think_v may_v fit_v the_o plain_n set_v off_o the_o point_n g_o then_o make_v give_v radius_fw-la of_o 45_o tang._n set_v off_o on_o ab_fw-la from_o a_o the_o tang._n of_o the_o style_n elevation_n to_o f_o and_o draw_v the_o line_n fg_v as_o a_o obscure_a line_n then_o come_v to_o the_o dial_n plain_a and_o measure_n from_o the_o centre_n to_o the_o place_n on_o the_o substile-line_n where_o you_o will_v have_v your_o remote_a line_n of_o the_o sign_n ♋_o or_o ♑_o to_o pass_n and_o take_v this_o distance_n between_o your_o compass_n and_o carry_v it_o in_o above_z or_o below_o the_o line_n fg_v first_o draw_v and_o produce_v to_o ♋_o or_o ♑_o till_o you_o find_v one_o point_v to_o stay_v in_o a_o ♋_o and_o the_o other_o in_o agnostus_n so_o as_o to_o draw_v a_o line_n =_o to_o fg_n first_o draw_v if_o that_o do_v not_o fit_a than_o deal_n fg_n and_o draw_v this_o =_o to_o it_o in_o its_o stead_n to_o fit_a and_o fill_v the_o plain_a with_o the_o tropic_n to_o your_o mind_n to_o make_v they_o large_a and_o yet_o convenient_a then_o note_n the_o point_n g_z represent_v the_o centre_n of_o the_o dial_n agnostus_n be_v the_o length_n of_o the_o style_n from_o the_o centre_n to_o the_o nodus_fw-la a_o perpendicule_a let_v fall_v from_o a_o to_o fg_n show_v the_o point_n h_n gh_n be_v the_o measure_n on_o the_o substile-line_n on_o the_o plain_a from_o the_o centre_n to_o the_o horizontal-line_n ha_o be_v the_o perpendicule_a height_n of_o the_o style_n a_o the_o apex_n or_o top_n of_o the_o style_n or_o nodus_fw-la to_o give_v the_o shadow_n then_o draw_v a_o line_n from_o g_o =_o to_o ab_fw-la as_o lk_v and_o any_o where_o between_o ab_fw-la draw_v lm_o =_o to_o agnostus_n and_o wheresoever_o fg_n cut_v lm_o make_v a_o mark_n as_o at_o m_n then_o make_v lm_o a_o =_o sine_fw-la of_o 90_o degree_n and_o the_o sector_n so_o set_v take_v out_o the_o sine_fw-la compliment_n of_o the_o ark_n at_o the_o pole_n for_o every_o hour_n and_o lay_v they_o from_o l_o towards_o m_n on_o the_o line_n lm_o and_o to_o all_o those_o point_n draw_v line_n from_o g_o and_o mark_v they_o with_o 12_o 1_o 2_o 3_o 4_o etc._n etc._n as_o in_o the_o table_n or_o else_o take_v the_o measure_n from_o g_o to_o f_o and_o lay_v it_o on_o the_o dial_n from_o the_o centre_n on_o the_o substile_a and_o draw_v that_o line_n precise_o perpendicule_a to_o the_o substile_a for_o the_o true_a equinoctial-line_n on_o the_o plain_a then_o the_o measure_n from_o the_o centre_n of_o the_o dial_n to_o the_o cross_v of_o every_o hour-line_n and_o the_o equinoctial-line_n take_v and_o lay_v from_o g_o to_o the_o line_n ab_fw-la give_v point_n to_o draw_v the_o hour-line_n on_o the_o trygon_n as_o in_o the_o figure_n wherein_o you_o may_v note_v that_o if_o the_o substile_n happen_v to_o fall_v on_o a_o even_o whole_a or_o half_a hour_n than_o one_o line_n will_v serve_v on_o both_o side_n of_o the_o substile_a but_o if_o not_o you_o must_v draw_v as_o many_o more_o and_o set_v figure_n to_o they_o to_o avoid_v confusion_n then_o i_o say_v that_o the_o several_a distance_n from_o g_o to_o the_o cross_n of_o those_o hour-line_n last_o draw_v on_o the_o trygon_n and_o the_o sign_n be_v lay_v on_o their_o correspondent_a hour-line_n from_o the_o centre_n of_o the_o dial_n shall_v give_v point_n in_o those_o hour-line_n to_o draw_v the_o sign_n of_o the_o zodiac_n with_o a_o thin_a rule_n that_o will_v bend_v to_o those_o hyperbolic_a section_n the_o same_o way_n serve_v to_o draw_v the_o parallel_n of_o the_o length_n of_o the_o day_n if_o you_o lay_v the_o distunce_n from_o g_z the_o cross_n of_o the_o prick_v line_n and_o hour_n on_o the_o trygon_n and_o be_v as_o true_a as_o any_o other_o way_n by_o calculation_n which_o must_v afterward_o be_v perform_v by_o protraction_n in_o this_o manner_n thus_o you_o have_v the_o way_n to_o proportion_v the_o height_n of_o the_o style_n to_o fit_v the_o plain_n and_o the_o place_n of_o the_o horizontal-line_n in_o all_o erect-dials_n which_o be_v always_o perpendicule_a to_o 12_o and_o draw_v through_o that_o point_n across_o the_o plain_n and_o this_o way_n of_o draw_v the_o sign_n be_v general_a in_o all_o plain_n whatsoever_o that_o will_v admit_v they_o ii_o to_o find_v the_o horizontal-line_n in_o all_o manner_n of_o plain_n first_o the_o horizontal-plain_a can_v have_v none_o nor_o many_o other_o both_o recline_a and_o incline_v who_o reclination_n or_o inclination_n be_v above_o the_o compliment_n of_o the_o sun_n meridian_n altitude_n in_o ♑_o if_o the_o style_n have_v any_o considerable_a altitude_n in_o all_o other_o plain_n the_o best_a mechanic_n way_n be_v thus_o the_o dial_n be_v set_v in_o or_o as_o in_o his_o place_n apply_v the_o moveing-leg_n to_o the_o top_n of_o the_o style_n &_o one_o corner_n of_o it_o to_o the_o plain_a and_o at_o the_o same_o time_n let_v the_o thread_n play_v even_o on_o 600_o and_o the_o corner_n at_o the_o plain_n will_v make_v as_o many_o mark_n as_o you_o please_v to_o draw_v it_o by_o otherwise_o note_n that_o wheresoever_o the_o hour-line_n of_o 6_o and_o the_o equinoctial-line_n do_v meet_v there_o be_v one_o point_n then_o find_v at_o what_o hour_n and_o minute_n the_o sun_n do_v rise_v or_o set_v at_o in_o the_o begin_n of_o any_o other_o whole_a sign_n most_o remote_a from_o the_o first_o point_n and_o that_o shall_v be_v another_o and_o so_o as_o many_o as_o you_o please_v to_o draw_v that_o line_n by_o this_o be_v general_a for_o all_o plain_n to_o find_v that_o point_n by_o the_o trianguler-quadrant_n lay_v the_o thread_n to_o the_o sign_n give_v and_o in_o the_o hour-line_n be_v the_o hour_n and_o minute_n require_v thus_o the_o sun_n be_v in_o ♈_o rise_v and_o set_v at_o 6_o or_o 1_o quarter_n of_o a_o minute_n before_o or_o after_o and_o in_o ♉_o at_o just_a 5_o and_o set_v at_o 7_o in_o ♊_o at_o 9_o minute_n after_o 4_o or_o set_v 9_o minute_n before_o 8_o the_o like_a for_o winter_n sign_n iii_o to_o draw_v the_o old_a unequal_a hour_n the_o unequal_a jewish_a or_o planetary_a hour_n divide_v the_o day_n be_v it_o long_o or_o short_a into_o 12_o equal_a hour_n for_o the_o draw_v of_o which_o in_o the_o equinoctial_a the_o common_a hour_n give_v point_n for_o the_o tropic_n do_v thus_o divide_v the_o number_n of_o minute_n in_o the_o long_a and_o short_a day_n by_o 12_o viz._n divide_v 986_o the_o minute_n in_o one_o day_n in_o ♋_o at_o london_n by_z 12_o the_o quotient_n be_v 82_o ½_o and_o divide_v 454_o the_o number_n of_o minute_n in_o one_o day_n at_o london_n in_o ♑_o and_o the_o quotient_n shall_v be_v 37′_n ¾_n then_o if_o you_o fasten_v a_o index_n or_o lay_v a_o rule_n to_o the_o centre_n and_o to_o every_o 1_o hour_n and_o 22′_n ½_o in_o ♋_o from_o 12_o and_o to_o every_o 37′_n ¾_n in_o ♑_o it_o shall_v give_v point_n to_o draw_v the_o jewish_a or_o planetary_a hour_n require_v according_a to_o this_o table_n thus_o make_v for_o london_n by_o the_o line_n of_o number_n against_o 12_o set_n 6_o and_o the_o rest_n in_o order_n as_o the_o day_n proceed_v for_o our_o 12_o be_v the_o 