Linguistic DNA - Concept Modelling Demonstrator

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
day_n	east_n	hour_n	minute_n	4,917	5	12.2222	5	false

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

part_n or_o degree_n of_o the_o equatour_n in_o his_o motion_n and_o rise_n above_o the_o horizont_n do_v make_v a_o hour_n and_o every_o degree_n four_o minute_n of_o a_o equal_a hour_n so_o that_o the_o quarter_n or_o fifteen_o minute_n of_o each_o degree_n do_v produce_v and_o cause_v one_o minute_n of_o a_o hour_n also_o they_o observe_v the_o ascension_n and_o descension_n of_o the_o sign_n in_o this_o circle_n for_o that_o in_o any_o region_n or_o country_n a_o man_n may_v know_v the_o length_n of_o the_o artificial_a day_n and_o night_n by_o have_v a_o spherical_a instrument_n and_o the_o sun_n place_v in_o the_o east_n horizont_fw-fr let_v the_o note_n of_o the_o equinoctial_a be_v move_v and_o after_o the_o sun_n be_v turn_v into_o the_o west_n horizont_fw-fr let_v the_o note_n again_o of_o the_o equinoctial_a be_v move_v into_o the_o east_n horizont_fw-fr so_o that_o the_o degree_n of_o the_o equinoctial_a number_v mark_v with_o these_o note_n do_v cause_n a_o artificial_a day_n count_v always_o fifteen_o degree_n of_o the_o equinoctial_a for_o a_o equal_a hour_n to_o conclude_v the_o length_n of_o the_o artificial_a day_n know_v by_o subtract_v the_o same_o from_o 24._o hour_n the_o quantity_n of_o the_o night_n remain_v shall_v appear_v how_o much_o it_o be_v last_o the_o sun_n be_v enter_v into_o this_o circle_n do_v rise_v in_o the_o just_a east_n point_n and_o set_v full_a west_n but_o in_o the_o high_a of_o summer_n be_v come_v to_o cancer_n he_o rise_v north-east_n and_o set_v northwest_o at_o what_o time_n the_o noontide_n be_v high_a but_o in_o the_o short_a time_n of_o winter_n when_o the_o sun_n be_v come_v to_o capricorn_n he_o contrariwise_o rise_v southeast_n and_o be_v in_o the_o noonetide_v low_a 4_o it_o distinguish_v the_o equinoctial_o and_o cross_v the_o zodiac_n thwart_o wreathe_a and_o bend_a to_o it_o in_o two_o opposite_a point_n which_o when_o the_o sun_n come_v and_o be_v in_o it_o he_o cause_v like_o space_n of_o the_o day_n and_o night_n and_o of_o the_o same_o those_o entraunce_n of_o the_o sun_n be_v name_v the_o equinoctial_a point_n and_o there_o be_v two_o equinoctial_o cause_v in_o every_o year_n as_o the_o one_o the_o sun_n enter_v the_o beginning_n of_o aries_n or_o the_o spring_n point_n of_o the_o cross_n of_o the_o zodiac_n and_o equinoctial_a in_o the_o begin_n of_o the_o spring_n which_o the_o latin_n name_n the_o equinoctial_a spring_n and_o the_o greek_n isemerian_n earinÃ©n_n and_o the_o celestial_a point_n of_o the_o same_o equinoctial_a the_o greek_n name_v the_o point_n of_o our_o equinoctial_a spring_n the_o other_o equinoctial_a be_v cause_v when_o the_o sun_n have_v his_o beginning_n of_o libra_n in_o the_o entrance_n of_o harvest_n call_v the_o equinoctial_a harvest_n and_o the_o celestial_a point_n in_o which_o the_o sun_n happen_v they_o name_v the_o point_n of_o our_o equinoctial_a harvest_n these_o point_n remain_v not_o fix_v in_o one_o place_n of_o heaven_n but_o in_o the_o go_n before_o do_v proceed_v or_o move_v forward_o under_o the_o eight_o orb_n and_o turn_v before_o the_o place_n of_o the_o fix_a star_n for_o the_o point_n of_o the_o equinoctial_a spring_n that_o in_o the_o first_o year_n of_o olimpias_n follow_v the_o first_o star_n of_o aries_n of_o the_o eight_o sphere_n 4._o degree_n and_o 52._o minute_n and_o in_o the_o year_n of_o the_o death_n of_o alexander_n one_o degree_n and_o 58._o minute_n the_o same_o after_o the_o begin_n of_o the_o year_n of_o julius_n cesar_n follow_v 4._o degree_n and_o 50_o minute_n and_o in_o the_o year_n of_o christ_n birth_n 5._o degree_n and_o 16._o minute_n in_o ptholomies_n time_n 6._o degree_n and_o 40._o minute_n it_o go_v before_o the_o same_o star_n and_o in_o these_o year_n it_o go_v before_o that_o star_n 27._o degree_n and_o 35._o minute_n so_o that_o the_o yearly_a time_n of_o the_o equinoctial_o be_v come_v back_o from_o the_o ancient_a time_n and_o move_v before_o the_o mark_v day_n by_o a_o long_a space_n for_o that_o the_o equinoctial_a spring_n which_o about_o the_o begin_n of_o the_o year_n of_o olimpias_n happen_v in_o the_o first_o or_o second_o of_o april_n in_o the_o begin_n of_o the_o year_n of_o cesar_n in_o the_o 25._o day_n of_o march._n in_o the_o time_n of_o christ_n our_o saviors_n birth_n in_o the_o 23._o or_o 24._o day_n of_o march._n in_o ptholomies_n time_n in_o the_o 22._o or_o 23._o day_n of_o march_n but_o in_o our_o time_n it_o happen_v in_o the_o 11._o or_o 12._o day_n of_o march_n and_o in_o this_o year_n 1570._o it_o happen_v in_o the_o 11._o day_n of_o march_n and_o in_o the_o 11._o hour_n before_o noon_n on_o saturday_n the_o autumnal_a or_o harvest_n equinoctial_a which_o happen_v in_o christ_n our_o saviour_n time_n in_o the_o 23._o or_o 24._o day_n of_o september_n be_v bring_v back_n and_o come_v in_o this_o our_o time_n unto_o the_o 13._o or_o 14._o day_n of_o september_n and_o in_o this_o year_n 1570._o shall_v happen_v in_o the_o 13._o day_n and_o in_o the_o 10._o hour_n and_o 21._o minute_n after_o noon_n on_o wednesday_n and_o through_o this_o variation_n of_o the_o fix_a star_n and_o equinoctial_o be_v cause_v that_o the_o late_a practitioner_n have_v find_v a_o other_o quantity_n of_o the_o year_n contrary_a to_o the_o ancient_n for_o hipparchus_n and_o ptolemy_n have_v establish_v in_o their_o time_n the_o quantity_n of_o the_o tropic_n year_n to_o be_v of_o 365._o day_n 5._o hour_n 55._o minute_n and_o 12._o second_n the_o alphonsine_n of_o 365._o day_n 5._o hour_n 55._o minute_n and_o 12._o second_n albategnius_n 365._o day_n 5._o hour_n 46._o minute_n and_o 56._o second_n cardanus_n of_o 365._o day_n 5._o hour_n 48._o minute_n 41._o second_n and_o 47._o three_o and_o thebitius_n have_v establish_v the_o starry_a year_n to_o be_v of_o 365._o day_n 6_o hour_n 9_o minute_n and_o 32._o second_n which_o be_v the_o space_n of_o time_n in_o which_o the_o sun_n return_v unto_o the_o same_o fix_a star_n but_o the_o tropic_n year_n be_v the_o sun_n return_n after_o his_o measure_n of_o the_o whole_a zodiac_n unto_o the_o equinoctial_a or_o soisticiall_a point_n so_o that_o by_o the_o say_a point_n change_v either_o in_o the_o increase_n or_o come_v soon_o as_o hitherto_o have_v be_v observe_v be_v the_o quantity_n of_o the_o year_n find_v to_o be_v in_o diverse_a and_o sundry_a wise_n of_o the_o practisioner_n by_o it_o also_o be_v learned_a and_o know_v which_o star_n and_o image_n celestial_a be_v towards_o the_o north_n or_o south_n from_o it_o and_o by_o it_o be_v the_o starrieskie_a divide_v into_o two_o equal_a half_n of_o which_o the_o one_o half_a be_v towards_o the_o north_n and_o the_o other_o toward_o the_o south_n so_o that_o the_o denomination_n so_o well_o of_o the_o planet_n as_o fix_v star_n be_v there_o by_o learned_a whether_o they_o be_v southerly_a or_o the_o northerly_a an_o other_o author_n write_v thus_o of_o it_o that_o it_o devide_v heaven_n into_o two_o part_n of_o which_o the_o one_o be_v name_v northerly_a of_o the_o seven_o star_n in_o the_o great_a bear_n the_o other_o southerly_a in_o that_o the_o sun_n about_o the_o south_n seem_v always_o to_o abide_v with_o we_o in_o that_o quarter_n and_o if_o the_o same_o may_v be_v know_v which_o star_n be_v name_v northerly_a and_o which_o southerly_a and_o when_o the_o planet_n be_v name_v northerly_a and_o when_o southerly_a so_o that_o by_o this_o reason_n all_o