breadth_n and_o in_o colour_n the_o cause_n be_v diverse_a and_o those_o either_o fabulous_a or_o natural_a the_o fabulous_a cause_n be_v in_o number_n 4._o the_o first_o be_v take_v from_o the_o scorch_n of_o the_o ☉_o as_o if_o the_o ☉_o have_v sometime_o make_v his_o motion_n there_o and_o by_o his_o scorch_n have_v cause_v that_o place_n to_o be_v white_a the_o second_o be_v draw_v from_o the_o milk_n of_o juno_n that_o run_v plentiful_o out_o of_o her_o pap_n paint_v this_o circle_n of_o that_o colour_n the_o three_o be_v fetch_v from_o the_o seat_n and_o habitation_n of_o strong_a and_o valiant_a man_n who_o the_o poet_n have_v place_v in_o this_o circle_n the_o four_o be_v derive_v out_o of_o the_o way_n of_o the_o god_n as_o if_o they_o pass_v thereby_o unto_o the_o palace_n of_o jupiter_n the_o natural_a cause_n allege_v although_o they_o be_v many_o yet_o be_v principal_o but_o 3._o the_o first_o by_o theophrastus_n who_o say_v that_o it_o be_v that_o join_v together_o whereby_o the_o heaven_n be_v divide_v into_o two_o hemisphere_n be_v as_o it_o be_v by_o a_o certain_a clay_n fasten_v the_o second_o by_o aristotle_n who_o take_v it_o to_o be_v a_o meteore_n set_v on_o fire_n in_o such_o sort_n as_o a_o comet_n the_o three_o be_v astronomical_a which_o affirm_v that_o it_o be_v a_o girdle_n cause_v by_o many_o little_a star_n as_o it_o be_v one_o touch_v another_o in_o the_o which_o concur_v in_o that_o place_n the_o light_n of_o the_o sun_n be_v diffuse_v the_o distinct_a star_n that_o make_v it_o be_v cheiflie_o these_o the_o arowe_n the_o eagle_n the_o bow_n of_o â™_o the_o altar_n the_o 4._o foot_n of_o the_o centaur_n the_o ship_n argo_n the_o head_n of_o the_o dog_n the_o right_a hand_n of_o orion_n erichthonius_n or_o the_o wagoner_n with_o the_o goat_n on_o his_o shoulder_n perseus_n cassiopeia_n and_o the_o swan_n of_o the_o 5_o principal_a region_n of_o the_o world_n common_o call_v zone_n chap._n 29._o the_o universal_a globe_n aswell_o of_o the_o heaven_n as_o of_o the_o earth_n answerable_a thereunto_o be_v distinguish_v into_o certain_a orbicular_a tract_n which_o the_o space_n comprehend_v between_o the_o 4._o parallel_n do_v make_v of_o which_o tract_n we_o may_v consider_v the_o name_n the_o definition_n the_o general_a number_n and_o their_o distance_n one_o from_o another_o their_o name_n be_v diverse_a for_o they_o be_v call_v either_o zone_n or_o swaddle_a band_n or_o girdle_n or_o mash_n or_o coast_n they_o be_v define_v to_o be_v the_o space_n either_o of_o the_o heaven_n or_o of_o the_o earth_n comprehend_v between_o two_o less_o parallel_n or_o else_o include_v on_o everye_o side_n with_o the_o polare_fw-la circle_n their_o general_a number_n be_v twofolde_v for_o either_o they_o be_v celestial_a and_o so_o the_o cause_n of_o the_o terrestrial_a or_o else_o they_o be_v terrestrial_a of_o the_o same_o proportion_n with_o the_o celestial_a the_o celestial_a be_v either_o mean_a or_o extreme_a or_o between_o mean_a and_o extreme_a the_o mean_a be_v that_o zone_n which_o be_v include_v between_o the_o 2._o tropicke_n and_o be_v cut_v in_o two_o equal_a part_n by_o the_o equator_fw-la the_o extreme_n or_o polare_fw-la zone_n be_v those_o whereof_o be_v but_o 2_o the_o one_o be_v call_v the_o septentrional_a zone_n within_o the_o arctic_a circle_n the_o other_o the_o meridional_a zone_n within_o the_o antarcticke_a circle_n the_o zone_n between_o mean_a and_o extreme_a be_v also_o 2._o whereof_o the_o one_o be_v septentrional_a comprehend_v between_o the_o tropic_n of_o ♋_o and_o the_o circle_n arctic_a and_o the_o other_o meridional_a comprehend_v between_o the_o tropic_n of_o ♑_o and_o the_o circle_n antarctic_a the_o terrestrial_a zone_n have_v the_o same_o reason_n with_o the_o celestial_a aswell_o in_o respect_n of_o their_o number_n as_o in_o regard_n of_o their_o name_n the_o terrestrial_a zone_n be_v also_o 5._o in_o number_n answer_v proportionallye_o unto_o the_o 5._o celestial_a zone_n conical_o mark_v out_o by_o the_o 4._o celestial_a parallel_n the_o terrestrial_a zone_n have_v the_o same_o reason_n with_o the_o celestial_a in_o respect_n of_o their_o name_n also_o for_o that_o terrestrial_a zone_n that_o be_v under_o the_o mean_a celestial_a be_v call_v mean_a those_o which_o be_v under_o the_o extreme_n or_o polares_fw-la be_v call_v extreme_n septentrional_a or_o meridional_a and_o those_o which_o be_v under_o the_o zone_n between_o mean_a and_o extreme_a have_v their_o name_n according_o and_o be_v either_o northerly_a or_o southerlie_a the_o distance_n one_o from_o another_o be_v in_o this_o manner_n the_o mean_a or_o burn_a zone_n according_a to_o the_o latitude_n reckon_v in_o the_o meridian_n contain_v 47._o gr_n or_o 705._o mile_n the_o extreme_a intemperate_a zone_n do_v each_o of_o they_o according_a to_o the_o say_a reckon_n contain_v as_o many_o degree_n and_o mile_n as_o the_o mean_a the_o temperate_a zone_n between_o mean_a and_o extreme_a do_v each_o of_o they_o contain_v according_a to_o the_o former_a reckon_n 41._o gr_n or_o 645._o mile_n the_o difference_n of_o the_o zone_n and_o the_o manner_n how_o all_o place_n upon_o the_o earth_n may_v be_v bring_v within_o their_o compass_n chap._n 30._o the_o difference_n also_o of_o the_o zone_n as_o well_o celestial_a as_o terrestrial_a and_o the_o reason_n how_o all_o place_n upon_o earth_n may_v be_v refer_v unto_o they_o be_v worthy_a the_o note_n their_o difference_n be_v to_o be_v consider_v either_o in_o respect_n of_o their_o figure_n or_o their_o accidental_a nature_n the_o figure_n of_o the_o mean_a be_v uniform_a and_o for_o the_o most_o part_n alike_o the_o figure_n of_o the_o extreme_n be_v either_o of_o they_o equal_a to_o other_o yet_o such_o as_o that_o they_o seem_v rather_o to_o carry_v the_o shape_n of_o circle_n then_o of_o zone_n the_o figure_n of_o the_o zone_n between_o mean_a and_o extreme_a be_v either_o of_o they_o alike_o and_o equal_a unto_o the_o other_o yet_o about_o the_o tropick_n their_o figure_n be_v limit_v with_o a_o great_a compass_n then_o toward_o the_o polare_fw-la circle_n the_o accidental_a nature_n of_o the_o zone_n be_v that_o in_o regard_n whereof_o they_o be_v say_v to_o be_v mean_a extreme_a and_o between_o mean_a and_o extreme_a the_o mean_a or_o burn_a zone_n be_v divide_v into_o 2._o part_n whereof_o the_o one_o be_v situate_v under_o the_o equator_fw-la the_o other_o about_o the_o tropicke_n that_o part_n which_o be_v situate_v under_o the_o equator_fw-la seem_v to_o be_v temperate_a and_o that_o for_o three_o cause_n 1._o by_o reason_n of_o the_o sudden_a and_o cross_a access_n and_o recess_n of_o the_o sun_n 2._o by_o reason_n of_o the_o continual_a equality_n of_o the_o night_n and_o day_n in_o that_o place_n 3._o by_o reason_n of_o the_o swift_a carry_v about_o of_o the_o ☉_o by_o the_o first_o motion_n that_o part_n which_o be_v situate_v under_o the_o tropicke_n be_v hard_o to_o be_v inhabit_v and_o that_o also_o for_o 3._o cause_n 1._o for_o the_o slow_a conversion_n of_o the_o ☉_o 2._o for_o the_o double_a projection_n of_o the_o sunbeam_n upon_o those_o place_n 3._o for_o the_o great_a increase_n of_o the_o summer_n day_n above_o the_o night_n the_o extreme_a zone_n be_v both_o of_o they_o freeze_a by_o reason_n of_o the_o too_o much_o cold_a that_o fall_v out_o there_o by_o mean_n of_o the_o oblique_a projection_n and_o reflection_n of_o the_o sun_n beam_n the_o zone_n between_o mean_a and_o extreme_a be_v both_o of_o they_o temperate_a and_o be_v divide_v into_o 3._o region_n whereof_o one_o be_v situate_v about_o the_o middle_a part_n thereof_o which_o we_o judge_v simple_o to_o be_v temperate_a by_o reason_n of_o the_o moderate_a heat_n of_o the_o ☉_o namely_o from_o 34._o gr_n unto_o 48._o gr_n distance_n from_o the_o equator_fw-la the_o other_o 2._o region_n be_v about_o the_o extreme_n thereof_o the_o one_o be_v about_o the_o tropick_n and_o so_o subject_a unto_o the_o intemperate_a heat_n of_o the_o burn_a zone_n the_o other_o nigh_o unto_o the_o polares_fw-la and_o therefore_o subject_a unto_o the_o intemperate_a cold_n of_o the_o freeze_a zone_n the_o reason_n how_o all_o place_n upon_o the_o earth_n may_v be_v refer_v unto_o those_o zone_n have_v two_o consideration_n 1._o if_o the_o place_n have_v septentrional_a latitude_n and_o that_o less_o than_o the_o great_a declination_n of_o the_o ☉_o they_o belong_v unto_o the_o burn_a zone_n if_o equal_a unto_o the_o trop_fw-fr of_o ♋_o if_o great_a and_o yet_o not_o exceed_v ♋_o gr_n 30._o mi._n they_o belong_v unto_o the_o temperate_a zone_n if_o the_o say_v septentrional_a latitude_n be_v equal_a unto_o the_o compliment_n of_o the_o great_a obliquation_n they_o must_v be_v place_v under_o the_o arctic_a circle_n if_o great_a under_o the_o freeze_a zone_n 2._o if_o the_o
