any_o land_n this_o horizon_n be_v of_o two_o sort_n namely_o right_a and_o oblique_a the_o right_a horizon_n be_v that_o which_o they_o have_v that_o live_v under_o the_o equinoctial_a which_o pass_v by_o their_o zenith_n and_o therefore_o the_o equinoctial_a line_n or_o circle_n fall_v perpendicular_o and_o right_o across_o with_o their_o horizon_n and_o both_o the_o south_n and_o the_o north_n pole_n be_v in_o their_o horizon_n the_o oblique_a horizon_n be_v that_o which_o they_o have_v that_o live_v not_o direct_o under_o the_o equinoctial_a for_o unto_o they_o the_o equinoctial_a divide_v the_o horizon_n oblique_o and_o not_o right_o across_o and_o one_o pole_n be_v always_o above_o their_o horizon_n and_o the_o other_o be_v beneath_o their_o horizon_n and_o can_v be_v see_v this_o horizon_n be_v represent_v in_o the_o sea-chart_n by_o a_o certain_a imagine_a circle_n who_o centre_n be_v the_o point_n where_o our_o ship_n be_v from_o which_o centre_n be_v imagine_v to_o proceed_v unto_o the_o say_a circle_n 32_o line_n which_o represent_v the_o 32_o wind_n or_o rumb_n which_o always_o be_v draw_v in_o our_o sea-compasse_n which_o likewise_o in_o a_o little_a piece_n of_o paper_n do_v continual_o represent_v unto_o we_o both_o by_o day_n and_o night_n the_o whole_a horizon_n with_o his_o 32_o division_n chap._n xvi_o of_o the_o 32_o wind_n this_o right_a or_o oblique_a horizon_n be_v divide_v into_o 32_o equal_a part_n by_o 16_o line_n which_o they_o call_v rumb_n and_o they_o cut_v themselves_o in_o the_o point_n where_o we_o stand_v of_o which_o rumb_n that_o which_o pass_v by_o the_o point_n where_o the_o equinoctial_a begin_v and_o end_v which_o be_v where_o the_o sun_n rise_v and_o set_v the_o 11_o of_o march_n and_o the_o 13_o of_o september_n be_v call_v east_n and_o west_n and_o that_o which_o cut_v it_o right_o across_o be_v name_v north_n and_o south_n and_o the_o four_o extreme_n or_o end_n of_o these_o two_o line_n be_v distant_a upon_o the_o horizon_n one_o four_o part_n of_o a_o circle_n and_o they_o make_v four_o quarter_n every_o one_o of_o which_o quarter_n be_v divide_v in_o the_o midst_n do_v make_v four_o other_o point_n and_o that_o which_o fall_v between_o the_o north_n and_o the_o east_n be_v call_v north-east_n and_o that_o between_o the_o north_n and_o the_o west_n northwest_n that_o between_o the_o south_n and_o the_o east_n southeast_n and_o that_o between_o the_o south_n and_o the_o west_n south-west_n and_o so_o the_o horizon_n be_v divide_v by_o four_o line_n or_o numb_v into_o eight_o principal_a wind_n note_v in_o the_o sea-chart_n with_o black_a line_n and_o if_o you_o divide_v every_o one_o of_o those_o eight_o part_n in_o the_o midst_n you_o shall_v have_v other_o eight_o line_n and_o other_o four_o rumb_n which_o in_o all_o be_v 16_o wind_n and_o each_o one_o of_o these_o have_v his_o name_n compound_v of_o the_o name_n of_o those_o principal_a wind_n which_o be_v on_o either_o side_n thereof_o as_o for_o example_n that_o half_a wind_n which_o be_v between_o the_o north_n and_o the_o north-east_n be_v call_v north-north-east_n and_o that_o which_o blow_v between_o the_o east_n and_o the_o north-east_n be_v call_v east-north-east_n and_o that_o between_o the_o east_n and_o the_o southeast_n east-south-east_n and_o that_o between_o the_o south_n and_o the_o southeast_n south-south-east_n and_o that_o between_o the_o south-west_n and_o the_o west_n west-south-west_n and_o that_o between_o the_o west_n and_o northwest_n west-north-west_n and_o that_o between_o the_o northwest_n and_o the_o north_n north-north-west_n and_o these_o be_v note_v in_o the_o chart_n with_o green_a line_n final_o if_o you_o divide_v every_o one_o of_o these_o sixteen_o wind_n in_o the_o midst_n they_o will_v yield_v you_o other_o 16_o wind_n and_o will_v amount_v to_o 32_o wind_n in_o all_o which_o 16_o last_v mention_v be_v draw_v in_o the_o sea-chart_n with_o red_a line_n and_o be_v by_o the_o spaniard_n call_v quarter_n of_o the_o eight_o first_o and_o principal_a wind_n and_o every_o one_o of_o these_o be_v call_v by_o the_o name_n of_o that_o principal_a wind_n which_o be_v next_o it_o together_o with_o a_o addition_n of_o the_o word_n by_o and_o the_o name_n of_o another_o principal_a wind_n which_o be_v next_o unto_o it_o as_o for_o example_n of_o the_o two_o quarter-wind_n which_o fall_v next_o the_o rumb_n of_o the_o north_n that_o which_o lie_v towards_o the_o north-east_n be_v call_v north_n and_o by_o east_n and_o that_o which_o fall_v towards_o the_o northwest_n be_v call_v north_n by_o west_n so_o likewise_o of_o those_o two_o wind_n which_o blow_n next_o the_o north-east_n that_o towards_o the_o north_n be_v call_v north-east_n and_o by_o north_n and_o that_o towards_o the_o east_n north-east_n and_o by_o east_n and_o after_o the_o same_o manner_n you_o may_v name_v all_o the_o rest_n the_o figure_n of_o the_o sea-compasse_n and_o of_o the_o horizon_n divide_v into_o 32_o wind_n by_o 16_o rumb_n but_o here_o be_v to_o be_v note_v wind_n that_o there_o be_v difference_n between_o the_o rumb_n and_o the_o wind_n because_o a_o rumb_n be_v one_o direct_v line_n continue_v with_o two_o contrary_a wind_n as_o the_o rumb_n of_o north_n &_o south_n and_o the_o rumb_n of_o east_n and_o west_n and_o so_o when_o we_o will_v name_v the_o lie_v of_o any_o coast_n we_o will_v say_v that_o it_o lie_v north_n and_o south_n or_o north_n and_o by_o east_n and_o south_n and_o by_o west_n but_o the_o wind_n be_v one_o line_n of_o those_o 32_o into_o which_o the_o horizon_n be_v divide_v and_o it_o be_v one_o part_n of_o those_o two_o which_o together_o be_v call_v the_o rumb_n and_o so_o we_o say_v that_o land_n lie_v from_o we_o towards_o the_o south_n and_o towards_o the_o south_n and_o by_o west_n or_o towards_o the_o south-south-west_n etc._n etc._n chap._n xvii_o of_o the_o two_o tropic_n beside_o the_o six_o circle_n abovementioned_a which_o be_v draw_v upon_o the_o superficies_n of_o the_o sphere_n of_o the_o world_n there_o be_v other_o two_o which_o the_o sun_n describe_v with_o the_o motion_n