the_o month_n and_o take_v 30_o degree_n from_o the_o scale_n of_o altitude_n and_o put_v one_o point_n in_o the_o line_n of_o hour_n till_o the_o other_o point_n turn_v about_o will_v but_o just_a touch_n the_o thread_n and_o i_o find_v it_o to_o 23_o minute_n past_o 7_o but_o if_o it_o have_v be_v in_o the_o afternoon_n it_o will_v have_v be_v 37_o minute_n past_o 4._o 2._o again_o on_o the_o ten_o of_o august_n in_o the_o afternoon_n at_o 20_o degree_n high_a i_o take_v 20_o degree_n from_o the_o scale_n of_o altude_n and_o lay_v the_o thread_n on_o the_o day_n of_o the_o month_n viz._n the_o ten_o aforesaid_a count_v from_o the_o name_n at_o the_o begin_n of_o august_n towards_o september_n and_o carry_v the_o compass_n in_o the_o line_n of_o hour_n till_o the_o other_o point_n do_v but_o just_a touch_n the_o thread_n and_o you_o shall_v find_v it_o to_o be_v 54_o minute_n past_o 4_o a_o clock_n 3._o again_o on_o the_o 11._o of_o december_n at_o 15_o degree_n high_a work_v as_o before_o and_o you_o shall_v find_v it_o to_o be_v just_a 12_o a_o clock_n but_o to_o work_v this_o you_o must_v lay_v the_o rule_n down_o on_o something_o and_o extend_v the_o thread_n beyond_o the_o rule_n for_o the_o nigh_a distance_n will_v happen_v on_o the_o outside_n of_o the_o rule_n 4._o again_o on_o the_o 11_o of_o june_n at_o noon_n i_o find_v the_o altitude_n to_o be_v 62_o degree_n high_a then_o lay_v the_o thread_n on_o the_o 10_o the_o or_o 11_o the_o of_o june_n for_o then_o a_o day_n be_v unsensible_a and_o work_v as_o before_o you_o shall_v find_v the_o point_n of_o the_o compass_n to_o stay_v at_o just_a 12_o a_o clock_n the_o time_n require_v for_o that_o altitude_n 4._o to_o find_v the_o sun_n rise_v any_o day_n in_o the_o year_n lay_v the_o thread_n on_o the_o day_n of_o the_o month_n and_o in_o the_o line_n of_o hour_n it_o show_v the_o true_a hour_n and_o minute_n of_o the_o sun_n rise_v or_o set_v for_o the_o rise_n count_v the_o morning_n hour_n and_o for_o the_o set_n count_v the_o evening_n hour_n 5._o to_o find_v if_o any_o place_n lie_v level_a or_o nor_o open_v the_o rule_n to_o his_o true_a angle_n of_o 60_o degree_n than_o set_v the_o movable_a leg_n upon_o the_o place_n you_o will_v make_v level_a and_o if_o the_o thread_n play_v just_a on_o 60_o degree_n it_o be_v a_o true_a level_a place_n or_o else_o not_o 6._o to_o try_v if_o any_o thing_n be_v upright_o or_o not_o hang_v a_o thread_n and_o plummet_n on_o the_o centre_n than_o ap_o the_o head_n leg_n of_o the_o rule_n to_o the_o wall_n or_o post_n and_o if_o it_o be_v upright_o the_o thread_n will_v play_v just_a on_o the_o innermost_a line_n of_o the_o scale_n of_o altitude_n or_o else_o not_o chap._n iii_o a_o further_a description_n of_o the_o rule_n to_o make_v it_o to_o show_v the_o sun_n azimuth_n declination_n true_a place_n right_a ascention_n and_o the_o hour_n of_o day_n or_o night_n in_o this_o or_o any_o other_o lattitude_n 1._o first_o in_o stead_n of_o the_o scale_n of_o altitude_n to_o 62_o degree_n there_o be_v one_o put_v to_o 90_o degree_n in_o that_o place_n and_o that_o of_o 62_o be_v put_v by_o in_o some_o other_o place_n where_o it_o may_v serve_v as_o well_o 2._o the_o line_n of_o hour_n have_v a_o double_a margin_n viz_o one_o for_o hour_n and_o the_o other_o for_o azimuth_n &_o then_o every_o 5_o the_o minute_n be_v more_o proper_o make_v 4_o or_o else_o every_o 2_o minute_n and_o in_o a_o large_a rule_n to_o every_o quarter_n of_o a_o degree_n of_o azimuth_n or_o to_o every_o single_a minute_n of_o time_n 3._o the_o degree_n ought_v to_o be_v reckon_v after_o 3_o manner_n of_o way_n first_o as_o before_o be_v express_v second_o from_o 60_o towards_o the_o end_n with_o 10_o 20_o 30_o 40_o 50_o 60_o etc._n etc._n to_o be_v so_o account_v in_o find_v the_o azimuch_o for_o a_o particular_a latitude_n and_o and_o three_o from_o the_o head_n or_o 90_o towards_o the_o end_n with_o 10_o 20_o 30_o 40_o 50_o 60_o 70_o 80_o etc._n etc._n for_o the_o general_a find_v of_o hour_n and_o azimuth_n in_o any_o latitude_n and_o many_o other_o problem_n of_o the_o sphere_n beside_o to_o which_o may_v be_v add_v where_o room_n will_v allow_v a_o line_n of_o hour_n begin_v at_o 6_o at_o the_o head_n and_o 12_o at_o