be_v call_v civil_a or_o natural_a the_o other_o artificial_a in_o the_o civil_a or_o natural_a day_n we_o may_v consider_v the_o definition_n the_o distinction_n and_o the_o cause_n of_o inequality_n the_o definition_n respect_v either_o the_o name_n or_o the_o thing_n itself_o it_o be_v call_v either_o natural_a as_o cause_v by_o the_o natural_a or_o regular_fw-la motion_n of_o the_o whole_a or_o 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d by_o prolemee_n as_o consist_v of_o the_o night_n and_o day_n together_o or_o else_o civil_a because_o all_o nation_n natural_o do_v term_v it_o a_o day_n the_o definition_n respect_v the_o thing_n be_v that_o according_a to_o which_o it_o be_v define_v to_o be_v the_o space_n of_o 24._o hour_n and_o certain_a minute_n consist_v of_o light_n and_o darkness_n the_o definition_n thereof_o be_v in_o respect_n of_o the_o continuance_n and_o length_n of_o the_o day_n and_o thereof_o one_o be_v call_v inequal_a or_o different_a also_o the_o true_a and_o apparent_a day_n the_o greek_n call_v it_o 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d irregulare_fw-la another_o the_o equal_a or_o mean_a day_n the_o inequal_a or_o different_a day_n be_v the_o space_n of_o 24._o hour_n and_o so_o many_o minute_n as_o be_v answerable_a unto_o each_o portion_n of_o the_o zodiac_n which_o the_o ☉_o do_v daily_a run_v over_o the_o equal_a or_o indifferent_a day_n be_v the_o space_n of_o 24._o hour_n and_o so_o many_o minute_n as_o be_v answerable_a unto_o the_o quatity_n of_o the_o mean_a motion_n of_o the_o ☉_o in_o one_o day_n which_o be_v 59_o gr_n 8._o mi._n the_o cause_n of_o the_o inequality_n happen_v unto_o the_o true_a natural_a day_n either_o in_o a_o right_n or_o in_o a_o oblique_a sphere_n the_o cause_n of_o the_o inequality_n happen_v in_o a_o right_a sphere_n be_v through_o the_o inequal_a augmentation_n by_o mean_n either_o of_o the_o equinoctial_a ascension_n inequal_o answer_v the_o same_o by_o reason_n of_o the_o obliquity_n of_o the_o zodiac_n orel_n of_o the_o motion_n of_o the_o ☉_o which_o about_o the_o centre_n of_o the_o world_n be_v inequal_a the_o cause_n of_o the_o inqualitye_n of_o the_o day_n happen_v in_o a_o oblique_a sphere_n be_v through_o the_o inequal_a augmentation_n appertein_v either_o to_o the_o equinoctial_a ascension_n inequal_o answer_v the_o same_o by_o reason_n of_o the_o obliquity_n aswell_o of_o the_o horizon_n as_o of_o the_o zodiac_n or_o else_o to_o the_o eccentricke_a circle_n of_o the_o ☉_o wherein_o the_o ☉_o run_v do_v in_o equal_a time_n perform_v a_o inequal_a motion_n the_o artificial_a day_n be_v handle_v in_o the_o chap._n follow_v of_o the_o artificial_a day_n and_o night_n and_o the_o diversity_n belong_v to_o they_o both_o chap._n 37._o the_o ☉_o carry_v about_o by_o the_o first_o motion_n distinguish_v the_o naturaall_a day_n into_o two_o part_n whereof_o the_o one_o be_v call_v the_o artificial_a day_n the_o other_o the_o artificial_a night_n concern_v the_o artificial_a day_n astronomy_n deliver_v the_o definition_n and_o the_o proportion_n thereof_o the_o definition_n contain_v the_o author_n and_o the_o term_n thereof_o the_o author_n of_o the_o artificial_a day_n be_v the_o ☉_o who_o carry_v about_o by_o the_o first_o motion_n describe_v in_o the_o day_n time_n a_o certain_a ark_n the_o term_n be_v either_o from_o whence_o that_o be_v from_o the_o easterlie_fw-mi part_n of_o the_o horizon_n or_o by_o what_o that_o be_v by_o the_o vertical_a meridian_n or_o unto_o what_o that_o be_v unto_o the_o westerly_a part_n of_o the_o horizon_n the_o proportion_n of_o the_o artificial_a day_n be_v deliver_v in_o so_o much_o as_o appertain_v unto_o the_o length_n thereof_o either_o in_o a_o right_a or_o in_o a_o oblique_a sphere_n in_o a_o right_a sphere_n it_o be_v always_o equal_a unto_o it_o self_n and_o to_o the_o night_n by_o reason_n of_o the_o equality_n both_o of_o the_o ascension_n for_o the_o one_o half_a of_o the_o equator_fw-la do_v always_o equal_o ascend_v and_o descend_v with_o six_o sign_n of_o the_o zodiac_n and_o of_o the_o diurnal_a and_o nocturnal_a segment_n in_o a_o oblique_a sphere_n the_o day_n to_o themselves_o and_o to_o the_o night_n be_v either_o equal_a or_o inequal_a the_o day_n be_v equal_a both_o to_o themselves_o and_o to_o the_o night_n in_o the_o equinoctial_a by_o reason_n of_o the_o equality_n both_o of_o the_o ascension_n for_o look_v how_o great_a the_o ascension_n of_o the_o diurnal_a ark_n be_v so_o great_a also_o be_v the_o descension_n of_o the_o nocturnal_a &_o of_o the_o segment_n which_o the_o ☉_o describe_v the_o say_a segment_n be_v incident_a with_o the_o equator_fw-la the_o day_n be_v inequal_a both_o among_o themselves_o and_o to_o the_o night_n when_o the_o ☉_o have_v pass_v the_o equinoctial_a point_n aswell_o by_o reason_n of_o the_o diversity_n of_o the_o ascension_n of_o the_o sign_n as_o also_o by_o reason_n of_o the_o sun_n inequal_a describe_v of_o the_o parallel_n by_o the_o motion_n of_o the_o world_n the_o artificial_a night_n geve_v we_o to_o consider_v the_o definition_n and_o the_o measure_n it_o be_v define_v to_o be_v the_o part_n remain_v of_o the_o natural_a day_n comprehend_v the_o space_n between_o the_o set_n of_o the_o ☉_o and_o the_o rise_n thereof_o the_o measure_n thereof_o be_v either_o equal_a or_o inequal_a the_o equality_n of_o measure_n fall_v out_o in_o the_o right_a sphere_n always_o in_o a_o oblique_a sphere_n two_o time_n in_o the_o year_n the_o inequality_n of_o measure_n have_v notwithstanding_o either_o a_o like_a diversity_n in_o the_o sign_n equidistant_a from_o the_o equator_fw-la or_o alternate_a in_o opposite_a point_n of_o the_o reason_n of_o the_o equal_a and_o inequal_a hour_n chap._n 38._o have_v thus_o set_v down_o the_o description_n of_o the_o day_n it_o fall_v out_o now_o to_o entreat_v of_o their_o part_n common_o call_v hour_n whereof_o we_o must_v consider_v the_o general_a reason_n and_o the_o division_n the_o general_a reason_n attend_v their_o definition_n their_o number_n and_o their_o subdivision_n they_o be_v define_v to_o be_v that_o space_n of_o time_n wherein_o the_o 24._o part_n or_o 15._o gr_n either_o of_o the_o equator_fw-la or_o of_o the_o ecliptic_a do_v full_o arise_v they_o be_v in_o number_n 24._o belong_v unto_o every_o natural_a day_n every_o hour_n be_v subdivide_v into_o 60._o minute_n every_o minute_n into_o 60._o second_n etc._n etc._n the_o division_n of_o the_o hour_n consist_v in_o this_o that_o either_o they_o be_v reckon_v in_o the_o ecliptic_a or_o else_o in_o the_o equator_fw-la those_o that_o be_v take_v in_o the_o ecliptic_a the_o ascension_n whereof_o do_v vary_v be_v call_v inequal_a hour_n whereof_o the_o name_n the_o definition_n and_o the_o number_n be_v to_o be_v note_v they_o be_v call_v natural_a by_o io._n de_fw-la sacro_fw-la bosco_fw-la and_o temporal_a and_o artificial_a and_o planetary_a they_o be_v define_v to_o be_v the_o space_n of_o time_n wherein_o the_o moiety_n of_o a_o sign_n of_o the_o zodiac_n count_v from_o the_o place_n of_o the_o ☉_o or_o the_o opposite_a thereof_o do_v ascend_v their_o number_n be_v as_o much_o by_o day_n as_o by_o night_n for_o 6._o sign_n of_o the_o ecl._n do_v always_o arise_v aswell_o by_o day_n as_o by_o night_n the_o hour_n that_o be_v reckon_v in_o the_o equator_fw-la which_o arise_v uniformelie_o be_v call_v equal_a hour_n whereof_o we_o be_v in_o like_a manner_n to_o note_v the_o name_n the_o definition_n and_o the_o number_n they_o be_v call_v natural_a by_o many_o and_o equinoctial_a hour_n they_o be_v define_v to_o be_v that_o space_n of_o time_n wheâ—_n in_o 15_o gr_n of_o the_o equator_fw-la do_v full_o arise_v their_o number_n be_v always_o inequal_a save_v in_o the_o 2._o equinoctial_a season_n for_o at_o other_o time_n 6._o sign_n of_o the_o equator_fw-la do_v not_o everye_o day_n complete_o arise_v and_o set_v of_o the_o diverse_a accident_n of_o diverse_a part_n of_o the_o earth_n according_a to_o the_o diverse_a situation_n of_o the_o sphere_n chap._n 39_o the_o situation_n of_o every_o place_n and_o region_n on_o the_o earth_n be_v in_o the_o space_n either_o of_o the_o burn_v or_o temperate_a or_o freeze_a zone_n the_o place_n situate_v in_o the_o burn_a zone_n be_v either_o in_o the_o mean_a space_n or_o between_o mean_a &_o extreme_a or_o in_o the_o extreme_n their_o situation_n that_o be_v in_o the_o mean_a space_n differ_v from_o the_o rest_n 1._o in_o the_o 4._o sort_n of_o shadow_n which_o they_o have_v viz._n septentrional_a meridional_a oriental_a and_o occidental_a 2._o in_o their_o 4._o solstice_n which_o they_o have_v two_o be_v high_a in_o ♈_o &_o ♎_o and_o two_o low_a in_o ♋_o &_o ♑_o 3._o in_o their_o continual_a equinoctialle_n 4._o in_o their_o two_o winter_n and_o two_o somers_n those_o that_o have_v their_o
on_o the_o one_o side_n long_o from_z whence_o be_v derive_v figure_n long_o and_o broad_a as_o pillar_n or_o cylinder_n or_o else_o they_o be_v of_o other_o sort_n which_o be_v infinite_a from_o whence_o diverse_a form_n and_o kind_n of_o body_n be_v draw_v the_o regular_fw-la body_n contain_v under_o surface_n fold_v one_o towards_o another_o be_v only_o these_o 5._o the_o tetraedrons_n the_o hexaedrons_n the_o octaedrons_n the_o dodecaedrons_n and_o the_o lcosaedron_n irregulare_fw-la body_n be_v such_o as_o inequal_a surface_n do_v limit_n and_o describe_v the_o which_o surface_n be_v either_o turn_v round_o or_o fold_a one_o towards_o another_o the_o surface_v turn_v round_o and_o make_v irregulare_fw-la bodies_z be_v either_o the_o section_n of_o circle_n or_o else_o they_o be_v inequal_a right_n line_v figure_n the_o section_n of_o circle_n be_v either_o great_a than_o a_o semicircle_n whereof_o the_o lenticulare_a body_n be_v make_v or_o else_o they_o be_v less_o than_o a_o semicircle_n and_o thereby_o be_v the_o onalle_n make_v the_o inequal_a right_n line_v figure_n by_o who_o conversion_n the_o irregulare_fw-la body_n be_v make_v may_v be_v of_o what_o sort_n soever_o whereby_o diverse_a kind_n of_o vessel_n be_v frame_v either_o want_v or_o exceed_v the_o regular_fw-la form_n the_o irregulare_fw-la body_n mà de_v of_o inequal_a surface_n fold_v one_o towards_o another_o may_v differ_v infinite_o of_o the_o name_n and_o definition_n of_o the_o sphere_n chap._n 6._o in_o as_o much_o as_o we_o make_v often_o mention_v of_o the_o sphere_n and_o thereafter_o do_v entitle_v this_o present_a treatise_n the_o doctrine_n of_o the_o sphere_n it_o shall_v not_o be_v amiss_o to_o declare_v the_o name_n and_o the_o definition_n thereof_o the_o name_n be_v use_v in_o diverse_a signification_n 1._o it_o signify_v sometime_o any_o solid_a regular_fw-la body_n limit_v with_o one_o surface_n only_o 2._o sometime_o it_o signify_v a_o instrument_n that_o do_v instisie_n the_o apparence_n of_o heaven_n and_o contain_v the_o celestial_a circle_n and_o be_v otherwise_o term_v a_o ring_n or_o material_a sphere_n 3._o sometime_o it_o signify_v the_o whole_a world_n whereunto_o all_o the_o condition_n of_o