of_o the_o primum_fw-la mobile_n about_o the_o 12_o day_n of_o june_n and_o of_o december_n of_o which_o two_o circle_n that_o which_o the_o sun_n describe_v the_o 12_o of_o june_n from_o the_o time_n of_o his_o rise_n till_o the_o time_n that_o he_o rise_v the_o day_n follow_v be_v call_v the_o tropic_a of_o the_o summer_n sun-standing_a or_o the_o tropic_a of_o cancer_n for_o the_o sun_n have_v depart_v from_o the_o equinoctial_a and_o increase_v his_o declination_n towards_o the_o north_n when_o he_o come_v to_o describe_v that_o circle_n for_o two_o or_o three_o day_n it_o seem_v that_o he_o come_v no_o near_o to_o our_o zenith_n nor_o depart_v from_o the_o equinoctial_a one_o day_n more_o than_o another_o but_o from_o thence_o forward_o he_o go_v back_o diminish_v his_o declination_n till_o he_o come_v to_o the_o equinoctial_a and_o cross_v the_o same_o he_o go_v on_o the_o other_o side_n increase_v his_o declination_n until_o the_o 12_o of_o december_n upon_o which_o day_n from_o the_o time_n of_o his_o rise_n till_o he_o be_v come_v about_o to_o rise_v again_o the_o next_o morning_n he_o describe_v another_o circle_n call_v the_o tropic_a of_o the_o winter_n sun-standing_a or_o the_o tropic_a of_o capricorn_n for_o the_o sun_n be_v depart_v from_o the_o equinoctial_a and_o increase_v his_o declination_n towards_o the_o south_n when_o he_o come_v to_o describe_v that_o circle_n it_o seem_v for_o two_o or_o three_o day_n that_o he_o return_v not_o one_o whit_n towards_o the_o equinoctial_a nor_o go_v further_o from_o our_o zenith_n one_o day_n more_o than_o other_o but_o from_o thence_o forward_o he_o come_v back_o again_o diminish_v his_o declination_n till_o he_o be_v return_v to_o the_o equinoctial_a and_o from_o thence_o towards_o our_o zenith_n these_o two_o circle_n in_o sea-chart_n be_v mark_v with_o two_o great_a red_a line_n draw_v from_o east_n to_o west_n which_o lie_v on_o either_o side_n of_o the_o equinoctial_a be_v distant_a from_o thence_o about_o 23_o deg_n and_o a_o half_a and_o wheresoever_o our_o ship_n be_v in_o any_o place_n between_o these_o two_o circle_n or_o line_n we_o may_v in_o some_o time_n of_o the_o year_n take_v the_o sun_n in_o our_o zenith_n at_o which_o time_n it_o make_v no_o shadow_n at_o all_o be_v then_o just_a 90_o degr_n high_a above_o our_o horizon_n but_o they_o which_o be_v without_o the_o say_v two_o circle_n or_o line_n shall_v never_o have_v the_o sun_n in_o their_o zenith_n because_o it_o can_v come_v to_o the_o height_n of_o 90_o degr_n above_o their_o horizon_n chap._n xviii_o of_o the_o parallel_n the_o parallel_a circle_n be_v those_o which_o be_v in_o all_o part_n equal_o distant_a from_o the_o
a_o half_a be_v deduct_v out_o of_o the_o height_n of_o the_o north_n star_n the_o remainder_n be_v the_o just_a height_n of_o the_o pole_n the_o six_o rule_n when_o the_o guard_n be_v in_o the_o south-west_n one_o bear_v from_o another_o east_n and_o west_n and_o the_o former_a lie_v from_o the_o north_n star_n north-east_n and_o south-west_n and_o then_o the_o north_n star_n be_v above_o the_o pole_n three_o degree_n and_o a_o half_a which_o three_o degree_n and_o a_o half_a be_v deduct_v out_o of_o the_o height_n of_o the_o star_n that_o which_o remain_v shall_v be_v the_o height_n of_o the_o pole_n the_o seven_o rule_n when_o the_o guard_n be_v at_o the_o low_a the_o former_a guard_n bear_v with_o the_o north_n star_n north_n and_o south_n and_o then_o the_o north_n star_n be_v above_o the_o pole_n three_o degree_n which_o be_v deduct_v the_o remainder_n be_v the_o height_n of_o the_o pole_n the_o eight_o rule_n when_o the_o guard_n be_v in_o the_o southeast_n one_o bear_v from_o another_o north_n and_o south_n and_o the_o former_a bear_v from_o the_o north_n star_v northwest_o and_o southeast_n and_o the_o north_n star_n be_v above_o the_o pole_n half_o a_o degree_n which_o half_a degree_n be_v deduct_v from_o the_o height_n of_o the_o star_n the_o remainder_n be_v the_o height_n of_o the_o pole_n above_o our_o horizon_n and_o just_a so_o much_o be_v we_o distant_a from_o the_o equinoctial_a towards_o the_o north._n this_o be_v the_o account_n which_o always_o have_v be_v make_v of_o the_o north_n star_n from_o the_o time_n that_o it_o have_v have_v three_o degree_n and_o a_o half_a distance_n from_o the_o pole_n unto_o this_o present_a but_o because_o at_o this_o time_n by_o reason_n of_o the_o compound_n motion_n of_o the_o 8_o and_o 9_o heaven_n the_o fix_a star_n have_v notable_o vary_v from_o their_o place_n the_o pole_n star_n have_v also_o approach_v near_o the_o pole_n be_v now_o distant_a therefrom_o not_o above_o three_o degree_n and_o eight_o minute_n and_o so_o i_o think_v it_o convenient_a to_o set_v down_o the_o account_n which_o ought_v now_o to_o be_v make_v thereof_o book_n according_a to_o the_o foresay_a distance_n to_o the_o end_n that_o from_o henceforth_o the_o height_n of_o the_o pole_n take_v by_o the_o star_n may_v agree_v just_o with_o the_o distance_n from_o the_o equinoctial_a take_v by_o the_o sun_n which_o two_o thing_n have_v hitherto_o disagree_v and_o cause_v no_o small_a confusion_n unto_o the_o pilot_n and_o some_o error_n in_o navigation_n the_o guard_n be_v in_o the_o east_n you_o shall_v add_v unto_o the_o height_n take_v by_o the_o crosse-staffe_n 1_o degree_n 20_o minute_n north-east_n 3_o degree_n 8_o minute_n north_n 2_o degree_n 41_o minute_n northwest_o 0_o degree_n 27_o minute_n in_o the_o contrary_a rumb_n to_o these_o you_o must_v deduct_v these_o degree_n from_o the_o height_n of_o the_o star_n which_o you_o take_v with_o your_o crosse-staffe_n and_o then_o you_o shall_v have_v the_o height_n of_o the_o pole_n above_o the_o horizon_n chap._n xv._n other_o thing_n to_o be_v note_v in_o observe_v the_o height_n of_o the_o pole_n next_o unto_o the_o constellation_n of_o the_o horn_n here_o be_v a_o star_n which_o be_v call_v by_o the_o spaniard_n el_fw-es guion_n signify_v before_o by_o the_o letter_n d_o which_o stand_v east_n and_o west_n from_o the_o north-star_n give_v you_o to_o understand_v that_o