the_o end_n but_o reckon_v 15_o degree_n for_o a_o hour_n and_o 4_o minute_n for_o every_o degree_n it_o may_v do_v as_o well_o without_o it_o 4._o to_o the_o calendar_n of_o month_n and_o day_n be_v add_v a_o line_n of_o the_o sun_n true_a place_n in_o the_o zodiac_n or_o where_o room_n fail_v the_o character_n of_o the_o twelve_o sign_n put_v on_o that_o day_n of_o the_o month_n the_o sun_n enter_v into_o it_o and_o count_v every_o day_n for_o a_o degree_n may_v indifferent_o serve_v for_o the_o use_v it_o be_v chief_o intend_v for_o 5._o under_o that_o be_v a_o line_n of_o the_o sun_n right_a ascension_n to_o hour_n and_o quarter_n at_o least_o or_o rather_o every_o five_o minute_n number_v thus_o 12_o and_o 24_o right_n under_o ♈_o and_o ♎_o or_o the_o ten_o of_o march_n and_o so_o forward_o to_o the_o ten_o of_o june_n or_o ♋_o where_o stand_v 6_o then_o backward_o to_o 12_o where_o you_o begin_v then_o backward_o still_o to_o the_o eleven_o of_o december_n with_o 13_o 14_o 15_o 16_o 17_o 18_o to_o ♑_o then_z from_o thence_o forward_o to_o 24_o where_o you_o first_o begin_v but_o when_o you_o be_v straighten_v for_o room_n as_o on_o most_o ordinary_a rule_n you_o will_v be_v than_o it_o may_v very_o well_o suffice_v to_o have_v a_o point_n or_o stroke_n show_v when_o the_o sun_n shall_v gradual_o get_v a_o hour_n of_o right_a ascension_n and_o from_o that_o for_o every_o day_n count_v four_o minute_n of_o time_n till_o it_o have_v increase_v to_o a_o hour_n more_o and_o this_o computation_n will_v serve_v very_o well_o and_o in_o stead_n of_o say_v 13_o 14_o 15_o hour_n of_o right_a ascension_n say_v 1_o 2_o 3_o etc._n etc._n which_o will_v perform_v the_o work_n as_o well_o and_o reduce_v the_o time_n to_o more_o proper_a term_n 6._o there_o be_v fit_v two_o line_n one_o contain_v 24_o hour_n and_o the_o other_o 29_o day_n and_o about_o 13_o hour_n and_o they_o serve_v to_o find_v the_o time_n of_o the_o moon_n come_v to_o the_o south_n before_o or_o after_o the_o sun_n and_o by_o that_o the_o time_n of_o high-water_n at_o london-bridge_n or_o any_o other_o place_n as_o be_v ordinary_a chap._n iu._n the_o use_v follow_v in_o order_n 1._o to_o find_v the_o sun_n declination_n lay_v the_o thread_n on_o the_o day_n of_o the_o month_n then_o in_o the_o line_n of_o degree_n you_o have_v the_o declination_n from_o march_v the_o ten_o towards_o the_o head_n be_v the_o declination_n northward_o the_o other_o way_n be_v southward_o as_o by_o the_o time_n of_o the_o year_n be_v discover_v example_n on_o the_o ten_o of_o april_n it_o be_v 11_o 48_o '_o toward_z the_o north_n but_o on_o the_o ten_o of_o october_n it_o be_v 10_o 30_o '_o toward_z the_o south_n 2._o as_o the_o thread_n be_v so_o lay_v on_o the_o day_n of_o the_o month_n in_o the_o line_n of_o the_o sun_n place_n it_o show_v that_o and_o in_o the_o line_n of_o the_o sun_n right_a ascension_n his_o right_a ascension_n also_o only_o you_o must_v give_v it_o its_o due_a order_n of_o reckon_n as_o thus_o it_o begin_v at_o ♈_o aries_n and_o so_o proceed_v to_o ♋_o then_z back_o again_o to_o ♑_o at_o the_o eleven_o of_o december_n then_o forward_o again_o to_o ♈_o aries_n where_o you_o begin_v 3._o to_o find_v the_o sun_n right_a ascension_n in_o hour_n and_o minute_n lay_v the_o thread_n as_o before_o on_o the_o day_n of_o the_o month_n and_o in_o the_o line_n of_o right_a ascension_n you_o have_v the_o hour_n and_o minute_n require_v compute_v right_o according_a to_o the_o time_n of_o the_o year_n that_o be_v begin_v at_o the_o ten_o of_o march_n or_o ♈_o aries_n and_o so_o reckon_v forward_o and_o backward_o as_o the_o month_n go_v example_n on_o the_o ten_o of_o april_n the_o sun_n place_n be_v 1_o degree_n in_o ♉_o taurus_n and_o the_o sun_n right_a ascension_n 1_o hour_n 55_o minute_n on_o the_o ten_o of_o october_n 27_o 1_o 4_o in_o ♎_o libra_n and_o his_o right_a ascension_n be_v 13_o hour_n and_o 42_o minute_n 4._o to_o find_v the_o sun_n amplitude_n at_o rise_v or_o set_v take_v the_o sun_n declination_n out_o of_o the_o particular_a scale_n of_o altitude_n and_o lay_v it_o the_o same_o way_n as_o the_o declination_n be_v from_o 90_o in_o the_o azimuth_n scale_n and_o it_o shall_v show_v
