o moon_n eclipse_n be_v none_o other_o than_o the_o fall_n of_o the_o earth_n shadow_n between_o the_o sun_n and_o moon_n the_o measure_n of_o the_o large_a space_n of_o either_o side_n occupy_v by_o the_o planet_n limit_v and_o include_v by_o twoe_o line_n and_o the_o three_o draw_v or_o describe_v by_o the_o middle_n be_v name_v the_o ecclipticke_a line_n and_o sun_n place_n the_o eccliptick_a line_n be_v a_o great_a circle_n consist_v in_o the_o middle_n of_o the_o zodiac_n and_o devide_v it_o into_o twoe_o equal_a compass_n define_v to_o be_v eight_o degree_n in_o breadth_n on_o either_o side_n which_o the_o sun_n make_v by_o a_o yearly_a motion_n go_v thwart_o in_o one_o continual_a way_n be_v divide_v by_o the_o four_o principal_a point_n as_o the_o two_o equinoctial_o and_o the_o solstice_n into_o four_o quarter_n for_o as_o the_o whole_a zodiac_n even_o so_o the_o eccliptick_a to_o the_o equatour_n rest_v as_o it_o be_v in_o two_o only_a point_n but_o in_o the_o rest_n of_o the_o circle_n it_o bend_v ●●om_o either_o point_n towards_o the_o opposite_a pole_n of_o the_o world_n decline_v by_o the_o one_o half_a circle_n into_o the_o north_n and_o by_o the_o other_o half_n into_o the_o south_n the_o point_n that_o touch_v be_v the_o equinoctial_a as_o we_o have_v above_o write_v but_o the_o other_o two_o further_a distant_a from_o the_o equatoure_n which_o be_v as_o mark_n or_o bound_n for_o the_o sun_n departure_n that_o when_o he_o come_v to_o the_o one_o he_o be_v carry_v no_o further_o but_o stay_v there_o and_o from_o thence_o draw_v unto_o the_o contrary_n bind_v through_o which_o turn_v back_o of_o the_o sun_n they_o be_v name_v the_o tropicke_n of_o the_o greek_n and_o of_o the_o latin_n the_o solsticiall_a point_n not_o for_o that_o the_o sun_n be_v carry_v unto_o they_o stay_v and_o remain_v any_o space_n but_o never_o rest_v nor_o leave_v of_o his_o course_n see_v within_o certain_a day_n the_o meridiane_a or_o noon_n shadow_n be_v vary_v the_o day_n &_o night_n space_n either_o lengthen_v and_o increase_v or_o decrease_v and_o shorten_v notable_o as_o the_o like_a be_v yearly_a see_v of_o these_o that_o which_o in_o the_o northerly_a half_a circle_n be_v further_a distant_a from_o the_o equatoure_n name_v the_o point_n of_o the_o summer_n solstice_n the_o other_o stand_v or_o be_v right_o against_o that_o the_o point_n of_o the_o winter_n solstice_n these_o point_n change_v their_o place_n two_o manner_n of_o way_n as_o well_o according_a to_o length_n of_o the_o zodiac_n by_o creep_v further_o in_o the_o before_o go_v as_o in_o go_v to_o and_o come_v short_a unto_o the_o equatoure_n first_o that_o the_o equinoctial_a point_n do_v over_o go_v the_o place_n of_o the_o fix_a star_n against_o the_o order_n and_o course_n of_o the_o sign_n and_o therefore_o do_v the_o day_n of_o the_o solstice_n begin_v and_o go_v before_o for_o the_o summer_n solstice_n about_o the_o begin_n of_o olimpias_n the_o first_o day_n of_o july_n which_o begin_v the_o year_n with_o the_o greek_n at_o the_o morning_n rise_v of_o that_o constellation_n syrius_n be_v notable_o know_v to_o many_o but_o in_o the_o year_n of_o christ_n birth_n it_o happen_v in_o the_o 24._o day_n of_o june_n and_o in_o the_o year_n 1570._o it_o happen_v in_o the_o 12._o day_n of_o june_n about_o 11._o of_o the_o clock_n before_o noon_n the_o winter_n solstice_n in_o the_o first_o beginning_n of_o olympias_n happen_v the_o first_o day_n of_o january_n or_o there_o about_o in_o the_o year_n of_o christ_n birth_n it_o happen_v the_o 15._o day_n of_o decmber_n in_o which_o day_n at_o the_o hour_n of_o 12._o in_o the_o night_n they_o affirm_v our_o saviour_n to_o be_v bear_v the_o same_o winter_n solstice_n happen_v in_o the_o same_o year_n 1570._o on_o the_o 12._o day_n of_o december_n about_o 2._o of_o the_o clock_n at_o after_o noon_n in_o the_o second_o then_o happen_v unto_o the_o equatoure_n by_o the_o ecclipticke_a as_o it_o be_v wind_v and_o remove_v again_o in_o the_o same_o depart_n for_o the_o observation_n of_o many_o time_n do_v witness_v that_o the_o arcke_n of_o the_o colour_n of_o the_o solstice_n reach_v to_o these_o point_n and_o equatoure_n which_o they_o name_v the_o sun_n great_a thwartnesse_n or_o declination_n be_v deminish_v by_o little_a &_o little_a for_o before_o ptholomies_n time_n by_o forty_o year_n aristarchus_n samius_n find_v the_o same_o to_o be_v of_o 23._o degree_n 52._o minute_n and_o 20._o second_n and_o ptolemy_n note_v that_o he_o find_v it_o to_o be_v just_a much_o mahomates_n aratensir_fw-fr which_o be_v after_o ptolemy_n 749._o year_n find_v this_o declination_n to_o be_v of_o 23._o degree_n and_o 35._o minute_n arzahell_n the_o spaniard_n that_o be_v 190._o year_n after_o albategnius_n find_v it_o to_o be_v of_o 23._o degree_n and_o 34._o minute_n prophatius_fw-la judius_fw-la which_o be_v 230._o year_n after_o arzahell_n find_v this_o declination_n to_o be_v of_o 23._o degree_n and_o ●2_n minute_n dominicus_n maria_n be_v in_o the_o year_n of_o christ_n 1491._o find_v this_o declination_n to_o be_v of_o 23._o degree_n and_o 29._o minute_n vueruerus_n be_v
the_o plain_a of_o the_o same_o the_o description_n name_n and_o office_n of_o the_o meridiane_a circle_n and_o horizont_a the_o four_o great_a circle_n which_o we_o have_v already_o describe_v that_o with_o the_o motion_n of_o the_o sphere_n be_v draw_v about_o and_o every_o where_o be_v alike_o which_o the_o other_o twoe_o circle_n be_v contrary_a as_o the_o meridiane_n and_o horizont_n that_o be_v not_o turn_v in_o the_o draw_v about_o of_o the_o sphere_n but_o remain_v as_o immovable_a and_o fix_v neither_o be_v they_o alike_o in_o all_o place_n but_o be_v continual_o change_v stand_v or_o place_v on_o the_o earth_n in_o that_o all_o place_n have_v their_o proper_a meridians_fw-la and_o horizont_v for_o both_o by_o a_o mutual_a touch_v and_o join_v together_o do_v make_v right_a angle_n and_o they_o continual_o divide_v the_o whole_a heaven_n into_o four_o equal_a part_n and_o make_v the_o four_o angle_n and_o quarter_n of_o heaven_n unto_o which_o by_o a_o continual_a