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whether_o the_o two_o station_n be_v choose_v at_o the_o one_o end_n of_o the_o breadth_n propose_v or_o without_o it_o or_o within_o it_o if_o the_o line_n between_o the_o station_n be_v perpendicular_a unto_o the_o breadth_n as_o may_v appear_v if_o in_o stead_n of_o the_o station_n at_o a_o and_o h_n we_o make_v choice_n of_o the_o like_a station_n at_o i_o and_o k._n there_o may_v be_v other_o way_n propose_v to_o work_v these_o prop._n by_o hold_v the_o cross_n even_o with_o the_o distance_n and_o the_o staff_n parallel_v with_o the_o height_n but_o these_o will_v prove_v more_o troublesome_a and_o those_o which_o be_v deliver_v be_v sufficient_a and_o the_o same_o with_o those_o which_o other_o have_v set_v down_o under_o the_o name_n of_o the_o jacobs_n staff_n chap._n iii_o the_o use_n of_o the_o tangent_fw-la line_n in_o take_v of_o angles_n 1_o to_o find_v a_o angle_n by_o the_o tangent_fw-la on_o the_o staff_n let_v the_o middle_a sight_n be_v always_o set_v to_o the_o middle_n of_o the_o cross_n note_v with_o 20_o and_o 30_o and_o then_o the_o cross_n draw_v near_o the_o eye_n until_o the_o mark_n may_v be_v see_v close_o within_o the_o sight_n for_o so_o if_o the_o eye_n at_o a_o that_o end_n of_o the_o staff_n which_o be_v note_v with_o 90_o and_o 180_o behold_v the_o mark_n k_o and_o n_n between_o the_o two_o first_o sight_n c_o and_o b_o or_o the_o mark_n k_o and_o p_o between_o the_o two_o outward_a sight_n the_o cross_n be_v draw_v down_o unto_o h_n shall_v stand_v at_o 30_o and_o 60_o in_o the_o tangent_fw-la on_o the_o staff_n it_o show_v that_o the_o angle_n can_n be_v 30_o gr_n the_o angle_n kap_n 60_o gr_n the_o onâ—_n double_a to_o the_o other_o which_o be_v â—he_n reason_n of_o the_o double_a number_n on_o this_o line_n of_o the_o staff_n and_o this_o way_n will_v serve_v for_o any_o angle_n from_o 20_o gr_n towards_o 90_o gr_n or_o from_o 40_o gr_n towards_o 180_o gr_n but_o if_o the_o angle_n be_v less_o than_o 20_o gr_n we_o must_v 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the_o tangent_fw-la of_o 30_o upon_o the_o cross_n this_o tangent_fw-la of_o 30_o be_v here_o put_v the_o rather_o that_o the_o end_n of_o the_o staff_n rest_v at_o the_o eye_n the_o hand_n may_v more_o easy_o remove_v the_o cross_n for_o it_o suppose_v the_o radius_fw-la to_o be_v no_o long_o then_o ah_o which_o be_v from_o the_o eye_n at_o the_o end_n of_o the_o staff_n unto_o 30_o gr_n about_o 22_o inch_n and_o 7_o part_n wherefore_o here_o set_v the_o middle_a sight_n unto_o 30_o gr_n on_o the_o staff_n and_o then_o either_o draw_v the_o cross_n in_o or_o out_o until_o the_o mark_n be_v see_v between_o the_o two_o first_o sight_n so_o the_o quantity_n of_o the_o angle_n will_v be_v find_v in_o the_o tangent_fw-la of_o 30_o which_o be_v here_o represent_v by_o the_o line_n gh_o and_o this_o will_v serve_v for_o any_o angle_n from_o 0_o gr_n towards_o 48_o gr_n 4_o to_o observe_v the_o altitude_n of_o the_o sun_n backward_o here_o it_o be_v fit_a to_o have_v a_o horizontall_a sight_n set_v to_o the_o begin_n of_o the_o staff_n and_o then_o may_v you_o turn_v your_o back_n towards_o the_o sun_n and_o your_o cross_n towards_o your_o eye_n if_o the_o altitude_n be_v under_o 45_o gr_n set_v the_o middle_a sight_n to_o 30_o on_o the_o staff_n and_o look_v by_o the_o middle_a sight_n through_o the_o horizontall_a unto_o the_o horizon_n move_v the_o cross_n upward_o or_o downward_o until_o the_o upper_a sight_n do_v shadow_n the_o upper_a half_n of_o the_o horizontall_a sight_n so_o the_o altitude_n will_v be_v find_v in_o the_o tangent_fw-la of_o 30._o if_o the_o altitude_n shall_v be_v more_o than_o 45_o gr_n set_v the_o middle_a sight_n unto_o the_o midst_n of_o the_o cross_n and_o look_v by_o the_o inward_a edge_n of_o the_o low_a sight_n through_o the_o horizontall_a to_o the_o horizon_n move_v the_o middle_a sight_n in_o or_o out_o until_o the_o upper_a sight_n do_v shadow_v the_o upper_a half_n of_o the_o horizontall_a sight_n so_o the_o altitude_n will_v be_v find_v in_o the_o degree_n on_o the_o staff_n between_o 40_o and_o 180._o 5_o to_o set_v the_o staff_n to_o any_o angle_n give_v this_o be_v the_o converse_n of_o the_o former_a prop._n for_o if_o the_o middle_a sight_n be_v set_v to_o his_o place_n and_o degree_n the_o eye_n look_v close_o by_o the_o sight_n as_o before_o can_v but_o see_v his_o object_n in_o the_o angle_n give_v 6_o to_o observe_v the_o altitude_n of_o the_o sun_n another_o way_n set_a the_o middle_a sight_n to_o the_o middle_n of_o the_o cross_n and_o hold_v the_o horizontall_a sight_n downward_o so_o as_o the_o cross_n may_v be_v parallel_n to_o the_o horizon_n then_o be_v the_o staff_n vertical_a and_o if_o the_o outward_a sight_n of_o the_o cross_n do_v shadow_v the_o horizontall_a sight_n the_o compliment_n of_o the_o altitude_n will_v be_v find_v in_o the_o tangent_fw-la on_o the_o staff_n 7_o to_o observe_v a_o altitude_n by_o thread_n and_o plummet_n let_v the_o middle_a sight_n be_v set_v to_o the_o midst_n of_o the_o cross_n and_o to_o that_o end_n of_o the_o staff_n which_o be_v note_v with_o 90_o and_o 180_o then_o have_v a_o thread_n and_o a_o plummet_n at_o the_o begin_n of_o the_o cross_n and_o turn_v the_o cross_n upward_o and_o the_o