obliquity_n of_o the_o sphere_n what_o be_v the_o axis_fw-la of_o the_o world_n the_o axis_n of_o the_o world_n be_v a_o right_a line_n pass_v by_o the_o centre_n of_o the_o sphere_n and_o limit_v in_o the_o circumference_n about_o the_o which_o the_o sphere_n move_v and_o be_v therefore_o call_v the_o axis_n of_o the_o sphere_n and_o as_o all_o line_n comensurable_a be_v limit_v between_o two_o point_n or_o prick_n so_o be_v the_o axis_n of_o the_o world_n and_o those_o two_o limit_v prick_n be_v call_v the_o pole_n of_o the_o world_n what_o be_v the_o pole_n of_o the_o zodiac_n the_o zodiac_n have_v likewise_o two_o pole_n arctic_a and_o antarctic_a be_v two_o prick_v fix_v in_o the_o firmament_n limit_v the_o axis_n of_o the_o zodiac_n and_o be_v distant_a from_o the_o pole_n of_o the_o world_n 23._o degree_n 28._o minute_n which_o pole_n by_o the_o motion_n of_o the_o sphere_n do_v describe_v the_o polar_a circle_n perform_v their_o motion_n about_o the_o pole_n of_o the_o world_n 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polar_n circle_n the_o arctic_a freeze_a zone_n within_o the_o arctic_a polar_n circle_n and_o the_o antarttck_a freeze_a zone_n within_o the_o antarctic_a polar_a circle_n which_o be_v also_o report_v not_o to_o be_v habitable_a by_o reason_n of_o the_o great_a extremetie_n of_o cold_a suppose_v to_o be_v in_o those_o part_n because_o of_o the_o sun_n far_a distance_n from_o those_o zone_n but_o in_o these_o our_o day_n we_o find_v by_o experience_n that_o the_o ancient_a geographier_n have_v not_o the_o due_a consideration_n of_o the_o nature_n of_o these_o zone_n for_o three_o time_n i_o have_v be_v within_o the_o arctic_a freeze_a zone_n where_o i_o have_v find_v the_o air_n very_o temperate_a yea_o and_o many_o time_n in_o calm_a wether_n marvellous_a hot_a i_o have_v feel_v the_o sun_n beam_n of_o as_o forcible_a action_n within_o the_o freeze_a zone_n in_o calm_n near_o unto_o the_o shore_n as_o i_o have_v at_o any_o time_n find_v within_o the_o burn_a zone_n this_o zone_n be_v also_o inhabit_v with_o people_n of_o good_a stature_n shape_n and_o tractable_a condition_n with_o who_o i_o have_v converse_v and_o not_o find_v they_o rud_o barbarous_a as_o i_o have_v find_v the_o cannibal_n which_o be_v in_o the_o strait_n of_o magilane_n and_o southern_a part_n of_o america_n in_o the_o freeze_a zone_n i_o discover_v a_o coast_n which_o i_o name_v desolation_n at_o the_o first_o view_n thereof_o suppose_v but_o by_o the_o loathsome_a shape_n to_o be_v waste_n and_o desolate_a but_o when_o i_o come_v to_o a_o anchor_n within_o the_o harbour_v thereof_o the_o people_n present_o come_v unto_o i_o without_o fear_n offer_v such_o poor_a thing_n as_o they_o have_v to_o exchange_v for_o iron_n nail_n and_o such_o like_a but_o the_o cannibal_n of_o america_n fly_v the_o presence_n of_o man_n show_v themselves_o in_o nothing_o to_o differ_v from_o brute_n beast_n thus_o by_o experience_n it_o be_v most_o manifest_a that_o those_o zone_n which_o have_v be_v esteem_v desolate_a and_o waste_a be_v habitable_a inhabit_v and_o fruitful_a if_o any_o man_n be_v persuade_v to_o the_o contrary_a of_o this_o truth_n he_o shall_v do_v himself_o wrong_v in_o