the_o star_n and_o image_n from_o it_o tend_v towards_o the_o north_n to_o be_v northerly_a and_o from_o it_o tend_v towards_o the_o south_n to_o be_v southerly_a the_o northerly_a image_n in_o respect_n of_o the_o equinoctial_a be_v these_o the_o bull_n name_v in_o latin_a taurus_n be_v adorn_v with_o 33._o star_n although_o a_o other_o writer_n mention_v but_o of_o 32._o of_o these_o 5._o be_v in_o the_o face_n and_o about_o the_o eye_n and_o in_o the_o place_n where_o the_o horn_n be_v describe_v to_o be_v be_v one_o star_n a_o piece_n which_o make_v seven_o in_o number_n name_v hyades_n in_o greek_a and_o succullae_n in_o latin_a in_o that_o they_o stand_v like_a to_o the_o letter_n y._n these_o in_o the_o 10._o 11._o and_o 12_o degree_n of_o taurus_n have_v their_o latitude_n southerly_a of_o which_o 4._o be_v of_o the_o three_o bigness_n and_o one_o bright_a than_o the_o rest_n in_o the_o southerly_a eye_n name_v proper_o aldebaran_n of_o the_o first_o bigness_n and_o of_o the_o nature_n of_o marse_fw-mi the_o seven_o star_n on_o the_o back_n of_o this_o sign_n name_v pleiades_n and_o in_o latin_a virgiliae_fw-la but_o in_o english_a the_o cluster_a star_n in_o that_o they_o stand_v so_o near_o together_o that_o they_o can_v scarce_o be_v number_v yet_o these_o more_o

the_o hollow_a upper_a face_n of_o the_o moon_n orb_n that_o reach_v unto_o the_o hollow_a upper_a face_n of_o the_o high_a heaven_n be_v most_o pure_a perfitte_a round_n continual_o carry_v about_o and_o bright_a appear_v this_o part_n of_o the_o world_n be_v the_o etherial_a region_n be_v name_v heaven_n which_o always_o draw_v about_o by_o a_o marvelous_a swiftness_n be_v divide_v into_o nine_o orb_n or_o sphere_n although_o sundry_a astronomer_n as_o alphonsus_n johannes_n de_fw-fr monte_fw-fr regio_fw-la purbachius_n and_o other_o have_v add_v a_o ten_o sphere_n through_o the_o three_o contrary_a motion_n find_v in_o the_o eight_o sphere_n name_v of_o thebit_n benchore_n the_o first_o inventor_n of_o the_o same_o motus_fw-la trepidationis_fw-la or_o the_o go_n and_o come_v of_o the_o eight_o sphere_n the_o first_o and_o uppermost_a orb_n be_v name_v the_o first_o mover_n the_o second_o be_v that_o which_o be_v name_v the_o nine_o sphere_n or_o crystalline_a heaven_n but_o of_o ptholomy_n name_v the_o firmament_n or_o orb_n of_o the_o fix_a star_n and_o the_o third_o be_v that_o which_o of_o they_o name_v the_o eight_o sphere_n only_o add_v through_o that_o motion_n of_o the_o tremble_a or_o as_o it_o be_v a_o move_a forth_o and_o return_v of_o that_o eight_o sphere_n which_o proper_o be_v cause_v in_o the_o two_o small_a circle_n about_o the_o head_n or_o beginning_n of_o aries_n and_o libra_n through_o which_o diverse_a motion_n of_o the_o eight_o sphere_n do_v the_o equinoctial_o and_o solstice_n come_v and_o begin_v soon_o by_o certain_a day_n and_o the_o sun_n great_a declination_n deminish_v and_o daily_o do_v to_o that_o in_o ptolemy_n and_o hipparcus_n time_n which_o then_o be_v 23._o degree_n and_o 52._o minute_n and_o 30._o second_n and_o for_o these_o have_v alphonsus_n and_o sundry_a other_o attribute_v diverse_a motion_n to_o the_o eight_o sphere_n add_v a_o nine_o and_o ten_o sphere_n to_o it_o that_o there_o be_v but_o eight_o celestial_a orb_n which_o may_v be_v see_v although_o ptholomy_n affirm_v that_o there_o be_v nine_o orb_n equal_o distant_a yet_o be_v there_o but_o eight_o which_o may_v perfect_o be_v see_v and_o decern_v with_o the_o eye_n both_o in_o the_o stand_n variety_n of_o motion_n and_o differ_v in_o the_o periode_n or_o course_n also_o they_o be_v in_o such_o order_n dispose_v that_o no_o orb_n hinder_v the_o motion_n of_o another_o near_a to_o it_o as_o the_o sphere_n of_o the_o fix_a star_n and_o the_o seven_o orb_n of_o the_o planet_n and_o most_o certain_a it_o be_v that_o some_o of_o the_o fix_a star_n be_v draw_v by_o a_o swift_a motion_n and_o other_o by_o a_o slow_a motion_n and_o that_o the_o apogea_n or_o ascension_n also_o of_o the_o planet_n be_v change_v after_o the_o order_n of_o the_o sign_n the_o orb_n of_o the_o planet_n thus_o contain_v and_o compass_v one_o a_o other_o as_o first_o the_o sphere_n of_o saturn_n be_v nigh_a the_o firmament_n of_o which_o be_v compass_v do_v like_o contain_v jupiters_n sphere_n and_o jupiters_n do_v in_o the_o same_o manner_n enclose_v mars_n sphere_n and_o marses_n in_o like_a order_n the_o sun_n sphere_n next_o the_o sun_n do_v contain_v venus_n sphere_n which_o like_o do_v compass_v mercury_n sphere_n and_o mercuries_n do_v contain_v the_o moon_n sphere_n be_v the_o low_a and_o small_a sphere_n and_o every_o of_o these_o sphere_n have_v a_o star_n a_o piece_n name_v eractical_a star_n or_o planet_n which_o star_n have_v every_o one_o their_o proper_a orb_n several_a his_o motion_n several_a and_o unlike_a in_o time_n one_o to_o another_o in_o that_o they_o appear_v one_o while_o never_o together_o and_o another_o while_o be_v see_v far_o distant_a asunder_o by_o which_o it_o agree_v that_o their_o equal_a motion_n to_o appear_v to_o we_o unequal_a either_o through_o the_o pole_n of_o the_o circle_n diverse_a from_o the_o pole_n of_o the_o world_n about_o which_o they_o be_v turn_v as_o be_v the_o pole_n of_o the_o zodiac_n under_o which_o the_o eratical_a star_n be_v continual_o draw_v and_o move_v rather_o for_o that_o the_o earth_n be_v not_o the_o centre_n of_o those_o orb_n by_o which_o the_o planet_n be_v carry_v and_o move_v about_o so_o that_o when_o we_o consider_v those_o move_n by_o the_o centre_n of_o the_o world_n then_o be_v cause_v that_o they_o seem_v to_o we_o as_o they_o be_v increase_v in_o a_o great_a bigness_n when_o as_o we_o behold_v and_o see_v they_o near_o hand_n and_o that_o lesser_a in_o bigness_n when_o we_o see_v they_o place_v far_o off_o even_o so_o in_o the_o equal_a circumference_n of_o the_o orb_n through_o the_o diverse_a distance_n of_o sight_n we_o like_v observe_v the_o unequal_a motion_n by_o the_o equal_a time_n yet_o indeed_o neither_o of_o these_o happen_v but_o that_o they_o be_v draw_v about_o by_o unchangeable_a space_n be_v a_o like_a distant_a and_o keep_v one_o manner_n of_o bigness_n for_o if_o this_o be_v than_o the_o sun_n or_o any_o other_o star_n be_v in_o the_o middle_n of_o heaven_n shall_v seem_v or_o appear_v big_a which_o it_o do_v not_o then_o be_v in_o the_o east_n or_o west_n part_n and_o the_o contrary_n we_o sundry_a time_n see_v when_o as_o the_o sun_n or_o any_o other_o star_n appear_v big_a in_o the_o quarter_n of_o the_o east_n and_o west_n which_o be_v not_o cause_v by_o reason_n of_o the_o short_a distance_n but_o for_o that_o his_o beam_n in_o the_o vapour_n which_o do_v thick_a ascend_v both_o in_o the_o winter_n time_n and_o in_o rainy_a weather_n that_o hang_v in_o the_o air_n between_o our_o sight_n and_o the_o body_n of_o the_o star_n be_v then_o break_v which_o break_v of_o they_o do_v cause_n the_o star_n to_o appear_v far_o big_a to_o the_o eye_n then_o in_o deed_n the_o same_o be_v and_o that_o a_o ready_a and_o easy_a knowledge_n may_v be_v have_v after_o the_o mind_n of_o ptolemy_n of_o the_o first_o mover_n and_o celestial_a orb_n with_o the_o number_n of_o the_o circle_n and_o element_n enclose_v within_o the_o first_o mover_n conceive_v this_o figure_n here_o follow_v most_o apt_o draw_v and_o set_v out_o for_o thy_o further_a instruction_n this_o figure_n declare_v the_o number_n disposition_n and_o order_n of_o the_o celestial_a sphere_n about_o the_o globe_n of_o the_o earth_n that_o there_o be_v two_o first_o motion_n of_o the_o celestial_a orbs._n although_o