6_o hour_n according_a to_o the_o jew_n to_o make_v this_o table_n ready_o by_o the_o line_n of_o number_n a_o table_n to_o divide_v the_o planetary_a hour_n in_o ♋_o and_o in_o ♑_o for_o london_n 51-32_a latitude_n h_o ♑_o m_o how_o h_o ♋_o m_o 8_o 43_o 1_o 5_o 10_o 9_o 28_o 2_o 6_o 31_o 10_o 16_o 3_o 7_o 52_o 10_o 44_o 4_o 9_o 15_o 11_o 22_o 5_o 10_o 37_o 12_o 00_o 6_o 12_o 00_o 12_o 37_o 7_o 1_o 22_o 1_o 15_o 8_o 2_o 44_o 1_o 53_o 9_o 4_o 06_o 2_o 31_o 10_o 5_o 29_o 3_o 8_o 11_o 6_o 51_o 3_o 47_o 12_o 8_o 13_o extend_v the_o compass_n from_o 16-26_a the_o length_n of_o the_o long_a day_n in_o hour_n and_o minute_n to_o 1_o the_o same_o extent_n shall_v reach_v the_o contrary_a way_n from_o 60_o to_o 986_o the_o number_n of_o minute_n in_o one_o day_n or_o rather_o as_o 1_o hour_n to_o 60_o minute_n so_o be_v 16_o hour_n 26′_n to_o 986_o minute_n then_o as_o 1_o to_o 82_o minute_n ¼_n so_o be_v 2_o to_o 164_o minute_n ½_o so_o be_v 3_o to_o 246_o minute_n ¾_n or_o you_o may_v say_v as_o 12_o to_z 1_o so_o be_v 986_o to_o 82-2_a the_o minute_n in_o 1_o hour_n which_o proper_o be_v one_o hour_n 22_o minute_n the_o length_n of_o one_o hour_n in_o cancer_n then_o the_o second_o hour_n be_v 2_o hour_n 44_o ½_o the_o three_o hour_n be_v 4_o hour_n and_o 6′_n ¾_n from_o 12_o and_o so_o for_o the_o rest_n as_o in_o the_o forego_n table_n for_o london_n but_o if_o you_o draw_v the_o parallel_n of_o
00_o 00_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr 15_o 56_o 13_o 25_o 06_o 41_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr 13_o 44_o 11_o 11_o 04_o 23_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr 11_o 35_o 8_o 59_o 02_o 08_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr 5_o 9_o 32_o 6_o 50_o 00_o 06_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr 7_o 23_o 4_o 44_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr 5_o 26_o 2_o 41_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr 3_o 36_o 0_o 41_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr 4_o 1_o 32_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr the_o description_n and_o some_o use_v of_o the_o sphere_n for_o dial_v and_o for_o the_o better_a understanding_n of_o the_o general_a and_o particular_a scheme_n next_o the_o foot_n and_o semicircle_n frame_v for_o support_v of_o it_o you_o may_v consider_v 1._o the_o fix_a horizon_n to_o which_o the_o foot_n be_v fasten_v with_o 4_o screw_n number_v and_o divide_v into_o 360_o degree_n or_o four_o 90_o deg_n who_o count_n begin_v at_o the_o dividee_n side_n of_o the_o meridian-circle_n 2._o the_o meridian_n circle_n who_o fore-side_n at_o the_o nadir-point_n stand_v in_o the_o centre_n of_o the_o foot_n this_o be_v also_o divide_v into_o 4_o 90_o s_o and_o begin_v to_o be_v number_v at_o the_o south_n and_o north_n part_n of_o the_o horizon_n upward_o towards_o the_o zenith_n and_o downward_o towards_o the_o nadir_n which_o circle_n be_v always_o fix_v as_o the_o horizon_n be_v 3._o the_o equinoctial_a circle_n make_v fast_o at_o the_o east_n and_o west_n point_v of_o the_o horizon_n move_v up_o and_o down_o upon_o the_o meridian-circle_n according_a to_o the_o elevation_n of_o the_o equinoctial_a in_o any_o latitude_n this_o be_v divide_v â—â—kewise_o into_o four_o 90_o s_o &_o number_v from_o the_o meridian_n each_o way_n to_o the_o east_n and_o west_n point_v of_o the_o horizon_n 4._o on_o the_o meridian_n circle_n be_v set_v 2_o movable_a pole_n to_o be_v elevate_v or_o depress_v fit_a to_o the_o latitude_n of_o any_o place_n on_o the_o fiducial-edge_n of_o which_o be_v fasten_v the_o thread_n represent_v the_o axis_n of_o the_o world_n at_o any_o elevation_n of_o the_o pole_n 5._o on_o the_o 2_o pole_n point_n be_v fasten_v the_o hour_n circle_n which_o delineate_v or_o represent_v the_o motion_n of_o the_o sun_n or_o any_o fix_a star_n move_v in_o its_o suppose_a diurnal_a motion_n about_o the_o pole_n of_o the_o world_n and_o may_v not_o improper_o be_v call_v the_o movable_a meridian_n circle_n or_o hour_n circle_n divide_v as_o before_o 6._o the_o movable_a horizon_n that_o move_v about_o to_o any_o azimuth_n and_o slide_v or_o move_v in_o the_o fix_a horizon_n 7._o the_o plain_a fix_v in_o 2_o opposite_a point_n to_o the_o move_a horizon_n be_v set_v either_o horizontal_a when_o it_o lie_v parallel_v to_o the_o fix_a horizon_n or_o erect_v when_o perpendicule_a thereunto_o or_o set_v to_o any_o reclination_n or_o inclination_n by_o help_n of_o the_o semicircle_n of_o reclination_n fasten_v to_o the_o backside_n of_o the_o plain_a in_o the_o 2_o pole_n thereof_o 8._o you_o have_v the_o upper_a move_a semicircle_n in_o turn_v about_o of_o which_o whatever_o degree_n the_o fore-side_n of_o the_o semicircle_n cut_v the_o perpendiculer-point_n cut_v the_o compleâ—ment_n thereof_o and_o to_o be_v call_v the_o upper_a semicircle_n or_o circle_n always_o perpendicuâ—ler_n to_o the_o plain_a 9_o there_o aught_o to_o be_v a_o thread_n fasten_v in_o the_o centre_n of_o the_o plain_a to_o be_v extend_v to_o any_o altitude_n or_o azimuth_n require_v thus_o much_o for_o description_n repeat_v again_o in_o short_a thus_o the_o horizon_n the_o meridian_n the_o equinoctial_a circle_n the_o 2_o pole_n point_n and_o axis_n the_o hour_n circle_n or_o movable_a meridian_n the_o movable_a horizon_n the_o plain_a the_o semicircle_n of_o reclination_n the_o upper_a semicircle_n and_o the_o thread_n note_v also_o every_o circle_n be_v divide_v into_o 4_o time_n 90_o and_o number_v the_o most_o useful_a way_n also_o on_o the_o plain_n be_v set_v the_o 12_o month_n and_o every_o single_a day_n on_o which_o every_o respective_a day_n if_o you_o extend_v the_o thread_n then_o in_o the_o degree_n be_v the_o sun_n right_a ascension_n in_o degree_n on_o the_o innermost_a circle_n the_o same_o in_o hour_n and_o quarter_n from_o the_o next_o equinoctial-point_n on_o the_o line_n of_o declination_n his_o mean_a declination_n on_o the_o line_n of_o â—he_n sun_n place_n his_o mean_a true_a place_n sufficient_o true_a for_o any_o illustration_n in_o mathematical_a practice_n the_o use_v whereof_o in_o some_o part_n follow_v 1._o to_o rectify_v the_o sphere_n to_o any_o latitude_n count_v the_o elevation_n of_o the_o pole_n on_o the_o meridian_n circle_n from_o the_o horizon_n upward_o and_o downward_o from_o the_o north_n and_o south_n part_n of_o the_o horizon_n and_o there_o make_v fast_o with_o the_o help_n of_o the_o small_a screw_n the_o fiducial-edge_n of_o the_o pole_n point_n carry_v the_o hour_n circle_v fix_v upon_o they_o than_o the_o pole_n be_v right_o elevate_v 2._o count_n the_o compliment_n of_o the_o pole_n elevation_n on_o the_o meridian_n from_o the_o south_n part_n of_o the_o horizon_n and_o to_o it_o set_v the_o divide_a side_n of_o the_o equinoctial_a circle_n then_o be_v that_o rectify_v also_o in_o the_o northern_a hemisphere_n or_o in_o the_o southern_a if_o you_o call_v the_o north_n pole_n the_o south_n pole_n 3._o extend_v the_o thread_n or_o axis_n pass_v through_o the_o centre_n