staff_n towards_o the_o sun_n the_o thread_n will_v fall_v on_o the_o compliment_n of_o the_o altitude_n above_o the_o horizon_n and_o this_o may_v be_v apply_v to_o other_o purpose_n 8_o to_o apply_v the_o line_n of_o inch_n to_o the_o take_n of_o angle_n if_o the_o angle_n be_v observe_v between_o the_o two_o first_o sight_n there_o will_v be_v such_o proportion_n between_o the_o part_n of_o the_o staff_n and_o the_o part_n of_o the_o cross_n as_o between_o the_o radius_fw-la and_o the_o tangent_fw-la of_o the_o angle_n as_o if_o the_o part_n intercept_v on_o the_o staff_n be_v 20_o inch_n the_o part_n on_o the_o cross_n 9_o inch_n then_o by_o proportion_n as_o 20_o unto_o 9_o so_o 100000_o unto_o 45000_o the_o tangent_fw-la of_o 24_o gr_n 14_o m._n but_o if_o the_o angle_n shall_v be_v observe_v between_o the_o two_o outward_a sight_n the_o part_n be_v 20_o and_o 9_o as_o before_o the_o angle_n will_v be_v 48_o gr_n 28_o m._n double_a unto_o the_o former_a in_o all_o these_o there_o be_v a_o regard_n to_o be_v have_v to_o the_o parallax_n of_o the_o eye_n and_o his_o height_n above_o the_o horizon_n in_o observation_n at_o sea_n to_o the_o semidiameter_n of_o the_o sun_n his_o parallax_n and_o refraction_n as_o in_o the_o use_n of_o other_o staff_n and_o so_o this_o will_v be_v as_o much_o or_o more_o than_o that_o which_o have_v be_v heretofore_o perform_v by_o the_o crosse-staffe_n chap._n four_o the_o use_n of_o the_o line_n of_o equal_a part_n join_v with_o the_o line_n of_o chord_n the_o line_n of_o equal_a part_n do_v serve_v also_o for_o protraction_n as_o may_v appear_v by_o the_o former_a diagram_n but_o be_v join_v with_o the_o line_n of_o chord_n which_o i_o place_n upon_o one_o side_n of_o the_o cross_n they_o will_v far_o serve_v for_o the_o protraction_n and_o resolution_n of_o right_a line_n triangle_n whereof_o i_o will_v give_v one_o example_n in_o find_v of_o a_o distance_n at_o two_o station_n otherwise_o then_o in_o the_o second_o cap._n let_v the_o distance_n require_v be_v ab_fw-la at_o a_o the_o first_o station_n i_o make_v choice_n of_o a_o station_n line_n towards_o c_o and_o observe_v the_o angle_n bac_n by_o the_o tangent_fw-la line_n which_o may_v be_v 43_o gr_n 20_o m_o then_o have_v go_v a_o hundred_o pace_n towards_o c_o i_o make_v my_o second_o station_n at_o d_o
the_o latitude_n be_v 50_o gr_n for_o the_o meridian_n altitude_n of_o the_o sun_n be_v 30_o gr_n by_o the_o last_o prop._n and_o the_o sun_n have_v 10_o gr_n of_o south_n declination_n the_o meridian_n altitude_n of_o the_o equator_fw-la will_v be_v 40_o gr_n and_o therefore_o the_o observation_n be_v make_v in_o 50_o gr_n of_o north_n latitude_n by_o the_o same_o reason_n if_o the_o low_a side_n have_v stay_v at_o 51_o gr_n 30_o m._n the_o latitude_n must_v have_v be_v 51_o gr_n 30_o m._n and_o so_o in_o the_o rest_n 5_o to_o find_v any_o north_n latitude_n by_o the_o meridian_n altitude_n of_o the_o star_n to_o the_o southward_n let_v the_o upper_a sight_n be_v set_v to_o the_o star_n which_o you_o intend_v to_o observe_v here_o place_v in_o the_o before_o side_n of_o the_o bow_n then_o hold_v the_o north_n end_n of_o the_o bow_n upward_o and_o turn_v your_o face_n to_o the_o south_n observe_v the_o meridian_n altitude_n as_o before_o so_o the_o low_a sight_n shall_v show_v the_o latitude_n of_o the_o place_n in_o the_o before_o side_n of_o the_o bow_n thus_o if_o in_o observe_v the_o meridian_n altitude_n of_o the_o great_a dogstar_n the_o low_a sight_n shall_v stay_v at_o 50_o gr_n it_o will_v show_v the_o latitude_n to_o be_v 50_o gr_n for_o this_o star_n be_v here_o place_v at_o 73_o gr_n 48_o m._n if_o we_o take_v thence_o 50_o gr_n his_o meridian_n altitude_n will_v be_v 23_o gr_n 48_o m._n to_o this_o if_o we_o add_v 16_o gr_n 12_o m._n for_o the_o south_n declination_n of_o this_o star_n it_o will_v show_v the_o meridian_n altitude_n of_o the_o equator_fw-la to_o be_v 40_o gr_n and_o therefore_o the_o latitude_n to_o be_v 50_o gr_n 6_o to_o find_v any_o north_n latitude_n by_o the_o meridian_n altitude_n of_o the_o star_n to_o the_o northward_o let_v the_o upper_a sight_n be_v set_v to_o the_o star_n which_o you_o intend_v to_o observe_v here_o place_v on_o the_o back_n side_n of_o the_o bow_n then_o hold_v the_o north_n end_n of_o the_o bow_n upward_o and_o turn_v your_o face_n to_o the_o north_n observe_v the_o altitude_n of_o the_o star_n when_o he_o come_v to_o be_v in_o the_o meridian_n and_o under_o the_o pole_n so_o the_o low_a sight_n shall_v show_v the_o altitude_n of_o the_o pole_n in_o the_o back_n side_n of_o the_o bow_n thus_o the_o former_a guard_n come_v to_o be_v in_o the_o meridian_n under_o the_o pole_n if_o you_o observe_v and_o find_v the_o low_a sight_n to_o stay_v at_o 50_o gr_n such_o be_v the_o elevation_n of_o the_o pole_n and_o the_o latitude_n of_o the_o place_n to_o the_o northward_o for_o the_o distance_n between_o the_o two_o sight_n will_v show_v the_o altitude_n to_o be_v 35_o gr_n 45_o m._n &_o the_o star_n be_v 14_o gr_n 15_o m._n distant_a from_o the_o north_n pole_n these_o two_o do_v make_v up_o 50_o gr_n for_o the_o elevation_n of_o the_o north-pole_n and_o therefore_o such_o be_v the_o north_n latitude_n 7_o to_o find_v any_o south_n latitude_n by_o know_v either_o the_o day_n of_o the_o month_n or_o