Selected quad for the lemma: heaven_n

Word A Word B Word C Word D Occurrence Frequency Band MI MI Band Prominent
heaven_n call_v earth_n place_n 5,810 5 4.3242 3 true
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ID Title Author Corrected Date of Publication (TCP Date of Publication) STC Words Pages
A03380 The schoole of skil containing two bookes: the first, of the sphere, of heauen, of the starres, of their orbes, and of the earth, &c. The second, of the sphericall elements, of the celestiall circles, and of their vses, &c. Orderly set forth according to art, with apt figures and proportions in their proper places, by Tho. Hill. Hill, Thomas, b. ca. 1528.; Jaggard, William, 1569-1623. 1599 (1599) STC 13502; ESTC S104125 144,541 253

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the_o plain_a of_o the_o same_o the_o description_n name_n and_o office_n of_o the_o meridiane_a circle_n and_o horizont_a the_o four_o great_a circle_n which_o we_o have_v already_o describe_v that_o with_o the_o motion_n of_o the_o sphere_n be_v draw_v about_o and_o every_o where_o be_v alike_o which_o the_o other_o twoe_o circle_n be_v contrary_a as_o the_o meridiane_n and_o horizont_n that_o be_v not_o turn_v in_o the_o draw_v about_o of_o the_o sphere_n but_o remain_v as_o immovable_a and_o fix_v neither_o be_v they_o alike_o in_o all_o place_n but_o be_v continual_o change_v stand_v or_o place_v on_o the_o earth_n in_o that_o all_o place_n have_v their_o proper_a meridians_fw-la and_o horizont_v for_o both_o by_o a_o mutual_a touch_v and_o join_v together_o do_v make_v right_a angle_n and_o they_o continual_o divide_v the_o whole_a heaven_n into_o four_o equal_a part_n and_o make_v the_o four_o angle_n and_o quarter_n of_o heaven_n unto_o which_o by_o a_o continual_a turn_n about_o of_o heaven_n both_o the_o one_o and_o the_o other_o star_n as_o it_o be_v by_o a_o orderly_a succession_n draw_v work_n and_o send_v forth_o their_o virtue_n more_o effectuous_a and_o excercise_n their_o quality_n in_o the_o element_n then_o in_o any_o other_o place_n especial_o the_o sun_n be_v draw_v unto_o those_o bond_n for_o he_o both_o begin_v and_o end_v the_o day_n and_o night_n and_o distinguish_v they_o equal_o as_o it_o be_v in_o the_o middle_a parcel_n of_o time_n the_o sun_n also_o come_v unto_o the_o meridian_n do_v then_o more_o heat_n dry_v up_o and_o consume_v vapour_n the_o meridiane_a of_o any_o place_n be_v a_o great_a circle_n which_o go_v or_o reach_v by_o the_o pole_n of_o the_o world_n and_o height_n of_o any_o place_n and_o for_o that_o it_o pass_v by_o the_o pole_n of_o the_o equatour_n parallel_n and_o the_o horizont_n through_o the_o same_o do_v it_o make_v right_a angle_n with_o they_o and_o of_o this_o it_o devide_v all_o the_o ark_n of_o the_o parallel_n as_o well_o in_o sight_n as_o not_o in_o sight_n into_o two_o equal_a half_n this_o circle_n have_v sundry_a name_n for_o varro_n name_v it_o the_o meridian_n or_o midday_n circle_n of_o the_o noonestéed_n in_o that_o when_o the_o sun_n be_v in_o the_o meridian_n or_o any_o other_o star_n above_o the_o earth_n then_o have_v it_o perform_v half_o the_o day_n ark_n and_o be_v then_o at_o the_o bind_v of_o the_o noon_n time_n but_o the_o other_o half_n of_o the_o night_n be_v cause_v at_o the_o instant_a point_n of_o midnight_n the_o half_a then_o reach_v from_o east_n and_o west_n so_o that_o of_o the_o same_o this_o circle_n of_o all_o writer_n in_o this_o science_n name_v the_o meridiane_n but_o of_o ptolemy_n the_o circle_n of_o midday_n and_o middle_a heaven_n by_o the_o same_o reason_n the_o astrologian_n call_v this_o circle_n the_o royal_a cusp_n the_o regal_a quarter_n the_o beginning_n of_o the_o ten_o house_n and_o the_o middle_n of_o heaven_n in_o that_o this_o place_n be_v principal_a and_o of_o worthy_a dignity_n than_o the_o other_o quarter_n of_o which_o shall_v further_o be_v write_v in_o his_o proper_a place_n further_o it_o behove_v by_o the_o addition_n 31._o primi_fw-la theodosij_n that_o the_o equat●ure_n and_o horizont_a in_o the_o contrary_a manner_n to_o pass_v by_o the_o pole_n of_o the_o meridian_n &_o of_o the_o same_o that_o those_o pole_n be_v none_o otherwise_o place_v than_o in_o the_o common_a section_n of_o the_o equatour_n and_o horizont_n by_o which_o section_n &_o by_o those_o pole_n of_o the_o horizont_n be_v a_o certain_a third_o circle_n great_a draw_v which_o johannes_n a_o regio_n monte_fw-fr name_v the_o verticial_a circle_n so_o that_o by_o the_o foresay_a corolary_n or_o addition_n ensue_v that_o of_o these_o three_o circle_n of_o each_o exetrée_n and_o pole_n be_v they_o in_o that_o common_a section_n of_o the_o other_o two_o circle_n like_o as_o of_o the_o equinoctial_a and_o two_o colour_n by_o right_n may_v be_v conclude_v so_o that_o a_o triple_a division_n be_v cause_v by_o the_o three_o circle_n which_o appear_v on_o this_o wise_a that_o as_o the_o meridian_n tend_v by_o our_o top_n and_o height_n from_o the_o south_n into_o the_o north_n even_o so_o by_o the_o same_o top_n it_o behove_v the_o other_o circle_n to_o be_v draw_v and_o pass_v from_o the_o east_n into_o the_o west_n that_o both_o cut_v one_o the_o other_o at_o right_a angle_n shall_v express_v the_o four_o foresay_a quarter_n of_o the_o world_n as_o the_o horizont_n distinguish_v the_o upper_a half_a sphere_n from_o the_o nether_a and_o the_o meridiane_n from_o the_o east_n to_o the_o west_n even_o so_o it_o fall_v out_o that_o the_o third_o circle_n as_o that_o verticiall_a shall_v separate_v the_o northerly_a from_o the_o southerly_a half_a sphere_n to_o these_o while_o any_o stand_v upright_o towards_o the_o welt_n on_o such_o manner_n that_o you_o ●_o middle_n of_o his_o body_n be_v in_o the_o common_a centre_n of_o three_o circle_n then_o do_v the_o horizont_n divide_v his_o upper_a half_n from_o the_o nether_a and_o the_o meridiane_a the_o fore_a part_n from_o the_o hinder_a and_o the_o vertical_a circle_n the_o right_a part_n from_o the_o left_a the_o three_o common_a section_n of_o these_o circle_n be_v their_o exe-trée_n