to_o the_o south_n pole_n and_o there_o make_v it_o fast_o and_o then_o the_o sphere_n be_v rectify_v for_o many_o use_v in_o that_o latitude_n use_v i._o the_o day_n of_o the_o month_n be_v give_v to_o find_v the_o sun_n true_a place_n lay_v the_o thread_n in_o the_o centre_n of_o the_o plain_a on_o the_o day_n of_o the_o month_n and_o in_o the_o line_n of_o the_o sun_n place_n you_o have_v his_o place_n example_n on_o the_o 5_o of_o november_n it_o be_v 23_o degree_n in_o â™_o or_o if_o the_o sun_n place_n be_v give_v look_v for_o that_o and_o just_a against_o it_o in_o the_o month_n be_v the_o day_n require_v example_n the_o sun_n place_n be_v 15_o degree_n ♌_o i_o look_v for_o it_o in_o the_o line_n of_o his_o place_n and_o just_a against_o it_o i_o find_v july_n 28_o day_n use_v ii_o to_o find_v his_o declination_n any_o day_n look_v for_o the_o day_n give_v and_o right_a against_o it_o in_o the_o line_n of_o declination_n be_v his_o due_a declination_n require_v example_n august_n the_o 5_o the_o declination_n be_v 14_o degree_n 5_o minute_n from_o the_o next_o equinoctial-point_n viz._n ♎_o note_v in_o the_o northern_a sin_n or_o summertime_n the_o sun_n have_v north_n declination_n or_o in_o southern_a sin_n or_o winter-month_n the_o sun_n have_v south_n declination_n or_o if_o you_o have_v the_o sun_n declination_n find_v that_o in_o the_o line_n declination_n and_o right_a against_o it_o in_o the_o month_n be_v the_o day_n require_v example_n 21_o degree_n south_n declination_n begin_v from_o the_o equinoctial_a towards_o the_o winter_n solstice_n i_o find_v novemb_n 15._o the_o like_a work_n have_v be_v if_o the_o sun_n place_n have_v be_v give_v to_o find_v his_o declination_n use_v iii_o the_o day_n give_v to_o find_v the_o sun_n rightascention_n this_o be_v usual_o reckon_v from_o ♈_o to_o ♈_o round_a in_o 24_o hour_n but_o twice_o 12_o be_v as_o useful_a and_o then_o it_o be_v thus_o find_v the_o day_n among_o the_o month_n and_o day_n and_o just_a against_o it_o in_o the_o time_n of_o hour_n be_v the_o sun_n right_a ascension_n but_o note_n it_o be_v not_o right_o figure_v for_o this_o use_n count_v onward_o from_o ♈_o or_o the_o 10_o of_o march_n to_o the_o 13_o of_o septemb_n and_o from_o thence_o to_o aries_n again_o likewise_o the_o degree_n be_v to_o be_v reckon_v from_o ♈_o onward_o as_o the_o month_n proceed_v example_n on_o the_o 12_o of_o may_n what_o be_v the_o sun_n right_a ascension_n lay_v the_o thread_n on_o the_o 12_o of_o may_n and_o in_o the_o line_n of_o hour_n it_o cut_v 9-57′_a count_v from_o aries_n onward_o or_o in_o degree_n 59-15_a count_v as_o before_o thus_o if_o any_o one_o of_o these_o 4_o general_a thing_n be_v give_v the_o other_o may_v be_v find_v use_v iu._n the_o sun_n declination_n and_o latitude_n be_v give_v to_o find_v the_o sun_n meridian_n altitude_n the_o sphere_n be_v rectify_v count_v the_o declination_n on_o the_o meridian_n from_o the_o equinoctial_a that_o way_n the_o declination_n be_v either_o north_n or_o south_n and_o where_o the_o count_v end_n there_o be_v the_o meridian_n altitude_n require_v for_o that_o day_n or_o declination_n example_n june_n 11._o declination_n 23-30′_a count_v 23-30_a from_o 38-30_a the_o place_n where_o
show_v also_o 60_o degree_n on_o the_o innermost-edge_n of_o the_o loose-piece_n the_o calendar_n of_o month_n and_o day_n and_o degree_n of_o the_o sun_n place_n and_o right_a ascension_n on_o the_o moveable-leg_n for_o the_o speedy_a and_o ready_a find_v the_o sun_n place_n and_o declination_n which_o you_o may_v do_v to_o a_o minute_n at_o all_o time_n by_o help_n of_o the_o rectify_v table_n and_o astronomical_a caution_n of_o time_n and_o longitude_n also_o on_o the_o head-leg_n be_v the_o general_a scale_n of_o sines_n and_o line_n to_o the_o great_a and_o lesser_a radius_fw-la as_o in_o the_o figure_n and_o thus_o much_o will_v serve_v both_o for_o observation_n and_o operation_n as_o in_o the_o follow_a discourse_n will_v full_o appear_v 4._o to_o this_o instrument_n do_v chief_o belong_v the_o sight_n for_o the_o observation_n at_o sea_n where_o the_o horizon_n be_v make_v use_n of_o in_o the_o take_n the_o sun_n or_o star_n altitude_n and_o to_o this_o instrument_n belong_v the_o index_n and_o square_n that_o make_v it_o a_o most_o complete_a sinical-quadrant_n for_o the_o plain_a and_o easy_a resolve_v of_o all_o plain_a triangle_n also_o a_o weighty_a plummet_n and_o thread_n and_o a_o pair_n of_o large_a wood_n or_o brass_n compass_n for_o operation_n thus_o much_o for_o description_n be_v all_o put_v on_o one_o side_n only_o unless_o you_o shall_v be_v please_v to_o add_v the_o artificial_a number_n sin_n and_o tangent_n on_o the_o outer-edge_n and_o a_o meridian-line_n and_o his_o scale_n on_o the_o inner-edge_n and_o natural_a sin_n and_o natural_a versed-sines_n on_o the_o sector-side_n but_o these_o as_o you_o please_v chap._n ii_o the_o use_n of_o the_o trianguler-quadrant_n in_o observation_n that_o the_o discourse_n may_v be_v plain_a and_o brief_a and_o general_a there_o be_v 10_o term_n to_o be_v name_v and_o describe_v before_o i_o come_v to_o the_o use_v and_o example_n which_o be_v as_o follow_v 1._o first_o the_o head-leg_n of_o the_o instrument_n in_o which_o the_o brass-rivit_a be_v fix_v and_o about_o which_o the_o other_o leg_n turn_v as_o ab_fw-la in_o the_o figure_n on_o which_o leg_n the_o general_a scale_n of_o sines_n and_o line_n be_v usual_o set_v 2._o the_o moveable-leg_n on_o which_o the_o month_n and_o day_n be_v as_o in_o the_o figure_n note_v by_o bd_o which_o leg_n turn_v about_o the_o head-leg_n 3._o the_o loose-piece_n that_o be_v join_v to_o the_o head_n and_o moving-leg_n by_o two_o tennon_n at_o each_o end_n thereof_o note_v by_o da_fw-la in_o the_o figure_n 4._o the_o head-center_n or_o center-pin_n on_o the_o round-part_n of_o the_o head-leg_n be_v centre_n to_o the_o 60_o degree_n on_o the_o inside_n of_o the_o loose-piece_n which_o point_n be_v know_v by_o b_o in_o the_o figure_n 5._o the_o leg-center_n be_v near_o the_o end_n of_o the_o head-leg_n which_o be_v the_o centre_n to_o the_o degree_n on_o the_o moving-leg_n and_o outside_n of_o the_o loose-piece_n be_v in_o all_o 180_o degree_n and_o note_v in_o the_o figure_n by_o the_o letter_n c._n 6._o the_o great_a radius_fw-la or_o great_a line_n of_o sines_n issue_v from_o the_o leg-center_n towards_o the_o head_n have_v the_o tangent_n on_o the_o moveable-leg_n to_o the_o same_o radius_fw-la and_o the_o measure_n from_o the_o leg-center_n to_o the_o tangent_fw-la on_o the_o moving-leg_n a_o secant_fw-la to_o the_o same_o radius_fw-la as_o ce_fw-fr in_o the_o figure_n 7._o the_o little_a radius_fw-la that_o issue_n from_o the_o leg-center_n towards_o the_o end_n have_v the_o tangent_n on_o the_o outside_n of_o the_o loose-piece_n to_o the_o same_o radius_fw-la and_o the_o measure_n from_o the_o centre_n to_o those_o tangent_n for_o secant_v to_o the_o same_o radius_fw-la as_o cf._n 8._o the_o turn_a sight_n always_o to_o be_v skrew_v to_o the_o