the_o celestial_a orb_n be_v several_o draw_v by_o proper_a and_o unlike_a motion_n yet_o be_v there_o two_o first_o motion_n that_o be_v manifest_a both_o by_o observation_n and_o judgement_n of_o the_o eye_n the_o one_o be_v of_o the_o first_o mover_n which_o ptholomy_n attribute_v to_o the_o nine_o sphere_n that_o be_v only_o draw_v about_o by_o a_o equal_a swiftness_n from_o the_o east_n into_o the_o west_n and_o from_o thence_o again_o into_o the_o east_n upon_o the_o pole_n of_o the_o world_n or_o equatour_n in_o the_o space_n of_o a_o natural_a day_n or_o 24._o hour_n and_o this_o first_o mover_n draw_v with_o it_o all_o the_o other_o orb_n much_o like_o a_o ship_n which_o be_v at_o full_a sail_n do_v draw_v and_o carry_v all_o her_o man_n &_o other_o live_a thing_n which_o be_v in_o the_o ship_n so_o that_o by_o this_o motion_n of_o the_o first_o mover_n the_o nether_a orb_n which_o the_o first_o mover_n compass_v be_v draw_v once_o every_o natural_a day_n or_o in_o the_o space_n of_o a_o day_n and_o night_n about_o the_o earth_n also_o this_o first_o mover_n do_v not_o only_o describe_v and_o measure_v a_o natural_a day_n but_o cause_v time_n and_o diversity_n of_o day_n and_o night_n with_o the_o proper_a motion_n of_o the_o sun_n and_o it_o daily_o bring_v up_o star_n to_o be_v see_v and_o carry_v up_o to_o the_o high_a and_o after_o hide_v they_o again_o under_o our_o horizont_n in_o the_o west_n beside_o it_o be_v the_o common_a measure_n of_o all_o the_o other_o motion_n the_o other_o motion_n be_v proper_a to_o the_o eight_o sphere_n and_o to_o the_o orb_n of_o the_o seven_o planet_n in_o the_o which_o they_o be_v contrary_o carry_v to_o the_o first_o mover_n as_o from_o the_o west_n into_o the_o east_n in_o move_v under_o the_o zodiac_n and_o about_o the_o pole_n of_o the_o same_o and_o not_o in_o parallel_n from_o the_o equatour_n equal_o separate_v but_o be_v draw_v much_o slow_a yea_o and_o unlike_a as_o by_o a_o like_a example_n when_o a_o ship_n by_o a_o most_o swift_a course_n be_v carry_v into_o the_o west_n yet_o may_v the_o mariner_n and_o other_o in_o the_o ship_n walk_v forward_o in_o the_o mean_a time_n into_o the_o east_n even_o so_o be_v this_o second_o motion_n of_o all_o the_o other_o sphere_n under_o the_o zodiac_n upon_o the_o pole_n of_o the_o ecliptic_a also_o by_o a_o swift_a motion_n

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two_o quarter_n the_o common_a ark_n be_v abate_v which_o be_v between_o the_o zenith_n and_o pole_n of_o the_o world_n and_o the_o rest_n of_o the_o equal_n remain_v as_o the_o ark_n which_o be_v from_o the_o equinoctial_a unto_o the_o zenith_n and_o call_v the_o latitude_n of_o the_o place_n and_o the_o ark_n which_o be_v from_o the_o pole_n of_o the_o world_n unto_o the_o horizont_a also_o call_v the_o elevation_n of_o the_o pole_n as_o may_v be_v understand_v of_o the_o former_a viteberge_n that_o be_v of_o 51._o degree_n and_o 50._o minute_n yet_o that_o you_o may_v easy_o find_v and_o know_v the_o elevation_n of_o the_o pole_n of_o your_o city_n or_o town_n you_o must_v first_o obtain_v and_o have_v the_o sun_n meridian_n altitude_n which_o workmanly_o may_v be_v have_v and_o observe_v by_o the_o shadow_n as_o when_o the_o sun_n altitude_n in_o the_o time_n of_o the_o equinoctial_a be_v precise_o of_o 45._o degree_n the_o shadow_n than_o be_v like_a to_o the_o gnomone_n which_o 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to_o we_o see_v no_o man_n as_o the_o learned_a report_n have_v attempt_v thither_o through_o extremity_n of_o cold_a their_o bear_a sway_n and_o for_o that_o exceed_a cold_n be_v a_o mortify_a quality_n therefore_o a_o man_n may_v conjecture_v that_o few_o live_a creature_n and_o beast_n can_v there_o live_v etc._n etc._n yet_o the_o part_n of_o the_o northerly_a ocean_n unto_o the_o easterly_a side_n be_v sufficient_o know_v to_o many_o traveller_n although_o the_o uttermost_a bound_n of_o the_o earth_n be_v not_o whole_o know_v yet_o the_o near_a aprroach_v to_o they_o shall_v here_o be_v apply_v as_o the_o longitude_n of_o the_o earth_n distant_a between_o peru_n the_o realm_n of_o america_n and_o cathaya_n to_o express_v 315._o degree_n or_o if_o any_o mind_n to_o account_v the_o longitude_n from_o the_o fortunate_a isle_n they_o may_v by_o a_o whole_a circle_n contain_v they_o even_o as_o the_o whole_a orb_n about_o in_o a_o manner_n do_v partly_o give_v place_n to_o the_o 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mile_n be_v wrought_v into_o part_n of_o the_o difference_n of_o longitude_n and_o any_o scruple_n after_o remain_v divide_v those_o by_o 4._o for_o by_o so_o many_o minute_n of_o a_o degree_n do_v a_o german_a mile_n answer_n that_o the_o distance_n shall_v make_v as_o ptolemy_n write_v of_o the_o place_n under_o the_o equatour_n the_o high_a land_n or_o mountain_n of_o the_o satyr_n in_o the_o country_n of_o syna_n who_o longitude_n be_v of_o 175_o degree_n and_o no_o minute_n nor_o have_v any_o latitude_n myrica_fw-la a_o isle_n of_o ethiope_n under_o egypt_n who_o longitude_n be_v of_o 85._o degree_n the_o angle_n of_o the_o difference_n of_o longitude_n between_o the_o meridians_fw-la of_o these_o place_n be_v straight_o or_o right_o and_o contain_v a_o whole_a quarter_n or_o 60._o degree_n the_o like_a be_v these_o place_n stand_v under_o the_o equatour_n colipolis_n a_o city_n of_o india_n beyond_o the_o river_n ganges_n which_o have_v the_o longitude_n 194._o degree_n and_o 20._o minute_n &_o essina_fw-la the_o great_a mart-towne_n of_o aethiope_n under_o egypt_n who_o longitude_n be_v of_o 70._o degree_n and_o 3._o minute_n the_o angle_n of_o the_o difference_n of_o longitude_n which_o the_o meridians_fw-la of_o these_o compass_n be_v blunt_a and_o contain_v 94._o degree_n and_o 17._o minute_n again_o the_o same_o or_o the_o like_o meridians_fw-la contain_v and_o make_v a_o sharp_a angle_n of_o 43_o degree_n as_o of_o the_o city_n nubarta_n of_o taprobane_n which_o at_o this_o day_n be_v sumatra_n and_o colipolis_n of_o ind_n beyond_o or_o above_o ganges_n for_o it_o be_v distant_a from_o the_o west_n 122._o degree_n and_o 20._o minute_n and_o this_o contain_v 164._o degree_n and_o 20._o minute_n if_o two_o place_n be_v give_v the_o one_o stand_v under_o the_o equatour_n and_o the_o other_o distant_a towards_o any_o other_o quarter_n from_o it_o the_o first_o that_o the_o angle_n of_o the_o difference_n of_o longitude_n be_v straight_o to_o these_o 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the_o day_n in_o the_o right_a sphere_n and_o of_o the_o unequalnesse_n in_o the_o thwart_a or_o bow_v sphere_n and_o where_o the_o day_n space_n be_v increase_v and_o lengthen_v there_o the_o night_n space_n be_v lessen_v and_o decrease_v and_o be_v otherwise_o they_o show_v the_o contrary_n in_o the_o second_o the_o parallel_n which_o the_o verticial_a point_n form_n when_o they_o express_v the_o bound_n of_o the_o latitude_n of_o place_n then_o be_v they_o stand_v under_o by_o which_o their_o longitude_n or_o distance_n from_o the_o west_n be_v account_v in_o the_o three_o the_o parallel_n which_o either_o the_o planet_n or_o the_o fix_a star_n describe_v refer_v unto_o the_o equatour_n do_v express_v the_o bound_n of_o their_o drawing_n or_o motion_n from_o the_o equatour_n the_o other_o or_o rest_n which_o apply_v unto_o the_o ecclipticke_a describe_v do_v show_v the_o bound_n of_o the_o latitude_n and_o that_o for_o how_o long_a time_n they_o tarry_v above_o the_o earth_n or_o 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and_o from_o the_o east_n unto_o