the_o sphere_n may_v be_v apply_v for_o it_o be_v a_o solid_a body_n wherein_o nature_n abhor_v that_o any_o emptiness_n shall_v be_v giuâ—_fw-la it_o have_v a_o spherical_a form_n run_v daily_o about_o his_o own_o axis_n without_o intermission_n it_o have_v a_o point_n place_v in_o the_o midst_n thereof_o namely_o the_o earth_n the_o definition_n thereof_o as_o it_o signify_v any_o body_n be_v by_o io._n desacro_fw-la baseo_fw-la set_v down_o two_o way_n the_o one_o after_o encl._n 11._o elem._n the_o other_o out_o of_o theodosius_n the_o definition_n thereof_o take_v out_o of_o euclid_n contain_v the_o geometrical_a description_n of_o the_o sphere_n for_o the_o sphere_n be_v describe_v by_o the_o fix_a and_o unmoved_a diameter_n and_o by_o the_o aâ—ke_n of_o the_o semicircle_n which_o must_v be_v full_o bring_v about_o the_o definition_n of_o a_o sphere_n according_a to_o theodosius_n determine_v first_o the_o orbiculate_a form_n every_o part_n whereof_o be_v equal_o distant_a from_o the_o centre_n second_o the_o principal_a part_n as_o the_o convexe_n surface_n which_o be_v but_o one_o and_o the_o centre_n that_o be_v the_o point_n in_o the_o midst_n equidistant_a from_o every_o part_n of_o the_o surface_n and_o the_o axis_n about_o which_o the_o sphere_n be_v turn_v and_o which_o be_v limit_v by_o the_o 2_o pole_n viz._n the_o north_n pole_n or_o pole_n arctic_a and_o the_o south_n pole_n or_o pole_n antarcticke_a and_o three_o the_o solidity_n for_o it_o be_v a_o complete_a body_n have_v all_o the_o dimension_n the_o division_n of_o the_o celestial_a sphere_n chap._n 7._o the_o celestial_a sphere_n according_a to_o io._n de_fw-fr sacro_fw-la bosco_fw-la admit_v a_o double_a division_n according_a to_o substance_n and_o according_a to_o accident_n the_o celestial_a sphere_n consider_v according_a to_o the_o substance_n be_v divide_v into_o several_a orb_n in_o the_o which_o we_o be_v to_o note_v the_o number_n and_o the_o cause_n the_o number_n be_v diverse_o set_v down_o for_o the_o ancients_n content_v themselves_o with_o 8._o orb_n only_o do_v distinguish_v they_o into_o the_o orb_n of_o the_o 7._o planet_n viz_o of_o ♄_o ♃_o ♂_o ☉_o ♀_o ☿_o and_o ☽_o and_o the_o firmament_n of_o the_o fix_a star_n and_o the_o late_a astronomer_n unto_o the_o time_n of_o alphonsus_n into_o 9_o orb_n but_o the_o modern_a among_o who_o purbachius_n be_v the_o first_o add_v the_o ten_o the_o cause_n be_v consider_v either_o in_o the_o diversity_n of_o their_o number_n note_v both_o by_o the_o former_a and_o late_a astronomer_n or_o in_o their_o order_n the_o ancient_a astronomer_n note_v their_o diverse_a number_n either_o by_o the_o brightness_n of_o the_o star_n reckon_n so_o many_o orb_n as_o they_o perceive_v to_o contain_v any_o star_n or_o by_o the_o peculiar_a motion_n of_o each_o several_a orb_n reckon_n so_o many_o orb_n as_o they_o find_v simple_a motion_n belong_v thereunto_o the_o late_a astronomer_n for_o instruction_n and_o the_o better_a reconing_n sake_n add_v the_o nine_o and_o the_o ten_o as_o circle_n necessary_a for_o the_o understanding_n of_o the_o motion_n of_o the_o 8._o sphere_n unknown_a unto_o the_o ancient_a astronomer_n the_o order_n be_v prove_v 1._o by_o the_o slow_a motion_n of_o the_o high_a and_o the_o swift_a motion_n of_o the_o low_a orb_n 2._o by_o the_o occultation_n or_o hide_v of_o the_o high_a star_n by_o the_o low_a 3._o by_o the_o diversity_n of_o apect_n either_o great_a or_o little_a or_o insensible_a the_o celestial_a sphere_n consider_v according_a unto_o accident_n that_o be_v according_a to_o the_o situation_n of_o the_o heaven_n or_o the_o course_n of_o the_o star_n be_v distinguish_v into_o a_o right_n or_o a_o oblique_a sphere_n the_o right_a sphere_n belong_v unto_o those_o that_o dwell_v under_o the_o equinoctial_a who_o by_o reason_n that_o the_o pole_n of_o the_o world_n about_o the_o which_o the_o star_n be_v carry_v by_o the_o first_o movable_a have_v none_o elevation_n as_o also_o for_o that_o the_o horizon_n cut_v all_o the_o parallel_n under_o which_o the_o star_n do_v go_v at_o right_a angle_n perceive_v no_o reflection_n in_o the_o diurnal_a motion_n of_o the_o star_n the_o sphere_n be_v say_v to_o be_v oblique_a wherein_o the_o o_o and_o the_o rest_n of_o the_o star_n be_v carry_v from_o the_o east_n into_o the_o west_n by_o a_o oblique_a motion_n and_o it_o be_v septentrional_a unto_o those_o that_o have_v the_o north_n pole_n elevate_v and_o meridional_a unto_o those_o under_o the_o southern_a elevation_n the_o partition_n of_o the_o whole_a world_n and_o the_o comparison_n of_o the_o celestial_a with_o the_o elemental_a sphere_n chap._n 8._o the_o whole_a frame_n of_o the_o world_n be_v make_v of_o some_o certain_a and_o those_o more_o principal_a and_o notable_a part_n whereof_o there_o be_v first_o the_o number_n and_o the_o name_n and_o then_o the_o difference_n to_o be_v consider_v the_o number_n and_o name_n be_v double_a for_o the_o part_n be_v either_o ethereal_a or_o sublunare_v the_o aethereal_a that_o be_v the_o celestial_a part_n without_o the_o which_o philosophy_n admit_v nothing_o to_o be_v although_o the_o divine_n do_v add_v the_o three_o which_o they_o call_v angelical_a and_o the_o platonic_n intellectual_a be_v that_o whereof_o we_o entreat_v in_o the_o 7._o chapter_n the_o sublunare_n be_v that_o which_o contain_v the_o elemental_a body_n and_o those_o either_o simple_a as_o the_o fire_n the_o aer_fw-la the_o water_n the_o earth_n or_o else_o mix_v which_o be_v diverse_a and_o innumerable_a engender_v of_o the_o 4._o element_n either_o perfect_a or_o imperfect_a the_o difference_n or_o dissimilitude_n of_o the_o part_n of_o the_o world_n be_v that_o whereby_o they_o be_v distinguish_v one_o from_o another_o either_o in_o respect_n of_o their_o situation_n or_o of_o their_o dignity_n magnitude_n motion_n or_o their_o office_n they_o be_v distinguish_v according_a to_o their_o situation_n for_o the_o celestial_a part_n have_v obtain_v the_o high_a place_n the_o elemental_a the_o low_a their_o distinction_n according_a to_o dignity_n be_v note_v in_o the_o part_n contain_v by_o the_o celestial_a region_n which_o part_n be_v bright_a and_o immortal_a and_o by_o the_o elemental_a region_n those_o part_n be_v of_o their_o own_o nature_n obscure_a and_o decay_a or_o else_o it_o be_v note_v in_o the_o part_n contain_v whereof_o the_o one_o be_v altogether_o with_o out_o alteration_n neither_o increase_v nor_o diminish_v the_o other_o be_v continual_o subject_a unto_o generation_n and_o corruption_n and_o be_v increase_v and_o diminish_v their_o distinction_n according_a to_o their_o magnitude_n be_v consider_v in_o that_o the_o celestial_a part_n with_o the_o great_a
argument_n be_v derive_v from_o the_o consutation_n of_o 2._o opinion_n whereof_o the_o one_o suppose_v thà t_v the_o motion_n of_o the_o heaven_n be_v direct_a and_o instnite_a which_o if_o it_o be_v the_o star_n shall_v vanish_v out_o of_o our_o sight_n the_o other_o that_o the_o star_n in_o their_o set_n be_v quench_v and_o in_o their_o rise_n be_v light_v again_o as_o heraclitus_n affirm_v which_o be_v absurd_a both_o in_o respect_n of_o the_o motion_n which_o be_v perpetual_a and_o constant_a in_o itself_o and_o of_o the_o contrary_a power_n which_o can_v be_v in_o the_o earth_n as_o also_o in_o regard_n of_o our_o antipode_n who_o west_n be_v our_o east_n the_o second_o argument_n be_v draw_v from_o the_o dignity_n thereof_o for_o the_o circular_a motion_n be_v the_o most_o worthy_a and_o more_o perfect_a than_o the_o right_a motion_n inasmuch_o as_o it_o breed_v no_o scission_n or_o cut_n and_o be_v make_v about_o the_o midst_n of_o the_o whole_a not_o by_o displace_v the_o whole_a body_n but_o by_o the_o only_o unchangeable_a succession_n of_o the_o situation_n of_o the_o part_n the_o criculare_a figure_n of_o the_o heaven_n be_v prove_v partly_o by_o similitude_n and_o partly_o by_o reason_n the_o similitude_n be_v this_o namely_o that_o this_o sensible_a world_n be_v the_o image_n of_o the_o first_o archetype_n or_o pattern_n of_o the_o world_n who_o be_v without_o beginning_n or_o end_n the_o reason_n do_v contain_v either_o the_o commodity_n of_o the_o circular_a figure_n or_o the_o necessity_n the_o commodity_n consist_v either_o in_o the_o capacity_n or_o else_o in_o the_o swistnes_n or_o aptness_n unto_o motion_n the_o capacity_n be_v sit_v for_o the_o heaven_n in_o that_o they_o be_v to_o comprehend_v all_o other_o thing_n fot_o the_o circular_a figure_n be_v the_o grate_a of_o alother_n circumscribe_v with_o equal_a conneâ—ities_n the_o sâ—â—stâ—es_n or_o aptness_n unto_o 〈◊〉_d be_v either_o belong_v unto_o the_o diurnal_a motion_n call_v also_o the_o right_a hand_n monon_o nature_n all_o unto_o the_o 〈◊〉_d storel_n unto_o the_o second_o motion_n which_o resist_v the_o former_a their_o ason_n draw_v from_o the_o necessity_n of_o the_o circular_a figure_n be_v either_o in_o respect_n of_o the_o whole_a world_n for_o if_o the_o 〈◊〉_d be_v of_o any_o other_o figure_n there_o must_v needs_o be_v some_o empty_a place_n and_o a_o body_n without_o a_o place_n for_o elsan_n regard_n of_o the_o celestial_a orb_n which_o gather_v can_v not_o be_v tarn_v about_o by_o diverse_a motion_n or_o else_o they_o shall_v suffer_v a_o scission_n or_o cut_v in_o sunder_o not_o without_o their_o great_a hurt_n there_o be_v one_o sarface_n of_o the_o earth_n and_o water_n and_o that_o be_v round_o chap._n 12._o the_o earth_n and_o the_o water_n make_v one_o globe_n and_o it_o be_v prove_v by_o cause_n either_o general_a or_o special_a the_o general_a cause_n belong_v unto_o both_o the_o element_n make_v up_o in_o one_o form_n and_o be_v derive_v from_o 3._o head_n first_o from_o the_o signification_n of_o the_o worder_n for_o both_o in_o common_a speech_n and_o in_o the_o scripture_n it_o be_v call_v orbis_n terra_fw-la the_o globe_n of_o the_o earth_n or_o the_o round_a world_n