Selected quad for the lemma: day_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
day_n	half_a	hour_n	quarter_n	7,627	5	11.1436	5	true

Text snippets containing the quad

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

which_o by_o a_o mutual_a section_n do_v make_v a_o angle_n the_o compliment_n of_o the_o latitude_n be_v know_v by_o the_o degree_n abate_v from_o 90._o in_o the_o degree_n of_o the_o latitude_n further_o by_o the_o sun_n meridian_n have_v and_o find_v you_o may_v easy_o conceive_v the_o elevation_n of_o the_o pole_n and_o habitude_n of_o the_o sphere_n for_o the_o whole_a quarter_n be_v of_o 90._o degree_n see_v the_o sun_n meridian_n altitude_n in_o the_o equinoctial_a must_v be_v subtract_v from_o 90._o degree_n the_o rest_n show_v the_o elevation_n of_o the_o pole_n as_o for_o example_n the_o sun_n meridian_n altitude_n of_o viteberge_n in_o germany_n in_o the_o time_n of_o the_o equinoctial_a be_v of_o 38._o degree_n and_o 10._o minute_n the_o rest_n of_o the_o degree_n of_o the_o quarter_n shall_v appear_v to_o be_v 51._o degree_n and_o 50._o minute_n which_o elevation_n of_o the_o pole_n near_o agree_v to_o london_n so_o that_o by_o so_o many_o degree_n be_v the_o pole_n there_o elevate_v above_o the_o horizont_n and_o as_o the_o quadrant_a be_v from_o the_o pole_n unto_o the_o equinoctial_a even_o so_o be_v the_o quadrant_a from_o the_o zenith_n unto_o the_o horizont_n if_o therefore_o in_o the_o time_n of_o the_o equinoctial_a the_o distance_n of_o the_o horizont_n unto_o the_o sun_n altitude_n be_v of_o 38._o degree_n and_o 10._o minute_n which_o be_v not_o the_o half_a part_n of_o the_o quarter_n the_o same_o yet_o be_v subtract_v from_o the_o whole_a quarter_n do_v show_v that_o the_o rest_n shall_v be_v more_o than_o half_a part_n of_o the_o quarter_n that_o be_v 51._o degree_n and_o 51._o minute_n for_o those_o space_n which_o be_v from_o the_o pole_n unto_o the_o equinoctial_a and_o from_o the_o zenith_n unto_o the_o horizont_n be_v alike_o what_o the_o distance_n of_o the_o zenith_n be_v from_o the_o equinoctial_a the_o same_o likewise_o be_v the_o horizont_n unto_o the_o pole_n that_o be_v the_o latitude_n of_o the_o place_n be_v equal_a to_o the_o elevation_n of_o the_o pole_n to_o declare_v that_o the_o latitude_n of_o a_o place_n be_v equal_a to_o the_o elevation_n of_o the_o pole_n these_o four_o proposition_n be_v to_o be_v conceive_v first_o the_o quarter_n of_o one_o and_o the_o same_o circle_n any_o where_o take_v be_v equal_a one_o to_o the_o other_o second_o the_o pole_n by_o the_o quarter_n that_o be_v 90._o degree_n be_v distant_a from_o their_o circle_n three_o the_o zenith_n be_v the_o pole_n of_o the_o horizont_n four_o and_o last_o the_o equal_v abate_v from_o the_o equal_v the_o equal_n still_o remain_v so_o that_o two_o quarter_n of_o the_o meridian_n take_v as_o that_o which_o be_v from_o the_o equinoctial_a unto_o the_o pole_n and_o that_o which_o be_v from_o the_o zenith_n unto_o the_o horizont_a which_o see_v they_o be_v quarter_n of_o one_o and_o the_o same_o circle_n therefore_o be_v they_o likewise_o equal_v one_o to_o the_o other_o that_o be_v either_o contain_v 90._o degree_n when_o from_o these_o two_o quarter_n the_o common_a ark_n be_v abate_v which_o be_v between_o the_o zenith_n and_o pole_n of_o the_o world_n and_o the_o rest_n of_o the_o equal_n remain_v as_o the_o ark_n which_o be_v from_o the_o equinoctial_a unto_o the_o zenith_n and_o call_v the_o latitude_n of_o the_o place_n and_o the_o ark_n which_o be_v from_o the_o pole_n of_o the_o world_n unto_o the_o horizont_a also_o call_v the_o elevation_n of_o the_o pole_n as_o may_v be_v understand_v of_o the_o former_a viteberge_n that_o be_v of_o 51._o degree_n and_o 50._o minute_n yet_o that_o you_o may_v easy_o find_v and_o know_v the_o elevation_n of_o the_o pole_n of_o your_o city_n or_o town_n you_o must_v first_o obtain_v and_o have_v the_o sun_n meridian_n altitude_n which_o workmanly_o may_v be_v have_v and_o observe_v by_o the_o shadow_n as_o when_o the_o sun_n altitude_n in_o the_o time_n of_o the_o equinoctial_a be_v precise_o of_o 45._o degree_n the_o shadow_n than_o be_v like_a to_o the_o gnomone_n which_o be_v at_o venice_n as_o pliny_n write_v also_o of_o milan_n and_o lion_n for_o the_o sun_n to_o they_o be_v in_o the_o time_n of_o the_o equinoctial_a in_o the_o middle_n of_o the_o quarter_n but_o when_o the_o sun_n altitude_n exceed_v 45._o degree_n then_o be_v the_o shadow_n cause_v lesser_a as_o of_o rome_n where_o the_o sun_n meridian_n altitude_n in_o the_o equinoctial_a be_v of_o 42._o degree_n and_o 10._o minute_n so_o that_o the_o shadow_n be_v there_o short_a also_o pliny_n write_v of_o rome_n that_o the_o nine_o part_n of_o the_o gnomon_n in_o the_o equinoctial_a do_v lack_n of_o the_o noon_n shadow_n but_o when_o the_o sun_n altitude_n be_v lesser_a than_o 45._o degree_n the_o