have_v so_o base_a a_o imagination_n of_o the_o excellency_n of_o god_n creation_n as_o to_o think_v that_o god_n create_v the_o world_n for_o man_n use_n and_o the_o same_o be_v divide_v but_o into_o 5._o part_n 3._o of_o those_o part_n shall_v be_v to_o no_o purpose_n but_o 〈◊〉_d let_v this_o say_n therefore_o of_o the_o prophet_n esaias_n be_v your_o full_a satisfaction_n to_o confirm_v that_o which_o by_o experience_n i_o have_v true_o speak_v for_o thus_o say_v the_o lord_n that_o create_a heaven_n god_n himself_o that_o frame_v the_o earth_n and_o make_v it_o he_o that_o prepare_v it_o he_o create_v it_o not_o in_o vain_a he_o frame_v it_o to_o be_v inhabit_v etc._n etc._n esai_n 45_o 18._o of_o the_o temperate_a zone_n the_o temperate_a arctic_a zone_n be_v include_v between_o the_o tropic_n of_o ♋_o and_o the_o arctic_a polar_a circle_n who_o latitude_n or_o breadth_n be_v 42_o degree_n 2._o miunte_n within_o the_o which_o we_o have_v our_o habitation_n the_o temperate_a antarctic_a zone_n be_v limit_v by_o the_o tropic_n of_o ♑_o and_o the_o aatartick_a polar_a circle_n and_o have_v breadth_n or_o latitude_n 42_o degree_n 2_o minute_n what_o be_v a_o climate_n a_o climate_n be_v the_o space_n or_o difference_n upon_o the_o upper_a face_n of_o the_o earth_n include_v between_o two_o perallell_n wherein_o the_o day_n be_v sensible_o lengthen_v or_o shorten_v half_o a_o hour_n for_o as_o you_o travail_n from_o the_o equator_fw-la towards_o the_o arctic_a pole_n the_o sun_n have_v north_n declination_n the_o day_n do_v grow_v jong_o and_o long_o until_o at_o last_o the_o sun_n not_o set_v under_o the_o
the_o pole_n altitude_n be_v the_o distance_n between_o the_o pole_n and_o the_o horizon_n or_o that_o portion_n of_o the_o meridian_n which_o be_v contain_v between_o the_o pole_n and_o the_o horizon_n the_o altitude_n of_o the_o sun_n above_o the_o horizon_n be_v that_o portion_n of_o the_o circle_n of_o azumuth_n which_o be_v contain_v between_o the_o horizon_n and_o the_o sun_n latitude_n be_v that_o ark_n of_o the_o meridian_n which_o be_v contain_v between_o the_o parallel_n of_o any_o place_n and_o the_o equator_fw-la or_o that_o part_n of_o the_o meridian_n which_o be_v include_v between_o the_o zenith_n and_o the_o equinoctial_a longitude_n be_v that_o portion_n of_o the_o equator_fw-la contain_v between_o the_o meridian_n of_o s._n mihels_n one_o of_o the_o isle_n of_o the_o assone_n and_o the_o meridian_n of_o the_o place_n who_o longitude_n be_v desire_v the_o reason_n why_o the_o account_n of_o longitude_n do_v begin_v at_o this_o i_o will_v be_v because_o that_o there_o 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be_v equal_a the_o one_o to_o the_o other_o whereby_o it_o be_v to_o be_v understand_v that_o the_o centre_n of_o the_o sphere_n be_v so_o even_o place_v in_o his_o midst_n as_o that_o it_o have_v like_o distance_n from_o all_o part_n of_o the_o circumference_n and_o forasmuch_o as_o the_o sphere_n be_v a_o instrument_n demonstrate_v nnto_o we_o the_o nniversall_a engine_n of_o the_o world_n we_o must_v therefore_o understand_v this_o centre_n to_o be_v this_o terrestrial_a globe_n wherein_o we_o have_v our_o be_v which_o compare_v to_o the_o