the_o declination_n of_o the_o sun_n when_o you_o be_v come_v into_o south_n latitude_n turn_v both_o your_o sight_n to_o the_o backside_n of_o the_o bow_n the_o upper_a sight_n to_o the_o declination_n of_o the_o sun_n or_o the_o day_n of_o the_o month_n at_o the_o south_n end_n and_o the_o low_a sight_n towards_o the_o north_n end_n of_o the_o bow_n then_o the_o sun_n come_v to_o the_o meridian_n turn_v your_o face_n to_o the_o north_n and_o hold_v the_o south_n end_n of_o the_o bow_n upward_o observe_v the_o meridian_n altitude_n as_o before_o so_o the_o low_a sight_n shall_v show_v the_o latitude_n of_o the_o place_n in_o the_o back_n side_n of_o the_o bow_n thus_o be_v in_o south_n latitude_n upon_o the_o ten_o of_o may_n if_o you_o observe_v and_o find_v the_o low_a sight_n to_o stay_v at_o 30_o gr_n on_o the_o back_n side_n of_o the_o bow_n such_o be_v the_o latitude_n for_o the_o declination_n be_v 20_o gr_n northward_o the_o altitude_n of_o the_o sun_n between_o the_o two_o sight_n 40_o gr_n the_o altitude_n of_o the_o equator_fw-la 60_o gr_fw-la and_o therefore_o the_o latitude_n 30_o gr_n 8_o to_o find_v any_o south_n latitude_n by_o the_o meridian_n altitude_n of_o the_o star_n to_o the_o northward_o let_v the_o upper_a sight_n be_v set_v to_o the_o star_n which_o you_o intend_v to_o observe_v here_o place_v on_o the_o back_n side_n of_o the_o bow_n then_o hold_v the_o south_n end_n of_o the_o bow_n upward_o and_o turn_v your_o face_n to_o the_o north_n observe_v the_o meridian_n altitude_n as_o before_o so_o the_o low_a sight_n shall_v show_v the_o latitude_n of_o the_o place_n in_o the_o back_n side_n of_o the_o bow_n thus_o be_v in_o south_n latitude_n and_o the_o former_a guard_n come_v to_o be_v in_o the_o meridian_n over_o the_o pole_n if_o you_o observe_v and_o find_v the_o low_a sight_n to_o stay_v at_o 5_o gr_n such_o be_v the_o latitude_n for_o this_o star_n be_v 14_o gr_n 15_o m._n from_o the_o north_n pole_n the_o altitude_n of_o the_o star_n between_o the_o two_o sight_n 9_o gr_n 15_o m._n the_o north_n pole_n depress_v 5_o gr_n and_o therefore_o the_o latitude_n 5_o gr_n to_o the_o southward_n 9_o to_o observe_v the_o altitude_n of_o the_o sun_n backward_o set_a the_o upper_a sight_n either_o to_o 60_o or_o 70_o or_o 80_o gr_n as_o you_o shall_v find_v it_o to_o be_v most_o convenient_a the_o low_a sight_n on_o any_o place_n between_o the_o middle_n and_o the_o other_o end_n of_o the_o bow_n and_o have_v a_o horizontall_a sight_n to_o be_v set_v to_o the_o centre_n then_o may_v you_o turn_v your_o back_n to_o the_o sun_n and_o the_o back_n of_o the_o bow_n towards_o yourself_o look_v by_o the_o low_a sight_n through_o the_o horizontall_a sight_n and_o move_v the_o low_a sight_n up_o &_o down_o until_o the_o upper_a sight_n do_v cast_v a_o shadow_n upon_o the_o middle_n of_o the_o horizontall_a sight_n so_o the_o degree_n contain_v between_o the_o two_o sight_n on_o the_o bow_n shall_v give_v the_o altitude_n require_v thus_o if_o the_o upper_a sight_n shall_v be_v at_o 80_o gr_n and_o the_o low_a sight_n at_o 50_o gr_n the_o altitude_n require_v be_v 30_o gr_n as_o in_o the_o three_o prop._n 10_o to_o find_v any_o north_n latitude_n by_o a_o back_n observation_n know_v either_o the_o day_n of_o the_o month_n or_o the_o declination_n of_o the_o sun_n when_o you_o observe_v in_o north_n latitude_n place_v your_o three_o sight_n on_o the_o fore_a side_n of_o the_o bow_n the_o upper_a sight_n to_o the_o declination_n of_o the_o sun_n or_o the_o day_n of_o the_o month_n at_o the_o north_n end_n the_o low_a sight_n towards_o the_o south_n end_n of_o the_o bow_n and_o the_o horizontall_a sight_n to_o the_o centre_n then_o the_o sun_n come_v to_o the_o meridian_n turn_v your_o face_n to_o the_o north_n &_o hold_v the_o north_n end_n of_o the_o bow_n upward_o the_o south_n end_v downward_o with_o the_o back_n of_o it_o towards_o yourself_o observe_v the_o shadow_n of_o the_o upper_a sight_n as_o in_o the_o former_a prop._n so_o the_o low_a sight_n shall_v show_v the_o latitude_n of_o the_o place_n in_o the_o before_o side_n of_o the_o bow_n thus_o be_v in_o north_n latitude_n upon_o the_o nine_o of_o october_n if_o you_o observe_v and_o find_v the_o low_a sight_n to_o stay_v at_o 50_o gr_n on_o the_o fore_a side_n of_o the_o bow_n such_o be_v the_o latitude_n for_o the_o declination_n be_v 10_o â—r_n southward_o and_o the_o altitude_n of_o the_o sun_n between_o the_o two_o sight_n 30_o gr_n the_o altitude_n of_o the_o equator_fw-la 40_o gr_fw-la and_o â—herefore_o the_o latitude_n 50_o gr_n as_o in_o the_o four_o prop._n 11_o to_o find_v any_o south_n latitude_n by_o a_o back_n observation_n know_v either_o the_o day_n of_o the_o month_n or_o the_o declination_n of_o the_o sun_n when_o you_o observe_v in_o south_n latitude_n place_v your_o three_o sight_n on_o the_o back_n side_n of_o the_o bow_n the_o upper_a sight_n to_o the_o declination_n of_o the_o sun_n or_o the_o day_n of_o the_o month_n at_o the_o south_n end_n the_o low_a sight_n toward_o the_o north_n end_n of_o the_o bow_n and_o the_o horizontall_a sight_n to_o the_o câ—nter_n then_o the_o sun_n come_v to_o the_o meridian_n turn_v your_o face_n to_o the_o south_n and_o hold_v the_o south_n end_n of_o the_o bow_n upward_o with_o the_o back_n of_o it_o towards_o yourself_o observe_v the_o shadow_n of_o the_o upper_a sight_n as_o before_o so_o the_o low_a sight_n shall_v show_v the_o latitude_n of_o the_o place_n in_o the_o back_n side_n of_o the_o bow_n thus_o be_v in_o the_o south_n latitude_n upon_o the_o ten_o