it_o and_o the_o north_n star_n and_o the_o very_a pole_n be_v east_n and_o west_n and_o so_o take_v the_o height_n of_o the_o north_n star_n when_o it_o be_v thus_o situate_a in_o regard_n of_o the_o guion_n with_o out_o make_v any_o other_o account_n you_o have_v the_o just_a height_n of_o the_o pole_n and_o the_o distance_n from_o the_o equinoctial_a here_o follow_v the_o table_n the_o guard_n be_v in_o the_o east_n the_o three_o star_n be_v in_o the_o southeast_n the_o six_o star_n in_o the_o south_n the_o 9_o the_o star_n in_o the_o south-west_n northeast_n east_n southeast_n south_n north_n northeast_n east_n southeast_n northwest_o north_n north-east_n east_n west_n northwest_o north_n north-east_n southwest_n west_n northwest_o north_n south_n southwest_n west_n northwest_o southeast_n south_n southwest_n west_n in_o this_o table_n the_o first_o column_n serve_v for_o the_o guard_n the_o second_o for_o the_o three_o star_n the_o three_o column_n for_o the_o six_o star_n and_o the_o four_o for_o the_o nine_o star_n insomuch_o as_o if_o you_o seek_v the_o rumb_n see_v any_o of_o these_o four_o star_n in_o this_o table_n right_a against_o the_o same_o do_v answer_v those_o rumb_n where_o the_o other_o three_o be_v although_o we_o can_v see_v they_o in_o the_o heaven_n chap._n xvi_o of_o the_o crosier_n when_o the_o mariner_n pass_v the_o equinoctial_a line_n towards_o the_o south_n so_o that_o they_o can_v see_v the_o north-star_n they_o make_v use_v of_o another_o staâ—_n which_o be_v in_o the_o constellation_n call_v by_o the_o astronomer_n the_o centaur_n which_o star_n with_o other_o three_o notable_a star_n which_o be_v in_o the_o same_o constellation_n make_v the_o figure_n of_o a_o cross_n for_o which_o cause_n they_o call_v it_o the_o crosier_n and_o it_o be_v hold_v for_o certain_a that_o when_o the_o star_n a_o which_o of_o all_o four_o come_v near_a to_o the_o south_n pole_n be_v north_n and_o south_n with_o the_o star_n b_o that_o than_o it_o be_v right_o situate_a to_o take_v the_o height_n by_o and_o because_o this_o star_n a_o which_o they_o call_v the_o cock_n foot_n be_v thirty_o degree_n from_o the_o south_n pole_n it_o come_v to_o pass_v that_o if_o be_v situate_a as_o be_v aforesaid_a we_o take_v the_o height_n thereof_o which_o be_v then_o the_o great_a that_o it_o can_v have_v this_o height_n will_v true_o show_v how_o far_o we_o be_v distant_a from_o the_o equinoctial_a for_o if_o the_o say_a height_n be_v thirty_o degree_n than_o we_o be_v in_o the_o very_a equinoctial_a and_o if_o it_o be_v more_o than_o thirty_o degree_n then_o be_v we_o by_o so_o much_o past_o the_o equinoctial_a towards_o the_o south_n and_o if_o it_o be_v less_o than_o 30_o degree_n so_o much_o as_o it_o want_v be_v we_o to_o the_o north_n of_o the_o equinoctial_a and_o here_o it_o be_v to_o be_v note_v that_o when_o the_o guard_n be_v in_o the_o north-east_n then_o be_v the_o star_n in_o the_o crosier_n fit_o situate_a for_o observation_n because_o than_o they_o be_v in_o the_o meridian_n chap._n xvii_o of_o the_o sea-compass_n the_o sea-compass_n be_v one_o of_o the_o most_o necessary_a instrument_n which_o be_v use_v in_o navigation_n for_o day_n and_o night_n in_o clear_a and_o dark_a weather_n it_o show_v always_o the_o right_a way_n through_o the_o sea_n and_o therefore_o it_o be_v meet_v that_o this_o instrument_n be_v make_v with_o much_o care_n to_o the_o end_n that_o it_o may_v be_v most_o certain_a and_o true_a and_o the_o manner_n of_o make_v it_o be_v that_o upon_o a_o piece_n of_o pasteboard_n you_o draw_v a_o circle_n so_o big_a as_o you_o will_v have_v your_o compass_n to_o be_v which_o be_v divide_v into_o 32_o equal_a part_n as_o we_o have_v already_o show_v in_o the_o chapter_n of_o the_o wind_n with_o sixteen_o line_n cross_v one_o another_o in_o the_o centre_n than_o you_o shall_v adorn_v the_o eight_o principal_a wind_n as_o be_v to_o be_v see_v in_o the_o figure_n follow_v end_v in_o the_o north_n with_o a_o flower_n deluis_fw-la and_o you_o shall_v paint_v the_o north_n and_o south_n and_o east_n and_o west_n with_o blue_a and_o the_o north-east_n and_o south-west_n and_o the_o northwest_n and_o southeast_n with_o red_a and_o then_o take_v two_o steel_n wire_n which_o be_v to_o be_v place_v like_o the_o head_n of_o a_o lance_n you_o must_v fasten_v they_o on_o the_o back_n side_n of_o the_o say_a circle_n in_o such_o sort_n that_o one_o meet_v of_o the_o point_n of_o those_o steel_n wire_n be_v right_a under_o the_o north_n allow_v half_o a_o point_n towards_o the_o north-east_n in_o regard_n of_o the_o north-easting_a of_o the_o needle_n at_o sevil_n and_o the_o other_o meet_v at_o the_o opposite_a point_n which_o be_v south_n and_o half_a a_o point_n towards_o the_o south-west_n and_o touch_v or_o rub_v those_o two_o point_n of_o the_o wire_n with_o the_o end_n of_o the_o loadstone_n which_o look_v to_o the_o north_n and_o to_o the_o south_n to_o wit_n the_o north_n point_v of_o the_o wire_n with_o the_o south_n of_o the_o stone_n &_o the_o south_n point_n of_o the_o wire_n with_o the_o north_n of_o the_o stone_n this_o be_v do_v you_o must_v place_n upon_o the_o centre_n of_o the_o say_a circle_n a_o capitel_a which_o must_v be_v very_o well_o bore_v in_o from_o off_o a_o round_a pyramid_n to_o the_o end_n