second_o from_o the_o spherical_a form_n aswell_o of_o the_o heaven_n into_o who_o round_a compass_n inasmuch_o as_o it_o be_v include_v it_o can_v be_v but_o it_o must_v also_o be_v round_o as_o also_o of_o the_o shadow_n that_o this_o globe_n do_v cast_v forth_o for_o the_o master_n of_o perspective_n do_v teach_v we_o that_o such_o be_v the_o dark_a body_n as_o be_v the_o shadow_n thereof_o thirdlye_o from_o the_o natural_a descend_v of_o the_o portion_n either_o of_o the_o earth_n the_o say_a portion_n covet_v the_o centre_n of_o the_o globe_n and_o fall_v upon_o the_o surface_n of_o the_o earth_n at_o right_a angle_n or_o else_o of_o the_o water_n sink_v also_o into_o the_o centre_n of_o the_o world_n for_o the_o which_o their_o descend_a they_o gather_v themselves_o into_o a_o round_a form_n and_o can_v abide_v upon_o a_o plane_n surrace_n the_o special_a cause_n be_v such_o as_o decern_v the_o roundness_n of_o the_o earth_n and_o of_o the_o water_n particulare_o the_o roundness_n of_o the_o earth_n be_v decern_v two_o way_n the_o one_o be_v according_a unto_o longitude_n from_o the_o last_o towards_o the_o west_n or_o contrariwise_o and_o that_o either_o by_o all_o the_o star_n which_o in_o diverse_a place_n do_v not_o appear_v at_o the_o same_o instant_n or_o else_o cheâ—sely_o by_o the_o ☽_o who_o eclipse_n fall_v out_o at_o one_o and_o the_o same_o time_n but_o by_o those_o in_o the_o east_n reckon_v one_o way_n by_o those_o in_o the_o west_n another_o the_o other_o be_v according_a unto_o latitude_n from_o the_o equator_fw-la toward_o each_o pole_n gather_v by_o the_o unlike_a elevation_n of_o the_o pole_n and_o inequal_a quantity_n of_o the_o day_n both_o which_o increase_n unto_o those_o that_o go_v from_o the_o equator_fw-la towards_o the_o north_n or_o south_n the_o roundness_n of_o the_o water_n be_v decern_v by_o token_n derive_v from_o the_o swell_n of_o the_o drop_n either_o hang_v or_o throw_v upon_o the_o dust_n or_o lay_v upon_o the_o moss_n of_o bough_n as_o also_o from_o the_o swell_n of_o the_o sea_n by_o mean_n whereof_o the_o land_n can_v be_v see_v from_o the_o ship_n below_o although_o from_o the_o main_a top_n it_o may_v and_o again_o if_o any_o shine_a thing_n be_v sasten_v to_o the_o top_n of_o a_o ship_n say_v fair_a from_o the_o shore_n it_o deseend_v by_o little_a and_o little_a according_a as_o the_o ship_n run_v further_o off_o and_o at_o the_o last_o be_v hide_v from_o the_o sight_n the_o situation_n immobilitie_n and_o magnitude_n of_o the_o terrestrial_a globe_n chap._n 13._o the_o earth_n or_o globe_n of_o the_o earth_n and_o water_n have_v situation_n rest_n and_o magnitude_n the_o situation_n as_o be_v in_o the_o centre_n or_o the_o place_n of_o the_o world_n far_a distant_a from_o the_o extremity_n thereof_o be_v prove_v by_o argument_n either_o direct_a or_o indirect_a the_o direct_a be_v derive_v from_o the_o nature_n of_o the_o break_a part_n express_v either_o physicallye_n or_o astronomical_o physical_o because_o wheresoever_o they_o be_v about_o the_o earth_n we_o alwate_v observe_v they_o that_o of_o their_o own_o inclination_n they_o tend_v downward_o but_o the_o centre_n be_v the_o low_a place_n astronomical_o inasmuch_o as_o all_o the_o semidiameter_n of_o the_o world_n by_o which_o heavy_a thing_n descend_v be_v continue_v through_o the_o centre_n of_o the_o world_n and_o there_o they_o cut_v one_o another_o so_o that_o where_o the_o section_n be_v make_v there_o must_v needs_o be_v the_o place_n of_o the_o earth_n the_o indirect_a argument_n consist_v in_o two_o supposition_n the_o one_o that_o the_o earth_n be_v in_o the_o axis_n of_o the_o motion_n of_o the_o heaven_n towardé_v one_o side_n &_o then_o shall_v be_v take_v away_o the_o apparent_a reason_n of_o the_o middle_a heaven_n the_o reason_n of_o the_o shadow_n equinoctial_a solstitial_a and_o plagall_a and_o the_o reason_n of_o the_o universal_a equinoctialle_n the_o other_o supposition_n that_o the_o earth_n be_v without_o the_o axis_n remove_v from_o the_o pole_n either_o to_o the_o east_n or_o to_o the_o westward_n and_o then_o shall_v be_v take_v away_o both_o in_o the_o rise_n and_o set_v the_o equal_a quantity_n both_o of_o the_o dare_v shadow_n and_o star_n the_o rest_n of_o the_o earth_n exclude_v all_o local_a motion_n either_o right_a or_o circulate_v the_o right_a motion_n be_v that_o which_o be_v make_v from_o the_o midst_n and_o it_o be_v either_o natural_a and_o peculiar_a unto_o the_o earth_n for_o otherwise_o it_o shall_v come_v to_o pass_v that_o heavy_a thing_n shall_v ascend_v or_o else_o it_o be_v violent_a some_o outward_a thing_n insorce_v it_o for_o otherwise_o it_o shall_v come_v to_o pass_v that_o the_o earth_n shall_v forsake_v the_o centre_n of_o the_o world_n the_o earth_n have_v no_o circular_a motion_n neither_o from_o the_o west_n to_o the_o eastward_o as_o some_o have_v think_v for_o if_o it_o have_v all_o thing_n that_o be_v move_v in_o the_o aer_fw-la shall_v always_o be_v move_v to_o the_o westward_o neither_o from_o the_o last_o to_o the_o westward_n by_o the_o dâ—â—n_a awl_n motion_n for_o than_o it_o shall_v be_v a_o hard_a matter_n to_o travail_v towards_o the_o east_n then_o towards_o the_o west_n the_o magnitude_n of_o the_o earth_n be_v nothing_o be_v compare_v either_o with_o the_o whole_a world_n whereof_o it_o be_v the_o centre_n which_o be_v prove_v by_o mathematical_a instrument_n that_o agree_v with_o the_o centre_n of_o the_o world_n for_o they_o at_o one_o time_n and_o through_o the_o same_o sight_n hole_n show_v two_o star_n opposite_a in_o the_o
diameter_n or_o else_o be_v compare_v but_o with_o the_o orb_n of_o the_o ☉_o which_o be_v prove_v by_o the_o equal_a space_n of_o the_o day_n and_o night_n the_o measure_n of_o the_o compass_n of_o the_o earth_n chap._n 14._o the_o circumference_n of_o the_o globe_n of_o the_o earth_n and_o water_n be_v find_v out_o by_o the_o rule_n of_o four_o proportional_a number_n in_o which_o rule_n 3._o number_n be_v give_v and_o the_o four_o be_v unknown_a the_o three_o number_n give_v which_o contain_v the_o proportion_n of_o a_o segment_n of_o a_o celestial_a circle_n unto_o the_o like_a space_n on_o the_o earth_n be_v 1._o the_o difference_n of_o latitude_n 2_o the_o viatorie_a distance_n 3._o the_o circumference_n of_o the_o whole_a heaven_n by_o the_o difference_n of_o latitude_n be_v understand_v so_o many_o celestial_a degree_n as_o any_o terrestrial_a place_n be_v distant_a asunder_o the_o viatorie_a distance_n be_v that_o terrestrial_a space_n of_o way_n that_o be_v answerable_a unto_o one_o degree_n or_o any_o other_o difference_n of_o latitude_n and_o it_o be_v find_v out_o 3_o manner_n of_o way_n first_o by_o the_o distance_n of_o any_o two_o place_n upon_o the_o earth_n situate_v under_o one_o meridian_n the_o say_a distance_n be_v precise_o try_v second_o by_o the_o latitude_n of_o both_o place_n either_o observe_v by_o instrument_n or_o take_v out_o of_o table_n thirdlye_o by_o subduct_v the_o less_o out_o of_o the_o great_a for_o so_o the_o difference_n of_o latitude_n shall_v appear_v whereunto_o the_o space_n of_o way_n know_v between_o the_o place_n give_v shall_v be_v answerable_a whereby_o unto_o each_o degree_n of_o a_o great_a circle_n in_o the_o heaven_n there_o be_v answerable_a upon_o the_o earth_n after_o ptolemee_n furlong_n 500_o pass_n 62500._o great_a league_n 15._o after_o eratosthenes_n surl_n 700._o pass_n 87500_o leag_n 21._o â…ž_n the_o circumference_n of_o the_o whole_a heaven_n contain_v 360._o gr_n be_v the_o 3._o number_n in_o the_o proportion_n 1_o for_o that_o of_o a_o little_a and_o of_o a_o great_a globe_n there_o be_v the_o like_a reason_n 2._o because_o the_o terrestrial_a meridian_n have_v the_o same_o centre_n with_o the_o celestial_a the_o four_o number_n of_o the_o proportion_n that_o be_v the_o circuit_n of_o the_o great_a circle_n in_o the_o earth_n have_v 2._o consideration_n the_o first_o be_v the_o manner_n of_o the_o search_v thereof_o and_o that_o be_v first_o by_o multiply_v the_o three_o number_n that_o be_v the_o circumference_n of_o the_o heaven_n by_o the_o second_o which_o contain_v the_o space_n of_o way_n upon_o earth_n and_o then_o by_o divide_v the_o product_n by_o the_o first_o which_o be_v the_o difference_n of_o latitude_n the_o second_o consideration_n be_v of_o the_o quotient_a or_o manifestation_n of_o the_o content_n which_o according_a to_o prolemee_n be_v mile_n 22550._o furl_n 180000._o pas_fw-fr 22500000._o great_a league_n 5400._o according_a to_o eratosthenes_n mile_n 61250._o furl_n 252000._o pass_n 61250000._o great_a league_n 7875._o the_o measure_n of_o the_o diameter_n and_o semidiameter_n of_o the_o earth_n as_o also_o of_o the_o area_n and_o surface_n thereof_o chap._n 15._o in_o measure_v the_o terrestrial_a globe_n we_o conder_n either_o the_o diameter_n or_o the_o semidiameter_n or_o the_o area_n or_o the_o connex_v surface_n thereof_o the_o diameter_n be_v measure_v by_o the_o proportion_n thereof_o unto_o the_o whole_a circumference_n by_o the_o rule_n of_o four_o proportional_a number_n wherein_o again_o three_o be_v give_v and_o the_o four_o be_v unknowen_a the_o three_o number_n give_v be_v thorough_o know_v and_o understand_v must_v be_v due_o place_v and_o they_o must_v contain_v two_o thing_n the_o first_o be_v the_o proportion_n of_o the_o circumference_n of_o a_o circle_n unto_o the_o diameter_n thereof_o which_o be_v tripla_fw-la sesquiseptima_fw-la that_o be_v to_o say_v the_o circumference_n be_v unto_o the_o diameter_n as_o 22._o be_v unto_o 7._o the_o second_o be_v the_o great_a circuit_n of_o the_o earth_n in_o any_o measure_n which_o be_v set_v down_o in_o the_o 14._o chapter_n the_o four_o number_n of_o the_o proportion_n be_v unknowen_a be_v the_o diameter_n which_o be_v seek_v first_o by_o multiply_v the_o third_o by_o the_o second_o which_o be_v 7._o &_o divide_v the_o product_n by_o