head_n or_o leg-center_n know_v by_o his_o shape_n and_o skrew-hole_n as_o 9_o the_o slide_a horizon-sight_n to_o slide_v on_o the_o moving-leg_n and_o loose-piece_n note_v with_o its_o bigness_n and_o hole_n to_o look_v through_o as_o 10._o the_o shadow_n sight_n and_o 2_o other_o to_o pin_v the_o instrument_n together_o which_o you_o may_v call_v the_o object-sight_n always_o fix_v in_o the_o two_o hole_n at_o the_o end_n of_o the_o moving-leg_n and_o the_o head-leg_n and_o the_o shadow-sight_n be_v to_o set_v to_o and_o fro_o to_o any_o place_n require_v note_v in_o the_o figure_n with_o 〈◊〉_d and_o the_o other_o two_o with_o 〈◊〉_d and_o thus_o you_o have_v their_o name_n and_o description_n at_o large_a which_o in_o brief_a take_v thus_o for_o easy_a remember_v 1._o the_o head-leg_n 2._o the_o moveable-leg_n 3._o the_o loose-piece_n 4._o the_o head-center_n 5._o the_o leg-center_n 6._o the_o great_a radius_fw-la 7._o the_o less_o radius_fw-la 8._o the_o turning-sight_n 9_o the_o horizon_n sliding-sight_n 10._o the_o shadow-sight_n and_o the_o two_o objest-sight_n the_o open-part_n in_o one_o be_v next_o to_o and_o the_o other_o remote_a from_o the_o rule_n to_o answer_v to_o the_o upper_a or_o lower-hole_n in_o the_o turning-sight_n according_a as_o you_o please_v to_o use_v they_o in_o observation_n thus_o much_o for_o the_o term_n the_o use_v follow_v use_v i._o to_o find_v the_o sun_n or_o a_o star_n altitude_n by_o a_o forward_a observation_n as_o by_o a_o fore-staff_n screw_v the_o turning-sight_n to_o the_o head-center_n and_o put_v the_o object-sight_n into_o the_o hole_n at_o the_o end_n of_o the_o head-leg_n and_o put_v the_o slide_a horizon-sight_n on_o the_o inside_n of_o the_o loose-piece_n then_o set_v the_o turning-sight_n to_o your_o eye_n and_o hold_v the_o loose-piece_n in_o your_o right-hand_a and_o the_o moveable-leg_n towards_o your_o body_n then_o with_o your_o thumb_n on_o the_o right-hand_a thrust_v upward_o or_o pull_v downward_o the_o horizon-sight_n till_o you_o see_v the_o sun_n through_o the_o object-sight_n and_o the_o horizon_n through_o the_o horizon-sight_n then_o the_o degree_n cut_v by_o the_o line_n on_o the_o middle_n of_o the_o horizon-sight_n shall_v show_v the_o true_a altitude_n require_v also_o observe_v that_o if_o you_o like_v to_o use_v the_o upper_a or_o lower-edge_n of_o the_o horizon-sight_n instead_o of_o the_o small_a bar_n across_o the_o open-hole_n after_o the_o manner_n of_o the_o end_n of_o a_o fore-staff_n that_o then_o the_o degree_n and_o minute_n cut_v by_o the_o edge_n of_o the_o brass_n be_v the_o altitude_n require_v to_o be_v count_v as_o it_o be_v figure_v from_o the_o object-sight_n towards_o the_o horizon-sight_n the_o degree_n between_o they_o be_v the_o angle_n require_v note_v also_o that_o if_o the_o altitude_n of_o the_o sun_n or_o star_n be_v above_o 30_o degree_n you_o will_v find_v it_o a_o hard_a matter_n to_o behold_v the_o horizon_n and_o sun_n with_o a_o bare_a roll_v the_o ball_n of_o the_o eye_n only_o and_o a_o stir_v of_o the_o head_n will_v easy_o cause_v a_o stir_v of_o the_o hand_n which_o will_v spoil_v the_o exactness_n of_o observation_n unless_o the_o instrument_n shall_v be_v fix_v to_o a_o ball-socket_n and_o three-legged-staff_n which_o be_v not_o usual_a at_o sea_n therefore_o to_o remedy_v this_o you_o may_v observe_v with_o the_o open_a oval-hole_n in_o the_o turning-sight_n set_v to_o the_o eye_n or_o take_v the_o turning-sight_n quite_o away_o observe_v just_a as_o you_o do_v with_o a_o fore-staffe_n set_v the_o round_a part_n of_o the_o head_n to_o the_o hollow-part_n beside_o your_o eye_n so_o as_o the_o head-center-pin_n may_v be_v as_o near_o the_o very_a sight_n of_o your_o eye_n as_o possible_o as_o you_o can_v which_o centre_n be_v the_o centre_n to_o the_o degree_n now_o use_v in_o a_o forward_a way_n of_o observation_n or_o rather_o use_v this_o way_n when_o the_o wether_n will_v suffer_v by_o a_o thread_n and_o plummet_n which_o i_o shall_v add_v as_o a_o second_o use._n use_v ii_o to_o observe_v the_o sun_n or_o a_o star_n altitude_n by_o a_o forward_a observation_n use_v the_o thread_n and_o plummet_n screw_v the_o turning-sight_n to_o the_o head-center_n as_o before_o and_o put_v the_o two_o object-sight_n into_o the_o two_o hole_n at_o the_o two_o end_n of_o the_o rule_n and_o on_o the_o leg-center-pin_n hang_v the_o thread_n with_o a_o weighty_a plummet_n of_o two_o pound_n or_o above_o a_o pound_n at_o least_o then_o hold_v up_o the_o trianguler-quadrant_n set_v the_o small-hole_n on_o the_o turning-sight_n close_o to_o your_o eye_n and_o if_o the_o sun_n or_o star_n be_v under_o 25_o degree_n high_a then_o look_v to_o the_o sun_n or_o star_n through_o the_o turning-sight_n and_o that_o object-sight_n which_o stand_v in_o the_o end_n of_o the_o moveable-leg_n let_v the_o thread_n and_o plummet_n play_v between_o your_o thumb_n and_o forefinger_n as_o a_o brick-layer_n plummet_n in_o his_o plum-rule_n do_v in_o a_o bendid_a hole_n that_o you_o may_v keep_v it_o in_o order_n whilst_o you_o look_v
prick_n after_o note_v a_o quarter_n of_o a_o minute_n and_o two_o prick_n half_o a_o minute_n and_o three_o prick_n three_o quarter_n of_o a_o minute_n more_o now_o by_o the_o rule_n you_o may_v count_v to_o a_o minute_n and_o the_o rectify_v table_n tell_v you_o how_o many_o minute_n more_o you_o must_v add_v to_o or_o subtract_v from_o the_o degree_n and_o minute_n the_o table_n or_o rule_n shall_v show_v it_o be_v in_o the_o second_o year_n a_o table_n of_o the_o sun_n declination_n every_o day_n at_o noon_n for_o london_n in_o the_o year_n 1666_o the_o second_o year_n after_o the_o leap-year_n according_a to_o mr._n street_n table_n of_o longitude_n calculate_v by_o john_n brown_n 1668._o month_n day_n janu._n febr._n march_v april_n may._n june_n d.m._n d.m._n d.m._n d.m._n d.m._n d.m._n 1_o 21_o 45_o ..._o 13_o 50._o 03_o 29._o 08_o 31._o 18_o 02_o 23_o 11._o 2_o 21_o 36_o 13_o 30._o 03_o 05._o 08_o 53._o 18_o 17._o 23_o 14._o 3_o 21_o 25._o 13_o 10._o 02_o 42_o 09_o 15._o 18_o 32_o 23_o 18._o 4_o 21_o 14_o ..._o 12_o 49_o ..._o 02_o 18._o 09_o 36_o ..._o 19_o 46_o ..._o 23_o 21_o 5_o 21_o 03._o 12_o 29_o 01_o 54_o ..._o 09_o 58_o 19_o 01_o 23_o 23_o ..._o 6_o 20_o 51_o 12_o 08._o 01_o 31_o 10_o 19_o 19_o 14_o ..._o 23_o 26_o 7_o 20_o 40_o 11_o 47._o 01_o 07_o 10_o 40_o ..._o 19_o 28._o 23_o 27_o ..._o 8_o 20_o 27._o 11_o 25_o ..._o 00_o 43._o 11_o 01_o 19_o 41._o 23_o 29._o 9_o 20_o 15_o 11_o 04._o s._n 19_o ..._o 11_o 22_o 19_o 54._o 23_o 30._o 10_o 20_o 01_o ..._o 10_o 43_o n._n 04._o 11_o 42_o ..._o 20_o 07_o 23_o 30_o ..._o 11_o 19_o 48._o 10_o 21_o 00_o 27_o ..._o 12_o 03_o 20_o 19_o 23_o 31_o 12_o 19_o 34._o 09_o 59_o 00_o 51._o 12_o 23_o 20_o 31_o 23_o 30._o 13_o 19_o 20._o 09_o 37_o 01_o 15_o 12_o 43._o 20_o 42._o 23_o 30_o 14_o 19_o 06_o 01_o 15_o 01_o 38._o 13_o 03_o 20_o 54_o 23_o 29_o 15_o 18_o 51_o 08_o 52_o 02_o 02._o 13_o 22._o 21_o 04._o 23_o 37._o 16_o 18_o 35_o ..._o 08_o 29_o ..._o 02_o 26_o 13_o 42_o 