celestial_a globe_n or_o heavenly_a circumference_n do_v bear_v property_n as_o the_o centre_n to_o his_o circle_n which_o earthly_a globe_n by_o the_o divine_a mighty_a workmanship_n of_o god_n do_v admirable_o hang_v upon_o his_o centre_n be_v of_o equal_a distance_n from_o all_o part_n of_o the_o circumference_n what_o be_v the_o distinction_n of_o the_o sphere_n the_o sphere_n be_v distinguish_v by_o ten_o circle_n whereof_o six_o be_v great_a circle_n and_o 4._o be_v lesser_a circle_n whereof_o there_o be_v only_o 8._o describe_v upon_o the_o body_n of_o the_o globe_n limit_v the_o zone_n and_o motion_n of_o the_o planet_n as_o the_o equinoctial_a the_o ecliptic_a the_o equinoctial_a colour_n the_o solsiticial_a colour_n the_o tropic_a of_o cancer_n the_o tropic_a of_o capricorn_n the_o arctic_a polar_a circle_n and_o the_o antarctic_a polar_a circle_n the_o horizon_n and_o meridian_n be_v not_o describe_v upon_o the_o body_n of_o the_o globe_n but_o artificial_o annex_v thereunto_o for_o the_o better_a perfection_n of_o his_o use_n which_o be_v the_o great_a circle_n and_o which_o the_o lesser_a the_o equator_fw-la the_o ecliptic_a the_o 2._o colour_n the_o meridian_n and_o the_o horizon_n be_v great_a circle_n because_o they_o divide_v the_o sphere_n into_o 2._o equal_a part_n the_o 2._o tropic_n the_o 2._o polar_a circle_n be_v lesser_a circle_n because_o they_o divide_v the_o sphere_n into_o 2._o unequal_a part_n what_o 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part_n or_o degree_n which_o be_v the_o degree_n of_o longitude_n begin_v the_o account_n in_o the_o point_n of_o aries_n reckon_v twoard_n the_o east_n conclude_v the_o number_n 360._o in_o the_o place_n where_o the_o first_o account_n begin_v viz_o where_o the_o equator_fw-la do_v intersecte_v the_o ecliptic_a in_o the_o first_o minute_n of_o aries_n under_o which_o meridian_n s._n mihels_n one_o of_o the_o yle_n of_o the_o assores_fw-la be_v to_o be_v place_v in_o the_o geographical_a description_n of_o the_o terrestrial_a globe_n what_o be_v the_o use_n of_o the_o equator_fw-la the_o use_n of_o the_o equinoctial_a be_v to_o know_v the_o declination_n of_o the_o sun_n moon_n &_o star_n whereby_o the_o latitude_n of_o place_n be_v give_v for_o that_o portion_n of_o the_o meridian_n which_o be_v contain_v between_o the_o equator_fw-la and_o the_o centre_n of_o the_o sun_n moon_n or_o star_n be_v their_o declination_n also_o by_o the_o equinoctial_a be_v know_v the_o longitude_n of_o 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and_o two_o mile_n lead_v from_o the_o meridian_n 8._o league_n &_o one_o mile_n noreast_n by_o norht_n raise_v a_o degree_n in_o sail_v 24._o league_n and_o lead_v from_o the_o meridian_n 13._o league_n and_o a_o mile_n noreast_n raise_v a_o degree_n in_o sail_v 28._o league_n and_o a_o mile_n and_o lead_v from_o the_o meridian_n 20._o league_n noreast_n by_o east_n raise_v a_o degree_n in_o sal_v 36_o league_n and_o lead_v from_o the_o meridian_n 30._o league_n east_n noreast_n raise_v a_o degree_n in_o sail_v 52._o league_n and_o mile_n and_o lead_v from_o the_o meridian_n 48._o league_n and_o 2_o mile_n east_n and_o by_o north_n raise_v a_o degree_n in_o sail_v 