as_o be_v afore_o write_v do_v indicate_v or_o show_v the_o four_o principal_a point_n of_o heaven_n which_o be_v the_o fix_v pole_n of_o the_o circle_n place_v in_o the_o section_n of_o the_o cyrcumference_n as_o the_o high_a or_o low_a point_n which_o be_v the_o pole_n of_o the_o horizont_a the_o point_n also_o most_o easterly_a and_o westerly_a which_o be_v the_o pole_n of_o the_o meridiane_a to_o conclude_v the_o point_n most_o northerly_a and_o southerly_a which_o be_v the_o pole_n of_o the_o verticiall_a circle_n those_o people_n that_o seem_v to_o have_v their_o foot_n against_o we_o in_o respect_n of_o the_o roundness_n of_o the_o earth_n that_o they_o dwell_v as_o it_o be_v under_o we_o have_v alike_o horizont_a agreeable_a to_o we_o alike_o meridian_n and_o alike_o verticial_a circle_n but_o of_o these_o two_o the_o half_a circle_n which_o be_v extant_a to_o we_o be_v hide_v or_o as_o it_o be_v under_o they_o contrariwise_o those_o which_o be_v hide_v to_o we_o be_v to_o they_o extaunt_a the_o point_n also_o high_v to_o we_o be_v low_a to_o they_o contrariwise_o the_o low_a to_o we_o be_v high_a to_o they_o the_o figure_n afore_o place_v do_v plain_a express_v that_o afore_o teach_v where_o the_o letter_n a._n b._n c._n d._n represent_v the_o meridiane_a the_o letter_n b._n e._n d._n f._n the_o horizont_a the_o letter_n f._n a._n e._n c._n the_o vertical_a circle_n the_o letter_n g._n the_o centre_n of_o the_o circle_n and_o world_n the_o letter_n a._n c._n the_o exetrée_n of_o the_o horizont_n the_o letter_n b._n d._n the_o exetrée_n of_o the_o verticiall_a circle_n the_o letter_n e._n f._n the_o exetrée_n of_o the_o meridian_n to_o conclude_v the_o point_n that_o to_o we_o be_v most_o easterly_a be_v to_o they_o most_o westerly_a et_fw-la è_fw-la contrario_fw-la for_o the_o point_n most_o northerly_a and_o southerly_a do_v not_o change_v the_o surname_n except_o you_o listen_v to_o change_v or_o alter_v the_o name_n like_v as_o of_o the_o pole_n of_o the_o world_n for_o that_o which_o be_v to_o we_o apparent_a be_v to_o they_o hide_v and_o contrariwise_o to_o we_o hide_v to_o they_o manifest_v here_o may_v be_v demand_v whether_o that_o point_n of_o heaven_n most_o northerly_a be_v not_o the_o northerly_a pole_n of_o the_o world_n and_o that_o point_v most_o southerly_a the_o southerly_a pole_n of_o the_o world_n to_o which_o be_v thus_o answer_v that_o if_o regard_v be_v have_v unto_o the_o equatoure_n and_o right_a horizont_n which_o pass_v by_o the_o pole_n of_o the_o world_n and_o have_v the_o equatour_n for_o the_o verticiall_a or_o in_o steed_n of_o the_o verticiall_a circle_n but_o we_o which_o have_v not_o the_o pole_n of_o the_o world_n in_o the_o horizont_n in_o who_o cyrcumference_n these_o four_o principal_a point_n of_o the_o east_n west_n north_n and_o south_n be_v accustom_v to_o be_v note_v be_v force_v to_o call_v that_o northerly_a section_n of_o the_o meridiane_a and_o horizont_a the_o most_o northerly_a point_n and_o that_o section_n right_a against_o the_o most_o southerly_a point_n for_o in_o every_o place_n there_o be_v two_o section_n which_o the_o meridiane_n and_o verticiall_a circle_n do_v make_v with_o the_o horizont_n which_o be_v two_o right_a section_n in_o the_o plain_a of_o that_o horizont_n cut_v at_o right_n angle_v one_o a_o other_o in_o the_o centre_n that_o express_a and_o show_v those_o four_o quarter_n of_o the_o world_n from_o which_o the_o principal_a wind_n blow_v as_o east_n west_n
north_n and_o south_n so_o that_o the_o foresay_a right_a section_n do_v part_v the_o horizont_n and_o cyrcumference_n of_o the_o same_o into_o four_o quarter_n the_o four_o principal_a wind_n of_o the_o common_a sort_n be_v thus_o call_v that_o which_o blow_v from_o the_o east_n the_o levant_n wind_n and_o that_o right_a against_o it_o the_o ponent_fw-la that_o from_o the_o north_n transmontanus_n and_o that_o right_a against_o it_o the_o meridional_a these_o four_o of_o late_a year_n they_o have_v divide_v into_o 32._o wind_n after_o the_o note_a line_n and_o point_n draw_v in_o the_o sailor_n card_n and_o other_o map_n every_o where_o to_o be_v see_v also_o the_o sailor_n compass_n do_v express_v so_o many_o wind_n direct_v by_o the_o adamant_n or_o lodestone_n which_o how_o the_o same_o do_v direct_a and_o show_v the_o wind_n need_v not_o here_o be_v show_v see_v the_o same_o be_v sufficient_o know_v to_o every_o sailor_n which_o by_o the_o guide_n of_o their_o compass_n direct_v their_o course_n in_o cloudy_a weather_n either_o by_o day_n or_o night_n in_o mark_v diligent_o the_o point_n of_o the_o compass_n how_o they_o coast_n to_o return_v unto_o the_o matter_n of_o the_o meridiane_a the_o diversity_n of_o meridianes_n be_v no_o otherwise_o cause_v than_o the_o swell_a of_o the_o earth_n as_o in_o the_o first_o part_n i_o have_v sufficient_o write_v the_o cause_n of_o which_o be_v that_o one_o like_o part_n of_o heaven_n can_v be_v the_o top_n or_o height_n of_o every_o place_n therefore_o one_o meridiane_n can_v serve_v all_o place_n but_o that_o in_o all_o place_n a_o proper_a meridiane_a be_v cause_v over_o the_o head_n the_o meridiane_n also_o be_v that_o which_o when_o the_o sun_n come_v unto_o the_o high_a over_o we_o foreshow_v by_o his_o work_n and_o heat_n the_o midday_n this_o meridiane_n be_v a_o great_a circle_n passing_z by_z y_z ●_o pole_n of_o the_o world_n and_o zenith_n or_o a_o direct_a point_n over_o the_o head_n abide_v immovable_a at_o the_o motion_n of_o the_o sphere_n this_o circle_n be_v differ_v to_o every_o city_n and_o people_n by_o reason_n of_o the_o east_n and_o west_n and_o be_v a_o proper_a meridiane_fw-la cause_v over_o the_o head_n for_o this_o be_v manifest_a that_o at_o the_o change_v of_o the_o verticiall_a point_n there_o be_v cause_v a_o other_o meridian_n through_o the_o swell_a and_o roundness_n of_o the_o earth_n also_o a_o man_n may_v of_o one_o meridian_n line_n describe_v many_o as_o write_v johannes_n a_o regio_fw-la monte_fw-fr for_o in_o that_o instant_n of_o the_o noonetide_n by_o let_v down_o right_a a_o