the_o first_o which_o be_v 22._o then_o by_o subduct_v the_o 22._o part_n which_o come_v forth_o of_o the_o division_n of_o the_o circumference_n by_o 22._o out_o of_o the_o circumference_n &_o divide_v the_o remainder_n by_o 3._o whereupon_o arise_v the_o content_a of_o the_o diameter_n after_o ptolemee_n contain_v mile_n 7159_o 〈◊〉_d furl_n 57272_o 〈◊〉_d pass_v 7159090_o 10_o 11_o great_a leag_v 1718_o 〈◊〉_d after_o eratosih_n mâ—es_n 19488_o 7_o 11_o fur_n 80181_o 〈◊〉_d pass_v 1948863_o 〈◊〉_d great_a leag_n 2505_o 〈◊〉_d the_o semidiameter_n be_v the_o distance_n between_o the_o convex_n surface_n of_o the_o earth_n and_o he_o centre_n thereof_o which_o some_o do_v imagine_v to_o be_v the_o place_n of_o helly_a the_o say_a distance_n be_v find_v two_o waâ—es_n 1_o by_o the_o proportion_n of_o the_o circle_n unto_o the_o semidiameter_n which_o be_v sâ—â—tuple_v over_o and_o beside_o 1_o 14_o or_o as_o 44_o be_v unto_o 7._o 2_o by_o divide_v the_o diameter_n into_o two_o part_n by_o which_o mean_v it_o shall_v be_v find_v to_o contain_v after_o ptolemec_n mile_n 3579_o ½_n furl_n 28636_o pass_n 3579545_o great_a leag_n 859_o 1_o 11_o after_o eratosthenes_n mile_n 9744._o furl_n 40090_o ½_n pass_v 974431._o great_a leag_n 12â—2_n ½_n the_o area_n or_o plane_n be_v find_v by_o multiply_v half_o the_o circuit_n of_o the_o earth_n take_v in_o any_o know_a measure_n by_o the_o semidiameter_n thereof_o the_o convex_n surface_n that_o cover_v the_o whole_a earth_n be_v find_v by_o multiply_v the_o terrestrial_a area_n or_o plane_n by_o 4._o the_o general_a definition_n and_o division_n of_o the_o circle_n chap._n 16._o in_o as_o much_o as_o the_o surface_n of_o the_o heaven_n be_v spherical_a and_o their_o motion_n circular_a therefore_o for_o the_o better_a conceive_v of_o the_o reason_n of_o the_o celestial_a motion_n they_o be_v distinguish_v into_o certain_a circle_n as_o part_n whereof_o we_o be_v to_o show_v the_o name_n &_o the_o division_n in_o the_o name_n we_o be_v to_o consider_v their_o acception_n and_o their_o diversity_n be_v notwithstanding_o all_o one_o in_o signification_n the_o acception_n of_o the_o name_n circle_n be_v of_o two_o sort_n geometrical_a and_o astronomical_a the_o geometrical_a acception_n be_v when_o a_o circle_n be_v take_v for_o a_o plane_n figure_n which_o one_o line_n equal_o distant_a from_o the_o centre_n do_v encompass_v the_o astronomical_a acception_n be_v other_o as_o it_o signify_v a_o circular_a line_n or_o a_o circumference_n want_v breadth_n or_o else_o a_o circular_a surface_n which_o have_v breadth_n thereunto_o adjoin_v the_o diversity_n of_o name_n all_o one_o in_o meaning_n be_v when_o circle_n be_v call_v amongst_o diverse_a author_n thread_n compass_n orb_n segment_n ring_n parallel_n &_o equidistant_a line_n the_o division_n of_o circle_n be_v diverslye_o deliver_v by_o the_o greek_n and_o latin_n in_o three_o respect_n first_o in_o respect_n of_o the_o material_a sphere_n within_o the_o which_o some_o of_o the_o circle_n be_v not_o place_v &_o be_v therefore_o call_v extrinsical_a fix_v and_o manisold_a as_o the_o orison_n and_o the_o meridian_n other_o be_v place_v within_o the_o sphere_n &_o be_v therefore_o call_v intrinsical_v movable_a and_o singular_a as_o be_v the_o two_o polares_fw-la the_o equator_fw-la the_o zodiac_n the_o two_o colour_n and_o the_o two_o tropicke_n second_o in_o respect_n of_o the_o pole_n of_o the_o world_n or_o the_o twofolde_a motion_n of_o the_o heaven_n and_o in_o this_o case_n the_o greek_n distinguish_v they_o again_o into_o three_o sort_n the_o first_o be_v parallel_n in_o number_n 5._o namely_o the_o 2._o polares_fw-la the_o 2._o tropick_n and_o the_o equator_fw-la all_o which_o have_v the_o same_o pole_n with_o the_o world_n be_v equidistant_a on_o all_o side_n and_o serve_v the_o first_o or_o universal_a motion_n the_o second_o be_v oblique_a circle_n in_o number_n 3._o namely_o the_o zodiac_n serve_v the_o second_o motion_n the_o horizon_n the_o milk_n way_n all_o the_o which_o lie_v oblique_a between_o the_o pole_n the_o third_o be_v those_o circle_n that_o be_v draw_v through_o the_o pole_n and_o they_o be_v also_o 3._o in_o number_n namely_o the_o equinoctial_a and_o solstitial_a colour_n and_o the_o meridian_n the_o third_o division_n of_o circle_n be_v in_o respect_n of_o their_o quantity_n according_a whereunto_o some_o circle_n be_v call_v great_a and_o some_o less_o the_o great_a circle_n be_v in_o number_n 6._o name_o the_o equator_fw-la the_o zodiac_n theâ—_n colour_n the_o horizon_n and_o the_o meridian_n all_o which_o be_v equal_a
equator_fw-la and_o true_a place_n of_o the_o starie_n it_o be_v divide_v into_o the_o septentrional_a and_o meridional_a declination_n the_o relation_n that_o the_o star_n have_v unto_o the_o zodiac_n be_v also_o two_o fold_n either_o according_a to_o the_o longitude_n of_o the_o zodrake_n or_o else_o according_a to_o the_o transuerse_a distance_n toward_o either_o of_o the_o pole_n in_o the_o longitude_n of_o the_o zodiac_n we_o be_v to_o consider_v the_o name_n and_o the_o definition_n it_o be_v call_v longitude_n for_o that_o it_o be_v recove_v longwaies_o on_o the_o circumference_n of_o the_o ecliptic_a it_o be_v also_o call_v the_o true_a motion_n of_o the_o star_n it_o be_v define_v to_o be_v the_o ark_n of_o the_o zodiac_n intercept_v between_o the_o head_n of_o ♈_o and_o the_o section_n of_o a_o great_a circle_n pass_v through_o the_o pole_n of_o the_o zodiac_n and_o the_o true_a place_n of_o the_o star_n in_o the_o transuerse_a distance_n we_o be_v to_o note_v the_o name_n the_o definition_n and_o the_o division_n it_o be_v call_v latitude_n because_o it_o be_v reckon_v according_a to_o the_o position_n that_o it_o have_v from_o some_o one_o side_n of_o the_o ecliptic_a it_o be_v define_v to_o be_v the_o ark_n of_o a_o great_a circle_n draw_v through_o the_o pole_n of_o the_o zodiac_n and_o the_o true_a place_n of_o the_o star_n the_o say_a ark_n be_v intercept_v between_o the_o zodiac_n and_o the_o centre_n of_o the_o star_n it_o be_v divide_v into_o the_o septentrional_a latitude_n when_o the_o star_n be_v under_o the_o northerly_a sign_n and_o into_o the_o meridional_a latitude_n when_o they_o be_v in_o the_o southerly_a sign_n of_o the_o propertion_n and_o supputation_n of_o the_o declination_n of_o every_o point_n of_o the_o ecliptic_a or_o the_o regard_n of_o the_o part_n of_o the_o zodtake_n unto_o the_o equator_fw-la chap._n 20._o in_o the_o declination_n of_o any_o point_n of_o the_o ecliptic_a 2._o thing_n be_v to_o be_v observe_v the_o proportion_n and_o the_o supputation_n in_o the_o proportion_n we_o may_v note_v also_o 2._o thing_n for_o either_o they_o have_v none_o obliquation_n or_o else_o their_o obliquation_n be_v equal_a those_o that_o have_v none_o obliquation_n be_v the_o head_n of_o ♈_o and_o ♎_o as_o be_v the_o common_a intersection_n of_o the_o equator_fw-la and_o the_o zodiac_n those_o that_o have_v equal_a obliquation_n be_v such_o as_o be_v equal_o distant_a from_o the_o equator_fw-la and_o they_o be_v either_o great_a obliquation_n or_o else_o the_o great_a the_o great_a obliquation_n be_v those_o that_o have_v any_o distance_n less_o than_o the_o great_a from_o either_o of_o the_o section_n and_o of_o that_o sort_n there_o be_v always_o four_o the_o great_a obliquation_n be_v those_o that_o have_v the_o great_a distance_n from_o the_o equator_fw-la as_o the_o head_n of_o ♋_o that_o s_o the_o summer_n solstice_n and_o the_o head_n of_o ♑_o that_o be_v the_o winter_n solstice_n the_o supputation_n be_v make_v either_o by_o the_o table_n of_o declination_n or_o of_o sines_n the_o table_n of_o declination_n be_v calculate_v in_o sundry_a place_n by_o astronomer_n and_o they_o consist_v of_o the_o 2._o side_n the_o area_n and_o of_o the_o two_o extremity_n or_o end_n the_o side_n be_v either_o at_o the_o right_a hand_n or_o at_o the_o left_a that_o at_o the_o left_a hand_n to_o be_v enter_v into_o when_o you_o have_v the_o sign_n in_o the_o top_n of_o the_o table_n and_o that_o on_o the_o right_a hand_n when_o the_o sign_n be_v in_o the_o foot_n thereof_o the_o area_n be_v that_o wherein_o at_o the_o common_a angle_n the_o declination_n be_v find_v the_o 2._o extremity_n be_v those_o that_o contain_v the_o sign_n of_o which_o extremity_n the_o one_o be_v call_v the_o top_n or_o upper_a part_n the_o other_o the_o foot_n or_o the_o nether_a patte_n of_o the_o table_n the_o supputation_n that_o be_v make_v by_o the_o table_n of_o sines_n be_v perform_v by_o the_o help_n of_o the_o rule_n of_o 4._o proportion_n all_o number_n wherein_o 3._o number_n be_v give_v and_o four_o be_v to_o be_v seek_v out_o the_o 3._o number_n give_v must_v contain_v the_o right_n sine_fw-la of_o the_o whole_a quadrant_a or_o of_o the_o semidiameter_n the_o right_a sine_fw-la of_o the_o great_a declination_n of_o the_o ☉_o and_o the_o right_a sine_fw-la of_o the_o distance_n of_o the_o point_n of_o the_o ecliptic_a give_v from_o the_o first_o section_n of_o the_o zodiac_n and_o the_o equator_fw-la the_o four_o number_n produce_v by_o multiplitation_n and_o division_n be_v the_o right_a sine_fw-la of_o the_o declination_n seek_v who_o subtended_a ark_n declare_v the_o number_n of_o degree_n of_o the_o 2._o circle_n call_v the_o colour_n distinguish_v the_o equinoctial_a and_o solstitial_a point_n chap._n 21._o forasmuch_o as_o there_o be_v certain_a point_n of_o the_o zodiac_n and_o the_o equator_fw-la more_o notable_a than_o the_o rest_n therefore_o the_o astronomer_n have_v think_v good_a to_o fit_v unto_o those_o point_n 2._o circle_n whereof_o we_o may_v consider_v the_o reason_n of_o their_o name_n their_o definition_n their_o number_n their_o figuration_n or_o description_n and_o their_o use_n they_o be_v terméd_v colour_n that_o be_v imperfect_a in_o 3._o respect_n 1._o because_o they_o appear_v always_o incomplete_a or_o maim_v the_o which_o thing_n