102._o league_n and_o a_o mile_n and_o lead_v from_o the_o meridian_n 100_o league_n and_o 2_o mile_n east_n and_o west_n do_v not_o raise_v or_o lay_v the_o pole_n but_o keep_v still_o in_o the_o same_o perallell_n the_o like_a allowance_n be_v to_o be_v give_v to_o every_o quarter_n of_o the_o compass_n as_o be_v lay_v 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you_o know_v the_o meridional_a distance_n between_o your_o zenith_n and_o the_o sun_n of_o starresa_n which_o by_o your_o cross_a staff_n or_o astrolabye_n be_v give_v the_o second_o that_o the_o declinaiton_n be_v true_o know_v at_o the_o time_n of_o pour_fw-fr observation_n and_o the_o other_o three_o be_v that_o you_o consider_v whether_o your_o zenith_n be_v beweene_v the_o equinoctial_a and_o the_o sun_n or_o star_n or_o whether_o the_o equinoctial_a be_v between_o your_o zenith_n and_o they_o or_o whether_o they_o be_v between_o your_o zenith_n and_o the_o equator_fw-la for_o there_o be_v a_o several_a order_n of_o work_v upon_o each_o of_o these_o three_o difference_n latitude_n you_o must_v also_o know_v that_o so_o much_o as_o the_o pole_n be_v above_o the_o horizon_n so_o much_o be_v the_o zenith_n from_o the_o equinoctial_a and_o this_o distance_n between_o the_o zenith_n and_o the_o equator_fw-la be_v call_v latitude_n or_o wideness_n and_o be_v that_o portion_n of_o the_o 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equinoctial_a the_o latitude_n be_v thus_o find_v in_o what_o part_n of_o the_o world_n soever_o you_o be_v first_o place_n the_o cross_a staff_n to_o your_o eye_n in_o such_o good_a sort_n as_o that_o there_o may_v grow_v no_o error_n by_o the_o disorderly_a use_v thereof_o for_o unless_o the_o centre_n of_o your_o staff_n and_o the_o centre_n of_o your_o sight_n do_v join_v together_o in_o your_o observation_n it_o will_v be_v erroneous_a whatsoever_o you_o conclude_v thereby_o your_o staff_n so_o order_v then_o move_v the_o transuersary_n upon_o your_o staff_n to_o and_o fro_o as_o occasion_n require_v until_o at_o one_o &_o the_o same_o instant_n you_o may_v see_v by_o the_o upper_a edge_n of_o your_o transuersary_n half_o the_o body_n of_o the_o sun_n or_o star_n and_o that_o low_a
edge_n or_o end_n thereof_o do_v likewise_o touch_v the_o horizon_n at_o that_o place_n where_o it_o seem_v that_o the_o sky_n and_o sea_n be_v join_v have_v especial_a regard_n in_o this_o your_o observation_n that_o you_o hold_v the_o transuersary_n as_o direct_o upright_o as_o possible_o you_o may_v and_o you_o must_v begin_v this_o observation_n somewhat_o before_o the_o sun_n or_o star_n be_v at_o south_n and_o continue_v the_o same_o so_o long_o as_o you_o perceive_v that_o they_o rise_v for_o when_o they_o be_v at_o the_o high_a than_o be_v they_o upon_o the_o meridian_n and_o then_o you_o have_v the_o meridional_a altitude_n which_o you_o seek_v at_o which_o time_n they_o will_v be_v due_a south_n from_o you_o if_o your_o compass_n be_v good_a and_o without_o variation_n and_o then_o do_v the_o transuersary_n they_o upon_o the_o staff_n the_o degree_n and_o minute_n that_o the_o say_a body_n in_o from_o your_o zenith_n if_o the_o degree_n of_o your_o instrument_n be_v number_v 