the_o ruler_n as_o before_o you_o shall_v cut_v the_o line_n bd_o in_o another_o point_n which_o shall_v represent_v eight_o of_o the_o clock_n in_o the_o morning_n and_o four_o in_o the_o afternoon_n and_o account_v high_o fifteen_o degree_n more_o one_o both_o side_n and_o place_v your_o ruler_n upon_o the_o end_n of_o your_o account_n it_o will_v divide_v the_o line_n bd_o at_o another_o point_n which_o shall_v be_v nine_o a_o clock_n in_o the_o morning_n and_o three_o in_o the_o afternoon_n and_o so_o you_o shall_v proceed_v from_o fifteen_o to_o fifteen_o degree_n till_o you_o come_v to_o eleven_o of_o the_o clock_n in_o the_o morning_n and_o one_o in_o the_o afternoon_n and_o if_o you_o will_v have_v the_o half_a hour_n also_o you_o must_v account_v from_o seven_o degree_n and_o a_o half_a to_o seven_o and_o a_o half_a and_o do_v as_o you_o do_v with_o the_o fifteen_o degree_n you_o shall_v have_v the_o half_a hour_n also_o then_o place_v your_o compass_n upon_o the_o centre_n e_o and_o upon_o every_o division_n of_o the_o line_n ebb_v you_o shall_v draw_v the_o same_o division_n likewise_o upon_o the_o line_n ed_z which_o be_v do_v draw_z certain_z obscure_a line_n from_o the_o point_n a_o to_o the_o division_n of_o the_o line_n ebb_v and_o draw_v the_o right_a line_n gf_n see_v where_o gf_n be_v cut_v at_o the_o high_a of_o the_o obscure_a line_n which_o must_v be_v at_o the_o point_n n_o from_o whence_o the_o line_n no_o be_v to_o be_v draw_v equal_o distant_a from_o the_o line_n be._n and_o this_o line_n no_o shall_v be_v divide_v proportional_o by_o the_o obscure_a line_n even_o as_o the_o line_n be._n then_o let_v the_o division_n of_o the_o line_n no_o be_v transfer_v into_o the_o line_n mg_n mi_fw-mi lf_n lh_n and_o then_o the_o tropic_n also_o shall_v be_v divide_v then_o by_o every_o three_o point_n answerable_a in_o the_o equinoctial_a and_o the_o two_o tropic_n you_o shall_v draw_v certain_a part_n of_o circle_n seek_v the_o centre_n of_o those_o three_o point_n in_o the_o equinoctial_a line_n extend_v forth_o on_o either_o side_n and_o these_o part_n of_o circle_n represent_v the_o hour_n then_o make_v a_o account_n of_o the_o degr_n of_o declination_n from_o the_o point_n b_o and_o from_o d_o on_o both_o side_n by_o every_o 2_o degr_n and_o draw_v line_n parallel_v to_o the_o equinoctial_a from_o one_o to_o another_o and_o those_o shall_v be_v the_o parallel_n of_o the_o sun_n declination_n moreover_o you_o shall_v make_v a_o horizon_n as_o large_a as_o the_o diameter_n of_o the_o inner_a circle_n which_o shall_v be_v divide_v after_o this_o manner_n count_n from_o the_o point_n ac_fw-la towards_o b_o five_o degree_n and_o put_v your_o ruler_n upon_o the_o end_n of_o the_o account_n of_o both_o part_n see_v where_o it_o cut_v the_o line_n ebb_n and_o there_o make_v a_o mark_n and_o then_o count_v on_o both_o side_n other_o five_o degree_n and_o put_v the_o ruler_n once_o again_o at_o the_o end_n of_o your_o account_n make_v another_o mark_n where_o it_o cut_v the_o line_n ebb_n and_o so_o the_o line_n ebb_n must_v be_v divide_v from_o five_o to_o five_o degree_n which_o division_n shall_v be_v remove_v into_o the_o say_a horizon_n fasten_v it_o to_o the_o centre_n and_o lay_v it_o to_o the_o line_n bd_o and_o divide_v it_o both_o way_n as_o the_o line_n ebb_n be_v divide_v and_o set_v number_n thereinto_o from_o 5_o to_o 5_o which_o may_v begin_v in_o the_o midst_n and_o end_n with_o 90_o at_o the_o end_n of_o the_o horizon_n and_o let_v every_o one_o of_o these_o part_n be_v divide_v into_o five_o other_o part_n or_o degree_n then_o account_v from_o the_o centre_n e_o in_o the_o horizon_n eleven_o degree_n and_o ¼_n you_o shall_v set_v there_o a_o mark_n which_o shall_v be_v the_o seven_o point_n from_o north_n and_o south_n that_o be_v it_o shall_v represent_v the_o point_n which_o be_v next_o to_o the_o east_n and_o west_n in_o the_o compass_n and_o account_v another_o eleven_o degree_n and_o a_o quarter_n and_o make_v there_o a_o mark_n it_o shall_v represent_v the_o six_o point_n from_o north_n and_o south_n and_o so_o you_o must_v do_v with_o the_o other_o point_n and_o then_o your_o instrument_n be_v finish_v chap._n xxxv_o of_o the_o part_n of_o this_o instrument_n in_o this_o instrument_n the_o first_o thing_n be_v a_o circle_n divide_v into_o 360_o degree_n which_o be_v the_o meridian_n and_o the_o line_n of_o twelve_o a_o clock_n the_o second_o be_v the_o right_a line_n of_o which_o that_o in_o the_o midst_n be_v the_o equinoctial_a and_o the_o two_o other_o be_v the_o tropic_n of_o cancer_n and_o capricorn_n and_o the_o other_o line_n between_o those_o be_v the_o parallel_n of_o the_o sun_n declination_n which_o have_v their_o number_n agreeable_a to_o they_o and_o those_o that_o be_v between_o the_o equinoctial_a and_o the_o tropic_a of_o cancer_n do_v serve_v from_o the_o 11_o of_o march_n to_o the_o 13_o of_o september_n and_o the_o other_o for_o the_o residue_n of_o the_o year_n the_o crooked_a line_n which_o cross_v those_o parallel_n be_v the_o hour_n line_n and_o the_o point_n of_o the_o meridian_n which_o in_o 90_o degree_n distant_a from_o the_o equinoctial_a towards_o the_o left_a hand_n be_v the_o north_n pole_n and_o the_o point_n opposite_a to_o that_o be_v the_o south_n pole_n in_o the_o horizon_n there_o be_v first_o the_o degree_n and_o then_o the_o point_n of_o the_o compass_n distinguish_v by_o the_o small_a prick_v line_n chap._n xxxvi_o how_o you_o may_v know_v what_o a_o clock_n it_o be_v by_o this_o instrument_n at_o any_o time_n of_o the_o day_n when_o you_o will_v know_v what_o a_o clock_n it_o be_v take_v the_o height_n of_o the_o sun_n with_o your_o astrolabe_n and_o seek_v the_o table_n of_o the_o sun_n declination_n what_o declination_n it_o have_v the_o same_o day_n and_o the_o height_n of_o the_o pole_n which_o a_o good_a mariner_n know_v at_o all_o time_n because_o he_o must_v direct_v his_o course_n thereby_o this_o be_v know_v place_v the_o horizon_n instrument_n on_o the_o one_o side_n under_o the_o north_n and_o on_o the_o other_o side_n above_o the_o south_n so_o many_o degree_n as_o his_o distance_n from_o the_o equinoctial_a be_v the_o same_o day_n and_o fasten_v it_o there_o with_o a_o little_a wax_n that_o it_o may_v not_o move_v then_o count_v in_o the_o meridian_n on_o either_o side_n from_o the_o horizon_n which_o now_o stand_v firm_a the_o height_n of_o the_o sun_n above_o the_o horizon_n take_v with_o your_o astrolabe_n and_o by_o the_o end_n of_o the_o account_n draw_v a_o line_n or_o thread_n overthwart_o which_o shall_v be_v equal_o distant_a from_o the_o horizon_n then_o reckon_v the_o sun_n declination_n in_o the_o parallel_n begin_v from_o the_o equinoctial_a of_o the_o instrument_n that_o way_n which_o the_o sun_n decline_v and_o mark_v the_o line_n or_o parallel_v at_o which_o the_o account_n