turn_n about_o of_o heaven_n both_o the_o one_o and_o the_o other_o star_n as_o it_o be_v by_o a_o orderly_a succession_n draw_v work_n and_o send_v forth_o their_o virtue_n more_o effectuous_a and_o excercise_n their_o quality_n in_o the_o element_n then_o in_o any_o other_o place_n especial_o the_o sun_n be_v draw_v unto_o those_o bond_n for_o he_o both_o begin_v and_o end_v the_o day_n and_o night_n and_o distinguish_v they_o equal_o as_o it_o be_v in_o the_o middle_a parcel_n of_o time_n the_o sun_n also_o come_v unto_o the_o meridian_n do_v then_o more_o heat_n dry_v up_o and_o consume_v vapour_n the_o meridiane_a of_o any_o place_n be_v a_o great_a circle_n which_o go_v or_o reach_v by_o the_o pole_n of_o the_o world_n and_o height_n of_o any_o place_n and_o for_o that_o it_o pass_v by_o the_o pole_n of_o the_o equatour_n parallel_n and_o the_o horizont_n through_o the_o same_o do_v it_o make_v right_a angle_n with_o they_o and_o of_o this_o it_o devide_v all_o the_o ark_n of_o the_o parallel_n as_o well_o in_o sight_n as_o not_o in_o sight_n into_o two_o equal_a half_n this_o circle_n have_v sundry_a name_n for_o varro_n name_v it_o the_o meridian_n or_o midday_n circle_n of_o the_o noonestéed_n in_o that_o when_o the_o sun_n be_v in_o the_o meridian_n or_o any_o other_o star_n above_o the_o earth_n then_o have_v it_o perform_v half_o the_o day_n ark_n and_o be_v then_o at_o the_o bind_v of_o the_o noon_n time_n but_o the_o other_o half_n of_o the_o night_n be_v cause_v at_o the_o instant_a point_n of_o midnight_n the_o half_a then_o reach_v from_o east_n and_o west_n so_o that_o of_o the_o same_o this_o circle_n of_o all_o writer_n in_o this_o science_n name_v the_o meridiane_n but_o of_o ptolemy_n the_o circle_n of_o midday_n and_o middle_a heaven_n by_o the_o same_o reason_n the_o astrologian_n call_v this_o circle_n the_o royal_a cusp_n the_o regal_a quarter_n the_o beginning_n of_o the_o ten_o house_n and_o the_o middle_n of_o heaven_n in_o that_o this_o place_n be_v principal_a and_o of_o worthy_a dignity_n than_o the_o other_o quarter_n of_o which_o shall_v further_o be_v write_v in_o his_o proper_a place_n further_o it_o behove_v by_o the_o addition_n 31._o primi_fw-la theodosij_n that_o the_o equat●ure_n and_o horizont_a in_o the_o contrary_a manner_n to_o pass_v by_o the_o pole_n of_o the_o meridian_n &_o of_o the_o same_o that_o those_o pole_n be_v none_o otherwise_o place_v than_o in_o the_o common_a section_n of_o the_o equatour_n and_o horizont_n by_o which_o section_n &_o by_o those_o pole_n of_o the_o horizont_n be_v a_o certain_a third_o circle_n great_a draw_v which_o johannes_n a_o regio_n monte_fw-fr name_v the_o verticial_a circle_n so_o that_o by_o the_o foresay_a corolary_n or_o addition_n ensue_v that_o of_o these_o three_o circle_n of_o each_o exetrée_n and_o pole_n be_v they_o in_o that_o common_a section_n of_o the_o other_o two_o circle_n like_o as_o of_o the_o equinoctial_a and_o two_o colour_n by_o right_n may_v be_v conclude_v so_o that_o a_o triple_a division_n be_v cause_v by_o the_o three_o circle_n which_o appear_v on_o this_o wise_a that_o as_o the_o meridian_n tend_v by_o our_o top_n and_o height_n from_o the_o south_n into_o the_o north_n even_o so_o by_o the_o same_o top_n it_o behove_v the_o other_o circle_n to_o be_v draw_v and_o pass_v from_o the_o east_n into_o the_o west_n that_o both_o cut_v one_o the_o other_o at_o right_a angle_n shall_v express_v the_o four_o foresay_a quarter_n of_o the_o world_n as_o the_o horizont_n distinguish_v the_o upper_a half_a sphere_n from_o the_o nether_a and_o the_o meridiane_n from_o the_o east_n to_o the_o west_n even_o so_o it_o fall_v out_o that_o the_o third_o circle_n as_o that_o verticiall_a shall_v separate_v the_o northerly_a from_o the_o southerly_a half_a sphere_n to_o these_o while_o any_o stand_v upright_o towards_o the_o welt_n on_o such_o manner_n that_o you_o ●_o middle_n of_o his_o body_n be_v in_o the_o common_a centre_n of_o three_o circle_n then_o do_v the_o horizont_n divide_v his_o upper_a half_n from_o the_o nether_a and_o the_o meridiane_a the_o fore_a part_n from_o the_o hinder_a and_o the_o vertical_a circle_n the_o right_a part_n from_o the_o left_a the_o three_o common_a section_n of_o these_o circle_n be_v their_o exe-trée_n as_o be_v afore_o write_v do_v indicate_v or_o show_v the_o four_o principal_a point_n of_o heaven_n which_o be_v the_o fix_v pole_n of_o the_o circle_n place_v in_o the_o section_n of_o the_o cyrcumference_n as_o the_o high_a or_o low_a point_n which_o be_v the_o pole_n of_o the_o horizont_a the_o point_n also_o most_o easterly_a and_o westerly_a which_o be_v the_o pole_n of_o the_o meridiane_a to_o conclude_v the_o point_n most_o northerly_a and_o southerly_a which_o be_v the_o pole_n of_o the_o verticiall_a circle_n those_o people_n that_o seem_v to_o have_v their_o foot_n against_o we_o in_o respect_n of_o the_o roundness_n of_o the_o earth_n that_o they_o dwell_v as_o it_o be_v under_o we_o have_v alike_o horizont_a agreeable_a to_o we_o alike_o meridian_n and_o alike_o verticial_a circle_n but_o of_o these_o two_o the_o half_a circle_n which_o be_v extant_a to_o we_o be_v hide_v or_o as_o it_o be_v under_o they_o contrariwise_o those_o which_o be_v hide_v to_o we_o be_v to_o they_o extaunt_a the_o point_n also_o high_v to_o we_o be_v low_a to_o they_o contrariwise_o the_o low_a to_o we_o be_v high_a to_o they_o the_o figure_n afore_o place_v do_v plain_a express_v that_o afore_o teach_v where_o the_o letter_n a._n b._n c._n d._n represent_v the_o meridiane_a the_o letter_n b._n e._n d._n f._n the_o horizont_a the_o letter_n f._n a._n e._n c._n the_o vertical_a circle_n the_o letter_n g._n the_o centre_n of_o the_o circle_n and_o world_n the_o letter_n a._n c._n the_o exetrée_n of_o the_o horizont_n the_o letter_n b._n d._n the_o exetrée_n of_o the_o verticiall_a circle_n the_o letter_n e._n f._n the_o exetrée_n of_o the_o meridian_n to_o conclude_v the_o point_n that_o to_o we_o be_v most_o easterly_a be_v to_o they_o most_o westerly_a et_fw-la è_fw-la contrario_fw-la for_o the_o point_n most_o