the_o amplitude_n from_o the_o east_n or_o west_n count_v from_o 90._o example_n may_v the_o ten_o it_o be_v 33._o 37._o chap._n v._n have_v the_o sun_n declination_n or_o day_n of_o the_o month_n to_o find_v the_o azimuth_n at_o any_o altitude_n require_v for_o that_o day_n first_o find_v the_o sun_n declination_n by_o the_o first_o proposition_n of_o the_o four_o chapter_n then_o take_v that_o out_o of_o the_o particular_a scale_n of_o altitude_n or_o scale_v to_o 62_o degree_n than_o whatsoever_o the_o altitude_n shall_v happen_v to_o be_v count_v the_o same_o on_o the_o degree_n from_o 60_o towards_o the_o end_n of_o the_o rule_n according_a to_o the_o second_o manner_n of_o count_v in_o the_o three_o proposition_n of_o the_o three_o chapter_n and_o thereunto_o lie_v the_o thread_n than_o the_o compass_n set_v to_o the_o declination_n carry_v one_o point_n along_o the_o line_n of_o hour_n on_o the_o same_o side_n of_o the_o thread_n the_o declination_n be_v that_o be_v to_o say_v if_o the_o day_n of_o the_o month_n or_o declination_n be_v on_o the_o right_a side_n the_o aequinoctial_a then_o carry_v the_o compass_n on_o the_o right_a side_n but_o if_o the_o declination_n be_v on_o the_o south_n side_n that_o be_v towards_o the_o end_n count_v from_o the_o ten_o of_o march_n or_o aries_n or_o libra_n then_o carry_v the_o compass_n along_o the_o line_n of_o hour_n and_o azimuth_n on_o the_o left_a side_n of_o the_o thread_n as_o all_o winâ—er_a time_n it_o will_v be_v and_o have_v set_v the_o compass_n to_o the_o least_o distance_n to_o the_o thread_n it_o shâ—ll_v stay_v at_o the_o sun_n true_a azimuth_n from_o the_o south_n require_v count_v as_o the_o figure_n be_v number_v or_o from_o east_n or_o west_n count_v from_o 90._o example_n 1._o on_o the_o ten_o of_o july_n i_o desire_v to_o find_v the_o sun_n azimuth_n at_o any_o altitude_n first_o on_o that_o day_n i_o find_v the_o sun_n declination_n to_o be_v 20._o 45_o which_o number_n count_v from_o the_o begin_n of_o the_o particular_a scale_n of_o altitude_n towards_o 62_o and_o that_o distance_n take_v between_o your_o compass_n then_o be_v they_o set_v for_o all_o that_o day_n then_o suppose_v the_o sun_n height_n to_o be_v ten_o degree_n lay_v the_o thread_n on_o 10_o count_v from_o 60_o towards_o the_o left_a end_n then_o carry_v the_o compass_n on_o the_o right_a side_n of_o the_o thread_n because_o it_o be_v summer_n or_o north_n declination_n on_o the_o line_n of_o azimuth_n it_o shall_v show_v 110._o 40_o the_o azimuth_n from_o the_o south_n require_v but_o if_o you_o count_v from_o 90_o it_o be_v but_o 20._o 40._o from_o the_o east_n or_o west_n point_v northward_o according_a to_o the_o time_n of_o the_o day_n either_o morning_n or_o evening_n example_n 2._o again_o on_o the_o 14._o of_o november_n or_o the_o 6._o of_o january_n when_o the_o sun_n have_v the_o same_o declination_n southward_o and_o the_o same_o altitude_n to_o work_v this_o you_o must_v lay_v the_o rule_n down_o on_o something_o then_o lay_v the_o thread_n on_o the_o altitude_n count_v from_o 60_o towards_o the_o end_n as_o before_o and_o carry_v the_o compass_n on_o the_o southside_n of_o the_o aequinoctial_a along_o the_o azimuth-line_n till_o the_o other_o point_n do_v but_o just_a touch_n the_o thread_n and_o it_o shall_v stay_v at_o 36._o 45_o the_o azimuth_n from_o south_n require_v if_o it_o be_v morning_n it_o want_v of_o come_v to_o south_n if_o it_o be_v afternoon_n it_o be_v pass_v the_o south_n example_n 3._o but_o if_o the_o sun_n be_v in_o the_o aequinoctial_a and_o have_v no_o declination_n than_o it_o be_v but_o lay_v the_o thread_n to_o the_o altitude_n and_o in_o the_o line_n of_o azimuth_n the_o thread_n shall_v show_v the_o true_a azimuth_n require_v as_o for_o instance_n at_o 00_o degree_n of_o altitude_n the_o azimuth_n be_v 90_o at_o 10_o degree_n it_o be_v 77._o 15_o at_o 20_o degree_n 62._o 45_o at_o 30_o degree_n high_a 43._o 15_o at_o 35_o degree_n high_a 28._o 10_o at_o 38_o degree_n 28_o '_o high_z it_o be_v just_a south_n as_o by_o practice_n may_v plain_o appear_v but_o if_o the_o sun_n altitude_n be_v above_o 45_o than_o the_o degree_n will_v go_v beyond_o the_o end_n of_o the_o rule_n to_o supply_v this_o defect_n do_v thus_o subtract_v 45_o out_o of_o