degree_n on_o the_o other_o side_n of_o the_o rule_n and_o lay_v off_o 15_o 30_o and_o 45_o for_o every_o whole_a hour_n or_o every_o 3_o degree_n and_o 45_o minute_n for_o every_o quarter_n from_o d_o and_o e_z toward_z f_o and_o g_o for_o 7_o 8_o 9_o and_o for_o 3_o 4_o and_o 5_o a_o clock_n hour_n point_v last_o set_v c_o d_o or_o b_o e_z in_o the_o tangent_fw-la of_o 45_o and_o lay_v the_o same_o point_n of_o 15_o 30_o 45_o both_o way_n from_o b_o or_o 12_o for_o 10_o 11_o and_o 1_o 2_o and_o to_o all_o those_o point_n draw_v line_n for_o the_o true_a hour-line_n require_v for_o lay_v down_o the_o style_v height_n if_o you_o take_v the_o latitude_n compliment_n out_o of_o the_o tangent-line_n as_o the_o sector_n stand_v to_o prick_v the_o noon_n hour_n and_o set_v it_o on_o the_o line_n d_o f_o or_o e_o g_o from_o d_o or_o e_z downward_o from_o d_o to_o h_n it_o will_v show_v you_o where_o to_o draw_v c_o h_n for_o the_o style_n then_o to_o those_o line_n set_v figure_n and_o plant_v the_o dial_n horizontal_a and_o the_o style_v perpendicular_a and_o right_a north_n and_o south_n and_o it_o shall_v show_v when_o the_o sun_n shine_v the_o true_a hour_n of_o the_o day_n note_v well_o the_o figure_n follow_v chap._n xii_o to_o draw_v a_o vertical_a direct_v south_n or_o north_n dyal_n first_o draw_v a_o perpendicular_a line_n for_o 12_o a_o clock_n then_o in_o that_o line_n at_o the_o upper_a end_n in_o the_o south_n plain_a and_o at_o the_o low_a end_n in_o a_o north_n plain_a appoint_v a_o place_n for_o the_o centre_n through_o which_o point_n across_o it_o at_o right_a angle_n a_o horizontall_a dial_n a_o south_n dial_n for_o 6_o and_o 6_o as_o you_o do_v in_o the_o horizontal_a plain_n as_o the_o line_n a_o b_o and_o c_o d_o on_o each_o side_n 12_o make_v two_o parallel_n as_o in_o the_o horizontal_a then_o take_v a_o d_o the_o parallel_n and_o fit_v it_o in_o the_o sine_fw-la of_o the_o latitude_n compliment_n and_o take_v out_o the_o sine_fw-la of_o 90_o and_o 90_o and_o lay_v it_o in_o the_o parallel_n from_o d_o and_o c_o to_z e_z and_o f_o and_o draw_v the_o line_n e_o f_o then_o make_v d_o e_z and_o b_o e_o tangent_n of_o 45_o and_o lay_v down_o the_o hour_n as_o you_o do_v in_o the_o horizontal_a and_o you_o shall_v have_v point_n whereby_o to_o draw_v the_o hour_n line_n for_o the_o north_n you_o must_v turn_v the_o hour_n both_o way_n for_o 4_o 5_o 8_o and_o 7_o in_o the_o morning_n and_o 4_o 5_o 7_o and_o 8_o at_o night_n the_o height_n of_o the_o stile_n must_v be_v the_o tangent_fw-la of_o the_o compliment_n of_o the_o of_o the_o latitude_n when_o the_o sector_n be_v set_v to_o lay_v off_o the_o hour_n from_o d_o as_o here_o it_o be_v lay_v down_o from_o c_o to_o g_z and_o draw_v the_o line_n a_o g_o for_o the_o stile_n for_o illustration_n sake_n note_v the_o figure_n chap._n xii_o to_o draw_v a_o erect_a east_n or_o west_n dial._n first_o by_o the_o five_o proposition_n of_o the_o second_o chapter_n draw_v a_o horizontal_a line_n as_o the_o line_n a_o b_o at_o the_o upper_a part_n of_o the_o plain_a then_o at_o one_o three_o part_n of_o the_o line_n a_o b_o from_o a_o the_o right_a end_n if_o it_o be_v a_o east_n plain_a or_o from_o