of_o the_o declination_n end_v where_o and_o at_o what_o hour_n it_o be_v cross_v by_o the_o thread_n for_o that_o hour_n be_v the_o hour_n of_o the_o day_n but_o note_v this_o that_o if_o the_o cross_n of_o the_o thread_n and_o parallel_n do_v fall_v upon_o the_o division_n of_o the_o parallel_n and_o of_o the_o hour_n it_o be_v a_o just_a hour_n but_o if_o it_o fall_v beside_o the_o common_a meeting_n of_o the_o parallel_n and_o of_o the_o hour-line_n upon_o that_o side_n where_o it_o fall_v see_v how_o much_o more_o there_o be_v then_o a_o hour_n whether_o ¼_n or_o 1_o â—_o or_o ½_o etc._n etc._n now_o although_o every_o hour_n line_n have_v two_o number_n one_o of_o the_o morning_n and_o another_o of_o the_o afternoon_n yet_o it_o be_v a_o easy_a matter_n to_o distinguish_v which_o of_o they_o will_v serve_v your_o turn_n if_o you_o know_v whether_o your_o observation_n be_v before_o high_a noon_n or_o after_o which_o be_v to_o be_v know_v by_o your_o astrolabe_n for_o if_o the_o sun_n ascend_v it_o be_v before_o noon_n but_o if_o it_o descend_v it_o be_v afternoon_n chap._n xxxvii_o of_o the_o variation_n of_o the_o compass_n by_o this_o instrument_n if_o you_o will_v know_v by_o this_o instrument_n the_o variation_n of_o the_o compass_n you_o must_v do_v thus_o when_o the_o sun_n rise_v or_o go_v down_o at_o the_o horizon_n observe_v he_o with_o your_o compass_n note_v very_o diligent_o upon_o what_o rumb_n and_o part_n of_o the_o rumb_n he_o rise_v or_o fall_v and_o if_o the_o compass_n be_v divide_v into_o 360_o part_n begin_v to_o reckon_v they_o from_o the_o east_n and_o from_o the_o west_n on_o either_o side_n and_o end_v in_o the_o north_n and_o south_n with_o 90_o degree_n it_o shall_v be_v the_o fit_a for_o this_o purpose_n because_o than_o you_o shall_v see_v
sake_n have_v need_n to_o note_v and_o when_o he_o have_v expect_v afternoon_n till_o the_o sun_n descend_v by_o the_o same_o instrument_n be_v find_v place_v in_o the_o same_o 25._o degr_v of_o altitude_n than_o the_o box_n itself_o must_v again_o be_v turn_v this_o way_n or_o that_o way_n until_o the_o sun_n again_o shine_v through_o the_o sight_n the_o magnetical_a needle_n do_v point_n to_o the_o begin_n of_o the_o circle_n which_o thing_n be_v thus_o dispatch_v the_o middle_a point_n of_o the_o arch_n in_o the_o horizontall_a plain_a between_o the_o first_o and_o second_o experiment_n be_v the_o north_n point_n and_o how_o much_o the_o needle_n decline_v from_o that_o point_n so_o much_o be_v the_o variation_n seek_v for_o as_o before_o we_o have_v show_v in_o the_o first_o example_n more_o at_o large_a whatsoever_o we_o have_v affirm_v to_o be_v available_a in_o the_o day_n time_n in_o these_o experiment_n of_o the_o sun_n the_o same_o may_v be_v understand_v and_o do_v in_o like_a manner_n in_o the_o night_n by_o any_o of_o the_o fix_a star_n whereof_o there_o be_v the_o same_o use_n in_o this_o matter_n that_o there_o be_v of_o the_o sun_n but_o there_o be_v not_o the_o same_o reason_n of_o the_o moon_n aswell_o because_o of_o the_o swiftness_n of_o her_o proper_a motion_n as_o also_o because_o of_o the_o greatness_n of_o her_o parallax_n as_o they_o call_v it_o which_o the_o overmuch_o neereness_n of_o the_o moon_n to_o the_o globe_n of_o the_o earth_n bring_v forth_o but_o this_o also_o be_v to_o be_v note_v that_o two_o three_o or_o four_o yea_o and_o more_o observation_n may_v be_v make_v in_o the_o foorenoon_n as_o for_o example_n let_v the_o first_o be_v when_o the_o sun_n be_v 10_o degree_n above_o the_o horizon_n the_o second_o when_o it_o be_v 15._o degr_n the_o three_o when_o it_o be_v 20._o degr_n and_o if_o any_o man_n will_v make_v trial_n as_o often_o after_o noon_n he_o shall_v see_v how_o every_o experiment_n agree_v with_o other_o and_o when_o at_o every_o moment_n the_o same_o north_n point_n be_v find_v that_o thing_n shall_v give_v the_o master_n of_o the_o ship_n no_o small_a courage_n and_o more_o certain_a confidence_n of_o his_o work_n but_o notwithstanding_o when_o the_o mariner_n sail_v from_o the_o east_n westward_n or_o contrariwise_o from_o the_o west_n eastward_n it_o may_v be_v that_o in_o the_o space_n of_o 10_o or_o 12_o hour_n between_o the_o first_o and_o second_o experiment_n there_o may_v be_v difference_n of_o one_o degree_n or_o more_o in_o the_o variation_n whereof_o may_v follow_v that_o the_o north_n point_v find_v by_o the_o first_o forenoon_n observation_n and_o the_o last_o in_o the_o afternoon_n shall_v not_o agree_v with_o that_o which_o be_v find_v by_o the_o first_o in_o the_o afternoon_n and_o the_o last_o in_o the_o forenoon_n when_o notwithstanding_o the_o mariner_n have_v not_o err_v in_o observe_v which_o if_o it_o shall_v happen_v often_o the_o skilful_a mariner_n may_v judge_v thereby_o what_o difference_n of_o variation_n be_v answerable_a to_o any_o determinate_a time_n of_o sail_v and_o so_o find_v a_o way_n whereby_o the_o north_n point_n may_v be_v find_v with_o more_o certainty_n and_o security_n which_o thing_n may_v thus_o also_o be_v do_v if_o a_o man_n diligent_o compare_v the_o variation_n find_v in_o the_o former_a day_n with_o the_o variation_n which_o he_o present_o see_v finis_fw-la error_n in_o the_o proportion_n of_o the_o length_n and_o breadth_n of_o place_n in_o the_o common_a sea-chart_n error_n in_o find_v out_o the_o difference_n of_o longitude_n by_o the_o common_a sea_n chart._n error_n in_o the_o lie_a and_o bear_v of_o place_n one_o from_o another_o in_o the_o common_a sea-chart_n error_n in_o set_v of_o place_n out_o of_o the_o common_a sea-chart_n into_o the_o globe_n error_n in_o show_v the_o distance_n of_o place_n in_o the_o common_a sea-chart_n error_n in_o keep_v always_o the_o same_o point_n of_o the_o compass_n the_o express_v of_o the_o rumb_n by_o right_a line_n defend_v which_o some_o hold_n for_o erroneous_a the_o definition_n of_o the_o nautical_a planisphaere_n 27_o prop._n 1._o euclid_n 17._o the_o use_n of_o the_o two_o first_o column_n of_o the_o table_n of_o latitude_n 1._o by_o the_o longitude_n and_o latitude_n of_o two_o place_n