northerly_a and_o southerly_a do_v not_o change_v the_o surname_n except_o you_o listen_v to_o change_v or_o alter_v the_o name_n like_v as_o of_o the_o pole_n of_o the_o world_n for_o that_o which_o be_v to_o we_o apparent_a be_v to_o they_o hide_v and_o contrariwise_o to_o we_o hide_v to_o they_o manifest_v here_o may_v be_v demand_v whether_o that_o point_n of_o heaven_n most_o northerly_a be_v not_o the_o northerly_a pole_n of_o the_o world_n and_o that_o point_v most_o southerly_a the_o southerly_a pole_n of_o the_o world_n to_o which_o be_v thus_o answer_v that_o if_o regard_v be_v have_v unto_o the_o equatoure_n and_o right_a horizont_n which_o pass_v by_o the_o pole_n of_o the_o world_n and_o have_v the_o equatour_n for_o the_o verticiall_a or_o in_o steed_n of_o the_o verticiall_a circle_n but_o we_o which_o have_v not_o the_o pole_n of_o the_o world_n in_o the_o horizont_n in_o who_o cyrcumference_n these_o four_o principal_a point_n of_o the_o east_n west_n north_n and_o south_n be_v accustom_v to_o be_v note_v be_v force_v to_o call_v that_o northerly_a section_n of_o the_o meridiane_a and_o horizont_a the_o most_o northerly_a point_n and_o that_o section_n right_a against_o the_o most_o southerly_a point_n for_o in_o every_o place_n there_o be_v two_o section_n which_o the_o meridiane_n and_o verticiall_a circle_n do_v make_v with_o the_o horizont_n which_o be_v two_o right_a section_n in_o the_o plain_a of_o that_o horizont_n cut_v at_o right_n angle_v one_o a_o other_o in_o the_o centre_n that_o express_a and_o show_v those_o four_o quarter_n of_o the_o world_n from_o which_o the_o principal_a wind_n blow_v as_o east_n west_n
subtract_v the_o right_a ascension_n of_o y_fw-fr e_o west_n part_n from_o the_o right_a ascension_n of_o the_o mid_a heaven_n or_o noonestead_n and_o the_o remainder_n or_o rest_n as_o afore_o teach_v be_v distribute_v into_o three_o equal_a part_n after_o that_o in_o the_o end_n of_o the_o first_o portion_n from_o the_o noonstead_o towards_o the_o west_n the_o ancient_n constitute_v or_o place_v the_o bind_v of_o the_o nine_o house_n with_o the_o circle_n come_v from_o the_o pole_n of_o y_fw-fr e_o world_n and_o in_o the_o bind_v of_o the_o second_o portion_n be_v the_o beginning_n of_o the_o eight_o house_n form_v these_o attain_v the_o degree_n and_o part_n of_o the_o degree_n of_o the_o zodiac_n answer_v to_o each_o arke_n of_o the_o equatoure_n be_v seek_v in_o the_o table_n of_o the_o right_a sphere_n but_o the_o house_n stand_v under_o be_v define_v and_o make_v like_o to_o their_o opposite_n and_o see_v this_o manner_n of_o form_v the_o house_n be_v unperfect_a therefore_o shall_v here_o no_o further_o be_v teach_v of_o the_o same_o in_o which_o a_o e._n be_v the_o vertical_a circle_n cross_v a_o d_o e_o c._n at_o right_a angle_n f_o g_o b._n the_o equatour_n do_v g_o c._n the_o horizon_n d._n and_o c._n be_v the_o point_n in_o which_o the_o distinguisher_n of_o the_o house_n concur_v and_o meet_v which_o also_o do_v make_v equal_a distinction_n in_o the_o vertical_a circle_n and_o thereby_o be_v the_o house_n note_v and_o divide_v but_o the_o late_a astronomer_n move_v by_o the_o authority_n of_o the_o incomparable_a mathematician_n regiomontanus_n inurnt_v and_o devise_v another_o order_n of_o the_o house_n more_o agree_v to_o reason_n than_o the_o former_a for_o they_o divide_v the_o quarter_n of_o the_o equatour_n comprehend_v between_o the_o horizon_n and_o noonstead_o into_o three_o equal_a space_n and_o by_o each_o section_n they_o imagine_v great_a circle_n join_v in_o the_o section_n of_o the_o meridian_n and_o horizon_n as_o the_o former_a although_o all_o these_o be_v plain_o and_o more_o evident_o teach_v and_o know_v in_o the_o material_a sphere_n yet_o we_o think_v good_a to_o speak_v somewhat_o as_o our_o possibility_n serve_v in_o plain_a form_n wherefore_o grant_v that_o a_o f_o c._n be_v the_o meridian_n a._n the_o top_n n._n the_o northerly_a pole_n k._n the_o southerly_a pole_n b._n and_o c._n the_o point_n of_o the_o section_n of_o the_o horizon_n and_o meridian_n where_o the_o distinguisher_n of_o the_o house_n concur_v and_o meet_v which_o also_o be_v imagine_v by_o the_o equal_a distinction_n of_o the_o equatour_n e_o i_o l._n as_o to_o the_o eye_n sufficient_o appear_v that_o b_o i_o c._n be_v the_o horizon_n circle_n d._n the_o easterly_a point_n or_o rise_n of_o the_o equatour_n from_o which_o the_o first_o house_n take_v his_o beginning_n the_o circle_n of_o position_n all_o these_o circle_n be_v set_v down_o the_o astronomer_n notwithstanding_o do_v write_v of_o another_o circle_n who_o use_n and_o office_n serve_v to_o great_a purpose_n for_o the_o art_n of_o direct_v &_o search_v other_o more_o secret_a matter_n in_o astronomy_n and_o be_v thereof_o call_v the_o circle_n of_o position_n which_o pass_v at_o all_o time_n by_o the_o former_a section_n of_o the_o meridian_n and_o horizone_n and_o by_o the_o centre_n of_o the_o star_n or_o of_o any_o other_o purpose_a point_n in_o heaven_n like_v to_o the_o soresaid_a circle_n whether_o that_o star_n be_v above_o the_o earth_n or_o under_o the_o earth_n that_o this_o may_v clear_o appear_v mark_v and_o consider_v this_o figure_n here_o express_v where_o the_o letter_n c._n represent_v the_o top_n point_n d._n the_o northerly_a pole_n e._n the_o opposite_a pole_n a_o g_o b_o f._n the_o circle_n of_o the_o position_n pass_v by_o the_o section_n of_o the_o horizon_n and_o meridian_n b_o c_o d_o e._n the_o meridian_n a_o b._n the_o horizone_n g_o f._n the_o centre_n of_o the_o star_n of_o which_o the_o one_o be_v in_o g._n above_o the_o earth_n and_o the_o other_o under_o the_o earth_n in_o the_o point_n f._n and_o many_o other_o circle_n beside_o all_o these_o which_o hitherto_o have_v be_v describe_v may_v be_v invent_v and_o imagine_v in_o the_o sphere_n for_o the_o necessity_n of_o the_o working_n the_o difinition_n name_n and_o office_n of_o the_o four_o lesser_a circle_n the_o parallel_n be_v lesser_a circle_n which_o from_o either_o of_o the_o great_a circle_n draw_v thwart_o on_o the_o sphere_n do_v equal_o