b_o the_o left_a end_n if_o it_o be_v a_o west_n plain_a appoint_v the_o centre_n c_o from_o which_o point_n c_z draw_v the_o semicircle_n a_o e_o d_o and_o fit_a that_o radius_fw-la in_o the_o sine_fw-la of_o 30_o degree_n which_o in_o the_o chord_n be_v 60_o degree_n then_o take_v out_o the_o sine_fw-la of_o half_a the_o latitude_n and_o lay_v it_o from_o a_o to_o e_o and_o draw_v the_o line_n c_o e_z for_o six_o in_o the_o morning_n on_o the_o east_n or_o the_o contrary_a way_n for_o the_o west_n then_o lay_v the_o sine_fw-la of_o half_a the_o compliment_n of_o the_o latitude_n from_o d_o to_o f_o and_o draw_v the_o line_n c_o f_o for_o the_o contingent_a or_o equinoctial_a line_n to_o which_o line_n you_o must_v draw_v another_o line_n parallel_n as_o far_o a_o east_n dial_n a_o west_n dial_n asunder_o as_o the_o plain_n will_v give_v leave_n then_o take_v the_o near_a distance_n from_o a_o to_o the_o six_o a_o clock_n line_n or_o more_o or_o less_o as_o you_o best_o fancy_v and_o fit_v it_o in_o the_o tangent_fw-la of_o 45_o degree_n and_o prick_v down_o all_o the_o hour_n and_o quarter_n on_o both_o the_o equinoctial_a line_n both_o way_n from_o six_o and_o they_o shall_v be_v point_n whereby_o to_o draw_v the_o hoor_fw-mi line_n by_o but_o for_o the_o two_o hour_n of_o 10_o and_o 11_o there_o be_v a_o lesser_a tangent_fw-la beginning_n at_o 45_o and_o proceed_v to_o 75_o which_o use_v thus_o fit_v the_o space_n from_o six_o to_o three_o in_o the_o little_a tangent_fw-la of_o 45_o and_o then_o and_o then_o lie_v of_o 60_o in_o the_o little_a tangent_n from_o 6._o to_o 10_o and_o the_o tangent_fw-la of_o 75_o from_o 6_o to_o 11_o and_o the_o respective_a quarter_n also_o if_o you_o please_v so_o have_v you_o all_o the_o hourâ—s_n in_o the_o east_n or_o west_n dial_n the_o distance_n from_o six_o to_o nine_o or_o from_o six_o to_o three_o in_o the_o west_n be_v the_o height_n of_o the_o stile_n in_o the_o east_n and_o west_n dial_n and_o must_v stand_v in_o the_o six_o a_o clock_n line_n and_o parallel_v to_o the_o plain_a chap._n xiii_o to_o find_v the_o declination_n of_o any_o plain_a for_o the_o find_n of_o the_o declination_n of_o a_o plain_a the_o most_o usual_a and_o easy_a way_n be_v by_o a_o magnetical_a needle_n fit_v according_a to_o mr._n fail_v way_n in_o the_o index_n of_o a_o declinatory_n or_o in_o a_o square_a box_n with_o the_o 90_o degree_n of_o a_o quadrant_a on_o the_o two_o side_n or_o by_o a_o needle_n fit_v on_o the_o index_n of_o a_o quadrant_a after_o all_o which_o way_n you_o may_v have_v they_o at_o the_o sign_n of_o the_o sphere_n and_o sundial_n in_o the_o minory_n make_v by_o john_n brown_n but_o the_o work_n may_v be_v very_o ready_o and_o exact_o perform_v by_o the_o rule_n either_o by_o the_o sun_n or_o needle_n in_o this_o manner_n follow_v of_o which_o two_o way_n that_o by_o the_o sun_n be_v always_o the_o best_a and_o most_o exact_a and_o artificial_a and_o the_o other_o not_o to_o be_v use_v if_o i_o may_v advise_v but_o when_o the_o other_o fail_v by_o the_o sun_n not_o shine_v or_o as_o a_o proof_n or_o confirmation_n of_o the_o other_o and_o first_o by_o the_o needle_n because_o the_o easy_a for_o this_o