the_o number_n you_o will_v have_v and_o double_a the_o remainder_n then_o lay_v the_o rule_n down_o with_o some_o piece_n of_o the_o same_o thickness_n in_o a_o straight_a line_n with_o the_o movable_a leg_n then_o take_v the_o distance_n from_o the_o tangent_fw-la of_o the_o remainder_n double_v count_v from_o 60_o to_o the_o end_n of_o the_o rule_n in_o the_o line_n next_o the_o edge_n to_o the_o centre_n lay_v that_o distance_n in_o the_o same_o straight_a line_n from_o the_o tangent_fw-la double_v and_o that_o shall_v be_v the_o tangent_fw-la of_o the_o angle_n above_o 45_o whereunto_o you_o must_v lay_v the_o thread_n for_o the_o find_v the_o azimuth_n when_o the_o sun_n be_v above_o 45_o degree_n high_a chap._n vi_o to_o find_v the_o hour_n of_o the_o night_n by_o the_o moon_n first_o by_o the_o help_n of_o a_o almanac_n get_v the_o true_a time_n of_o the_o new_a moon_n then_o compute_v her_o true_a place_n at_o that_o time_n which_o be_v always_o the_o place_n of_o the_o sun_n very_o nigh_o at_o the_o hour_n and_o minute_n of_o conjunction_n then_o compute_v how_o many_o day_n old_a the_o moon_n be_v then_o by_o the_o line_n of_o number_n say_v if_o 29_o day_n 13_o hour_n or_o on_o the_o line_n 29._o 540_o require_v 860_o degree_n or_o 12_o sign_n what_o shall_v â—ny_v less_o number_n of_o day_n and_o part_n of_o a_o day_n require_v the_o answer_n will_v be_v the_o moon_n true_a place_n at_o that_o age_n have_v â—ound_v her_o true_a place_n then_o take_v her_o altitude_n and_o lay_v the_o thread_n on_o the_o moon_n place_v find_v and_o work_v as_o you_o do_v for_o the_o sun_n and_o note_v what_o hour_n you_o find_v then_o consider_v if_o it_o be_v new_a moon_n the_o hour_n you_o find_v be_v thentrue_a hour_n likewise_o in_o the_o full_a but_o if_o it_o be_v before_o or_o after_o you_o must_v subtract_v by_o the_o line_n of_o number_n thus_o if_o 29_o day_n 540_o part_n require_v 24_o hour_n what_o shall_v any_o number_n of_o day_n and_o part_n require_v the_o answer_n be_v what_o you_o must_v take_v away_o from_o the_o moon_n hour_n find_v to_o make_v the_o true_a hour_n of_o the_o night_n which_o be_v require_v but_o for_o more_o plainness_n sake_n i_o will_v reduce_v these_o operation_n to_o so_o many_o proposition_n before_o i_o come_v to_o a_o example_n prop._n 1._o to_o find_v the_o moon_n age._n first_o it_o be_v most_o ready_o and_o exact_o do_v by_o a_o ephemerides_n such_o a_o one_o as_o you_o find_v in_o mr._n lilly_n almanac_n or_o as_o to_o her_o age_n only_o in_o any_o book_n or_o sheet-almanack_n but_o you_o may_v do_v it_o indifferent_o by_o the_o epact_n thus_o by_o the_o rule_n of_o the_o 152_o page_n in_o the_o appendix_n to_o the_o carpenter_n rule_n add_v the_o epact_n the_o month_n and_o the_o day_n of_o the_o month_n together_o and_o the_o sum_n if_o under_o 30_o be_v the_o moon_n age_n but_o if_o above_o consider_v if_o the_o month_n have_v 30_o or_o 31_o day_n then_o subtract_v 29_o or_o 30_o out_o and_o the_o remainder_n be_v the_o moon_n age_n in_o day_n example_n august_n 2._o 1660._o epact_n 28._o month_n 6._o day_n 2._o add_v make_n 36._o now_o august_n or_o six_o month_n have_v 31_o day_n therefore_o 30_o being_n take_v away_o 6_o day_n remain_v for_o the_o moon_n age_n require_v prop._n 2._o to_o find_v the_o moon_n place_n by_o the_o ephemerides_n aforesaid_a in_o mr._n lilly_n almanac_n you_o have_v it_o ser_fw-mi down_o every_o day_n in_o the_o year_n but_o to_o find_v it_o by_o the_o rule_n do_v thus_o count_n six_o day_n back_o from_o august_n 2._o viz._n to_o july_n 27._o there_o lay_v the_o thread_n and_o in_o the_o line_n of_o the_o sun_n place_n you_o have_v the_o moon_n place_v require_v be_v then_o near_o alike_o then_o in_o regard_n the_o moon_n go_v fast_a than_o the_o sun_n that_o be_v to_o say_v in_o 29_o day_n 13_o hour_n 12_o sign_n or_o 360_o degree_n in_o 3_o day_n 1_o sign_n 6_o degr_n 34_o min._n 20_o sec._n in_o one_o day_n o_o sign_n 12_o degr_n 11_o min._n 27_o sec._n in_o one_o hour_n 30_o min._n 29_o sec._n or_o half_o a_o minute_n add_v the_o sign_n and_o degree_n and_o minute_n the_o moon_n have_v go_v in_o so_o many_o day_n and_o hour_n if_o you_o know_v they_o together_o and_o the_o sun_n shall_v be_v the_o moon_n true_a place_n be_v add_v to_o what_o she_o have_v on_o