difand_v be_v distant_a from_o the_o equatoure_n or_o zodiac_n towards_o their_o pole_n so_o y_o ●_o they_o do_v not_o divide_v the_o sphere_n into_o equal_a half_a sphere_n but_o into_o unequal_a portion_n for_o see_v the_o sphere_n from_o the_o middle_n streach_v or_o draw_v by_o little_a and_o little_o straight_a and_o narow_a towards_o the_o further_a and_o high_a top_n even_o so_o must_v the_o parallel_n which_o be_v distant_a from_o the_o middle_n and_o great_a and_o that_o by_o equal_a space_n on_o each_o side_n agree_v draw_v of_o necessity_n narrow_a and_o so_o much_o the_o narower_n as_o they_o near_o approach_v unto_o the_o pole_n as_o write_v theodosius_n in_o the_o sixth_o proposition_n of_o his_o first_o book_n of_o the_o sphere_n and_o the_o same_o author_n in_o the_o 14._o proposition_n of_o his_o first_o book_n of_o the_o sphere_n and_o in_o the_o sixth_o of_o his_o second_o book_n write_v that_o all_o the_o parallel_n have_v the_o same_o pole_n agree_v with_o the_o great_a circle_n unto_o which_o the_o parallel_n be_v and_o certain_a of_o the_o parallel_n be_v apply_v unto_o the_o plain_a of_o the_o equatoure_n other_o unto_o the_o plain_a of_o the_o eccliptick_a these_o do_v as_o well_o the_o fix_a star_n as_o the_o planet_n place_v without_o the_o ecclipticke_a and_o draw_v about_o the_o exetrée_n stretch_v b●_n the_o pole_n of_o the_o ecclipticke_a and_o centre_n of_o the_o world_n describe_v yet_o do_v all_o their_o centre_n consist_v in_o the_o exetrée_n of_o the_o zodiac_n and_o the_o middle_a circle_n of_o they_o and_o the_o great_a be_v the_o ecclipticke_a these_o also_o do_v the_o same_o star_n and_o the_o verticiall_a or_o top_n point_v of_o each_o place_n or_o any_o other_o apply_v unto_o the_o plain_a of_o the_o equatour_n draw_v as_o it_o be_v by_o the_o first_o mover_n about_o the_o exetrée_n and_o pole_n of_o the_o world_n define_v and_o the_o centre_n of_o these_o be_v in_o the_o exetrée_n of_o the_o world_n or_o equatoure_n but_o the_o middle_n and_o great_a of_o these_o be_v the_o equatour_n it_o be_v manifest_a by_o that_o afore_o teach_v that_o the_o sun_n in_o every_o day_n do_v gain_v towards_o the_o east_n against_o the_o daily_a motion_n one_o degree_n of_o the_o zodiac_n and_o of_o this_o happen_v that_o he_o in_o each_o day_n through_o the_o thwartnesse_n of_o the_o zodiac_n describe_v a_o certain_a new_a circle_n in_o heaven_n and_o in_o the_o next_o day_n another_o and_o so_o forth_o by_o order_n as_o the_o like_a may_v be_v compare_v by_o a_o small_a cord_n wind_v close_o about_o a_o nun_n or_o top_n begin_v from_o the_o foot_n upward_o even_o so_o the_o sun_n beginning_n to_o turn_v again_o at_o the_o first_o degree_n of_o capricorn_n do_v every_o day_n after_o change_v a_o new_a parallel_n until_o he_o become_v back_o unto_o the_o first_o degree_n of_o cancer_n and_o by_o and_o by_o after_o return_v from_o cancer_n he_o in_o the_o like_a order_n go_v unto_o the_o capricorn_n so_o that_o in_o the_o next_o day_n follow_v the_o sun_n rise_v not_o with_o the_o same_o parallel_n above_o the_o horizone_n that_o he_o do_v in_o the_o morning_n before_o nor_o shall_v not_o run_v the_o next_o morrow_n in_o that_o parallel_n that_o he_o do_v in_o this_o day_n and_o each_o of_o these_o parallel_n even_o as_o the_o great_a circle_n contain_v 360._o degree_n which_o be_v so_o much_o lesser_a than_o the_o degree_n of_o the_o great_a circle_n and_o occupy_v or_o comprehend_v somuch_o the_o lesser_a space_n in_o heaven_n as_o answer_v to_o the_o upper_a face_n of_o the_o earth_n as_o by_o how_o much_o the_o more_o from_o the_o compass_n and_o largeness_n of_o the_o great_a circle_n they_o lack_v by_o reason_n of_o the_o distance_n and_o although_o they_o yield_v and_o be_v less_o in_o the_o quantity_n yet_o unto_o the_o degree_n of_o the_o great_a circle_n be_v they_o agreeable_a and_o like_a as_o write_v theodosius_n in_o the_o 14._o proposition_n of_o his_o second_o book_n of_o the_o sphere_n these_o lesser_a circle_n do_v offer_n and_o teach_v sundry_a utility_n first_o the_o parallel_n of_o which_o on_o this_o side_n and_o beyond_o the_o equatour_n be_v 182_o that_o the_o sun_n yearly_a by_o his_o daily_a motion_n describe_v and_o do_v express_v the_o cause_n of_o the_o continual_a equality_n of_o
from_o the_o further_a point_n of_o the_o ecclipticke_a unto_o the_o equatour_n by_o which_o it_o appear_v that_o so_o much_o be_v the_o distance_n of_o the_o pole_n of_o the_o ecclipticke_a from_o the_o pole_n of_o the_o world_n as_o be_v the_o sun_n great_a declination_n be_v 23._o degree_n and_o 28._o minute_n and_o two_o fifte_n almost_o or_o thus_o that_o the_o pole_n of_o the_o zodiac_n be_v far_o distant_a from_o the_o pole_n of_o the_o world_n as_o be_v the_o great_a declination_n of_o the_o sun_n from_o the_o equinoctial_a circle_n and_o by_o the_o equidistance_n also_o on_o each_o side_n of_o the_o arctic_a circle_n from_o the_o pole_n of_o the_o world_n that_o that_o part_n of_o the_o colour_n comprehend_v between_o the_o first_o point_n of_o cancer_n and_o the_o arctic_a circle_n be_v almost_o double_a so_o much_o unto_o the_o great_a declination_n of_o the_o sun_n and_o if_o cyrcumspect_o you_o consider_v the_o manner_n of_o the_o motion_n you_o shall_v ready_o perceive_v that_o those_o circle_n which_o ever_o more_o be_v of_o like_a largeness_n increase_n and_o decrease_v together_o with_o the_o twoe_o tropic_n circle_n according_a to_o the_o increase_n or_o decrease_v of_o the_o sun_n declination_n as_o appear_v by_o the_o letter_n n._n in_o the_o foresay_a figure_n that_o represent_v the_o northerly_a pole_n of_o the_o ecclipticke_a or_o zodiac_n move_v from_o the_o letter_n n._n into_o o._n by_o the_o motion_n of_o the_o first_o mover_n and_o return_v again_o into_o the_o point_n n_o shall_v be_v move_v the_o circle_n describe_v n_o o._n be_v distant_a from_o the_o northerly_a pole_n a._n much_o as_n be_v the_o sun_n great_a declination_n h_o g._n as_o hereafter_o by_o demonstration_n shall_v plain_o appear_v and_o this_o circle_n name_v the_o arctic_a in_o that_o it_o be_v describe_v by_o