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Word A Word B Word C Word D Occurrence Frequency Band MI MI Band Prominent
heaven_n appellation_n circle_n utility_n 64 3 16.3935 5 false
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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

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where_o the_o place_n bind_v of_o cold_a and_o moisture_n be_v white_a of_o body_n have_v long_o hear_v on_o the_o head_n tall_a and_o comely_a of_o stature_n and_o personage_n cold_a of_o quality_n yet_o in_o manner_n or_o condition_n wild_a and_o cruel_a through_o the_o force_n of_o the_o cold_a in_o those_o place_n and_o agree_v with_o these_o be_v the_o greatness_n of_o the_o winter_n and_o the_o greatness_n of_o fierce_a and_o cruel_a beast_n and_o other_o live_a thing_n there_o breed_v with_o a_o furious_a people_n inhabit_v call_v general_o the_o scythian_n last_o those_o dwell_n under_o the_o temperate_a zone_n be_v a_o gentle_a and_o civil_a people_n be_v some_o tawny_a especial_o towards_o the_o south_n and_o other_o towards_o the_o north_n reasonable_a white_a of_o skin_n and_o body_n be_v mean_a of_o stature_n and_o temperate_a in_o nature_n and_o quality_n and_o of_o the_o same_o like_a in_o condition_n and_o behaviuor_fw-la etc._n etc._n and_o thus_o much_o for_o the_o second_o part_n of_o this_o treatise_n finis_fw-la the_o table_n of_o all_o the_o special_a and_o several_a point_n handle_v in_o this_o book_n of_o the_o rudiment_n of_o the_o sphere_n of_o heaven_n of_o the_o star_n of_o the_o orb_n of_o the_o star_n and_o of_o the_o earth_n folio_n 1_o what_o a_o sphere_n be_v 2_o what_o the_o world_n be_v and_o into_o how_o many_o part_n the_o same_o be_v divide_v with_o the_o motion_n of_o the_o celestial_a orbs._n 8_o what_o the_o star_n be_v and_o that_o as_o to_o the_o motion_n of_o their_o orb_n they_o be_v carry_v about_o 11_o that_o heaven_n be_v draw_v round_o 13_o that_o there_o be_v but_o eight_o celestial_a orb_n that_o may_v be_v see_v 14_o a_o general_a 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 16_o that_o there_o be_v two_o first_o motion_n of_o the_o celestial_a orbs._n 17_o that_o there_o be_v two_o kind_n of_o star_n the_o fix_a and_o the_o planet_n 19_o of_o the_o celestial_a image_n and_o of_o their_o diverse_a name_n be_v in_o number_n 48._o 21_o the_o 12._o sign_n of_o the_o zodiac_n 22_o of_o the_o southerly_a 23_o of_o the_o planet_n 25_o that_o heaven_n have_v a_o round_a form_n and_o be_v carry_v circular_o 29_o 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_a upper_a face_n 31_o a_o instrument_n by_o which_o the_o roundness_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 33_o that_o the_o water_n have_v a_o like_a swell_n and_o run_v round_o 36_o that_o the_o earth_n emploi_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 42_o 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 it_o must_v possess_v some_o of_o the_o stand_n describe_v in_o the_o figure_n there_o demonstrate_v 46_o that_o the_o earth_n abide_v fix_v and_o unmoveable_a in_o the_o middle_n of_o the_o world_n 49_o the_o physic_n reason_n 50_o that_o the_o earth_n compare_v unto_o heaven_n be_v as_o a_o point_n 52_o to_o find_v the_o compass_n of_o the_o earth_n and_o by_o it_o the_o dyameter_n 55_o the_o second_o part._n what_o the_o sum_n of_o the_o second_o part_n be_v 59_o that_o the_o sphere_n of_o the_o world_n be_v either_o right_a or_o thwart_v 90_o that_o the_o circle_n of_o the_o sphere_n be_v some_o great_a some_o less_o with_o the_o number_n of_o the_o circle_n 92_o the_o description_n name_n and_o utility_n of_o the_o equinoctial_a 62_o that_o this_o worthy_a circle_n have_v diverse_a name_n 71_o what_o be_v the_o office_n of_o the_o equinoctial_a 73_o what_o be_v the_o northerly_a image_n in_o respect_n of_o the_o equinoctial_a 78_o 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 98_o what_o be_v the_o name_n of_o this_o circle_n 100_o what_o be_v the_o cause_n of_o the_o thwartnesse_n of_o the_o zodiac_n 109_o of_o the_o ecclipticke_a line_n or_o way_n of_o the_o sun_n 113_o what_o the_o latitude_n of_o a_o planet_n be_v after_o two_o destinction_n 115_o what_o be_v the_o longitude_n of_o a_o star_n &_o where_o he_o begin_v 116_o what_o be_v the_o