21_o 15._o 23_o 15._o 17_o 18_o 20._o 08_o 07._o 04_o 49._o 14_o 01_o 21_o 25._o 23_o 23_o 18_o 18_o 04_o 07_o 44_o ..._o 03_o 13_o 14_o 20_o 21_o 35_o 23_o 20._o 19_o 17_o 48_o 07_o 22_o 03_o 36_o 14_o 38._o 21_o 44._o 23_o 17._o 20_o 17_o 31._o 06_o 59_o 03_o 59_o 14_o 57_o 21_o 53._o 23_o 14_o 21_o 17_o 14._o 06_o 36_o 04_o 22._o 15_o 15_o 22_o 01_o ..._o 23_o 10_o 22_o 16_o 57_o 06_o 13_o 04_o 45_o ..._o 15_o 33_o 22_o 10._o 23_o 05._o 23_o 16_o 40_o 05_o 50_o 05_o 0â—_n ..._o 15_o 50_o ..._o 22_o 17_o ..._o 23_o 01_o 24_o 16_o 22._o 05_o 26._o 05_o 32_o 16_o 08_o 22_o 25._o 22_o 55_o ..._o 25_o 16_o 03_o ..._o 05_o 03._o 05_o 34._o 16_o 25._o 22_o 32._o 22_o 50._o 26_o 15_o 45_o 04_o 39_o ..._o 06_o 17._o 16_o 42_o 22_o 39_o 22_o 44._o 27_o 15_o 27_o 04_o 16._o 06_o 40_o 16_o 58._o 22_o 45._o 22_o 37_o ..._o 28_o 15_o 08_o 03_o 52_o ..._o 07_o 02._o 17_o 14_o ..._o 22_o 51._o 22_o 31_o 29_o 14_o 49_o  _fw-fr 07_o 25_o 17_o 30_o ..._o 22_o 57_o 22_o 23_o ..._o 30_o 14_o 29._o  _fw-fr 07_o 47_o 17_o 47_o 23_o 02_o 22_o 16._o 31_o 14_o 10._o  _fw-fr 08_o â—9_n  _fw-fr 23_o 06._o  _fw-fr a_o table_n of_o the_o sun_n declination_n every_o day_n at_o noon_n etc._n etc._n month_n day_n july_n augu._n septem_fw-la octob._n novem_n decem_fw-la d.m._n d.m._n d.m._n d.m._n d.m._n d.m._n 1_o 22_o 09_o 15_o 14._o 04_o 26._o 07_o 12._o 17_o 37_o ..._o 23_o 07._o 2_o 22_o 00._o 14_o 56_o 04_o 03_o ..._o 07_o 35._o 17_o 35_o ..._o 23_o 12_o 3_o 21_o 51._o 14_o 37._o 03_o 40_o ..._o 07_o 58_o ..._o 18_o 10._o 23_o 16_o 4_o 21_o 42._o 14_o 19_o 03_o 17._o 08_o 20._o 18_o 25._o 23_o 19_o 5_o 21_o 33_o 14_o 00_o ..._o 02_o 54._o 08_o 42._o 18_o 41._o 23_o 22._o 6_o 21_o 23._o 13_o 41._o 02_o 31_o 09_o 04_o ..._o 18_o 56._o 23_o 25_o 7_o 21_o 13._o 13_o 22._o 02_o 08._o 09_o 27_o 19_o 10_o ..._o 23_o 27._o 8_o 21_o 02._o 13_o 03_o 01_o 44._o 09_o 49_o 19_o 25._o 23_o 28_o ..._o 9_o 20_o 52_o 12_o 43._o 01_o 20_o ..._o 10_o 11_o 19_o 39_o 23_o 30_o 10_o 20_o 41_o 12_o 23_o 00_o 57_o 10_o 32._o 19_o 53_o 23_o 30_o ..._o 11_o 20_o 29_o 12_o 02_o ..._o n_o 34_o 10_o 53_o ..._o 20_o 06._o 23_o 31_o 12_o 20_o 17._o 11_o 43_o n_o 10._o 11_o 15._o 20_o 19_o 23_o 30._o 13_o 20_o 05_o 11_o 21._o s_o 13._o 11_o 36._o 20_o 31_o ..._o 23_o 30_o 14_o 19_o 52_o ..._o 11_o 02_o 00_o 36_o ..._o 11_o 57_o 20_o 44_o 23_o 29_o 15_o 19_o 39_o 10_o 41._o 01_o 00_o ..._o 12_o 18._o 20_o 55_o ..._o 23_o 27_o 16_o 19_o 26_o ..._o 10_o 20._o 01_o 24_o 12_o 38_o ..._o 21_o 07_o 23_o 25._o 17_o 19_o 13._o 09_o 59_o 01_o 47._o 12_o 59_o 21_o 18._o 23_o 22._o 18_o 18_o 59_o 09_o 38_o 02_o 10_o ..._o 13_o 20_o 21_o 28_o ..._o 23_o 19_o 19_o 18_o 44_o ..._o 09_o 16_o ..._o 02_o 34._o 13_o 39_o ..._o 21_o 38_o ..._o 23_o 16_o 20_o 18_o 30._o 08_o 55._o 02_o 58_o 13_o 59_o 21_o 48._o 23_o 11_o ..._o 21_o 18_o 15_o ..._o 08_o 33._o 03_o 21._o 14_o 19_o 21_o 58_o 23_o 07._o 22_o 18_o 00._o 08_o 11._o 03_o 44._o 14_o 38_o 22_o 07_o 23_o 02._o 23_o 17_o 45._o 07_o 49_o ..._o 04_o 08_o 14_o 57_o 22_o 15._o 22_o 57_o 24_o 17_o 29._o 07_o 27._o 04_o 31._o 15_o 16_o 22_o 23._o 22_o 51._o 25_o 17_o 31._o 07_o 05._o 04_o 54._o 15_o 35_o 22_o 31_o 22_o 44_o ..._o 26_o 16_o 57_o 06_o 43_o 05_o 18._o 15_o 53._o 22_o 38._o 22_o 38_o 27_o 16_o 40._o 06_o 20._o 05_o 41_o 16_o 11._o 22_o 45_o 22_o 30._o 28_o 16_o 24_o 05_o 57_o 06_o 04_o 16_o 29._o 22_o 51._o 22_o 23_o 29_o 16_o 06._o 05_o 35._o 06_o 27_o 16_o 46_o ..._o 22_o 57_o 22_o 15_o 30_o 15_o 49._o 05_o 12._o 06_o 49._o 17_o 03_o ..._o 23_o 02_o ..._o 22_o 06._o 31_o 15_o 32_o  _fw-fr  _fw-fr 17_o 20._o  _fw-fr 21_o 57_o a_o table_n of_o the_o sun_n declination_n for_o every_o 5_o and_o 10_o day_n of_o every_o month_n of_o the_o four_o year_n calculate_v from_o mr._n street_n table_n of_o the_o sun_n place_n make_v for_o the_o year_n 1665_o 1666_o 1667_o and_o 1668_o the_o near_a extant_a m._n d_o 1._o 1665_o 2._o 1666_o 3._o 1667_o l.y._n 68_o january_n 05_o 21_o 01_o 21_o 03._o 21_o 06._o 21_o 09._o 10_o 19_o 58._o 20_o 01_o ..._o 20_o 05_o 20_o 08._o 15_o 18_o 47._o 18_o 51_o 18_o 54._o 18_o 58._o 20_o 17_o 27._o 17_o 31._o 17_o 35_o 17_o 39_o 25_o 15_o 59_o ..._o 16_o 03_o ..._o 16_o 08_o 16_o 12_o ..._o 30_o 14_o 25_o 14_o 29_o ..._o 14_o 34._o 14_o 39_o february_n 05_o 12_o 24_o 12_o 29_o 12_o 34_o 12_o 39_o 10_o 10_o 39_o 10_o 43_o 10_o 48_o 10_o 53._o 15_o 08_o 47_o 08_o 52._o 08_o 57_o ..._o 09_o 03._o 20_o 06_o 53._o 06_o 59_o 07_o 04_o ..._o 07_o 10._o 25_o 04_o 57_o 05_o 03._o 05_o 08_o ..._o 05_o 14._o 28_o 03_o 47._o saint_n 03_o 52_o ..._o 03_o 58._o 04_o 04._o march_n 05_o 01_o 48_o ..._o 01_o 54_o ..._o 02_o 00._o 01_o 42._o saint_n 10_o 00_o 10_o n_o 00_o 04._o n_o 00_o 01_o ..._o s_o 00_o 16._o n_o 15_o 02_o 08_o 02_o 02._o 01_o 56._o n_o 02_o 14._o 20_o 04_o 05_o 03_o 59_o 03_o 54_o 04_o 11._o 25_o 06_o 00._o 05_o 54._o 05_o 49._o 06_o 06._o 30_o 07_o 52_o ..._o 07_o 47_o 07_o 42._o 07_o 58._o april_n 05_o 10_o 03._o 09_o 58_o 09_o 53_o 10_o 09_o 10_o 11_o 47_o ..._o 11_o 42_o ..._o 11_o 37_o ..._o 11_o 35._o 15_o 13_o 27._o 13_o 22._o 13_o 17._o 13_o 32._o 20_o 15_o 01._o 14_o 57_o 15_o 52._o 15_o 06._o 25_o 16_o 29._o 16_o 29._o 16_o 21._o 16_o 34_o 30_o 17_o 50._o 17_o 47_o 17_o 42_o ..._o 17_o 54._o may._n 05_o 19_o 04._o 19_o 01_o 18_o 57_o 19_o 08_o 10_o 20_o 10_o 20_o 07_o 20_o 04_o 20_o 13._o 15_o 21_o 07_o 21_o 04._o 21_o 02_o 21_o 10_o 20_o 21_o 55._o 21_o 53._o 21_o 51_o ..._o 21_o 57_o ..._o 25_o 22_o 34_o 22_o 32._o 22_o 30_o ..._o 22_o 36_o 30_o 23_o 03_o 23_o 02_o 23_o 01_o 23_o 04._o june_n 05_o 23_o 24_o 23_o 23_o ..._o 23_o 23_o 23_o 25._o 10_o 23_o 30_o ..._o 23_o 30_o ..._o 23_o 30._o 23_o 31_o 15_o 23_o 27_o 23_o 27._o 23_o 28_o 23_o 26_o ..._o 20_o 23_o 13_o 23_o 14_o 23_o 15_o ..._o 23_o 12_o 25_o 22_o 48_o ..._o 22_o 50._o 22_o 51_o ..._o 22_o
5_o n_o 30_o dolphin_n head_n 3_o 307_o 53_o 20_o 32_o 15_o 0_o n._n 31_o pegassus_n mouth_n 1_o 321_o 50_o 21_o 27_o 8_o 19_o n_o 32_o pomahant_n 3_o 339_o 30_o 22_o 38_o 31_o 17_o s._n 33_o pegassus_n lower_v wing_n 2_o 358_o 50_o 23_o 55_o 13_o 22_o n._n as_o for_o example_n to_o find_v the_o sun_n declination_n for_o the_o year_n 1670_o on_o the_o 12_o day_n of_o may_n first_o if_o you_o divide_v 70_o be_v the_o ten_o only_o of_o the_o year_n of_o our_o lord_n by_o 4_o reject_v the_o 100_o s_o you_o shall_v find_v 2_o as_o a_o remainder_n which_o note_v it_o to_o be_v the_o second_o after_o leap-year_n and_o if_o 0_o remain_n than_o it_o be_v leap-year_n then_o look_v in_o the_o table_n of_o declination_n for_o 1666_o the_o second_o after_o leap-year_n as_o the_o year_n 1670_o be_v and_o find_v the_o month_n in_o the_o head_n of_o the_o table_n and_o the_o day_n on_o one_o side_n and_o in_o the_o meeting-point_n you_o shall_v find_v 20_o deg_n 31_o min._n for_o the_o declination_n on_o that_o day_n at_o noon_n require_v or_o if_o you_o use_v the_o triangule_a quadrant_n extend_v the_o thread_n from_o the_o centre_n over_o the_o 12_o of_o may_n and_o you_o shall_v find_v it_o to_o cut_v in_o the_o degree_n just_a 20_o deg_n 31_o min._n the_o true_a declination_n