shadow_n of_o the_o gnomon_n be_v cause_v long_o the_o like_a be_v with_o we_o through_o all_o winter_n and_o the_o time_n of_o the_o equinoctial_a for_o we_o see_v the_o shadow_n of_o man_n body_n to_o be_v long_o for_o that_o the_o sun_n altitude_n in_o that_o time_n be_v never_o 45._o degree_n for_o how_o much_o the_o shadow_n be_v long_o than_o the_o half_a part_n of_o the_o quarter_n so_o much_o the_o lesser_a be_v the_o sun_n altitude_n then_o 45._o degree_n as_o of_o viteberge_n in_o the_o 10._o day_n of_o september_n the_o sun_n meridian_n altitude_n be_v then_o of_o 39_o degree_n and_o 21._o minute_n but_o when_o the_o sun_n be_v further_a distant_a by_o the_o 45_o degree_n of_o the_o quarter_n or_o by_o the_o half_a of_o the_o quarter_n then_o ensue_v that_o the_o shadow_n be_v so_o much_o long_a than_o the_o gnomon_n or_o 45_o degree_n for_o the_o noon_n shadow_n in_o the_o 10._o day_n of_o september_n be_v the_o like_a unto_o the_o gnomon_n as_o the_o 50._o degree_n and_o 39_o minute_n be_v unto_o 45._o degree_n here_o you_o see_v how_o by_o the_o meridian_n shadow_n you_o may_v find_v the_o sun_n altitude_n which_o obtain_v you_o shall_v easy_o find_v the_o altitude_n or_o elevation_n of_o the_o pole_n especial_o in_o the_o time_n of_o the_o equinoctial_a for_o the_o sun_n altitude_n then_o from_o the_o whole_a quarter_n that_o be_v from_o 90._o degree_n must_v be_v subtract_v and_o the_o elevation_n of_o the_o pole_n shall_v remain_v and_o appear_v to_o be_v as_o be_v above_o teach_v see_v it_o be_v somewhat_o hard_a to_o find_v the_o height_n of_o the_o pole_n unto_o any_o day_n prescribe_v &_o that_o the_o same_o may_v more_o easy_o and_o sure_a be_v attain_v and_o find_v you_o shall_v use_v this_o table_n here_o follow_v by_o the_o help_n of_o which_o you_o may_v without_o great_a labour_n find_v and_o know_v the_o elevation_n of_o the_o pole_n for_o to_o proceed_v and_o work_v by_o this_o manner_n seek_v first_o the_o sun_n meridian_n altitude_n at_o the_o day_n offer_v either_o by_o a_o astrolaby_n or_o quadrant_a but_o rather_o by_o the_o instrument_n name_v the_o quadrant_a in_o who_o bordure_n be_v 90._o degree_n drown_v or_o write_v express_v by_o reason_n of_o the_o gnomon_n and_o shadow_n upwarde_o after_o seek_v the_o degree_n of_o the_o ecclipticke_a by_o the_o ephemerides_n which_o the_o sun_n obtain_v at_o noon_n of_o the_o day_n offer_v next_o by_o the_o table_n follow_v take_v the_o declination_n of_o the_o degree_n find_v by_o mean_a of_o the_o equinoctial_a if_o the_o sun_n than_o shall_v be_v in_o northerly_a sign_n abate_v or_o subtract_v from_o the_o sun_n altitude_n afore_o find_v but_o if_o in_o southerly_a sign_n then_o add_v unto_o the_o sun_n altitude_n the_o produce_v or_o rest_n be_v the_o elevation_n of_o the_o equinoctial_a which_o abstract_v or_o abate_v from_o the_o whole_a quarter_n that_o be_v from_o 90._o degree_n leave_v &_o show_v the_o elevation_n of_o the_o pole_n as_o in_o the_o 10._o day_n of_o september_n the_o sun_n altitude_n in_o the_o twelve_o hour_n or_o at_o noon_n be_v of_o 39_o degree_n and_o 21._o minute_n to_o find_v this_o elevation_n of_o the_o pole_n i_o enter_v the_o table_n follow_v where_o i_o find_v and_o see_v the_o 27._o degree_n of_o virgo_fw-la to_o have_v the_o declination_n of_o one_o degree_n and_o 11._o minute_n which_o degree_n and_o minute_n see_v they_o be_v in_o the_o northerly_a part_n of_o the_o world_n be_v to_o be_v subtract_v from_o the_o sun_n altitude_n that_o day_n and_o the_o degree_n which_o remain_v be_v 38._o and_o 10._o minute_n the_o altitude_n of_o the_o equinoctial_a that_o day_n which_o subtract_v or_o abate_v from_o the_o whole_a quarter_n that_o be_v from_o 90._o degree_n the_o elevation_n of_o the_o pole_n which_o remain_v be_v 51._o degree_n and_o 50._o minute_n this_o table_n of_o the_o sun_n declination_n contain_v the_o number_n of_o the_o degree_n of_o the_o zodiac_n increase_v in_o descend_v on_o the_o left_a hand_n and_o increase_v by_o ascend_v on_o the_o right_a

meridian_n either_o have_v or_o may_v have_v the_o same_o altitude_n from_o the_o horizon_n as_o to_o the_o eye_n be_v offer_v in_o this_o figure_n follow_v where_o a_o b_o d_o c._n be_v the_o meridian_n b_o e_z c._n the_o great_a half_n of_o the_o parallel_n of_o the_o horizon_n f_o g._n the_o least_o b._n the_o north_n and_o c._n the_o south_n a._n the_o point_n of_o the_o top_n o._n or_o q._n the_o place_n of_o the_o star_n give_v by_o which_o a_o o_o k._n or_o a_o q_o n_z the_o vertical_a circle_n pass_v and_o the_o like_a do_v the_o parallel_n p_o l_o k._n the_o ark_n k_o o._n or_o n_o q._n be_v affirm_v to_o be_v the_o altitude_n or_o elevation_n of_o the_o star_n from_o the_o horizon_n that_o end_v at_o the_o parallel_n p_o o_o l_o r._n and_o p_o o._n be_v the_o distance_n of_o the_o star_n from_o the_o noonestead_n a_o p_o d_o c._n now_o when_o the_o