as_o you_o sail_v along_o how_o you_o may_v know_v the_o distance_n of_o your_o ship_n from_o they_o it_o be_v the_o custom_n of_o passenger_n when_o they_o first_o descry_v that_o land_n which_o they_o will_v arrive_v at_o to_o ask_v the_o pilot_n how_o far_o they_o be_v from_o land_n unto_o which_o question_n he_o may_v well_o answer_v if_o he_o know_v two_o cape_n or_o point_n or_o notable_a place_n thereupon_o which_o place_n the_o further_o they_o be_v asunder_o one_o from_o another_o the_o more_o certain_o may_v he_o answer_v to_o that_o question_n let_v he_o pitch_v therefore_o one_o foot_n of_o one_o pair_n of_o compass_n upon_o one_o of_o the_o two_o foresay_a cape_n and_o the_o other_o foot_n upon_o the_o rumb_n which_o in_o his_o compass_n point_v towards_o that_o cape_n and_o in_o like_a manner_n shall_v he_o do_v with_o another_o pair_n of_o compass_n place_v one_o foot_n thereof_o upon_o the_o other_o know_v cape_n and_o the_o other_o foot_n upon_o the_o rumb_n which_o stretch_v towards_o the_o say_v second_o cape_n and_o move_v the_o two_o compass_n so_o open_v by_o their_o two_o rumb_n off_o from_o the_o land_n the_o very_a same_o point_n where_o the_o two_o foot_n which_o come_v from_o the_o two_o cape_n do_v meet_v you_o may_v affirm_v to_o be_v the_o very_a point_n where_o your_o ship_n be_v and_o then_o take_v measure_n by_o the_o scale_n of_o league_n you_o may_v see_v what_o distance_n there_o be_v from_o the_o say_a point_n to_o either_o of_o the_o foresay_a cape_n or_o to_o any_o other_o place_n which_o you_o think_v good_a for_o it_o be_v a_o very_a easy_a matter_n if_o you_o know_v the_o point_n where_o your_o ship_n be_v chap._n xxxi_o of_o the_o account_n of_o the_o moon_n the_o account_n of_o the_o moon_n and_o of_o the_o tide_n be_v most_o necessary_a to_o be_v know_v of_o mariner_n to_o enter_v and_o depart_v from_o any_o havens_n rivers_n or_o bar_n and_o to_o pass_v by_o some_o bank_n and_o shoald_n a_o tide_n be_v a_o regular_a motion_n of_o the_o sea_n whereby_o at_o some_o time_n it_o seem_v more_o increase_v then_o at_o other_o and_o these_o tide_n be_v of_o two_o sort_n for_o some_o be_v such_o as_o we_o call_v springtide_n and_o neap-tide_n and_o the_o course_n of_o this_o motion_n happen_v from_o one_o half_a month_n to_o another_o half_a month_n other_o be_v those_o which_o we_o call_v more_o proper_o by_o the_o name_n of_o tide_n to_o wit_n a_o full_a sea_n and_o a_o low_a sea_n a_o swell_a and_o a_o fall_a sea_n and_o these_o be_v from_o the_o one_o half_a lunar_a day_n to_o the_o other_o half_a which_o tide_n as_o well_o the_o first_o as_o the_o second_o have_v their_o course_n and_o move_a from_o the_o motion_n of_o the_o moon_n which_o be_v of_o two_o sort_n one_o proper_a from_o west_n to_o east_n by_o mean_n whereof_o in_o thirty_o day_n almost_o it_o be_v in_o conjunction_n with_o the_o sun_n which_o we_o call_v the_o new_a moon_n and_o in_o opposition_n which_o we_o call_v the_o full_a of_o the_o moon_n and_o those_o we_o name_v the_o quarter_n when_o it_o shine_v half_a unto_o we_o the_o other_o motion_n be_v from_o east_n to_o west_n by_o the_o force_n of_o the_o primum_fw-la mobile_a or_o the_o first_o movable_a heaven_n whereby_o in_o one_o lunar_a day_n the_o moon_n pass_v over_o all_o the_o two_o and_o thirty_o point_n of_o the_o compass_n or_o to_o speak_v more_o plain_o it_o rise_v and_o set_v and_o return_v again_o to_o arise_v which_o two_o motion_n of_o the_o moon_n be_v know_v we_o may_v easy_o discern_v the_o manner_n of_o both_o kind_n of_o the_o foresay_a tide_n and_o because_o that_o to_o the_o knowledge_n hereof_o it_o be_v requisite_a that_o we_o know_v the_o middle_a motion_n of_o the_o moon_n i_o will_v first_o set_v down_o how_o it_o may_v be_v know_v and_o then_o how_o thereby_o we_o may_v discern_v the_o season_n of_o the_o tide_n for_o which_o purpose_n we_o be_v to_o note_v that_o the_o golden_a number_n as_o it_o be_v common_o call_v be_v a_o certain_a number_n of_o year_n wherein_o the_o moon_n have_v all_o the_o diversity_n of_o aspect_n with_o the_o sun_n that_o can_v happen_v between_o they_o which_o be_v do_v in_o every_o nineteen_o year_n almost_o as_o for_o example_n if_o in_o the_o year_n 1588._o there_o be_v a_o conjunction_n of_o the_o sun_n and_o moon_n upon_o the_o 26_o of_o april_n or_o a_o opposition_n upon_o the_o 11_o of_o april_n i_o say_v that_o there_o shall_v not_o happen_v a_o conjunction_n of_o the_o sun_n and_o moon_n upon_o the_o 26_o of_o april_n nor_o a_o opposition_n upon_o the_o 11_o of_o april_n till_o 19_o year_n be_v expire_v which_o will_v be_v in_o the_o year_n of_o our_o lord_n 1607._o and_o so_o be_v we_o to_o conceive_v likewise_o of_o the_o quarter_n and_o other_o aspect_n the_o second_o thing_n to_o be_v note_v be_v that_o from_o this_o golden_a number_n spring_v another_o which_o be_v call_v the_o concurrent_a be_v the_o day_n of_o the_o moon_n at_o the_o begin_n of_o the_o year_n which_o year_n according_a to_o that_o account_n begin_v from_o the_o last_o of_o february_n about_o twelve_o a_o clock_n at_o night_n which_o be_v the_o begin_n of_o march._n and_o the_o day_n of_o the_o moon_n which_o then_o remain_v beside_o all_o the_o whole_a lunare_fw-la month_n of_o the_o year_n past_a be_v call_v by_o calculator_n the_o concurrent_n because_o they_o serve_v to_o know_v the_o account_n of_o the_o moon_n throughout_o the_o whole_a year_n that_o be_v to_o come_v and_o they_o concur_v with_o other_o number_n to_o know_v the_o age_n of_o the_o moon_n now_o by_o these_o two_o number_n to_o be_v able_a to_o discern_v the_o day_n of_o the_o moon_n or_o the_o distance_n thereof_o from_o the_o sun_n you_o be_v to_o note_v the_o rule_n follow_v the_o first_o rule_n of_o the_o golden_a number_n from_o the_o present_a year_n of_o our_o lord_n you_o must_v deduct_v 1500._o and_o out_o of_o the_o remainder_n take_v one_o in_o every_o twenty_o we_o shall_v find_v the_o golden_a number_n if_o they_o be_v just_a twenty_n but_o if_o they_o be_v not_o just_a twenty_n above_o the_o number_n of_o twenty_n we_o must_v add_v that_o which_o remain_v above_o the_o twenty_n all_o which_o be_v add_v together_o if_o it_o exceed_v not_o nineteen_o shall_v be_v the_o golden_a number_n but_o if_o it_o exceed_v nineteen_o cast_v away_o nineteen_o and_o the_o remainder_n be_v the_o golden_a number_n the_o second_o rule_n of_o the_o concurrent_a divide_v the_o golden_a number_n by_o three_o and_o if_o there_o remain_v one_o the_o concurrent_a be_v equal_a with_o the_o golden_a number_n and_o if_o there_o remain_v two_o the_o concurrent_a be_v great_a than_o the_o golden_a number_n by_o ten_o but_o if_o nothing_o remain_v the_o concurrent_a exceed_v the_o golden_a number_n by_o twenty_o and_o if_o this_o concurrent_a exceed_v the_o number_n of_o thirty_o than_o the_o remainder_n or_o surplusage_n shall_v be_v the_o concurent_fw-fr the_o three_o rule_n of_o the_o conjunction_n the_o number_n of_o the_o concurent_fw-fr being_n know_v you_o must_v add_v it_o unto_o the_o number_n of_o month_n which_o have_v pass_v from_o the_o begin_n of_o march_n last_o pass_v till_o the_o end_n of_o that_o month_n wherein_o you_o will_v know_v the_o same_o and_o if_o the_o whole_a product_n amount_v not_o to_o thirty_o mark_v how_o much_o it_o want_v of_o thirty_o and_o