purpose_n you_o must_v have_v a_o needle_n well_o touch_v with_o the_o loadstone_n of_o about_o three_o or_o four_o inch_n long_o and_o fit_v into_o a_o box_n somewhat_o broad_a than_o one_o of_o the_o leg_n of_o the_o sector_n with_o a_o lid_n to_o open_v and_o shut_v and_o on_o the_o inside_n of_o the_o lid_n may_v be_v draw_v a_o south_n erect_v dial_n and_o a_o wire_n to_o set_v the_o lid_n upright_o and_o a_o thread_n to_o be_v the_o gnomon_n or_o stile_n to_o that_o dial_n it_o will_v not_o be_v a_o miss_n also_o to_o extend_v the_o line_n on_o the_o horizontal_a part_n for_o the_o same_o thread_n be_v a_o stile_n for_o that_o also_o also_o on_o the_o bottom_n let_v there_o be_v a_o rabbit_n or_o grove_n make_v to_o fit_v the_o leg_n of_o the_o rule_n or_o sector_n so_o as_o be_v press_v into_o it_o it_o may_v not_o fall_v off_o from_o the_o rule_n if_o your_o hand_n shall_v shake_v or_o you_o cease_v to_o hold_v it_o there_o this_o be_v so_o fit_v the_o use_n follow_v in_o their_o order_n put_v your_o box_n and_o needle_n on_o that_o leg_n of_o the_o rule_n that_o will_v be_v most_o fit_a for_o your_o purpose_n and_o also_o the_o north_n end_n of_o the_o needle_n towards_o the_o wall_n if_o it_o be_v a_o south_n wall_n and_o the_o contrary_a if_o a_o north_n as_o the_o play_v of_o the_o needle_n will_v direct_v you_o better_a than_o the_o way_n how_o in_o a_o thousand_o word_n then_o open_a or_o close_o the_o rule_n till_o the_o needle_n play_v right_a over_o the_o north_n and_o south-line_n in_o the_o bottom_n of_o the_o box_n then_o the_o compliment_n of_o the_o angle_n that_o the_o sector_n stand_v at_o which_o may_v always_o be_v under_o 90_o degree_n be_v the_o declination_n of_o the_o plain_a but_o if_o it_o happen_v to_o stand_v at_o any_o angle_n above_o 90_o than_o the_o quantity_n thereof_o above_o 90_o be_v the_o declination_n of_o the_o wall_n to_o find_v the_o quantity_n of_o the_o angle_n the_o sector_n stand_v at_o may_v be_v do_v two_o way_n first_o by_o protraction_n by_o lay_v down_o the_o
rule_n so_o set_v on_o a_o board_n and_o draw_v two_o line_n by_o the_o leg_n of_o the_o sector_n and_o find_v the_o angle_n by_o a_o line_n of_o chord_n second_o more_o speedy_o and_o artificial_o thus_o by_o the_o line_n of_o sines_n be_v draw_v to_o 2._o 4_o or_o 6_o degree_n asunder_o the_o sector_n so_o set_v take_v the_o parallel_n sine_fw-la of_o 30_o and_o 30_o and_o measure_v it_o on_o the_o lateral_a sin_n from_o the_o centre_n and_o it_o shall_v reach_v to_o the_o sine_fw-la of_o half_a the_o angle_n the_o line_n of_o sin_n stand_v at_o be_v more_o by_o 2_o 4_o or_o 6_o degree_n then_o the_o sector_n stand_v at_o because_o it_o be_v draw_v one_o two_o or_o three_o degree_n from_o the_o inside_n or_o else_o take_v the_o latteral_a sine_fw-la of_o 30_o from_o the_o centre_n and_o keep_v one_o foot_n fix_v in_o 30_o turn_v the_o other_o till_o it_o cross_v the_o line_n of_o sin_n on_o that_o line_n next_o the_o inside_n and_o count_v from_o 90_o it_o shall_v touch_v at_o the_o angle_n the_o line_n of_o sin_n standsat_n be_v two_o degree_n more_o than_o the_o sector_n stand_v at_o the_o line_n be_v draw_v so_o will_v be_v as_o i_o