plum_n line_n the_o shadow_n of_o the_o line_n cause_v a_o new_a meridiane_a line_n on_o the_o platform_n therefore_o these_o with_o the_o verticiall_a line_n in_o the_o the_o centre_n to_o the_o horizont_n cross_v one_o a_o other_o at_o right_a angle_n do_v indicate_v the_o four_o quarter_n of_o the_o world_n as_o the_o meridian_n line_n the_o north_n and_o south_n the_o verticial_a line_n the_o east_n and_o west_n the_o horizont_n form_v the_o quarter_n of_o the_o east_n and_o west_n of_o which_o the_o one_o be_v call_v the_o east_n rise_v or_o easterly_a quarter_n or_o end_n the_o other_o call_v the_o west_n set_v and_o quarter_n of_o the_o west_n the_o meridiane_a define_v the_o bound_n of_o the_o low_a and_o high_a of_o heaven_n and_o the_o quarter_n or_o middle_a motion_n of_o the_o day_n and_o night_n time_n of_o which_o that_o consist_v the_o upper_a half_a sphere_n be_v name_v the_o high_a place_n and_o middle_n of_o heaven_n the_o other_o which_o contain_v the_o low_a place_n right_a against_o it_o call_v the_o bothom_n or_o low_a of_o heaven_n the_o meridiane_a be_v a_o great_a circle_n immovable_a not_o one_o and_o the_o same_o every_o where_n but_o to_o every_o place_n peculiar_a and_o proper_a draw_v by_o the_o top_n of_o the_o place_n and_o pole_n of_o the_o world_n unto_o which_o the_o sun_n carry_v by_o the_o motion_n of_o the_o first_o mover_n do_v in_o the_o day_n time_n cause_n high_a noon_n and_o in_o the_o night_n time_n draw_v right_a against_o it_o cause_v midnight_n if_o this_o circle_n be_v movable_a like_o other_o then_o at_o the_o motion_n of_o the_o sphere_n will_v it_o depart_v from_o our_o zenith_n and_o so_o loose_a the_o name_n of_o the_o meridiane_a neither_o will_v it_o divide_v in_o proper_a place_n under_o it_o the_o artificial_a day_n into_o two_o equal_a part_n see_v by_o that_o motion_n the_o meridiane_a shall_v approach_v near_o to_o one_o part_n of_o the_o horizont_n then_o to_o the_o other_o part_n nor_o shall_v it_o stay_v the_o horizont_n at_o right_a angle_n of_o which_o it_o be_v number_v and_o account_v amongst_o the_o outward_a circle_n of_o the_o sphere_n the_o like_a affirm_v proclus_n write_v that_o the_o meridiane_a be_v none_o of_o those_o circle_n which_o be_v note_v and_o deck_v with_o star_n for_o the_o circle_n of_o the_o sphere_n be_v distinguish_v by_o star_n whereby_o those_o circle_n may_v more_o easy_o be_v know_v in_o heaven_n the_o meridiane_n be_v change_v by_o the_o continual_a change_v of_o place_n in_o the_o swell_a or_o emboss_v of_o the_o earth_n according_a to_o longitude_n for_o by_o go_v continual_o right_a forth_o towards_o the_o east_n and_o west_n it_o do_v purchase_v new_a meridianes_n as_o by_o go_v three_o mile_n forth_o then_o be_v a_o other_o point_n of_o heaven_n differ_v from_o the_o first_o over_o a_o man_n head_n and_o go_v further_o by_o four_o minute_n of_o a_o degree_n proclus_n affirm_v that_o 300._o furlong_n cause_v no_o sensible_a alteration_n to_o happen_v of_o the_o meridian_n and_o this_o be_v mean_v of_o those_o which_o be_v place_v under_o diverse_a meridianes_n and_o parallel_n for_o those_o which_o be_v place_v under_o one_o parallel_n and_o diverse_a meridianes_n perceive_v and_o see_v no_o alteration_n at_o all_o he_o which_o go_v straight_o from_o the_o north_n into_o the_o south_n or_o they_o which_o direct_o journey_n towards_o either_o of_o the_o pole_n of_o the_o world_n do_v continual_o travail_v under_o one_o meridiane_a in_o that_o all_o merdianes_n do_v go_v from_o one_o pole_n to_o another_o therefore_o no_o journey_n cause_v by_o this_o mean_v a_o other_o meridiane_n there_o be_v as_o many_o meridians_fw-la in_o number_n as_o there_o be_v difference_n of_o verticiall_a point_n right_a over_o diverse_a part_n of_o the_o earth_n in_o go_v towards_o the_o east_n and_o west_n the_o half_a of_o the_o equinoctial_a have_v 180._o degree_n whereof_o the_o cosmographer_n do_v assign_v and_o distinguish_v so_o many_o meridians_fw-la in_o such_o sort_n that_o each_o meridiane_a do_v pass_v by_o the_o twoe_o opposite_a degree_n of_o that_o equinoctial_a and_o pole_n of_o the_o world_n the_o longitude_n of_o a_o place_n be_v the_o arcke_n of_o the_o equinoctial_a circle_n or_o of_o any_o parallel_n contain_v between_o two_o meridianes_n of_o which_o the_o one_o lie_v over_o the_o fortunate_a 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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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pole_n then_o do_v they_o form_v and_o make_v right_a angle_n with_o their_o cyrcumference_n and_o part_v one_o the_o other_o into_o equal_a part_n as_o write_v theodosius_n in_o his_o first_o book_n de_fw-fr sphera_fw-la and_o in_o propositi_fw-la 18._o 19_o 20._o and_o 21._o or_o thus_o the_o colour_n of_o the_o equinoctial_o which_o be_v name_v the_o equinoctial_a colour_n be_v a_o great_a circle_n pass_v by_o the_o pole_n of_o the_o world_n and_o the_o first_o point_n of_o aries_n &_o libra_n where_o the_o two_o equinoctial_a point_n be_v say_v to_o be_v in_o that_o the_o sun_n cause_v a_o like_a day_n and_o night_n in_o every_o place_n or_o for_o that_o these_o point_n be_v in_o the_o equator_fw-la whereof_o it_o be_v call_v the_o colour_n distinguish_v the_o equinoctial_o so_o that_o the_o two_o colour_n cross_v one_o another_o on_o the_o pole_n of_o the_o world_n at_o right_a spericall_a angle_n it_o be_v call_v the_o colour_n of_o the_o equinoctial_o for_o that_o it_o pass_v by_o the_o equinoctial_a point_n as_o by_o the_o beginning_n of_o aries_n &_o libra_n which_o they_o call_v the_o equinoctial_a point_n for_o that_o when_o the_o sun_n happen_v into_o either_o of_o they_o the_o day_n and_o night_n be_v of_o equal_a length_n throughout_o the_o earth_n which_o come_v to_o pass_v twice_o in_o the_o year_n as_o in_o the_o spring_n and_o harvest_n whereof_o the_o one_o be_v call_v the_o equinoctial_a spring_n and_o at_o this_o day_n be_v about_o the_o eleven_o of_o march_n which_o be_v the_o day_n before_o gregory_n the_o other_o the_o harvest_n