if_o it_o exceed_v thirty_o see_v what_o it_o lack_v of_o sixty_o and_o that_o which_o it_o want_v either_o of_o thirty_o or_o sixty_o be_v the_o number_n of_o the_o day_n of_o such_o a_o month_n wherein_o the_o conjunction_n happen_v the_o four_o rule_n of_o the_o full_a and_o quarter_n of_o the_o moon_n if_o the_o day_n of_o the_o conjunction_n be_v before_o the_o 15_o day_n of_o the_o month_n add_v 15_o unto_o the_o day_n of_o the_o conjunction_n and_o you_o shall_v find_v the_o day_n of_o the_o full_a moon_n and_o if_o the_o conjunction_n happen_v after_o the_o 15_o day_n take_v away_o 15_o from_o the_o number_n of_o the_o day_n of_o the_o conjunction_n and_o you_o shall_v have_v the_o full_a moon_n of_o that_o month_n the_o first_o quarter_n be_v seven_o day_n after_o the_o conjunction_n and_o the_o last_o quarter_n seven_o day_n after_o the_o full_a moon_n the_o five_o rule_n of_o the_o springtide_n and_o neap-tide_n upon_o the_o day_n of_o the_o conjunction_n and_o of_o the_o full_a moon_n be_v the_o springtide_n and_o upon_o the_o two_o quarter_n day_n be_v the_o neap-tide_n and_o so_o much_o the_o more_o do_v the_o water_n increase_v as_o the_o conjunction_n or_o full_a moon_n be_v near_o and_o so_o much_o the_o more_o they_o decrease_v also_o the_o near_a they_o come_v unto_o
the_o quarter_n a_o example_n whereby_o the_o foresay_a rule_n be_v make_v more_o plain_a suppose_v a_o fleet_n of_o ship_n lie_v within_o the_o heaven_n of_o san_n lucar_n de_fw-fr barrameda_fw-la expect_v a_o fit_a time_n to_o pass_v over_o the_o bar_n towards_o the_o indies_n it_o be_v evident_a that_o if_o the_o ship_n be_v great_a they_o have_v need_n of_o much_o water_n to_o pass_v the_o bank_n or_o the_o bar_n which_o quantity_n of_o water_n be_v only_o in_o the_o springtide_n and_o because_o they_o be_v twice_o in_o one_o month_n namely_o in_o the_o conjunction_n and_o in_o the_o full_a of_o the_o moon_n i_o desire_v to_o know_v when_o the_o springtide_n and_o neap-tide_n of_o the_o month_n of_o june_n in_o the_o year_n 1588._o be_v to_o be_v expect_v in_o which_o month_n i_o presuppose_v the_o fleet_n be_v to_o depart_v first_o therefore_o i_o cast_v away_o 1500_o and_o cut_v of_o the_o 88_o remain_v i_o take_v from_o each_o 20._o one_o which_o make_v four_o in_o all_o which_o be_v add_v to_o the_o 8_o that_o surmount_v 80._o they_o make_v the_o golden_a number_n to_o be_v 12_o according_a to_o the_o first_o rule_n i_o divide_v these_o twelve_o by_o three_o and_o the_o quotient_n be_v four_o and_o nothing_o remain_v and_o because_o there_o be_v no_o remainder_n i_o will_v take_v two_o more_o of_o the_o concurrent_a thâ—n_n of_o the_o golden_a number_n and_o there_o shall_v be_v two_o of_o the_o concurrent_a cast_v away_o thirty_o by_o the_o second_o rule_n add_v these_o two_o to_o the_o four_o month_n which_o be_v from_o the_o begin_n of_o march_n pass_v till_o this_o present_a month_n of_o june_n england_n i_o find_v that_o they_o make_v six_o and_o because_o six_o want_n twenty_o four_o to_o make_v up_o thirty_o i_o say_v that_o in_o the_o year_n 1588._o we_o have_v a_o conjunction_n of_o the_o moon_n upon_o the_o 24_o of_o june_n by_o the_o three_o rule_n and_o add_v seven_o unto_o the_o day_n of_o this_o conjunction_n you_o have_v the_o first_o day_n of_o july_n which_o be_v the_o day_n of_o the_o first_o quarter_n and_o take_v away_o 15_o from_o 24_o be_v the_o number_n of_o the_o conjunction_n day_n there_o remain_v nine_o and_o upon_o that_o day_n of_o the_o month_n you_o have_v the_o full_a moon_n and_o add_v other_o seven_o unto_o the_o nine_o day_n of_o the_o full_a moon_n you_o have_v the_o last_o quarter_n upon_o the_o sixteen_o of_o june_n by_o the_o four_o rule_n i_o say_v therefore_o that_o the_o springtide_n or_o great_a water_n of_o the_o month_n of_o june_n be_v in_o that_o year_n upon_o the_o nine_o and_o four_o and_o twenty_o day_n of_o june_n and_o the_o neap-tide_n or_o less_o water_n be_v upon_o the_o sixteenth-day_n of_o june_n and_o the_o first_o of_o july_n by_o the_o five_o rule_n chap._n xxxii_o of_o the_o daily_a tide_n now_o that_o we_o know_v the_o rule_n of_o the_o springtide_n and_o neap-tide_n let_v we_o say_v somewhat_o of_o the_o tide_n that_o happen_v every_o day_n which_o depend_v upon_o another_o swift_a motion_n of_o the_o moon_n whereby_o turn_v round_o about_o the_o world_n from_o east_n to_o west_n it_o pass_v every_o day_n by_o the_o 32_o point_n of_o the_o compass_n and_o this_o daily_a motion_n of_o the_o sea_n fall_v not_o every_o day_n at_o the_o same_o hour_n because_o the_o moon_n do_v not_o always_o keep_v one_o and_o the_o same_o distance_n from_o the_o sun_n for_o the_o moon_n move_v almost_o thirteen_o degree_n of_o her_o proper_a motion_n in_o one_o natural_a day_n whereas_o the_o sun_n move_v scarce_o one_o and_o so_o one_o be_v take_v from_o thirteen_o there_o remain_v 12._o and_o because_o the_o sun_n do_v give_v and_o mark_v out_o unto_o we_o hour_n and_o the_o moon_n tide_n it_o come_v to_o pass_v that_o a_o hour_n be_v that_o space_n of_o time_n wherein_o fifteen_o degree_n of_o the_o equinoctial_a pass_n by_o every_o point_n of_o the_o compass_n the_o part_n by_o which_o the_o moon_n be_v distant_a from_o the_o sun_n shall_v be_v twelve_o degree_n which_o twelve_o be_v â…˜_n of_o fifteen_o degree_n contain_v in_o each_o hour_n insomuch_o that_o the_o moon_n by_o her_o middle_a motion_n be_v every_o day_n distant_a from_o the_o sun_n about_o twelve_o degree_n which_o be_v reduce_v into_o time_n do_v make_v â…˜_n part_n of_o a_o hour_n whereby_o the_o moon_n be_v every_o day_n slow_a than_o the_o sun_n in_o come_v to_o each_o point_n of_o the_o heaven_n by_o the_o motion_n from_o east_n to_o west_n in_o regard_n of_o that_o which_o she_o have_v borrow_v for_o she_o own_o proper_a motion_n from_o west_n to_o east_n whereof_o it_o come_v to_o pass_v that_o so_o many_o day_n as_o the_o moon_n be_v old_a so_o many_o time_n â…˜_n part_n of_o a_o hour_n it_o be_v slow_a than_o the_o sun_n in_o pass_v by_o each_o rumb_n until_o the_o day_n of_o their_o conjunction_n when_o as_o they_o pass_v both_o by_o the_o same_o rumb_n in_o one_o and_o the_o same_o hour_n and_o so_o according_o because_o we_o be_v to_o set_v down_o the_o certain_a hour_n of_o every_o day_n wherein_o the_o tide_n happen_v we_o must_v diligent_o observe_v the_o rule_n follow_v the_o first_o rule_n in_o divers_a part_n of_o the_o sea_n coast_n the_o moon_n make_v a_o full_a sea_n every_o day_n be_v in_o divers_a rumb_n according_a to_o the_o disposition_n of_o the_o land_n but_o upon_o all_o the_o coast_n of_o spain_n in_o the_o ocean_n it_o be_v full_a sea_n when_o the_o moon_n be_v in_o the_o north-east_n and_o south-west_n the_o second_o rule_n upon_o the_o day_n of_o the_o conjunction_n and_o full_a moon_n you_o have_v a_o full_a sea_n at_o three_o a_o clock_n in_o the_o morning_n and_o at_o three_o in_o the_o after_o noon_n for_o at_o those_o hour_n the_o moon_n go_v with_o the_o sun_n at_o the_o north-east_n and_o at_o the_o south-west_n but_o upon_o other_o day_n of_o the_o moon_n the_o full_a sea_n fall_v out_o at_o the_o same_o hour_n when_o the_o moon_n come_v to_o those_o two_o point_n which_o be_v know_v by_o count_v the_o age_n of_o the_o moon_n the_o three_o rule_n that_o you_o may_v know_v at_o all_o time_n how_o