for_o that_o year_n and_o day_n note_v that_o if_o you_o have_v occasion_n to_o use_v the_o declination_n before_o noon_n then_o observe_v that_o the_o difference_n between_o stroke_n and_o stroke_n be_v the_o difference_n of_o declination_n for_o one_o day_n and_o by_o consequence_n one_o half_a of_o that_o space_n for_o half_a a_o day_n and_o a_o quarter_n for_o a_o quarter_n of_o a_o day_n etc._n etc._n as_o thus_o for_o example_n suppose_v i_o will_v have_v the_o sun_n declination_n the_o 18_o of_o august_n 1666_o at_o 6_o in_o the_o morning_n here_o you_o must_v note_v that_o the_o 18_o stroke_n from_o the_o begin_n of_o august_n represent_v the_o 18_o day_n at_o noon_n just_a now_o the_o time_n require_v be_v 6_o hour_n before_o noon_n lay_v the_o thread_n one_o four_o part_n of_o the_o distance_n for_o one_o day_n towards_o the_o 17_o day_n and_o then_o in_o the_o degree_n the_o thread_n shall_v cut_v on_o 9-43′_a whereas_o at_o noon_n just_a it_o will_v be_v but_o 9-38_a and_o the_o next_o or_o 19_o day_n at_o noon_n it_o be_v 9_o degree_n 16_o min._n and_o 3_o quarter_n of_o a_o min._n as_o the_o three_o prick_n thus_o ..._o in_o the_o table_n do_v plain_o show_v but_o by_o the_o rule_n a_o minute_n be_v as_o much_o as_o can_v be_v see_v and_o so_o near_o with_o care_n may_v you_o come_v note_v also_o far_o that_o if_o you_o shall_v use_v it_o in_o place_n that_o be_v 4_o hour_n 6_o or_o 8_o 10_o or_o 12_o hour_n more_o eastward_o or_o westward_o in_o longitude_n the_o same_o rule_n will_v tell_v you_o the_o minute_n to_o be_v add_v in_o western-longitude_n or_o to_o be_v substract_v in_o eastern-longitude_n as_o reason_n and_o experience_n will_v dictate_v unto_o you_o with_o due_a consideration_n for_o if_o be_v eastward_n the_o sun_n come_v to_o the_o meridian_n of_o that_o place_n before_o it_o come_v to_o the_o meridian_n of_o london_n then_o lay_v the_o thread_n as_o in_o morning_n hour_n but_o if_o the_o place_n be_v to_o the_o westward_n where_o it_o come_v late_a then_o lay_v the_o thread_n so_o many_o hour_n beyond_o the_o noon-stroke_n for_o london_n as_o the_o place_n have_v hour_n of_o western-longitude_n more_o than_o london_n count_v 15_o degree_n for_o a_o hour_n and_o 4_o minute_n for_o every_o degree_n and_o then_o shall_v you_o have_v the_o declination_n to_o one_o minute_n of_o the_o very_a truth_n but_o if_o it_o happen_v to_o be_v the_o leap-year_n or_o the_o first_o or_o three_o year_n after_o the_o leap-year_n than_o thus_o suppose_v for_o the_o 5_o of_o october_n 1671_o be_v the_o three_o after_o leap-year_n i_o will_v have_v the_o declination_n first_o if_o you_o lay_v the_o thread_n over_o the_o 5_o of_o october_n in_o the_o degree_n it_o give_v 08_o deg_n 42_o minute_n for_o the_o declination_n in_o the_o second_o year_n after_o leap-year_n then_o because_o this_o be_v the_o three_o year_n look_v in_o the_o rectifying-table_n for_o the_o 5_o of_o october_n and_o there_o you_o find_v s._n 4_o for_o subtract_v 4_o minute_n and_o a_o half_a from_o 8-42_a rest_v 8-38_a the_o true_a declination_n require_v for_o the_o 5_o of_o october_n 1671._o the_o like_a work_n serve_v for_o any_o other_o day_n or_o year_n but_o for_o every_o 5_o and_o 10_o day_n you_o have_v the_o declination_n set_v down_o in_o a_o table_n for_o all_o 4_o year_n to_o prove_v and_o try_v the_o truth_n of_o your_o operation_n and_o by_o that_o and_o the_o line_n of_o number_n or_o the_o rule_n of_o three_o you_o may_v continue_v it_o to_o every_o day_n by_o this_o proportion_n as_o 5_o day_n or_o 120_o hour_n to_o the_o difference_n of_o declination_n in_o the_o table_n between_o one_o 5_o day_n and_o another_o so_o be_v any_o part_n of_o 5_o day_n or_o 120_o hour_n to_o the_o difference_n in_o declination_n to_o be_v add_v or_o substract_v to_o the_o 5_o day_n declination_n immediate_o foregoing_a the_o day_n require_v example_n suppose_v for_o the_o 18_o of_o february_n 1669_o the_o first_o after_o leap-year_n i_o will_v know_v the_o declination_n by_o the_o table_n make_v to_o every_o 5_o day_n only_o on_o the_o 20_o of_o february_n i_o find_v 6-53_a ½_o on_o the_o 15_o day_n 8-47_a the_o difference_n between_o they_o be_v 1-53_a ½_o then_o the_o extent_n of_o the_o compass_n from_o 5_o the_o number_n of_o day_n to_o 1-53_a the_o minute_n difference_n count_v proper_o every_o 10_o for_o 6_o minute_n shall_v reach_v from_o 3_o the_o day_n from_o 15_o towards_o 18_o to_o 1_o degree_n 7_o minute_n and_o a_o half_a which_o take_v from_o 8-47′_a the_o declination_n for_o the_o 15_o day_n leave_v 7_o degree_n 38_o minute_n and_o a_o half_a the_o true_a declination_n for_o the_o 18_o day_n of_o february_n in_o the_o first_o after_o leap-year_n or_o by_o the_o line_n of_o number_n thus_o the_o extent_n from_o 5_o the_o difference_n in_o day_n to_o 113_o ½_o the_o difference_n in_o min._n for_o 5_o day_n shall_v reach_v from_o 3_o the_o difference_n in_o day_n to_o 68_o the_o difference_n in_o minute_n for_o 3_o day_n to_o be_v add_v or_o substract_v according_a to_o the_o increase_n or_o decrease_v of_o the_o declination_n at_o that_o time_n of_o the_o year_n prove_v thus_o if_o you_o subtract_v 5′_n ½_o from_o 7_o deg_n 44_o ..._o the_o declination_n in_o the_o second_o year_n there_o remain_v 7_o deg_n 38′_n ½_o the_o declination_n for_o the_o 18_o of_o february_n 1669._o these_o table_n may_v serve_v very_o well_o for_o 30_o year_n and_o not_o differ_v 6_o minute_n in_o declination_n about_o the_o equinoctial_a where_o the_o difference_n be_v most_o and_o in_o june_n and_o december_n not_o at_o all_o to_o be_v perceive_v thus_o you_o may_v by_o the_o rule_n and_o rectify_v table_n find_v the_o sun_n declination_n to_o a_o minute_n at_o any_o time_n without_o the_o trouble_n of_o calculation_n chap._n iu._n the_o use_n of_o the_o trianguler-quadrant_n in_o the_o operative_a part_n of_o navigation_n use_v i._o to_o find_v how_o many_o league_n or_o miles_n answer_v to_o one_o degree_n of_o longitude_n in_o any_o latitude_n between_o the_o equinoctial_a and_o pole_n first_o it_o be_v convenient_a to_o be_v resolve_v how_o many_o league_n or_o mile_n be_v in_o one_o degree_n in_o the_o meridian_n or_o equinoctial_a which_o mr._n norwood_n and_o mr._n collins_n have_v state_v about_o 24_o league_n or_o 72_o mile_n or._n if_o you_o keep_v the_o old_a number_n make_v the_o mile_n great_a viz._n 60_o mile_n or_o 20_o league_n then_o the_o proportion_n by_o the_o number_n sin_n and_o tangent_n run_v thus_o as_o sine_fw-la 90_o to_o 20_o on_o the_o number_n for_o league_n so_o be_v cousin_a of_o the_o latitude_n to_o the_o league_n on_o the_o number_n contain_v in_o one_o degree_n of_o longitude_n in_o that_o latitude_n but_o in_o miles_n to_o have_v the_o answer_n work_v thus_o as_o sine_fw-la 90_o to_o 60_o on_o number_n so_o cousin_a latitude_n to_o the_o number_n of_o mile_n example_n latitude_n 51°_n 32′_n as_o sine_fw-la 90_o to_o 60_o so_o sine_fw-la 38-28_a to_o 37_o mile_n 30_o 100_o but_o by_o the_o trianguler-quadrant_n or_o sector_n work_v thus_o take_v the_o latteral_a 20_o for_o league_n or_o 60_o for_o mile_n from_o the_o line_n of_o line_n from_o the_o centre_n downward_o and_o make_v it_o a_o parallel_n in_o the_o sine_fw-la of_o 90_o lay_v the_o thread_n to_o the_o near_a distance_n then_o the_o near_a distance_n