conceive_v most_o convenien_a take_v a_o example_n i_o come_v to_o a_o south-east-wall_n and_o put_v my_o box_n and_o needle_n on_o my_o rule_n with_o the_o cross_n or_o north-end_n of_o the_o needle_n towards_o the_o wall_n and_o the_o rule_n be_v apply_v â—lat_a to_o the_o wall_n on_o the_o edge_n thereof_o on_o the_o even_a place_n thereof_o and_o hold_v level_a so_o as_o the_o needle_n may_v play_v well_o with_o the_o head_n of_o the_o rule_n towards_o your_o right_a hand_n as_o you_o shall_v find_v it_o to_o be_v in_o a_o east-wall_n most_o convenient_a then_o i_o open_v or_o close_o the_o rule_n till_o the_o needle_n play_v right_a over_o the_o north_n and_o south_n line_n in_o the_o bottom_n of_o the_o box_n then_o have_v get_v the_o angle_n take_v off_o the_o box_n or_o if_o you_o put_v it_o on_o the_o other_o side_n that_o labour_n may_v be_v save_v i_o take_v the_o parallel_n sine_fw-la of_o 30_o and_o measure_v it_o from_o the_o centre_n it_o reach_v suppose_v to_o the_o sine_fw-la of_o 20_o then_o be_v the_o line_n of_o sin_n at_o a_o angle_n of_o 40_o degree_n but_o the_o sector_n at_o two_o degree_n less_o viz._n 38_o degree_n who_o compliment_n 52_o be_v the_o declination_n then_o to_o consider_v which_o way_n mind_n thus_o first_o it_o be_v south_n because_o the_o sun_n be_v in_o the_o south_n shine_v on_o the_o wall_n second_o consider_v the_o sun_n be_v in_o the_o east_n it_o shine_v also_o on_o the_o wall_n therefore_o it_o be_v east_n plain_a thus_o have_v you_o get_v the_o denomination_n which_o way_n and_o also_o the_o quantity_n how_o much_o that_o way_n or_o if_o you_o take_v the_o latteral_a sine_fw-la of_o 30_o from_o the_o centre_n and_o turn_v the_o point_n of_o the_o compass_n from_o 30_o towards_o 90_o on_o the_o other_o leg_n you_o shall_v find_v it_o to_o reach_v to_o the_o sine_fw-la of_o 50_o degree_n who_o compliment_n count_v from_o 90_o be_v 40_o or_o rather_o 38_o for_o the_o reason_n before-said_a or_o else_o add_v 2_o to_o 50_o and_o you_o have_v the_o angle_n require_v without_o complement_n of_o it_o be_v the_o true_a declination_n seek_v for_o thus_o by_o the_o needle_n you_o may_v get_v the_o declination_n of_o any_o wall_n which_o in_o cloudy_a weather_n may_v stand_v you_o in_o good_a stead_n or_o to_o examine_v a_o observation_n by_o the_o sun_n as_o to_o the_o mis-counting_a or_o mistake_v therein_o but_o for_o exactness_n the_o sun_n be_v always_o the_o best_a because_o the_o needle_n though_o never_o so_o good_a may_v be_v draw_v aside_o by_o iron_n in_o the_o wall_n and_o also_o by_o some_o kind_n of_o brick_n therefore_o not_o to_o be_v too_o much_o trust_v unto_o to_o find_v a_o declination_n by_o the_o sun_n first_o open_v the_o rule_n to_o a_o angle_n of_o 60_o degree_n as_o you_o do_v to_o find_v the_o hour_n of_o the_o day_n and_o put_v a_o pin_n in_o the_o hole_n and_o hang_v the_o thread_n and_o plummet_n on_o the_o pin_n also_o you_o must_v have_v another_o thread_n somewhat_o long_o and_o grosser_n than_o that_o for_o the_o hour_n in_o a_o readiness_n for_o your_o use_n then_o apply_v the_o head_n leg_n to_o the_o wall_n if_o the_o sun_n be_v come_v on_o the_o plain_a and_o hold_v the_o