many_o day_n old_a the_o moon_n be_v you_o must_v add_v three_o number_n together_o to_o wit_n the_o concurrent_a and_o the_o month_n from_o the_o begin_n of_o march_n to_o the_o month_n present_a and_o the_o day_n of_o the_o month_n wherein_o you_o will_v know_v this_o and_o if_o the_o whole_a product_n exceed_v not_o thirty_o it_o contain_v just_a the_o day_n of_o the_o moon_n but_o if_o it_o do_v exceed_v thirty_o the_o surplusage_n show_v the_o day_n of_o the_o moon_n age_n the_o four_o rule_n multiply_v the_o day_n of_o the_o moon_n age_n by_o four_o and_o divide_v the_o product_n by_o five_o and_o the_o remainder_n after_o division_n contain_v the_o hour_n whereby_o the_o moon_n come_v more_o slow_o than_o the_o sun_n to_o the_o north-east_n or_o south-west_n or_o to_o that_o rumb_n wherein_o it_o make_v a_o full_a sea_n which_o hour_n shall_v be_v add_v to_o the_o three_o hour_n of_o the_o morning_n and_o then_o you_o have_v the_o hour_n of_o the_o first_o tide_n or_o of_o the_o full_a and_o swell_a sea_n and_o six_o hour_n and_o almost_o a_o quarter_n after_o come_v the_o first_o ebb_n or_o low_a water_n and_o 12_o hour_n and_o â…•_n after_o the_o first_o full_a sea_n come_v the_o second_o tide_n and_o other_o six_o hour_n and_o â…•_n after_o the_o second_o tide_n come_v the_o second_o ebb_n the_o five_o rule_n when_o the_o day_n of_o the_o moon_n age_n be_v less_o than_o fifteen_o we_o may_v make_v by_o they_o our_o account_n for_o the_o tide_n but_o if_o they_o exceed_v fifteen_o we_o must_v make_v our_o account_n by_o the_o surplusage_n a_o example_n of_o the_o say_a rule_n upon_o the_o 29_o of_o july_n 1588._o i_o desire_v to_o know_v the_o hour_n of_o the_o full_a sea_n and_o of_o the_o ebb_n to_o make_v choice_n of_o that_o which_o may_v seem_v most_o expedient_a for_o my_o voyage_n by_o the_o forme_a example_n i_o find_v that_o the_o golden_a number_n of_o this_o year_n be_v 12_o and_o the_o concurrent_a 2_o according_a to_o the_o correction_n of_o the_o year_n by_o pope_n gregory_n the_o 13._o then_o i_o add_v this_o number_n of_o 2_o to_o the_o number_n of_o 5_o month_n which_o have_v pass_v from_o the_o begin_n of_o march_n and_o the_o 29_o day_n of_o the_o month_n of_o july_n all_o which_o 3_o number_n make_v 36_o then_o i_o cast_v away_o 30_o and_o there_o remain_v six_o day_n for_o the_o age_n of_o the_o moon_n and_o because_o they_o exceed_v not_o fifteen_o i_o multiply_v they_o by_o â…˜_n of_o a_o hour_n according_a to_o the_o four_o rule_n and_o they_o may_v make_v 24_o
25_o day_n i_o may_v notwithstanding_o find_v the_o time_n of_o the_o sun_n entrance_n into_o the_o midst_n of_o taurus_n by_o the_o observation_n of_o the_o 24_o and_o 26_o day_n after_o this_o manner_n subtract_v 14_o degr_n 9_o min._n 40_o sec._n of_o taurus_n out_o of_o 16_o degr_n 3_o min._n 42_o sec._n of_o taurus_n the_o remainder_n will_v be_v one_o degr_n 54_o min._n 2_o sec._n that_o be_v the_o motion_n of_o the_o sun_n for_o two_o day_n between_o the_o 24_o and_o 26_o day_n at_o noon_n therefore_o as_o 1_o degr_n 54_o min._n be_v to_o 48_o hour_n so_o be_v 50_o min._n 20_o sec._n that_o be_v the_o difference_n of_o the_o place_n of_o the_o sun_n the_o 24_o day_n from_o the_o midst_n of_o taurus_n find_v out_o as_o before_o to_o 21_o hour_n and_o 12._o min._n almost_o so_o as_o hereby_o it_o seem_v the_o sun_n shall_v enter_v into_o the_o midst_n of_o taurus_n the_o 25_o day_n about_o two_o hour_n and_o 48_o minute_n before_o noon_n that_o be_v at_o nine_o of_o the_o clock_n and_o 12_o minute_n but_o if_o it_o so_o fall_v out_o that_o you_o do_v not_o or_o can_v observe_v both_o before_o and_o after_o the_o time_n of_o the_o sun_n come_v to_o the_o point_n desire_v as_o suppose_v i_o can_v not_o have_v observe_v the_o 24_o day_n but_o only_o the_o 25_o and_o 26_o day_n in_o both_o which_o day_n the_o sun_n be_v go_v past_o the_o point_n desire_v notwithstanding_o you_o may_v obtain_v your_o desire_n thus_o subtract_v 15_o degr_n 5_o min._n 20_o sec_fw-la taurus_n the_o place_n of_o the_o sun_n the_o 25_o day_n out_o of_o 16_o degr_n 3_o min._n 42_o sec._n taurus_n the_o place_n of_o the_o sun_n the_o 26_o day_n there_o will_v remain_v 58_o min._n 22_o sec._n the_o diurn_n motion_n of_o the_o sun_n between_o the_o noon-tide_n of_o the_o 25_o and_o 26_o day_n now_o because_o that_o on_o the_o 25_o day_n at_o noon_n the_o sun_n be_v go_v 5_o min._n 20_o sec._n past_o the_o point_n desire_v therefore_o as_o 58._o min._n 20_o sec._n be_v to_o 24_o hour_n so_o be_v 5_o min._n 20_o sec._n to_o 2_o hour_n 12_o min._n almost_o by_o this_o account_n then_o the_o sun_n shall_v enter_v into_o the_o midst_n of_o taurus_n the_o 25_o day_n 2_o hour_n and_o about_o 12_o min._n before_o noon_n that_o be_v at_o nine_o of_o the_o clock_n and_o 48_o minute_n neither_o ought_v that_o small_a difference_n that_o appear_v between_o these_o account_n to_o be_v great_o regard_v which_o amount_v not_o to_o so_o much_o as_o half_a a_o hour_n in_o which_o time_n the_o motion_n of_o the_o sun_n be_v little_a above_o a_o minute_n and_o the_o declination_n of_o the_o sun_n in_o that_o part_n of_o the_o zodiac_n can_v alter_v so_o much_o as_o â…“_n of_o a_o minute_n which_o be_v so_o small_a as_o can_v by_o sense_n very_o hardly_o be_v observe_v or_o discern_v neither_o yet_o ought_v that_o little_a difference_n of_o a_o minute_n or_o two_o that_o appear_v between_o the_o diurn_n motion_n of_o the_o sun_n find_v by_o observation_n great_o move_v any_o man_n in_o that_o by_o the_o first_o and_o second_o observation_n the_o diurn_n motion_n shall_v be_v almost_o 56_o min._n by_o the_o first_o and_o three_o 57_o min._n by_o the_o second_o and_o three_o 58_o min._n and_o more_o the_o great_a of_o which_o difference_n may_v almost_o arise_v by_o err_v but_o one_o half_a minute_n only_o in_o take_v the_o height_n of_o the_o sun_n which_o error_n be_v in_o a_o manner_n altogether_o insensible_a and_o will_v be_v easy_o pardon_v by_o they_o that_o have_v or_o shall_v accustom_v themselves_o to_o make_v the_o like_a observation_n when_o beside_o their_o own_o experience_n they_o shall_v find_v that_o they_o which_o have_v most_o excel_v in_o this_o art_n as_o tycho_n brahe_n de_fw-fr recentiorâ—b_fw-la aetherei_fw-la mundi_fw-la phaenom_fw-la lib_n 2_o cap._n 10._o part_n 1._o copern_n revol_fw-it libr._n 4._o cap._n 21._o and_o ptoleme_a himself_o in_o all_o his_o catalogue_n of_o the_o fix_a star_n almage_a lib._n 7._o cap._n 5._o when_o they_o shall_v find_v i_o say_v that_o even_o these_o prince_n in_o astronomy_n so_o great_o exercise_v in_o observation_n have_v account_v a_o whole_a minute_n or_o two_o hardly_o sensible_a ptoleme_a also_o in_o his_o almage_a content_v himself_o for_o the_o most_o part_n to_o have_v set_v down_o the_o place_n of_o the_o fix_a star_n to_o six_o part_n of_o degree_n and_o very_o seldom_o come_v to_o twelve_o part_n think_v it_o sufficient_a as_o it_o may_v seem_v by_o the_o perpetual_a course_n of_o that_o catalogue_n to_o come_v within_o five_o or_o ten_o minute_n of_o the_o truth_n but_o to_o return_v again_o to_o that_o from_o whence_o we_o have_v a_o little_a digress_v after_o this_o manner_n now_o show_v we_o find_v the_o time_n of_o the_o sun_n entrance_n into_o the_o beginning_n of_o ♈_o and_o ♎_o and_o into_o the_o midst_n of_o ♉_o ♌_o â™_o and_o â™’_o as_o into_o place_n serve_v most_o fit_o for_o find_v out_o of_o the_o sun_n eccentricitie_n and_o apogeum_n follow_v also_o herein_o the_o example_n of_o copernicus_n lib._n 3._o cap._n 16._o revol_fw-it who_o well_o perceive_v how_o hard_o yea_o rather_o impossible_a a_o thing_n it_o be_v to_o find_v by_o observation_n the_o time_n of_o the_o sun_n entrance_n into_o the_o solstitial_a point_n where_o the_o meridian_n altitude_n and_o declination_n of_o the_o sun_n continue_v almost_o the_o same_o without_o any_o sensible_a difference_n for_o two_o or_o three_o day_n together_o choose_v rather_o the_o part_n of_o the_o zodiac_n already_o mention_v where_o the_o place_n of_o the_o sun_n may_v more_o true_o be_v know_v by_o reason_n of_o the_o quick_a alter_n of_o his_o declination_n the_o difference_n thereof_o in_o the_o space_n of_o 24_o hour_n amount_v to_o more_o than_o 17_o min._n the_o time_n therefore_o of_o the_o sun_n come_v to_o the_o foresay_a point_n in_o the_o year_n 1594_o 1595_o 1596_o 1597._o we_o find_v to_o be_v such_o as_o be_v set_v down_o in_o the_o table_n follow_v  _fw-fr 1594_o 1595_o 1596_o 1597_o  _fw-fr  _fw-fr  _fw-fr da._n ho._n mi._n da._n ho._n mi._n da._n ho._n mi._n da._n ho._n mi._n sig._n de._n jan._n  _fw-fr  _fw-fr  _fw-fr 24_o 17_o 35_o 25_o 0_o 7_o 24_o 5_o 54_o â™’_o 15_o mar._n  _fw-fr  _fw-fr  _fw-fr 10_o 13_o 26_o 9_o 18_o 43_o 10_o 0_o 37_o ♈_o 0_o april_n  _fw-fr  _fw-fr  _fw-fr 25_o 16_o 50_o 24_o 21_o 47_o 25_o 3_o 54_o ♉_o 15_o july_n 28_o 15_o 35_o 28_o 20_o 4_o 28_o 1_o 43_o 28_o 9_o 56_o ♌_o 15_o sept._n 13_o 2_o 45_o 13_o 7_o 39_o 12_o 13_o 48_o 12_o 19_o 15_o ♎_o 0_o octob._n 28_o 5_o 46_o 28_o 9_o 36_o 27_o 15_o 23_o 272_o 1_o 50_o â™_o 15_o hereby_o the_o time_n of_o the_o sun_n continuance_n in_o the_o ark_n of_o the_o zodiac_n betwixt_o those_o point_n as_o also_o the_o ark_n of_o the_o eccentrick_a answerable_a to_o those_o time_n be_v more_o easy_o find_v then_o that_o it_o shall_v now_o be_v needful_a for_o i_o to_o be_v further_a tedious_a in_o set_v down_o the_o manner_n of_o find_v the_o same_o wherein_o notwithstanding_o there_o may_v some_o difference_n of_o a_o hour_n or_o two_o sometime_o appear_v by_o compare_v together_o those_o time_n in_o several_a year_n yet_o this_o error_n be_v such_o as_o may_v arise_v by_o miss_v little_a more_o than_o one_o minute_n in_o one_o observation_n or_o little_o more_o than_o half_a a_o minute_n in_o two_o observation_n of_o the_o meridian_n altitude_n of_o the_o sun_n one_o observation_n be_v make_v when_o the_o sun_n be_v about_o the_o begin_n of_o the_o ark_n the_o other_o when_o he_o be_v about_o the_o end_n thereof_o i_o make_v no_o doubt_n but_o that_o it_o will_v at_o the_o least_o be_v favourable_o censure_v by_o they_o that_o have_v acquaint_v themselves_o with_o some_o practice_n of_o observe_v wherein_o he_o shall_v in_o my_o opinion_n quit_v himself_o meet_o well_o who_o neither_o through_o imperfection_n of_o sense_n either_o in_o make_v or_o divide_v or_o in_o rectify_v or_o in_o use_v his_o instrument_n and_o every_o part_n thereof_o nor_o through_o the_o difficulty_n of_o note_v precise_o the_o edge_n of_o the_o shadow_n of_o the_o upper_a sight_n fall_v upon_o the_o nether_a the_o limit_n or_o bound_n of_o which_o shadow_n be_v but_o a_o confuse_a mixture_n as_o it_o be_v of_o light_n and_o darkness_n or_o else_o a_o mean_a equal_o compound_v of_o they_o both_o which_o can_v no_o better_o be_v discern_v then_o by_o guess_v nor_o yet_o by_o rrefraction_n of_o the_o sun_n beam_n through_o the_o thickness_n of_o the_o air_n especial_o when_o the_o sun_n be_v in_o the_o southerly_a semicircle_n of_o the_o zodiac_n which_o refraction_n admit_v some_o alteration_n according_a to_o the_o diversity_n
35_o second_n the_o difference_n of_o the_o declination_n in_o 24_o hour_n at_o that_o time_n 22_o minute_n 13_o seconds_z now_o as_o 360_o be_v to_o 22_o minute_n 13_o second_o so_o be_v 90_o degree_n to_o 5_o minute_n 33_o second_n the_o part_n proportional_a or_o equation_n desire_v which_o because_o the_o declination_n increase_v and_o the_o bay_n of_o mexico_n be_v also_o westward_o from_o the_o meridian_n of_o london_n must_v be_v add_v to_o the_o declination_n before_o find_v in_o the_o table_n and_o so_o shall_v you_o have_v the_o true_a declination_n of_o the_o sun_n that_o day_n at_o noon_n for_o that_o place_n 7_o degr_n 45_o min._n 8_o sec._n but_o admit_v you_o have_v sail_v eastward_n and_o be_v in_o the_o east_n indian_a ocean_n sea_n differ_v likewise_o in_o longitude_n from_o london_n about_o 90_o deg_n therefore_o the_o difference_n of_o declination_n and_o the_o part_n proportional_a thereof_o or_o equation_n of_o the_o declination_n shall_v be_v the_o same_o they_o 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at_o noon_n for_o that_o place_n but_o this_o declination_n be_v southerly_a because_o the_o quotient_a 14_o min._n be_v great_a than_o 10_o min._n 2_o sec._n the_o declination_n find_v in_o the_o table_n it_o will_v be_v at_o this_o time_n too_o tedious_a for_o i_o further_o to_o exemplify_v every_o particularity_n specify_v in_o the_o former_a rule_n which_o may_v cause_v some_o small_a diversity_n in_o the_o use_n of_o the_o sun_n declination_n have_v already_o give_v example_n of_o the_o hard_a case_n that_o may_v befall_v herein_o which_o if_o they_o be_v well_o consider_v and_o especial_o compare_v with_o the_o globe_n or_o sphere_n wherein_o the_o whole_a manner_n of_o the_o sun_n motion_n and_o declination_n may_v most_o easy_o not_o only_o be_v see_v but_o also_o feel_v as_o it_o be_v with_o the_o finger_n end_n the_o reason_n and_o demonstration_n of_o all_o those_o rule_n and_o of_o all_o the_o diversity_n of_o work_v therein_o specify_v may_v most_o plain_o appear_v to_o he_o that_o be_v but_o of_o a_o mean_a capacity_n chap._n xxix_o the_o declination_n of_o the_o principal_a fix_a star_n about_o the_o equinoctial_a correct_v by_o observation_n but_o because_o the_o declination_n of_o the_o sun_n be_v then_o only_o of_o good_a use_n for_o know_v the_o latitude_n at_o sea_n when_o his_o meridian_n altitude_n may_v be_v observe_v so_o as_o although_o all_o the_o rest_n of_o the_o day_n and_o night_n be_v fair_a and_o clear_a if_o a_o cloud_n cover_v the_o sun_n but_o one_o quarter_n of_o a_o hour_n only_o about_o noon_n your_o table_n of_o the_o sun_n declination_n will_v stand_v you_o in_o no_o stead_n there_o have_v be_v therefore_o other_o mean_n divise_v for_o attain_v to_o the_o knowledge_n of_o the_o height_n of_o the_o pole_n not_o only_o in_o particular_a by_o observation_n of_o the_o polestar_n and_o guard_n but_o also_o in_o general_a by_o the_o meridian_n altitude_n and_o declination_n of_o any_o notable_a fix_a star_n whatsoever_o so_o as_o not_o in_o the_o day_n time_n alone_o and_o that_o only_a at_o noon_n but_o almost_o at_o any_o time_n of_o the_o night_n if_o any_o small_a portion_n of_o the_o heaven_n towards_o the_o north_n or_o south_n appear_v but_o a_o small_a time_n clear_a through_o the_o rake_n cloud_n the_o latitude_n of_o the_o place_n where_o you_o be_v may_v hereby_o be_v more_o easy_o know_v then_o by_o observation_n of_o the_o sun_n meridian_n altitude_n for_o to_o omit_v the_o change_n of_o the_o sun_n declination_n from_o north_n