sight_n 233_o for_o a_o fore-observation_n with_o thread_n and_o plummet_n 235_o for_o a_o back-observation_n as_o a_o davis_n quadrant_n 237_o to_o find_v the_o sun_n distance_n from_o the_o zenith_n or_o the_o co-altitude_n 238_o to_o find_v the_o altitude_n when_o near_o the_o zenith_n 239_o to_o find_v a_o latitude_n by_o a_o forward_a observation_n as_o with_o a_o gunter_n bow_n 241_o to_o find_v the_o latitude_n by_o a_o back_n observation_n 247_o to_o find_v the_o latitude_n by_o a_o meridian_n observation_n with_o thread_n and_o plummet_n 252_o to_o find_v the_o sun_n declination_n 254_o a_o table_n of_o the_o sun_n declination_n for_o the_o second_o after_o leap-year_n 256_o 257_o a_o table_n of_o the_o sun_n declination_n for_o every_o 5_o day_n the_o intermediate_v year_n 258_o 259_o a_o rectify_v table_n for_o the_o intermediate_v year_n 260_o a_o table_n of_o the_o magnitude_n declination_n and_o right_a ascension_n of_o 33_o fix_a star_n in_o degree_n and_o hour_n and_o minute_n 261_o the_o use_n of_o the_o trianguler-quadrant_n in_o the_o operative_a part_n of_o navigation_n 267_o of_o sail_v by_o the_o arch_n of_o a_o great_a circle_n 300_o finis_fw-la errata_fw-la for_o the_o second_o part._n page_n 6._o line_n 10._o for_o too_o read_z to_z p._n 18._o l._n 10._o f._n h_n r._n the_o end_n of_o the_o arch_a qp_n p._n 22._o l._n 14._o f._n begin_v r._n be_v p._n 15._o l._n 27._o f._n latitude_n r._n co-latitude_n p._n 34._o l._n 8._o f._n sun_n r._n sum_n p._n 39_o l._n 24._o f._n incliner_n r._n inclination_n of_o meridian_n p._n 61._o l._n 23._o f._n place_n r._n plain_a p._n 62._o l._n 20._o f._n ☉_o r._n q._n p._n 66._o l._n 2._o f._n ay_o r._n t._n p._n 69._o l._n 7._o f._n 12._o r._n 7._o p._n 92_o l._n 22._o r._n give_v a_o mark_n near_o e_o who_o measure_n on_o the_o limb_n from_o b._n p._n 87._o l._n 8._o f._n giâ—es_o r._n give_v l._n 11._o add_v at_o r_o near_o c._n p._n 93._o l._n 25._o f._n fe_o r._n pe._n p._n 100_o l._n 21._o add_v cd_o next_o give_n p._n 100l_n l._n 6._o f._n 8-5_a r._n 8-3_a p._n 105._o l._n 19_o f._n use_n r._n have_v p._n 108._o l._n 6._o f._n pole_n r._n zenith_n p._n 112._o l._n 3._o f._n cut_v 12_o r._n cut_v the_o substile_a p_o 113._o l._n 19_o f._n df_n r._n de._n l_o 19_o f._n t._n r._n et_fw-la also_o in_o l._n â—8_o r._n et_fw-la p._n 122._o l._n 6._o f._n e_o r._n f._n p._n 122._o l._n 13_o 14_o 15_o 16_o add_v sine_fw-la p._n 128._o l._n 26._o f._n ay_o r._n l._n p._n 139._o l._n 21._o add_v as_o in_o this_o example_n p._n 140._o l._n 6._o add_v to_o p_o 170._o l._n 10._o f._n divide_v r._n divide_v p._n 181._o l._n 20._o f._n popsition_n r._n proportion_n p._n 119._o l._n 27._o f._n from_o r._n on_o p._n 193._o l._n 6._o f._n be_v r._n bring_v p._n 197_o l._n 4._o f._n elevation_n r._n inclination_n p._n 200_o l._n 24._o f._n c_o r._n g._n p._n 204._o l._n 3._o f._n f_o r._n e._n p_o 209._o add_v in_o the_o last_o line_n or_o by_o the_o upper_a part_n of_o the_o plain_a p._n 124._o l._n 18._o add_v or_o remove_v the_o thread_n to_o turn_v it_o further_o when_o it_o recline_v beyond_o the_o pole_n p._n 238._o l._n 7._o add_v of_o l._n 20_o add_v but._n p._n 247._o l._n 13._o r._n and_o much_o better_a in_o small_a latitude_n p._n 248._o l._n 5._o f._n woe_n r._n two_o p._n 251._o l._n 14._o f._n 20_o r._n 33._o also_o l._n 17._o f._n 40_o r._n 27._o advertisement_n the_o use_n of_o these_o or_o any_o other_o instrument_n concern_v the_o mathematical_a practice_n or_o further_a instruction_n in_o any_o part_n thereof_o be_v teach_v by_o john_n colson_n near_o the_o hermitage-stair_n also_o by_o euclid_n speidwel_n dwell_v near_o to_o white-chappel_n church_n in_o capt._n cane_n rent_n or_o at_o the_o custom-house_n also_o by_o william_n northhall_v mariner_n dwell_v at_o the_o crooked-billet_a in_o meetinghouse_n alley_n on_o green-bank_n near_o wapping_n also_o the_o instrument_n may_v be_v have_v at_o the_o house_n of_o john_n brown_n john_n seller_n or_o john_n wingfield_n as_o in_o the_o title-page_n be_v express_v there_o be_v now_o extant_a a_o large_a treatise_n of_o navigation_n in_o folio_n describe_v the_o seacoast_n cape_n head-land_n the_o bay_n roads_n rivers_n harbour_n and_o sea-mark_n in_o the_o whole_a northern-navigation_n show_v the_o course_n and_o distance_n from_o one_o place_n to_o another_o the_o ebb_a and_o flow_v of_o the_o sea_n with_o many_o other_o thing_n belong_v to_o the_o practic_a part_n of_o navigation_n a_o book_n not_o heretofore_o print_v in_o england_n collect_v from_o the_o practice_n and_o experience_n of_o divers_a able_a and_o experience_a navigator_n of_o our_o english_a nation_n publish_a by_o john_n seller_n hydrographer_n to_o the_o king_n most_o excellent_a majesty_n and_o to_o be_v sell_v by_o he_o at_o the_o sign_n of_o the_o mariner_n compass_n at_o the_o hermitage-stair_n in_o wapping_n and_o by_o john_n wingfield_n right_a against_o st._n olave_n church_n in_o crouched-fryer_n practical_a navigation_n or_o a_o introduction_n to_o that_o whole_a art_n sell_v by_o john_n seller_n and_o john_n wingfield_n aforesaid_a see_v the_o general-scheam_a
the_o length_n of_o the_o day_n in_o the_o dial_n you_o shall_v find_v these_o hour_n to_o cross_v the_o even_a hour-line_n and_o quarter_n in_o the_o parallel_n for_o 15_o and_o 9_o hour_n as_o well_o as_o in_o the_o equinoctial_a iv._o to_o draw_v the_o italian_a or_o babylonish-hour_n first_o draw_v the_o common_a hour_n and_o the_o parallel_n of_o the_o sign_n or_o rather_o the_o length_n of_o the_o day_n then_o note_n that_o these_o hour-line_n meet_v with_o the_o common_a hour_n in_o the_o equinoctial_a only_o the_o italian_n who_o account_n from_o sunsetting_a call_v our_o 12_o in_o the_o equinoctial_a 18_o and_o the_o babylonian_n who_o reckon_v from_o the_o sunrising_n call_v our_o 12_o in_o the_o equinoctial_a 6_o hour_n then_o to_o mark_v these_o in_o the_o tropic_n do_v thus_o but_o if_o you_o draw_v the_o parallel_n of_o the_o length_n of_o the_o day_n than_o you_o shall_v find_v the_o 18_o hour_n after_o sun_n set_v to_o cut_v the_o hour-line_n of_o 10_o in_o the_o parallel_n of_o the_o day_n be_v 8_o hour_n long_o and_o 12_o in_o the_o parallel_n of_o 12_o hour_n long_o and_o the_o common_a hour-line_n of_o 2_o in_o the_o parallel_n of_o 16_o hour_n long_o and_o so_o successive_o for_o the_o rest_n for_o so_o many_o hour_n from_o the_o last_o sunsetting_a for_o from_o 6_o the_o last_o night_n in_o the_o equinoctial_a to_o 12_o this_o noon_n be_v 18_o hour_n but_o in_o ♑_o from_o 47′_n after_o 3_o at_o sunset_n to_o the_o next_o noon_n be_v 20_o hour_n and_o 13′_n as_o in_o the_o figure_n forego_v but_o for_o the_o babylonish-hour_n who_o reckon_v by_o equal_a hour_n from_o the_o sun_n