spring_n and_o happen_v in_o our_o time_n the_o 14._o of_o september_n that_o be_v three_o day_n afore_o lambert_n whereof_o arise_v this_o ancient_a verse_n lampert_n gregori_n nox_fw-la est_fw-la aequata_fw-la diei_fw-la the_o colour_n of_o the_o solstice_n be_v a_o great_a circle_n movable_a and_o every_o where_o alike_o draw_v by_o the_o solsticiall_a point_n or_o the_o beginning_n of_o cancer_n &_o 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be_v further_a distant_a from_o the_o equatoure_n but_o immediate_o after_o he_o begin_v to_o return_v and_o come_v again_o unto_o the_o equatour_n till_o he_o come_v unto_o the_o other_o equinoctial_a point_n so_o that_o the_o point_n of_o the_o sun_n further_a distance_n which_o be_v the_o begin_n of_o cancer_n or_o capricornus_fw-la and_o of_o the_o same_o call_v the_o solstice_n in_o that_o the_o sun_n stay_v there_o that_o be_v cease_v from_o his_o further_a go_v or_o departure_n and_o begin_v again_o to_o come_v to_o the_o equatoure_n for_o the_o sun_n after_o his_o come_n unto_o that_o point_n depart_v and_o come_v again_o to_o the_o equatour_n so_o that_o the_o end_n the_o departure_n and_o beginning_n of_o his_o come_n be_v the_o solstice_n therefore_o not_o for_o that_o the_o sun_n stay_v there_o be_v they_o call_v the_o solstice_n although_o about_o those_o point_n of_o the_o go_n and_o come_v of_o the_o sun_n it_o be_v so_o small_a that_o for_o four_o sire_n or_o more_o day_n after_o he_o seem_v in_o judgement_n as_o it_o be_v to_o stay_v in_o one_o declination_n and_o therefore_o for_o that_o cause_n may_v be_v name_v the_o solstitial_o these_o of_o sundry_a as_o of_o campanus_n be_v also_o call_v tropic_n point_n through_o the_o sun_n return_v and_o these_o may_v be_v call_v uerticiall_a or_o cardinal_a circle_n see_v they_o go_v by_o those_o top_n of_o the_o world_n and_o express_v or_o show_v the_o four_o quarter_n of_o the_o zodiac_n moreover_o see_v certain_a part_n of_o these_o circle_n be_v near_o the_o pole_n be_v hide_v and_o the_o other_o right_n against_o they_o nothing_o at_o all_o discern_v at_o any_o time_n therefore_o be_v it_o that_o they_o be_v call_v in_o greek_a kolouroi_n which_o be_v in_o english_a maim_v and_o unperfect_a as_o proclus_n diadochus_n mocrobius_fw-la and_o capella_n write_v but_o this_o agree_v not_o in_o the_o right_a horizont_n see_v there_o be_v no_o part_n of_o heaven_n which_o do_v always_o remain_v there_o hide_v but_o in_o the_o description_n of_o the_o astrolobie_n how_o large_a soever_o the_o same_o be_v yet_o only_o these_o circle_n appear_v continual_o unperfect_a yet_o further_o the_o colour_n of_o the_o solstice_n or_o the_o circle_n distinguish_v the_o solstice_n which_o also_o be_v call_v the_o solstitial_a circle_n be_v a_o great_a circle_n draw_v and_o pass_v by_o the_o pole_n of_o the_o world_n and_o zodiac_n and_o the_o great_a declination_n of_o the_o same_o and_o by_o the_o beginning_n of_o cancer_n and_o capricornus_fw-la it_o be_v call_v the_o colour_n of_o the_o solstice_n in_o that_o it_o pass_v by_o the_o solsticiall_a point_n as_o by_o the_o beginning_n of_o cancer_n and_o capricornus_fw-la which_o be_v name_v the_o solsticiall_a point_n for_o that_o in_o they_o the_o solstice_n be_v cause_v that_o be_v the_o sun_n come_v unto_o
those_o point_n depart_v not_o further_o from_o the_o equinoctial_a but_o come_v again_o unto_o the_o equinoctial_a which_o be_v cause_v twice_o in_o the_o year_n as_o in_o summer_n and_o winter_n whereof_o the_o one_o be_v call_v the_o summer_n solstice_n which_o in_o our_o time_n happen_v the_o 12._o of_o june_n or_o thereabouts_o be_v the_o next_o day_n after_o s._n barnaby_n the_o apostle_n where_o the_o long_a day_n be_v hold_v to_o be_v the_o other_o the_o winter_n solstice_n which_o in_o our_o time_n happen_v about_o the_o 11._o or_o 12._o day_n of_o december_n be_v a_o day_n or_o two_o before_o lucy_n where_o the_o day_n be_v account_v short_a whereof_o be_v this_o ancient_a verse_n extant_a vitus_n est_fw-fr lucia_n daunt_v tibi_fw-la solstitia_fw-la bina_fw-la of_o the_o former_a also_o ensue_v that_o there_o be_v certain_a fix_a and_o movable_a colour_n for_o there_o be_v a_o fix_a colour_n of_o the_o equi●octiale_fw-la which_o pass_v by_o the_o pole_n of_o the_o world_n and_o section_n of_o the_o equatoure_n and_o ecclipticke_a of_o the_o first_o mover_n the_o fix_a colour_n of_o the_o solstice_n do_v cut_v this_o at_o right_a angle_n in_o the_o pole_n of_o the_o world_n and_o pass_v by_o the_o middle_n of_o the_o sun_n great_a declination_n see_v neither_o the_o equinoctial_o nor_o solstice_n be_v cause_v according_a to_o the_o true_a meaning_n of_o the_o astronomer_n as_o afore_o may_v appear_v both_o in_o these_o point_n aswell_o as_o in_o other_o therefore_o a_o man_n must_v conceive_v that_o the_o colour_n be_v movable_a of_o which_o the_o one_o go_v by_o the_o true_a equinoctial_a that_o be_v by_o the_o section_n of_o the_o sun_n way_n and_o equatour_n and_o by_o the_o pole_n of_o the_o world_n and_o the_o other_o of_o the_o solstice_n pass_v by_o the_o sun_n great_a declination_n these_o hitherto_o write_v may_v more_o plain_a appear_v by_o this_o demonstration_n here_o follow_v in_o this_o figure_n be_v the_o circle_n and_o part_n of_o the_o circle_n note_v with_o their_o name_n in_o which_o the_o letter_n f._n express_v the_o true_a and_o movable_a equinoctial_a the_o letter_n e._n be_v a_o note_n of_o the_o fix_a equinoctial_a the_o letter_n d._n point_v out_o the_o head_n of_o aries_n of_o the_o eight_o sphere_n the_o letter_n c._n the_o centre_n of_o the_o eight_o sphere_n the_o letter_n a._n of_o the_o nine_o and_o ten_o sphere_n the_o letter_n k._n n._n represent_v the_o sun_n great_a declination_n true_o the_o letter_n r._n m._n the_o sun_n middle_a declination_n great_a how_o much_o the_o equinoctial_o be_v distant_a one_o from_o another_o the_o former_a large_a instruction_n of_o the_o equinoctial_o may_v easy_o show_v at_o any_o time_n unto_o which_o a_o man_n must_v always_o resort_v the_o sun_n great_a declination_n