the_o day_n of_o her_o change_n but_o far_o more_o ready_o and_o as_o exact_o by_o the_o line_n of_o number_n or_o rule_n of_o three_o say_v if_o 29._o 540._o require_v 360._o what_o 6_o facit_fw-la 73_o 1_o 4_o that_o be_v 2_o signs_z 13_o degree_n 15_o minute_n to_o be_v add_v to_o 14_o degree_n in_o ♌_o and_o it_o make_v 27_o 1_o 4_o in_o ♎_o the_o moon_n place_n for_o that_o day_n or_o thus_o multiply_v the_o moon_n age_n by_o 4_o divide_v the_o product_n by_o 10_o the_o quotient_n show_v the_o sign_n and_o the_o remainder_n multiply_v by_o 3_o sheweth_z the_o degree_n which_o you_o must_v add_v to_o the_o sun_n place_n on_o the_o day_n require_v and_o it_o shall_v be_v the_o moon_n true_a place_n require_v for_o that_o day_n of_o her_o age._n example_n july_n 27._o the_o sun_n and_o moon_n be_v in_o leo_n 14_o degr_n 0._o august_n 2._o being_n 6_o day_n add_v the_o moon_n motion_n 2._o 13_o 9_o '_o make_v be_v count_v virgo_fw-la â™_o libra_n ♎_o 27_o deg_n 9_o the_o place_n require_v which_o on_o the_o rule_n you_o may_v count_v without_o all_o this_o work_n or_o trouble_v but_o for_o plainness_n sake_n i_o be_o constrain_v so_o to_o do_v or_o thus_o prop._n 3._o to_o find_v the_o moon_n hour_n to_o do_v this_o you_o must_v do_v the_o work_n of_o the_o second_o chapter_n and_o second_o and_o three_o proposition_n where_o note_n that_o the_o moon_n place_v find_v be_v to_o be_v use_v as_o the_o day_n of_o the_o month_n or_o sun_n declination_n example_n the_o moon_n be_v 27_o degree_n in_o libra_n and_o 20_o degree_n high_a i_o find_v the_o our_o to_o be_v 31_o '_o pass_v 9_o if_o on_o the_o east-side_n or_o 29_o '_o pass_v 2_o if_o on_o the_o westside_n â—f_n the_o meridian_n prop._n 4._o to_o find_v the_o true_a hour_n of_o the_o night_n have_v find_v the_o moon_n hour_n as_o before_o consider_v the_o moon_n age_n then_o say_v by_o the_o line_n of_o number_n or_o rule_n of_o three_o if_o 29._o 540_o part_n require_v 24_o what_o shall_v 6_o day_n require_v facit_fw-la 4_o hour_n and_o 52_o minute_n which_o take_v from_o 9_o 31._o rest_n â—_o 29._o the_o true_a time_n require_v example_n moon_n hour_n 9_o 31_o time_n to_o be_v sub_v â—_o 52_o true_a time_n remain_v 3_o 39_o the_o time_n require_v this_o work_n be_v do_v more_o ready_o by_o the_o two_o line_n fit_v for_o that_o purpose_n for_o look_v for_o 6_o the_o moon_n age_n in_o one_o and_o you_o shall_v find_v â—_o hour_n 52_o minute_n the_o time_n to_o be_v substract_v in_o the_o other_o chap._n vii_o to_o find_v the_o hour_n of_o the_o night_n by_o the_o fix_a star_n for_o the_o do_n of_o this_o i_o have_v make_v choice_n of_o twelve_o principal_a fix_a star_n all_o within_o the_o two_o tropic_n many_o more_o may_v be_v add_v but_o these_o will_v very_o well_o serve_v the_o turn_n the_o name_n of_o they_o and_o their_o right_a ascension_n in_o hour_n and_o minute_n be_v set_v on_o the_o rule_n and_o the_o star_n be_v place_v in_o his_o true_a declination_n on_o or_o among_o the_o month_n and_o for_o to_o know_v the_o star_n next_o to_o a_o tutor_n a_o celestial_a globe_n or_o a_o nocturnal_a of_o all_o the_o chief_a star_n from_o the_o pole_n to_o the_o equinoctial_a and_o to_o be_v have_v at_o the_o sundial_n in_o the_o miâ—nories_n be_v the_o best_a the_o use_n whereof_o do_o follow_v first_o know_v the_o star_n you_o observe_v then_o observe_v his_o altitude_n and_o lay_v the_o thread_n on_o the_o star_n by_o the_o second_o chapter_n second_o and_o three_o proposition_n get_v the_o star_n hour_n than_o out_o of_o the_o righâ—_n ascension_n of_o the_o star_n take_v the_o righâ—_n ascension_n of_o the_o sun_n find_v by_o the_o five_o proposition_n of_o the_o three_o chapter_n for_o that_o day_n and_o note_v the_o difference_n for_o this_o difference_n add_v to_o the_o star_n hour_n find_v shall_v show_v the_o hour_n oâ—_n the_o night_n example_n on_o the_o first_o of_o november_n i_o observe_v the_o altitude_n of_o the_o bulls-eye_n and_o find_v it_o to_o be_v 30._o then_o by_o second_o and_o three_o of_o the_o second_o chapter_n i_o find_v the_o hour_n to_o be_v 7._o 54_o past_o the_o meridian_n the_o sun_n right_a ascension_n that_o day_n find_v to_o be_v 15_o hour_n 