a_o vertical_a plane_n serve_v both_o for_o the_o meridian_n of_o the_o place_n and_o the_o hour_n of_o 12._o 2_o in_o this_o meridian_n line_n i_o make_v choice_n of_o a_o centre_n in_o the_o upper_a part_n of_o the_o line_n if_o it_o have_v be_v the_o southern_a face_n of_o the_o plane_n but_o here_o in_o c_o the_o low_a part_n of_o the_o line_n because_o we_o suppose_v it_o to_o be_v the_o northwest_o face_n of_o the_o plane_n and_o the_o style_n must_v point_v upward_o and_o upon_o this_o centre_n i_o describe_v a_o occult_a circle_n represent_v the_o decline_a vertical_a belong_v to_o this_o plane_n 4_o the_o substylar_n be_v draw_v i_o may_v inscribe_v the_o chord_n of_o the_o ark_n of_o the_o plane_n from_o the_o substylar_n and_o draw_v the_o houre-line_n and_o set_v up_o the_o style_n as_o in_o the_o former_a plane_n or_o the_o ark_n of_o the_o plane_n from_o the_o substylar_n be_v find_v as_o before_o we_o may_v draw_v the_o houre-line_n upon_o the_o plane_n otherwise_o then_o by_o chord_n for_o have_v draw_v the_o houre-line_n as_o in_o the_o last_o figure_n upon_o paper_n or_o paist-boord_n we_o shall_v find_v the_o most_o part_n of_o they_o in_o this_o and_o such_o like_a plane_n that_o have_v great_a declination_n to_o fall_v so_o close_o together_o that_o they_o can_v hardly_o be_v discern_v wherefore_o to_o draw_v they_o at_o large_a to_o the_o best_a advantage_n of_o the_o plane_n i_o leave_v out_o the_o centre_n and_o draw_v they_o by_o tangent_n as_o in_o the_o polar_n plane_n 1_o i_o consider_v the_o length_n and_o breadth_n of_o the_o plane_n whereon_o i_o be_o to_o draw_v the_o houre-line_n which_o i_o suppose_v to_o be_v a_o square_a who_o side_n be_v 36_o inch_n and_o find_v that_o the_o little_a square_a abde_n will_v contain_v both_o the_o substylar_n and_o all_o those_o houre-line_n which_o be_v require_v in_o the_o great_a square_a azcq_n 2_o i_o draw_v two_o parallel_a line_n fn_n gm_n cross_v the_o substylar_n at_o right_a angle_n in_o the_o point_v f_o &_o g_o so_o as_o they_o may_v best_o cross_v all_o the_o houre-line_n and_o yet_o the_o one_o be_v distant_a from_o the_o other_o as_o far_o as_o the_o plane_n will_v give_v i_o leave_v and_o i_o find_v by_o the_o sight_n of_o the_o figure_n that_o if_o ab_fw-la the_o side_n of_o the_o lesser_a square_n shall_v be_v 36_o inch_n the_o line_n cf_n will_v be_v about_o 115_o inch_n and_o the_o line_n cg_n about_o 100_o inch_n and_o therefore_o fg_v 15_o inch_n again_o that_o the_o point_n f_o will_v fall_v about_o 6_o inch_n below_o the_o upper_a horizontall_a side_n ab_fw-la and_o about_o 12_o inch_n from_o the_o next_o vertical_a side_n bd_o for_o i_o need_v not_o here_o stand_v upon_o part_n 3_o because_o these_o two_o parallel_a line_n be_v tangent_fw-la line_n in_o respect_n of_o circle_n draw_v upon_o the_o semidiameter_n cf_n cg_n and_o such_o tangent_n as_o belong_v to_o the_o arke_n of_o the_o plane_n between_o the_o substylar_n and_o the_o houre-line_n the_o proportion_n will_v hold_v as_o the_o tangent_fw-la of_o 45_o gr_n to_o the_o tangent_fw-la of_o the_o ark_n of_o the_o plane_n so_o the_o length_n of_o the_o semidiameter_n to_o the_o length_n of_o the_o tangent_fw-la line_n as_o for_o example_n the_o ark_n of_o the_o plane_n between_o the_o substylar_n and_o the_o hour_n of_o 1_o be_v 15_o gr_n 28_o m._n in_o the_o former_a table_n the_o semidiameter_n cf_n 115_o inch_n and_o the_o semidiameter_n cg_n 100_o inch_n wherefore_o i_o extend_v the_o compass_n from_o the_o tangent_fw-la of_o 45_o gr_n unto_o the_o tangent_fw-la of_o 15_o gr_n 28_o m._n the_o same_o extent_n will_v reach_v from_o 115_o in_o the_o line_n of_o number_n unto_o 31_o 82_o which_o show_v the_o length_n of_o the_o tangent_fw-la line_n between_o f_o in_o the_o substylar_n and_o the_o houre-line_n of_o 1_o to_o be_v 31_o inch_n 82_o cent_n or_o part_n of_o 100_o again_o the_o same_o extent_n will_v reach_v from_o 100_o unto_o 27_o 67_o and_o such_o be_v the_o length_n of_o the_o lesser_a tangent_fw-la from_fw-la g_o to_o the_o hour_n of_o 1._o the_o like_a reason_n hold_v for_o the_o length_n of_o the_o other_o tangent_n from_o the_o substylar_n to_o the_o rest_n of_o the_o hour_n as_o in_o the_o table_n as_o also_o for_o the_o height_n of_o the_o style_n above_o these_o tangent_fw-la line_n and_o so_o the_o angle_n of_o the_o style_n above_o the_o plane_n be_v 3_o gr_n 6_o m._n the_o height_n fk_n will_v be_v find_v to_o be_v 6_o inch_n 23_o cent_n and_o the_o height_n gl_n 5_o inch_n 42_o cent_n where_o the_o reader_n may_v observe_v that_o if_o the_o extent_n from_o the_o tangent_fw-la of_o 45_o gr_n to_o the_o tangent_fw-la of_o 3_o gr_n 6_o m._n or_o to_o 115_o in_o the_o line_n of_o number_n be_v too_o large_a for_o his_o compass_n he_o may_v use_v the_o tangent_fw-la of_o 5_o gr_n 43_o m._n in_o stead_n of_o the_o tangent_fw-la of_o 45_o gr_n as_o i_o note_v before_o pag._n 100_o 4_o have_v find_v these_o length_n and_o height_n and_o set_v they_o down_o in_o a_o table_n i_o come_v to_o the_o plane_n here_o resemble_v by_o