be_v the_o ark_n of_o the_o colour_n of_o the_o solstice_n contain_v between_o the_o equatoure_n and_o either_o tropic_n this_o of_o sundry_a practisioner_n be_v diverse_o note_v for_o ptolemy_n find_v the_o same_o in_o his_o time_n to_o be_v of_o 23._o degree_n 51._o minute_n and_o 20._o second_n of_o which_o the_o whole_a circle_n be_v note_v to_o be_v 360._o degree_n but_o after_o alnieon_n of_o 23._o degree_n and_o 33._o minute_n but_o the_o late_a practisioner_n have_v find_v the_o same_o to_o be_v 23._o degree_n and_o 30._o minute_n purbachius_n have_v find_v the_o same_o to_o be_v of_o 23._o and_o 21._o minute_n which_o variation_n of_o the_o sun_n great_a declination_n be_v through_o the_o come_n and_o go_v of_o the_o eight_o sphere_n which_o be_v name_v the_o tremble_a motion_n but_o this_o be_v demonstrate_v and_o teach_v more_o at_o large_a in_o the_o theorick_n if_o any_o desire_n to_o observe_v the_o sun_n great_a declination_n let_v he_o take_v the_o altitude_n of_o the_o sun_n about_o the_o winter_n solstice_n in_o the_o short_a day_n at_o noon_n which_o altitude_n be_v keep_v a_o part_n work_v the_o like_a the_o sun_n be_v about_o the_o summer_n solstice_n and_o the_o sun_n great_a altitude_n at_o noon_n find_v by_o the_o rule_n of_o the_o astrolobie_n look_v that_o in_o the_o bordure_n of_o the_o same_o and_o take_v the_o middle_n of_o that_o ark_n which_o be_v between_o the_o sun_n least_n and_o great_a elevation_n at_o noon_n which_o possess_v the_o middle_a and_o shall_v be_v the_o sun_n great_a declination_n the_o knowledge_n of_o the_o sun_n declination_n with_o the_o other_o star_n be_v very_o profitable_a in_o that_o by_o the_o same_o and_o the_o perfection_n of_o the_o elevation_n of_o the_o pole_n the_o true_a place_n of_o the_o sun_n if_o the_o same_o be_v unknown_a may_v be_v know_v the_o sun_n great_a declination_n presuppose_v after_o this_o manner_n as_o follow_v mark_n and_o consider_v diligent_o the_o sun_n be_v in_o the_o noonestead_n circle_n carry_v up_o from_o the_o horizont_n which_o find_v if_o the_o sun_n run_v in_o the_o northerly_a sign_n abate_v from_o the_o say_a elevation_n the_o complement_n of_o the_o elevation_n of_o th●_n pole_n if_o the_o sun_n be_v carry_v in_o the_o southerly_a sign_n then_o work_v contrary_a for_o that_o which_o remain_v shall_v be_v the_o sun_n particular_a declination_n as_o by_o a_o like_a example_n use_v this_o the_o sun_n be_v imagine_v to_o be_v elevate_v above_o the_o horizont_n 63._o degree_n 21._o minute_n and_o 4._o second_n the_o elevation_n of_o the_o pole_n be_v 41._o degree_n and_o 30._o minute_n and_o the_o compliment_n of_o the_o same_o altitude_n of_o the_o pole_n to_o be_v 48._o degree_n and_o 30._o minute_n with_o the_o which_o subtract_v the_o sun_n altitude_n at_o noon_n and_o the_o remaurer_n shall_v be_v the_o sun_n declination_n which_o be_v 14._o degree_n 51._o minute_n &_o 4._o second_n be_v the_o distance_n of_o the_o sun_n from_o the_o begin_n of_o aries_n abate_v for_o the_o sun_n run_v in_o the_o northerly_a sign_n at_o the_o time_n of_o the_o observation_n before_o the_o summer_n solstice_n what_o the_o office_n or_o utility_n of_o the_o colour_n be_v 1_o she_o common_a office_n in_o general_a of_o the_o colour_n be_v to_o show_v the_o four_o principal_a point_n of_o the_o zodiac_n in_o which_o through_o the_o sun_n motion_n the_o great_a change_n and_o alteration_n of_o time_n be_v cause_v 2_o they_o serve_v to_o demonstrat_fw-la the_o solstice_n and_o equinoctialle_n and_o to_o divide_v the_o zodiac_n into_o four_o equal_a part_n to_o which_o the_o four_o season_n of_o the_o year_n do_v answer_v 3._o the_o use_n of_o the_o one_o be_v to_o express_v and_o make_v manifest_a the_o point_n of_o the_o equinoctial_o and_o the_o other_o to_o show_v the_o point_n of_o the_o solstice_n 4_o they_o both_o cut_v the_o zodiac_n and_o equatour_n into_o two_o equal_a half_a circle_n and_o both_o divide_v either_o circle_n into_o four_o equal_a quarter_n 5_o but_o the_o colour_n of_o the_o solsticis_fw-la offer_v many_o other_o use_n for_o in_o the_o same_o be_v the_o sun_n great_a declination_n or_o thwartnesse_n measure_v and_o number_v in_o that_o the_o sun_n great_a declination_n be_v the_o ark_n of_o the_o colour_n of_o the_o colsticis_fw-la enclose_v between_o the_o beginning_n of_o cancer_n and_o the_o equatour_n which_o arcke_n be_v either_o increase_v or_o diminish_v according_a to_o the_o wind_a in_o and_o out_o of_o the_o ecliptic_n unto_o the_o equatour_n as_o be_v afore_o mention_v 6._o they_o serve_v to_o distinguish_v the_o equinectiall_a the_o zodiac_n and_o all_o heaven_n into_o four_o equal_a part_n the_o use_n of_o which_o matter_n shall_v appear_v in_o the_o place_n of_o the_o ascension_n of_o the_o sign_n 7_o each_o colour_n beside_o have_v his_o private_a office_n or_o utility_n as_o the_o colour_n of_o the_o solstice_n which_o have_v four_o office_n the_o first_o demonstrate_v the_o solsticiall_a point_n the_o second_o contain_v and_o measure_v the_o sun_n great_a declination_n the_o three_o that_o it_o stay_v up_o the_o pole_n of_o the_o zodiac_n and_o show_v their_o distance_n from_o the_o pole_n of_o world_n the_o four_o that_o it_o devide_v the_o zodiac_n into_o two_o half_n as_o into_o the_o ascend_a and_o descend_v also_o the_o same_o in_o the_o thwart_a sphere_n do_v separate_v the_o sign_n right_o arise_v from_o the_o sign_n thwart_o rise_v 8_o the_o colour_n of_o the_o equinoctial_o have_v twoe_o office_n the_o first_o that_o it_o demonstrate_v the_o equinoctial_a point_n the_o second_o that_o it_o devide_v the_o zodiac_n into_o two_o half_n as_o into_o the_o northerly_a and_o southerly_a half_n 9_o to_o conclude_v the_o colour_n of_o the_o solstice_n do_v often_o supply_v and_o be_v use_v in_o the_o stead_n of_o the_o meridiane_a when_o as_o in_o every_o daily_a revolution_n of_o the_o first_o mover_n it_o do_v twice_o enter_v into_o the_o place_n of_o the_o meridiane_n or_o be_v twice_o join_v in_o