rule_n horizontal_a or_o level_a then_o hold_v up_o the_o long_a thread_n till_o the_o shadow_n fall_v right_a over_o the_o pin_n or_o the_o centre_n hole_n at_o the_o same_o instant_n the_o shadow_n shall_v show_v on_o the_o degree_n how_o much_o the_o sun_n want_v of_o come_v to_o be_v just_a against_o the_o plain_a which_o i_o call_v the_o meridian_n or_o pole_n of_o the_o plain_a which_o number_n you_o must_v write_v down_o thus_o as_o suppose_v it_o fall_v on_o 40_o write_v down_o 40-00_a want_n then_o as_o soon_o as_o may_v be_v take_v the_o sun_n true_a altitude_n and_o write_v that_o down_o also_o with_o which_o you_o must_v find_v the_o sun_n azimuth_n then_o subtract_v the_o great_a out_o of_o the_o less_o and_o the_o remainder_n be_v the_o declination_n require_v but_o for_o a_o general_a rule_n take_v this_o if_o the_o sun_n do_v want_n of_o come_v to_o the_o meridian_n of_o the_o place_n and_o also_o want_v of_o come_v to_o the_o meridian_n of_o the_o plain_a than_o you_o must_v always_o subtract_v the_o great_a number_n out_o of_o the_o less_o whether_o it_o be_v forenoon_n or_o afternoon_n so_o likewise_o when_o the_o sun_n be_v pass_v the_o meridian_n and_o past_o the_o plain_a also_o but_o if_o the_o sign_n be_v unlike_a that_o be_v to_o say_v one_o past_o the_o plain_n or_o meridian_n and_o the_o other_o want_n either_o of_o the_o plain_a or_o meridian_n than_o you_o must_v add_v they_o together_o and_o the_o sum_n be_v the_o declination_n from_o the_o south_n which_o rule_n for_o better_a tenaciousness_n sake_n take_v in_o this_o homely_a rhyme_n sign_n both_o alike_o substraction_n do_v require_v but_o unlike_a sign_n addition_n do_v desire_v the_o further_a illustration_n by_o two_o or_o three_o example_n suppose_v on_o the_o first_o of_o may_n in_o the_o forenoon_n i_o come_v and_o apply_v the_o rule_n be_v open_v to_o his_o angle_n of_o 60_o degree_n to_o the_o wall_n viz._n the_o head_n leg_n or_o the_o leg_n where_o the_o centre_n be_v and_o hold_v up_o my_o thick_a thread_n and_o plummet_n so_o as_o the_o shadow_n of_o it_o cross_v the_o centre_n and_o at_o the_o same_o instant_n also_o on_o 60_o degree_n than_o i_o say_v the_o sun_n want_v 60_o deg_n of_o come_v to_o the_o meridian_n of_o the_o plain_a at_o the_o same_o instant_n or_o as_o soon_o as_o possible_a i_o can_v i_o take_v the_o sun_n altitude_n as_o before_o be_v show_v and_o set_v that_o down_o which_o suppose_v it_o to_o be_v 20_o degree_n then_o by_o the_o rule_v before_o get_v the_o sun_n azimuth_n for_o that_o day_n and_o altitude_n which_o in_o our_o example_n will_v be_v find_v to_o be_v 94_o degree_n from_o the_o south_n or_o meridian_n then_o in_o regard_n the_o sign_n be_v both_o alike_o i._n e._n want_n if_o you_o subtract_v one_o out_o of_o the_o other_o there_o remain_v 34_o the_o declination_n require_v but_o for_o the_o right_a denomination_n which_o way_n either_o north_n or_o south_n towards_o either_o east_n or_o west_n observe_v this_o plain_a rule_n first_o if_o the_o sun_n come_v to_o the_o meridian_n or_o pole_n of_o the_o plain_a before_o it_o come_v to_o the_o meridian_n or_o pole_n of_o the_o place_n than_o it_o be_v always_o a_o east-plain_a