star_n by_o the_o motion_n of_o the_o principal_a be_v draw_v unto_o the_o point_n q._n in_o which_o when_o the_o same_o shall_v be_v it_o will_v be_v equal_o distant_a from_o the_o meridian_n circle_n wherefore_o through_o the_o equal_a distance_n of_o the_o parallel_n of_o which_o they_o be_v name_v shall_v the_o ark_n o_o k._n be_v equal_a to_o the_o ark_n n_o q._n of_o this_o proceed_v and_o be_v cause_v that_o in_o the_o hour_n equidistant_a from_o the_o noonestead_n as_o be_v the_o seven_o hour_n before_o noon_n and_o the_o fifte_a hour_n after_o noon_n likewise_o the_o eight_o and_o the_o four_o the_o nine_o and_o the_o third_o the_o ten_o and_o second_o and_o so_o of_o the_o rest_n the_o sun_n obtain_v equal_a elevation_n above_o the_o horizon_n this_o much_o avail_v in_o the_o composition_n or_o make_v of_o dial_n and_o give_v great_a light_n and_o brevity_n to_o the_o same_o practice_n as_o may_v appear_v elsewhere_o but_o the_o vertical_a circle_n in_o the_o solyde_a sphere_n and_o globe_n by_o one_o quarter_n of_o the_o circle_n depend_v of_o the_o vertical_a point_n unto_o the_o horizon_n divide_v into_o 90._o degree_n be_v declare_v the_o hour_n circle_n in_o that_o the_o whole_a work_n of_o dialle_n depend_v upon_o the_o knowledge_n of_o the_o hour_n circle_n it_o be_v therefore_o requisite_a and_o necessary_a to_o entreat_v full_o of_o the_o circle_n distinguisher_n of_o the_o hour_n or_o at_o the_o least_o utter_v a_o brief_a instruction_n of_o this_o first_o you_o shall_v understande_v that_o the_o equatoure_n only_o which_o as_o afore_o teach_v the_o sun_n be_v either_o in_o the_o begin_n of_o aries_n or_o libra_n be_v regular_o move_v aswell_o in_o the_o right_n as_o thwart_v horizone_n and_o thereof_o be_v always_o the_o one_o half_a above_o the_o horizon_n &_o the_o other_o half_o hide_v under_o the_o horizon_n through_o this_o his_o equal_a motion_n or_o regular_fw-la motion_n be_v it_o judge_v worthy_a and_o laudable_a see_v by_o it_o the_o equal_a hour_n as_o well_o by_o day_n as_o night_n be_v attain_v and_o have_v and_o this_o conceive_v that_o there_o be_v twelve_o great_a circle_n understand_v which_o across_o the_o equatoure_n at_o right_a angle_n and_o pass_v by_o both_o the_o pole_n of_o the_o first_o mover_n from_o which_o the_o say_a equatour_n be_v distinguish_v into_o 24._o equal_a part_n which_o be_v call_v the_o distance_n or_o space_n of_o the_o hour_n in_o that_o each_o be_v distant_a from_o other_o by_o 15._o degree_n for_o they_o divide_v the_o vertical_a the_o zodiac_n and_o the_o horizone_n into_o 24._o part_n but_o unequal_o at_o which_o pole_n the_o near_a part_n to_o they_o be_v narow_a than_o those_o which_o be_v and_o draw_v near_o to_o the_o equatour_n and_o that_o these_o may_v clear_a and_o perfect_a be_v understand_v imagine_v yourself_o to_o be_v under_o the_o equatoure_n that_o be_v in_o the_o right_a sphere_n in_o such_o a_o stand_a shall_v the_o half_a meridian_n circle_n be_v the_o line_n of_o the_o twelve_o hour_n and_o the_o half_a horizontal_a circle_n the_o line_n of_o the_o sixth_o hour_n before_o noon_n and_o the_o other_o half_n of_o it_o the_o line_n of_o the_o sixth_o hour_n at_o after_o noon_n by_o which_o imagination_n firm_o conceive_v may_v a_o man_n imagine_v between_o the_o half_a horizontall_a circle_n and_o the_o half_a meridian_n circle_n to_o be_v other_o five_o half_a circle_n firm_a and_o immovable_a which_o be_v not_o move_v but_o as_o the_o vertical_a point_n be_v move_v be_v distant_a each_o from_o other_o by_o a_o equal_a distance_n as_o by_o 15._o degree_n of_o the_o equatour_n the_o first_o after_o the_o horizon_n be_v apply_v to_o the_o seven_o hour_n &_o so_o forth_o of_o the_o rest_n and_o in_o like_a manner_n between_o the_o meridian_n half_a circle_n and_o the_o occidental_a horizone_fw-fr be_v other_o five_o circle_n understand_v according_a to_o the_o fourmer_n division_n and_o that_o which_o follow_v the_o meridian_n shall_v be_v apply_v to_o the_o first_o hour_n that_o which_o next_o follow_v to_o the_o second_o hour_n and_o so_o forth_o of_o the_o other_o beside_o imagine_v the_o sun_n to_o ascend_v from_o the_o horizon_n and_o when_o he_o shall_v be_v come_v unto_o the_o first_o half_a circle_n from_o the_o horizon_n then_o shall_v he_o shed_v a_o shadow_n further_a westward_o and_o be_v draw_v up_o unto_o the_o second_o shall_v make_v a_o short_a shadow_n and_o the_o shadow_n shall_v always_o until_o the_o sun_n be_v come_v unto_o the_o half_a noonestéede_o circle_n where_o he_o shed_v or_o send_v a_o shadow_n plum_n down_o right_a to_o the_o earth_n but_o descend_v from_o the_o noonstéede_o unto_o the_o west_n the_o sun_n cause_v then_o the_o like_a shadow_n contrary_a further_o conceive_v that_o the_o exetrée_n of_o the_o world_n in_o who_o pole_n as_o be_v afore_o teach_v all_o the_o hour_n circle_n meet_v together_o in_o one_o do_v