hand_n with_o the_o sign_n decent_o place_v the_o ark_n or_o root_n of_o the_o declination_n follow_v those_o number_n which_o root_n be_v no_o other_o than_o the_o arke_n of_o the_o circle_n of_o the_o latitude_n that_o be_v the_o circle_n pass_v by_o the_o pole_n of_o the_o ecliptic_n include_v between_o the_o ecliptic_n and_o equatour_n the_o general_a table_n of_o the_o declination_n ♈_o ♎_o arke_n ♉_o ♏_o arke_n ♊_o ♐_o arke_n g_o ●r_n m_o ●r_n m_o ●r_n m_o g_z 0_o 0_o 0_o 12_o 16_o 20_o 38_o 30_o 1_o 0_o 26_o 12_o 37_o 20_o 40_o 29_o 2_o 0_o 12_o 12_o 37_o 21_o 0_o 28_o 3_o 1_o 18_o 12_o 58_o 21_o 11_o 27_o 4_o 1_o 44_o 12_o 58_o 21_o 21_o 26_o 5_o 2_o 10_o 13_o 19_o 21_o 31_o 25_o 6_o 2_o 36_o 13_o 40_o 21_o 40_o 24_o 7_o 3_o 2_o 14_o 0_o 21_o 49_o 23_o 8_o 3_o 28_o 14_o 20_o 21_o 58_o 22_o 9_o 3_o 53_o 14_o 40_o 22_o 6_o 21_o 10_o 4_o 19_o 14_o 50_o 22_o 14_o 20_o 11_o 4_o 45_o 15_o 18_o 22_o 21_o 19_o 12_o 5_o 10_o 15_o 37_o 22_o 28_o 18_o 13_o 5_o 25_o 15_o 55_o 22_o 35_o 17_o 14_o 6_o 0_o 16_o ●_o 22_o 41_o 16_o 15_o 6_o 25_o 17_o 31_o 22_o 47_o 15_o 16_o 6_o 50_o 17_o 48_o 23_o 52_o 14_o 17_o 7_o 15_o 17_o 5_o 23_o 57_o 13_o 18_o 7_o 39_o 17_o 22_o 23_o 2_o 12_o 19_o 8_o 3_o 18_o ●8_o 23_o 7_o 11_o 20_o 8_o 27_o 18_o 54_o 23_o 11_o 10_o 21_o 8_o ●●_o 18_o 0_o 23_o 15_o 9_o 22_o 9_o 15_o 18_o 25_o 23_o 18_o 8_o 23_o 9_o 39_o 19_o 40_o 23_o 21_o 7_o 24_o 10_o 2_o 10_o 55_o 23_o 23_o 6_o 25_o 10_o 25_o 19_o 9_o 23_o 25_o 5_o 26_o 10_o 48_o 19_o 23_o 23_o 27_o 4_o 27_o 11_o 10_o 20_o 36_o 23_o 28_o 3_o 28_o 11_o 32_o 20_o 49_o 23_o 29_o 2_o 29_o 11_o 54_o 20_o 36_o 23_o 30_o 1_o 30_o 12_o 16_o 20_o 30_o 23_o 30_o 0_o ecli●_n ♏_o ♓_o ♌_o ♒_o ♋_o ♉_o ecli●_n the_o meridiane_n with_o the_o horizont_n in_o any_o right_a or_o thwart_v &_o in_o the_o other_o four_o great_a circle_n do_v distinguish_v all_o heaven_n into_o twelve_o space_n which_o they_o call_v the_o house_n of_o heaven_n of_o these_o four_o which_o occupy_v the_o angle_n of_o heaven_n be_v call_v the_o quarter_n the_o four_o next_o to_o these_o be_v name_v the_o succedent_n the_o last_o include_v by_o the_o succedentes_fw-la and_o angle_n be_v name_v the_o decline_a house_n and_o the_o cadent_a from_o the_o angle_n the_o meridian_n also_o have_v a_o most_o great_a use_n in_o cosmographie_n for_o by_o it_o the_o describer_n of_o the_o world_n measure_v the_o longitude_n and_o latitude_n of_o place_n and_o city_n which_o be_v know_v the_o distance_n of_o city_n may_v easy_o be_v find_v that_o you_o may_v understand_v what_o the_o longitude_n and_o latitude_n of_o a_o place_n be_v it_o behove_v you_o to_o know_v the_o distinction_n of_o the_o earth_n after_o the_o geographer_n which_o be_v on_o this_o wise_a the_o geographer_n do_v assign_v or_o imagine_v two_o point_n on_o the_o earth_n right_a under_o the_o pole_n of_o the_o world_n after_o that_o they_o devise_v a_o circle_n equal_o distant_a on_o either_o side_n from_o these_o these_o two_o point_n right_a under_o the_o equinoctial_a which_o devide_v the_o whole_a globe_n of_o the_o earth_n and_o water_n into_o twoe_o equal_a half_n this_o circle_n thus_o describe_v on_o earth_n they_o distribute_v into_o 360._o part_n or_o degree_n in_o proceed_v from_o the_o west_n into_o the_o east_n by_o each_o degree_n of_o this_o circle_n and_o by_o the_o point_v right_a under_o the_o pole_n they_o imagine_v and_o draw_v 180._o circle_n which_o for_o that_o they_o be_v under_o the_o celestial_a meridians_fw-la they_o also_o call_v meridians_fw-la and_o those_o they_o divide_v into_o three_o hundred_o &_o threescore_o part_n or_o degree_n by_o which_o part_n they_o imagine_v and_o draw_v the_o parallel_n or_o equidistant_a circle_n to_o the_o equinoctial_a proceed_v from_o the_o equinoctial_a on_o either_o side_n towards_o the_o point_n in_o the_o pole_n lie_v under_o these_o parallel_n &_o although_o they_o be_v not_o of_o the_o same_o bigness_n or_o largeness_n for_o how_o much_o near_o the_o pole_n they_o be_v 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the_o place_n offer_v that_o be_v the_o longitude_n of_o any_o place_n be_v the_o distance_n thereof_o from_o that_o westerly_a point_n from_o which_o the_o beginning_n of_o longitude_n be_v account_v towards_o the_o east_n they_o begin_v to_o account_v the_o longitude_n from_o the_o west_n through_o the_o proper_a motion_n of_o the_o planet_n which_o be_v carry_v unto_o the_o contrary_a quarter_n from_o the_o west_n or_o rather_o for_o the_o moon_n at_o who_o eclipse_n it_o be_v well_o know_v that_o it_o more_o avail_v than_o the_o true_a find_v out_o the_o longitude_n of_o place_n or_o as_o some_o rather_o think_v likely_a that_o the_o place_n which_o end_n and_o stand_v further_a westward_o inhabit_v have_v be_v sure_n and_o perfect_a find_v for_o through_o the_o nearness_n and_o opportunity_n of_o the_o journey_n which_o they_o in_o ancient_a time_n be_v move_v to_o f●ava●le_v and_o sail_v ●●●●_o as_o the_o twoe_o isle_n name_v gades_n which_o lie_v by_o the_o further_a part_n of_o spain_n beyond_o granade_n and_o since_o through_o the_o passage_n by_o west_n ocean_n man_n of_o late_a year_n have_v sail_v about_o the_o further_a part_n without_o stop_n or_o impediment_n but_o unto_o the_o eastward_o they_o be_v stop_v of_o their_o course_n by_o a_o great_a distance_n through_o the_o difficulty_n and_o peril_n of_o the_o journey_n and_o since_o beyond_o the_o half_a circle_n almost_o threescore_o degree_n man_n have_v sail_v to_o scythia_n beside_o imaus_n which_o now_o be_v name_v the_o great_a tartary_n that_o reach_v border_v to_o the_o upper_a india_n where_o the_o most_o large_a kingdom_n of_o cathagia_n under_o the_o parallel_n of_o thracia_n flourish_v where_o bebeid_n cham_n be_v governor_n and_o that_o be_v the_o part_n of_o tartary_n which_o begin_v from_o the_o river_n tanais_n so_o that_o the_o largeness_n of_o schithia_n asiatica_fw-la from_o the_o west_n to_o the_o east_n do_v almost_o take_v up_o 84._o whole_a degree_n america_n in_o the_o sea_n atlanticus_n be_v of_o such_o greatness_n that_o the_o same_o be_v suppose_v to_o be_v a_o four_o part_n of_o the_o world_n inhabit_v the_o middle_a