but_o if_o the_o contrary_a it_o be_v a_o west-plain_a that_o be_v to_o say_v if_o the_o sun_n come_v to_o the_o meridian_n or_o pole_n of_o the_o place_n before_o it_o come_v to_o the_o meridian_n or_o pole_n of_o the_o plain_a than_o it_o be_v a_o west-plain_a also_o if_o the_o sum_n or_o remainder_n after_o addition_n or_o substraction_n be_v under_o 90_o it_o be_v a_o south-plain_a but_o if_o it_o be_v above_o 90_o it_o be_v a_o north-plain_a also_o note_n that_o when_o the_o sum_n or_o remainder_n be_v above_o 90_o than_o the_o compliment_n to_o 180_o be_v always_o the_o declination_n from_o the_o north_n towards_o either_o east_n or_o west_n so_o that_o according_a to_o these_o rule_n in_o our_o example_n it_o be_v 34_o degree_n southeast_n again_o in_o the_o morning_n june_n 13._o i_o apply_v my_o rule_n to_o the_o wall_n and_o i_o find_v the_o sun_n be_v pass_v the_o pole_n or_o meridian_n of_o the_o plain_a 10_o degree_n and_o the_o altitude_n at_o the_o same_o time_n 15_o degree_n the_o azimuth_n at_o that_o altitude_n and_o
day_n in_o this_o latitude_n will_v be_v find_v to_o be_v 109_o degree_n want_v of_o south_n or_o pole_n of_o the_o place_n therefore_o unlike_o sign_n and_o to_o be_v add_v and_o they_o make_v up_o 119_o degree_n who_o compliment_n to_o 180_o be_v 61_o for_o 61_o and_o 119_o add_v make_v up_o 180_o therefore_o this_o plain_n decline_v 61_o degree_n from_o the_o north_n towards_o the_o east_n again_o the_o same_o day_n in_o the_o afternoon_n i_o find_v the_o azimuth_n past_o the_o south_n or_o meridian_n of_o the_o place_n 30_o degree_n and_o at_o the_o same_o time_n the_o sun_n want_v in_o come_v to_o the_o meridian_n or_o pole_n of_o the_o plain_a 10_o degree_n here_o by_o addition_n i_o find_v the_o declination_n to_o be_v 40_o degree_n south-west_n note_v what_o i_o have_v say_v in_o these_o three_o example_n be_v general_a at_o all_o time_n but_o if_o it_o be_v a_o fair_a day_n and_o time_n and_o opportunity_n serve_v to_o come_v either_o just_a at_o 12_o a_o clock_n when_o the_o sun_n be_v the_o meridian_n or_o pole_n of_o the_o place_n or_o just_o when_o the_o sun_n be_v in_o the_o meridian_n or_o pole_n of_o the_o plain_a than_o your_o work_n be_v only_o thus_o first_o if_o you_o come_v to_o observe_v at_o 12_o then_o apply_v your_o rule_n to_o the_o wall_n and_o hold_v up_o the_o thread_n and_o plummet_n how_o much_o so_o ever_o the_o sun_n want_v or_o be_v past_o the_o pole_n of_o the_o plain_a that_o be_v the_o declination_n if_o it_o be_v pass_v it_o be_v east-ward_n if_o it_o want_v it_o be_v south-west-ward_n if_o neither_o a_o just_a south_n plain_a and_o then_o the_o pole_n or_o meridian_n of_o place_n and_o plain_n be_v the_o same_o but_o second_o if_o you_o come_v when_o the_o sun_n be_v just_a in_o the_o pole_n of_o the_o plain_a than_o whatsoever_o you_o find_v the_o sun_n azimuth_n to_o be_v that_o be_v the_o declination_n if_o it_o want_v of_o south_n it_o decline_v east-ward_n if_o it_o be_v past_a it_o decline_v westward_n thus_o i_o have_v copious_o and_o yet_o very_o brief_o show_v you_o the_o most_o artificial_a way_n of_o get_v the_o declination_n of_o any_o wall_n howsoever_o situate_v