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depress_v so_o that_o the_o cause_n of_o the_o diversity_n of_o this_o appearance_n be_v only_o the_o swell_n of_o the_o earth_n to_o be_v brief_a the_o beginning_n and_o space_n of_o the_o day_n and_o night_n and_o that_o in_o diverse_a place_n of_o the_o earth_n do_v vary_v and_o yet_o follow_v in_o a_o manner_n one_o order_n but_o this_o variety_n can_v not_o happen_v if_o the_o earth_n be_v not_o spherical_a and_o all_o about_o equal_o round_o herein_o exclude_v both_o valley_n and_o the_o top_n of_o hill_n which_o apply_v unto_o the_o body_n of_o the_o earth_n cause_v no_o inequality_n or_o diversity_n at_o all_o for_o the_o swell_n of_o the_o earth_n cause_v that_o the_o star_n be_v not_o see_v together_o in_o all_o country_n but_o draw_v about_o by_o little_a and_o little_a by_o a_o certain_a succession_n and_o order_n that_o they_o so_o appear_v soon_o to_o they_o in_o the_o east_n part_n then_o to_o they_o in_o the_o west_n through_o the_o swell_a as_o yet_o not_o above_o 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body_n round_o but_o the_o hollow_a upper_a face_n be_v the_o inward_a compass_n about_o in_o the_o hollow_a orb_n or_o the_o body_n hollow_a a_o centre_n be_v the_o middle_a prick_n in_o a_o circle_n from_o which_o all_o right_a line_n draw_v unto_o the_o compass_n about_o the_o same_o be_v equal_a between_o the_o one_o and_o the_o other_o also_o a_o centre_n of_o the_o sphere_n be_v a_o middle_a prick_n in_o the_o sphere_n from_o which_o all_o right_a line_n draw_v unto_o the_o emboss_a upper_a face_n we_o agree_v in_o length_n the_o exe_n tree_n be_v a_o right_a line_n draw_v by_o the_o centre_n of_o â—e_a sphere_n and_o with_o both_o his_o end_n pierce_v unto_o the_o â—des_n of_o the_o emboss_a upper_a face_n about_o which_o the_o sphere_n 〈◊〉_d turn_v the_o pole_n be_v the_o very_a end_n of_o the_o exetrée_n appea_v on_o each_o side_n about_o which_o heaven_n be_v turn_v also_o the_o â—oles_n of_o the_o turn_n be_v name_v the_o end_n and_o top_n and_o name_v beside_o the_o end_a 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pole_n of_o the_o little_a bear_n near_o to_o it_o which_o pole_n be_v continua_o see_v and_o know_v by_o the_o two_o star_n near_o to_o it_o of_o which_o the_o one_o be_v notable_a and_o clear_a of_o the_o third_o bigness_n stand_v at_o the_o end_n or_o top_n of_o the_o tail_n of_o the_o little_a bear_n distant_a from_o the_o very_a pole_n 4._o degree_n and_o 9_o minute_n but_o the_o other_o dimmer_n of_o the_o four_o bigness_n not_o far_o distant_a from_o the_o other_o star_n afore_o be_v come_v near_o and_o do_v scarce_o differ_v now_o 50._o minute_n from_o the_o place_n of_o the_o true_a and_o very_a pole_n if_o any_o will_v know_v the_o pole_n of_o the_o world_n or_o pole_n star_n let_v he_o turn_v his_o face_n toward_o the_o north_n the_o sky_n then_o be_v clear_a leave_v the_o east_n on_o the_o right_a side_n and_o west_n on_o the_o left_a side_n and_o he_o shall_v see_v in_o the_o little_a bear_n seven_o star_n place_v like_o to_o the_o form_n of_o the_o star_n of_o the_o 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worâ—_n of_o nothing_o to_o end_n the_o same_o may_v be_v a_o proper_a mansion_n place_n for_o man_n in_o which_o he_o may_v daily_o behold_v and_o make_v know_v aristotle_n teach_v two_o definition_n of_o the_o world_n the_o one_o that_o it_o be_v a_o apt_a frame_n wrought_v consist_v both_o of_o heaven_n and_o earth_n and_o of_o the_o celestial_a and_o inferior_a body_n apt_o distribute_v and_o of_o other_o natural_a thing_n in_o they_o contain_v the_o other_o definition_n be_v that_o the_o world_n be_v a_o perfect_a body_n and_o most_o perfect_a round_a form_n contain_v the_o ordinance_n and_o distribution_n of_o body_n create_v by_o god_n to_o tend_v unto_o a_o purpose_n which_o by_o god_n and_o through_o god_n be_v preserve_v the_o part_n or_o region_n of_o the_o world_n be_v two_o as_o the_o ethereal_a and_o elementary_a the_o etherial_a region_n be_v the_o high_a and_o upper_a part_n of_o the_o world_n which_o enclose_v the_o elementary_a region_n be_v whole_o clear_a and_o the_o light_a perfitte_n and_o contain_v the_o orb_n of_o all_o the_o fix_a star_n and_o planet_n distinguish_v by_o a_o certain_a order_n free_a of_o all_o mixture_n and_o all_o strange_a quality_n nor_o harm_v by_o any_o alteration_n in_o which_o the_o celestial_a body_n be_v draw_v about_o by_o certain_a and_o continual_a order_n and_o time_n of_o the_o motion_n that_o they_o may_v so_o cause_v the_o diversity_n of_o time_n day_n year_n and_o month_n and_o as_o well_o in_o the_o elementary_a nature_n by_o his_o motion_n and_o light_n engender_v mix_v and_o temper_v together_o the_o first_o quality_n and_o prepare_v also_o other_o effect_n the_o elementary_a region_n be_v the_o nether_a part_n