the_o west_n if_o the_o earth_n be_v not_o as_o the_o centre_n of_o the_o world_n then_o of_o necessity_n shall_v these_o ensue_v that_o the_o earth_n shall_v approach_v either_o near_o to_o the_o east_n or_o west_n or_o south_n part_n and_o when_o any_o of_o the_o star_n aswell_o the_o fix_a as_o planet_n shall_v come_v unto_o that_o part_n they_o shall_v appear_v near_o to_o we_o then_o be_v in_o any_o other_o part_n of_o heaven_n and_o by_o that_o above_o say_v they_o shall_v also_o appear_v great_a which_o be_v altogether_o untrue_a and_o we_o also_o see_v the_o contrary_a in_o that_o as_o above_o write_v they_o always_o appear_v of_o one_o greatness_n either_o be_v in_o the_o east_n or_o in_o the_o west_n also_o one_o half_a of_o heaven_n be_v always_o above_o the_o earth_n and_o the_o other_o half_n under_o the_o earth_n and_o this_o be_v not_o only_o find_v and_o know_v in_o one_o quarter_n of_o the_o earth_n but_o the_o like_a in_o every_o place_n as_o the_o equinoctial_o do_v witness_n than_o which_o there_o can_v be_v no_o more_o evident_a trial_n a_o three_o reason_n may_v be_v allege_v if_o any_o imagine_v the_o earth_n upon_o the_o centre_n to_o be_v part_v into_o two_o equal_a half_n and_o that_o the_o eye_n be_v place_v in_o the_o centre_n then_o shall_v the_o eye_n see_v no_o more_o than_o the_o half_a of_o heaven_n by_o which_o appear_v that_o the_o swell_a of_o the_o earth_n from_o the_o centre_n unto_o his_o compass_n about_o in_o make_v a_o comparison_n unto_o heaven_n be_v as_o in_o a_o manner_n nothing_o and_o it_o be_v know_v to_o the_o learned_a in_o astronomy_n that_o any_o of_o the_o fix_a star_n be_v by_o many_o time_n great_a than_o the_o earth_n which_o if_o any_o behold_v they_o they_o appear_v as_o point_n in_o heaven_n now_o how_o much_o lesser_o will_v the_o earth_n appear_v if_o a_o man_n shall_v behold_v it_o from_o his_o place_n here_o learn_v by_o this_o demonstration_n follow_v that_o the_o earth_n stand_v without_o the_o centre_n in_o the_o point_n b._n be_v to_o the_o meridiane_a as_o be_v the_o point_n a._n near_a and_o when_o a_o star_n shall_v come_v unto_o that_o point_n then_o shall_v it_o be_v near_o to_o the_o earth_n and_o in_o the_o opposite_a point_n as_o be_v i._o shall_v be_v from_o the_o same_o much_o further_o than_o in_o any_o other_o place_n and_o shall_v even_o there_o lesser_o appear_v which_o by_o experience_n be_v quite_o contrary_a further_o grant_v that_o c._n d._n be_v the_o thwart_a horrizont_n yet_o the_o contrary_a for_o the_o second_o reason_n e._n b._n k._n be_v the_o equatour_n which_o from_o the_o say_v horrizont_n be_v divide_v into_o two_o unequal_a part_n and_o by_o this_o consequent_a also_o must_v the_o zodiac_n be_v divide_v into_o two_o unequal_a part_n from_o the_o say_v horrizont_n for_o that_o those_o two_o circle_n as_o hereafter_o shall_v be_v teach_v do_v cross_v one_o another_o into_o equal_a part_n therefore_o when_o the_o sun_n by_o his_o proper_a motion_n carry_v from_o the_o east_n into_o the_o west_n shall_v come_v unto_o the_o cross_n of_o the_o equatour_n and_o zodiac_n and_o that_o the_o great_a part_n of_o these_o circle_n shall_v be_v under_o the_o earth_n it_o can_v be_v that_o the_o equinoctium_n or_o a_o like_a day_n and_o night_n can_v be_v through_o out_o the_o earth_n no_o not_o under_o the_o right_a sphere_n much_o less_o can_v it_o be_v under_o the_o thwart_a sphere_n if_o this_o be_v unpossible_a it_o shall_v be_v also_o as_o unpossible_a that_o six_o sign_n may_v always_o be_v above_o the_o earth_n and_o the_o other_o six_o under_o the_o earth_n but_o rather_o that_o more_o of_o the_o sign_n shall_v be_v under_o the_o earth_n and_o more_o of_o they_o above_o even_o as_o the_o earth_n be_v imagine_v to_o be_v divide_v from_o the_o horrizont_n aforesaid_a into_o two_o equal_a part_n like_v as_o when_o it_o shall_v be_v in_o the_o centre_n of_o the_o whole_a and_o that_o from_o each_o centre_n of_o the_o great_a circle_n the_o earth_n be_v divide_v into_o two_o part_n as_o all_o these_o to_o any_o behold_v the_o material_a sphere_n be_v forthwith_o know_v at_o the_o first_o sight_n so_o by_o a_o three_o reason_n be_v to_o be_v note_v that_o when_o any_o imagine_v by_o the_o line_n e._n f._n that_o the_o earth_n in_o the_o point_n g._n stand_v as_o in_o the_o centre_n of_o the_o whole_a be_v divide_v by_o the_o middle_n as_o well_o be_v in_o g._n as_o h._n for_o the_o exceed_a distance_n from_o the_o cyrcumference_n be_v unpossible_a to_o see_v always_o the_o half_a heaven_n if_o the_o earth_n be_v not_o in_o the_o middle_n of_o the_o world_n then_o of_o necessity_n shall_v it_o possess_v some_o of_o these_o

stand_n first_o the_o earth_n be_v place_v without_o the_o be_v tree_n of_o the_o world_n yet_o in_o such_o sort_n that_o it_o be_v equal_o distant_a from_o either_o pole_n that_o be_v that_o the_o equinoctial_a may_v be_v in_o the_o plain_a upper_a face_n as_o in_o the_o letter_n d._n appear_v second_o that_o it_o be_v stand_v on_o the_o exetrÃ©e_n of_o the_o world_n yet_o without_o the_o plain_a upper_a face_n of_o the_o equinoctial_a that_o be_v that_o it_o be_v near_o to_o either_o of_o the_o pole_n as_o in_o the_o point_n b._n or_o g._n three_o that_o it_o be_v neither_o stand_v in_o the_o exetrÃ©e_n of_o the_o world_n nor_o in_o the_o plain_a of_o the_o equinoctial_a as_o in_o the_o point_n a._n c._n f._n e._n the_o first_o stand_v be_v grant_v these_o absurdity_n shall_v then_o ensue_v through_o the_o diverse_a place_n in_o diverse_a and_o sundry_a place_n of_o the_o plain_n equatoure_n 1_o in_o the_o right_a sphere_n shall_v never_o the_o equinoctium_n or_o a_o like_a day_n and_o night_n be_v cause_v in_o that_o the_o horrizont_n shall_v never_o cut_v or_o part_v the_o equinoctial_a into_o two_o equal_a half_n 2_o in_o the_o thwart_a sphere_n shall_v no_o equinoctial_a bee_n and_o somewhere_o again_o shall_v the_o equinoctial_a be_v but_o not_o in_o the_o middle_a parallel_n between_o the_o two_o tropicke_n that_o be_v it_o shall_v not_o happen_v the_o sun_n be_v in_o the_o equinoctial_a but_o in_o a_o other_o lesser_a parallel_n circle_n be_v near_a to_o either_o tropic_n point_n 3_o the_o time_n from_o the_o rise_n unto_o the_o noon_n tide_n shall_v not_o be_v equal_a to_o the_o time_n from_o the_o noon_n tie_v unto_o the_o set_n of_o the_o sun_n 4_o the_o magnitude_n and_o space_n between_o the_o fix_a star_n both_o in_o the_o east_n and_o west_n shall_v not_o be_v see_v equal_a or_o a_o like_a in_o the_o second_o stand_v if_o that_o the_o earth_n shall_v be_v place_v on_o the_o exetrÃ©e_n and_o not_o in_o the_o middle_a of_o the_o world_n then_o shall_v these_o absurdity_n ensue_v in_o every_o climate_n the_o plain_n of_o the_o horrizont_n shall_v cut_v heaven_n into_o two_o unequal_a half_n except_o those_o place_n have_v the_o right_a sphere_n yea_o and_o the_o zodiac_n shall_v be_v divide_v into_o two_o unequal_a ark_n so_o that_o there_o shall_v be_v somewhere_o more_o and_o somewhere_o less_o than_o six_o sign_n of_o the_o zodiac_n see_v above_o the_o horrizont_n which_o be_v contrary_a to_o all_o experience_n 2_o the_o equinoctial_a shadow_n both_o of_o the_o rise_n and_o set_v of_o the_o sun_n shall_v not_o agree_v in_o such_o sort_n that_o they_o may_v fall_v in_o right_a line_n neither_o the_o shadow_n of_o the_o rise_n of_o the_o sun_n in_o the_o solstitial_a or_o long_a day_n shall_v make_v or_o stretch_v in_o right_a line_n with_o the_o shadow_n of_o the_o sun_n set_v in_o the_o brumal_a or_o short_a day_n et_fw-la econuerso_fw-la in_o the_o three_o stand_v if_o neither_o it_o