the_o lesser_a square_a abde_n where_o i_o begin_v with_o a_o occult_a vertical_a fh_n about_o 12_o inch_n from_o the_o side_n bd_o and_o upon_o the_o centre_n f_o about_o 6_o inch_n below_o the_o side_n ab_fw-la describe_v a_o occult_a ark_n of_o a_o circle_n 5_o into_o this_o ark_n i_o first_o inscribe_v a_o chord_n of_o 38_o gr_n 23_o m._n the_o distance_n of_o the_o substylar_n from_o the_o meridian_n to_o make_v the_o angle_n hfg_v equal_a to_o the_o zct_n so_o the_o line_n fg_v shall_v be_v the_o substylar_n and_o then_o another_o chord_n of_o 51_o gr_n 37_o m._n the_o compliment_n of_o this_o distance_n to_o make_v up_o the_o right_a angle_n gfn_n so_o the_o line_n fn_n shall_v be_v the_o great_a of_o the_o two_o tangent_fw-la line_n before_o mention_v 6_o i_o set_v off_o 15_o inch_n from_o f_o unto_o g_z towards_o the_o centre_n and_o through_o g_o draw_v the_o lesser_a tangent_fw-la line_n gm_n parallel_v to_o the_o former_a 7_o these_o two_o occult_a tangent_fw-la line_n be_v thus_o draw_v i_o look_v unto_o the_o former_a table_n for_o the_o hour_n of_o 1_o and_o there_o find_v the_o ark_n of_o the_o plane_n between_o the_o substylar_n and_o the_o hour_n of_o 1_o to_o be_v 15_o gr_n 28_o m._n and_o the_o length_n belong_v to_o it_o in_o the_o great_a tangent_fw-la line_n to_o be_v 31_o inch_n 82_o cent_n in_o the_o lesser_a tangent_fw-la line_n 27_o inch_n 67_o cent_n wherefore_o i_o take_v out_o 31_o inch_n 82_o part_n and_o prick_v they_o down_o in_o the_o great_a tangent_fw-la from_o f_o to_o n_n and_o then_o 27_o inch_n 67_o part_n and_o prick_v they_o down_o in_o the_o lesser_a tangent_fw-la from_fw-la g_o to_o m_n and_o draw_v the_o mn_a for_o the_o hour_n of_o 1_o which_o if_o it_o be_v produce_v will_v cross_v the_o substylar_a fg_n in_o the_o centre_n c_o and_o there_o make_v the_o angle_n fcn_n 15_o gr_n 28_o m._n the_o like_a reason_n hold_v for_o the_o draw_v of_o all_o the_o rest_n of_o the_o houre-line_n last_o i_o set_v up_o the_o style_n right_o over_o the_o substylar_n so_o as_o the_o height_n fk_n may_v be_v 6_o inch_n 23_o cent_n and_o the_o height_n gl_n 5_o inch_n 42_o cent_n then_o shall_v kl_n represent_v the_o axis_fw-la of_o the_o world_n and_o if_o it_o be_v produce_v will_v cross_v the_o substylar_a fg_n in_o the_o centre_n c_o and_o there_o make_v the_o angle_n fck_n to_o be_v 3_o gr_n 6_o m._n and_o so_o be_v true_o place_v for_o cast_v of_o the_o shadow_n upon_o the_o houre-line_n in_o this_o decline_a plane_n chap._n viii_o to_o draw_v the_o houre-line_n in_o a_o meridian_n incline_v plane_n all_o those_o plane_n wherein_o the_o horizontall_a line_n be_v the_o same_o with_o the_o meridian_n line_n be_v therefore_o call_v meridian_n plane_n if_o they_o be_v right_a to_o the_o horizon_n they_o be_v call_v by_o the_o general_a name_n of_o meridian_n plane_n without_o far_a addition_n and_o be_v describe_v before_o if_o they_o lean_a to_o the_o horizon_n they_o be_v then_o call_v meridian_n incliner_n these_o may_v incline_v either_o to_o the_o east_n part_n of_o the_o horizon_n or_o to_o the_o west_n and_o each_o of_o they_o have_v two_o face_n the_o upper_a towards_o the_o zenith_n the_o low_a towards_o the_o nadir_n wherein_o know_v the_o latitude_n of_o the_o place_n and_o the_o inclination_n of_o the_o plane_n to_o the_o horizon_n we_o be_v to_o consider_v 1_o the_o inclination_n of_o the_o meridian_n of_o the_o plane_n to_o the_o meridian_n of_o the_o place_n 2_o the_o height_n of_o the_o pole_n above_o the_o plane_n 3_o the_o
extent_n will_v reach_v in_o the_o line_n of_o number_n from_o 21_o unto_o 12.11_o and_o so_o the_o length_n of_o the_o axis_fw-la of_o the_o style_n shall_v be_v 12_o inch_n 11_o cent_n or_o it_o may_v suffice_v to_o make_v it_o just_a 12_o inch_n as_o a_o more_o easy_a ground_n for_o the_o rest_n of_o the_o work_n but_o if_o it_o be_v require_v to_o proportion_v the_o style_n unto_o the_o plane_n so_o as_o it_o may_v cast_v the_o shadow_n to_o the_o full_a length_n of_o the_o substylar_a line_n at_o all_o time_n of_o the_o year_n you_o may_v then_o consider_v the_o sun_n in_o the_o tropic_n which_o be_v to_o be_v set_v near_o unto_o the_o centre_n and_o add_v 66_o gr_n 30_o m._n unto_o 34_o gr_n 33_o m._n so_o the_o remainder_n unto_o 180_o gr_n will_v be_v 78_o gr_n 57_o m._n and_o if_o you_o extend_v the_o compass_n from_o the_o sine_fw-la of_o 66_o gr_n 30_o m._n unto_o the_o sine_fw-la of_o 78_o gr_n 57_o m._n the_o same_o extent_n will_v reach_v in_o the_o line_n of_o number_n from_o 21_o unto_o 22.47_o for_o the_o length_n of_o the_o axis_fw-la of_o the_o style_n 2_o have_v the_o length_n of_o the_o axis_fw-la and_o the_o height_n of_o the_o style_n above_o the_o plane_n to_o find_v the_o length_n of_o the_o side_n of_o the_o style_n the_o style_n of_o a_o plane_n neither_o equinoctial_a nor_o polar_n may_v be_v either_o a_o small_a rod_n of_o iron_n set_v parallel_v to_o the_o axis_fw-la of_o the_o world_n or_o perpendicular_a to_o the_o plane_n or_o else_o a_o thin_a plate_n of_o iron_n or_o brass_n make_v in_o form_n of_o a_o rectangle_n triangle_n bac_n with_o the_o base_a bc_n parallel_v to_o the_o axis_fw-la of_o the_o world_n the_o side_n ab_fw-la perpendicular_a to_o the_o plane_n &_o the_o side_n ac_fw-la the_o same_o with_o the_o substylar_a line_n wherein_o