the_o hollow_a upper_a face_n of_o the_o moon_n orb_n that_o reach_v unto_o the_o hollow_a upper_a face_n of_o the_o high_a heaven_n be_v most_o pure_a perfitte_a round_n continual_o carry_v about_o and_o bright_a appear_v this_o part_n of_o the_o world_n be_v the_o etherial_a region_n be_v name_v heaven_n which_o always_o draw_v about_o by_o a_o marvelous_a swiftness_n be_v divide_v into_o nine_o orb_n or_o sphere_n although_o sundry_a astronomer_n as_o alphonsus_n johannes_n de_fw-fr monte_fw-fr regio_fw-la purbachius_n and_o other_o have_v add_v a_o ten_o sphere_n through_o the_o three_o contrary_a motion_n find_v in_o the_o eight_o sphere_n name_v of_o thebit_n benchore_n the_o first_o inventor_n of_o the_o same_o motus_fw-la trepidationis_fw-la or_o the_o go_n and_o come_v of_o the_o eight_o sphere_n the_o first_o and_o uppermost_a orb_n be_v name_v the_o first_o mover_n the_o second_o be_v that_o which_o be_v name_v the_o nine_o sphere_n or_o crystalline_a heaven_n but_o of_o 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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 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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 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the_o earth_n albategnius_n affirm_v the_o star_n of_o mercury_n to_o be_v least_o of_o all_o the_o star_n and_o suppose_v or_o account_v he_o to_o be_v as_o one_o part_n of_o 19000._o part_n of_o the_o earth_n the_o high_a ascension_n of_o mercury_n sphere_n be_v from_o the_o earth_n after_o albategnius_n distant_a 166._o semidiametres_fw-fr but_o the_o low_a point_n in_o the_o same_o orb_n be_v 56._o semidiametres_fw-fr distant_a from_o the_o earth_n the_o moon_n be_v low_a of_o all_o the_o planet_n do_v compass_n about_o the_o whole_a zodiac_n in_o 27._o day_n 7._o hour_n 43._o minute_n and_o 7._o second_n she_o be_v lesser_a than_o the_o earth_n after_o the_o judgement_n of_o ptolemy_n by_o three_o hundred_o nine_o time_n and_o a_o unity_n more_o than_o eight_o part_n for_o the_o triple_a proportion_n of_o the_o diametre_fw-la of_o the_o earth_n unto_o the_o moon_n by_o devide_v above_o the_o five_o part_n be_v even_o the_o like_a as_o 27._o unto_o 5._o but_o lesser_a she_o be_v 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be_v here_o rehearse_v by_o a_o similitude_n of_o one_o part_n as_o the_o whole_a the_o similitude_n of_o which_o matter_n conceive_v by_o this_o example_n that_o experience_n daily_o teach_v we_o of_o the_o drop_n of_o water_n which_o although_o they_o be_v small_a yet_o pour_v on_o dry_a woollen_a cloth_n run_v into_o a_o round_a or_o bunch_v form_n which_o without_o doubt_n shall_v not_o be_v cause_v if_o the_o part_n follow_v not_o the_o nature_n of_o the_o whole_a of_o his_o kind_n now_o the_o example_n above_o promise_v do_v here_o appear_v in_o which_o by_o the_o letter_n a._n be_v the_o ship_n mean_v to_o come_v unto_o the_o mark_n c._n in_o which_o be_v in_o the_o point_n a._n that_o be_v in_o the_o bothom_n of_o the_o ship_n can_v see_v the_o mark_n stand_v in_o c._n through_o the_o swell_a of_o the_o water_n but_o he_o which_o be_v in_o the_o top_n of_o the_o mast_n as_o in_o the_o point_n b._n without_o all_o impediment_n may_v see_v the_o say_a mark_n that_o the_o self_n same_o or_o like_a to_o it_o may_v be_v on_o land_n as_o from_o the_o point_n d._n none_o except_o he_o be_v foolish_a or_o stark_a mad_a will_v affirm_v the_o like_a by_o the_o second_o it_o be_v manifest_a that_o the_o water_n by_o nature_n be_v carry_v and_o run_v downward_o and_o stide_v or_o fall_v from_o high_a unto_o low_a place_n so_o long_o until_o it_o have_v fill_v and_o be_v even_o with_o the_o earth_n through_o the_o stay_n of_o high_a heap_n of_o earth_n hill_n or_o such_o like_a mighty_a and_o high_a bank_n enclose_v it_o about_o that_o it_o run_v no_o further_o nor_o make_v no_o hollowness_n in_o the_o middle_n of_o the_o earth_n as_o a_o centre_n of_o the_o earth_n which_o therefore_o gather_v between_o the_o empty_a place_n so_o long_o until_o it_o have_v fill_v and_o be_v even_o with_o the_o earth_n and_o that_o the_o whole_a together_o through_o the_o hollowness_n thus_o make_v equal_a do_v fashion_n and_o keep_v a_o round_a form_n so_o that_o the_o earth_n with_o 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experience_n gainsayth_n and_o deni_v muchlesse_a therefore_o can_v it_o be_v great_a ten_o time_n by_o which_o be_v to_o be_v conclude_v that_o the_o water_n be_v but_o little_a in_o quantity_n in_o respect_n of_o the_o earth_n although_o it_o may_v seem_v very_o big_a be_v up_o to_o the_o edge_n of_o the_o upper_a face_n of_o the_o earth_n and_o if_o the_o water_n have_v be_v more_o big_a than_o the_o earth_n they_o have_v drown_v or_o cover_v the_o whole_a earth_n even_o of_o late_a year_n that_o the_o earth_n employ_v the_o middle_a place_n of_o the_o world_n and_o be_v the_o centre_n of_o the_o whole_a a_o ristarchus_n samius_n which_o be_v 261_o year_n before_o the_o birth_n of_o christ_n take_v the_o earth_n from_o the_o middle_n of_o the_o world_n and_o place_v it_o in_o a_o peculiar_a orb_n include_v within_o marses_n and_o venus_n sphere_n and_o to_o be_v draw_v about_o by_o peculiar_a motion_n about_o the_o sun_n which_o he_o feign_v to_o stand_v in_o the_o middle_a of_o 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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 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be_v so_o much_o the_o more_o increase_v as_o by_o how_o many_o degree_n either_o of_o the_o pole_n be_v near_o to_o the_o earth_n and_o be_v further_o distant_a from_o the_o equatoure_n be_v raise_v and_o carry_v high_a which_o be_v the_o cause_n of_o many_o obscure_a difference_n which_o that_o they_o may_v the_o plain_o be_v express_v and_o understand_v the_o skilful_a practisioner_n have_v divide_v circle_n in_o the_o first_o mover_n by_o line_n draw_v unto_o certain_a star_n or_o prick_v from_o the_o centre_n of_o the_o earth_n and_o draw_v about_o either_o by_o a_o continual_a or_o daily_a motion_n by_o which_o they_o imagine_v they_o to_o be_v describe_v that_o the_o circle_n of_o the_o sphere_n be_v some_o great_a