perform_v &_o express_v the_o same_o which_o the_o foresay_a circle_n teach_v as_o by_o the_o sun_n dial_n the_o like_a be_v ready_o understand_v and_o know_v the_o circle_n devide_v the_o twelve_o house_n of_o heaven_n now_o rest_v to_o entreat_v of_o the_o circle_n distinguisher_n of_o the_o house_n and_o the_o circle_n of_o the_o position_n but_o first_o i_o will_v write_v of_o the_o distinguisher_n of_o the_o house_n as_o there_o be_v six_o circle_n that_o be_v imagine_v of_o the_o astronomer_n by_o which_o heaven_n be_v divide_v into_o twelve_o part_n among_o which_o be_v the_o horizone_n and_o meridian_n whereby_o the_o whole_a be_v divide_v into_o four_o equal_a part_n and_o those_o twelve_o part_n be_v of_o the_o astronomer_n call_v mansion_n or_o house_n but_o as_o touch_v the_o constitution_n and_o form_n of_o the_o celestial_a house_n there_o be_v sundry_a old_a and_o late_a opinion_n but_o whether_o opinion_n be_v the_o worthy_a or_o to_o be_v the_o rather_o allow_v be_v not_o here_o mente_fw-la to_o be_v stand_v upon_o nor_o apt_o belong_v to_o the_o matter_n i_o entreat_v of_o so_o well_o as_o in_o the_o proper_a place_n be_v agree_v yet_o certain_a and_o especial_o the_o ancient_a which_o be_v campanus_n a_o singular_a mathematician_n and_o astronmer_n divide_v the_o house_n by_o the_o five_o circle_n of_o heaven_n meeting_n an●_n join_v at_o the_o pole_n of_o the_o world_n from_o which_o they_o divide_v the_o whole_a heaven_n together_o with_o the_o meridiane_n into_o twelve_o equal_a house_n but_o for_o a_o better_a and_o ready_a instruction_n they_o form_v and_o draw_v they_o in_o this_o manner_n after_o the_o four_o principal_a quarter_n or_o angle_n of_o heaven_n be_v draw_v and_o that_o the_o right_a ascension_n of_o the_o middle_n of_o heaven_n be_v have_v then_o be_v the_o part_n of_o the_o zodiac_n diligent_o consider_v that_o occupy_v as_o well_o the_o easterly_a as_o the_o westerly_a horizone_n and_o then_o be_v the_o right_a ascension_n seek_v of_o those_o part_n which_o be_v do_v the_o constitution_n and_o make_n of_o the_o two_o house_n in_o the_o easterly_a part_n of_o heaven_n be_v the_o right_a ascension_n of_o the_o mid_a heaven_n deduct_v from_o the_o right_a ascension_n of_o the_o horizone_n and_o the_o remayner_n be_v distribute_v into_o three_o equal_a part_n in_o the_o bind_v of_o the_o first_o part_n in_o account_v from_o the_o noonstéed_n towards_o the_o east_n be_v there_o imagine_v a_o circle_n for_o the_o begin_n of_o the_o eleven_o house_n but_o in_o the_o bind_v of_o the_o second_o part_n from_o the_o noonestéede_o be_v the_o beginning_n of_o the_o twelve_o house_n place_v after_o in_o the_o bind_v of_o the_o three_o part_n from_o the_o noonstéed_n be_v the_o beginning_n of_o the_o first_o house_n draw_v and_o the_o like_a be_v wrought_v and_o do_v in_o search_v for_o the_o 2._o westerly_a house_n as_o the_o nine_o and_o the_o eight_o house_n for_o they_o deduct_v and_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

office_n of_o the_o celestial_a circle_n be_v these_o 1_o that_o they_o divide_v heaven_n into_o certain_a space_n or_o region_n 2_o the_o course_n of_o the_o planet_n the_o firmament_n and_o first_o mover_n by_o the_o help_n of_o these_o circle_n be_v observe_v and_o bring_v unto_o a_o rule_n 3_o they_o show_v the_o point_n of_o rise_v and_o set_v the_o nearness_n and_o difference_n both_o of_o day_n and_o night_n 4_o the_o time_n and_o variety_n of_o all_o the_o celestial_a appearance_n may_v be_v observe_v and_o know_v of_o the_o circle_n by_o a_o certain_a reason_n the_o six_o great_a circle_n be_v number_v by_o name_n stand_v and_o use_v distinguish_v as_o the_o equinoctial_a zodiac_n colour_n of_o the_o equinoctial_o colour_n of_o the_o solstice_n meridiane_a horizont_fw-fr but_o there_o be_v many_o other_o as_o the_o circle_n define_v or_o describe_v by_o the_o pole_n of_o the_o zodiac_n and_o centre_n of_o the_o star_n which_o be_v name_v the_o circle_n of_o the_o latitude_n the_o circle_n draw_v by_o the_o verticial_a point_n of_o diverse_a place_n which_o may_v be_v name_v the_o circle_n of_o the_o distance_n or_o space_n between_o place_n for_o that_o the_o top_n do_v knit_v or_o join_v together_o by_o the_o nigh_a space_n of_o the_o difference_n of_o place_n and_o do_v show_v the_o distance_n of_o they_o the_o circle_n by_o the_o centre_n of_o the_o star_n and_o pole_n of_o the_o world_n draw_v be_v name_v the_o circle_n of_o the_o declination_n of_o the_o star_n the_o six_o circle_n of_o the_o position_n through_o which_o by_o the_o thirty_o part_n of_o the_o equatoure_n and_o the_o point_n touch_v of_o the_o horizont_n and_o meridian_n draw_v over_o the_o equatoure_n do_v regiomontane_n part_n and_o divide_v the_o whole_a heaven_n into_o twelve_o equal_a space_n which_o he_o name_v the_o house_n of_o heaven_n the_o six_o great_a circle_n through_o which_o