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note_v upon_o the_o point_n east_n and_o west_n whereby_o i_o know_v that_o when_o the_o moon_n be_v east_n or_o west_n it_o be_v always_o full_a sea_n at_o dartmouth_n therefore_o i_o place_v the_o index_n of_o the_o moon_n upon_o the_o point_n east_n and_o there_o hold_v it_o without_o move_v i_o turn_v the_o index_n of_o the_o sun_n until_o i_o bring_v the_o 21._o day_n of_o the_o moon_n age_n unto_o the_o index_n of_o the_o moon_n and_o then_o the_o index_n of_o the_o sun_n show_v i_o upon_o the_o compass_n that_o at_o 10._o of_o the_o clock_n and_o 48._o minute_n past_a it_o be_v full_a sea_n at_o dartmouth_n when_o the_o moon_n be_v 21._o day_n old_a and_o not_o only_o at_o dartmouth_n but_o my_o instrument_n show_v i_o that_o the_o same_o instant_n it_o be_v also_o full_a sea_n at_o exmouth_n weymouth_n plymouth_n mount_v bay_n at_z lynne_z and_o at_o homber_n and_o thus_o with_o great_a facility_n the_o time_n of_o flow_n and_o reflowing_n be_v most_o precise_o know_v and_o now_o that_o there_o may_v be_v a_o final_a end_n of_o the_o use_n and_o effect_n of_o the_o compass_n it_o be_v convenient_a that_o i_o make_v know_v unto_o you_o how_o many_o league_n shall_v be_v sail_v upon_o every_o particular_a point_n of_o the_o compass_n for_o the_o raise_n or_o lay_v of_o the_o degree_n of_o latitude_n and_o in_o the_o distance_n sail_v how_o far_o you_o shall_v he_o separate_v from_o the_o meridian_n from_o whence_o the_o say_a course_n be_v begin_v for_o as_o every_o point_n of_o the_o compass_n have_v his_o certain_a limit_a distance_n for_o the_o degree_n of_o the_o pole_n elevation_n so_o they_o do_v likewise_o lead_v from_o longitude_n to_o longtitude_n every_o point_n according_a to_o his_o ratable_a limit_n which_o distance_n of_o league_n be_v without_o alteration_n keep_v one_o and_o the_o same_o proportion_n in_o every_o particular_a horizon_n of_o any_o latitude_n but_o the_o degree_n of_o longitude_n answerable_a to_o such_o distance_n do_v differ_v in_o every_o altitude_n according_a to_o the_o nature_n of_o of_o the_o perallell_n as_o hereafter_o shall_v be_v more_o plain_o manifest_v and_o now_o know_v that_o in_o sail_a north_n and_o south_n you_o depart_v not_o from_o your_o meridian_n and_o in_o every_o 20._o league_n sail_v you_o raise_v a_o degree_n nor_o be_v by_o east_n raise_v a_o degree_n in_o sail_v 20._o league_n and_o one_o mile_n and_o lead_v from_o the_o meridian_n 4._o league_n nor_o noreast_n raise_v a_o degree_n in_o say_v 21._o league_n
march_n how_o to_o find_v the_o moon_n age_n first_o consider_v the_o day_n of_o the_o month_n wherein_o you_o seek_v the_o moon_n age_n then_o note_v how_o many_o month_n there_o be_v between_o the_o say_a month_n and_o march_n including_z both_o month_n unto_o those_o number_n add_v the_o epact_n of_o that_o year_n that_o be_v you_o must_v add_v into_o one_o sum_n the_o day_n of_o the_o month_n between_o march_n and_o your_o month_n reckon_v both_o month_n and_o the_o epact_n all_o which_o number_n join_v together_o if_o they_o exceed_v not_o 30._o be_v the_o moon_n age_n if_o they_o be_v more_o than_o 30._o cast_n away_o 30_o as_o often_o as_o you_o can_v and_o the_o remainder_n be_v the_o moon_n age_n if_o it_o be_v just_a 30._o it_o be_v then_o new_a moon_n if_o 7._o it_o be_v the_o first_o quarter_n day_n if_o 15._o it_o be_v full_a moon_n if_o 22._o it_o be_v then_o the_o last_o quarter_n day_n and_o thus_o the_o moon_n age_n be_v find_v for_o ever_o and_o now_o be_v able_a 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tide_n multiply_v the_o moon_n age_n by_o 4._o divide_v the_o product_n by_o 5._o and_o to_o the_o quotient_a add_v the_o hour_n which_o make_v full_a sea_n in_o that_o place_n upon_o the_o change_n day_n if_o it_o exceed_v 12._o cast_n away_o 12._o as_o oft_o as_o you_o may_v and_o then_o the_o hour_n of_o full_a sea_n remain_v and_o for_o every_o 1._o that_o rest_v upon_o your_o division_n allow_v 12._o minute_n to_o be_v add_v to_o the_o hour_n for_o 2._o 24._o minute_n for_o 3._o 36_o and_o for_o 4._o 48._o minute_n for_o more_o than_o 4._o will_v never_o remain_v and_o thus_o