some_o lesser_a and_o the_o number_n of_o the_o circle_n here_o it_o be_v not_o to_o be_v omit_v that_o one_o circle_n be_v great_a than_o another_o by_o four_o mean_n first_o by_o reason_n of_o the_o magnitude_n of_o the_o celestial_a body_n in_o which_o it_o be_v 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same_o to_o be_v of_o 23._o degree_n 52._o minute_n and_o 20._o second_n and_o ptolemy_n note_v that_o he_o find_v it_o to_o be_v just_a much_o mahomates_n aratensir_fw-fr which_o be_v after_o ptolemy_n 749._o year_n find_v this_o declination_n to_o be_v of_o 23._o degree_n and_o 35._o minute_n arzahell_n the_o spaniard_n that_o be_v 190._o year_n after_o albategnius_n find_v it_o to_o be_v of_o 23._o degree_n and_o 34._o minute_n prophatius_fw-la judius_fw-la which_o be_v 230._o year_n after_o arzahell_n find_v this_o declination_n to_o be_v of_o 23._o degree_n and_o â—2_n minute_n dominicus_n maria_n be_v in_o the_o year_n of_o christ_n 1491._o find_v this_o declination_n to_o be_v of_o 23._o degree_n and_o 29._o minute_n vueruerus_n be_v
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 longitude_n either_o it_o be_v right_a blunt_a or_o sharp_a this_o of_o the_o place_n and_o diversity_n of_o the_o angle_n do_v much_o vary_v or_o alter_v the_o reason_n &_o method_n of_o the_o search_n of_o these_o if_o two_o place_n give_v have_v equal_a ark_n of_o the_o latitude_n and_o from_o the_o middle_n or_o half_a of_o the_o equatoure_n be_v alike_o distant_a and_o how_o much_o so_o ever_o the_o angle_n of_o the_o difference_n of_o longitude_n be_v as_o here_o under_o the_o difference_n of_o longitude_n be_v in_o the_o first_o of_o the_o example_n teach_v yet_o be_v the_o arke_n of_o the_o latitude_n agree_v and_o equal_o find_v so_o that_o in_o this_o example_n appear_v no_o difference_n but_o in_o the_o only_a longitude_n of_o the_o place_n offer_v as_o for_o example_n the_o longitude_n of_o dansk_a be_v of_o 39_o degree_n and_o twoe_o scruple_n or_o minute_n the_o latitude_n of_o the_o same_o have_v 54_o degree_n and_o 48._o minute_n the_o longitude_n of_o lubeck_n be_v of_o 28._o degree_n and_o 20._o scruple_n the_o latitude_n have_v 54._o degree_n and_o 48._o scruple_n the_o difference_n of_o longitude_n consist_v of_o 10._o degree_n and_o 42._o minute_n the_o half_a difference_n be_v of_o 5._o degree_n and_o 21._o scruple_n the_o distance_n on_o earth_n between_o dansk_a and_o lubeck_n be_v of_o 92_o german_a mile_n and_o a_o half_a the_o great_a city_n alexandria_n under_o the_o turk_n after_o ptolemy_n have_v the_o longitude_n of_o 122._o degree_n the_o latitude_n of_o the_o same_o be_v of_o 41._o degree_n that_o famous_a toletum_n or_o toledo_n of_o spain_n have_v a_o longitude_n to_o the_o same_o of_o 10._o degree_n the_o latitude_n of_o the_o same_o be_v of_o 41._o degree_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 102._o degree_n the_o half_a difference_n have_v 51._o degree_n the_o complement_n of_o the_o equal_a latitude_n of_o either_o be_v of_o 49._o degree_n the_o whole_a distance_n between_o 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 great_a latitude_n do_v vary_v three_o way_n as_o it_o be_v great_a or_o lesser_a and_o as_o with_o the_o ark_n by_o the_o second_o in_o quisition_n sure_o know_v and_o be_v join_v form_n either_o more_o or_o less_o a_o quarter_n of_o the_o circle_n or_o thus_o that_o the_o angle_n which_o the_o unequal_a compliment_n of_o the_o unequal_a latitude_n include_v be_v sharp_a that_o be_v and_o if_o the_o ark_n of_o the_o latitude_n of_o either_o place_n be_v unequal_a and_o the_o difference_n of_o longitude_n be_v lesser_a than_o the_o quadrant_a as_o in_o this_o example_n more_o plain_a appear_v of_o twoe_o place_n be_v of_o sundry_a longitude_n that_o worthy_a city_n trapezus_n of_o cappadocia_n who_o longitude_n be_v of_o 70._o degree_n and_o 30._o minute_n the_o latitude_n 43._o degree_n and_o 5._o minute_n the_o longitude_n of_o that_o well_o know_a city_n of_o rome_n have_v 39_o degree_n and_o 8._o scruple_n the_o latitude_n 41._o degree_n and_o 8._o minute_n the_o difference_n of_o 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the_o angle_n of_o the_o difference_n of_o longitude_n be_v blunt_a see_v the_o place_n be_v further_a distant_a than_o a_o whole_a quarter_n and_o thereby_o cause_v a_o diverse_a reason_n and_o way_n of_o search_n from_o the_o former_a which_o semblable_o the_o diverse_a quantity_n of_o the_o complement_n of_o the_o great_a latitude_n do_v three_o manner_n of_o way_n vary_v as_o in_o the_o same_o ark_n which_o perfect_o know_v by_o the_o second_o be_v either_o great_a or_o lesser_a the_o example_n of_o this_o appear_v of_o these_o two_o place_n the_o noble_a city_n antiochia_n in_o syria_n which_o be_v after_o call_v seleucia_n have_v the_o longitude_n of_o 106._o degree_n and_o no_o minute_n the_o latitude_n be_v of_o 40._o degree_n and_o 40._o scruple_n the_o other_o of_o toletum_n who_o longitude_n be_v of_o 7._o degree_n and_o 4._o scruple_n the_o latitude_n have_v 37._o degree_n and_o 50._o minute_n the_o difference_n of_o longitude_n be_v of_o 98._o degree_n and_o 56._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 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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 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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 exetrée_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 exetrée_n of_o the_o zodiac_n and_o the_o middle_a circle_n of_o