notwithstanding_o seem_v to_o be_v common_a with_o diverse_a other_o circle_n 2._o because_o they_o have_v some_o part_n that_o do_v never_o arise_v 3._o because_o they_o be_v carry_v about_o after_o a_o imperfect_a manner_n &_o not_o according_a to_o the_o position_n of_o longitude_n as_o the_o motion_n of_o the_o heaven_n be_v the_o definition_n contain_v their_o magnitude_n their_o intersection_n and_o their_o motion_n as_o touch_v their_o magnitude_n they_o be_v of_o the_o number_n of_o the_o great_a circle_n as_o touch_v their_o intersection_n they_o cut_v one_o another_o in_o both_o the_o pole_n of_o the_o world_n at_o spherical_a right_a angle_n in_o their_o motion_n they_o be_v move_v together_o with_o the_o sphere_n their_o number_n be_v two_o whereof_o the_o one_o pass_v through_o the_o equinoctial_a point_n and_o the_o pole_n of_o the_o world_n and_o be_v call_v either_o the_o equinoctial_a colour_n or_o the_o distinguisher_n of_o the_o equinoctial_o the_o other_o pass_v through_o the_o solstitial_a point_n and_o the_o pole_n both_o of_o ecliptic_a and_o of_o the_o world_n and_o be_v call_v both_o the_o solstitial_a colour_n the_o distinguisher_n of_o the_o solstice_n and_o also_o the_o circle_n of_o the_o great_a declination_n their_o figuration_n be_v describe_v by_o the_o semidiameter_n of_o the_o world_n who_o revolution_n be_v ful_o perform_v through_o the_o pole_n of_o the_o world_n and_o the_o equinoctial_a point_n make_v the_o equinoctial_a colour_n but_o pass_v through_o the_o pole_n of_o the_o world_n and_o the_o solstitial_a point_n it_o make_v the_o solstitial_a colour_n their_o use_n be_v manifold_a but_o principal_o in_o 3._o thing_n 1._o in_o distinguish_v the_o equinoctial_a and_o solstitial_a point_n 2._o in_o reckon_n aswell_o the_o quantity_n of_o the_o great_a declination_n of_o the_o ☉_o by_o the_o ark_n intercept_v between_o the_o equator_fw-la and_o the_o ecliptic_a as_o the_o space_n comprehend_v between_o the_o pole_n of_o the_o world_n and_o the_o pole_n of_o the_o ecliptic_a which_o be_v always_o equal_a unto_o the_o ark_n of_o the_o great_a declination_n 3._o for_o better_a understanding_n of_o the_o ascension_n and_o descension_n of_o the_o sign_n of_o the_o meridian_n chap._n 22._o the_o ☉_o carry_v about_o by_o the_o first_o motion_n when_o it_o be_v at_o the_o high_a design_v a_o point_n of_o a_o circle_n who_o definition_n variety_n and_o office_n we_o be_v to_o consider_v the_o definition_n take_v hold_n both_o of_o the_o name_n thereof_o and_o of_o the_o matter_n itself_o it_o be_v call_v the_o circle_n meridian_n meridional_a and_o merinoctiall_a the_o circle_n of_o the_o midday_n and_o midnight_n either_o because_o it_o divide_v both_o the_o day_n and_o the_o night_n into_o 2._o equal_a part_n the_o one_o ascend_v the_o other_o descend_v or_o else_o because_o so_o often_o as_o the_o ☉_o according_a to_o the_o first_o motion_n be_v under_o the_o meridian_n it_o be_v then_o either_o midday_n or_o else_o midnight_n the_o matter_n itself_o be_v that_o according_a whereto_o it_o be_v define_v to_o be_v one_o of_o the_o great_a circle_n draw_v through_o the_o pole_n of_o the_o world_n and_o the_o vertical_a point_n of_o any_o place_n give_v and_o stand_v still_o when_o the_o sphere_n be_v move_v the_o variety_n of_o the_o meridian_n by_o reason_n of_o the_o round_a figure_n of_o the_o earth_n be_v either_o none_o at_o all_o or_o manifold_a it_o be_v none_o at_o all_o either_o in_o regard_n of_o reason_n or_o of_o sense_n it_o be_v
situation_n between_o the_o mean_n and_o extreme_n do_v as_o the_o former_a differ_v from_o the_o rest_n 1._o in_o the_o double_a passage_n of_o the_o ☉_o over_o their_o head_n but_o not_o in_o the_o head_n of_o ♈_o &_o ♎_o 2._o in_o their_o four_o shadow_n and_o solstice_n although_o not_o happen_v at_o the_o same_o time_n as_o in_o former_a situation_n those_o that_o have_v their_o situation_n in_o the_o extreme_n of_o the_o burn_a zone_n do_v differ_v from_o the_o other_o 1._o in_o that_o the_o sun_n come_v but_o once_o unto_o their_o zenith_n 2._o in_o the_o length_n of_o their_o great_a day_n which_o be_v 3._o ho._n ½_n those_o place_n that_o be_v situate_v within_o the_o temperate_a zone_n be_v either_o in_o the_o extreme_n or_o in_o the_o mean_a the_o extreme_a space_n be_v those_o that_o be_v under_o either_o the_o trop_fw-fr of_o ♋_o whereof_o we_o speak_v before_o or_o the_o arctic_a circle_n those_o that_o be_v under_o the_o arctic_a circle_n do_v differ_v from_o other_o 1._o in_o that_o they_o have_v the_o zodiac_n coincident_a with_o their_o horizon_n and_o the_o pole_n thereof_o with_o their_o zenith_n 2._o in_o that_o the_o sign_n do_v arise_v unto_o they_o either_o most_o swiftlye_o or_o most_o flowelye_o 3._o in_o the_o length_n of_o one_o day_n consist_v of_o 24_o hour_n those_o that_o be_v situate_v within_o the_o mean_a space_n of_o the_o temperate_a zone_n do_v differ_v from_o other_o 1._o in_o their_o vertical_a point_n which_o the_o sun_n never_o come_v unto_o 2._o in_o their_o shadow_n which_o be_v only_o 3._o those_o place_n that_o be_v situate_v within_o the_o freeze_a zone_n be_v either_o in_o the_o mean_a space_n or_o in_o the_o extreme_n those_o that_o be_v within_o the_o mean_a space_n of_o the_o freeze_a zone_n do_v differ_v from_o other_o 1._o in_o the_o interfection_n of_o the_o zodiac_n and_o the_o horizon_n in_o equidistant_a point_n 2._o in_o that_o some_o portion_n of_o the_o zodiac_n be_v always_o either_o above_o the_o horizon_n or_o under_o the_o same_o those_o that_o be_v within_o the_o extreme_n of_o the_o freeze_a zone_n be_v either_o under_o the_o arctic_a circle_n whereof_o we_o speak_v a_o little_a before_o or_o under_o the_o pole_n those_o that_o be_v under_o the_o pole_n do_v differ_v from_o other_o 1._o in_o their_o horizon_n which_o be_v all_o one_o with_o the_o equinoctial_a 2._o in_o their_o day_n which_o be_v half_a a_o year_n by_o reason_n that_o the_o one_o moiety_n of_o the_o zodiac_n do_v always_o appear_v above_o the_o horizon_n of_o the_o diversity_n of_o the_o name_n of_o the_o inhabitant_n chap._n 40._o the_o inhabitant_n of_o the_o earth_n compare_v one_o with_o another_o have_v diverse_a appellation_n by_o reason_n aswell_o of_o the_o shadow_n of_o the_o ☉_o as_o of_o the_o horizon_n or_o parallel_n and_o meridians_fw-la the_o shadow_n cast_v by_o the_o ☉_o upon_o the_o earth_n at_o noon_n be_v either_o infinite_a or_o none_o at_o all_o or_o else_o they_o be_v finite_a the_o shadow_n that_o be_v infinite_a or_o equidistant_a unto_o the_o beam_n be_v cast_v in_o the_o freeze_a zone_n who_o inhabitant_n be_v call_v periseti_n that_o be_v shadow_v round_o about_o because_o their_o shadow_n do_v go_v in_o compass_n round_o about_o they_o those_o that_o have_v no_o shadow_n at_o noon_n tide_n be_v in_o the_o burn_a zone_n who_o inhabitant_n be_v name_v either_o aseu_n because_o when_o the_o ☉_o be_v in_o their_o zenith_n they_o have_v no_o shadow_n at_o all_o or_o else_o amphiscii_n have_v 2_o shadow_n the_o one_o septentrional_a when_o the_o sun_n go_v from_o they_o towards_o the_o south_n the_o other_o meridional_a when_o he_o pass_v from_o they_o towards_o the_o north._n those_o who_o shadow_n be_v finite_a be_v name_v heteroscii_n as_o have_v but_o one_o of_o those_o shadow_n either_o septentrional_a as_o in_o the_o septentrional_a temperate_a zone_n or_o else_o meridional_a as_o in_o the_o meridional_a temperate_a zone_n whereof_o lucan_n make_v mention_v as_o concern_v the_o inhabitant_n of_o the_o world_n who_o comparison_n one_o with_o another_o stand_v upon_o the_o horizon_n or_o the_o parallel_n and_o meridian_n we_o have_v 5._o thing_n to_o consider_v 1._o some_o of_o they_o have_v the_o same_o sensible_a horizon_n who_o albertus_n call_v simul_fw-la habitantes_fw-la dwell_v together_o 2._o some_o of_o they_o do_v dwell_v under_o the_o opposite_a point_n of_o the_o same_o parallel_n and_o be_v call_v proprelie_o by_o the_o greek_n pertoeci_n as_o if_o you_o will_v say_v dweller_n about_o of_o the_o latin_n transuersi_fw-la dweller_n on_o the_o other_o side_n 3._o some_o of_o they_o dwell_v under_o the_o same_o parallel_n but_o not_o in_o the_o opposite_a point_n have_v a_o diverse_a longitude_n who_o albertus_n call_v circular_a dweller_n 4._o some_o of_o they_o dwell_v under_o the_o point_n of_o the_o same_o semimeridian_n equidistant_a from_o the_o equator_fw-la have_v a_o contrary_a latitude_n and_o be_v call_v antoeci_n or_o antomi_n also_o oblique_a inhabitant_n 5._o some_o of_o they_o do_v inhabit_v a_o equal_a or_o also_o the_o same_o parallel_n but_o under_o the_o point_n of_o the_o meridian_n diametrallie_o opposite_a and_o be_v call_v antipode_n antichthones_n and_o opposite_a the_o distinction_n of_o the_o surface_n of_o the_o earth_n according_a to_o the_o length_n of_o the_o date_n chap._n 41._o for_o the_o more_o exact_a knowledge_n of_o the_o long_a day_n in_o every_o place_n of_o the_o world_n sensible_o change_v themselves_o the_o astronomer_n have_v devise_v the_o distinction_n of_o parallel_n and_o of_o climate_n the_o parallel_n offer_v unto_o our_o consideration_n their_o definition_n and_o their_o supputation_n they_o be_v define_v to_o be_v circle_n distinguish_v the_o climate_n and_o distant_a one_o from_o another_o at_o the_o most_o but_o quarter_n of_o hour_n their_o supputation_n be_v diverse_a deliver_v by_o 3._o sort_n of_o geographer_n 1._o by_o the_o common_a geographer_n which_o do_v distinguishe_v the_o space_n of_o the_o earth_n from_o 12._o gr_n 45._o mi._n unto_o 50._o gr_n 30._o mi._n into_o 15._o parallel_n attribute_v unto_o each_o one_o of_o a_o hour_n 2._o by_o the_o mariner_n who_o in_o like_a manner_n do_v recon_fw-mi 14._o parallel_n distinguish_v by_o quarter_n of_o hour_n from_o the_o equator_fw-la unto_o 45._o gr_n but_o then_o they_o proceed_v by_o half_a hour_n unto_o the_o 19_o parallel_n and_o then_o by_o add_v on_o