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for_o example_n in_o the_o year_n of_o our_o lord_n 1593._o the_o 3._o day_n of_o march_n the_o sun_n be_v then_o between_o my_o zenith_n and_o the_o equinoctial_a i_o observe_v the_o sun_n meridional_a altitude_n from_o the_o horizon_n to_o be_v 72._o deg_fw-la and_o 20._o min._n but_o because_o i_o must_v know_v the_o distance_n of_o the_o sun_n from_o my_o zenith_n i_o therefore_o subtract_v 72._o deg_fw-la 20._o min._n from_o 90._o deg_fw-la and_o there_o remain_v 17._o deg_fw-la 40._o min._n the_o distance_n of_o the_o sun_n from_o my_o zenith_n to_o that_o distance_n i_o add_v the_o sun_n declination_n for_o that_o day_n which_o by_o my_o regiment_n i_o find_v to_o be_v â—_o degree_n of_o south_n declination_n and_o it_o ameunt_v unto_o 20._o deg_fw-la 40._o min._n so_o much_o be_v the_o south_n pole_n above_o the_o horizon_n and_o so_o much_o be_v my_o zenith_n south_n from_o the_o equinoctial_a because_o the_o sun_n have_v south_n declination_n and_o be_v between_o i_o and_o equinoctial_a therefore_o of_o necessity_n the_o antarctic_a pole_n must_v be_v above_o my_o horizon_n 89_o 60_o the_o distance_n between_o the_o zenith_n and_o the_o horizon_n 72_o 20_o the_o sun_n altitude_n 17_o 40_o the_o sun_n do_v from_z the_o zen._n 3_o 00_o sun_n declination_n 20_o 40_o poles_n height_n when_o the_o equinoctial_a be_v between_o your_o zenith_n and_o the_o sun_n or_o star_n the_o latitude_n be_v thus_o find_v in_o all_o place_n by_o your_o instrument_n as_o before_o be_v teach_v you_o must_v seek_v the_o meridional_a distance_n of_o the_o sun_n or_o star_n from_o your_o zenith_n which_o be_v know_v subtract_v the_o declination_n of_o the_o sun_n or_o star_n from_o the_o say_a distance_n and_o the_o remain_a number_n be_v the_o pole_n height_n or_o latitude_n which_o you_o seek_v example_n the_o 20._o of_o october_n 1593._o i_o fitnde_v by_o my_o instrument_n that_o the_o sun_n be_v 60_o deg_fw-la 45._o min._n from_o the_o zenith_n at_o noon_n be_v then_o upon_o the_o meridian_n the_o equator_fw-la be_v then_o between_o my_o zenith_n and_o the_o sun_n i_o also_o find_v by_o my_o regiment_n that_o at_o that_o time_n the_o sun_n have_v 13._o deg_fw-la 47._o min._n of_o south_n declination_n because_o the_o equinoctial_a be_v between_o i_o and_o the_o sun_n therefore_o i_o subtract_v the_o sun_n declination_n from_o the_o observe_v distance_n and_o there_o rest_v 46_o deg_fw-la 58._o min._n latitude_n desire_v and_o because_o the_o sun_n have_v south_n declination_n and_o the_o equinoctial_a be_v between_o i_o and_o the_o sun_n therefore_o i_o may_v conclude_v that_o the_o pole_n arctic_a be_v 46._o deg_fw-la 58._o min._n above_o my_o horizon_n or_o that_o my_o zenith_n be_v so_o much_o towards_o the_o north_n from_o the_o equator_fw-la g_o m_o 59_o 15_o the_o sun_n distance_n 13_o 47_o the_o declination_n 46_o 58_o the_o latitude_n when_o your_o zenith_n be_v between_o the_o sun_n or_o star_n and_o the_o equinoctial_a the_o latitude_n be_v thus_o find_v by_o your_o instrument_n as_o in_o the_o first_o example_n be_v show_v you_o must_v observe_v the_o meridional_a distance_n of_o the_o sun_n or_o star_n from_o your_o zenith_n