or_o half_a of_o it_o have_v the_o longitude_n of_o 330._o degree_n and_o the_o latitude_n of_o ten_o degree_n southward_o the_o sea_n altanticus_n have_v many_o large_a land_n in_o it_o among_o which_o the_o most_o notable_a be_v spagnolla_n cuba_n parias_fw-la otherwise_o chersovesus_n by_o the_o straight_a that_o reach_v upward_o into_o the_o north_n the_o middle_n of_o the_o same_o have_v the_o longitude_n of_o 285._o degree_n the_o latitude_n northerly_a 44._o degree_n for_o from_o 11._o unto_o 50._o almost_o it_z reacheih_o unto_o america_n streach_v far_o into_o the_o south_n beyond_o the_o tropic_n of_o capricorn_n although_o his_o bound_n or_o further_a part_n southerly_a be_v not_o yet_o find_v or_o know_v to_o the_o ancient_a it_o be_v no_o further_o know_v southward_o than_o 17._o degree_n beyond_o the_o equinoctial_a and_o the_o further_a know_v to_o they_o northward_o exceed_v not_o three_o score_n and_o three_o degree_n which_o as_o ptolemy_n witness_v be_v unto_o the_o island_n thylen_n so_o that_o the_o whole_a latitude_n find_v by_o they_o appear_v to_o be_v 80._o degree_n both_o of_o the_o one_o and_o the_o other_o side_n of_o the_o equinoctial_a and_o on_o earth_n the_o same_o contain_v 40._o thousand_o furlong_n to_o which_o 50._o hundred_o pace_n answer_v but_o german_a mile_n two_o hundred_o thousand_o agree_v also_o the_o island_n thilen_n or_o thulen_n stand_v beyond_o scotland_n and_o the_o isle_n hebrides_n
understand_v of_o young_a student_n and_o practisioner_n in_o this_o manner_n first_o the_o side_n a._n b._n contain_v three_o space_n which_o multiply_v do_v bring_v forthꝰ_n the_o line_n b._n c._n comprehend_v 4._o distance_n which_o multiply_v do_v produce_v or_o bring_v for_o 16._o which_v two_o square_n conjoin_v do_v make_v 25_o &_o the_o square_n which_o proceed_v of_o the_o 5._o multiply_v which_o the_o line_n a._n c._n contain_v do_v they_o equate_v even_o so_o in_o the_o instruction_n of_o find_v the_o distance_n of_o place_n according_a to_o the_o three_o rule_n the_o difference_n of_o the_o longitude_n be_v represent_v by_o the_o line_n b._n c._n but_o the_o difference_n of_o the_o latitude_n by_o the_o line_n a._n b._n therefore_o as_o by_o the_o quantity_n know_v of_o the_o line_n a._n b._n and_o b_o c._n be_v the_o quantity_n of_o the_o line_n a_o c._n attain_v also_o by_o the_o difference_n of_o the_o longitude_n and_o the_o latitude_n of_o place_n know_v and_o those_o 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that_o artificer_n do_v especial_o work_v in_o it_o even_o so_o the_o like_a be_v the_o horizone_n name_v artificial_a in_o that_o tower_n foretress_n and_o castle_n in_o time_n past_a be_v build_v like_o the_o horizone_n the_o diameter_n of_o this_o horizone_n after_o macrobius_n which_o near_o agree_v to_o a_o truth_n than_o either_o proclus_n or_o albertus_n as_o afore_o be_v teach_v be_v of_o 36._o furlong_n to_o which_o almost_o four_a german_a mile_n answer_v and_o 22._o english_a mile_n and_o so_o far_o on_o a_o plain_a and_o even_o ground_n not_o hinder_v by_o hill_n or_o thick_a mist_n may_v a_o man_n full_o see_v and_o in_o the_o same_o space_n the_o emboss_a round_n of_o the_o earth_n be_v without_o hill_n be_v increase_v and_o grow_v to_o 250._o feel_v or_o 125._o cubit_n so_o that_o this_o horizone_n be_v not_o sudden_o change_v nor_o in_o a_o short_a space_n therefore_o of_o necessity_n must_v ensue_v that_o those_o which_o be_v distant_a by_o a_o lesser_a space_n than_o 360._o furlong_n to_o see_v always_o some_o part_n of_o the_o earth_n common_a to_o both_o but_o those_o which_o be_v distant_a by_o many_o space_n do_v comprehend_v diverse_a compass_n by_o sight_n of_o the_o eye_n and_o diverse_a horizone_n the_o rational_a horizone_n be_v that_o which_o afore_o be_v describe_v that_o the_o same_o be_v a_o great_a circle_n lie_v by_o the_o edge_n of_o the_o earth_n and_o reach_v round_o about_o unto_o the_o sky_n and_o devide_v the_o celestial_a orb_n into_o two_o equal_a half_a sphere_n as_o the_o one_o half_a in_o sight_n and_o the_o other_o hide_v to_o us._n although_o the_o plain_a upper_a face_n of_o the_o horizone_n pass_v not_o by_o the_o centre_n of_o the_o earth_n yet_o by_o the_o edge_n of_o the_o same_o through_o
horizon_n that_o the_o sun_n in_o the_o equatoure_n place_v by_o rise_v and_o set_v pass_v do_v part_n and_o divide_v either_o half_a circle_n into_o equal_a quarter_n and_o with_o these_o point_n do_v the_o pole_n of_o the_o meridian_n join_v and_o either_o quarter_n do_v the_o other_o two_o as_o the_o rise_n and_o set_v divide_v into_o two_o unequal_a ark_n for_o of_o the_o twoe_o northerly_a quarter_n the_o same_o which_o tend_v and_o look_v unto_o the_o east_n be_v the_o solsticial_a rise_n and_o the_o other_o the_o solsticiall_a set_n but_o of_o the_o twoe_o southerly_a the_o easterly_a do_v the_o winter_n rise_v divide_v and_o the_o westerly_a do_v the_o winter_n set_v part_n but_o by_o what_o space_n these_o rise_n and_o setting_n may_v differ_v and_o be_v distant_a from_o the_o former_a middle_n in_o every_o horizon_n and_o in_o the_o largeness_n of_o rise_v do_v ptolemy_n instruct_v in_o that_o elevation_n of_o 40._o degree_n and_o fifteen_o scruple_n of_o the_o shadow_n which_o the_o sun_n arise_v and_o set_v in_o these_o point_n of_o the_o horizon_n cause_v be_v worthy_a to_o be_v consider_v and_o note_v in_o that_o the_o equinoctial_a shadow_n which_o through_o the_o sun_n rise_v and_o set_v in_o the_o equinoctial_a point_n be_v cause_v do_v fall_v and_o extend_v in_o straight_a manner_n but_o the_o other_o shadow_n not_o in_o the_o same_o condition_n or_o not_o in_o straight_a line_n do_v fall_v but_o that_o the_o solsticiall_a shadow_n in_o the_o rise_n with_o the_o winter_n shadow_n in_o the_o set_n and_o contrariwise_o the_o winter_n shadow_n in_o the_o rise_n with_o the_o solsticiall_a in_o the_o set_n do_v form_n and_o make_v right_a shadow_n the_o office_n or_o utility_n of_o the_o horizon_n 1_o this_o circle_n like_a as_o all_o the_o other_o so_o that_o nothing_o in_o heaven_n