the_o arctic_a of_o the_o zodiac_n the_o like_a be_v describe_v from_o the_o point_n r._n be_v the_o pole_n antarcticke_a by_o the_o motion_n from_o r._n unto_o s._n and_o return_v again_o unto_o r._n so_o that_o the_o antarcticke_a circle_n r_o s._n be_v equal_a to_o his_o opposite_a and_o equidistaunt_a to_o the_o equatoure_n this_o probation_n that_o the_o distance_n of_o the_o pole_n of_o the_o world_n and_o zodiac_n be_v equal_a to_o the_o sun_n great_a declination_n do_v require_v before_o hand_n these_o three_o proposition_n the_o first_o that_o the_o quarter_n of_o each_o circle_n any_o where_o take_v be_v in_o themselves_o or_o between_o one_o another_o equal_a the_o second_o that_o the_o pole_n by_o a_o quarter_n that_o be_v by_o 90._o degree_n be_v distant_a from_o their_o proper_a circle_n the_o three_o that_o the_o equal_v deduct_v from_o their_o equal_n then_o do_v the_o equal_n rest_n as_o for_o example_n if_o you_o borowe_n two_o fourthe_n in_o one_o and_o the_o same_o colour_n circle_n that_o be_v the_o solsticiall_a of_o the_o same_o part_n where_o it_o pass_v by_o the_o begin_n of_o capricorn_n and_o be_v the_o like_a from_o the_o pole_n of_o the_o world_n unto_o the_o equinoctial_a and_o that_o other_o be_v that_o which_o be_v from_o the_o pole_n of_o the_o zodiac_n unto_o the_o zodiac_n or_o ecclipticke_a and_o of_o this_o i_o thus_o reason_n that_o when_o the_o equal_n be_v deduct_v or_o abate_v from_o the_o equal_n the_o remainder_n shall_v be_v equal_a therefore_o be_v the_o foresay_a quarter_n equal_a in_o that_o they_o be_v in_o the_o same_o circle_n and_o that_o from_o either_o be_v the_o equal_a or_o common_a ark_n deduct_v that_o be_v the_o same_o which_o be_v contain_v between_o the_o equinoctial_a and_o the_o pole_n of_o the_o zodiac_n which_o ark_n do_v contain_v 66._o degree_n and_o 31._o minute_n almost_o so_o that_o the_o ark_n rest_v or_o remain_v of_o these_o quarter_n be_v equal_a that_o be_v the_o distance_n of_o the_o pole_n of_o the_o zodiac_n and_o the_o equinoctial_a be_v equal_a to_o the_o sun_n great_a declination_n for_o if_o 66._o degree_n and_o 31._o minute_n be_v deduct_v from_o either_o quarter_n the_o remainder_n then_o be_v 23_o degree_n and_o 31_o minute_n which_o be_v the_o distance_n between_o the_o foresay_a pole_n and_o the_o great_a declination_n of_o the_o sun_n this_o other_o example_n demonstrate_v that_o the_o sun_n great_a declination_n and_o the_o distance_n of_o the_o pole_n of_o the_o zodiac_n or_o ecclipticke_a from_o the_o pole_n of_o the_o world_n be_v equal_a and_o of_o like_a largeness_n and_o that_o what_o soever_o happen_v to_o the_o distance_n of_o the_o say_a pole_n for_o as_o this_o increase_v or_o decrease_v the_o like_a do_v that_o decrease_n or_o increase_v of_o this_o it_o be_v manifest_a that_o the_o two_o foresay_a arctic_a circle_n be_v now_o in_o our_o time_n lesser_a through_o the_o decrease_a of_o the_o sun_n great_a declination_n and_o that_o the_o tropicke_n be_v great_a than_o they_o be_v in_o ptholomies_n time_n the_o office_n or_o utility_n of_o the_o four_o lesser_a circle_n 1_o the_o office_n of_o the_o solsticiall_a tropic_n after_o the_o greek_n be_v to_o define_v the_o long_a summer_n day_n and_o the_o winter_n tropic_n to_o determine_v the_o short_a winter_n day_n and_o long_a night_n for_o proclus_n to_o find_v the_o long_a day_n do_v divide_v the_o summer_n solstice_n into_o 8._o equal_a part_n of_o which_o so_o divide_v he_o affirm_v three_o part_n to_o be_v continual_o hide_v under_o the_o horizon_n and_o five_o above_o the_o truth_n of_o which_o be_v know_v if_o the_o sphere_n be_v rectify_v for_o the_o latitude_n of_o 41._o degree_n where_o by_o this_o division_n the_o long_a day_n contain_v 15_o hour_n and_o the_o night_n but_o 9_o hour_n 2_o many_n and_o notable_a office_n do_v the_o tropic_n circle_n offer_v as_o well_o unto_o the_o composition_n of_o dialle_n as_o unto_o the_o prepare_v many_o other_o instrument_n in_o astronomy_n 3_o they_o declare_v the_o place_n of_o the_o ecclipticke_a in_o which_o the_o sun_n solstice_n be_v cause_v whereof_o the_o long_a or_o short_a day_n by_o they_o be_v know_v or_o thus_o they_o declare_v in_o every_o stand_n of_o the_o sphere_n the_o long_a and_o short_a day_n with_o their_o quantity_n 4_o they_o include_v the_o sun_n way_n in_o that_o they_o be_v as_o the_o bound_n include_v the_o region_n in_o heaven_n in_o which_o the_o sun_n be_v continual_o move_v 5_o they_o declare_v the_o sun_n great_a declination_n as_o afore_o have_v be_v often_o teach_v 6_o they_o separate_v in_o heaven_n the_o burn_a zone_n from_o the_o two_o temperate_a zone_n but_o of_o the_o polare_fw-la circle_n these_o be_v the_o chief_a and_o especial_a utility_n 1_o they_o iudicate_v or_o show_v the_o pole_n of_o the_o zodiac_n and_o how_o far_o they_o be_v distant_a from_o the_o pole_n of_o the_o world_n 2_o they_o enclose_v those_o star_n which_o ever_o appear_v above_o our_o horizone_n and_o those_o in_o like_a manner_n right_a against_o be_v always_o hide_v unto_o us._n but_o for_o that_o every_o several_a climate_n have_v disagrée_v from_o other_o climate_n these_o circle_n their_o distance_n therefore_o can_v be_v certain_a from_o the_o other_o parallel_n circle_n save_v for_o one_o region_n certain_a as_o neither_o their_o quantity_n nor_o their_o order_n for_o in_o that_o place_n where_o the_o altitude_n of_o the_o pole_n be_v lesser_a than_o 66._o degree_n and_o a_o half_a these_o circle_n there_o be_v lesser_a than_o the_o tropic_n and_o in_o order_n be_v between_o they_o and_o the_o pole_n and_o be_v from_o the_o pole_n continual_o distant_a by_o so_o many_o degree_n as_o the_o pole_n in_o that_o country_n be_v raise_v above_o the_o horizon_n so_o that_o in_o the_o same_o place_n the_o pole_n raise_v more_o than_o 66._o degree_n and_o a_o half_a the_o tropic_n than_o be_v above_o the_o horizone_n as_o the_o like_a may_v be_v understand_v by_o that_o place_n call_v wardehouse_n so_o that_o in_o the_o same_o climate_n the_o arctic_a circle_n be_v great_a than_o the_o tropic_n of_o cancer_n as_o witness_v the_o learned_a stoeflerus_n justingensis_n 3_o they_o distinguish_v after_o the_o mind_n of_o the_o greek_n the_o cold_a zone_n from_o the_o temperate_a which_o ferio_n deni_v affirm_v that_o the_o arctic_a and_o antarcticke_a circle_n keep_v no_o uniformity_n to_o all_o country_n and_o be_v uncertain_a and_o variable_a bound_n can_v limit_v any_o certain_a place_n for_o the_o temperate_a zone_n be_v place_n certain_a the_o arctic_a and_o antarcticke_a circle_n be_v changeable_a limit_n therefore_o can_v they_o be_v as_o bound_n of_o the_o temperate_a zone_n yet_o do_v he_o better_o allow_v and_o agree_v unto_o that_o that_o the_o tropicke_n be_v bound_n of_o the_o temperate_a zone_n so_o that_o changeable_a limit_n by_o this_o argument_n can_v be_v appoint_v as_o bound_n to_o unchangeable_a place_n 4_o they_o divide_v together_o with_o the_o