you_o may_v know_v your_o tide_n to_o a_o minute_n example_n the_o moon_n be_v twelve_o day_n old_a i_o desire_v to_o know_v the_o time_n of_o full_a sea_n at_o london_n first_o it_o be_v find_v by_o experience_n that_o a_o south-west_n and_o northeast_n moon_n make_v full_a sea_n at_o london_n next_o i_o consider_v that_o 3._o of_o the_o clock_n be_v the_o hour_n appropriate_v to_o that_o point_n of_o the_o compass_n which_o number_n i_o keep_v in_o memory_n than_o i_o multiply_v the_o moon_n age_n be_v 12._o by_o 4._o and_o that_o yield_v 48._o which_o be_v divide_v by_o 5._o it_o give_v in_o the_o quotient_a 9_o and_o three_o remain_v i_o add_v the_o quotient_a 9_o to_o the_o hour_n 3._o and_o it_o make_v 12._o hour_n and_o for_o the_o remain_a number_n 3_o i_o also_o add_v 36._o minute_n so_o that_o i_o find_v when_o the_o moon_n be_v 12._o day_n old_a it_o be_v 12._o of_o the_o clock_n and_o 36._o minute_n past_a at_o the_o instant_n of_o full_a sea_n at_o london_n by_o this_o order_n you_o may_v at_o all_o place_n &_o time_n know_v the_o certainty_n of_o your_o tide_n at_o your_o pleasure_n but_o those_o that_o be_v not_o practise_v in_o arithmetic_n may_v account_v their_o tide_n in_o this_o sort_n know_v how_o many_o day_n old_a the_o moon_n be_v he_o must_v place_v the_o moon_n upon_o that_o point_n of_o the_o compass_n which_o make_v full_a sea_n at_o the_o place_n desire_v and_o then_o reckon_v from_o that_o point_n with_o the_o sun_n according_a to_o the_o diurnal_a motion_n must_v account_v so_o many_o point_n and_o so_o many_o time_n 3._o minute_n as_o the_o moon_n be_v day_n old_a that_o be_v for_o every_o day_n one_o point_n and_o 3._o minute_n and_o there_o find_v the_o sun_n he_o must_v consider_v what_o be_v the_o hour_n allow_v to_o that_o point_n where_o he_o find_v the_o sun_n for_o that_o be_v the_o hour_n of_o full_a sea_n as_o for_o example_n the_o moon_n be_v 12_o day_n old_a i_o desire_v to_o know_v the_o hour_n of_o full_a sea_n of_o london_n now_o find_v by_o former_a experience_n that_o a_o south-west_n moon_n make_v full_a sea_n at_o london_n i_o therefore_o place_v the_o moon_n upon_o the_o point_n southwest_n than_o i_o account_v from_o the_o point_n southwest_n 12_o points_z reckon_v with_o the_o sun_n according_a to_o the_o diurnal_a motion_n south-west_n and_o by_o west_n for_o the_o first_o point_n west_n southwest_n for_o the_o 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knowledge_n of_o the_o tide_n name_v a_o horizontall_a tide_n table_n of_o this_o instrument_n and_o his_o part_n this_o necessary_a instrument_n for_o the_o young_a practise_v seaman_n use_n nameâ—_n a_o horizontall_a tide_n table_n whereby_o he_o may_v shift_v his_o sun_n and_o moon_n as_o they_o term_v it_o and_o know_v the_o time_n of_o his_o tide_n with_o ease_n and_o very_o certain_o beside_o the_o answer_n of_o many_o pleasant_a and_o necessary_a question_n use_v among_o mariner_n i_o have_v contrive_v into_o this_o method_n only_o for_o the_o benefit_n of_o such_o young_a practiser_n in_o havigation_n the_o first_o part_n of_o this_o instrument_n be_v a_o sea_n compass_n divide_v into_o 32._o point_n or_o equal_a part_n the_o innermost_a circle_n of_o which_o compass_n be_v divide_v into_o 24._o hour_n and_o every_o of_o those_o into_o 4._o quarter_n each_o quarter_n be_v 15._o minute_n and_o against_o every_o point_n of_o the_o compass_n those_o place_n be_v lay_v down_o in_o which_o place_n it_o be_v full_a sea_n when_o the_o moon_n come_v upon_o the_o same_o point_n so_o that_o whatsoever_o be_v require_v as_o touch_v time_n or_o the_o point_n of_o the_o compass_n be_v there_o to_o be_v know_v the_o next_o movable_a circle_n upon_o this_o compass_n be_v limit_v to_o the_o sun_n upon_o who_o index_n the_o sun_n be_v lay_v down_o which_o circle_n be_v divide_v into_o 30_o equal_a part_n or_o day_n signify_v the_o 30_o day_n between_o change_n and_o change_v according_a to_o the_o seaman_n account_n so_o that_o whatsoever_o be_v demand_v as_o touch_v the_o age_n of_o the_o moon_n be_v upon_o the_o circle_n to_o be_v know_v the_o uppermost_a movable_a circle_n be_v apply_v to_o the_o moon_n upon_o who_o index_n the_o