rising_n as_o before_o count_v 2_o hour_n and_o 13_o minute_n after_o 6_o in_o ♑_o and_o 2_o hour_n and_o 13′_n before_o 6_o in_o ♋_o and_o just_o 6_o in_o ♈_o and_o that_o shall_v draw_v the_o line_n of_o the_o sun_n rise_v then_o count_v 3_o hour_n and_o 13′_n after_o 6_o in_o ♑_o and_o 7_o in_o ♈_o and_o 1_o hour_n 13′_n before_o 6_o in_o ♋_o and_o that_o shall_v be_v the_o first_o hour_n after_o sun_n rise_v and_o so_o successive_o till_o night_n but_o if_o you_o use_v the_o parallel_n of_o the_o length_n of_o the_o day_n the_o work_n be_v easy_a for_o then_o 5_o 7_o and_o 09_o in_o the_o parallel_n of_o 16_o 12_o and_o 8_o hour_n shall_v be_v point_n for_o the_o first_o from_o sunrising_n and_o 6_o 8_o and_o 10_o shall_v show_v the_o second_o hour_n from_o sunrising_n and_o so_o forward_o as_o in_o the_o table_n follow_v v._o to_o draw_v the_o azimuth-line_n for_o all_o erect-dials_n both_o direct_a or_o decliner_n deal_v with_o the_o declination_n of_o the_o plain_a as_o you_o do_v with_o the_o inclination_n of_o meridian_n and_o at_o the_o meridian_n or_o 12_o set_v the_o plain_n declination_n and_o then_o for_o rumb_n take_v 11_o deg_n 15′_n as_o often_o as_o you_o can_v and_o what_o the_o last_o number_n want_v of_o 11-15_a set_v on_o the_o other_o side_n of_o the_o substile_a and_o to_o that_o add_v 11-15_a till_o you_o have_v enough_o as_o in_o the_o table_n annex_v for_o a_o dial_n who_o declination_n be_v 35_o degree_n westward_n then_o make_v the_o perpendicule_a height_n of_o the_o style_n radius_fw-la or_o tangent_fw-la of_o 45_o and_o on_o the_o horizontal-line_n lie_v off_o the_o =_o tangent_n of_o the_o rumb_n last_o make_v in_o the_o table_n from_o the_o foot_n of_o the_o style_n their_o right_a way_n and_o draw_v line_n through_o those_o point_n all_o parallel_n to_o 12_o for_o the_o rumb_n or_o virtical_a circle_n require_v on_o the_o meridian_n write_v south_n and_o the_o rest_n in_o their_o due_a order_n to_o draw_v the_o azimuth_n or_o virtical-circle_n on_o recline_v or_o inclining-plain_n point_n d._n m_o s._n e._n 80_o 00_o s._n e._n by_o s._n 68_o 45_o s._n s._n e._n 57_o 30_o s._n by_o e._n 46_o 15_o south_n 35_o 00_o s._n by_o w._n 23_o 45_o s._n s._n w._n 12_o 30_o s._n w._n by_o s._n 1_o 15_o substile_fw-fr  _fw-fr s._n w._n 10_o 00_o s.w._n b._n w._n 21_o 15_o w._n s._n w._n 32_o 30_o w._n by_o s._n 43_o 45_o west_n 55_o 00_o w._n by_o n._n 66_o 15_o w._n n._n w._n 77_o 30_o n._n w._n b._n w._n 88_o 45_o n._n w._n  _fw-fr in_o all_o recline_a or_o incline_v plain_n these_o azimuth_n virtical_a circle_n or_o rumb_n do_v meet_v in_o a_o point_n call_v the_o vertical_a point_n find_v in_o the_o meridian_n or_o 12_o a_o clock_n line_n right_o over_o in_o incliner_n or_o under_o in_o recliner_n the_o apex_n or_o top_n of_o the_o style_n that_o be_v to_o give_v the_o shadow_n when_o set_v in_o its_o right_a place_n right_a over_o the_o substile-line_n and_o as_o far_o off_o the_o foot_n of_o the_o style_n be_v a_o point_n in_o the_o substile_a square_n or_o perpendicule_a to_o the_o apex_n or_o top_n of_o the_o style_n in_o a_o vertical_a line_n draw_v through_o the_o foot_n of_o the_o style_n =_o to_o the_o perpendicule_a line_n of_o the_o plain_a as_o the_o co-tangent_a of_o the_o reclination_n make_v the_o perpendicule_a height_n of_o the_o style_n to_o be_v radius_fw-la or_o tangent_fw-la of_o 45_o degree_n also_o the_o co-tangent_a of_o the_o reclination_n of_o the_o plain_a to_o the_o same_o radius_fw-la lay_v from_o the_o foot_n of_o the_o style_n in_o the_o same_o virtical-line_n shall_v give_v the_o point_n in_o the_o vertical-line_n to_o draw_v the_o horizontal-line_n by_o for_o a_o rule_n lay_v to_o this_o point_n and_o the_o cross_v the_o equinoctial-line_n and_o hour_n of_o 6_o shall_v draw_v the_o true_a horizontal-line_n then_o make_v the_o distance_n between_o this_o point_n and_o the_o meeting_n of_o the_o equinoctial_a and_o 6_o a_o =_o tangent_fw-la of_o the_o west_n or_o east_n azimuth_n in_o the_o table_n and_o then_o the_o sector_n be_v set_v to_o lay_v off_o all_o the_o rest_n by_o take_v the_o =_o tangent_n of_o the_o number_n in_o the_o table_n and_o lay_v they_o from_o the_o vertical-point_n in_o the_o horizontal-line_n both_o way_n on_o the_o horizontal-line_n for_o from_o hence_o you_o may_v note_v that_o the_o sun_n be_v in_o the_o equinoctial_a do_v rise_v and_o set_v near_o 6_o and_o also_o do_v rise_v near_o the_o east-point_n and_o set_v near_o the_o west_n therefore_o the_o same_o point_n in_o the_o dial_n must_v be_v for_o the_o hour_n 6_o in_o the_o morning_n and_o the_o east_n aximuth_n or_o the_o hour_n 6_o at_o night_n and_o the_o west_n azimuth_n according_a as_o the_o plain_n decline_v eastward_n or_o westward_n then_o right_a line_n draw_v from_o the_o vertical-point_n in_o the_o meridian_n and_o to_o all_o these_o point_n in_o the_o horizontal-line_n shall_v be_v the_o azimuth-line_n require_v a_o thus_o for_o example_n in_o the_o figure_n annex_v be_v the_o three_o sort_n of_o south-recliners_a before-going_a decline_a 35_o degree_n south-west_n and_o recline_v 60_o degree_n ch_n be_v the_o substile_a cg_n the_o style_n h_n the_o foot_n of_o the_o style_n ik_fw-mi the_o vertical-line_n draw_v through_o the_o foot_n of_o the_o style_n he_o the_o vertical-point_n in_o the_o cross_n of_o 12_o and_o the_o vertical-line_n and_o yet_o right_a under_o g_o the_o apex_n consider_v the_o reclination_n and_o the_o raise_n of_o g_o the_o apex_n square_a or_o perpendicule_a to_o h_n the_o foot_n of_o the_o style_n then_o i_o say_v a_o plumb-line_n let_v fall_v from_o g_o will_v rest_v in_o ay_o the_o vertical-point_n the_o dial_n be_v set_v in_o its_o due_a place_n then_o gh_o the_o perpendicule_a height_n make_v a_o =_o tangent_fw-la of_o 45_o he_o be_v the_o co-tangent_a of_o the_o reclination_n viz._n 30_o and_o hk_v the_o tangent_fw-la oâ—_n the_o reclination_n 60_o be_v the_o vertical-point_n in_o the_o horizontal-line_n from_o whence_o to_o lay_v the_o =_o tangent_n of_o the_o rumb_n in_o the_o table_n last_o make_v into_o the_o horizontal-line_n then_o line_n draw_v from_o the_o vertical-point_n i_o to_o those_o point_n in_o the_o horizontal-line_n shall_v be_v the_o rumb_n or_o point_n of_o the_o compass_n vertical_a circle_n or_o azimuth_n require_v otherwise_o when_o you_o have_v make_v the_o table_n of_o the_o angle_n at_o the_o zenith_n as_o before_o you_o may_v by_o this_o canon_n make_v table_n of_o angle_n at_o the_o vertical-point_n between_o the_o vertical-line_n and_o the_o rumb_n to_o be_v draw_v on_o the_o plain_a as_o the_o sine_fw-la of_o 90_o to_o the_o cousin_a of_o reclination_n or_o inclination_n so_o the_o tangent_fw-la of_o the_o angle_n at_o zenith_n to_o the_o tangent_fw-la at_o the_o vertical_a this_o table_n be_v make_v you_o may_v set_v one_o point_n in_o the_o vertical-point_n and_o describe_v a_o circle_n to_o any_o radius_fw-la and_o therein_o prick_v off_o from_o the_o vertical-line_n the_o several_a chord_n of_o the_o rumb_n as_o in_o the_o