to_o south_n and_o from_o south_n to_o north_n twice_o in_o every_o year_n which_o notwithstanding_o breed_v some_o diversity_n of_o work_v by_o neglect_n whereof_o some_o have_v grosâ—y_o err_v the_o sun_n by_o reason_n of_o his_o swiftness_n of_o motion_n increase_v or_o diminish_v his_o declination_n daily_o yea_o hourly_o and_o that_o very_o sensible_o many_o time_n whereof_o there_o must_v needs_o arise_v many_o several_a consideration_n to_o be_v have_v of_o the_o right_a use_n and_o application_n of_o the_o sun_n declination_n find_v in_o the_o table_n as_o well_o in_o respect_n of_o the_o part_n of_o declination_n whether_o it_o be_v north_n or_o south_n as_o also_o in_o regard_n of_o the_o difference_n of_o longitude_n between_o the_o place_n for_o which_o the_o table_n of_o the_o sun_n declination_n be_v make_v and_o the_o place_n of_o observation_n whether_o it_o be_v easterly_a or_o westerly_a from_o thence_o beside_o many_o other_o particularity_n late_o relate_v and_o needless_a here_o to_o be_v repeat_v but_o the_o fix_a star_n move_a so_o exceed_o slow_o that_o in_o more_o than_o 70_o year_n they_o go_v not_o so_o much_o as_o one_o degree_n in_o there_o proper_a motion_n from_o the_o west_n eastward_n keep_v not_o only_o the_o same_o part_n of_o the_o north_n or_o south_n but_o almost_o the_o same_o point_n and_o minute_n of_o declination_n for_o many_o year_n together_o i_o mean_v those_o star_n especial_o that_o be_v place_v in_o the_o sign_n of_o gemini_fw-la cancer_n sagittarie_n or_o capricorn_n near_o the_o solstitial_a colour_n which_o in_o a_o hundred_o year_n or_o two_o can_v alter_v their_o declination_n scarce_o one_o minute_n whereas_o those_o star_n that_o be_v in_o pisces_fw-la aries_n virgo_fw-la or_o libra_n especial_o if_o they_o be_v near_o the_o equinoctial_a colour_n may_v differ_v in_o there_o declination_n about_o one_o minute_n in_o 3_o year_n which_o difference_n though_o it_o be_v something_o yet_o for_o a_o dozen_o or_o twenty_o year_n will_v hardly_o be_v so_o much_o as_o can_v at_o sea_n be_v observe_v by_o any_o instrument_n hitherto_o have_v in_o use_n there_o for_o these_o two_o cause_n therefore_o that_o be_v for_o the_o more_o easy_a and_o general_a use_n of_o the_o declination_n of_o the_o fix_a star_n then_o of_o the_o sun_n i_o wish_v they_o be_v more_o general_o know_v and_o observe_v by_o our_o seaman_n then_o they_o be_v as_o whereby_o they_o may_v not_o only_o most_o easy_o know_v the_o elevation_n of_o the_o pole_n at_o any_o time_n of_o the_o night_n but_o also_o in_o any_o place_n of_o the_o world_n much_o more_o commodious_o than_o otherwise_o they_o can_v because_o that_o in_o what_o latitude_n and_o how_o far_o soever_o they_o shall_v come_v either_o northwards_o or_o southwards_o they_o may_v always_o have_v their_o choice_n of_o divers_a fix_a star_n near_o the_o meridian_n both_o towards_o the_o north_n and_o south_n of_o a_o convenient_a height_n to_o be_v observe_v but_o herewith_o it_o be_v also_o to_o be_v wish_v that_o the_o table_n of_o the_o fix_a star_n declination_n which_o be_v most_o common_a among_o english_a mariner_n have_v be_v more_o free_a from_o error_n than_o they_o be_v i_o mean_v especial_o the_o table_n publish_v in_o bourn_n regiment_n and_o norman_n new_a attractive_a which_o table_n agree_v almost_o in_o
with_o the_o regiment_n of_o the_o sun_n and_o of_o the_o star_n the_o rule_n of_o the_o moon_n and_o of_o the_o tide_n the_o declaration_n of_o the_o sea-chart_n and_o other_o thing_n appertain_v hereunto_o chap._n i._n the_o definition_n of_o the_o sphere_n a_o sphere_n be_v a_o solid_a or_o massy_a body_n without_o hollowness_n and_o perfect_o round_a in_o the_o midst_n whereof_o there_o be_v a_o prick_n call_v the_o centre_n by_o which_o there_o pass_v a_o right_a line_n name_v the_o axtree_n and_o the_o point_n where_o this_o line_n end_v upon_o the_o superficies_n of_o the_o whole_a body_n be_v call_v pole_n because_o upon_o they_o the_o sphere_n be_v move_v chap._n ii_o that_o the_o whole_a world_n be_v a_o sphere_n and_o so_o it_o be_v evident_a that_o the_o whole_a frame_n of_o the_o world_n wherein_o we_o live_v be_v a_o sphere_n be_v as_o it_o be_v solid_a so_o that_o in_o the_o whole_a world_n there_o be_v no_o empty_a place_n also_o it_o be_v perfect_o round_a upon_o the_o upper_a superficies_n of_o the_o high_a heaven_n and_o it_o have_v in_o the_o very_a midst_n a_o certain_a point_n to_o wit_n the_o centre_n of_o the_o earth_n by_o which_o we_o do_v imagine_v a_o right_a line_n or_o axtree_n to_o pass_v from_o one_o pole_n to_o another_o upon_o which_o the_o world_n be_v move_v about_o from_o east_n to_o west_n chap._n iii_o of_o the_o division_n of_o the_o sphere_n the_o whole_a sphere_n of_o the_o world_n be_v divide_v into_o two_o part_n or_o region_n the_o elementary_a and_o celestial_a the_o elementary_a part_n or_o region_n have_v four_o part_n the_o first_o whereof_o be_v the_o earth_n which_o together_o with_o the_o element_n of_o water_n which_o be_v the_o second_o make_v one_o perfect_a globe_n and_o round_o about_o both_o these_o be_v two_o other_o element_n namely_o the_o air_n and_o above_o that_o the_o fire_n which_o fill_v the_o space_n between_o the_o air_n and_o the_o sphere_n of_o the_o moon_n of_o which_o element_n by_o virtue_n of_o the_o heat_n of_o the_o heaven_n be_v make_v and_o compound_v all_o corruptible_a thing_n in_o the_o world_n the_o celestial_a region_n consist_v of_o other_o ten_o part_n the_o first_o whereof_o be_v the_o sphere_n of_o the_o moon_n the_o second_o the_o sphere_n of_o mercury_n the_o three_o of_o venus_n the_o four_o be_v the_o sphere_n of_o the_o sun_n the_o five_o of_o mars_n the_o six_o of_o jupiter_n the_o seven_o of_o saturn_n the_o eight_o be_v the_o sphere_n of_o the_o fix_a star_n which_o be_v call_v the_o firmament_n the_o nine_o be_v the_o crystalline_a heaven_n and_o last_o the_o ten_o and_o high_a be_v the_o sphere_n call_v the_o primum_fw-la mobile_a that_o be_v the_o first_o or_o high_a movable_a heaven_n that_o which_o remain_v call_v the_o empyreal_a heaven_n because_o it_o have_v no_o motion_n come_v not_o to_o be_v consider_v on_o in_o the_o art_n of_o navigation_n a_o figure_n wherein_o may_v be_v see_v the_o composition_n of_o the_o whole_a sphere_n of_o the_o world_n chap._n iu._n of_o the_o motion_n of_o the_o heaven_n the_o number_n of_o the_o heaven_n be_v know_v by_o the_o motion_n observe_v in_o they_o which_o be_v ten_o distinct_a one_o from_o another_o for_o the_o moon_n move_v her_o proper_a and_o peculiar_a motion_n in_o 27_o day_n and_o 8_o hour_n which_o be_v one_o revolution_n mercury_n venus_n and_o the_o sun_n finish_v their_o motion_n in_o one_o year_n which_o contain_v 365_o day_n and_o almost_o a_o quarter_n of_o a_o day_n mars_n run_v his_o course_n in_o two_o year_n jupiter_n in_o twelve_o year_n saturn_n in_o thirty_o year_n the_o eight_o sphere_n according_a to_o the_o opinion_n of_o some_o in_o seven_o thousand_o year_n the_o nine_o in_o five_o and_o twenty_o thousand_o and_o eight_o hundred_o year_n and_o the_o ten_o in_o four_o and_o twenty_o hour_n almost_o which_o ten_o motion_n be_v reduce_v unto_o three_o principal_a the_o first_o be_v that_o of_o the_o first_o movable_a upon_o the_o two_o end_n of_o the_o axletree_n which_o be_v