note_v if_o the_o sun_n be_v above_o 15_o degree_n want_v of_o the_o meridian_n of_o the_o plain_a your_o rule_n will_v prove_v defective_a in_o take_v the_o plain_n meridian_n when_o the_o centre_n leg_n be_v next_o the_o wall_n than_o you_o must_v turn_v the_o other_o leg_n to_o the_o wall_n and_o then_o you_o find_v a_o supply_n for_o all_o angle_n to_o 45_o degree_n past_o the_o plain_a but_o for_o the_o supply_n of_o the_o rest_n which_o be_v 45_o degree_n do_v thus_o open_v the_o rule_n till_o the_o great_a line_n of_o tangent_n &_o the_o outside_n of_o the_o leg_n make_v a_o right_a angle_n for_o which_o on_o the_o head_n you_o may_v make_v a_o mark_n for_o the_o ready_a set_n then_o make_v the_o inside_n of_o the_o leg_n at_o the_o end_n of_o 45_o as_o a_o centre_n the_o tangent_n on_o the_o other_o leg_n supply_v very_o large_o the_o defect_n of_o the_o otherside_n or_o if_o you_o set_v on_o the_o box_n and_o needle_n on_o the_o rule_n and_o open_a or_o shut_v the_o rule_n till_o the_o shadow_n of_o the_o thread_n show_v just_a 12_o than_o the_o angle_n the_o sector_n stand_v at_o be_v the_o compliment_n of_o what_o the_o sum_n want_v or_o be_v past_o the_o meridian_n or_o pole_n of_o the_o plain_a chap._n fourteen_o to_o draw_v a_o vertical_a decline_a plain_n to_o any_o declination_n first_o draw_v a_o perpendicular-line_n for_o 12_o as_o a_o b_o then_o design_v a_o point_n in_o that_o line_n for_o the_o centre_n as_o c_o at_o the_o upper_a end_n if_o it_o be_v a_o south_n plain_a or_o contrary_a if_o it_o be_v a_o north_n plain_a then_o on_o that_o centre_n describe_v a_o arch_n of_o a_o circle_n on_o that_o side_n of_o 12_o which_o be_v contrary_a to_o the_o plain_n declination_n as_o d_o e_z and_o in_o that_o arch_n lie_v off_o from_o 12_o the_o substile_a and_o on_o that_o the_o style_n height_n and_o the_o hour_n of_o 6_o be_v find_v by_o the_o ten_o chapter_n and_o draw_v those_o line_n from_o c_o the_o centre_n then_o draw_v two_o parallel_n to_o 12_o as_o in_o the_o direct_a south_n then_o fit_a the_o distance_n of_o the_o parallel_n in_o the_o secant_fw-la of_o the_o declination_n and_o take_v the_o secant_fw-la of_o the_o latitude_n and_o set_v it_o from_o the_o centre_n c_o on_o the_o line_n of_o 12_o to_o f_o and_o on_o the_o parallel_n from_o 6_o to_z g_z and_o draw_v a_o line_n by_o those_o two_o point_n f_o and_o g_o to_o cut_v the_o other_o parallel_n in_o h_n then_o have_v you_o find_v 6_o 3_o and_o 9_o then_o fit_a 6_o g_o in_o the_o tangent_fw-la of_o 45_o and_o prick_v off_o 15_o 30_o and_o the_o respective_a quarter_n both_o way_n from_o 6_o for_o the_o morning_n and_o afternoon_n hour_n then_o fit_a f_o g_o in_o 45_o and_o lay_v off_o the_o same_o point_n from_o f_o both_o way_n for_o 10_o 11_o 1_o and_o 2_o and_o the_o quarter_n also_o if_o you_o please_v and_o those_o shall_v be_v point_n to_o draw_v the_o hour-line_n by_o the_o stile_n must_v be_v set_v perpendicular_a over_o the_o substile_a to_o the_o angle_n find_v by_o the_o rule_n in_o the_o ten_o chapter_n and_o then_o the_o dial_n shall_v show_v the_o true_a hour_n of_o the_o day_n be_v draw_v fit_a to_o his_o proper_a declination_n another_o way_n to_o perform_v