to_o find_v the_o rumb_n and_o distance_n 2._o by_o the_o distance_n and_o latitude_n to_o find_v the_o rumbe_n and_o difference_n of_o longitude_n 3._o by_o the_o rumb_n and_o latitude_n to_o find_v the_o distance_n and_o difference_n of_o longitude_n 4._o by_o the_o longitude_n rumb_n and_o one_o latitude_n to_o find_v the_o other_o latitude_n and_o the_o distance_n 5_o by_o the_o rumb_n the_o distance_n and_o one_o latitude_n to_o find_v the_o other_o latitude_n and_o the_o difference_n of_o longitude_n the_o use_n of_o this_o instrument_n a_o short_a way_n to_o calculate_v the_o table_n of_o magnetical_a inclination_n a_o most_o exact_a way_n to_o find_v the_o quantity_n of_o the_o earth_n semidiameter_n clau_n comm._n in_o 1_o cap_n joan._n de_fw-fr sacrobosc_n height_n of_o the_o eye_n angle_n of_o dip_v foot_n min._n se_fw-la 1_o 1_o 8_o 2_o 1_o 36_o 3_o 1_o 58_o 4_o 2_o 16_o 5_o 2_o 33_o 6_o 2_o 47_o 7_o 3_o 0_o 8_o 3_o 13_o 9_o 3_o 24_o 10_o 3_o 35_o 12_o 3_o 56_o 14_o 4_o 15_o 16_o 4_o 33_o 18_o 4_o 40_o 20_o 5_o 5_o 22_o 5_o 20_o 24_o 5_o 3â—_n 26_o 5_o 40_o 28_o 6_o 1_o 30_o 6_o 13_o 32_o 6_o 25_o 34_o 6_o 38_o 36_o 6_o 49_o 38_o 7_o 0_o 40_o 7_o 11_o 42_o 7_o 21_o 44_o 7_o 32_o 46_o 7_o 42_o 48_o 7_o 52_o 50_o 8_o 2_o sun_n height_n sun_n paralax_n gr_n m_o sec_n 0_o 3_o 0_o 5_o 2_o 59_o 10_o 2_o 57_o 15_o 2_o 54_o 20_o 2_o 50_o 25_o 2_o 44_o 30_o 2_o 36_o 35_o 2_o 27_o 40_o 2_o 18_o 45_o 2_o 7_o 50_o 1_o 56_o 55_o 1_o 43_o 60_o 1_o 30_o 65_o 1_o 16_o 70_o 1_o 2_o 75_o 0_o 46_o 80_o 0_o 31_o 85_o 0_o 15_o the_o sun_n the_o sun_n the_o fix_v st._n altitude_n refraction_n altitude_n refraction_n altitude_n refraction_n de._n mi._n se_fw-la de._n mi._n se_fw-la de._n mi._n se_fw-la 0_o 34_o 0_o 23_o 3_o 10_o 0_o 30_o 0_o 1_o 26_o 0_o 24_o 2_o 50_o 1_o 21_o 30_o 2_o 20_o 0_o 25_o 2_o 30_o 2_o 15_o 30_o 3_o 17_o 0_o 26_o 2_o 15_o 3_o 12_o 30_o 4_o 15_o 30_o 27_o 2_o 0_o 4_o 11_o 0_o 5_o 14_o 30_o 28_o 1_o 45_o 5_o 10_o 0_o 6_o 13_o 30_o 29_o 1_o 35_o 6_o 9_o 0_o 7_o 12_o 45_o 30_o 1_o 25_o 7_o 8_o 15_o 8_o 11_o 15_o 31_o 1_o 15_o 8_o 6_o 45_o 9_o 10_o 30_o 32_o 1_o 5_o 9_o 6_o 0_o 10_o 10_o 0_o 33_o  _fw-fr 55_o 10_o 5_o 30_o 11_o 9_o 30_o 34_o  _fw-fr 45_o 11_o 5_o 0_o 12_o 9_o 0_o 35_o  _fw-fr 35_o 12_o 4_o 30_o 13_o 8_o 30_o 36_o  _fw-fr 30_o 13_o 4_o 0_o 14_o 8_o 0_o 37_o  _fw-fr 25_o 14_o 3_o 30_o 15_o 7_o 30_o 38_o  _fw-fr 20_o 15_o 3_o 0_o 16_o 7_o 0_o 39_o  _fw-fr 15_o 16_o 2_o 30_o 17_o 6_o 30_o 40_o  _fw-fr 10_o 17_o 2_o 0_o 18_o 5_o 45_o 41_o  _fw-fr 9_o 18_o 1_o 30_o 19_o 5_o 0_o 42_o  _fw-fr 8_o 19_o 1_o 0_o 20_o 4_o 30_o 43_o  _fw-fr 7_o 20_o 0_o 30_o 21_o 4_o 0_o 44_o  _fw-fr 6_o 21_o 0_o 0_o 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come_v to_o the_o say_v perpendicular_a this_o arch_n resolve_v into_o degree_n shall_v give_v you_o the_o true_a azimuth_n of_o the_o sun_n chap._n xiiii_o to_o find_v the_o inclination_n or_o dip_v of_o the_o magnetical_a needle_n under_o the_o horizon_n first_o the_o angle_n oar_n be_v give_v because_o of_o the_o arch_n obr_n measure_v the_o same_o 150_o degree_n and_o consequent_o the_o angle_n at_o r_o 15_o degree_n be_v equal_a to_o the_o equal_a side_v angle_n at_o o_o both_o which_o together_o be_v 30_o degree_n because_o they_o be_v the_o compliment_n of_o the_o angle_n oar_n 150_o degree_n to_o a_o semicircle_n or_o 180_o degree_n second_o in_o the_o triangle_n ars_n all_o the_o side_n be_v give_v be_v the_o radius_fw-la or_o semidiameter_n 10,000,000_o r_n equal_a to_o ro_n the_o subtense_n of_o 150_o degree_n 19,318,516_o and_o as_o equal_a to_o ad_fw-la triple_a in_o power_n to_o ab_fw-la because_o it_o be_v equal_a in_o power_n to_o ab_fw-la and_o bd_o that_o be_v boy_n which_o be_v double_a in_o power_n to_o ab_fw-la or_o else_o thus_o the_o arch_n ob_fw-la being_n 90_o degree_n the_o subtense_n thereof_o ob_fw-la that_o be_v the_o tangent_fw-la bd_o be_v 14,142,126_o which_o seek_v in_o the_o table_n of_o tangent_n shall_v give_v you_o the_o angle_n bid_v 54_o degree_n 44_o minute_n 8_o second_o the_o secant_fw-la whereof_o be_v the_o line_n ad_fw-la that_o be_v as_o 17,320,508_o now_o then_o by_o 4_o axiom_n of_o the_o 2_o book_n of_o ptisc_n as_o the_o base_a or_o great_a side_n sir_n 19,318,516_o be_v to_o the_o sum_n of_o the_o other_o two_o side_n sa_o and_o ar_n 27,320,508_o so_o be_v the_o difference_n of_o they_o sx_v 7,320,508_o to_o the_o segment_n of_o the_o great_a side_n sy_n 10,352,762_o which_o be_v take_v out_o of_o sir_n 19,318,516_o there_o remain_v your_o 8,965,754_o the_o half_a whereof_o rz_n 4,482,877_o be_v the_o sine_fw-la of_o the_o angle_n raz_n 26_o degree_n 38_o minute_n 2_o second_o the_o compliment_n whereof_o 63_o degree_n 21_o minute_n 58_o second_n be_v the_o angle_n arz_n which_o add_v to_o the_o angle_n aro_n 15_o degree_n make_v the_o whole_a angle_n orseolo_n 78_o degree_n â—1_n minute_n 58_o second_o whereof_o 60_o 90_o make_v 52_o degree_n 14_o minute_n 38_o second_n which_o take_v out_o of_o arz_n 63_o degree_n 21_o minute_n 58_o second_n there_o remain_v the_o angle_n tra_n 11_o degree_n 7_o minute_n 20_o second_o the_o compliment_n whereof_o be_v the_o inclination_n seek_v for_o 78_o degree_n 52_o minute_n 40_o second_n the_o sum_n and_o difference_n of_o the_o side_n sa_o and_o be_v be_v always_o the_o same_o viz._n 27,320,508_o and_o 7,320,508_o inclination_n the_o product_n of_o they_o shall_v likewise_o be_v always_o the_o same_o viz._n 199,999,997,378.064_o to_o be_v divide_v by_o the_o side_n sir_n that_o be_v ro_n the_o subtense_n of_o rbo._n therefore_o there_o may_v be_v some_o labour_n save_v in_o make_v the_o table_n of_o magnetical_a inclination_n if_o in_o stead_n of_o the_o say_v product_v you_o take_v continual_o but_o the_o half_a thereof_o that_o be_v 99,999,998,689,032_o and_o so_o divide_v it_o by_o half_a the_o subtense_n ro_n that_o be_v by_o the_o sine_fw-la of_o half_a the_o arch_n obr_n or_o rather_o thus_o as_o half_a the_o base_a r_n that_o be_v as_o the_o sine_z of_o half_a the_o arch_n obr_n be_v to_o half_a the_o sum_n of_o the_o other_o two_o side_n sa_o