whole_a hour_n they_o come_v unto_o the_o 21._o prrallele_n 3._o by_o the_o more_o subtle_a geographer_n who_o make_v 48._o several_a parallel_n from_o the_o equator_fw-la towards_o the_o pole_n of_o the_o world_n unto_o the_o 66._o gr_n 30._o there_n of_o elevation_n and_o from_o thence_o augment_v they_o by_o day_n they_o add_v 20._o more_o the_o climate_n be_v to_o be_v consider_v in_o their_o definition_n in_o their_o division_n in_o their_o number_n and_o in_o their_o magnitude_n the_o definition_n be_v thus_o a_o climate_n be_v a_o space_n of_o the_o earth_n include_v within_o 3._o parallel_n contain_v the_o difference_n of_o ½_n a_o hour_n their_o division_n be_v either_o general_a or_o particular_a their_o general_a division_n it_o that_o in_o regard_n whereof_o some_o of_o they_o be_v call_v northern_a climate_n and_o some_o southern_a the_o northern_a climate_n have_v their_o proper_a name_n derive_v from_o the_o place_n through_o the_o which_o they_o do_v pass_v the_o southern_a climate_n be_v those_o that_o be_v name_v by_o the_o contrary_n their_o particular_a division_n be_v that_o in_o regard_n whereof_o every_o one_o of_o they_o be_v divide_v into_o 3._o parallel_n the_o first_o the_o middlemost_a and_o the_o last_o parallel_n their_o number_n be_v know_v through_o the_o supputation_n of_o the_o parallel_n their_o magnitude_n be_v inequal_a aswell_o in_o respect_n of_o their_o longitude_n as_o of_o their_o latitude_n their_o longitude_n towards_o the_o equator_fw-la be_v great_a by_o reason_n of_o the_o great_a compass_n of_o circle_n and_o toward_o the_o pole_n it_o be_v less_o by_o reason_n of_o their_o less_o compass_n their_o latitude_n be_v inequal_a in_o respect_n of_o the_o space_n of_o degree_n that_o half_o a_o hour_n do_v contain_v and_o it_o be_v great_a about_o the_o equator_fw-la by_o reason_n of_o the_o almost_o equal_a compass_n of_o the_o degree_n and_o less_o about_o the_o pole_n by_o mean_n of_o the_o narrow_a inclination_n of_o the_o roundness_n of_o the_o earth_n of_o the_o light_n and_o of_o the_o shadow_n and_o their_o difference_n chap._n 42._o forasmuch_o as_o there_o have_v be_v often_o mention_v make_v of_o the_o shadow_n it_o shall_v not_o be_v amiss_o if_o we_o set_v before_o your_o eye_n the_o methodical_a description_n thereof_o and_o see_v that_o contraty_n be_v by_o their_o contrary_n make_v more_o manifest_a we_o will_v declare_v the_o nature_n of_o the_o light_n and_o
of_o the_o shadow_n the_o nature_n of_o the_o light_n be_v show_v by_o the_o definition_n the_o division_n and_o the_o cause_n thereof_o it_o be_v define_v to_o be_v the_o image_n or_o the_o beam_n of_o the_o bright_a light_n it_o be_v divide_v either_o into_o the_o first_o and_o principal_a or_o the_o secondary_a and_o reflexed_a light_n the_o first_o and_o principal_n be_v that_o which_o proceed_v direct_o from_o the_o light_a body_n and_o be_v either_o perpendiculare_a or_o oblique_a the_o perpendiculare_a light_n be_v that_o by_o the_o fall_n whereof_o right_a angle_n be_v make_v the_o oblique_a light_n be_v that_o which_o fall_v not_o at_o right_a angle_n the_o secondary_a or_o reflexed_a light_n be_v that_o which_o from_o one_o side_n spread_v itself_o on_o all_o part_n without_o any_o fall_n of_o the_o beam_n the_o cause_n of_o the_o light_n be_v either_o the_o elemental_a bright_a light_n whereof_o here_o we_o teach_v nothing_o oâ—_n the_o celestial_a the_o celestial_a bright_a light_n be_v that_o which_o either_o cause_v the_o shadow_n as_o that_o of_o the_o ☉_o of_o the_o ☽_o of_o ♀_o or_o else_o which_o have_v no_o power_n to_o make_v any_o shadow_n as_o the_o light_n of_o the_o of_o the_o other_o star_n the_o nature_n of_o the_o shadow_n be_v declare_v by_o the_o definition_n and_o by_o the_o division_n thereof_o it_o be_v define_v to_o be_v a_o light_n diminish_v or_o a_o certain_a form_n of_o a_o dark_a body_n always_o contrary_a to_o the_o body_n cast_v the_o light_n the_o division_n thereof_o be_v two_o fold_n the_o one_o draw_v from_o the_o coast_n of_o the_o world_n the_o other_o from_o the_o position_n of_o the_o dark_a body_n the_o shadow_n take_v the_o appellation_n from_o the_o coast_n of_o the_o world_n be_v of_o 2._o sort_n the_o one_o be_v extend_v towards_o some_o coast_n and_o it_o be_v either_o oriental_a or_o occidental_a or_o meridional_a or_o septentrional_a the_o other_o be_v perpendiculare_a or_o a_o right_a shadow_n by_o a_o perpendiculare_a which_o be_v not_o extend_v as_o it_o be_v unto_o those_o that_o have_v the_o ☉_o in_o their_o zenith_n the_o division_n derive_v from_o the_o position_n of_o the_o dark_a body_n be_v that_o in_o respect_n whereof_o one_o shadow_n be_v call_v right_a or_o extend_v another_o reverse_a the_o right_a shadow_n be_v that_o which_o be_v cause_v by_o the_o dark_a body_n perpendicularelie_o erect_v upon_o the_o terrestrial_a plane_n the_o reverse_a shadow_n be_v that_o which_o be_v cause_v by_o the_o dark_a body_n that_o be_v parallel_n unto_o the_o horizon_n of_o the_o eclipse_n in_o general_n chap._n 43._o of_o all_o the_o apparence_n of_o the_o heaven_n the_o eclipse_n be_v the_o principal_a and_o therefore_o we_o will_v declare_v the_o general_a reason_n of_o the_o same_o by_o the_o definition_n and_o by_o the_o term_n thereof_o the_o definition_n be_v either_o barelye_o and_o planelye_a propound_v or_o else_o it_o be_v more_o large_o express_v the_o plane_n definition_n thereof_o be_v that_o whereby_o it_o be_v define_v to_o be_v the_o take_v away_o or_o the_o hinder_v of_o the_o bright_a light_n so_o that_o it_o can_v come_v unto_o the_o eye_n the_o large_a expression_n thereof_o be_v thus_o unto_o every_o eclipse_n there_o belong_v 3._o thing_n a_o bright_a heavenly_a light_n our_o sight_n and_o a_o shadowy_a or_o dark_a body_n the_o bright_a heavenly_a light_n be_v form_v by_o the_o creator_n for_o the_o expelling_a of_o shadow_n and_o it_o be_v twofolde_v a_o great_a and_o a_o less_o the_o great_a be_v that_o of_o the_o ☉_o shine_v of_o itself_o the_o less_o be_v that_o of_o the_o ☽_o cast_v about_o as_o out_o of_o a_o look_a glass_n her_o light_n borrow_v of_o the_o ☉_o our_o sight_n be_v diverse_a according_a to_o the_o diverse_a position_n thereof_o upon_o the_o round_a compass_n of_o the_o earth_n the_o shadowy_a or_o dark_a body_n be_v also_o twofold_a viz._n the_o body_n of_o the_o ☽_o the_o one_o moiety_n whereof_o the_o ☉_o enlighten_v not_o and_o the_o earth_n who_o shadow_n be_v always_o opposite_a unto_o the_o ☉_o the_o term_n of_o the_o eclipse_n which_o in_o this_o kind_n of_o doctrine_n the_o astronomer_n do_v use_v be_v in_o number_n three_o the_o first_o be_v the_o quantity_n of_o the_o body_n either_o of_o the_o ☉_o who_o visual_a diameter_n as_o a_o chord_n do_v subtende_v in_o the_o auge_n of_o his_o eccentricke_a 31._o mi._n and_o in_o the_o opposite_a thereof_o 31._o mi._n or_o else_o of_o the_o ☽_o who_o apparent_a diameter_n do_v in_o the_o auge_n of_o her_o eccentricke_a and_o epicycle_n subtende_v 29._o mi._n and_o in_o the_o opposite_a thereof_o 36._o mi._n the_o second_o be_v the_o quantity_n of_o the_o shadow_n which_o the_o motion_n of_o the_o ☉_o through_o either_o absis_fw-la do_v cause_n to_o vary_v aswell_o in_o regard_n of_o the_o longitude_n from_o the_o surface_n of_o the_o earth_n which_o for_o the_o most_o part_n contain_v 276._o semidiameter_n of_o the_o earth_n as_o also_o in_o respect_n of_o the_o latitude_n which_o also_o in_o the_o place_n of_o the_o overthwart_a cross_v of_o the_o ☽_o be_v diverse_a both_o in_o respect_n of_o the_o ☉_o be_v in_o either_o absis_fw-la and_o of_o the_o ☽_o which_o in_o her_o opposition_n be_v either_o in_o the_o auge_n of_o her_o epicycle_n and_o then_o it_o be_v 75._o mi._n or_o in_o the_o opposite_a thereof_o and_o then_o it_o contain_v 94._o mi._n the_o three_o be_v the_o quantity_n of_o the_o term_n eclipse_v either_o of_o the_o ☽_o which_o be_v 15._o part_n 12._o mi._n or_o of_o the_o ☉_o by_o reason_n of_o the_o parallux_n of_o the_o latitude_n of_o the_o ☽_o be_v either_o about_o the_o south_n and_o it_o be_v 11._o gr_n 22._o mi._n or_o about_o the_o north_n be_v 20._o gr_n 40._o mi._n the_o particular_a description_n of_o the_o eclipse_n chap._n 44._o the_o beam_n therefore_o both_o of_o the_o ☽_o and_z of_o the_o ☉_o may_v be_v hinder_v from_o shine_v upon_o the_o earth_n the_o beam_n of_o the_o ☽_o be_v borrow_a may_v be_v hinder_v by_o the_o come_n of_o the_o earth_n and_o the_o shadow_n thereof_o between_o the_o ☉_o and_z her_o and_o that_o make_v the_o eclipse_n of_o the_o ☽_o whereof_o we_o may_v consider_v the_o time_n wherein_o it_o happen_v &_o the_o continuance_n thereof_o the_o time_n of_o her_o eclipse_n be_v when_o she_o be_v at_o the_o full_a when_o the_o ☉_o be_v in_o opposition_n with_o the_o ☽_o drive_v the_o shadow_n either_o according_a to_o the_o longitude_n as_o everye_o month_n it_o come_v to_o pass_v or_o else_o according_a to_o the_o latitude_n which_o fall_v out_o when_o the_o ☽_o be_v either_o within_o or_o nigh_o unto_o the_o nodi_fw-la that_o be_v the_o head_n and_o tail_n of_o the_o dragon_n in_o the_o continuance_n it_o be_v to_o be_v consider_v that_o the_o stay_n of_o the_o ☽_o in_o her_o darken_n be_v either_o long_a or_o short_a the_o long_a stay_n be_v with_o her_o whole_a body_n when_o her_o opposition_n fall_v out_o precise_o in_o the_o nodi_fw-la the_o short_a stay_n be_v when_o she_o be_v distant_a from_o the_o nodi_fw-la and_o then_o her_o body_n be_v darken_v either_o all_o or_o half_a or_o less_o than_o the_o half_a she_o be_v darken_v whole_o when_o she_o have_v her_o latitude_n less_o than_o the_o semidiameter_n of_o the_o shadow_n by_o the_o quantity_n of_o her_o apparent_a semidiameter_n she_o be_v darken_v half_a when_o she_o have_v her_o latitude_n equal_a unto_o the_o semidiameter_n of_o the_o shadow_n she_o be_v darken_v less_o than_o the_o half_a when_o she_o have_v her_o latitude_n great_a than_o the_o semidiameter_n of_o the_o shadow_n the_o beam_n of_o the_o ☉_o be_v hinder_v by_o the_o interposition_n of_o ☽_o and_o that_o be_v call_v the_o eclipse_n of_o the_o ☉_o wherein_o we_o may_v have_v consideration_n of_o the_o time_n wherein_o it_o happen_v the_o diversity_n thereof_o and_o the_o difference_n thereof_o from_o the_o eclipse_n of_o the_o ☽_o the_o time_n wherein_o the_o ☉_o be_v eclipse_v be_v in_o the_o new_a ☽_o at_o which_o time_n she_o seem_v to_o have_v a_o diametrall_a conjunction_n with_o the_o ☉_o aswell_o in_o respect_n of_o longitude_n as_o of_o latitude_n the_o diversity_n thereof_o be_v in_o that_o it_o be_v eclipse_v either_o whole_o or_o less_o than_o all_o the_o ☉_o be_v whole_o eclipse_v when_o the_o ☽_o be_v in_o visible_a conjunction_n with_o the_o ☉_o be_v in_o the_o nodi_fw-la the_o ☉_o be_v eclipse_v less_o than_o whole_o when_o as_o the_o ☽_o being_n in_o visible_a conjunction_n with_o the_o ☉_o have_v latitude_n but_o yet_o less_o than_o 35._o mi._n or_o else_o when_o the_o semidiameter_n of_o the_o ☉_o and_o the_o ☽_o be_v join_v together_o the_o difference_n of_o the_o eclipse_n of_o the_o ☉_o from_o the_o eclipse_n of_o the_o