call_v the_o pole_n of_o the_o world_n from_o east_n to_o west_n turn_v about_o again_o unto_o the_o east_n in_o 24_o hour_n and_o this_o sphere_n by_o the_o force_n of_o his_o motion_n carry_v about_o with_o it_o all_o the_o other_o low_a sphere_n in_o the_o space_n of_o 24_o hour_n howbeit_o they_o move_v also_o the_o contrary_a way_n with_o a_o second_o motion_n which_o be_v from_o west_n to_o east_n upon_o two_o other_o pole_n distant_a from_o the_o first_o about_o three_o and_o twenty_o and_o a_o half_a such_o part_n whereof_o the_o whole_a compass_n of_o heaven_n contain_v three_o hundred_o and_o sixty_o and_o this_o second_o motion_n be_v accomplish_v in_o each_o of_o the_o low_a heaven_n in_o divers_a space_n of_o time_n as_o be_v before_o say_v the_o three_o motion_n be_v proper_a to_o the_o eight_o heaven_n wherein_o the_o fix_a star_n be_v place_v which_o motion_n be_v the_o cause_n that_o the_o distance_n of_o the_o pole_n of_o the_o first_o motion_n from_o they_o of_o the_o second_o motion_n do_v vary_v be_v sometime_o great_a and_o sometime_o less_o chap._n v._o of_o the_o figure_n of_o the_o heaven_n that_o the_o heaven_n be_v round_o it_o be_v prove_v because_o roundness_n be_v the_o most_o perfect_a figure_n of_o all_o other_o be_v whole_a and_o entire_a have_v no_o need_n of_o any_o joint_n be_v also_o of_o the_o great_a capacity_n of_o all_o figure_n that_o have_v the_o same_o compass_n and_o in_o that_o respect_n most_o fit_a to_o contain_v all_o other_o thing_n also_o the_o principal_a body_n of_o the_o world_n as_o the_o sun_n the_o moon_n and_o the_o star_n be_v of_o this_o figure_n and_o we_o see_v the_o same_o likewise_o in_o those_o thing_n which_o be_v bound_v by_o themselves_o as_o it_o be_v manifest_a in_o drop_n of_o water_n and_o all_o other_o liquid_a thing_n chap._n vi_o that_o the_o earth_n and_o water_n make_v one_o perfect_a globe_n there_o be_v nothing_o that_o show_v more_o clear_o that_o the_o earth_n and_o water_n make_v one_o round_a globe_n than_o the_o shadow_n which_o they_o make_v in_o the_o eclipse_n of_o the_o moon_n which_o shadow_n we_o always_o see_v to_o be_v a_o part_n of_o a_o circle_n for_o if_o the_o body_n which_o be_v the_o cause_n of_o the_o same_o shadow_n be_v threesquare_a or_o foursquare_a the_o shadow_n itself_o also_o will_v appear_v in_o the_o same_o fashion_n wherefore_o the_o shadow_n of_o these_o two_o body_n together_o be_v round_o it_o be_v manifest_a that_o they_o be_v round_o also_o chap._n vii_o that_o the_o earth_n be_v in_o the_o centre_n of_o the_o world_n one_o sign_n we_o have_v to_o be_v assure_v that_o the_o earth_n be_v in_o the_o midst_n and_o centre_n of_o the_o world_n namely_o that_o wheresoever_o we_o be_v upon_o the_o face_n of_o the_o earth_n we_o always_o see_v one_o half_a of_o the_o heaven_n the_o other_o half_o be_v hide_v out_o of_o our_o sight_n moreover_o the_o star_n in_o what_o part_n of_o the_o heaven_n soever_o they_o be_v either_o in_o the_o east_n west_n or_o south_n we_o see_v that_o they_o be_v always_o of_o the_o very_a same_o bigness_n whereby_o we_o may_v easy_o perceive_v that_o they_o be_v always_o equal_o distant_a from_o our_o sight_n and_o whereas_o they_o move_v round_o about_o it_o it_o follow_v that_o we_o be_v upon_o the_o centre_n of_o that_o body_n on_o who_o superficies_n the_o say_a star_n describe_v their_o circle_n chap._n viii_o the_o whole_a quantity_n of_o the_o earth_n and_o albeit_o the_o globe_n of_o the_o earth_n and_o water_n compare_v with_o the_o sphere_n of_o the_o star_n be_v as_o it_o be_v a_o centre_n or_o prick_n yet_o be_v consider_v by_o itself_o it_o contain_v in_o the_o great_a circle_n thereof_o 6300_o common_a spanish_a league_n which_o a_o man_n may_v easy_o perceive_v by_o take_v two_o such_o point_n or_o headland_n of_o the_o earth_n as_o be_v under_o the_o same_o meridian_n and_o which_o differ_v in_o distance_n one_o from_o another_o so_o much_o as_o one_o of_o those_o part_n be_v whereof_o the_o compass_n of_o the_o whole_a world_n contain_v 360_o and_o it_o be_v find_v both_o by_o navigation_n at_o sea_n and_o also_o by_o travel_n on_o land_n that_o the_o two_o foresay_a point_n be_v distant_a each_o from_o other_o 17_o league_n and_o a_o half_a of_o which_o league_n each_o one_o contain_v 4000_o pace_n every_o pace_n 5_o foot_n every_o foot_n 16_o finger_n and_o every_o finger_n 4_o grain_n of_o barley_n chap._n ix_o of_o the_o equinoctial_a circle_n be_v to_o treat_v of_o the_o circle_n of_o the_o sphere_n of_o the_o world_n the_o first_o which_o offer_v itself_o to_o be_v speak_v of_o be_v the_o equinoctial_a circle_n by_o mean_n whereof_o we_o do_v know_v in_o
rule_n of_o the_o declination_n of_o the_o sun_n we_o be_v to_o note_v that_o the_o year_n which_o be_v the_o time_n of_o the_o sun_n motion_n from_o any_o point_n of_o the_o ecliptic_a till_o he_o return_v again_o to_o the_o same_o point_n consist_v not_o always_o of_o a_o equal_a number_n of_o day_n for_o beside_o 365_o day_n it_o contain_v almost_o one_o quarter_n of_o a_o day_n but_o the_o year_n which_o we_o common_o account_n contain_v 365_o day_n in_o common_a year_n and_o in_o leap_v year_n 366._o it_o be_v therefore_o needful_a to_o make_v four_o table_n of_o twelve_o month_n apiece_o whereof_o the_o three_o first_o contain_v 365_o day_n and_o the_o four_o 366_o and_o in_o such_o sort_n to_o distribute_v the_o declination_n of_o the_o sun_n among_o they_o that_o you_o may_v make_v account_n of_o the_o declination_n which_o be_v want_v to_o the_o sun_n at_o the_o end_n of_o 365_o day_n for_o lack_v of_o those_o six_o hour_n almost_o which_o the_o sun_n want_v to_o come_v unto_o the_o point_n from_o which_o it_o depart_v at_o the_o begin_n of_o the_o year_n and_o also_o of_o the_o declination_n which_o result_v in_o the_o four_o year_n because_o it_o consist_v of_o 366_o day_n at_o what_o time_n it_o come_v to_o recover_v that_o which_o in_o the_o three_o former_a year_n it_o have_v lose_v therefore_o to_o know_v at_o all_o time_n which_o of_o the_o four_o table_n we_o ought_v to_o make_v use_n of_o i_o will_v set_v down_o a_o rule_n whereby_o you_o may_v know_v whether_o the_o present_a year_n be_v leap_v year_n or_o whether_o it_o be_v the_o first_o second_o or_o three_o year_n after_o the_o leap_n year_n and_o the_o rule_n be_v this_o that_o take_v from_o the_o year_n of_o our_o lord_n which_o run_v in_o our_o common_a account_n the_o number_n of_o 1600_o if_o the_o remainder_n thereof_o be_v a_o even_a number_n and_o half_a of_o the_o remainder_n and_o even_a number_n than_o that_o year_n be_v leap_v year_n and_o if_o the_o remainder_n be_v even_o and_o the_o half_a thereof_o odd_a than_o that_o year_n be_v the_o second_o year_n after_o the_o leap_n year_n but_o if_o the_o remainder_n of_o the_o year_n number_v be_v odd_a we_o must_v try_v the_o year_n next_o go_v before_o to_o see_v whether_o the_o remainder_n thereof_o and_o half_o the_o remainder_n be_v even_a number_n for_o then_o the_o present_a year_n be_v the_o first_o after_o the_o leap_n year_n and_o if_o the_o remainder_n of_o the_o year_n go_v before_o be_v even_o and_o the_o half_a thereof_o odd_a than_o the_o present_a year_n be_v the_o three_o year_n after_o the_o leap_n year_n how_o the_o declination_n of_o the_o sun_n may_v be_v find_v out_o now_o to_o