they_o and_o the_o great_a be_v the_o ecclipticke_a these_o also_o do_v the_o same_o star_n and_o the_o verticiall_a or_o top_n point_v of_o each_o place_n or_o any_o other_o apply_v unto_o the_o plain_a of_o the_o equatour_n draw_v as_o it_o be_v by_o the_o first_o mover_n about_o the_o exetrée_n and_o pole_n of_o the_o world_n define_v and_o the_o centre_n of_o these_o be_v in_o the_o exetrée_n of_o the_o world_n or_o equatoure_n but_o the_o middle_n and_o great_a of_o these_o be_v the_o equatour_n it_o be_v manifest_a by_o that_o afore_o teach_v that_o the_o sun_n in_o every_o day_n do_v gain_v towards_o the_o east_n against_o the_o daily_a motion_n one_o degree_n of_o the_o zodiac_n and_o of_o this_o happen_v that_o he_o in_o each_o day_n through_o the_o thwartnesse_n of_o the_o zodiac_n describe_v a_o certain_a new_a circle_n in_o heaven_n and_o in_o the_o next_o day_n another_o and_o so_o forth_o by_o order_n as_o the_o like_a may_v be_v compare_v by_o a_o small_a cord_n wind_v close_o about_o a_o nun_n or_o top_n begin_v from_o the_o foot_n upward_o even_o so_o the_o sun_n beginning_n to_o turn_v again_o at_o the_o first_o degree_n of_o capricorn_n do_v every_o day_n after_o change_v a_o new_a parallel_n until_o he_o become_v back_o unto_o the_o first_o degree_n of_o cancer_n and_o by_o and_o by_o after_o return_v from_o cancer_n he_o in_o the_o like_a order_n go_v unto_o the_o capricorn_n so_o that_o in_o the_o next_o day_n follow_v the_o sun_n rise_v not_o with_o the_o same_o parallel_n above_o the_o horizone_n that_o he_o do_v in_o the_o morning_n before_o nor_o shall_v not_o run_v the_o next_o morrow_n in_o that_o parallel_n that_o he_o do_v in_o this_o day_n and_o each_o of_o these_o parallel_n even_o as_o the_o great_a circle_n contain_v 360._o degree_n which_o be_v so_o much_o lesser_a than_o the_o degree_n of_o the_o great_a circle_n and_o occupy_v or_o comprehend_v somuch_o the_o lesser_a space_n in_o heaven_n as_o answer_v to_o the_o upper_a face_n of_o the_o earth_n as_o by_o how_o much_o the_o more_o from_o the_o compass_n and_o largeness_n of_o the_o great_a circle_n they_o lack_v by_o reason_n of_o the_o distance_n and_o although_o they_o yield_v and_o be_v less_o in_o the_o quantity_n yet_o unto_o the_o degree_n of_o the_o great_a circle_n be_v they_o agreeable_a and_o like_a as_o write_v theodosius_n in_o the_o 14._o proposition_n of_o his_o second_o book_n of_o the_o sphere_n these_o lesser_a circle_n do_v offer_n and_o teach_v sundry_a utility_n first_o the_o parallel_n of_o which_o on_o this_o side_n and_o beyond_o the_o equatour_n be_v 182_o that_o the_o sun_n yearly_a by_o his_o daily_a motion_n describe_v and_o do_v express_v the_o cause_n of_o the_o continual_a equality_n of_o
the_o day_n in_o the_o right_a sphere_n and_o of_o the_o unequalnesse_n in_o the_o thwart_a or_o bow_v sphere_n and_o where_o the_o day_n space_n be_v increase_v and_o lengthen_v there_o the_o night_n space_n be_v lessen_v and_o decrease_v and_o be_v otherwise_o they_o show_v the_o contrary_n in_o the_o second_o the_o parallel_n which_o the_o verticial_a point_n form_n when_o they_o express_v the_o bound_n of_o the_o latitude_n of_o place_n then_o be_v they_o stand_v under_o by_o which_o their_o longitude_n or_o distance_n from_o the_o west_n be_v account_v in_o the_o three_o the_o parallel_n which_o either_o the_o planet_n or_o the_o fix_a star_n describe_v refer_v unto_o the_o equatour_n do_v express_v the_o bound_n of_o their_o drawing_n or_o motion_n from_o the_o equatour_n the_o other_o or_o rest_n which_o apply_v unto_o the_o ecclipticke_a describe_v do_v show_v the_o bound_n of_o the_o latitude_n and_o that_o for_o how_o long_a time_n they_o tarry_v above_o the_o earth_n or_o otherwise_o hide_v within_o the_o earth_n and_o under_o the_o horizone_n do_v either_o show_n in_o the_o four_o the_o great_a and_o chief_a utility_n of_o the_o parallel_n be_v that_o which_o on_o the_o habitable_a earth_n the_o practisioner_n sever_v by_o such_o distance_n as_o by_o how_o much_o y_fw-mi e_fw-es great_a artificial_a day_n be_v by_o a_o quarter_n of_o a_o hour_n long_o increase_v and_o extend_v for_o they_o distinguish_v the_o habitable_a earth_n and_o that_o by_o observation_n into_o certain_a necessary_a space_n and_o do_v iudicate_v the_o regular_a increasing_n of_o the_o day_n and_o what_o be_v common_a to_o each_o dwell_n under_o those_o parallel_n in_o much_o as_o the_o quantity_n the_o increasing_n and_o deminishing_n of_o the_o day_n and_o night_n the_o rise_n and_o setting_n of_o the_o star_n the_o noonstéede_o shadow_n and_o the_o nature_n of_o the_o winter_n and_o summer_n but_o those_o which_o be_v contrary_a as_o that_o there_o be_v a_o difference_n &_o diversity_n of_o the_o dwell_a place_n be_v under_o diverse_a parallel_n they_o indeed_o be_v necessary_a unto_o the_o distribution_n and_o description_n of_o the_o climate_n although_o the_o number_n of_o these_o circle_n be_v so_o infinite_a as_o be_v the_o infinite_a variety_n of_o the_o star_n and_o vertical_a point_n yet_o be_v there_o four_o usual_o rehearse_v in_o these_o element_n or_o introduction_n that_o be_v especial_o note_v and_o describe_v by_o peculiar_a name_n and_o for_o the_o same_o cause_n as_o seem_v to_o i_o in_o that_o they_o divide_v the_o whole_a globe_n of_o heaven_n and_o earth_n into_o five_o zone_n and_o these_o apply_v unto_o the_o plain_a or_o flat_a of_o the_o equatour_n the_o tropic_n of_o cancer_n or_o summer_n tropic_n the_o tropic_n of_o capricorn_n or_o winter_n tropic_n the_o