use_n and_o utility_n of_o the_o zodiac_n and_o ecclipticke_a 124_o the_o description_n name_n and_o office_n of_o the_o colour_n 125_o what_o the_o office_n and_o utility_n of_o the_o colour_n be_v 133_o the_o description_n name_n and_o office_n of_o the_o meridian_n circle_n and_o horizon_n 135_o what_o be_v the_o office_n and_o utility_n of_o the_o meridian_n 144_o a_o table_n of_o the_o sun_n declaration_n etc._n etc._n 155_o the_o common_a way_n of_o measure_v of_o place_n with_o their_o space_n by_o the_o rule_n of_o longitude_n and_o latitude_n 167_o what_o be_v to_o be_v do_v if_o place_n differ_v 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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 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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 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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 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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
tropic_n all_o heaven_n into_o five_o part_n or_o region_n which_o they_o call_v zone_n the_o description_n name_n quality_n and_o utility_n of_o the_o zone_n the_o four_o lesser_a circle_n call_v parallel_n that_o be_v afore_o describe_v do_v divide_v the_o whole_a heaven_n toward_o the_o pole_n into_o five_o space_n which_o that_o heaven_n may_v be_v compass_v about_o with_o these_o large_a swath_n the_o astronomer_n of_o the_o same_o call_v they_o zone_n or_o otherwise_o of_o the_o latin_n gerdil_n the_o cosmographer_n by_o the_o same_o imagination_n apply_v do_v also_o dispose_v and_o distribute_v the_o whole_a globe_n of_o the_o earth_n into_o five_o room_n or_o space_n lie_v direct_o under_o and_o agreeable_a in_o proportion_n to_o they_o in_o heaven_n wherefore_o a_o zone_n after_o the_o mind_n of_o the_o greek_n be_v a_o portion_n tract_n or_o space_n of_o heaven_n or_o earth_n between_o the_o two_o parallel_n or_o lesser_a circle_n be_v nigh_a equidistant_n or_o contain_v 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the_o like_a reason_n gyrdle_n ouide_v name_v they_o plague_n that_o be_v room_n or_o space_n and_o how_o many_o zone_n they_o be_v may_v easy_o appear_v in_o that_o the_o astrologian_n geographer_n physician_n and_o poet_n do_v divide_v as_o well_o the_o heaven_n as_o earth_n into_o sieve_n room_n or_o space_n by_o the_o four_o parallel_n or_o lesser_a circle_n of_o which_o there_o be_v two_o manner_n of_o zone_n the_o celestial_a and_o the_o earthly_a the_o celestial_a be_v the_o cause_n of_o the_o earthly_a in_o that_o the_o earthly_a lie_n direct_o under_o they_o and_o of_o the_o zone_n the_o celestial_a be_v they_o which_o the_o astronomer_n by_o imagination_n describe_v and_o distribute_v in_o the_o hollow_a of_o heaven_n the_o earthly_a be_v they_o which_o lie_v perpendicular_o under_o and_o both_o also_o be_v temperate_a and_o untemperate_a zone_n the_o celestial_a zone_n in_o that_o they_o have_v nothing_o of_o the_o elementary_a quality_n therefore_o do_v they_o not_o by_o 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little_a and_o wither_a brain_n their_o body_n short_a have_v thick_a crisp_a hair_n on_o their_o head_n gross_a and_o dull_a of_o sense_n black_a scorch_a or_o burn_v body_n wither_a or_o wrinkle_a face_n crooked_a of_o stature_n be_v in_o a_o manner_n hot_a by_o nature_n and_o cruel_a condition_n through_o the_o mightiness_n of_o heat_n in_o those_o place_n and_o the_o constitution_n also_o of_o the_o air_n be_v there_o such_o that_o all_o live_n and_o cresent_a thing_n on_o that_o earth_n be_v find_v and_o know_v to_o agree_v with_o they_o further_o it_o be_v to_o be_v note_v and_o understand_v that_o any_o there_o travail_v from_o the_o northerly_a place_n the_o further_o they_o go_v toward_o the_o south_n somuch_o the_o strong_a heat_n or_o burn_a they_n be_v annoy_v with_o the_o two_o temperate_a zone_n be_v next_o adjoin_v to_o the_o burn_a zone_n the_o
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 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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
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 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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