8_o minute_n the_o star_n right_a ascension_n be_v 4_o hour_n 16_o minute_n which_o take_v the_o great_a from_o the_o least_o by_o add_v of_o 24_o hour_n reâ—_n 13._o 08._o then_o 7._o 54._o the_o star_n houâ—_n add_v make_v 21._o 02._o from_o which_o taking_n 12_o hour_n rest_v 9_o 02._o the_o hour_n oâ—_n the_o night_n require_v for_o more_o plainness_n note_v the_o work_n of_o two_o or_o threâ—_n example_n star_n right_a ascension_n be_v set_v on_o the_o rule_n 4_o 16_o sun_n right_a asc._n nou._n 1._o 15_o 08_o substraction_n being_n make_v by_o add_v 24_o remain_v 13_o 08_o to_o which_o you_o must_v add_v the_o star_n hour_n find_v 7_o 54_o then_o the_o remainder_n take_v away_o 12_o hour_n be_v 9_o 02_o the_o true_a hour_n again_o may_v 15_o by_o arcturus_n at_o 50_o 0_o '_o high_a westward_n the_o right_a asc._n of_o arcturus_n be_v 14hâ—_o 0_o '_o sun_n right_n asc._n may_v 15._o be_v 4_o 10_o the_o right_a asc._n of_o the_o sun_n take_v from_o the_o r._n asc._n of_o the_o star_n rest_n â—_o 50_o the_o star_n hour_n at_o 50_o degr_n high_a find_v to_o be_v 02_o 13_o which_o be_v add_v to_o the_o difference_n before_o make_v 1â—_n 03_o or_o 11_o 03._o again_o january_n 5._o by_o the_o great-dog_n at_o 15_o degree_n high_a east_n the_o right_a asc._n of_o great-dog_n be_v 06-29_a the_o right_n asc._n of_o the_o sun_n be_v 19_o 50_o substr_n make_v by_o add_v 24_o h._n be_v 10-39_a star_n hour_n at_o 15_o degr_n high_a be_v 9_o 32_o ant_n m._n or_o p._n septen_n which_o add_v to_o the_o difference_n find_v and_o 12_o substract_v remain_v 8._o 11_o '_o for_o the_o true_a hour_n of_o the_o night_n require_v to_o be_v find_v and_o so_o of_o any_o other_o star_n seâ—_n down_o in_o the_o rule_n as_o by_o the_o trial_n and_o practise_n will_v prove_v easy_a and_o ready_a to_o the_o ingenuous_a practitioner_n but_o by_o the_o line_n of_o 24_o or_o twice_o 12_o hour_n and_o the_o help_n of_o a_o pair_n of_o compass_n you_o may_v perform_v it_o without_o write_v it_o down_o thus_o take_v the_o righâ—_n ascension_n of_o the_o sun_n out_o of_o that_o linâ—_n of_o hour_n between_o your_o compass_n be_v always_o count_v under_o 12_o anâ—_n set_v the_o same_o from_o the_o right_a ascension_n of_o the_o star_n towards_o a_o lesser_a number_n oâ—_n the_o beginning_n of_o the_o hour_n and_o thâ—_n point_n shall_v stay_v at_o the_o remainder_n that_o be_v to_o be_v add_v to_o the_o star_n hour_n find_v then_o open_a the_o compass_n from_o thence_o to_o the_o begin_n of_o the_o hour_n and_o add_v that_o to_o the_o star_n hour_n find_v and_o it_o shall_v reach_v to_o the_o hour_n of_o the_o night_n require_v example_n feb._n 6._o 1660._o by_o arcturus_n 20_o degree_n high_a take_v 10_o hour_n 1_o minute_n between_o your_o compass_n and_o set_v it_o from_o 14_o hour_n or_o 2_o hour_n beyond_o 12_o and_o it_o shall_v stay_v at_o 3._o 59_o then_o take_v 3._o 59_o and_o add_v it_o to_o 6._o 24_o the_o star_n hour_n at_o 20_o degree_n high_a and_o it_o shall_v be_v 10._o 23_o the_o hour_n of_o the_o night_n require_v chap._n viii_o to_o find_v the_o amplitude_n or_o azimuth_n of_o the_o fix_a star_n also_o their_o rise_n set_v and_o sothe_v 1._o first_o for_o the_o amplitude_n take_v the_o star_n declination_n from_o the_o particular_a scale_n of_o altitude_n and_o lay_v it_o from_o 90_o in_o the_o azimuth-line_n and_o it_o shall_v show_v his_o amplitude_n from_o east_n or_o west_n towards_o south_n or_o north_n according_a to_o the_o declination_n and_o time_n of_o day_n morning_n or_o evening_n the_o same_o work_n be_v for_o the_o sun_n example_n the_o bulls-eye_n have_v 25._o 54_o degree_n of_o amplitude_n so_o have_v the_o sun_n at_o 15_o degree_n 48_o minute_n of_o declination_n 2._o to_o find_v the_o azimuth_n work_n as_o you_o do_v for_o the_o sun_n at_o the_o same_o declination_n the_o star_n have_v by_o chapter_n 5._o and_o you_o shall_v have_v your_o desire_n example_n december_n 24._o at_o 6_o degree_n high_a by_o the_o bulls-eye_n i_o find_v the_o azimuth_n to_o be_v 107._o 53._o from_o the_o south_n 3_o to_o find_v the_o star_n rise_v and_o set_v lay_v the_o thread_n on_o the_o star_n among_o the_o month_n and_o in_o the_o line_n of_o hour_n it_o show_v the_o star_n rise_v and_o set_v as_o you_o count_v for_o the_o sun_n but_o yet_o note_v this_o be_v