you_o must_v also_o by_o your_o regiment_n or_o other_o table_n search_v to_o know_v the_o declination_n of_o that_o body_n which_o you_o observe_v then_o subtract_v the_o observe_v distance_n from_o pour_fw-fr zenith_n out_o of_o the_o declination_n and_o the_o remain_a number_n be_v the_o latitude_n desire_v example_n the_o sun_n have_v 20._o deg_fw-la of_o north_n declination_n and_o be_v upon_o the_o meridian_n be_v 5._o deg_fw-la 9_o min._n from_o my_o zenith_n i_o therefore_o subtract_v 5._o deg_fw-la 9_o min._n from_o 20._o deg_fw-la and_o there_o rest_v 14._o deg_fw-la 51._o min_fw-mi the_o latitude_n desire_v and_o because_o the_o sun_n have_v north_n declination_n my_o zenith_n be_v between_o the_o sun_n and_o the_o equinoctial_a therefore_o i_o conclude_v that_o the_o north_n pole_n be_v 14._o deg_fw-la 51._o min._n above_o my_o horizon_n g_o m_o 19_o 60_o the_o sun_n distance_n from_o my_o zenith_n 5_o 09_o the_o declination_n 14_o 51_o the_o pole_n height_n how_o shall_v i_o know_v the_o true_a order_n of_o place_v the_o cross_a sffe_n to_o my_o eye_n to_o anoide_v error_n in_o my_o observation_n to_o find_v the_o true_a place_n of_o the_o staff_n at_o your_o eye_n thereby_o to_o amend_v the_o parallar_n or_o false_a shadow_n of_o your_o sight_n do_v thus_o take_v a_o staff_n have_v two_o cross_n a_o long_a cross_n which_o end_v in_o 30._o degree_n and_o a_o short_a cross_n which_o begin_v at_o 30._o deg_fw-la where_o the_o long_a cross_n end_v put_v the_o long_a cross_n upon_o his_o 30._o deg_fw-la and_o there_o make_v he_o fast_o than_o put_v the_o short_a cross_n like_o wise_a upon_o his_o 30._o de_fw-la there_o fasten_v he_o without_o move_v then_o set_v the_o end_n of_o your_o stasse_fw-la to_o your_o eye_n move_v it_o from_o place_n to_o place_n about_o your_o eye_n until_o at_o one_o instant_a you_o may_v see_v the_o end_n of_o both_o cross_n which_o when_o you_o find_v remember_v that_o place_n and_o the_o stand_n of_o your_o body_n for_o so_o must_v your_o staff_n be_v place_v and_o your_o body_n order_v in_o all_o your_o observation_n be_v these_o all_o the_o rule_n that_o appertain_v to_o the_o find_n of_o the_o pole_n height_n those_o that_o travel_v far_o towards_o the_o north_n under_o who_o horizon_n the_o sun_n set_v not_o shall_v some_o time_n have_v occasion_n to_o seek_v the_o latitude_n by_o the_o sun_n when_o the_o sun_n be_v north_n from_o they_o the_o pole_n be_v then_o between_o the_o sun_n and_o their_o zenith_n when_o such_o observation_n be_v make_v you_o must_v by_o your_o instrument_n seek_v the_o sun_n height_n from_o the_o horizon_n subtract_v that_o height_n from_o his_o declination_n and_o the_o remain_a number_n show_v how_o far_o the_o equinoctial_a be_v under_o the_o horizon_n upon_o the_o point_n north_n for_o so_o much_o be_v the_o oposite_a part_n of_o the_o equator_fw-la above_o the_o horizon_n upon_o the_o point_n south_n subtract_v that_o meridional_a altitude_n of_o the_o equinoctial_a from_o 90._o and_o the_o remain_a number_n be_v the_o pole_n height_n desire_v example_n the_o sun_n have_v 22._o degree_n of_o north_n declination_n his_o altitude_n from_o the_o horizon_n be_v observe_v to_o be_v 3._o degree_n 15._o minute_n therefore_o substract_v 3._o deg_fw-la 15._o min._n from_o 22._o degree_n there_o rest_v 18._o deg_fw-la 45._o min._n which_o be_v the_o distance_n of_o the_o equinoctial_a from_o the_o horizon_n which_o be_v take_v from_o 90._o there_o rest_v 71._o deg_fw-la 15._o min_fw-mi the_o pole_n elevation_n desire_v g_o m_o 22_o 60_o the_o sun_n declination_n 31_o 15_o the_o sun_n altitude_n 18_o 45_o the_o