know_v the_o sun_n declination_n every_o day_n we_o must_v look_v in_o that_o table_n which_o answer_v to_o the_o present_a year_n and_o seek_v the_o month_n in_o the_o upper_a part_n of_o the_o page_n and_o the_o day_n of_o the_o month_n wherein_o we_o will_v know_v the_o declination_n in_o the_o column_n which_o defend_v towards_o the_o left_a hand_n right_o over_o against_o the_o say_a day_n and_o under_o the_o title_n of_o our_o month_n we_o shall_v find_v two_o number_n one_o of_o degree_n and_o the_o other_o of_o minute_n which_o be_v the_o declination_n of_o the_o sun_n that_o day_n towards_o that_o part_n of_o the_o world_n which_o the_o first_o rule_n of_o the_o sun_n do_v teach_v chap._n vi_o the_o equation_n of_o the_o sun_n declination_n they_o which_o sail_n in_o the_o month_n of_o june_n and_o december_n need_v not_o much_o to_o make_v any_o equation_n in_o the_o table_n of_o the_o sun_n declination_n because_o that_o in_o those_o month_n the_o declination_n of_o one_o day_n differ_v very_o little_a from_o the_o declination_n of_o another_o but_o at_o all_o other_o time_n of_o the_o year_n we_o ought_v to_o make_v some_o kind_n of_o equation_n to_o know_v precise_o our_o height_n or_o our_o distance_n from_o the_o equinoctial_a this_o equation_n be_v to_o be_v make_v after_o this_o manner_n you_o must_v subtract_v the_o declination_n of_o the_o sun_n for_o the_o present_a day_n from_o the_o declination_n of_o the_o day_n follow_v or_o contrariwise_o subtract_v always_o the_o less_o out_o oâ—_n the_o great_a and_o the_o difference_n or_o remainder_n shall_v be_v multiply_v by_o the_o league_n which_o our_o ship_n have_v sail_v from_o the_o meridian_n of_o london_n and_o the_o product_n of_o the_o multiplication_n must_v be_v divide_v by_o desire_v 7200_o league_n which_o be_v contain_v in_o the_o compass_n of_o the_o whole_a earth_n then_o if_o you_o have_v sail_v westward_o the_o quotient_n must_v be_v add_v to_o the_o declination_n of_o the_o sun_n that_o day_n if_o it_o be_v from_o the_o 11_o of_o march_n to_o the_o 12_o of_o june_n or_o from_o the_o 13_o of_o september_n to_o the_o 12_o of_o december_n or_o it_o must_v if_o the_o ship_n also_o have_v sail_v westward_o be_v subtract_v if_o you_o find_v it_o in_o any_o other_o time_n of_o the_o year_n except_o in_o the_o day_n of_o the_o equinoctium_n for_o then_o this_o difference_n be_v know_v by_o take_v the_o declination_n of_o the_o present_a day_n with_o that_o of_o the_o day_n follow_v but_o if_o you_o be_v to_o the_o eastward_o from_o the_o meridian_n of_o london_n you_o must_v do_v contrariwise_o subtract_v the_o say_a squation_n where_o before_o you_o add_v it_o in_o stead_n of_o the_o table_n of_o the_o sun_n declination_n here_o insert_v by_o roderigo_n samorano_n use_v the_o table_n before_o set_v down_o from_o the_o 174_o page_n to_o the_o 180_o page_n chap._n vii_o four_o example_n for_o the_o plain_a declaration_n of_o that_o which_o be_v say_v before_o a_o example_n of_o the_o second_o rule_n in_o the_o year_n 1608_o the_o 15_o of_o april_n suppose_v i_o be_v sail_v and_o take_v the_o height_n of_o the_o sun_n with_o my_o astrolabe_n at_o noon_n and_o find_v the_o height_n thereof_o to_o be_v just_a 90_o degree_n first_o therefore_o i_o take_v from_o 1608._o the_o number_n of_o 1600._o and_o their_z remain_z 8_o whicâ—_n remainder_n be_v a_o even_a number_n and_o four_o the_o half_a thereof_o be_v even_o also_o i_o say_v the_o year_n 1608_o be_v the_o leap_v year_n and_o so_o i_o go_v unto_o the_o four_o year_n in_o the_o table_n of_o the_o sun_n declination_n which_o be_v leap_v year_n and_o under_o the_o month_n of_o april_n over_o against_o the_o 15_o day_n i_o find_v 13_o degree_n and_o 25_o minute_n 41_o second_o i_o say_v therefore_o that_o i_o be_o distant_a from_o the_o equinoctial_a towards_o the_o north_n 13_o degree_n and_o 26_o minute_n almost_o because_o it_o be_v between_o the_o 11_o of_o march_n and_o the_o 13_o of_o september_n in_o which_o space_n fall_v the_o 15_o day_n of_o april_n the_o second_o example_n of_o the_o three_o rule_n in_o the_o year_n 1602_o upon_o the_o 13_o day_n of_o september_n admit_v i_o take_v the_o height_n of_o the_o sun_n and_o find_v it_o in_o my_o astrolabe_n to_o be_v 70_o degree_n and_o a_o half_a and_o that_o in_o the_o table_n of_o declination_n belong_v to_o the_o same_o year_n upon_o the_o foresay_a day_n of_o september_n i_o find_v that_o the_o sun_n have_v no_o declination_n but_o that_o it_o be_v under_o the_o very_a equinoctial_a line_n now_o because_o the_o degree_n of_o the_o height_n which_o the_o sun_n want_v of_o 90_o be_v 19_o and_o a_o half_a i_o say_v that_o i_o be_o so_o much_o distant_a from_o the_o equinoctial_a towards_o that_o part_n of_o the_o world_n unto_o which_o the_o shadow_n fall_v example_n of_o the_o four_o rule_n upon_o the_o 13_o of_o may_n 1609_o suppose_v i_o take_v the_o height_n of_o the_o sun_n at_o noon_n in_o my_o astrolabe_n and_o find_v it_o to_o be_v 85_o degree_n and_o three_o quarter_n now_o because_o 1609_o be_v a_o odd_a number_n i_o go_v back_o to_o the_o former_a year_n of_o 1608._o and_o i_o find_v according_a to_o the_o rule_n of_o leap_n year_n that_o the_o year_n 1608_o be_v leap_v year_n and_o hence_o i_o judge_v that_o the_o year_n 1609_o be_v the_o year_n next_o follow_v the_o leap_n year_n then_o i_o go_v to_o the_o table_n of_o declination_n belong_v to_o the_o first_o year_n after_o the_o leap_n year_n and_o under_o the_o month_n of_o may_n against_o the_o 13_o day_n the_o sun_n declination_n be_v find_v to_o be_v 20_o degree_n 41_o minute_n 15_o second_o and_o because_o that_o from_o the_o 11_o of_o march_n to_o the_o 13_o of_o september_n the_o sun_n keep_v his_o course_n to_o the_o northwards_o of_o the_o equinoctial_a have_v mark_v the_o shadow_n at_o midday_n i_o see_v that_o the_o low_a vain_a of_o my_o astrolabe_n look_v to_o the_o north_n of_o the_o compass_n and_o so_o i_o say_v that_o
the_o ruler_n as_o before_o you_o shall_v cut_v the_o line_n bd_o in_o another_o point_n which_o shall_v represent_v eight_o of_o the_o clock_n in_o the_o morning_n and_o four_o in_o the_o afternoon_n and_o account_v high_o fifteen_o degree_n more_o one_o both_o side_n and_o place_v your_o ruler_n upon_o the_o end_n of_o your_o account_n it_o will_v divide_v the_o line_n bd_o at_o another_o point_n which_o shall_v be_v nine_o a_o clock_n in_o the_o morning_n and_o three_o in_o the_o afternoon_n and_o so_o you_o shall_v proceed_v from_o fifteen_o to_o fifteen_o degree_n till_o you_o come_v to_o eleven_o of_o the_o clock_n in_o the_o morning_n and_o one_o in_o the_o afternoon_n and_o if_o you_o will_v have_v the_o half_a hour_n also_o you_o must_v account_v from_o seven_o degree_n and_o a_o half_a to_o seven_o and_o a_o half_a and_o do_v as_o you_o do_v with_o the_o fifteen_o degree_n you_o shall_v have_v the_o half_a hour_n also_o then_o place_v your_o compass_n upon_o the_o centre_n e_o and_o upon_o every_o division_n of_o the_o line_n ebb_v you_o shall_v draw_v the_o same_o division_n likewise_o upon_o the_o line_n ed_z which_o be_v do_v draw_z certain_z obscure_a line_n from_o the_o point_n a_o to_o the_o division_n of_o the_o line_n ebb_v and_o draw_v the_o right_a line_n gf_n see_v where_o gf_n be_v cut_v at_o the_o high_a of_o the_o obscure_a line_n