compass_n thereof_o do_v cover_v all_o thing_n like_o a_o thing_n without_o measure_n and_o end_n but_o the_o elemental_a part_n be_v cover_v within_o the_o compass_n of_o the_o heaven_n the_o diameter_n thereof_o contain_v the_o diameter_n of_o the_o earth_n 23._o time_n their_o distinction_n according_a to_o their_o motion_n be_v in_o that_o the_o celestial_a part_n have_v a_o circular_a and_o a_o spherical_a motion_n the_o elemental_a a_o right_a motion_n more_o imperfect_a than_o the_o circular_a final_o they_o be_v distinguish_v according_a to_o their_o office_n for_o of_o those_o thing_n that_o be_v engender_v in_o the_o elemental_a part_n the_o heaven_n work_v by_o a_o continual_a motion_n be_v as_o it_o be_v the_o formal_a and_o efficient_a cause_n from_o whence_o life_n be_v derive_v and_o the_o elemental_a part_n which_o be_v subject_a unto_o passion_n and_o alteration_n be_v as_o it_o be_v the_o material_a cause_n from_o whence_o nourishment_n do_v proceed_v the_o reason_n of_o the_o sublunare_n or_o elemental_a region_n chap._n 9_o the_o elemental_a region_n which_o the_o heaven_n encompass_v comprehend_v within_o it_o the_o element_n wherein_o we_o be_v to_o consider_v the_o definition_n the_o number_n and_o the_o situation_n or_o order_n the_o element_n be_v simple_a body_n aswell_o in_o respect_n of_o the_o mix_a body_n which_o be_v understand_v to_o be_v compound_v of_o they_o as_o of_o the_o simple_a and_o least_o part_n as_o also_o in_o respect_n of_o the_o division_n for_o that_o they_o can_v be_v divide_v into_o body_n of_o diverse_a kind_n if_o they_o be_v give_v pure_a and_o without_o mixture_n for_o the_o use_n of_o live_a creature_n and_o thing_n grow_v do_v make_v they_o impure_a the_o element_n be_v 4._o in_o number_n find_v so_o to_o be_v by_o sense_n and_o by_o reason_n the_o element_n be_v find_v to_o be_v sour_a by_o sense_n which_o the_o physician_n do_v sollow_v first_o for_o that_o more_o simple_a body_n can_v be_v show_v 2_o nature_n have_v allot_v unto_o they_o certain_a place_n to_o the_o end_n that_o other_o thing_n may_v by_o they_o be_v breed_v and_o nourish_v 3_o nothing_o else_o can_v evident_o be_v show_v whereof_o other_o thing_n may_v be_v make_v 4_o in_o live_a creture_n there_o be_v certain_a part_n agreeable_a unto_o the_o nature_n of_o the_o several_a element_n the_o element_n be_v find_v to_o be_v four_o by_o two_o reason_n the_o former_a whereof_o be_v draw_v from_o the_o number_n of_o the_o four_o prime_a quality_n and_o the_o four_o fold_n possible_a knit_n together_o of_o they_o for_o heat_n may_v be_v join_v either_o with_o dryness_n which_o two_o make_v fire_n or_o else_o with_o moisture_n which_o two_o do_v make_v up_o aer_fw-la and_o cold_a may_v be_v join_v with_o moisture_n as_o it_o come_v to_o pass_v in_o the_o water_n or_o with_o dryness_n as_o in_o earth_n the_o late_a reason_n be_v take_v from_o the_o four_o fold_v difference_n of_o the_o right_a motion_n for_o the_o element_n be_v direct_o move_v either_o upwarde_a or_o downward_o such_o thing_n as_o move_v upward_o as_o light_v thing_n do_v be_v say_v so_o to_o do_v either_o simple_o as_o the_o fire_n which_o be_v the_o light_a of_o the_o rest_n or_o respectivelie_o as_o the_o aer_fw-la which_o be_v light_a than_o the_o water_n or_o the_o earth_n such_o thing_n as_o move_v downward_o as_o heanye_a thing_n do_v be_v say_v so_o to_o do_v either_o respectivelie_a as_o the_o water_n compare_v unto_o the_o fire_n and_o aer_fw-la or_o simple_o as_o the_o earth_n which_o be_v the_o heavy_a of_o all_o the_o rest_n the_o situation_n and_o order_n of_o the_o element_n be_v find_v either_o by_o their_o motion_n or_o else_o by_o the_o communication_n of_o their_o quality_n and_o first_o by_o the_o motion_n for_o inasmuch_o as_o the_o fire_n and_o the_o aer_fw-la do_v natural_o move_v upward_o the_o fire_n shall_v occupy_v the_o high_a place_n the_o aer_fw-la a_o upper_a place_n and_o for_o that_o the_o water_n and_o the_o earth_n do_v natural_o move_v downward_o the_o water_n shall_v possess_v a_o low_a place_n and_o the_o earth_n the_o low_a again_o the_o order_n of_o the_o element_n be_v find_v out_o by_o the_o communication_n of_o their_o quality_n for_o it_o be_v unfit_a that_o such_o thing_n as_o be_v mere_o contrary_a but_o such_o as_o in_o some_o sort_n can_v agree_v together_o shall_v be_v nigh_o one_o another_o the_o fire_n therefore_o shall_v be_v join_v unto_o the_o aer_fw-la by_o reason_n of_o the_o heat_n common_a unto_o they_o both_o the_o aer_fw-la unto_o the_o water_n by_o reason_n of_o the_o common_a moisture_n and_o the_o earth_n unto_o the_o water_n by_o reason_n of_o coldness_n common_a to_o they_o both_o the_o two_o fold_n difference_n of_o the_o celestial_a motion_n chap._n 10._o the_o whole_a frame_n of_o the_o world_n be_v carry_v round_o about_o with_o 2._o motion_n each_o of_o they_o be_v distinguish_v from_o the_o other_o in_o name_n and_o in_o reason_n the_o one_o of_o they_o be_v call_v the_o first_o and_o universal_a motion_n likewise_o the_o diurnal_a or_o worldly_a motion_n because_o it_o bring_v the_o day_n unto_o the_o world_n for_o in_o this_o motion_n the_o ☉_o and_z all_z the_o celestial_a body_n do_v every_o day_n arise_v and_o set_v they_o call_v it_o also_o the_o violent_a and_o rapt_a motion_n because_o by_o the_o violent_a swiftness_n thereof_o it_o carry_v with_o it_o the_o rest_n of_o the_o sphere_n the_o other_o be_v call_v the_o second_o and_o particular_a motion_n altogether_o contrary_a unto_o the_o former_a as_o by_o which_o all_o the_o particular_a orb_n do_v resist_v the_o universal_a motion_n they_o call_v it_o also_o sinister_a motus_fw-la the_o motion_n to_o the_o left_a hand_n as_o the_o former_a be_v in_o like_a sort_n call_v dexter_a that_o be_v the_o motion_n to_o the_o right_a hand_n the_o 2._o motion_n be_v also_o distinguish_v according_a to_o the_o reason_n or_o the_o substance_n in_o the_o which_o they_o be_v inherent_a for_o they_o differ_v the_o one_o from_o the_o other_o three_o way_n the_o first_o difference_n be_v in_o respect_n either_o of_o the_o whole_a for_o the_o diurnal_a motion_n be_v common_a unto_o all_o the_o celestial_a body_n or_o else_o of_o the_o part_n or_o star_n either_o fix_v or_o wander_a which_o have_v a_o motion_n peculiar_a and_o proper_a unto_o themselves_o the_o second_o difference_n be_v either_o in_o regard_n of_o the_o situation_n of_o the_o axe_n for_o the_o diurnal_a motion_n be_v make_v upon_o the_o axe_n and_o pole_n of_o the_o world_n and_o therefore_o the_o equator_fw-la divide_v it_o in_o the_o middle_n but_o the_o proper_a motion_n be_v make_v upon_o the_o axe_n and_o pole_n of_o the_o zodiac_n and_o therefore_o the_o zodiac_n do_v cut_v it_o in_o the_o middle_n or_o else_o it_o be_v in_o regard_n of_o the_o position_n of_o the_o term_n inasmuch_o as_o the_o diurnal_a revolution_n be_v make_v from_o the_o east_n unto_o the_o west_n or_o as_o plinte_n term_v it_o from_o the_o right_n toward_o the_o left_a hand_n but_o the_o proper_a revolution_n be_v from_o the_o west_n unto_o the_o east_n or_o from_o the_o left_a towards_o the_o right_a hand_n the_o three_o difference_n be_v in_o consideration_n of_o the_o swiftness_n for_o the_o diurnal_a motion_n fulfil_v his_o course_n within_o the_o space_n of_o 24._o common_a hour_n but_o the_o proper_a motion_n in_o diverse_a distance_n of_o time_n according_a to_o the_o largeness_n of_o the_o orb_n namely_o the_o orb_n of_o the_o fix_a star_n perform_v his_o circle_n in_o 36000._o year_n of_o ♄_o in_o 30_o of_o ♃_o in_o 12_o of_o ♂_o in_o 2._o year_n of_o the_o ☉_o in_o 365._o day_n and_o about_o 6._o hour_n of_o ♀_o in_o 384._o day_n after_o pliny_n the_o orb_n of_o ☿_o in_o as_o many_o day_n as_o the_o ☉_o and_o the_o orb_n of_o the_o ☽_o in_o 27._o day_n &_o 8._o hour_n the_o circular_a form_n and_o circular_a motion_n of_o the_o heaven_n chap._n 11._o the_o heaven_n be_v circular_a in_o motion_n and_o in_o figure_n the_o circular_a motion_n of_o the_o heaven_n be_v prove_v as_o well_o by_o 2._o experiment_n as_o by_o 2._o argument_n the_o one_o experiment_n be_v take_v from_o the_o star_n of_o the_o 8._o orb_n which_o both_o in_o their_o rise_n &_o set_v do_v always_o keep_v one_o &_o the_o same_o habitude_n both_o in_o regard_n of_o the_o earth_n and_o one_o to_o another_o which_o thing_n can_v agree_v with_o none_o other_o than_o a_o circular_a motion_n about_o the_o centre_n the_o other_o experiment_n be_v also_o take_v from_o the_o star_n of_o the_o 8._o orb_n always_o appear_v and_o retain_v in_o diverse_a place_n the_o same_o distance_n from_o the_o pole_n and_o onestom_n another_o which_o also_o agree_v with_o the_o circular_a motion_n only_o the_o first_o