declination_n of_o 12_o principal_a fix_a star_n in_o the_o heaven_n most_o of_o which_o be_v insert_v on_o the_o rule_n or_o if_o room_n will_v allow_v all_o of_o they_o  _fw-fr r._n asc._n declina_fw-la star_n name_n h._n m._n deg._n m._n pleyade_n or_o 7_o star_n 03_o 24_o 23_o 20_o bulls-eye_n 04_o 16_o 15_o 48_o orion_n girdle_n 05_o 18_o 01_o 195_o little_a dog_n 07_o 20_o 06_o 08_o lion_n heart_n 09_o 50_o 13_o 40_o lion_n tail_n 11_o 30_o 16_o 30_o arcturus_n 14_o 00_o 21_o 04_o vulture_n heart_n 19_o 33_o 08_o 00_o dolphin_n head_n 20_o 30_o 14_o 52_o pegasus_n mouth_n 21_o 27_o 08_o 19_o fomahant_n 22_o 39_o 31_o 17_n pegasus_n lower_v wing_n 23_o 55_o 13_o 19_o  _fw-fr 1_o  _fw-fr 3_o  _fw-fr 5_o 7_o 4_o  _fw-fr  _fw-fr 6_o  _fw-fr 8_o  _fw-fr  _fw-fr  _fw-fr month_n 9_o  _fw-fr 11_o  _fw-fr 2_o 10_o 12_o  _fw-fr 1_o 2_o 3_o 4_o 5_o 6_o 7_o  _fw-fr 8_o 9_o 10_o 11_o 12_o 13_o 14_o day_n 15_o 16_o 17_o 18_o 19_o 20_o 21_o  _fw-fr 22_o 23_o 24_o 25_o 26_o 27_o 28_o  _fw-fr 29_o 30_o 31_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr weekday_n s_o m_o t_o w_n t_o f_o sat_n dom._n letter_n d_o c_o b_o a_o g_o f_o e_o leap_n year_n 68_o 80_o 64_o 76_o 60_o 72_o 84_o exact_v 26_o 9_o 12_o 25_o 28_o 11_o 23_o the_o description_n and_o use_v of_o a_o joynt-rule_a chap._n i._n the_o description_n of_o the_o line_n on_o the_o rule_n as_o it_o be_v make_v only_o for_o one_o latitude_n and_o for_o the_o find_v the_o hour_n of_o the_o day_n only_o first_o open_v the_o joint_a of_o the_o rule_n then_o upon_o the_o head-leg_n be_v next_o to_o your_o right_a hand_n you_o have_v a_o line_n beginning_n at_o the_o hole_n which_o be_v the_o centre_n of_o the_o quadrantal_a line_n and_o divide_v from_o thence_o downward_o towards_o the_o head_n into_z as_o many_o degree_n as_o the_o sun_n great_a altitude_n in_o that_o latitude_n will_v be_v which_o with_o we_o at_o london_n be_v to_o 62_o degree_n which_o line_n i_o call_v the_o scale_n of_o altitude_n divide_v to_o whole_a half_n and_o sometime_o quarter_n of_o degree_n 2._o second_o on_o the_o other_o leg_n and_o next_o to_o the_o inside_n be_v the_o line_n of_o hour_n usual_o divide_v into_o hour_n quarter_n and_o every_o five_o minute_n begin_v at_o the_o head_n with_o 4_o and_o so_o proceed_v to_o 5_o 6_o 7_o 8_o 9_o 10_o 11_o and_o 12_o at_o the_o end_n and_o then_o back_o again_o with_o 1_o 2_o 3_o 4_o 5_o 6_o 7_o 8_o for_o the_o morning_n and_o afternoon_n hour_n 3._o next_o to_o this_o be_v a_o calendar_n of_o month_n and_o day_n in_o two_o line_n the_o uppermost_a contain_v that_o half_a year_n the_o day_n lengthen_v in_o and_o the_o lowermost_a the_o shorten_n day_n as_o by_o the_o name_n of_o the_o month_n may_v appear_v the_o name_n of_o every_o month_n stand_v in_o the_o month_n and_o at_o the_o begin_n of_o the_o month_n and_o all_o but_o the_o two_o month_n that_o have_v the_o long_a and_o the_o short_a day_n viz._n june_n and_o december_n be_v divide_v into_o single_a day_n the_o ten_o day_n have_v a_o figure_n 10_o or_o a_o point_n or_o prick_v on_o the_o head_n of_o the_o stroke_n and_o the_o five_o only_o a_o long_a stroke_n without_o a_o prick_n and_o the_o beginning_n of_o every_o month_n a_o long_a stroke_n and_o every_o single_a day_n all_o alike_o of_o one_o shortness_n according_a to_o the_o usual_a manner_n of_o distinguish_v on_o line_n 4._o and_o last_o you_o have_v a_o line_n of_o degree_n for_o so_o they_o be_v most_o proper_o call_v and_o they_o be_v the_o same_o with_o the_o equal_a limb_n on_o quadrant_n and_o serve_v for_o the_o same_o use_n viz._n for_o take_v of_o altitude_n or_o horizontal_a angle_n and_o be_v divide_v usual_o to_o whole_a and_o half_a degree_n of_o the_o quadrant_a and_o figure_v with_o 30_o 40_o 50_o 600_o 7010_o 8020_o and_o 90_o just_a on_o the_o head_n cut_v the_o centre_n or_o point_n where_o the_o scale_n of_o altitude_n and_o the_o line_n of_o hour_n meet_v which_o point_n for_o distinction_n sake_n i_o call_v the_o rectify_v point_n and_o the_o reckon_n on_o this_o line_n as_o to_o take_v of_o altitude_n be_v thus_o at_o the_o number_n 600_o be_v the_o beginning_n then_o towards_o the_o head_n count_v 10_o 20_o 