by_o the_o pole_n of_o the_o zodiac_n and_o the_o thirty_o part_n of_o the_o same_o bend_a and_o wrythe_v do_v julius_n firmicus_n divide_v the_o zodiac_n into_o twelve_o equal_a part_n but_o the_o equatoure_n into_o as_o many_o unequal_a ark_n but_o that_o former_a distribution_n and_o dispose_n of_o the_o circle_n by_o regiomontane_n both_o devise_v and_o demonstrate_v of_o he_o do_v bring_v and_o cause_v a_o reason_n of_o the_o frame_n of_o the_o figure_n of_o heaven_n which_o they_o name_v rational_a in_o that_o the_o same_o invent_a and_o teach_v by_o principle_n and_o demonstration_n be_v declare_v by_o certain_a reason_n the_o other_o invent_v and_o exercise_v of_o other_o do_v bring_v and_o cause_v another_o reason_n of_o the_o form_n and_o erect_v of_o the_o figure_n of_o heaven_n which_o of_o the_o same_o they_o name_v the_o equal_a manner_n in_o that_o it_o part_v or_o devide_v the_o zodiac_n into_o equal_a ark_n many_o other_o circle_n there_o be_v which_o for_o brevity_n be_v here_o overpass_o for_o that_o they_o belong_v not_o unto_o this_o determine_a treatise_n of_o the_o principle_n the_o lesser_a circle_n although_o there_o be_v in_o a_o manner_n infinite_a of_o they_o yet_o be_v there_o four_o only_o recite_v and_o especial_o know_v which_o also_o be_v name_v parallel_n as_o the_o tropic_n of_o cancer_n tropic_n of_o capricorn_n the_o arctic_a or_o northerly_a circle_n the_o antarctic_a of_o the_o four_o great_a circle_n afore_o write_v they_o both_o be_v movable_a and_o be_v continual_o draw_v about_o with_o the_o first_o mover_n and_o never_o change_v but_o the_o two_o nether_a circle_n as_o the_o meridiane_a and_o horizont_a do_v remain_v and_o abide_v fix_v and_o immovable_a in_o the_o go_n about_o of_o heaven_n and_o the_o stand_v always_o change_v on_o the_o earth_n toward_o what_o quarter_n soever_o they_o be_v vary_v as_o they_o may_v be_v and_o be_v in_o a_o manner_n infinite_a in_o number_n the_o astronomer_n divide_v both_o the_o great_a and_o lesser_a circle_n into_o 360._o degree_n which_o they_o so_o name_v through_o the_o sun_n passage_n or_o journey_n in_o the_o zodiac_n measure_v and_o define_v by_o his_o daily_a course_n such_o like_a part_n and_o space_n and_o of_o these_o part_n or_o degree_n of_o the_o great_a circle_n it_o be_v find_v and_o know_v that_o each_o degree_n contain_v in_o the_o upper_a face_n of_o the_o earth_n either_o 62500._o pace_n or_o 500_o furlong_n or_o 15._o german_a mile_n but_o each_o part_n of_o the_o lesser_a circle_n do_v comprehend_v a_o lesser_a space_n by_o somuch_o as_o by_o how_o much_o more_o from_o the_o magnitude_n of_o the_o parallel_n which_o be_v the_o middle_n and_o great_a by_o reason_n of_o the_o distance_n they_o lack_v or_o differ_v and_o each_o of_o the_o three_o hundred_o threescore_o degree_n be_v also_o part_v or_o divide_v into_o three_o score_n minute_n and_o each_o minute_n into_o three_o score_n second_o and_o each_o second_o into_o three_o score_n three_o and_o so_o forth_o from_o three_o unto_o fourthe_n and_o so_o unto_o ten_o they_o distribute_v they_o the_o description_n name_n and_o utility_n of_o the_o equinoctial_a the_o equinoctial_a which_o the_o greek_n name_n 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d be_v a_o great_a circle_n place_v in_o the_o middle_a place_n of_o the_o sphere_n between_o either_o pole_n of_o the_o world_n and_o devide_v both_o by_o equal_a space_n movable_a and_o cross_v the_o zodiac_n in_o two_o point_n which_o when_o the_o sun_n do_v come_v unto_o he_o than_o cause_v a_o like_a day_n and_o night_n throughout_o the_o earth_n whereof_o this_o circle_n first_o purchase_v that_o name_n in_o that_o the_o day_n be_v equal_a to_o the_o night_n which_o happen_v twice_o in_o the_o year_n as_o in_o the_o beginning_n and_o entrance_n of_o the_o sun_n both_o into_o aries_n and_o libra_n and_o a_o straight_a line_n draw_v out_o by_o imagination_n do_v describe_v this_o circle_n reach_v out_o of_o the_o centre_n of_o the_o earth_n by_o the_o centre_n of_o the_o sun_n body_n on_o a_o plain_a or_o flat_a of_o the_o equinoctial_a be_v unto_o the_o first_o mover_n or_o unto_o any_o of_o the_o fix_a star_n to_o the_o equatoure_n fasten_v to_o the_o eight_o sphere_n as_o that_o either_o of_o they_o which_o with_o the_o third_o be_v somewhat_o low_o and_o darck_a do_v fashion_n the_o girdle_n of_o orione_n and_o that_o by_o a_o daily_a and_o continual_a turn_v draw_v about_o of_o the_o first_o mover_n until_o the_o same_o be_v return_v unto_o the_o place_n from_o whence_o it_o begin_v and_o likewise_o the_o sun_n or_o any_o other_o constellation_n place_v or_o be_v in_o it_o do_v in_o every_o region_n describe_v the_o half_a of_o the_o parallel_n above_o the_o horizont_n and_o the_o other_o half_a under_o the_o horizont_n which_o ptolemy_n name_v the_o circle_n of_o the_o equatoure_n of_o the_o day_n and_o alphraganus_n