shall_v be_v on_o the_o exetrÃ©e_n of_o the_o world_n stand_v nor_o in_o the_o plain_a of_o the_o equatour_n then_o shall_v the_o same_o absurdity_n ensue_v which_o be_v utter_v in_o the_o two_o former_a to_o conclude_v wheresoever_o the_o earth_n be_v general_o place_v without_o the_o middle_a of_o the_o world_n there_o be_v the_o reason_n of_o the_o day_n equal_a increase_n &_o decrease_v in_o the_o thwart_a sphere_n confound_v and_o there_o shall_v either_o no_o equinoctial_o at_o all_o be_v cause_v when_o the_o sun_n occupi_v the_o middle_a way_n between_o either_o tropic_n nor_o the_o moon_n always_o shadow_v the_o sun_n light_n although_o she_o come_v right_a against_o the_o body_n of_o the_o sun_n and_o the_o earth_n not_o stand_v in_o the_o middle_a of_o the_o world_n shall_v not_o shed_v or_o stretch_v his_o shadow_n to_o the_o moon_n so_o that_o all_o these_o absurdity_n and_o vain_a argument_n do_v grant_v that_o the_o earth_n can_v be_v in_o any_o other_o place_n then_o stand_v in_o the_o middle_n of_o the_o world_n that_o the_o earth_n abide_v fix_v and_o unmoveable_a in_o the_o middle_a of_o the_o world_n that_o neither_o the_o earth_n in_o right_a nor_o cyrculare_a motion_n be_v draw_v about_o the_o exe_n tree_n of_o the_o world_n nor_o about_o any_o other_o exetrÃ©e_n but_o to_o rest_v and_o stay_v in_o the_o middle_a of_o the_o world_n both_o holy_a scripture_n confirm_v and_o physic_n reason_n prove_v for_o the_o psalm_n say_v which_o establish_v the_o earth_n upon_o his_o foundation_n that_o it_o shall_v never_o be_v move_v and_o ecclesiastes_n in_o the_o first_o chapter_n say_v that_o the_o earth_n stand_v for_o ever_o and_o the_o sun_n both_o rise_v set_v and_o go_v about_o unto_o the_o place_n where_o he_o arise_v also_o that_o the_o sun_n be_v draw_v about_o the_o psalm_n do_v manifest_o witness_v where_o it_o be_v say_v that_o for_o the_o sun_n he_o have_v place_v a_o tabernacle_n in_o they_o and_o he_o as_o a_o bridegroom_n go_v forth_o of_o his_o chamber_n do_v rejoice_v as_o a_o giant_n to_o run_v his_o course_n which_o go_v forth_o from_o the_o uttermost_a bind_v of_o heaven_n and_o return_v about_o unto_o the_o end_n of_o it_o again_o also_o it_o be_v know_v and_o number_v among_o miracle_n that_o god_n will_v have_v the_o sun_n to_o continue_v the_o physic_n reason_n be_v these_o that_o of_o one_o simple_a body_n be_v only_o one_o simple_a motion_n that_o the_o earth_n be_v a_o simple_a body_n therefore_o thereunto_o agree_v but_o one_o simple_a motion_n but_o of_o the_o simple_a motion_n i_o have_v before_o teach_v that_o the_o one_o be_v in_o right_a manner_n and_o the_o other_o in_o cyrculare_a form_n that_o the_o right_a motion_n seek_v downward_o unto_o the_o middle_a whether_o be_v carry_v they_o settle_v and_o rest_v therefore_o be_v the_o motion_n of_o the_o earth_n not_o cyrculare_a about_o by_o the_o second_o appear_v that_o every_o grave_n or_o heavy_a matter_n by_o nature_n be_v through_o his_o weight_n carry_v after_o a_o most_o straight_a 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shall_v be_v move_v or_o carry_v it_o shall_v of_o necessity_n be_v either_o draw_v in_o right_a or_o cyrculare_a motion_n if_o it_o shall_v be_v carry_v in_o a_o right_a manner_n see_v it_o be_v the_o heavy_a of_o all_o other_o it_o shall_v by_o his_o swiftness_n move_v and_o go_v before_o all_o other_o heavy_a thing_n and_o shall_v leave_v behind_o the_o live_a creature_n and_o other_o thing_n fasten_v to_o it_o and_o shall_v also_o leave_v they_o hang_v behind_o in_o the_o air_n if_o the_o earth_n shall_v be_v draw_v about_o by_o a_o cyrculare_a motion_n &_o shall_v in_o a_o day_n turn_n at_o the_o least_o be_v carry_v about_o the_o exetrÃ©e_n from_o the_o west_n into_o the_o east_n as_o either_o alone_a or_o with_o the_o first_o orb_n then_o every_o day_n shall_v many_o most_o disorder_a thing_n and_o contrary_a to_o experience_n happen_v for_o it_o shall_v be_v a_o most_o speedy_a motion_n and_o swiftness_n inseparable_a which_o shall_v draw_v cyrcular_o all_o the_o whole_a earthly_a body_n round_o about_o in_o 24._o hour_n and_o therefore_o that_o the_o earth_n be_v carry_v with_o so_o swift_a motion_n shall_v not_o only_o overthrow_v building_n but_o high_a hill_n and_o great_o shake_v and_o harm_v all_o thing_n fasten_v and_o grow_v on_o the_o earth_n yea_o all_o live_a beast_n and_o other_o creature_n dwell_v on_o the_o face_n of_o the_o earth_n shall_v be_v likewise_o shake_v and_o harm_v also_o the_o cloud_n fowl_n and_o whatsoever_o live_v and_o hang_v in_o the_o air_n shall_v be_v carry_v and_o leave_v behind_o at_o the_o set_n in_o the_o west_n for_o by_o the_o swift_a turn_v about_o of_o the_o earth_n shall_v all_o thing_n be_v over_o turn_v and_o leave_v behind_o by_o a_o

equinoctial_a point_n be_v then_o imagine_v to_o be_v draw_v about_o with_o the_o motion_n of_o the_o first_o mover_n that_o have_v the_o same_o centre_n with_o the_o earth_n at_o that_o time_n by_o which_o the_o plain_n of_o the_o equatoure_n be_v then_o note_v to_o pass_v so_o that_o this_o be_v the_o cause_n why_o pliny_n give_v that_o name_n to_o it_o see_v a_o like_a day_n and_o night_n be_v cause_v the_o sun_n then_o run_v under_o the_o equatoure_n throughout_o the_o earth_n as_o no_o man_n of_o skill_n make_v doubt_n of_o it_o be_v name_v the_o circle_n of_o the_o high_a solstice_n but_o this_o come_v to_o pass_v by_o reason_n of_o those_o which_o dwell_v under_o the_o equinoctial_a and_o have_v four_o solstice_n as_o two_o on_o high_a &_o two_o below_o have_v four_o shadow_n in_o the_o year_n and_o the_o sun_n pass_v twice_o a_o year_n by_o the_o zenith_n right_a over_o their_o head_n as_o when_o the_o sun_n be_v in_o the_o begin_n of_o aries_n and_o libra_n and_o to_o they_o also_o dwell_v under_o the_o equinoctial_a be_v two_o summer_n and_o two_o winter_n and_o the_o heat_n be_v mighty_a and_o strong_a when_o the_o sun_n draw_v from_o they_o into_o the_o north_n or_o south_n yet_o do_v the_o sun_n always_o burn_v the_o earth_n right_a under_o it_o cause_v a_o burn_a zone_n and_o not_o part_v far_o from_o their_o head_n so_o that_o their_o winter_n be_v not_o perfect_o and_o simple_o name_v winter_n as_o with_o we_o which_o be_v cold_a season_n in_o deed_n but_o rather_o with_o they_o be_v a_o continual_a summer_n yet_o for_o that_o the_o cause_n of_o heat_n with_o they_o be_v not_o unformal_o and_o in_o a_o like_a manner_n always_o for_o that_o the_o sun_n do_v not_o approach_v equal_o the_o zenith_n of_o that_o part_n as_o the_o same_o be_v know_v to_o many_o whereof_o the_o heat_n to_o they_o be_v not_o unifourme_v and_o a_o like_a in_o burn_v but_o sometime_o hot_a and_o sometime_o slack_a and_o mean_a of_o heat_n so_o that_o when_o the_o sun_n be_v in_o the_o zenith_n as_o in_o the_o beginning_n of_o aries_n and_o libra_n and_o that_o they_o be_v in_o their_o high_a solstice_n then_o be_v the_o heat_n most_o vehement_a with_o they_o yet_o not_o without_o the_o sun_n this_o heat_n can_v be_v call_v mighty_a but_o when_o as_o the_o sun_n be_v go_v from_o their_o zenith_n which_o happen_v in_o the_o begin_n of_o cancer_n and_o capricorn_n where_o their_o low_a solstice_n be_v the_o heat_n be_v then_o slack_a that_o be_v less_o burn_n so_o that_o the_o weak_a heat_n happen_v in_o the_o low_a solstice_n may_v in_o a_o manner_n be_v name_v cold_a in_o respect_n of_o the_o most_o burn_a heat_n happen_v in_o the_o high_a solstice_n yet_o it_o have_v the_o nomination_n of_o winter_n although_o no_o cold_a may_v be_v feel_v what_o the_o office_n or_o utility_n of_o the_o equinoctial_a