arctic_a or_o northerly_a pole_n the_o antarctic_a or_o southerly_a pole_n which_o circle_n be_v call_v the_o tropicke_n the_o sun_n according_a to_o the_o former_a word_n through_o the_o motion_n of_o the_o first_o mover_n be_v in_o 24_o hour_n draw_v once_o about_o and_o for_o that_o he_o be_v carry_v in_o the_o thwart_a circle_n and_o in_o the_o same_o by_o his_o proper_a motion_n change_v daily_o unto_o other_o place_n of_o the_o zodiac_n it_o must_v needs_o ensue_v that_o he_o describe_v in_o each_o day_n a_o new_a parallel_n and_o those_o do_v the_o sun_n repeat_v in_o the_o part_n of_o the_o zodiac_n which_o be_v equidistant_a from_o the_o solsticiall_a point_n in_o such_o wise_a that_o they_o be_v in_o the_o whole_a 182._o circle_n and_o these_o do_v they_o call_v the_o circle_n of_o the_o natural_a day_n of_o which_o the_o uttermost_a and_o further_a that_o include_v the_o sun_n way_n be_v name_v the_o tropic_n which_o be_v in_o english_a the_o sun_n bound_n in_o that_o the_o sun_n never_o pass_v they_o neither_o towards_o the_o north_n nor_o towards_o the_o south_n but_o after_o his_o touch_v of_o each_o he_o return_v again_o the_o one_o of_o these_o call_v the_o tropic_n of_o cancer_n and_o the_o other_o the_o tropic_n of_o capricorn_n why_o these_o be_v call_v the_o tropicke_n they_o be_v name_v the_o tropic_n of_o the_o greek_a word_n tropikoi_fw-fr which_o be_v in_o english_a the_o turn_n again_o in_o that_o when_o the_o sun_n be_v digress_v from_o the_o equatoure_n and_o come_v unto_o those_o he_o turn_v back_o again_o also_o the_o tropic_n circle_n touch_v the_o zodiac_n at_o the_o beginning_n of_o cancer_n and_o capricorn_n of_o which_o the_o one_o be_v call_v the_o tropic_n of_o cancer_n and_o the_o other_o of_o capricorn_n the_o one_o be_v northerly_a and_o the_o other_o southerly_a and_o as_o to_o our_o dwell_n the_o one_o be_v call_v the_o summer_n circle_n and_o the_o other_o the_o winter_n so_o that_o when_o the_o sun_n touch_v any_o of_o these_o he_o turn_v again_o and_o be_v carry_v towards_o the_o other_o as_o by_o this_o example_n further_o appear_v where_o all_o that_o season_n and_o time_n from_o the_o twelve_o day_n of_o december_n unto_o the_o eleven_o day_n of_o june_n a_o man_n may_v perceive_v the_o sun_n every_o day_n arise_v high_a and_o high_o and_o when_o he_o be_v at_o the_o high_a over_o our_o head_n that_o day_n do_v he_o by_o his_o course_n describe_v the_o summer_n tropic_n from_o which_o again_o turn_v the_o sun_n every_o day_n after_o draw_v low_a and_o low_a from_o our_o vertical_a point_n until_o he_o be_v come_v again_o unto_o the_o low_a in_o which_o twelve_o day_n of_o december_n not_o go_v any_o further_a towards_o the_o south_n but_o be_v come_v unto_o the_o begin_n of_o capricorn_n he_o describe_v the_o winter_n tropic_n the_o tropic_n of_o cancer_n be_v a_o lesser_a circle_n which_o the_o sun_n describe_v at_o the_o enter_v into_o the_o beginning_n thereof_o and_o be_v draw_v by_o the_o daily_a motion_n who_o plain_a or_o flat_o pass_v not_o by_o the_o centre_n of_o the_o earth_n and_o it_o be_v one_o of_o the_o natural_a circle_n which_o be_v outermost_a describe_v of_o the_o sun_n towards_o the_o north_n and_o draw_v by_o the_o begin_n of_o cancer_n and_o it_o have_v also_o his_o name_n of_o the_o stand_n in_o that_o the_o same_o be_v the_o bind_v of_o the_o sun_n journey_n or_o course_n towards_o the_o north_n and_o the_o nigh_a come_v unto_o we_o unto_o which_o be_v bring_v he_o turn_v back_o and_o direct_v his_o course_n into_o the_o south_n of_o which_o that_o place_n be_v call_v trope_n it_o be_v continual_o distant_a from_o the_o equatour_n by_o the_o quantity_n of_o the_o sun_n great_a declination_n which_o at_o this_o day_n be_v of_o 23._o degree_n 28._o minute_n and_o two_o fift_n almost_o and_o it_o enclose_v also_o the_o sun_n way_n and_o do_v beside_o with_o the_o other_o 3._o parallel_n divide_v the_o zone_n of_o heaven_n and_o earth_n further_o this_o be_v name_v the_o circle_n of_o the_o summer_n solstice_n by_o the_o same_o reason_n in_o that_o it_o be_v draw_v by_o the_o point_n of_o the_o summer_n solstice_n and_o the_o northerly_a tropic_n in_o that_o it_o be_v the_o northerly_a part_n of_o the_o world_n and_o the_o summer_n circle_n for_o that_o the_o sun_n in_o the_o summer_n fall_v into_o this_o circle_n also_o this_o circle_n in_o all_o the_o northerly_a tract_n be_v on_o this_o wise_a that_o the_o great_a part_n or_o portion_n be_v above_o the_o horizone_n and_o the_o lesser_a part_n as_o to_o we_o under_o the_o horizon_n so_o that_o the_o sun_n run_v in_o that_o circle_n cause_v the_o long_a day_n of_o summer_n and_o while_o the_o sun_n describe_v these_o circle_n the_o day_n be_v long_o than_o the_o night_n for_o the_o long_a day_n increase_v from_o minute_n to_o minute_n from_o hour_n to_o hour_n and_o from_o the_o latitude_n of_o one_o degree_n unto_o the_o latitude_n of_o 66._o degree_n and_o 30._o minute_n in_o which_o the_o day_n artificial_a be_v of_o 24._o hour_n and_o be_v thereof_o call_v a_o whole_a day_n for_o in_o the_o latitude_n follow_v and_o beyond_o he_o increase_v into_o many_o whole_a day_n a_o like_a definition_n have_v proelus_fw-la where_o he_o write_v that_o the_o summer_n tropic_n be_v the_o further_a circle_n northward_o that_o the_o sun_n describe_v into_o which_o when_o the_o sun_n be_v come_v he_o than_o make_v his_o summer_n turn_v and_o cause_v also_o at_o that_o time_n the_o long_a day_n and_o short_a night_n of_o the_o year_n from_o which_o turn_v back_o he_o go_v again_o towards_o the_o contrary_a coast_n of_o the_o world_n so_o that_o of_o the_o same_o proclus_n it_o be_v call_v a_o tropic_n which_o be_v in_o english_a a_o return_a circle_n for_o it_o be_v evident_a to_o all_o man_n that_o after_o the_o sun_n begin_v to_o turn_v he_o may_v in_o short_a time_n after_o or_o at_o the_o least_o within_o 5._o day_n