know_v bc_n and_o the_o angle_n bac_n as_o the_o sine_fw-la of_o 90_o gr_n to_o the_o length_n of_o the_o axis_fw-la so_o the_o sine_fw-la of_o the_o height_n of_o the_o style_n to_o the_o length_n of_o the_o perpendicular_a side_n and_o so_o the_o cousin_n of_o the_o height_n of_o the_o style_n to_o the_o length_n of_o the_o substylar_a side_n thus_o in_o the_o former_a example_n the_o length_n of_o the_o axis_fw-la be_v suppose_v to_o be_v 12_o inch_n and_o the_o height_n of_o the_o style_n 34_o gr_n 33_o m._n extend_v the_o compass_n from_o the_o sine_fw-la of_o 90_o gr_n or_o else_o from_o the_o sine_fw-la of_o 5_o gr_n 45_o m._n unto_o 12_o in_o the_o line_n of_o number_n the_o same_o extent_n will_v reach_v from_o the_o sine_fw-la of_o 34_o gr_n 33_o m._n unto_o 6.80_o in_o the_o line_n of_o number_n for_o the_o length_n of_o the_o perpendicular_a side_n and_o from_o the_o sine_fw-la of_o 55_o gr_n 27_o m._n unto_o 9.88_o for_o the_o length_n of_o the_o substylar_a side_n 3_o to_o find_v the_o distance_n between_o the_o centre_n and_o the_o equator_fw-la upon_o the_o substylar_a line_n this_o be_v here_o represent_v by_o c_o ♈_o and_o may_v be_v find_v by_o resolve_v the_o rectangle_n triangle_n cb_n ♈_o as_o the_o cousin_n of_o the_o height_n of_o the_o style_n be_v to_o the_o sine_fw-la of_o 90_o gr_n so_o the_o length_n of_o the_o axis_fw-la to_o the_o distance_n of_o the_o equator_fw-la from_o the_o centre_n extend_v the_o compass_n from_o the_o sine_fw-la of_o 55_o gr_n 27_o m._n unto_o the_o sine_fw-la of_o 90_o gr_n the_o same_o extent_n will_v reach_v in_o the_o line_n of_o number_n from_o 12_o unto_o 14.57_o wherefore_o if_o you_o take_v 14_o inch_n 57_o cent_n and_o prick_v they_o down_o on_o your_o substylar_a line_n from_o c_o unto_o ♈_o draw_v a_o line_n through_o ♈_o cross_v the_o substylar_n at_o right_a angle_n the_o line_n so_o draw_v shall_v be_v the_o equator_fw-la 4_o to_o find_v the_o angle_n contain_v between_o the_o equator_fw-la and_o the_o houre-line_n upon_o your_o plane_n these_o angle_n make_v by_o b_o ♈_o and_o the_o houre-line_n be_v compliment_n of_o those_o which_o be_v at_o c_o between_o bc_n the_o axis_fw-la and_o those_o several_a houre-line_n and_o depend_v upon_o the_o angle_n at_o the_o pole_n between_o the_o proper_a meridian_n and_o the_o houre-circle_n as_o the_o sine_fw-la of_o 90_o gr_n to_o the_o cousin_n of_o the_o angle_n at_o the_o pole_n so_o the_o cotangent_fw-la of_o the_o height_n of_o the_o style_n to_o the_o tangent_fw-la of_o the_o angle_n between_o the_o equator_fw-la and_o the_o houreline_n in_o our_o example_n the_o height_n of_o the_o style_n be_v 34_o gr_n 33_o m._n and_o the_o proper_a meridian_n fall_v to_o be_v the_o same_o with_o the_o circle_n of_o the_o second_o hour_n after_o noon_n whereupon_o the_o angle_n at_o the_o pole_n between_o this_o proper_a meridian_n and_o the_o circle_n of_o the_o hour_n of_o 1_o on_o the_o one_o side_n and_z 3_o on_o the_o other_o side_n will_v be_v 15_o gr_n so_o between_o this_o meridian_n and_o the_o houre-circle_n of_o 12_o and_o 4_o the_o angle_n will_v be_v 30_o gr_n etc._n etc._n as_o in_o the_o table_n ho._n an._n po_n arc._n pla._n an._n equ_n c_o ♈_o c_o ♋_o c_o ♑_o gr._n m._n gr._n m._n gr._n m._n in._n p._n in._n p._n in._n p._n substy_n 0_o 0_o 0_o 0_o 55_o 27_o 14_o 57_o 20_o 80_o 11_o 21_o 1_o 3_o 15_o 0_o 8_o 38_o 54_o 30_o 14_o 74_o 21_o 36_o 11_o 25_o 12_o 4_o 30_o 0_o 18_o 8_o 51_o 30_o 15_o 33_o 23_o 44_o 11_o 40_o 11_o 5_o 45_o 0_o 29_o 33_o 45_o 45_o 16_o 75_o 29_o 06_o 11_o 76_o 10_o 6_o 60_o 0_o 44_o 30_o 36_o 0_o 20_o 00_o 50_o 84_o 12_o 77_o 9_o 7_o 75_o 0_o 64_o 42_o 20_o 36_o 34_o 10_o infin_fw-fr 15_o 82_o 8_o 8_o 90_o 0_o 90_o 0_o 0_o 0_o infinite_a  _fw-fr 27_o 60_o if_o then_o it_o be_v require_v to_o find_v the_o angle_n which_o the_o houre-line_n of_o 4_o after_o noon_n do_v make_v with_o the_o plane_n of_o the_o equator_fw-la that_o be_v the_o angle_n c_o 4_o b_o contain_v between_o the_o houre-line_n c_o 4_o and_z the_o line_n b_o 4_o draw_v from_o the_o top_n of_o the_o style_n unto_o the_o intersection_n of_o the_o houre-line_n of_o 4_o with_o the_o equator_fw-la extend_v the_o compass_n from_o the_o sine_fw-la of_o 90_o gr_n unto_o the_o sine_fw-la of_o 60_o gr_n the_o compliment_n of_o the_o angle_n at_o the_o pole_n the_o same_o extent_n will_v reach_v from_o the_o tangent_fw-la of_o 55_o gr_n 27_o m._n the_o compliment_n of_o the_o height_n of_o the_o pole_n unto_o the_o tangent_fw-la of_o 51_o gr_n 30_o m._n and_o such_o be_v the_o angle_n c_o 4_o b_o in_o the_o diagram_n pag._n 150._o or_o in_o crosse-worke_n if_o it_o be_v require_v to_o find_v the_o angle_n c_o 9_o b_o look_v into_o the_o table_n for_o the_o hour_n of_o 9_o and_o there_o you_o shall_v find_v the_o angle_n at_o the_o pole_n to_o be_v 75_o gr_n and_o if_o you_o extend_v the_o compass_n from_o the_o sine_fw-la of_o 90_o gr_n unto_o the_o tangent_fw-la of_o 55_o gr_n 27_o m._n the_o same_o extent_n will_v reach_v from_o the_o sine_fw-la of_o 15_o gr_n the_o compliment_n of_o 75_o gr_n unto_o the_o tangent_fw-la of_o 20_o gr_n 36_o m._n and_o such_o be_v the_o 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declination_n unto_o the_o angle_n at_o the_o equator_fw-la or_o if_o it_o shall_v fall_v without_o the_o equator_fw-la take_v the_o declination_n out_o of_o the_o angle_n at_o the_o equator_fw-la so_o shall_v you_o have_v the_o angle_n at_o the_o parallel_n then_o as_o the_o sine_fw-la of_o the_o angle_n at_o the_o parallel_n to_o the_o cousin_n of_o the_o declination_n so_o the_o length_n of_o the_o axis_fw-la of_o the_o style_n to_o the_o distance_n between_o the_o centre_n and_o the_o parallel_n thus_o in_o our_o example_n the_o angle_n at_o the_o equator_fw-la belong_v to_o