be_v the_o cause_n why_o the_o skilful_a practisioner_n take_v and_o use_v the_o equinoctial_a with_o the_o office_n which_o they_o attribute_v to_o it_o 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that_o c._n b._n the_o ark_n of_o the_o distance_n of_o place_n which_o reach_v out_o right_a be_v a_o quarter_n of_o the_o great_a circle_n wherefore_o if_o the_o degree_n be_v multiply_v by_o 15._o and_o the_o minute_n divide_v by_o 4._o the_o distance_n than_o shall_v be_v know_v as_o for_o example_n nubarta_n of_o taprobone_n have_v the_o longitude_n 121._o degree_n and_o 20._o minute_n but_o no_o latitude_n the_o city_n pyse_v of_o the_o tuscans_n in_o italy_n have_v the_o longitude_n 31._o degree_n and_o 20._o minute_n almost_o the_o latitude_n of_o 42._o degree_n and_o 11._o minute_n then_o the_o angle_n of_o the_o difference_n of_o longitude_n be_v right_a for_o the_o difference_n be_v of_o 90._o degree_n or_o a_o whole_a quadrant_a these_o then_o multiply_v by_o 15._o do_v procreate_v or_o bring_v forth_o the_o distance_n to_o be_v of_o 13_o 50._o german_a mile_n essina_fw-la a_o mart-towne_n or_o principal_a â—itty_n of_o aethiope_n under_o the_o government_n of_o egypt_n have_v the_o longitude_n of_o 70._o degree_n and_o 3._o minute_n but_o it_o have_v no_o latitude_n the_o will_v of_o tyrus_n have_v the_o longitude_n of_o 67._o degree_n and_o no_o minute_n the_o latitude_n of_o 33._o degree_n and_o 20._o minute_n the_o difference_n of_o longitude_n between_o the_o one_o and_o the_o other_o be_v of_o 3._o degree_n and_o 3._o minute_n the_o complement_n of_o the_o difference_n of_o longitude_n be_v of_o 86._o degree_n and_o 57_o minute_n of_o the_o latitude_n of_o the_o place_n not_o stand_v under_o the_o equatour_n the_o complement_n be_v 56._o degree_n and_o 40._o minute_n the_o royal_a city_n colipolis_n of_o ind_n above_o the_o river_n ganges_n have_v the_o longitude_n of_o 164._o degree_n and_o 20._o minute_n but_o no_o latitude_n know_v the_o longitude_n of_o tyrus_n be_v of_o 67._o degree_n and_o no_o minute_n the_o latitude_n have_v 33_o degree_n &_o 20._o minute_n the_o difference_n of_o longitude_n great_a than_o the_o quadrant_a be_v of_o 97._o degree_n and_o 20._o minute_n the_o quadrant_a be_v abate_v there_o remain_v 7._o degree_n and_o 20._o minute_n the_o complement_n of_o the_o latitude_n of_o tyrus_n be_v of_o 56._o degree_n and_o 40._o minute_n if_o of_o two_o place_n give_v either_o stand_v without_o the_o equatoure_n towards_o some_o one_o of_o the_o opposite_a quarter_n and_o the_o other_o under_o the_o equatoure_n then_o be_v the_o reason_n of_o the_o stand_v consider_v and_o the_o angle_n of_o the_o difference_n of_o longitude_n for_o the_o one_o differ_v either_o by_o like_a space_n from_o each_o bound_n and_o be_v near_a to_o the_o pole_n the_o other_o to_o the_o equatoure_n the_o same_o appear_v by_o the_o compare_v latitude_n which_o like_a top_n of_o either_o place_n contain_v the_o same_o parallel_n the_o unlike_a be_v distant_a and_o the_o parallel_n by_o a_o space_n separate_v towards_o each_o place_n do_v argue_v peculiar_a and_o proper_a top_n but_o the_o angle_n of_o the_o difference_n of_o 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both_o appear_v to_o contain_v 1077._o german_a mile_n and_o a_o half_a if_o of_o two_o place_n give_v the_o one_o be_v further_a distant_a from_o the_o equatour_n than_o the_o other_o and_o the_o greatness_n of_o the_o compliment_n of_o either_o latitude_n differ_v as_o that_o the_o arke_n of_o the_o latitude_n be_v unequal_a so_o that_o the_o diversity_n of_o the_o angle_n include_v with_o the_o ark_n of_o the_o compliment_n shall_v vary_v the_o method_n or_o reason_n of_o the_o search_n for_o that_o the_o one_o give_v and_o form_v a_o right_a angle_n another_o a_o sharp_a another_o a_o blunt_a angle_n yet_o to_o these_o the_o angle_n of_o the_o difference_n of_o longitude_n be_v right_a the_o example_n of_o two_o place_n differ_v alike_o both_o in_o the_o longitude_n and_o latitude_n here_o appear_v the_o city_n tacola_n which_o at_o this_o day_n be_v call_v malchaia_n or_o magna_n a_o place_n of_o much_o resort_n of_o merchant_n this_o from_o the_o west_n have_v the_o longitude_n of_o 160._o degree_n and_o 30._o minute_n of_o latitude_n from_o the_o equatour_n it_o be_v 4._o degree_n and_o 15._o scruple_n distant_a the_o other_o city_n and_o place_n in_o the_o country_n of_o pontus_n name_v trapezus_n be_v a_o head_n city_n of_o cappadocia_n and_o be_v the_o ancient_a seat_n of_o the_o emperor_n this_o have_v the_o longitude_n of_o 70._o degree_n and_o 30._o minute_n and_o the_o latitude_n of_o the_o same_o be_v of_o 43._o degree_n and_o 5._o scruple_n the_o difference_n of_o longitude_n between_o the_o one_o and_o the_o other_o be_v of_o 90._o degree_n the_o ark_n of_o distance_n between_o both_o place_n be_v of_o 87._o degree_n and_o 6._o minute_n to_o which_o 1306._o &_o a_o half_a german_a mile_n answer_v if_o the_o unequal_a arke_n of_o the_o latitude_n and_o angle_v of_o the_o difference_n of_o longitude_n be_v lesser_a than_o the_o right_n it_o canse_v a_o diverse_a reason_n of_o the_o search_n by_o which_o the_o ark_n of_o the_o complement_n of_o the_o 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which_o we_o see_v and_o observe_v the_o celestial_a body_n that_o rise_v above_o and_o set_v under_o it_o so_o that_o they_o evident_o show_v that_o the_o same_o devide_v heaven_n into_o two_o equal_a half_a sphere_n as_o above_o remember_v for_o in_o every_o moment_n do_v six_o sign_n of_o the_o zodiac_n appear_v above_o the_o earth_n as_o in_o the_o night_n to_o the_o eye_n may_v be_v number_v and_o note_v that_o six_o sign_n set_v under_o the_o earth_n and_o be_v go_v out_o of_o sight_n this_o be_v also_o call_v rational_a see_v the_o eye_n can_v discern_v unto_o the_o high_a heaven_n nor_o apt_o frame_v this_o division_n of_o heaven_n into_o two_o equal_a half_n yet_o the_o mind_n by_o examine_v gather_v and_o conclude_v as_o by_o a_o perseverance_n pass_v before_o and_o in_o the_o show_n of_o the_o star_n that_o rise_v and_o set_v and_o in_o consider_v the_o tarriance_n of_o they_o in_o either_o half_a sphere_n this_o beside_o be_v call_v the_o artificial_a horizone_fw-fr in_o that_o by_o the_o benefit_n of_o the_o astronomical_a art_n it_o be_v invent_v or_o thus_o not_o much_o agree_v to_o the_o former_a the_o rational_a horizone_n which_o of_o some_o be_v name_v natural_a and_o according_a to_o the_o mind_n of_o ptolemy_n cleomedes_n and_o proclus_n belong_v unto_o the_o sphere_n of_o the_o fix_a star_n and_o reach_v even_o unto_o the_o same_o sphere_n and_o devide_v heaven_n into_o equal_a half_a sphere_n the_o one_o half_a appear_v above_o the_o same_o circle_n and_o the_o other_o half_o not_o appear_v hide_v under_o it_o such_o a_o manner_n of_o imagine_v be_v not_o in_o vain_a nor_o without_o cause_n determine_v and_o devise_v see_v that_o man_n in_o the_o night_n and_o in_o a_o clear_a season_n stand_v on_o a_o even_a ground_n may_v see_v star_n arise_v unto_o sight_n in_o the_o east_n which_o a_o little_a before_o appear_v not_o to_o the_o sight_n and_o those_o after_o draw_v by_o the_o first_o mover_n unto_o the_o west_n horizone_fw-fr that_o begin_v to_o go_v down_o be_v set_v and_o do_v not_o after_o appear_v by_o which_o they_o conclude_v that_o there_o be_v a_o circle_n in_o heaven_n devide_v and_o end_v matter_n in_o sight_n from_o those_o not_o see_v so_o that_o they_o nothing_o doubt_v to_o call_v this_o circle_n the_o rational_a horizon_n which_o together_o with_o the_o upper_a face_n