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and_o f_o g._n be_v the_o latitude_n of_o the_o temperate_a zone_n in_o heaven_n and_o s_o t_o a_o c_o r_o q._n of_o they_o on_o earth_n the_o twoe_o outward_a zone_n to_o these_o here_o draw_v be_v by_o themselves_o note_v as_o well_o in_o heaven_n as_o on_o earth_n now_o that_o we_o have_v declare_v with_o the_o five_o circle_n the_o latitude_n either_o of_o the_o celestial_a or_o terestriall_a zone_n be_v define_v it_o shall_v therefore_o be_v necessary_a to_o write_v here_o of_o the_o latitude_n of_o the_o earthly_a zone_n in_o mile_n and_o that_o you_o may_v ready_o find_v the_o latitude_n in_o mile_n multiply_v the_o degree_n by_o 15._o in_o that_o so_o many_o german_a mile_n answer_v to_o one_o degree_n of_o the_o great_a circle_n in_o heaven_n as_o the_o 43._o degree_n of_o the_o burn_a zone_n be_v the_o sun_n great_a declination_n multiply_v by_o the_o 15._o mile_n do_v produce_v 705._o german_a mile_n which_o be_v the_o latitude_n of_o the_o burn_a zone_n the_o latitude_n 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noonstéed_n be_v as_o in_o the_o summer_n to_o cast_v or_o stretch_n down_o almost_o perpendicular_a or_o down_o right_a beam_n which_o beam_n also_o be_v almost_o reflect_v into_o themselves_o of_o which_o the_o great_a heat_n of_o the_o day_n than_o be_v cause_v and_o contrariwise_o the_o sun_n be_v in_o the_o east_n or_o west_n where_o you_o e_z beam_n streach_v downward_o and_o reflex_v be_v scatter_v and_o run_v abroad_o the_o effect_n be_v lesser_a and_o the_o heat_n much_o abate_v and_o feeble_a even_o so_o the_o beam_n in_o the_o burn_a zone_n be_v perpendicular_a or_o plum_n downright_a which_o reflex_v into_o themselves_o do_v cause_v a_o most_o great_a heat_n in_o the_o temperate_a zone_n do_v the_o beam_n bylitle_o and_o little_o fall_v sloper_n and_o sloper_n of_o which_o they_o cause_v there_o a_o temperate_a heat_n but_o in_o the_o cold_a zone_n the_o beam_n further_a decline_v or_o fall_v slope_v through_o which_o they_o procure_v no_o effect_n &_o of_o the_o 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the_o nature_n of_o the_o foresay_a matter_n it_o please_v the_o ancient_a to_o divide_v they_o into_o five_o zone_n of_o which_o it_o be_v well_o know_v that_o the_o body_n of_o man_n or_o people_n dwell_v under_o the_o burn_a zone_n as_o the_o moor_n be_v short_a of_o stature_n they_o those_o people_n dwell_v under_o the_o temperate_a zone_n wild_a and_o cruel_a also_o they_o be_v crafty_a and_o subtle_a of_o nature_n have_v beside_o wrinkle_a face_n thick_a crisp_a hair_n on_o the_o head_n and_o black_a scorch_a body_n and_o crooked_a of_o stature_n also_o all_o live_n and_o cresent_a thing_n be_v find_v to_o agree_v according_a to_o the_o quality_n of_o the_o air_n in_o that_o region_n further_o the_o people_n dwell_v under_o the_o northerly_a parallel_n or_o polare_fw-la circle_n
where_o the_o place_n bind_v of_o cold_a and_o moisture_n be_v white_a of_o body_n have_v long_o hear_v on_o the_o head_n tall_a and_o comely_a of_o stature_n and_o personage_n cold_a of_o quality_n yet_o in_o manner_n or_o condition_n wild_a and_o cruel_a through_o the_o force_n of_o the_o cold_a in_o those_o place_n and_o agree_v with_o these_o be_v the_o greatness_n of_o the_o winter_n and_o the_o greatness_n of_o fierce_a and_o cruel_a beast_n and_o other_o live_a thing_n there_o breed_v with_o a_o furious_a people_n inhabit_v call_v general_o the_o scythian_n last_o those_o dwell_n under_o the_o temperate_a zone_n be_v a_o gentle_a and_o civil_a people_n be_v some_o tawny_a especial_o towards_o the_o south_n and_o other_o towards_o the_o north_n reasonable_a white_a of_o skin_n and_o body_n be_v mean_a of_o stature_n and_o temperate_a in_o nature_n and_o quality_n and_o of_o the_o same_o like_a in_o condition_n and_o behaviuor_fw-la etc._n etc._n and_o thus_o much_o for_o the_o second_o part_n of_o this_o treatise_n finis_fw-la the_o table_n of_o all_o the_o special_a and_o several_a point_n handle_v in_o this_o book_n of_o the_o rudiment_n of_o the_o sphere_n of_o heaven_n of_o the_o star_n of_o the_o orb_n of_o the_o star_n and_o of_o the_o earth_n folio_n 1_o what_o a_o sphere_n be_v 2_o what_o the_o world_n be_v and_o into_o how_o many_o part_n the_o same_o be_v divide_v with_o the_o motion_n of_o the_o celestial_a orbs._n 8_o what_o the_o star_n be_v and_o that_o as_o to_o the_o motion_n of_o their_o orb_n they_o be_v carry_v about_o 11_o that_o heaven_n be_v draw_v round_o 13_o that_o there_o be_v but_o eight_o celestial_a orb_n that_o may_v be_v see_v 14_o a_o general_a figure_n declare_v the_o number_n disposition_n and_o order_n of_o the_o celestial_a sphere_n about_o the_o globe_n of_o the_o earth_n 16_o that_o there_o be_v two_o first_o motion_n of_o the_o celestial_a orbs._n 17_o that_o there_o be_v two_o kind_n of_o star_n the_o fix_a and_o the_o planet_n 19_o of_o the_o celestial_a image_n and_o of_o their_o diverse_a name_n be_v in_o number_n 48._o 21_o the_o 12._o sign_n of_o the_o zodiac_n 22_o of_o the_o southerly_a 23_o of_o the_o planet_n 25_o that_o heaven_n have_v a_o round_a form_n and_o be_v carry_v circular_o 