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the_o centre_n of_o the_o plain_a superficial_a horyson_n what_o be_v the_o use_n of_o the_o horizon_n the_o horizon_n be_v the_o begin_n of_o all_o altitude_n for_o whatsoever_o be_v above_o the_o horizon_n be_v say_v to_o have_v altitude_n more_o or_o less_o and_o by_o the_o horizon_n such_o altitude_n be_v give_v with_o help_n of_o the_o cross_a staff_n for_o place_v the_o cross_a staff_n at_o your_o eye_n if_o by_o the_o one_o end_n of_o the_o transuersary_n you_o see_v the_o horizon_n and_o by_o the_o other_o end_n at_o the_o same_o instant_n you_o see_v the_o body_n observe_v then_o do_v the_o transuersary_n show_v upon_o the_o staff_n the_o altitude_n desire_v by_o the_o horizon_n the_o navigable_a course_n from_o place_n to_o place_n be_v like_o wise_a know_v as_o also_o the_o quantity_n of_o the_o rise_n and_o set_v of_o the_o sun_n moon_n and_o star_n whereby_o be_v know_v the_o length_n of_o the_o day_n and_o night_n in_o all_o climate_n and_o at_o all_o season_n by_o the_o 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the_o meridian_n of_o the_o globe_n there_o be_v a_o piece_n of_o copper_n artificial_o place_v to_o be_v remove_v to_o any_o degree_n of_o the_o meridian_n at_o pleasure_n which_o piece_n of_o copper_n represent_v the_o zenith_n and_o must_v always_o be_v place_v so_o many_o degree_n from_o the_o equator_fw-la as_o the_o pole_n be_v elevate_v from_o the_o horizon_n and_o unto_o this_o zenith_n there_o be_v join_v a_o quarter_n of_o a_o great_a circle_n call_v quarta_fw-la altitudo_fw-la the_o end_n whereof_o do_v continual_o touch_v the_o horizon_n and_o be_v so_o join_v to_o the_o zenith_n as_o that_o it_o may_v be_v move_v round_o upon_o the_o horizon_n and_o to_o every_o part_n thereof_o at_o your_o pleasure_n this_o quarta_fw-la altitudo_fw-la be_v divide_v into_o 90_o degree_n be_v the_o distinction_n of_o all_o altitude_n and_o begin_v the_o account_n from_o the_o horizon_n which_o be_v the_o begin_n of_o altitude_n and_o conclude_v 90_o degree_n in_o the_o zenith_n be_v the_o end_n and_o extreme_a lymite_z of_o all_o altitude_n what_o be_v almicantan_n almicantans_n or_o circle_n of_o altitude_n be_v parallel_a circle_n to_o the_o horizon_n and_o be_v describe_v upon_o the_o zenith_n as_o the_o perallell_n to_o the_o equator_fw-la be_v describe_v upon_o the_o pole_n of_o which_o circle_v there_o be_v 90._o answerable_a to_o the_o distinction_n of_o the_o quarta_fw-la altitudo_fw-la which_o be_v the_o degree_n contain_v between_o the_o horizon_n and_o zenith_n these_o circle_n can_v be_v describe_v upon_o the_o globe_n to_o be_v apply_v to_o every_o horizon_n but_o they_o be_v distinguish_v by_o the_o circular_a motion_n of_o the_o quarta_fw-la altitudo_fw-la fox_n if_o i_o desire_v