by_o the_o centre_n of_o the_o earth_n stretch_v round_o about_o unto_o heaven_n and_o by_o the_o four_o quarter_n of_o the_o world_n as_o east_n west_n north_n and_o south_n divided_a thing_n see_v from_o those_o not_o see_v and_o a_o great_a help_n it_o give_v unto_o this_o imagination_n that_o the_o earth_n be_v perfect_a round_a and_o emboss_a in_o that_o of_o a_o globe_n through_o his_o emboss_n can_v be_v see_v but_o the_o half_a at_o a_o time_n this_o also_o yield_v a_o help_n to_o reason_n by_o the_o appearance_n in_o the_o celestial_a body_n although_o our_o sight_n can_v attain_v unto_o the_o starry_a sky_n nor_o full_o discern_v heaven_n although_o a_o man_n earnest_o look_v up_o and_o behold_v it_o yet_o do_v we_o see_v star_n who_o light_n extend_v unto_o our_o eye_n as_o by_o this_o example_n may_v evident_o appear_v of_o that_o royal_a star_n name_v the_o heart_n of_o the_o lion_n which_o in_o our_o time_n be_v in_o the_o 22._o degree_n almost_o of_o leo._n and_o the_o star_n stand_v on_o the_o left_a buttock_n of_o aquarius_n in_o the_o 22._o degree_n almost_o of_o the_o same_o signeâ—_n that_o be_v diametraly_a or_o right_o against_o one_o the_o other_o situate_v which_o do_v on_o this_o wise_a that_o as_o the_o one_o appear_v above_o the_o horizone_n the_o other_o be_v hide_v under_o it_o et_fw-la e_fw-la contra_fw-la so_o that_o as_o the_o one_o rise_v the_o other_o set_v and_o on_o this_o manner_n do_v they_o continual_o of_o which_o reason_n it_o be_v conclude_v that_o a_o certain_a circle_n devide_v heaven_n into_o twoe_o equal_a half_n and_o do_v part_n as_o afore_o teach_v the_o thing_n see_v from_o those_o not_o see_v although_o the_o tarriance_n be_v but_o small_a in_o that_o this_o star_n appear_v a_o very_a small_a while_n above_o the_o earth_n through_o the_o same_o that_o this_o star_n of_o aquarius_n be_v southerly_a from_o the_o ecclipticke_a line_n it_o great_o force_v not_o the_o like_a example_n may_v be_v apply_v of_o the_o superior_a planet_n when_o they_o be_v situate_v or_o appear_v opposite_a in_o heaven_n as_o they_o also_o may_v be_v evident_o see_v in_o the_o opposition_n of_o the_o sun_n and_o moon_n when_o they_o be_v see_v near_o to_o the_o east_n and_o west_n horizone_fw-fr and_o where_o the_o moon_n be_v near_o the_o sun_n way_n the_o diameter_n of_o the_o rational_a horizone_fw-fr although_o the_o same_o can_v be_v find_v nor_o comprehend_v through_o his_o exceed_a distance_n by_o exterior_a sense_n and_o judgement_n yet_o reason_n itself_o judge_v that_o the_o same_o may_v extend_v unto_o the_o starry_a sky_n who_o sight_n from_o that_o not_o see_v it_o do_v describe_v and_o the_o same_o be_v of_o 32655932._o german_a mile_n and_o 20._o minute_n which_o distance_n by_o the_o outward_a sense_n be_v judge_v as_o infinite_a the_o pole_n of_o the_o rational_a horizon_n be_v the_o vertical_a point_n for_o it_o be_v distant_a by_o a_o quarter_n of_o the_o great_a circle_n that_o be_v 90._o degree_n from_o the_o compass_n round_o about_o of_o the_o horizon_n yet_o not_o to_o all_o place_n serve_v one_o horizon_n for_o that_o as_o a_o man_n change_v place_n and_o country_n even_o so_o arise_v a_o new_a horizon_n whether_o so_o ever_o he_o travail_v and_o new_a horizon_n also_o appear_v and_o happen_v if_o a_o man_n either_o travail_n towards_o either_o of_o the_o pole_n of_o the_o world_n or_o in_o right_a line_n towards_o the_o east_n and_o west_n and_o the_o like_a unto_o diverse_a quarter_n as_o into_o the_o north_n the_o east_n or_o west_n or_o contrariwise_o journey_v by_o the_o opposite_a course_n the_o horizone_n vary_v and_o change_v and_o if_o the_o place_n be_v either_o situate_v partly_o towards_o the_o east_n or_o west_n and_o partly_o towards_o the_o south_n or_o north_n the_o horizone_n there_o decline_v and_o vary_v they_o partly_o towards_o the_o east_n or_o west_n and_o partly_o towards_o the_o south_n or_o north_n which_o happen_v by_o reason_n that_o the_o city_n be_v not_o under_o one_o parallel_n and_o city_n or_o country_n situate_v under_o one_o meridiane_n do_v vary_v their_o horizon_n direct_o either_o towards_o the_o south_n or_o north._n there_o be_v as_o many_o horizon_n as_o there_o be_v meridians_fw-la and_o for_o so_o much_o as_o that_o of_o all_o place_n can_v be_v one_o manner_n of_o zenith_n therefore_o can_v one_o meridiane_a serve_v for_o all_o place_n and_o see_v the_o pole_n of_o the_o horizone_n be_v the_o zenith_n of_o it_o which_o be_v in_o the_o meridiane_a and_o that_o to_o each_o place_n belong_v a_o proper_a zenith_n and_o a_o proper_a meridian_n it_o follow_v that_o to_o each_o place_n belong_v a_o proper_a horizone_n towards_o the_o pole_n by_o the_o change_a of_o place_n be_v the_o horizon_n change_v and_o the_o diverse_a elevation_n of_o the_o pole_n by_o a_o certain_a occasion_n cause_v also_o they_o evident_o declare_v a_o like_a alteration_n to_o be_v cause_v in_o the_o respect_n of_o the_o opposite_a quarter_n of_o the_o east_n and_o west_n and_o do_v procure_v and_o cause_v diverse_a beginning_n of_o the_o day_n and_o night_n insomuch_o that_o the_o star_n general_o appear_v and_o see_v do_v by_o order_n of_o time_n and_o in_o sundry_a place_n arise_v and_o set_v in_o the_o west_n and_o hide_v they_o under_o the_o horizon_n for_o the_o same_o manner_n of_o eclipse_n which_o be_v see_v at_o arbela_n after_o pliny_n in_o the_o fifte_a hour_n of_o the_o night_n to_o they_o of_o carthage_n it_o appear_v in_o the_o second_o hour_n so_o that_o the_o sun_n soon_o set_v to_o they_o of_o arbela_n by_o three_o hour_n then_o to_o they_o of_o carthage_n therefore_o the_o horizon_n of_o arbela_n be_v much_o further_a distant_a into_o the_o east_n than_o the_o horizon_n of_o carthage_n the_o same_o rational_a horizon_n as_o it_o be_v on_o the_o plainness_n of_o the_o earth_n draw_v and_o streach_v unto_o the_o sky_n do_v the_o meridian_n extend_v to_o it_o downward_o and_o divide_v the_o same_o into_o twoe_o half_a circle_n of_o which_o the_o one_o decline_v unto_o the_o east_n and_o thereof_o call_v the_o east_n quarter_n and_o the_o other_o unto_o the_o west_n and_o of_o that_o name_v the_o west_n quarter_n and_o the_o diverse_a place_n of_o the_o sun_n rise_v and_o set_v do_v sundry_a wise_a divide_v either_o half_a circle_n for_o the_o equinoctial_a rise_n and_o the_o equinoctial_a set_n which_o be_v point_n of_o the_o

subtract_v the_o right_a ascension_n of_o y_fw-fr e_o west_n part_n from_o the_o right_a ascension_n of_o the_o mid_a heaven_n or_o noonestead_n and_o the_o remainder_n or_o rest_n as_o afore_o teach_v be_v distribute_v into_o three_o equal_a part_n after_o that_o in_o the_o end_n of_o the_o first_o portion_n from_o the_o noonstead_o towards_o the_o west_n the_o ancient_n constitute_v or_o place_v the_o bind_v of_o the_o nine_o house_n with_o the_o circle_n come_v from_o the_o pole_n of_o y_fw-fr e_o world_n and_o in_o the_o bind_v of_o the_o second_o portion_n be_v the_o beginning_n of_o the_o eight_o house_n form_v these_o attain_v the_o degree_n and_o part_n of_o the_o degree_n of_o the_o zodiac_n answer_v to_o each_o arke_n of_o the_o equatoure_n be_v seek_v in_o the_o table_n of_o the_o right_a sphere_n but_o the_o house_n stand_v under_o be_v define_v and_o make_v like_o to_o their_o opposite_n and_o see_v this_o manner_n of_o form_v the_o house_n be_v unperfect_a therefore_o shall_v here_o no_o further_o be_v teach_v of_o the_o same_o in_o which_o a_o e._n be_v the_o vertical_a circle_n cross_v a_o d_o e_o c._n at_o right_a angle_n f_o g_o b._n the_o equatour_n do_v g_o c._n the_o horizon_n d._n