and_o ar_n 13,660,254_o so_o be_v half_a the_o difference_n of_o they_o 3,660,254_o to_o half_a of_o the_o segment_n sy_n which_o take_v out_o of_o half_a the_o base_a there_o remain_v rz_n the_o sine_fw-la of_o raz_n the_o table_n of_o magnetical_a inclination_n first_o col_fw-fr second_o col_fw-fr first_o col·_fw-la second_o col_fw-fr first_o col_fw-fr second_n col_fw-fr height_n of_o the_o pole_n magnetical_a inclination_n height_n of_o the_o pole_n magnetical_a inclination_n height_n of_o the_o pole_n magnetical_a inclination·_n degree_n degr._fw-la min._n degree_n degr._fw-la min_n degree_n degr._fw-la min._n 1_o 2_o 11_o 31_o 52_o 27_o 61_o 79_o 29_o 2_o 4_o 20_o 32_o 53_o 41_o 62_o 80_o 4_o 3_o 6_o 27_o 33_o 54_o 53_o 63_o 80_o 38_o 4_o 8_o 31_o 34_o 56_o 4_o 64_o 81_o 11_o 5_o 10_o 34_o 35_o 57_o 13_o 65_o 81_o 43_o 6_o 12_o 34_o 36_o 58_o 21_o 66_o 82_o 13_o 7_o 14_o 32_o 37_o 59_o 28_o 67_o 82_o 43_o 8_o 16_o 28_o 38_o 60_o 33_o 68_o 83_o 12_o 9_o 18_o 22_o 39_o 61_o 37_o 69_o 83_o 40_o 10_o 20_o 14_o 40_o 62_o 39_o 70_o 84_o 7_o 11_o 22_o 4_o 41_o 63_o 40_o 71_o 84_o 32_o 12_o 24_o 52_o 42_o 64_o 39_o 72_o 84_o 57_o 13_o 25_o 38_o 43_o 65_o 38_o 73_o 85_o 21_o 14_o 27_o 22_o 44_o 66_o 35_o 74_o 85_o 44_o 15_o 29_o 4_o 45_o 67_o 30_o 75_o 86_o 7_o 16_o 30_o 45_o 46_o 68_o 24_o 76_o 86_o 28_o 17_o 32_o
excuse_v for_o find_v a_o fault_n herein_o and_o not_o amend_v it_o at_o this_o time_n and_o that_o so_o much_o the_o rather_o because_o that_o according_a to_o promise_v make_v in_o the_o first_o edition_n of_o this_o book_n i_o will_v now_o show_v the_o mean_n how_o by_o observation_n of_o the_o polestar_n and_o guard_n to_o find_v present_o the_o height_n of_o the_o pole_n not_o only_a when_o the_o fore-guard_n be_v in_o some_o one_o of_o those_o eight_o principal_a position_n beforementioned_a as_o the_o manner_n have_v be_v hitherto_o but_o in_o any_o other_o position_n also_o and_o at_o any_o time_n of_o the_o night_n when_o the_o polestar_n and_o guard_n may_v be_v see_v and_o that_o without_o any_o allowance_n or_o abatement_n give_v or_o take_v by_o addition_n or_o subtraction_n of_o any_o equation_n in_o regard_n of_o the_o pole-star_n be_v high_o or_o low_a than_o the_o pole_n all_o which_o beside_o divers_a other_o pleasant_a and_o profitable_a conclusion_n may_v easy_o be_v perform_v by_o mean_n of_o a_o instrument_n by_o i_o divise_v which_o may_v not_o unfit_o be_v call_v the_o sea-quadrant_n the_o description_n and_o use_n whereof_o here_o follow_v the_o figure_n of_o the_o sea-quadrant_a chap._n xxxv_o the_o description_n and_o part_n of_o the_o sea-quadrant_n this_o quadrant_n consist_v of_o many_o part_n whereof_o some_o may_v be_v call_v principal_a and_o some_o less_o principal_a the_o principal_a part_n of_o this_o quadrant_n be_v the_o semidiameter_n thereof_o and_o the_o archippus_n the_o semidiameter_n i_o call_v the_o straight_a square_a ruler_n the_o arch_n i_o call_v that_o part_n of_o the_o quadrant_n that_o be_v make_v crooked_a like_o a_o bow_n the_o less_o principal_a part_n be_v the_o double_a box_n or_o â—ocket_n and_o the_o sight_n or_o vane_n the_o double_a box_n or_o socket_n have_v two_o square_a hole_n make_v crosse-wise_a through_o it_o in_o such_o sort_n that_o the_o arch_n and_o semidiameter_n of_o the_o quadrant_n may_v be_v fit_o put_v through_o they_o the_o flat_a side_n of_o the_o one_o pass_v close_o by_o the_o flat_a side_n of_o the_o other_o by_o mean_n of_o this_o double_a cross_a socket_n the_o arch_n and_o semidiameter_n of_o the_o quadrant_n be_v so_o to_o be_v join_v together_o that_o the_o two_o angle_n make_v by_o the_o hollow_a side_n of_o the_o arch_n with_o the_o semidiameter_n may_v be_v equal_a each_o to_o other_o the_o sight_n or_o vane_n be_v either_o fix_v or_o movable_a there_o be_v two_o fix_a sight_n the_o one_o great_a the_o other_o lesser_a the_o great_a fix_v sight_n be_v fasten_v upon_o the_o double_a socket_n and_o have_v a_o narrow_a slit_n cut_v through_o the_o midst_n thereof_o the_o lesser_a fix_v sight_n be_v fasten_v to_o the_o end_n of_o the_o arch_n of_o the_o quadrant_n and_o have_v a_o small_a sight-hole_n bore_v through_o it_o even_o with_o the_o end_n of_o the_o archippus_n the_o movable_a sight_n be_v three_o in_o number_n whereof_o two_o be_v to_o be_v move_v up_o and_o down_o upon_o the_o arch_n of_o the_o quadrant_n as_o need_n shall_v require_v for_o observation_n the_o three_o be_v to_o be_v put_v on_o or_o take_v off_o that_o end_n of_o the_o semidiameter_n of_o the_o quadrant_n where_o the_o centre_n be_v which_o centre_n be_v show_v by_o the_o little_a round_a hole_n bore_v overthwart_o through_o the_o midst_n of_o the_o thickness_n of_o the_o square_a ruler_n near_o the_o end_n thereof_o which_o ruler_n we_o call_v the_o semidiameter_n of_o the_o quadrant_n this_o sight_n whensoever_o it_o be_v to_o be_v use_v must_v so_o be_v put_v on_o upon_o the_o end_n of_o that_o ruler_n that_o the_o flat_a side_n thereof_o which_o must_v be_v set_v towards_o the_o arch_n of_o the_o quadrant_n may_v divide_v the_o foresay_a round_a hole_n even_o by_o the_o midst_n thereof_o the_o sharp_a edge_n of_o that_o sight_n arise_v perpendicular_o from_o the_o very_a midst_n or_o centre_n of_o that_o hole_n which_o be_v also_o the_o centre_n of_o the_o quadrant_n when_o the_o other_o end_n of_o the_o square_a ruler_n or_o semidiameter_n thereof_o be_v put_v into_o his_o socket_n be_v thrust_v so_o far_o forward_o that_o the_o end_n thereof_o come_v to_o be_v even_o with_o the_o fore-end_n of_o the_o socket_n two_o side_n of_o the_o arch_n of_o the_o quadrant_n that_o be_v to_o say_v one_o of_o the_o straight_a or_o plain_a side_n and_o the_o hollow_a side_n thereof_o be_v divide_v into_o 90_o degree_n and_o every_o degree_n into_o 6_o part_n each_o part_n contain_v 10_o min._n and_o upon_o the_o straight_a side_n of_o the_o quadrant_n there_o be_v figure_n set_v to_o every_o five_o degree_n and_o that_o in_o two_o rank_n or_o limb_n the_o one_o beginning_n from_o that_o end_n of_o the_o arch_n where_o the_o small_a fix_a sight_n