to_o see_v the_o almicantar_n circle_n of_o 10._o degree_n by_o move_v the_o quarta_fw-la altitudo_fw-la round_o about_o the_o horizon_n the_o zenith_n degree_n of_o their_o quarter_n circle_n do_v show_v the_o almicanter_n desire_v in_o what_o elevation_n soever_o what_o be_v the_o use_n of_o these_o two_o circle_n the_o quarta_fw-la altitudo_fw-la perform_v the_o use_n of_o both_o by_o the_o quartâ—â—_n altitude_n and_o horizon_n the_o course_n from_o place_n to_o place_n be_v know_v according_a to_o the_o true_a horizontall_a position_n as_o hereafter_o shall_v plain_o appear_v it_o also_o show_v the_o degree_n of_o azumuth_n and_o observe_v altitude_n of_o any_o celestial_a body_n in_o what_o latitude_n soever_o by_o the_o quarta_fw-la altitudo_fw-la and_o horizon_n you_o may_v describe_v a_o peradoxall_a compass_n upon_o the_o globe_n the_o pole_n length_n be_v at_o all_o time_n thereby_o to_o be_v know_v and_o the_o variation_n of_o the_o compass_n be_v thereby_o likewise_o give_v as_o hereafter_o in_o the_o practice_n you_o shall_v be_v teach_v what_o be_v the_o arctic_a and_o antarctic_a circle_n every_o horizon_n have_v his_o proper_a arctic_a or_o antarctic_a circle_n those_o orison_n that_o have_v the_o pole_n arctic_a elevate_v above_o they_o 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together_o because_o the_o six_o septentrional_a sign_n be_v within_o their_o arctic_a circle_n the_o equator_fw-la be_v in_o the_o horizon_n etc._n etc._n there_o be_v another_o small_a circle_n which_o be_v call_v ciclus_fw-la horarius_fw-la or_o the_o hour_n circle_n to_o be_v annex_v to_o the_o meridian_n of_o the_o globe_n for_o the_o perfection_n of_o his_o use_n this_o circle_n must_v be_v divide_v into_o 24._o equal_a part_n or_o hour_n and_o those_o again_o into_o such_o part_n as_o you_o please_v for_o the_o better_a distinction_n of_o time_n this_o circle_n must_v be_v fasten_v to_o the_o meridian_n so_o that_o the_o hour_n 12._o must_v stand_v direct_o upon_o the_o edge_n of_o the_o meridian_n and_o the_o pole_n must_v be_v the_o centre_n of_o this_o circle_n upon_o which_o pole_n there_o must_v be_v fasten_v a_o index_n to_o move_v proportionable_o as_o the_o sphere_n upon_o any_o occasion_n shall_v be_v move_v there_o be_v also_o a_o half_a circle_n call_v the_o circle_n of_o position_n which_o since_o it_o serve_v to_o no_o great_a purpose_n for_o navigation_n i_o here_o omit_v and_o thus_o be_v the_o globe_n full_o finish_v for_o the_o perfection_n of_o this_o use_n what_o be_v the_o pole_n of_o the_o world_n there_o be_v two_o pole_n 〈◊〉_d the_o north_n or_o arctic_a pole_n and_o the_o south_n or_o antarctic_a pole_n which_o pole_n be_v two_o movable_a prick_v fix_v in_o the_o firmament_n whereupon_o the_o sphere_n be_v move_v by_o virtue_n of_o the_o first_o mover_n and_o be_v the_o limit_n of_o the_o axis_n of_o the_o world_n as_o also_o the_o extreme_a term_n or_o band_n of_o all_o declination_n be_v 90._o degree_n from_o all_o part_n of_o the_o equator_fw-la by_o the_o raise_n of_o the_o pole_n from_o the_o horizon_n be_v know_v the_o perallell_n or_o latitude_n of_o our_o be_v it_o also_o give_v the_o quantity_n of_o the_o arctic_a circle_n and_o the_o