shadow_n for_o with_o they_o the_o nooneshadowe_v continual_o run_v or_o go_v towards_o one_o quarter_n only_o so_o that_o to_o they_o dwell_v northward_o the_o noon_n shadow_n streach_v towarth_a the_o arctic_a or_o northerly_a quarter_n by_o which_o it_o appear_v that_o the_o sun_n never_o ascend_v over_o their_o head_n but_o continual_o cast_v or_o streach_v his_o beam_n thwart_o into_o those_o country_n which_o always_o form_n their_o thwart_a angle_n with_o the_o plain_a of_o the_o earth_n or_o else_o fall_v a-slope_n upon_o the_o earth_n those_o people_n which_o possess_v and_o dwell_v under_o either_o untemperate_a or_o cold_a zone_n be_v name_v of_o the_o greek_a writer_n periskioi_n periscij_fw-la for_o that_o their_o shadow_n in_o one_o artificial_a day_n be_v carry_v and_o run_v round_o as_o it_o be_v about_o they_o on_o the_o plain_a of_o the_o earth_n so_o that_o the_o sun_n unto_o those_o place_n cast_v or_o send_v not_o straight_o thwart_a or_o slope_n but_o long_a beam_n run_v on_o the_o horizone_n which_o as_o they_o stretch_n along_o infinite_o even_o so_o the_o shadow_n go_v and_o lie_v on_o the_o flat_a of_o the_o earth_n and_o extend_v along_o do_v increase_v infinite_o and_o these_o zone_n also_o under_o the_o pole_n extend_v to_o that_o proper_a place_n where_o the_o tropic_n circle_n and_o the_o arctic_a circle_n be_v all_o one_o strabo_n likewise_o write_v that_o the_o cold_a zone_n reach_v to_o that_o place_n where_o the_o tropic_n be_v the_o arctic_a circle_n that_o be_v where_o this_o first_o zone_n end_v and_o the_o temperate_a begin_v the_o pole_n be_v 66._o degree_n and_o a_o half_a above_o the_o horizon_n so_o that_o this_o pole_n must_v be_v from_o the_o top_n of_o their_o head_n in_o that_o place_n 23._o degree_n and_o a_o half_a further_o these_o people_n that_o have_v their_o shadow_n run_v round_o about_o they_o dwell_v within_o the_o polare_fw-la circle_n in_o that_o all_o people_n who_o zenith_n be_v within_o 23._o degree_n and_o a_o half_a of_o any_o of_o both_o the_o pole_n have_v their_o shadow_n compass_v about_o they_o but_o those_o people_n as_o afore_o write_v dwell_v near_o under_o the_o pole_n the_o long_a be_v their_o day_n and_o by_o that_o reason_n do_v the_o shadow_n run_v the_o often_o about_o they_o for_o where_o the_o day_n be_v of_o 24._o hour_n long_o the_o shadow_n do_v run_v but_o once_o about_o yet_o where_o the_o day_n be_v of_o half_a a_o year_n long_o the_o shadow_n do_v run_v 183._o time_n about_o here_o conceive_v that_o there_o be_v five_o zone_n on_o earth_n answer_v to_o the_o five_o celestial_a zone_n both_o in_o the_o heat_n temperatnesse_n and_o cold_a which_o for_o a_o plain_a understanding_n use_v this_o figure_n here_o follow_v demonstrate_v where_o the_o orb_n or_o circle_n describe_v on_o the_o plain_a of_o the_o earth_n be_v distribute_v by_o the_o two_o unknown_a diameter_n into_o four_o equal_a part_n as_o to_o the_o outward_a point_n of_o the_o one_o diameter_n note_v the_o letter_n a_o b._n to_o the_o point_n of_o the_o other_o diameter_n add_v the_o letter_n c_o d._n the_o letter_n c._n the_o northerly_a pole_n and_o the_o letter_n d._n represent_v the_o southerly_a pole_n the_o ark_n of_o the_o orb_n a_o c._n divide_v after_o the_o common_a manner_n into_o 90._o part_n or_o degree_n the_o number_n as_o the_o use_n be_v note_v by_o 5._o 10._o 15._o 20._o 25._o etc._n etc._n and_o beginning_n to_o reckon_v at_o the_o letter_n a._n in_o ascend_v by_o the_o number_n 5._o unto_o the_o letter_n c._n be_v the_o northerly_a pole_n again_o set_v one_o foot_n of_o the_o compass_n unchaunged_a on_o the_o letter_n c._n represent_v the_o northerly_a pole_n and_o with_o the_o other_o open_v make_v a_o point_n of_o the_o one_o side_n and_o after_o on_o the_o other_o side_n in_o draw_v a_o line_n beside_o from_o point_n to_o point_n and_o the_o end_n of_o that_o line_n note_n with_o the_o letter_n ●_o k._n that_o declare_v the_o arctic_a circle_n and_o likewise_o set_v one_o foot_n of_o the_o compass_n on_o the_o note_n d._n iudicate_v the_o southerly_a pole_n and_o after_o the_o mark_v with_o point_n on_o either_o side_n draw_v a_o right_a line_n at_o the_o end_n of_o which_o note_v these_o letter_n l_o m._n that_o represent_v the_o antarcticke_a circle_n these_o so_o finish_v you_o shall_v then_o see_v on_o that_o plain_a or_o flat_o the_o five_o earthly_a zone_n right_o describe_v for_o the_o space_n here_o represent_v of_o the_o earth_n by_o the_o tropic_n line_n e_o f._n and_o g_o h._n include_v do_v demonstrate_v the_o burn_a zone_n in_o that_o the_o sun_n heat_n by_o his_o direct_a beam_n over_o it_o do_v continual_o strong_o heat_n and_o burn_v that_o space_n of_o the_o earth_n wherefore_o you_o may_v right_o draw_v a_o straight_a line_n from_o the_o letter_n g._n unto_o f._n represent_v the_o sun_n journey_n and_o the_o space_n of_o the_o earth_n include_v of_o the_o line_n i_o k._n the_o arctic_a circle_n and_o the_o ark_n answer_v to_o the_o northerly_a line_n i_o k_o do_v iudiacate_v the_o cold_a and_o freeze_a zone_n northerly_a and_o that_o other_o region_n or_o space_n contain_v right_o against_o represent_v the_o antarcticke_a circle_n do_v demonstrate_v the_o cold_a southerly_a zone_n and_o the_o tract_n or_o space_n