29_o that_o the_o water_n and_o earth_n be_v round_a body_n and_o by_o a_o mutual_a embrace_v do_v make_v one_o body_n and_o one_o hollow_a upper_a face_n 31_o a_o instrument_n by_o which_o the_o roundness_n of_o the_o earth_n according_a to_o latitude_n may_v be_v prove_v and_o all_o those_o may_v easy_o be_v show_v which_o be_v teach_v of_o the_o day_n artificial_a 33_o that_o the_o water_n have_v a_o like_a swell_n and_o run_v round_o 36_o that_o the_o earth_n emploi_v the_o middle_a place_n of_o the_o world_n and_o be_v the_o centre_n of_o the_o whole_a 42_o if_o the_o earth_n be_v not_o in_o the_o middle_n of_o the_o world_n then_o of_o necessity_n it_o must_v possess_v some_o of_o the_o stand_n describe_v in_o the_o figure_n there_o demonstrate_v 46_o that_o the_o earth_n abide_v fix_v and_o unmoveable_a in_o the_o middle_n of_o the_o world_n 49_o the_o physic_n reason_n 50_o that_o the_o earth_n compare_v unto_o heaven_n be_v as_o a_o point_n 52_o to_o find_v the_o compass_n of_o the_o earth_n and_o by_o it_o the_o dyameter_n 55_o the_o second_o part._n what_o the_o sum_n of_o the_o second_o part_n be_v 59_o that_o the_o sphere_n of_o the_o world_n be_v either_o right_a or_o thwart_v 90_o that_o the_o circle_n of_o the_o sphere_n be_v some_o great_a some_o less_o with_o the_o number_n of_o the_o circle_n 92_o the_o description_n name_n and_o utility_n of_o the_o equinoctial_a 62_o that_o this_o worthy_a circle_n have_v diverse_a name_n 71_o what_o be_v the_o office_n of_o the_o equinoctial_a 73_o what_o be_v the_o northerly_a image_n in_o respect_n of_o the_o equinoctial_a 78_o the_o description_n name_n and_o office_n of_o the_o zodiac_n and_o ecclipticke_a line_n or_o way_n of_o the_o sun_n 98_o what_o be_v the_o name_n of_o this_o circle_n 100_o what_o be_v the_o cause_n of_o the_o thwartnesse_n of_o the_o zodiac_n 109_o of_o the_o ecclipticke_a line_n or_o way_n of_o the_o sun_n 113_o what_o the_o latitude_n of_o a_o planet_n be_v after_o two_o destinction_n 115_o what_o be_v the_o longitude_n of_o a_o star_n &_o where_o he_o begin_v 116_o what_o be_v the_o use_n and_o utility_n of_o the_o zodiac_n and_o ecclipticke_a 124_o the_o description_n name_n and_o office_n of_o the_o colour_n 125_o what_o the_o office_n and_o utility_n of_o the_o colour_n be_v 133_o the_o description_n name_n and_o office_n of_o the_o meridian_n circle_n and_o horizon_n 135_o what_o be_v the_o office_n and_o utility_n of_o the_o meridian_n 144_o a_o table_n of_o the_o sun_n declaration_n etc._n etc._n 155_o the_o common_a way_n of_o measure_v of_o place_n with_o their_o space_n by_o the_o rule_n of_o longitude_n and_o latitude_n 167_o what_o be_v to_o be_v do_v if_o place_n differ_v in_o the_o longitude_n 169_o other_o brief_a example_n 171_o the_o find_v of_o the_o distance_n of_o place_n or_o city_n in_o a_o more_o easy_a manner_n 173_o the_o first_o rule_n 174_o a_o example_n 175_o another_o ibid_fw-la another_o ibid_fw-la another_o 179_o another_o ibid_fw-la another_o ibid_fw-la another_o 177_o the_o second_o rule_n ibid_fw-la another_o excellent_a table_n etc._n etc._n 178_o a_o example_n of_o the_o use_n of_o this_o table_n 179_o the_o second_o rule_n 180_o a_o example_n ibid_fw-la another_o 183_o another_o ibid_fw-la another_o 184_o another_o ibid_fw-la a_o easy_a work_n ibid_fw-la a_o example_n 185_o another_o ibid_fw-la another_o 186_o if_o of_o two_o place_n etc._n etc._n ibid._n a_o three_o rule_n 190_o a_o example_n of_o the_o three_o rule_n ibid._n another_o 193_o another_o 124_o another_o 196_o a_o easy_a work_n and_o less_o curious_a 197_o a_o example_n 198_o another_o ibid_fw-la another_o 199_o another_o ibid_fw-la a_o demonstration_n of_o the_o three_o rule_n 200_o the_o declaration_n of_o the_o first_o rule_n 201_o the_o declaration_n of_o the_o second_o rule_n ibid._n the_o declaration_n of_o the_o three_o rule_n 202_o the_o definition_n appellation_n division_n and_o office_n or_o utility_n of_o the_o horizon_n 204_o the_o appellation_n and_o diverse_a name_n of_o the_o horizon_n 205_o the_o office_n or_o utility_n of_o the_o horizon_n 215_o of_o the_o vertical_a circle_n 217_o the_o circle_n of_o the_o altitude_n 219_o the_o hour_n circle_n 221_o the_o circle_n devide_v the_o twelve_o house_n of_o heaven_n 226_o the_o circle_n of_o position_n 230_o the_o definition_n name_n and_o utility_n of_o the_o four_o lesser_a circle_n 231_o which_o circle_n be_v call_v the_o tropic_n 235_o why_o they_o be_v call_v tropic_n ibid._n the_o office_n or_o utility_n of_o the_o four_o lesser_a circle_n 245_o the_o description_n name_n quality_n etc._n etc._n 247_o what_o the_o longitude_n &_o latitude_n of_o the_o celestial_a zone_n be_v 261_o what_o be_v the_o longitude_n and_o latitude_n of_o the_o earthly_a zone_n 263_o where_o the_o beginning_n and_o end_n of_o every_o zone_n according_a to_o latitude_n and_o which_o place_n be_v in_o which_o zone_n 264_o how_o the_o zone_n and_o climate_n do_v differ_v 267_o what_o be_v the_o quality_n of_o the_o zone_n ibid_fw-la what_o be_v the_o utility_n of_o the_o zone_n 268_o finis_fw-la