20_o 5_o sbw_n 13_o 5_o 10_o 39_o ssw_n 1_o 50_o 1_o 29_o  _fw-fr style_n 0_o 0_o swb_n 9_o 25_o 7_o 38_o sweet_z 20_o 40_o 16_o 58_o swbw_n 31_o 55_o 26_o 45_o wsw_n 43_o 10_o 37_o 11_o wb_n 54_o 25_o 48_o 30_o west_n 65_o 40_o 60_o 48_o wbn_n 76_o 55_o 73_o 58_o wnw_n 88_o 10_o 87_o 44_o these_o angle_n be_v know_v if_o on_o the_o centre_n v_n at_o the_o vertical_a point_n you_o describe_v a_o occult_a circle_n and_o therein_o inscribe_v the_o chord_n of_o these_o angle_n from_o the_o line_n uh_o and_o then_o draw_v right_a line_n through_o the_o vertical_a point_n and_o the_o term_n of_o those_o chord_n the_o line_n so_o draw_v shall_v be_v the_o azimuth_n require_v the_o like_a reason_n hold_v for_o the_o draw_v of_o the_o azimuth_n upon_o all_o other_o incline_v plane_n wheof_o you_o have_v another_o example_n in_o the_o diagram_n belong_v to_o the_o meridian_n incliner_n pag._n 126._o or_o for_o further_a satisfaction_n you_o may_v find_v where_o each_o azimuth_n line_n shall_v 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78_o 45_o 50_o 27_o 51_o 26_o 13_o 73_o 29_o 60_o east_n 90_o 0_o infinite_a infinite_a infinite_a infinite_a as_o in_o our_o example_n of_o the_o vertical_a plane_n where_o ab_fw-la the_o length_n of_o the_o style_n be_v suppose_v to_o be_v 10_o inch_n extend_v the_o compass_n from_o the_o sine_fw-la of_o 78_o gr_n 45_o m._n the_o compliment_n of_o 11_o gr_n 15_o m._n the_o angle_n at_o the_o zenith_n belong_v to_o sbe_n and_o sbw_n unto_o the_o sine_fw-la of_o 90_o gr_n the_o same_o extent_n will_v reach_v from_o 10.00_o the_o length_n of_o the_o style_n unto_o 10.20_o for_o the_o distance_n between_o the_o top_n of_o the_o
style_n and_o the_o intersection_n of_o the_o azimuth_n sbe_n with_o the_o horizontall_a line_n which_o distance_n may_v be_v call_v the_o secant_fw-la of_o the_o azimuth_n and_o may_v serve_v for_o the_o draw_v of_o the_o parallel_n of_o 45_o gr_n from_o the_o horizon_n the_o like_a reason_n hold_v for_o the_o rest_n of_o these_o distance_n here_o represent_v in_o the_o line_n bh_n 2_o to_o find_v the_o distance_n between_o the_o horizon_n and_o the_o parallel_n as_o the_o tangent_fw-la of_o 45_o gr_n to_o the_o tangent_fw-la of_o the_o parallel_n so_o the_o secant_fw-la of_o the_o azimuth_n to_o the_o distance_n require_v as_o if_o it_o be_v require_v to_o draw_v the_o parallel_n of_o 15_o gr_n from_o the_o horizon_n upon_o this_o vertical_a plane_n extend_v the_o compass_n from_o the_o tangent_fw-la of_o 45_o gr_n unto_o the_o tangent_fw-la of_o 15_o gr_n the_o same_o extent_n will_v reach_v in_o the_o line_n of_o number_n from_o 10._o 00_o the_o secant_fw-la of_o the_o south_n azimuth_n unto_o 2.68_o and_o therefore_o the_o distance_n between_o the_o horizon_n and_o the_o parallel_n of_o 15_o gr_n be_v 2_o inch_n 68_o cent_n upon_o the_o south_n azimuth_n again_o the_o same_o extent_n will_v reach_v from_o 10.20_o the_o secant_fw-la of_o sbe_n unto_o 2.73_o for_o the_o like_a distance_n belong_v to_o sbe_n and_o sbw_n and_o so_o for_o the_o rest_n which_o may_v be_v gather_v and_o set_v down_o in_o the_o table_n that_o do_v and_o the_o horizon_n and_o azimuth_n be_v draw_v prick_v down_o 10_o inch_n from_o the_o horizontall_a line_n upon_o the_o south_n azimuth_n &_o 10_o inch_n 20_o cent_n on_o the_o azimuth_n of_o sbe_n and_o sbw_n and_o 10_o inch_n 82_o cent_n on_o the_o azimuth_n of_o sse_n and_o ssw_n and_o 12_o inch_n 3_o cent_n on_o the_o azimuth_n of_o seb_n and_o swb_n and_o so_o the_o rest_n of_o these_o distance_n on_o their_o several_a azimuth_n then_o if_o you_o draw_v a_o crooked_a line_n through_o all_o these_o point_n that_o may_v make_v no_o angle_n the_o line_n so_o draw_v shall_v be_v the_o parallel_n of_o 45_o gr_n from_o the_o horizon_n in_o like_a manner_n may_v you_o draw_v the_o parallel_n of_o 15_o gr_n or_o any_o other_o parallel_n of_o altitude_n upon_o any_o vertical_a plane_n if_o the_o plane_n incline_v to_o the_o horizon_n after_o we_o have_v find_v the_o vertical_a point_n and_o draw_v the_o horizontall_a line_n we_o be_v far_a to_o find_v the_o length_n of_o the_o axis_fw-la of_o the_o horizon_n than_o the_o angle_n betwixt_o this_o axis_fw-la and_o the_o azimuth_n line_n and_o so_o the_o several_a distance_n between_o the_o parallel_n and_o the_o vertical_a point_n all_o which_o may_v be_v represent_v in_o this_o manner_n on_o the_o centre_n b_o and_o any_o semidiameter_n describe_v a_o occult_a quadrant_a of_o a_o circle_n and_o therein_o inscribe_v the_o chord_n of_o such_o parallel_n of_o altitude_n as_o you_o intend_v to_o draw_v on_o the_o plane_n draw_v right_a line_n through_o the_o centre_n and_o the_o term_n of_o these_o chord_n so_o the_o line_n bh_n shall_v be_v the_o horizon_n and_o his_o perpendicular_a bv_n the_o axis_fw-la of_o the_o horizon_n and_o the_o rest_n the_o line_n of_o