be_v frivolous_a and_o of_o a_o vain_a imagination_n have_v many_o utility_n first_o it_o devide_v the_o whole_a heaven_n into_o two_o equal_a half_a sphere_n 2_o it_o declare_v which_o star_n be_v of_o continual_a appearance_n and_o which_o continual_o hide_v under_o the_o horizon_n which_o do_v set_v and_o which_o do_v arise_v above_o the_o horizon_n so_o that_o it_o appear_v that_o the_o star_n consist_v in_o a_o triple_a defference_n as_o that_o certain_a do_v arise_v and_o set_v certain_a never_o appear_v above_o the_o horizone_n and_o certain_a continue_v and_o be_v always_o above_o the_o horizon_n 3_o the_o horizon_n therefore_o be_v cause_v of_o the_o habitude_n as_o well_o of_o the_o right_n as_o the_o thwart_a sphere_n 4_o the_o rising_z and_o set_v of_o the_o star_n be_v apply_v unto_o the_o horizon_n by_o which_o setting_n and_o rise_n the_o description_n of_o time_n be_v change_v and_o it_o also_o declare_v the_o degree_n of_o the_o zodiac_n with_o the_o which_o each_o star_n rise_v and_o set_v 5_o the_o horizone_n show_v the_o rise_n and_o set_v of_o the_o sign_n of_o the_o zodiac_n the_o exaltation_n or_o elevation_n of_o the_o pole_n and_o the_o equatoure_n the_o latitude_n of_o place_n to_o the_o largeness_n of_o rise_v which_o be_v the_o ark_n of_o the_o horizon_n to_o the_o star_n or_o point_n of_o the_o ecclipticke_a and_o equatour_n arise_v together_o include_v with_o the_o beginning_n of_o the_o twelve_o house_n of_o heaven_n 6_o by_o the_o office_n of_o the_o horizone_n at_o any_o time_n we_o may_v learn_v and_o know_v the_o quantity_n of_o the_o artificial_a day_n and_o night_n and_o likewise_o procure_v or_o show_v the_o just_a cause_n of_o the_o inequality_n of_o the_o artificial_a day_n it_o do_v also_o declare_v the_o rise_n and_o set_v of_o the_o sun_n for_o as_o the_o horizon_n according_a to_o the_o elevation_n or_o depression_n of_o the_o pole_n be_v vary_v even_o so_o be_v the_o verticiall_a day_n in_o themselves_o cause_v unequal_a yea_o in_o those_o point_n of_o the_o zodiac_n 7_o by_o the_o benefit_n of_o the_o horizon_n the_o sun_n shine_v we_o attain_v and_o come_v each_o day_n unto_o the_o knowledge_n of_o the_o unequal_a hour_n of_o the_o day_n 8_o it_o show_v to_o we_o the_o elongation_n of_o the_o star_n from_o the_o rise_n and_o set_v which_o the_o astronomer_n call_v the_o largeness_n of_o the_o rise_n and_o set_v or_o the_o zenith_n of_o the_o rise_n and_o set_v 9_o by_o this_o circle_n we_o learn_v how_o much_o the_o rise_n aswell_o of_o the_o star_n as_o the_o other_o point_n of_o heaven_n be_v distant_a from_o the_o true_a and_o the_o equinoctial_a rise_n that_o be_v in_o the_o same_o be_v the_o latitude_n of_o the_o star_n account_v from_o the_o equinoctial_a and_o also_o their_o rise_n and_o setting_n 10_o it_o manife_v the_o degree_n of_o the_o zodiac_n with_o the_o which_o the_o purpose_a star_n rise_v and_o set_v 11_o it_o iudicate_v the_o star_n or_o the_o celestial_a image_n that_o be_v continual_o in_o sight_n or_o always_o hide_v 12_o it_o make_v manifest_v the_o rise_n and_o setting_n of_o the_o sign_n of_o the_o zodiac_n it_o do_v likewise_o make_v distinction_n between_o the_o sun_n and_o moon_n eclipse_n see_v as_o well_o above_o the_o horizon_n as_o not_o in_o sight_n 13_o it_o help_v and_o further_v much_o unto_o the_o find_n of_o the_o latitude_n of_o a_o purpose_a place_n whereof_o through_o the_o benefit_n of_o this_o circle_n and_o the_o meridian_n may_v the_o distance_n of_o place_n be_v certain_o find_v of_o the_o vertical_a circle_n beside_o the_o former_a circle_n at_o large_a mention_v be_v there_o other_o circle_n which_o shall_v here_o be_v utter_v and_o teach_v as_o in_o a_o apt_a place_n agree_v to_o that_o aforesaid_a which_o be●_n these_o the_o vertical_a circle_n the_o circle_n of_o the_o position_n and_o of_o the_o 12._o house_n of_o these_o in_o order_n shall_v here_o be_v write_v as_o the_o necessary_a matter_n offer_v see_v a_o special_a part_n of_o astronomy_n depend_v of_o they_o and_o the_o whole_a composition_n of_o the_o celestial_a instrument_n seem_v likewise_o one_o of_o they_o first_o the_o 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these_o divide_v a_o quarter_n of_o each_o vertical_a circle_n into_o 90._o degree_n so_o that_o none_o of_o the_o altitude_n circle_n be_v great_a than_o the_o horizone_n nor_o lesser_a than_o that_o which_o be_v imagine_v and_o understand_v to_o be_v describe_v about_o the_o verticiall_a point_n the_o especial_a office_n of_o these_o circle_n be_v that_o aswell_o the_o altitude_n of_o the_o fix_a star_n as_o the_o planet_n may_v be_v measure_v and_o know_v as_o the_o fix_a star_n above_o the_o horizone_n by_o which_o altitude_n or_o elevation_n the_o time_n that_o be_v the_o hour_n be_v know_v and_o the_o place_n of_o the_o star_n as_o may_v appear_v in_o table_n make_v for_o that_o only_a purpose_n see_v then_o it_o can_v be_v and_o that_o through_o the_o roundness_n of_o heaven_n but_o that_o any_o star_n give_v or_o suppose_v unto_o the_o motion_n of_o the_o whole_a be_v imagine_v by_o his_o altitude_n to_o be_v distinguish_v in_o some_o parallel_n therefore_o be_v the_o altitude_n of_o the_o star_n or_o of_o any_o other_o celestial_a point_n the_o ark_n of_o the_o verticiall_a circle_n draw_v by_o the_o centre_n of_o the_o star_n contain_v between_o the_o horizon_n and_o the_o star_n give_v which_o as_o afore_o write_v be_v distinguish_v of_o the_o say_a parallel_n the_o meeting_n and_o join_v together_o of_o these_o circle_n with_o the_o vertical_o be_v not_o move_v but_o at_o the_o motion_n of_o the_o vertical_a point_n which_o be_v none_o other_o than_o the_o pole_n of_o the_o horizon_n from_o which_o all_o the_o parallel_n of_o the_o altitude_n be_v imagine_v to_o be_v describe_v by_o equal_a distance_n but_o this_o in_o my_o opinion_n be_v not_o to_o be_v overpass_o that_o be_v that_o any_o star_n when_o it_o shall_v be_v equal_o distant_a from_o the_o
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 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