and_o c._n be_v the_o point_n in_o which_o the_o distinguisher_n of_o the_o house_n concur_v and_o meet_v which_o also_o do_v make_v equal_a distinction_n in_o the_o vertical_a circle_n and_o thereby_o be_v the_o house_n note_v and_o divide_v but_o the_o late_a astronomer_n move_v by_o the_o authority_n of_o the_o incomparable_a mathematician_n regiomontanus_n inurnt_v and_o devise_v another_o order_n of_o the_o house_n more_o agree_v to_o reason_n than_o the_o former_a for_o they_o divide_v the_o quarter_n of_o the_o equatour_n comprehend_v between_o the_o horizon_n and_o noonstead_o into_o three_o equal_a space_n and_o by_o each_o section_n they_o imagine_v great_a circle_n join_v in_o the_o section_n of_o the_o meridian_n and_o horizon_n as_o the_o former_a although_o all_o these_o be_v plain_o and_o more_o evident_o teach_v and_o know_v in_o the_o material_a sphere_n yet_o we_o think_v good_a to_o speak_v somewhat_o as_o our_o possibility_n serve_v in_o plain_a form_n wherefore_o grant_v that_o a_o f_o c._n be_v the_o meridian_n a._n the_o top_n n._n the_o northerly_a pole_n k._n the_o southerly_a pole_n b._n and_o c._n the_o point_n of_o the_o section_n of_o the_o horizon_n and_o meridian_n where_o the_o distinguisher_n of_o the_o house_n concur_v and_o meet_v which_o also_o be_v imagine_v by_o the_o equal_a distinction_n of_o the_o equatour_n e_o i_o l._n as_o to_o the_o eye_n sufficient_o appear_v that_o b_o i_o c._n be_v the_o horizon_n circle_n d._n the_o easterly_a point_n or_o rise_n of_o the_o equatour_n from_o which_o the_o first_o house_n take_v his_o beginning_n the_o circle_n of_o position_n all_o these_o circle_n be_v set_v down_o the_o astronomer_n notwithstanding_o do_v write_v of_o another_o circle_n who_o use_n and_o office_n serve_v to_o great_a purpose_n for_o the_o art_n of_o direct_v &_o search_v other_o more_o secret_a matter_n in_o astronomy_n and_o be_v thereof_o call_v the_o circle_n of_o position_n which_o pass_v at_o all_o time_n by_o the_o former_a section_n of_o the_o meridian_n and_o horizone_n and_o by_o the_o centre_n of_o the_o star_n or_o of_o any_o other_o purpose_a point_n in_o heaven_n like_v to_o the_o soresaid_a circle_n whether_o that_o star_n be_v above_o the_o earth_n or_o under_o the_o earth_n that_o this_o may_v clear_o appear_v mark_v and_o consider_v this_o figure_n here_o express_v where_o the_o letter_n c._n represent_v the_o top_n point_n d._n the_o northerly_a pole_n e._n the_o opposite_a pole_n a_o g_o b_o f._n the_o circle_n of_o the_o position_n pass_v by_o the_o section_n of_o the_o horizon_n and_o meridian_n b_o c_o d_o e._n the_o meridian_n a_o b._n the_o horizone_n g_o f._n the_o centre_n of_o the_o star_n of_o which_o the_o one_o be_v in_o g._n above_o the_o earth_n and_o the_o other_o under_o the_o earth_n in_o the_o point_n f._n and_o many_o other_o circle_n beside_o all_o these_o which_o hitherto_o have_v be_v describe_v may_v be_v invent_v and_o imagine_v in_o the_o sphere_n for_o the_o necessity_n of_o the_o working_n the_o difinition_n name_n and_o office_n of_o the_o four_o lesser_a circle_n the_o parallel_n be_v lesser_a circle_n which_o from_o either_o of_o the_o great_a circle_n draw_v thwart_o on_o the_o sphere_n do_v equal_o difand_v be_v distant_a from_o the_o equatoure_n or_o zodiac_n towards_o their_o pole_n so_o y_o â—_o they_o do_v not_o divide_v the_o sphere_n into_o equal_a half_a sphere_n but_o into_o unequal_a portion_n for_o see_v the_o sphere_n from_o the_o middle_n streach_v or_o draw_v by_o little_a and_o little_o straight_a and_o narow_a towards_o the_o further_a and_o high_a top_n even_o so_o must_v the_o parallel_n which_o be_v distant_a from_o the_o middle_n and_o great_a and_o that_o by_o equal_a space_n on_o each_o side_n agree_v draw_v of_o necessity_n narrow_a and_o so_o much_o the_o narower_n as_o they_o near_o approach_v unto_o the_o pole_n as_o write_v theodosius_n in_o the_o sixth_o proposition_n of_o his_o first_o book_n of_o the_o sphere_n and_o the_o same_o author_n in_o the_o 14._o proposition_n of_o his_o first_o book_n of_o the_o sphere_n and_o in_o the_o sixth_o of_o his_o second_o book_n write_v that_o all_o the_o parallel_n have_v the_o same_o pole_n agree_v with_o the_o great_a circle_n unto_o which_o the_o parallel_n be_v and_o certain_a of_o the_o parallel_n be_v apply_v unto_o the_o plain_a of_o the_o equatoure_n other_o unto_o the_o plain_a of_o the_o eccliptick_a these_o do_v as_o well_o the_o fix_a star_n as_o the_o planet_n place_v without_o the_o ecclipticke_a and_o draw_v about_o the_o exetrÃ©e_n stretch_v bâ—_n the_o pole_n of_o the_o ecclipticke_a and_o centre_n of_o the_o world_n describe_v yet_o do_v all_o their_o centre_n consist_v in_o the_o exetrÃ©e_n of_o the_o zodiac_n and_o the_o middle_a circle_n of_o they_o and_o the_o great_a be_v the_o ecclipticke_a these_o also_o do_v the_o same_o star_n and_o the_o verticiall_a or_o top_n point_v of_o each_o place_n or_o any_o other_o apply_v unto_o the_o plain_a of_o the_o equatour_n draw_v as_o it_o be_v by_o the_o first_o mover_n about_o the_o exetrÃ©e_n and_o pole_n of_o the_o world_n define_v and_o the_o centre_n of_o these_o be_v in_o the_o exetrÃ©e_n of_o the_o world_n or_o equatoure_n but_o the_o middle_n and_o great_a of_o these_o be_v the_o equatour_n it_o be_v manifest_a by_o that_o afore_o teach_v that_o the_o sun_n in_o every_o day_n do_v gain_v towards_o the_o east_n against_o the_o daily_a motion_n one_o degree_n of_o the_o zodiac_n and_o of_o this_o happen_v that_o he_o in_o each_o day_n through_o the_o thwartnesse_n of_o the_o zodiac_n describe_v a_o certain_a new_a circle_n in_o heaven_n and_o in_o the_o next_o day_n another_o and_o so_o forth_o by_o order_n as_o the_o like_a may_v be_v compare_v by_o a_o small_a cord_n wind_v close_o about_o a_o nun_n or_o top_n begin_v from_o the_o foot_n upward_o even_o so_o the_o sun_n beginning_n to_o turn_v again_o at_o the_o first_o degree_n of_o capricorn_n do_v every_o day_n after_o change_v a_o new_a parallel_n until_o he_o become_v back_o unto_o the_o first_o degree_n of_o cancer_n and_o by_o and_o by_o after_o return_v from_o cancer_n he_o in_o the_o like_a order_n go_v unto_o the_o capricorn_n so_o that_o in_o the_o next_o day_n follow_v the_o sun_n rise_v not_o with_o the_o same_o parallel_n above_o the_o horizone_n that_o he_o do_v in_o the_o morning_n before_o nor_o shall_v not_o run_v the_o next_o morrow_n in_o that_o parallel_n that_o he_o do_v in_o this_o day_n and_o each_o of_o these_o parallel_n even_o as_o the_o great_a circle_n contain_v 360._o degree_n which_o be_v so_o much_o lesser_a than_o the_o degree_n of_o the_o great_a circle_n and_o occupy_v or_o comprehend_v somuch_o the_o lesser_a space_n in_o heaven_n as_o answer_v to_o the_o upper_a face_n of_o the_o earth_n as_o by_o how_o much_o the_o more_o from_o the_o compass_n and_o largeness_n of_o the_o great_a circle_n they_o lack_v by_o reason_n of_o the_o distance_n and_o although_o they_o yield_v and_o be_v less_o in_o the_o quantity_n yet_o unto_o the_o degree_n of_o the_o great_a circle_n be_v they_o agreeable_a and_o like_a as_o write_v theodosius_n in_o the_o 14._o proposition_n of_o his_o second_o book_n of_o the_o sphere_n these_o lesser_a circle_n do_v offer_n and_o teach_v sundry_a utility_n first_o the_o parallel_n of_o which_o on_o this_o side_n and_o beyond_o the_o equatour_n be_v 182_o that_o the_o sun_n yearly_a by_o his_o daily_a motion_n describe_v and_o do_v express_v the_o cause_n of_o the_o continual_a equality_n of_o

Selected quad for the lemma: day_n

Text snippets containing the quad