this_o geometrical_o for_o all_o erect_a dial_n with_o centre_n when_o you_o have_v draw_v a_o line_n of_o 12_o and_o appoint_v a_o centre_n make_v a_o geometrical_a square_n on_o that_o side_n 12_o as_o the_o stile_n must_v stand_v on_o as_o a_o b_o c_o d_o the_o perpendicular_a side_n of_o which_o square_a may_v also_o be_v the_o parallel_n as_o before_o again_o fit_v the_o side_n of_o the_o square_n in_o the_o cousin_n of_o the_o latitude_n and_o take_v out_o the_o sine_fw-la of_o the_o latitude_n and_o fit_a that_o over_o in_o the_o sine_fw-la of_o 90_o then_o take_v out_o the_o 〈◊〉_d sine_fw-la of_o the_o declination_n and_o lay_v it_o from_o d_o to_z g_z for_o the_o hour_n of_o 6_o and_o draw_v the_o line_n a_o g_o for_o the_o 6_o a_o clock_n hour_n line_n then_o again_o fit_v the_o side_n of_o the_o square_n or_o the_o distance_n of_o the_o parallel_n in_o the_o other_o way_n when_o you_o want_v a_o secant_fw-la or_o your_o secant_fw-la too_o little_a in_o the_o sine_fw-la of_o 90_o and_o take_v out_o the_o cousin_n of_o the_o declination_n fit_a that_o in_o the_o cousin_n of_o the_o latitude_n then_o take_v out_o the_o sine_fw-la of_o 90_o and_o lay_v it_o from_o the_o centre_n on_o the_o line_n of_o 12_o and_o 〈◊〉_d 6_o in_o the_o side_n of_o the_o square_n and_o by_o those_o two_o point_n draw_v the_o contingent_a line_n and_o then_o fit_a those_o point_n or_o distance_n in_o the_o tangent_fw-la of_o 45_o and_o lay_v down_o the_o hour_n as_o in_o the_o former_a part_n of_o this_o chapter_n but_o if_o you_o want_v the_o hour_n before_o 9_o in_o west-decliners_a or_o the_o hour_n after_o 3_o in_o east-decliners_a and_o the_o 6_o fall_v too_o high_a above_o the_o horizontal_a line_n on_o that_o side_n you_o may_v supply_v this_o defect_n thus_o take_v the_o measure_n with_o your_o compass_n from_o 3_o to_o 4_o and_o 5_o upward_o in_o the_o west-decliners_a or_o from_o 9_o to_o 7_o and_o 8_o in_o east-decliners_a and_o lay_v it_o upward_o from_o 9_o or_o 3_o on_o the_o deficient_a side_n in_o the_o parallel_n as_o it_o shall_v have_v be_v from_o 6_o downward_o in_o south_n or_o upward_o in_o north_n plain_n and_o you_o shall_v see_v all_o your_o defective_a point_n to_o be_v complete_o supply_v whereunto_o draw_v the_o hour-line_n according_o chap._n xv_o to_o draw_v the_o hour-line_n on_o a_o upright_a decline_a dial_n decline_v above_o 60_o degree_n in_o all_o erect_a decliner_n the_o way_n of_o find_v the_o stile_n substile_a 6_o and_o 12_o and_o inclination_n of_o meridian_n be_v the_o same_o but_o when_o you_o come_v to_o protract_v or_o lay_v down_o the_o hour-line_n you_o shall_v find_v they_o come_v so_o close_o together_o as_o they_o will_v be_v useless_a unless_o the_o stile_n be_v augment_v the_o usual_a way_n for_o do_v of_o which_o be_v to_o draw_v the_o dial_n on_o a_o large_a floor_n and_o then_o cut_v off_o so_o much_o and_o at_o such_o a_o distance_n as_o best_o serve_v your_o turn_n but_o this_o be_v not_o always_o to_o be_v affect_v for_o want_v of_o conveniency_n and_o large_a instrument_n it_o may_v very_o artificial_o be_v do_v by_o a_o natural_a tangent_fw-la of_o 75_o or_o 80_o degree_n fit_v on_o the_o leg_n of_o a_o