stand_n first_o the_o earth_n be_v place_v without_o the_o be_v tree_n of_o the_o world_n yet_o in_o such_o sort_n that_o it_o be_v equal_o distant_a from_o either_o pole_n that_o be_v that_o the_o equinoctial_a may_v be_v in_o the_o plain_a upper_a face_n as_o in_o the_o letter_n d._n appear_v second_o that_o it_o be_v stand_v on_o the_o exetrée_n of_o the_o world_n yet_o without_o the_o plain_a upper_a face_n of_o the_o equinoctial_a that_o be_v that_o it_o be_v near_o to_o either_o of_o the_o pole_n as_o in_o the_o point_n b._n or_o g._n three_o that_o it_o be_v neither_o stand_v in_o the_o exetrée_n of_o the_o world_n nor_o in_o the_o plain_a of_o the_o equinoctial_a as_o in_o the_o point_n a._n c._n f._n e._n the_o first_o stand_v be_v grant_v these_o absurdity_n shall_v then_o ensue_v through_o the_o diverse_a place_n in_o diverse_a and_o sundry_a place_n of_o the_o plain_n equatoure_n 1_o in_o the_o right_a sphere_n shall_v never_o the_o equinoctium_n or_o a_o like_a day_n and_o night_n be_v cause_v in_o that_o the_o horrizont_n shall_v never_o cut_v or_o part_v the_o equinoctial_a into_o two_o equal_a half_n 2_o in_o the_o thwart_a sphere_n shall_v no_o equinoctial_a bee_n and_o somewhere_o again_o shall_v the_o equinoctial_a be_v but_o not_o in_o the_o middle_a parallel_n between_o the_o two_o tropicke_n that_o be_v it_o shall_v not_o happen_v the_o sun_n be_v in_o the_o equinoctial_a but_o in_o a_o other_o lesser_a parallel_n circle_n be_v near_a to_o either_o tropic_n point_n 3_o the_o time_n from_o the_o rise_n unto_o the_o noon_n tide_n shall_v not_o be_v equal_a to_o the_o time_n from_o the_o noon_n tie_v unto_o the_o set_n of_o the_o sun_n 4_o the_o magnitude_n and_o space_n between_o the_o fix_a star_n both_o in_o the_o east_n and_o west_n shall_v not_o be_v see_v equal_a or_o a_o like_a in_o the_o second_o stand_v if_o that_o the_o earth_n shall_v be_v place_v on_o the_o exetrée_n and_o not_o in_o the_o middle_a of_o the_o world_n then_o shall_v these_o absurdity_n ensue_v in_o every_o climate_n the_o plain_n of_o the_o horrizont_n shall_v cut_v heaven_n into_o two_o unequal_a half_n except_o those_o place_n have_v the_o right_a sphere_n yea_o and_o the_o zodiac_n shall_v be_v divide_v into_o two_o unequal_a ark_n so_o that_o there_o shall_v be_v somewhere_o more_o and_o somewhere_o less_o than_o six_o sign_n of_o the_o zodiac_n see_v above_o the_o horrizont_n which_o be_v contrary_a to_o all_o experience_n 2_o the_o equinoctial_a shadow_n both_o of_o the_o rise_n and_o set_v of_o the_o sun_n shall_v not_o agree_v in_o such_o sort_n that_o they_o may_v fall_v in_o right_a line_n neither_o the_o shadow_n of_o the_o rise_n of_o the_o sun_n in_o the_o solstitial_a or_o long_a day_n shall_v make_v or_o stretch_v in_o right_a line_n with_o the_o shadow_n of_o the_o sun_n set_v in_o the_o brumal_a or_o short_a day_n et_fw-la econuerso_fw-la in_o the_o three_o stand_v if_o neither_o it_o shall_v be_v on_o the_o exetrée_n of_o the_o world_n stand_v nor_o in_o the_o plain_a of_o the_o equatour_n then_o shall_v the_o same_o absurdity_n ensue_v which_o be_v utter_v in_o the_o two_o former_a to_o conclude_v wheresoever_o the_o earth_n be_v general_o place_v without_o the_o middle_a of_o the_o world_n there_o be_v the_o reason_n of_o the_o day_n equal_a increase_n &_o decrease_v in_o the_o thwart_a sphere_n confound_v and_o there_o shall_v either_o no_o equinoctial_o at_o all_o be_v cause_v when_o the_o sun_n occupi_v the_o middle_a way_n between_o either_o tropic_n nor_o the_o moon_n always_o shadow_v the_o sun_n light_n although_o she_o come_v right_a against_o the_o body_n of_o the_o sun_n and_o the_o earth_n not_o stand_v in_o the_o middle_a of_o the_o world_n shall_v not_o shed_v or_o stretch_v his_o shadow_n to_o the_o moon_n so_o that_o all_o these_o absurdity_n and_o vain_a argument_n do_v grant_v that_o the_o earth_n can_v be_v in_o any_o other_o place_n then_o stand_v in_o the_o middle_n of_o the_o world_n that_o the_o earth_n abide_v fix_v and_o unmoveable_a in_o the_o middle_a of_o the_o world_n that_o neither_o the_o earth_n in_o right_a nor_o cyrculare_a motion_n be_v draw_v about_o the_o exe_n tree_n of_o the_o world_n nor_o about_o any_o other_o exetrée_n but_o to_o rest_v and_o stay_v in_o the_o middle_a of_o the_o world_n both_o holy_a scripture_n confirm_v and_o physic_n reason_n prove_v for_o the_o psalm_n say_v which_o establish_v the_o earth_n upon_o his_o foundation_n that_o it_o shall_v never_o be_v move_v and_o ecclesiastes_n in_o the_o first_o chapter_n say_v that_o the_o earth_n stand_v for_o ever_o and_o the_o sun_n both_o rise_v set_v and_o go_v about_o unto_o the_o place_n where_o he_o arise_v also_o that_o the_o sun_n be_v draw_v about_o the_o psalm_n do_v manifest_o witness_v where_o it_o be_v say_v that_o for_o the_o sun_n he_o have_v place_v a_o tabernacle_n in_o they_o and_o he_o as_o a_o bridegroom_n go_v forth_o of_o his_o chamber_n do_v rejoice_v as_o a_o giant_n to_o run_v his_o course_n which_o go_v forth_o from_o the_o uttermost_a bind_v of_o heaven_n and_o return_v about_o unto_o the_o end_n of_o it_o again_o also_o it_o be_v know_v and_o number_v among_o miracle_n that_o god_n will_v have_v the_o sun_n to_o continue_v the_o physic_n reason_n be_v these_o that_o of_o one_o simple_a body_n be_v only_o one_o simple_a motion_n that_o the_o earth_n be_v a_o simple_a body_n therefore_o thereunto_o agree_v but_o one_o simple_a motion_n but_o of_o the_o simple_a motion_n i_o have_v before_o teach_v that_o the_o one_o be_v in_o right_a manner_n and_o the_o other_o in_o cyrculare_a form_n that_o the_o right_a motion_n seek_v downward_o unto_o the_o middle_a whether_o be_v carry_v they_o settle_v and_o rest_v therefore_o be_v the_o motion_n of_o the_o earth_n not_o cyrculare_a about_o by_o the_o second_o appear_v that_o every_o grave_n or_o heavy_a matter_n by_o nature_n be_v through_o his_o weight_n carry_v after_o a_o most_o straight_a 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