the_o circle_n of_o the_o equinoctial_a and_o swath_n or_o girdle_n of_o the_o first_o mover_n in_o that_o it_o compass_v about_o the_o first_o mover_n as_o strabo_n write_v that_o it_o part_v the_o northerly_a half_a sphere_n from_o the_o southerly_a for_o this_o great_a circle_n of_o the_o first_o mover_n be_v the_o first_o measurer_n both_o of_o time_n and_o motion_n in_o that_o it_o cause_v the_o proportional_a cyrcumference_n by_o the_o space_n of_o time_n and_o while_o it_o be_v once_o draw_v about_o a_o natural_a day_n be_v perform_v and_o while_o the_o compass_n also_o of_o the_o whole_a have_v move_v one_o four_o and_o twenty_o part_n a_o equal_a or_o equinoctial_a hour_n have_v pass_v by_o which_o it_o do_v evident_o appear_v that_o this_o circle_n belong_v unto_o the_o first_o mover_n this_o worthy_a circle_n have_v diverse_a name_n 1_o it_o be_v name_v the_o equinoctial_a in_o that_o it_o cause_v a_o like_a night_n to_o the_o artificial_a day_n 2_o it_o be_v by_o the_o same_o reason_n na_fw-mi med_n the_o equatoure_n for_o that_o it_o make_v equal_v the_o night_n to_o the_o day_n 3_o it_o be_v name_v the_o girdle_n of_o the_o first_o mover_n not_o unproper_o for_o that_o as_o a_o girdle_n do_v gird_v or_o divide_v our_o body_n into_o two_o equal_a half_n even_o so_o this_o circle_n devide_v the_o sphere_n or_o first_o mover_n by_o the_o middle_n 4_o it_o be_v name_v the_o line_n of_o the_o equality_n of_o the_o day_n or_o the_o line_n of_o the_o equation_n of_o the_o orb_n of_o the_o day_n or_o the_o just_a division_n of_o the_o day_n and_o night_n 5_o of_o pliny_n it_o be_v name_v the_o centre_n of_o the_o earth_n and_o that_o not_o incongruent_o see_v all_o the_o parallel_n circle_n describe_v from_o the_o centre_n of_o the_o sun_n by_o the_o motion_n of_o the_o first_o mover_n have_v their_o centre_n from_o the_o centre_n of_o the_o earth_n and_o that_o the_o equatour_n only_o which_o when_o the_o sun_n shall_v be_v in_o the_o

but_o especial_o at_o noon_n in_o every_o week_n be_v well_o perceive_v to_o descend_v and_o go_v low_o and_o low_o until_o he_o become_v unto_o the_o tropic_n of_o capricorn_n or_o the_o winter_n circle_n where_o he_o turn_v again_o as_o you_o may_v plain_o learn_v and_o understand_v by_o the_o former_a description_n of_o that_o circle_n the_o tropic_n of_o capricorn_n be_v a_o lesser_a circle_n and_o one_o of_o the_o natural_a circle_n which_o be_v by_o the_o like_a space_n distant_a from_o the_o equatoure_n into_o the_o south_n and_o describe_v of_o the_o sun_n in_o the_o begin_n of_o capricorn_n as_o be_v uttermost_a towards_o the_o south_n which_o be_v the_o bind_v of_o the_o sun_n great_a departure_n from_o we_o and_o of_o his_o long_a digression_n unto_o the_o south_n that_o he_o define_v and_o make_v this_o circle_n also_o be_v call_v the_o winter_n solstice_n and_o winter_n tropic_n in_o that_o when_o the_o sun_n come_v into_o this_o circle_n it_o be_v present_o winter_n that_o be_v the_o short_a day_n of_o the_o year_n also_o the_o less●●_n portion_n of_o this_o circle_n be_v to_o we_o above_o the_o horizone_n and_o the_o great_a beneath_o or_o under_o the_o horizon_n beside_o the_o sun_n journey_n end_v at_o the_o south_n and_o cross_v or_o devide_v both_o the_o burn_a and_o temperate_a southerly_a zone_n the_o brumal_a or_o winter_n tropic_n as_o write_v proclus_n that_o be_v further_a towards_o the_o south_n of_o all_o those_o which_o the_o sun_n describe_v by_o his_o draw_v about_o of_o the_o first_o mover_n into_o which_o when_o the_o sun_n fall_v he_o cause_v his_o winterly_a return_n so_o that_o the_o long_a night_n of_o the_o year_n and_o short_a day_n be_v at_o that_o time_n procure_v from_o which_o he_o go_v no_o further_a towards_o the_o south_n but_o return_v unto_o the_o contrary_a quarter_n of_o the_o world_n and_o hereof_o this_o circle_n be_v call_v a_o tropic_n or_o circle_n of_o return_n now_o these_o three_o be_v principal_o note_v the_o equatour_n and_o the_o two_o tropicke_n for_o the_o course_n of_o the_o sun_n that_o the_o instruction_n of_o the_o two_o tropic_n afore_o speak_v of_o may_v more_o perfect_o be_v understand_v conceive_v this_o figure_n here_o demonstrate_v in_o which_o a_o h_z b_o e._n be_v the_o meridian_n a_o d_o b._n the_o right_a horizone_n d._n the_o centre_n of_o the_o principal_a a._n the_o northerly_a pole_n b._n the_o southerly_a pole_n g_o d_o c._n the_o circle_n of_o the_o zodiac_n h_o d_o e._n the_o equatour_n which_o here_o be_v mean_v to_o be_v abate_o describe_v when_o the_o sun_n shall_v be_v in_o the_o centre_n of_o the_o earth_n or_o in_o the_o true_a section_n of_o the_o equatoure_n and_o zodiac_n as_o in_o the_o letter_n d._n from_o which_o point_n when_o the_o sun_n return_v towards_o the_o northerly_a pole_n a._n under_o the_o circle_n g_o d_o c._n he_o than_o describe_v in_o each_o day_n by_o the_o motion_n of_o the_o