moon_n be_v lay_v down_o which_o be_v to_o be_v place_v either_o to_o the_o point_n and_o part_n of_o the_o compass_n or_o to_o the_o time_n of_o her_o age_n as_o the_o question_n require_v which_o consider_v the_o use_n of_o this_o instrument_n 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upon_o the_o horizon_n but_o if_o it_o be_v leap_v year_n you_o must_v not_o take_v the_o precise_a day_n of_o the_o month_n wherein_o you_o seek_v the_o sun_n place_n but_o the_o next_o day_n follow_v and_o against_o that_o day_n seek_v the_o declination_n to_o find_v the_o pole_n height_n by_o any_o two_o know_a fix_a star_n when_o you_o see_v any_o 2._o fix_a star_n which_o you_o know_v to_o be_v both_o at_o one_o instant_a in_o the_o horizon_n upon_o your_o globe_n search_v for_o those_o star_n and_o bring_v one_o of_o they_o to_o touch_v the_o horizon_n of_o the_o globe_n if_o the_o other_o do_v not_o likewise_o touch_v the_o horizon_n you_o must_v raise_v or_o depress_v the_o pole_n by_o discreet_a move_n of_o the_o meridian_n until_o you_o bring_v both_o those_o star_n to_o be_v at_o one_o instant_a in_o the_o horizon_n for_o then_o the_o globe_n do_v stand_v to_o his_o true_a elevation_n to_o find_v the_o pole_n height_n by_o any_o two_o know_a fix_a star_n a_o other_o way_n 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and_o there_o will_v appear_v the_o latitude_n desire_v for_o so_o many_o degree_n and_o minute_n as_o that_o mark_n be_v from_o the_o equator_fw-la so_o much_o be_v the_o pole_n elevate_v above_o the_o horizon_n this_o conclusion_n the_o seaman_n ought_v to_o have_v in_o good_a esteem_n to_o know_v the_o precise_a hour_n at_o all_o time_n by_o the_o sun_n for_o the_o find_n of_o the_o hour_n of_o the_o day_n by_o the_o globe_n it_o be_v necessary_a that_o the_o pole_n height_n be_v first_o know_v therefore_o set_v the_o pole_n to_o his_o true_a elevation_n and_o the_o zenith_n to_o his_o answerable_a latitude_n then_o bring_v the_o place_n of_o the_o sun_n in_o the_o ecliptic_a under_o the_o meridian_n there_o hold_v the_o globe_n steady_a place_v the_o index_n of_o the_o ciclus_fw-la horarius_fw-la upon_o 12._o of_o the_o clock_n or_o noon_n your_o globe_n thus_o order_v then_o with_o your_o cross_a staff_n take_v the_o sun_n height_n from_o the_o horizon_n that_o be_v know_v you_o must_v bring_v the_o place_n of_o the_o sun_n to_o the_o quarta_fw-la altitudo_fw-la by_o move_v the_o globe_n and_o quarta_fw-la altitudo_fw-la until_o the_o place_n of_o the_o sun_n do_v agree_v with_o the_o observe_v altitude_n there_o hold_v the_o globe_n that_o he_o move_v not_o the_o index_n do_v show_v upon_o the_o ciclus_fw-la horarius_fw-la the_o true_a hour_n desire_v to_o find_v the_o hour_n of_o the_o night_n by_o any_o know_a fix_a star_n set_v the_o globe_n to_o his_o true_a altitude_n and_o the_o zenith_n to_o his_o answerable_a latitude_n you_o must_v also_o place_v the_o index_n of_o the_o ciclus_fw-la horarius_fw-la upon_o the_o hour_n of_o 12._o or_o noon_n by_o bring_v the_o sun_n place_n under_o the_o meridian_n etc._n etc._n as_o before_o you_o do_v by_o the_o sun_n then_o take_v the_o height_n of_o any_o know_a fix_a star_n bring_v that_o star_n to_o the_o quarta_fw-la altitudo_fw-la by_o move_v the_o globe_n and_o quarta_fw-la altitudo_fw-la until_o the_o star_n 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the_o use_n of_o the_o quadrant_a from_o the_o beam_n of_o the_o sun_n to_o the_o beam_n of_o the_o eye_n for_o whereas_o by_o the_o quadrant_a the_o sun_n beam_n perceive_v the_o dioptra_n show_v his_o height_n so_o by_o the_o cross_a staff_n the_o beam_n of_o the_o eye_n convey_v to_o the_o sun_n or_o star_n do_v likewise_o give_v their_o height_n the_o demonstration_n whereof_o be_v thus_o make_v a_o plain_a square_a consist_v of_o 4._o right_a angle_n as_o be_v the_o square_a i._n o._n h._n n._n the_o angle_n i._o shall_v be_v assign_v the_o centre_n of_o the_o quadrant_a where_o place_v one_o foot_n of_o your_o compass_n stretch_v the_o other_o foot_n to_o the_o angle_n n._n and_o therewith_o describe_v a_o quarter_n of_o a_o circle_n as_o be_v the_o ark_n o._n d._n n._n then_o from_o the_o