altitude_n according_a to_o their_o distance_n from_o the_o horizon_n or_o have_v the_o sector_n you_o may_v draw_v a_o occult_a line_n we_o perpendicular_a to_o the_o axis_fw-la ub_z and_o therein_o prick_v down_o the_o tangent_fw-la of_o the_o compliment_n of_o the_o inclination_n of_o the_o plane_n from_o five_o unto_o e_o then_o draw_v the_o line_n of_o parallel_n to_o the_o axis_fw-la cross_v the_o line_n uh_o produce_v in_o the_o point_n f_o so_o this_o line_n of_o will_v be_v as_o the_o line_n of_o sin_n upon_o the_o sector_n and_o therein_o you_o may_v prick_v down_o the_o sin_n of_o the_o compliment_n of_o the_o angle_n at_o the_o zenith_n from_o e_o towards_o f_o and_o draw_v the_o vertical_a line_n by_o those_o point_n through_o the_o line_n of_o altitude_n so_o the_o angle_n at_o five_o between_o the_o axis_fw-la ub_z and_z those_o azimuth_n line_n shall_v be_v the_o angle_n between_o the_o axis_fw-la of_o the_o horizon_n and_o the_o azimuth_n line_n on_o your_o plane_n and_o the_o several_a distance_n between_o the_o point_n v_n and_o the_o line_n of_o altitude_n shall_v give_v the_o like_a distance_n between_o the_o vertical_a point_n and_o the_o parallel_n of_o altitude_n upon_o the_o azimuth_n in_o your_o plane_n upon_o this_o ground_n it_o follow_v 1_o to_o find_v the_o length_n of_o the_o axis_fw-la of_o the_o horizon_n the_o vertical_a point_n be_v always_o either_o direct_o over_o or_o under_o the_o top_n of_o the_o style_n and_o the_o distance_n between_o they_o be_v that_o which_o i_o call_v the_o axis_fw-la of_o the_o horizon_n which_o may_v thus_o be_v find_v as_o the_o cousin_n of_o the_o inclination_n to_o the_o sine_fw-la of_o 90_o gr_n so_o the_o length_n of_o the_o style_n to_o the_o length_n of_o the_o axis_fw-la of_o the_o horizon_n for_o example_n in_o the_o first_o of_o the_o three_o decline_a incline_a plane_n the_o inclination_n to_o the_o horizon_n be_v 36_o gr_n the_o length_n of_o the_o style_n ab_fw-la six_o inch_n extend_v the_o compass_n from_o the_o sine_fw-la of_o 54_o gr_n the_o compliment_n of_o the_o inclination_n unto_o the_o sine_fw-la of_o 90_o gr_n the_o same_o extent_n will_v reach_v in_o the_o line_n of_o number_n from_o 6.00_o unto_o 7.42_o &_o such_o be_v ub_z the_o length_n of_o the_o axis_fw-la require_v 2_o to_o find_v the_o angle_n contain_v between_o the_o horizon_n and_o the_o vertical_a line_n upon_o your_o plane_n the_o angle_n at_o the_o vertical_a point_n between_o the_o axis_fw-la of_o the_o horizon_n and_o the_o azimuth_n line_n upon_o your_o plane_n be_v represent_v in_o this_o figure_n by_o those_o at_o five_o between_z ub_z and_o the_o azimuth_n the_o angle_n between_o the_o horizon_n and_o the_o azimuth_n line_n be_v compliment_n to_o the_o former_a be_v represent_v either_o by_o those_o which_o be_v make_v by_o we_o or_o by_o bh_n and_o the_o azimuth_n line_n which_o be_v draw_v from_o v._n in_o our_o example_n where_o the_o inclination_n to_o the_o horizon_n be_v 36_o gr_n and_o the_o angle_n at_o the_o zenith_n between_o the_o azimuth_n at_o the_o style_n and_o the_o meridian_n be_v according_a to_o the_o declination_n 24_o gr_n 20_o m._n extend_v the_o compass_n from_o the_o sine_fw-la of_o 90_o gr_n unto_o the_o tangent_fw-la of_o 36_o gr_n the_o same_o extent_n will_v reach_v from_o the_o sine_fw-la of_o 65_o gr_n 40_o m._n the_o compliment_n of_o the_o angle_n at_o the_o zenith_n unto_o the_o tangent_fw-la of_o 33_o gr_n 30_o m._n for_o the_o angle_n contain_v between_o the_o horizon_n and_o the_o south_n part_n of_o the_o meridian_n line_n again_o the_o same_o extent_n will_v reach_v from_o the_o cousin_n of_o 35_o gr_n 35_o m._n the_o angle_n at_o the_o zenith_n belong_v to_o sbe_n unto_o the_o tangent_fw-la of_o 30_o gr_n 3_o m._n for_o the_o angle_n between_o the_o horizon_n and_o the_o azimuth_n line_n of_o sbe_n the_o like_a reason_n hold_v for_o the_o rest_n which_o may_v be_v find_v and_o set_v down_o in_o the_o table_n azimuth_n ang._n ze._n ang._n v._n ang._n ho_o horizon_n 11_o 18_o 26_o 34_o 45_o 0_o gr._n m._n gr._n m._n gr._n m._n inch._n p._n inch._n p_o inch._n p._n inch._n p._n east_n 114_o 25_o 119_o 12_o 16_o 40_o infinite_a  _fw-fr 38_o 60_o 11_o 05_o ebb_n 103_o 5_o 106_o 2_o 19_o 20_o 210_o 24_o 22_o 40_o 9_o 00_o e_o see_fw-la 91_o 50_o 92_o 16_o 1_o 20_o 41_o 98_o 15_o 57_o 7_o 60_o se_n be_v 80_o 35_o 78_o 25_o 6_o 47_o 62_o 82_o 23_o 44_o 12_o 07_o 6_o 68_o see_fw-la 69_o 20_o 65_o 0_o 14_o 23_o 29_o 87_o 16_o 79_o 10_o 12_o 6_o 00_o se_n b_n 58_o 5_o 52_o 25_o 21_o 0_o 20_o 70_o 13_o 61_o 8_o 99_o 5_o 79_o sse_n 46_o 50_o 40_o 46_o 26_o 25_o 16_o 68_o 11_o 90_o 8_o 31_o 5_o 53_o sbe_n 35_o 35_o 30_o 3_o 30_o 35_o 14_o 58_o 10_o 90_o 7_o 90_o 5_o 42_o south_n 24_o 20_o 20_o 5_o 33_o 30_o 13_o 44_o 10_o 32_o 7_o 66_o 5_o 35_o sbw_n 13_o 5_o 10_o 39_o 35_o 17_o 12_o 84_o 10_o 02_o 7_o 55_o 5_o 33_o ssw_n 1_o 50_o 1_o 29_o 35_o 59_o 12_o 62_o 9_o 90_o 7_o 47_o 5_o 31_o  _fw-fr style_n 0_o 0_o 36_o 0_o 12_o 62_o 9_o 90_o 7_o 47_o 5_o 31_o swb_n 9_o 25_o 7_o 38_o 35_o 37_o 12_o 74_o 9_o 96_o 7_o 50_o 5_o 32_o sweet_z 20_o 40_o 16_o 58_o 34_o 12_o 13_o 20_o 10_o 20_o 7_o 59_o 5_o 34_o swbw_n 31_o 55_o 26_o 45_o 31_o 40_o 14_o 13_o 10_o 67_o 7_o 81_o 5_o 39_o wsw_n 43_o 10_o 37_o 11_o 27_o 55_o 15_o 85_o 11_o 50_o 8_o 15_o 5_o 49_o wb_n 54_o 25_o