be_v place_v the_o other_o beginning_n and_o proceed_v from_o the_o other_o end_n of_o the_o arch_n where_o the_o nocturnal_a be_v to_o be_v fasten_v or_o put_v on_o that_o so_o the_o number_n of_o the_o degree_n and_o minute_n may_v the_o easy_o be_v reckon_v from_o either_o end_n of_o the_o arch_n as_o need_n shall_v require_v chap._n xxxvi_o of_o the_o nocturnal_a or_o night-dial_n the_o nocturnal_a contain_v three_o circle_n that_o be_v the_o hour_n circle_n the_o day_n circle_n and_o the_o polestar_n circle_n the_o big_a of_o these_o circle_n which_o be_v to_o be_v fasten_v to_o the_o end_n of_o the_o arch_n of_o the_o quadrant_n i_o call_v the_o hour-circle_n and_o it_o be_v divide_v into_o 24_o hour_n and_o half_a hour_n with_o figure_n set_v to_o every_o hour_n for_o the_o easy_a reckon_n of_o they_o next_o within_o this_o be_v the_o day-circle_n or_o circle_n of_o day_n because_o it_o contain_v the_o day_n of_o all_o the_o month_n of_o the_o year_n which_o day_n be_v signify_v by_o the_o small_a division_n round_o about_o at_o the_o circumference_n of_o this_o circle_n every_o five_o day_n have_v his_o stroke_n draw_v a_o little_a long_o than_o the_o rest_n that_o so_o any_o day_n you_o desire_v may_v the_o easy_o be_v find_v the_o small_a division_n contain_v but_o one_o day_n apiece_o the_o line_n show_v the_o beginning_n and_o end_n of_o the_o month_n be_v draw_v overthwart_o the_o whole_a breadth_n of_o this_o circle_n the_o beginning_n of_o january_n be_v know_v by_o the_o two_o line_n draw_v near_o together_o overthwart_a this_o circle_n whereof_o one_o show_v the_o end_n of_o the_o month_n of_o december_n and_o the_o other_o show_v the_o beginning_n of_o the_o month_n of_o january_n which_o be_v mark_v with_o two_o prick_n february_n be_v easy_o know_v in_o this_o circle_n because_o it_o have_v but_o only_o 28_o day_n march_n be_v by_o the_o little_a polestar_n circle_n and_o so_o all_o the_o rest_n of_o the_o month_n may_v easy_o be_v know_v by_o their_o order_n upon_o the_o centre_n of_o this_o arch_n which_o represent_v the_o pole_n of_o the_o world_n there_o be_v two_o indices_fw-la fasten_v the_o long_a of_o they_o may_v be_v call_v the_o guard-index_n whereto_o a_o short_a pin_n be_v fasten_v underneath_o which_o serve_v to_o set_v this_o index_n right_a upon_o the_o place_n of_o the_o middle_a guard_n in_o the_o day-circle_n by_o put_v it_o into_o the_o small_a hole_n that_o there_o be_v make_v in_o that_o circle_n the_o short_a index_n reach_v from_o the_o centre_n of_o the_o day-circle_n unto_o the_o limb_n or_o circumference_n thereof_o that_o be_v divide_v into_o day_n may_v be_v call_v the_o day-index_n this_o small_a circle_n place_v between_o the_o centre_n of_o the_o day-circle_n and_o the_o month_n of_o march_n may_v not_o unfit_o be_v call_v the_o polestar_n circle_n because_o the_o distance_n of_o the_o centre_n thereof_o from_o the_o centre_n of_o the_o day-circle_n be_v answerable_a to_o the_o distance_n of_o the_o polestar_n from_o the_o pole_n which_o at_o this_o time_n i_o have_v often_o find_v by_o exact_a observation_n not_o to_o be_v more_o than_o 2_o degree_n and_o 48_o minute_n chap._n xxxvii_o the_o use_n of_o the_o sea-quadrant_n and_o that_o first_o in_o observe_v the_o height_n of_o the_o sun_n look_v only_o by_o the_o sight_n at_o the_o centre_n to_o the_o horizon_n at_o sea_n turn_v the_o centre_n of_o the_o quadrant_n towards_o the_o sun_n so_o as_o the_o shadow_n of_o the_o vane_n or_o sight_n place_v at_o the_o centre_n may_v fall_v upon_o the_o hollow_a side_n of_o the_o arch_n of_o the_o quadrant_n then_o look_v through_o the_o little_a sight_n fasten_v in_o the_o end_n of_o the_o arch_n of_o the_o quadrant_n lay_v the_o upper_a edge_n of_o the_o sight_n place_v at_o the_o centre_n even_o with_o the_o horizon_n and_o at_o the_o same_o instant_n let_v one_o that_o stand_v by_o mark_v deligent_o upon_o what_o degree_n and_o minute_n of_o the_o quadrant_n the_o edge_n of_o the_o shadow_n
come_v from_o the_o say_a edge_n of_o the_o sight_n fall_v for_o that_o edge_n of_o the_o shadow_n upon_o the_o hollow_a side_n of_o the_o arch_n of_o the_o quadrant_n show_v the_o height_n of_o the_o upper_a edge_n of_o the_o sun_n from_o this_o therefore_o subtract_v 16_o minute_n and_o so_o much_o also_o as_o be_v answerable_a to_o the_o height_n of_o your_o eye_n above_o the_o water_n in_o such_o sort_n as_o i_o have_v show_v in_o the_o use_n of_o the_o crosse-staff_n in_o the_o 15_o chapter_n of_o this_o book_n and_o so_o you_o shall_v have_v the_o apparent_a height_n of_o the_o sun_n above_o the_o true_a horizon_n chap._n xxxviii_o how_o with_o this_o quadrant_n to_o observe_v the_o height_n of_o the_o sun_n with_o your_o back_n turn_v towards_o the_o sun_n set_v the_o edge_n of_o one_o of_o the_o broad_a movable_a sight_n or_o vane_n even_o with_o that_o end_n of_o the_o quadrant_n where_o the_o little_a sight_n be_v fix_v then_o look_v through_o the_o slit_n which_o be_v make_v 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sun_n semidiameter_n and_o the_o surplusage_n answerable_a to_o the_o height_n of_o the_o eye_n above_o the_o water_n as_o before_o be_v show_v in_o the_o former_a chapter_n chap._n thirty-nine_o how_o to_o observe_v with_o this_o quadrant_n the_o height_n of_o the_o sun_n or_o star_n look_v both_o to_o the_o sun_n or_o star_n and_o to_o the_o horizon_n set_v the_o upper_a edge_n of_o the_o uppermost_a movable_a sight_n of_o the_o quadrant_n at_o some_o even_a number_n of_o degree_n as_o at_o 10_o 20_o or_o 30_o etc._n etc._n and_o set_v the_o end_n of_o the_o semidiameter_n of_o the_o quadrant_n where_o the_o centre_n be_v to_o the_o corner_n of_o the_o eye_n as_o you_o do_v when_o you_o observe_v with_o the_o crosse-staffe_n lay_v that_o edge_n of_o the_o sight_n even_o with_o the_o upper_a edge_n of_o the_o sun_n and_o move_v the_o nether_a movable_a sight_n up_o or_o down_o till_o the_o upper_a edge_n thereof_o lie_v even_o with_o the_o horizon_n then_o see_v how_o many_o degree_n 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