first_o mover_n each_o parallel_n until_o he_o be_v come_v in_o the_o meridiane_a unto_o the_o point_n g_o from_o which_o he_o can_v not_o further_o ascend_v towards_o our_o zenith_n in_o the_o meridian_n of_o which_o in_o the_o same_o day_n the_o sun_n describe_v g_o f._n the_o parallel_n to_o the_o equatour_n which_o be_v call_v the_o tropic_n of_o cancer_n in_o that_o the_o sun_n begin_v from_o this_o place_n to_o approach_v or_o draw_v near_o to_o the_o equatoure_n unto_o which_o when_o the_o sun_n shall_v come_v he_o than_o descend_v unto_o the_o nether_a half_a sphere_n in_o the_o half_a circle_n d_o c._n he_o be_v come_v again_o unto_o the_o point_n c_o do_v from_o his_o centre_n by_o the_o motion_n of_o the_o principal_a or_o first_o mover_n in_o the_o pole_n of_o the_o world_n describe_v the_o parallel_n c_o i._n that_o be_v the_o tropic_n of_o capricorn_n the_o polare_fw-la circle_n be_v two_o of_o the_o lesser_a circle_n near_o to_o the_o pole_n of_o the_o world_n be_v alike_o equal_a distant_a to_o the_o equatour_n which_o upon_o the_o pole_n of_o the_o equatour_n describe_v be_v draw_v by_o the_o pole_n of_o the_o zodiac_n and_o these_o be_v name_v the_o polare_fw-la circle_n in_o that_o they_o be_v near_o to_o the_o pole_n of_o which_o that_o near_o to_o the_o pole_n arctic_a be_v call_v the_o arctic_a circle_n of_o the_o great_a or_o lesser_a bear_n draw_v in_o it_o or_o for_o that_o this_o circle_n be_v describe_v about_o the_o pole_n arctic_a the_o other_o that_o be_v right_a against_o be_v name_v the_o antarctic_a circle_n in_o that_o it_o be_v draw_v about_o the_o antarctic_a pole_n or_o thus_o the_o arctic_a be_v a_o lesser_a circle_n which_o the_o northerly_a pole_n of_o the_o zodiac_n be_v so_o far_o distant_a from_o the_o pole_n arctic_a of_o the_o world_n as_o be_v the_o sun_n great_a declination_n or_o as_o proclus_n write_v that_o the_o before_o foot_n of_o the_o great_a bear_n by_o the_o daily_a motion_n form_v the_o same_o circle_n after_o the_o mind_n of_o the_o learned_a be_v distant_a from_o the_o equatour_n 66._o degree_n and_o 30._o minute_n almost_o to_o who_o this_o altitude_n be_v high_a by_o 23._o degree_n and_o almost_o 29._o minute_n to_o those_o part_n of_o the_o earth_n be_v the_o pole_n arctic_a extaunt_a in_o sight_n and_o continual_o appear_v it_o also_o seclude_v and_o part_v the_o untemperate_a northerly_a zone_n from_o the_o next_o temperate_a zone_n where_o the_o solsticiall_a tropic_n be_v make_v the_o northerly_a circle_n and_o in_o that_o place_n under_o this_o altitude_n of_o the_o pole_n 66._o degree_n and_o 31._o minute_n there_o all_o the_o star_n and_o image_n contain_v from_o the_o solsticiall_a tropic_n unto_o the_o pole_n be_v see_v as_o both_o the_o bear_n the_o dragon_n cepheus_n cassiopia_n perseus_n auriga_fw-la or_o the_o carter_n whole_a boötes_n except_o from_o the_o knee_n downward_o the_o crown_n hercules_n except_o the_o head_n and_o right_a arm_n the_o harp_n the_o swan_n the_o great_a horse_n andromeda_n except_o the_o left_a cubit_n the_o half_a of_o the_o northerly_a fish_n almost_o deltoton_n a_o part_n of_o the_o back_n of_o taurus_n the_o neck_n and_o northerly_a horn_n a_o great_a part_n of_o gemini_fw-la and_o the_o head_n and_o neck_n of_o leo._n and_o not_o unlike_a to_o the_o former_a do_v proclus_n describe_v they_o where_o he_o write_v that_o the_o northerly_a circle_n be_v the_o same_o which_o of_o all_o those_o that_o to_o we_o continual_o be_v see_v or_o appear_v be_v for_o truth_n the_o great_a and_o that_o also_o touch_v the_o horizone_n at_o one_o only_a point_n be_v whole_o describe_v above_o the_o earth_n and_o the_o star_n that_o be_v enclose_v within_o this_o circle_n do_v neither_o rise_v nor_o set_v but_o be_v continual_o see_v all_o the_o night_n draw_v about_o the_o pole_n the_o south_n or_o antarctic_n circle_n be_v thus_o define_v of_o he_o that_o the_o same_o be_v equal_a and_o equidistant_a to_o the_o northerly_a or_o arctic_a circle_n and_o touch_v the_o horizon_n at_o one_o point_n the_o whole_a of_o this_o circle_n be_v hide_v under_o our_o horizone_n so_o that_o all_o the_o star_n place_v and_o draw_v in_o it_o abide_v ever_o out_o of_o sight_n to_o us._n the_o like_a description_n that_o the_o antarctic_a parallel_n be_v a_o lesser_a circle_n which_o the_o southerly_a pole_n of_o the_o zodiac_n draw_v about_o as_o it_o be_v by_o the_o daily_a motion_n do_v describe_v about_o the_o southerly_a top_n of_o the_o world_n and_o be_v by_o a_o like_a space_n distant_a from_o the_o equatoure_n and_o the_o antarctic_a pole_n of_o the_o world_n as_o the_o arctic_a be_v from_o his_o opposite_a and_o do_v separate_v or_o divide_v the_o untemperate_a southerly_a zone_n from_o the_o next_o temperate_a zone_n further_o it_o be_v manifest_a that_o the_o distance_n of_o the_o pole_n of_o the_o ecclipticke_a from_o the_o pole_n of_o the_o world_n