of_o the_o earth_n include_v within_o the_o line_n i_o k._n and_o e_o f._n do_v iudicate_a our_o temperate_a zone_n northward_o and_o that_o reasonable_o habitable_a and_o the_o other_o portion_n of_o the_o earth_n contain_v within_o the_o line_n g_o h._n and_o l_o m._n do_v manifest_o show_v the_o temperate_a southerly_a zone_n where_o ptolemy_n and_o other_o ancient_a cosmographer_n write_v that_o the_o burn_a zone_n be_v habit_v or_o as_o a_o desert_n aristotle_n pliny_n and_o john_n de_fw-fr sacro_fw-la bosco_fw-la in_o his_o treatise_n of_o the_o sphere_n write_v the_o contrary_a beside_o these_o it_o be_v well_o know_v at_o this_o day_n yea_o by_o experience_n understand_v of_o those_o that_o have_v yearly_a go_v and_o come_v from_o the_o country_n lie_v under_o that_o zone_n that_o be_v between_o the_o two_o tropic_n to_o be_v inhabit_v further_o this_o burn_a zone_n be_v inhabit_v and_o well_o replenish_v with_o people_n that_o there_o dwell_v as_o the_o same_o be_v thorough_o know_v to_o many_o that_o have_v pass_v to_o and_o froth_n indies_n so_o that_o it_o may_v evident_o appear_v that_o the_o heat_n there_o be_v not_o extreme_a nor_o so_o distemperate_a see_v the_o time_n of_o the_o heat_n that_o they_o suffer_v continue_v not_o long_o nor_o the_o heat_n sharp_o work_v or_o cause_v his_o uttermost_a effect_n for_o the_o sun_n but_o a_o small_a time_n tarry_v above_o the_o horizone_n in_o the_o burn_a region_n or_o zone_n as_o certain_a astronomer_n write_v as_o the_o space_n of_o twelve_o hour_n only_o so_o that_o the_o heat_n there_o be_v much_o qualify_v and_o suppress_v through_o the_o cold_a rise_n in_o the_o night_n time_n whereof_o it_o be_v manifest_a that_o he_o cause_v not_o his_o extreme_a hotness_n there_o although_o he_o streach_v his_o beam_n perpendicular_o on_o the_o earth_n therefore_o may_v many_o marvel_n that_o sundry_a ancient_a man_n affirm_v these_o part_n to_o be_v unhabitable_a see_v they_o know_v of_o arabia_n foelix_n aethiopia_n taprobana_n and_o diverse_a other_o country_n lie_v under_o the_o burn_a zone_n yea_o beside_o these_o be_v guinea_n calicute_n muluca_n and_o gatigara_n well_o know_v to_o lie_v or_o be_v under_o the_o burn_a zone_n and_o many_o of_o the_o people_n in_o those_o country_n live_v long_o and_o the_o same_o region_n also_o be_v inhabit_v and_o replenish_v well_o with_o people_n a_o like_a affirmation_n have_v albertus_n and_o avicen_n as_o afore_o write_v that_o the_o middle_a zone_n be_v habitable_a for_o they_o agree_v contrary_a to_o the_o old_a writer_n that_o in_o the_o same_o region_n of_o the_o world_n which_o the_o ancient_a cosmographer_n name_v to_o be_v the_o burn_a zone_n that_o it_o be_v a_o far_a temperater_n dwell_v than_o under_o the_o tropic_n it_o can_v be_v in_o any_o wise_a and_o that_o people_n dwell_v under_o the_o tropicke_n the_o ancient_a never_o doubt_v wherefore_o if_o so_o reasonable_a dwelling_n be_v under_o the_o tropic_n it_o can_v be_v otherwise_o as_o affirm_v petrus_n de_fw-fr apono_fw-la that_o under_o the_o equatoure_n notwithstanding_o the_o sun_n sharp_a heat_n but_o that_o man_n may_v dwell_v there_o for_o all_o the_o untemperatnesse_n of_o heat_n to_o be_v brief_a all_o the_o writer_n of_o late_a year_n agree_v that_o the_o middle_a zone_n be_v not_o only_o habitable_a but_o find_v and_o know_v by_o many_o reason_n and_o by_o experience_n that_o the_o same_o be_v most_o temperate_a and_o the_o earth_n under_o it_o rich_a both_o of_o gold_n and_o rich_a drug_n
and_o f_o g._n be_v the_o latitude_n of_o the_o temperate_a zone_n in_o heaven_n and_o s_o t_o a_o c_o r_o q._n of_o they_o on_o earth_n the_o twoe_o outward_a zone_n to_o these_o here_o draw_v be_v by_o themselves_o note_v as_o well_o in_o heaven_n as_o on_o earth_n now_o that_o we_o have_v declare_v with_o the_o five_o circle_n the_o latitude_n either_o of_o the_o celestial_a or_o terestriall_a zone_n be_v define_v it_o shall_v therefore_o be_v necessary_a to_o write_v here_o of_o the_o latitude_n of_o the_o earthly_a zone_n in_o mile_n and_o that_o you_o may_v ready_o find_v the_o latitude_n in_o mile_n multiply_v the_o degree_n by_o 15._o in_o that_o so_o many_o german_a mile_n answer_v to_o one_o degree_n of_o the_o great_a circle_n in_o heaven_n as_o the_o 43._o degree_n of_o the_o burn_a zone_n be_v the_o sun_n great_a declination_n multiply_v by_o the_o 15._o mile_n do_v produce_v 705._o german_a mile_n which_o be_v the_o latitude_n of_o the_o burn_a zone_n the_o latitude_n of_o either_o temperate_a zone_n contain_v 646._o german_a mile_n almost_o and_o from_o either_o tropic_n unto_o the_o point_n right_a under_o the_o pole_n do_v the_o space_n or_o distance_n contain_v 352._o german_a mile_n where_o be_v the_o beginning_n and_o end_n of_o every_o zone_n according_a to_o latitude_n and_o which_o place_n be_v in_o which_o zone_n the_o middle_n of_o the_o burn_a zone_n be_v under_o the_o equinoctial_a line_n where_o either_o pole_n be_v in_o the_o horizon_n and_o both_o be_v his_o bound_n where_o the_o elevation_n of_o the_o pole_n aswell_o southerly_a as_o northerly_a be_v of_o 13._o degree_n and_o 28._o minute_n for_o either_o temperate_a zone_n do_v there_o begin_v and_o streach_v unto_o the_o same_o place_n where_o the_o elevation_n of_o the_o pole_n be_v of_o 66._o degree_n and_o 30._o minute_n which_o place_n be_v the_o begin_n of_o the_o cold_a zone_n by_o these_o now_o may_v a_o man_n easy_o conceive_v which_o place_n be_v in_o which_o zone_n for_o if_o the_o elevation_n of_o the_o pole_n northerly_a be_v lesser_a than_o 23._o degree_n and_o 28._o minute_n this_o place_n than_o be_v in_o the_o burn_a zone_n as_o the_o inner_a libya_n aethiopia_n a_o part_n of_o arabia_n felix_n and_o india_n but_o if_o the_o elevation_n contain_v precise_o so_o many_o degree_n and_o minute_n the_o place_n than_o be_v in_o the_o bind_v of_o the_o burn_a and_o temperate_a zone_n as_o be_v see_z a_o city_n of_o egypt_n further_o if_o the_o elevation_n of_o the_o northerly_a pole_n be_v great_a than_o 23._o degree_n and_o 28._o minute_n yet_o lesser_a than_o 66._o degree_n and_o 