30_o where_o the_o 90_o be_v then_o begin_v at_o the_o end_n again_o &_o count_v as_o the_o figure_n show_v you_o to_o 90_o at_o the_o head_n as_o before_z chap_n ii_o the_o use_v of_o the_o rule_n follow_v 1._o to_o rectify_v or_o set_v the_o rule_n to_o his_o true_a angle_n open_v the_o rule_n to_o 60_o degree_n which_o be_v do_v thus_o indifferent_o make_v the_o line_n on_o the_o head_n and_o the_o line_n on_o the_o other_o leg_n meet_v in_o a_o straight_a line_n then_o be_v the_o scale_n of_o altitude_n and_o the_o line_n of_o hour_n set_v to_o a_o angle_n of_o 60_o degree_n the_o rectify_v point_n be_v the_o centre_n of_o that_o angle_n or_o to_o do_v it_o more_o exact_o do_v thus_o put_v one_o point_n of_o a_o pair_n of_o compass_n into_o the_o rectify_v point_n then_o open_a the_o other_o to_o 10_o 20_o 30_o or_o 40_o on_o the_o scale_n of_o altitude_n the_o compass_n so_o open_v and_o the_o point_n yet_o remain_v in_o the_o rectify_v point_n turn_v the_o other_o to_o that_o margenal_a line_n in_o the_o line_n of_o hour_n that_o cut_v the_o rectify_v point_n and_o there_o stay_v it_o then_o remove_v the_o point_n that_o be_v fix_v in_o the_o rectify_v point_n and_o open_a or_o shut_v the_o rule_n till_o the_o point_n of_o the_o compass_n will_v touch_v 10_o 20_o 30_o or_o 40_o be_v the_o point_n you_o set_v the_o compass_n too_o in_o the_o scale_n of_o altitude_n in_o the_o innermost_a line_n that_o cut_v the_o centre_n and_o the_o rectify_v point_n then_o be_v it_o set_v exact_o to_o 60_o degree_n and_o fit_v for_o observation_n 2._o to_o find_v the_o sun_n altitude_n at_o any_o time_n put_v a_o pin_n in_o the_o centre_n hole_n at_o the_o upper_a end_n of_o the_o scale_n of_o altitude_n and_o on_o the_o pin_n hang_v a_o thread_n and_o plummet_n then_o if_o the_o sun_n be_v low_a that_o be_v to_o say_v under_o 25_o degree_n high_a as_o in_o the_o winter_n it_o will_v always_o be_v then_o lift_v up_o the_o movable_a leg_n where_o the_o month_n and_o the_o degree_n be_v till_o the_o shadow_n of_o the_o end_n fall_v just_a on_o the_o meeting_n of_o that_o leg_n with_o the_o head_n than_o the_o thread_n shall_v show_v the_o sun_n altitude_n count_v from_o 600_o towards_o the_o head_n either_o 10_o 20_o 25_o or_o any_o degree_n between_o but_o if_o the_o sun_n be_v above_o 25_o or_o 30_o degree_n high_a lift_v up_o the_o head_n leg_n till_o the_o shadow_n of_o that_o play_n as_o before_o or_o make_v the_o shadow_n of_o the_o pin_n in_o the_o centre_n hole_n play_v on_o the_o innermost_a line_n of_o the_o scale_n of_o altitude_n where_o the_o pin_n stand_v than_o the_o thread_n will_v fall_v on_o the_o degree_n and_o part_n of_o a_o degree_n that_o his_o true_a altitude_n shall_v be_v but_o if_o the_o sun_n be_v in_o a_o cloud_n and_o can_v not_o be_v see_v so_o as_o to_o give_v a_o shadow_n then_o look_v up_o along_o by_o the_o head-leg_n or_o movable_a leg_n just_a against_o the_o middle_n of_o the_o round_a body_n of_o the_o sun_n and_o the_o thread_n play_v even_o by_o the_o degree_n shall_v show_v the_o true_a altitude_n require_v the_o like_a must_v you_o do_v for_o a_o star_n or_o any_o other_o object_n who_o altitude_n you_o will_v find_v 3._o have_v find_v the_o sun_n altitude_n and_o the_o day_n of_o the_o month_n to_o find_v the_o hour_n of_o the_o day_n whatsoever_o you_o find_v the_o altitude_n to_o be_v take_v the_o same_o off_o from_o the_o line_n of_o altitude_n from_o the_o centre_n downward_o with_o a_o pair_n of_o compass_n then_o lay_v the_o thread_n be_v put_v over_o the_o pin_n on_o the_o day_n of_o the_o month_n than_o put_v one_o foot_n of_o the_o compass_n in_o the_o line_n of_o hour_n in_o that_o line_n that_o cut_v the_o rectify_v point_n and_o carry_v it_o further_o off_o or_o nigh_o till_o the_o other_o foot_n of_o the_o compass_n be_v turn_v about_o will_v just_o touch_v the_o thread_n at_o the_o near_a distance_n than_o the_o point_n of_o the_o compass_n on_o the_o line_n of_o hour_n shall_v show_v the_o true_a hour_n and_o minute_n of_o the_o day_n require_v example_n on_o the_o 2._o of_o july_n 1._o i_o observe_v the_o altitude_n in_o the_o morning_n and_o i_o find_v it_o to_o be_v 30_o degree_n high_a then_o lay_v the_o thread_n on_o the_o day_n of_o