do_v agree_v with_o the_o great_a bow_v or_o declination_n of_o the_o ecclipticke_a or_o the_o sun_n in_o that_o the_o pole_n from_o their_o circle_n be_v always_o distant_a a_o quarter_n of_o the_o circle_n and_o the_o colour_n of_o the_o solstice_n be_v here_o take_v for_o that_o which_o comprehend_v either_o pole_n and_o when_o the_o quarter_n stand_v between_o the_o pole_n and_o the_o circle_n of_o the_o pole_n be_v in_o themselves_o or_o between_o one_o the_o other_o equal_a as_o the_o ark_n of_o the_o same_o circle_n than_o the_o middle_a ark_n common_a to_o both_o which_o as_o exempt_v go_v between_o the_o pole_n of_o the_o world_n and_o the_o ecclipticke_a and_o so_o part_v and_o leave_v they_o equal_a for_o the_o one_o half_a of_o the_o other_o equal_a ark_n be_v from_o the_o pole_n of_o the_o ecclipticke_a unto_o the_o pole_n of_o the_o world_n and_o the_o other_o be_v

shadow_n for_o with_o they_o the_o nooneshadowe_v continual_o run_v or_o go_v towards_o one_o quarter_n only_o so_o that_o to_o they_o dwell_v northward_o the_o noon_n shadow_n streach_v towarth_a the_o arctic_a or_o northerly_a quarter_n by_o which_o it_o appear_v that_o the_o sun_n never_o ascend_v over_o their_o head_n but_o continual_o cast_v or_o streach_v his_o beam_n thwart_o into_o those_o country_n which_o always_o form_n their_o thwart_a angle_n with_o the_o plain_a of_o the_o earth_n or_o else_o fall_v a-slope_n upon_o the_o earth_n those_o people_n which_o possess_v and_o dwell_v under_o either_o untemperate_a or_o cold_a zone_n be_v name_v of_o the_o greek_a writer_n periskioi_n periscij_fw-la for_o that_o their_o shadow_n in_o one_o artificial_a day_n be_v carry_v and_o run_v round_o as_o it_o be_v about_o they_o on_o the_o plain_a of_o the_o earth_n so_o that_o the_o sun_n unto_o those_o place_n cast_v or_o send_v not_o straight_o thwart_a or_o slope_n but_o long_a beam_n run_v on_o the_o horizone_n which_o as_o they_o stretch_n along_o infinite_o even_o so_o the_o shadow_n go_v and_o lie_v on_o the_o flat_a of_o the_o earth_n and_o extend_v along_o do_v increase_v infinite_o and_o these_o zone_n also_o under_o the_o pole_n extend_v to_o that_o proper_a place_n where_o the_o tropic_n circle_n and_o the_o arctic_a circle_n be_v all_o one_o strabo_n likewise_o write_v that_o the_o cold_a zone_n reach_v to_o that_o place_n where_o the_o tropic_n be_v the_o arctic_a circle_n that_o be_v where_o this_o first_o zone_n end_v and_o the_o temperate_a begin_v the_o pole_n be_v 66._o degree_n and_o a_o half_a above_o the_o horizon_n so_o that_o this_o pole_n must_v be_v from_o the_o top_n of_o their_o head_n in_o that_o place_n 23._o degree_n and_o a_o half_a further_o these_o people_n that_o have_v their_o shadow_n run_v round_o about_o they_o dwell_v within_o the_o polare_fw-la circle_n in_o that_o all_o people_n who_o zenith_n be_v within_o 23._o degree_n and_o a_o half_a of_o any_o of_o both_o the_o pole_n have_v their_o shadow_n compass_v about_o they_o but_o those_o people_n as_o afore_o write_v dwell_v near_o under_o the_o pole_n the_o long_a be_v their_o day_n and_o by_o that_o reason_n do_v the_o shadow_n run_v the_o often_o about_o they_o for_o where_o the_o day_n be_v of_o 24._o hour_n long_o the_o shadow_n do_v run_v but_o once_o about_o yet_o where_o the_o day_n be_v of_o half_a a_o year_n long_o the_o shadow_n do_v run_v 183._o time_n about_o here_o conceive_v that_o there_o be_v five_o zone_n on_o earth_n answer_v to_o the_o five_o celestial_a zone_n both_o in_o the_o heat_n temperatnesse_n and_o cold_a which_o for_o a_o plain_a understanding_n use_v this_o figure_n here_o follow_v demonstrate_v where_o the_o orb_n or_o circle_n describe_v on_o the_o plain_a of_o the_o earth_n be_v distribute_v by_o the_o two_o unknown_a diameter_n into_o four_o equal_a part_n as_o to_o the_o outward_a point_n of_o the_o one_o diameter_n note_v the_o letter_n a_o b._n to_o the_o point_n of_o the_o other_o diameter_n add_v the_o letter_n c_o d._n the_o letter_n c._n the_o northerly_a pole_n and_o the_o letter_n d._n represent_v the_o southerly_a pole_n the_o ark_n of_o the_o orb_n a_o c._n divide_v after_o the_o common_a manner_n into_o 90._o part_n or_o degree_n the_o number_n as_o the_o use_n be_v note_v by_o 5._o 10._o 15._o 20._o 25._o etc._n etc._n and_o beginning_n to_o reckon_v at_o the_o letter_n a._n in_o ascend_v by_o the_o number_n 5._o unto_o the_o letter_n c._n be_v the_o northerly_a pole_n again_o set_v one_o foot_n of_o the_o compass_n unchaunged_a on_o the_o letter_n c._n represent_v the_o northerly_a pole_n and_o with_o the_o other_o open_v make_v a_o point_n of_o the_o one_o side_n and_o after_o on_o the_o other_o side_n in_o draw_v a_o line_n beside_o from_o point_n to_o point_n and_o the_o end_n of_o that_o line_n note_n with_o the_o letter_n ●_o k._n that_o declare_v the_o arctic_a 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