30._o minute_n this_o place_n they_o be_v in_o the_o temperate_a zone_n as_o greece_n italy_n spain_n germany_n france_n england_n etc._n etc._n but_o if_o the_o latitude_n be_v precise_o of_o 66_o degree_n and_o 30._o minute_n the_o place_n be_v in_o the_o bind_v of_o the_o temperate_a and_o cold_a zone_n as_o be_v almost_o lagenla●us_a of_o suetia_n last_o if_o the_o elevation_n of_o the_o pole_n exceed_v 66._o degree_n and_o 30._o minute_n the_o place_n be_v in_o the_o cold_a zone_n beyond_o which_o degree_n have_v nicolaus_n dovis_n a_o german_a add_v a_o table_n of_o noreway_n gothland_n iseland_n greenland_n fineland_n and_o lapeland_n etc._n etc._n how_o the_o zone_n and_o climate_n do_v differ_v the_o zone_n be_v a_o space_n or_o room_n of_o the_o earth_n from_o the_o west_n into_o the_o east_n and_o from_o thence_o by_o the_o midnight_n point_n again_o into_o the_o west_n but_o the_o climate_n be_v a_o space_n of_o the_o earth_n who_o beginning_n be_v constitute_v in_o the_o west_n and_o end_n in_o the_o east_n a_o zone_n also_o be_v the_o space_n of_o earth_n between_o two_o circle_n equidistant_a but_o a_o climate_n be_v the_o only_a space_n or_o room_n of_o the_o habitable_a earth_n contain_v between_o two_o line_n equidistant_a what_o the_o quality_n of_o the_o zone_n be_v to_o the_o celestial_a zone_n be_v quality_n attribute_v not_o formal_o but_o only_o virtual_o that_o be_v the_o celestial_a zone_n be_v neither_o cold_a hot_a nor_o temperate_a but_o of_o this_o name_v cold_a burn_a and_o temperate_a through_o the_o sun_n which_o one_o while_n come_v into_o this_o and_o another_o while_n decline_v into_o that_o part_n of_o the_o world_n do●th_v send_v down_o his_o beam_n to_o the_o earth_n in_o sundry_a manner_n as_o one_o while_o plum_n down_o right_o when_o the_o sun_n run_v under_o the_o equinoctial_a and_o another_o while_n by_o a_o thwart_a manner_n as_o in_o the_o thwart_a sphere_n which_o beam_n beside_o how_o right_a angle_n they_o make_v on_o earth_n so_o much_o the_o great_a heat_n they_o cause_n and_o how_o thwarter_n angle_v they_o make_v somuch_o the_o weak_a heat_n they_o procure_v so_o that_o under_o the_o equinoctial_a the_o beam_n most_o right_o and_o down_o right_o fall_v do_v make_v right_a angle_n on_o the_o upper_a face_n of_o the_o earth_n which_o through_o the_o same_o cause_v a_o most_o great_a heat_n also_o the_o beam_n fal_v towards_o either_o pole_n do_v cause_n thwarter_v angle_n and_o they_o make_v the_o angle_n more_o uneven_a or_o thwarter_n and_o thereof_o the_o same_o heat_n be_v the_o lesser_a and_o in_o the_o temperate_a zone_n especial_o in_o the_o summer_n the_o beam_n do_v make_v almost_o angle_v fall_v unto_o a_o rightness_n but_o in_o the_o winter_n unto_o a_o thwartnes_n so_o that_o in_o the_o same_o region_n be_v a_o commodious_a dwell_n but_o in_o the_o cold_a zone_n the_o angle_n be_v cause_v unlike_o or_o uneven_a &_o thwarte_v or_o slope_v as_o in_o the_o burn_a zone_n they_o be_v right_a and_o most_o downward_o in_o somuch_o that_o the_o cold_a zone_n even_o as_o the_o burn_a be_v commodious_a to_o dwell_v under_o for_o the_o beam_n fall_v and_o reflexed_a how_o much_o near_o they_o fall_v and_o be_v together_o somuch_o the_o strong_a and_o mighty_a they_o move_v and_o cause_v the_o heat_n as_o we_o daily_o see_v that_o the_o sun_n in_o the_o noonstéed_n be_v as_o in_o the_o summer_n to_o cast_v or_o stretch_n down_o almost_o perpendicular_a or_o down_o right_a beam_n which_o beam_n also_o be_v almost_o reflect_v into_o themselves_o of_o which_o the_o great_a heat_n of_o the_o day_n than_o be_v cause_v and_o contrariwise_o the_o sun_n be_v in_o the_o east_n or_o west_n where_o you_o e_z beam_n streach_v downward_o and_o reflex_v be_v scatter_v and_o run_v abroad_o the_o effect_n be_v lesser_a and_o the_o heat_n much_o abate_v and_o feeble_a even_o so_o the_o beam_n in_o the_o burn_a zone_n be_v perpendicular_a or_o plum_n downright_a which_o reflex_v into_o themselves_o do_v cause_v a_o most_o great_a heat_n in_o the_o temperate_a zone_n do_v the_o beam_n bylitle_o and_o little_o fall_v sloper_n and_o sloper_n of_o which_o they_o cause_v there_o a_o temperate_a heat_n but_o in_o the_o cold_a zone_n the_o beam_n further_a decline_v or_o fall_v slope_v through_o which_o they_o procure_v no_o effect_n &_o of_o the_o consequent_a cause_n there_o a_o very_a weak_a heat_n what_o the_o utility_n of_o the_o zone_n be_v 1_o the_o ancient_a considerer_n of_o the_o star_n have_v thus_o institute_v the_o distribution_n of_o the_o zone_n for_o two_o cause_n the_o one_o be_v that_o by_o this_o reason_n they_o may_v show_v to_o we_o which_o place_n of_o the_o earth_n be_v reasonable_o habitable_a &_o most_o commodious_a to_o dwell_v under_o 2_o the_o other_o be_v as_o we_o learn_v by_o experience_n that_o the_o wit_n of_o man_n and_o nature_n of_o place_n by_o they_o appear_v and_o be_v know_v in_o that_o the_o air_n compass_v we_o be_v a_o certain_a cause_n of_o the_o temperatnes_n for_o the_o manner_n and_o condition_n of_o man_n as_o write_v galen_n do_v for_o the_o most_o part_n ensue_v the_o temperament_n of_o the_o body_n yea_o the_o nature_n of_o tree_n plant_n herb_n and_o beast_n do_v like_a ensue_v the_o temperament_n of_o air_n of_o which_o that_o we_o may_v be_v the_o sure_a and_o certain_a of_o the_o nature_n of_o the_o foresay_a matter_n it_o please_v the_o ancient_a to_o divide_v they_o into_o five_o zone_n of_o which_o it_o be_v well_o know_v that_o the_o body_n of_o man_n or_o people_n dwell_v under_o the_o burn_a zone_n as_o the_o moor_n be_v short_a of_o stature_n they_o those_o people_n dwell_v under_o the_o temperate_a zone_n wild_a and_o cruel_a also_o they_o be_v crafty_a and_o subtle_a of_o nature_n have_v beside_o wrinkle_a face_n thick_a crisp_a hair_n on_o the_o head_n and_o black_a scorch_a body_n and_o crooked_a of_o stature_n also_o all_o live_n and_o cresent_a thing_n be_v find_v to_o agree_v according_a to_o the_o quality_n of_o the_o air_n in_o that_o region_n further_o the_o people_n dwell_v under_o the_o northerly_a parallel_n or_o polare_fw-la circle_n