which_o must_v be_v at_o the_o point_n n_o from_o whence_o the_o line_n no_o be_v to_o be_v draw_v equal_o distant_a from_o the_o line_n be._n and_o this_o line_n no_o shall_v be_v divide_v proportional_o by_o the_o obscure_a line_n even_o as_o the_o line_n be._n then_o let_v the_o division_n of_o the_o line_n no_o be_v transfer_v into_o the_o line_n mg_n mi_fw-mi lf_n lh_n and_o then_o the_o tropic_n also_o shall_v be_v divide_v then_o by_o every_o three_o point_n answerable_a in_o the_o equinoctial_a and_o the_o two_o tropic_n you_o shall_v draw_v certain_a part_n of_o circle_n seek_v the_o centre_n of_o those_o three_o point_n in_o the_o equinoctial_a line_n extend_v forth_o on_o either_o side_n and_o these_o part_n of_o circle_n represent_v the_o hour_n then_o make_v a_o account_n of_o the_o degr_n of_o declination_n from_o the_o point_n b_o and_o from_o d_o on_o both_o side_n by_o every_o 2_o degr_n and_o draw_v line_n parallel_v to_o the_o equinoctial_a from_o one_o to_o another_o and_o those_o shall_v be_v the_o parallel_n of_o the_o sun_n declination_n moreover_o you_o shall_v make_v a_o horizon_n as_o large_a as_o the_o diameter_n of_o the_o inner_a circle_n which_o shall_v be_v divide_v after_o this_o manner_n count_n from_o the_o point_n ac_fw-la towards_o b_o five_o degree_n and_o put_v your_o ruler_n upon_o the_o end_n of_o the_o account_n of_o both_o part_n see_v where_o it_o cut_v the_o line_n ebb_n and_o there_o make_v a_o mark_n and_o then_o count_v on_o both_o side_n other_o five_o degree_n and_o put_v the_o ruler_n once_o again_o at_o the_o end_n of_o your_o account_n make_v another_o mark_n where_o it_o cut_v the_o line_n ebb_n and_o so_o the_o line_n ebb_n must_v be_v divide_v from_o five_o to_o five_o degree_n which_o division_n shall_v be_v remove_v into_o the_o say_a horizon_n fasten_v it_o to_o the_o centre_n and_o lay_v it_o to_o the_o line_n bd_o and_o divide_v it_o both_o way_n as_o the_o line_n ebb_n be_v divide_v and_o set_v number_n thereinto_o from_o 5_o to_o 5_o which_o may_v begin_v in_o the_o midst_n and_o end_n with_o 90_o at_o the_o end_n of_o the_o horizon_n and_o let_v every_o one_o of_o these_o part_n be_v divide_v into_o five_o other_o part_n or_o degree_n then_o account_v from_o the_o centre_n e_o in_o the_o horizon_n eleven_o degree_n and_o ¼_n you_o shall_v set_v there_o a_o mark_n which_o shall_v be_v the_o seven_o point_n from_o north_n and_o south_n that_o be_v it_o shall_v represent_v the_o point_n which_o be_v next_o to_o the_o east_n and_o west_n in_o the_o compass_n and_o account_v another_o eleven_o degree_n and_o a_o quarter_n and_o make_v there_o a_o mark_n it_o shall_v represent_v the_o six_o point_n from_o north_n and_o south_n and_o so_o you_o must_v do_v with_o the_o other_o point_n and_o then_o your_o instrument_n be_v finish_v chap._n xxxv_o of_o the_o part_n of_o this_o instrument_n in_o this_o instrument_n the_o first_o thing_n be_v a_o circle_n divide_v into_o 360_o degree_n which_o be_v the_o meridian_n and_o the_o line_n of_o twelve_o a_o clock_n the_o second_o be_v the_o right_a line_n of_o which_o that_o in_o the_o midst_n be_v the_o equinoctial_a and_o the_o two_o other_o be_v the_o tropic_n of_o cancer_n and_o capricorn_n and_o the_o other_o line_n between_o those_o be_v the_o parallel_n of_o the_o sun_n declination_n which_o have_v their_o number_n agreeable_a to_o they_o and_o those_o that_o be_v between_o the_o equinoctial_a and_o the_o tropic_a of_o cancer_n do_v serve_v from_o the_o 11_o of_o march_n to_o the_o 13_o of_o september_n and_o the_o other_o for_o the_o residue_n of_o the_o year_n the_o crooked_a line_n which_o cross_v those_o parallel_n be_v the_o hour_n line_n and_o the_o point_n of_o the_o meridian_n which_o in_o 90_o degree_n distant_a from_o the_o equinoctial_a towards_o the_o left_a hand_n be_v the_o north_n pole_n and_o the_o point_n opposite_a to_o that_o be_v the_o south_n pole_n in_o the_o horizon_n there_o be_v first_o the_o degree_n and_o then_o the_o point_n of_o the_o compass_n distinguish_v by_o the_o small_a prick_v line_n chap._n xxxvi_o how_o you_o may_v know_v what_o a_o clock_n it_o be_v by_o this_o instrument_n at_o any_o time_n of_o the_o day_n when_o you_o will_v know_v what_o a_o clock_n it_o be_v take_v the_o height_n of_o the_o sun_n with_o your_o astrolabe_n and_o seek_v the_o table_n of_o the_o sun_n declination_n what_o declination_n it_o have_v the_o same_o day_n and_o the_o height_n of_o the_o pole_n which_o a_o good_a mariner_n know_v at_o all_o time_n because_o he_o must_v direct_v his_o course_n thereby_o this_o be_v know_v place_v the_o horizon_n instrument_n on_o the_o one_o side_n under_o the_o north_n and_o on_o the_o other_o side_n above_o the_o south_n so_o many_o degree_n as_o his_o distance_n from_o the_o equinoctial_a be_v the_o same_o day_n and_o fasten_v it_o there_o with_o a_o little_a wax_n that_o it_o may_v not_o move_v then_o count_v in_o the_o meridian_n on_o either_o side_n from_o the_o horizon_n which_o now_o stand_v firm_a the_o height_n of_o the_o sun_n above_o the_o horizon_n take_v with_o your_o astrolabe_n and_o by_o the_o end_n of_o the_o account_n draw_v a_o line_n or_o thread_n overthwart_o which_o shall_v be_v equal_o distant_a from_o the_o horizon_n then_o reckon_v the_o sun_n declination_n in_o the_o parallel_n begin_v from_o the_o equinoctial_a of_o the_o instrument_n that_o way_n which_o the_o sun_n decline_v and_o mark_v the_o line_n or_o parallel_v at_o which_o the_o account_n of_o the_o declination_n end_v where_o and_o at_o what_o hour_n it_o be_v cross_v by_o the_o thread_n for_o that_o hour_n be_v the_o hour_n of_o the_o day_n but_o note_v this_o that_o if_o the_o cross_n of_o the_o thread_n and_o parallel_n do_v fall_v upon_o the_o division_n of_o the_o parallel_n and_o of_o the_o hour_n it_o be_v a_o just_a hour_n but_o if_o it_o fall_v beside_o the_o common_a meeting_n of_o the_o parallel_n and_o of_o the_o hour-line_n upon_o that_o side_n where_o it_o fall_v see_v how_o much_o more_o there_o be_v then_o a_o hour_n whether_o ¼_n or_o 1_o â—_o or_o ½_o etc._n etc._n now_o although_o every_o hour_n line_n have_v two_o number_n one_o of_o the_o morning_n and_o another_o of_o the_o afternoon_n yet_o it_o be_v a_o easy_a matter_n to_o distinguish_v which_o of_o they_o will_v serve_v your_o turn_n if_o you_o know_v whether_o your_o observation_n be_v before_o high_a noon_n or_o after_o which_o be_v to_o be_v know_v by_o your_o astrolabe_n for_o if_o the_o sun_n ascend_v it_o be_v before_o noon_n but_o if_o it_o descend_v it_o be_v afternoon_n chap._n xxxvii_o of_o the_o variation_n of_o the_o compass_n by_o this_o instrument_n if_o you_o will_v know_v by_o this_o instrument_n the_o variation_n of_o the_o compass_n you_o must_v do_v thus_o when_o the_o sun_n rise_v or_o go_v down_o at_o the_o horizon_n observe_v he_o with_o your_o compass_n note_v very_o diligent_o upon_o what_o rumb_n and_o part_n of_o the_o rumb_n he_o rise_v or_o fall_v and_o if_o the_o compass_n be_v divide_v into_o 360_o part_n begin_v to_o reckon_v they_o from_o the_o east_n and_o from_o the_o west_n on_o either_o side_n and_o end_v in_o the_o north_n and_o south_n with_o 90_o degree_n it_o shall_v be_v the_o fit_a for_o this_o purpose_n because_o than_o you_o shall_v see_v
how_o you_o may_v know_v the_o distance_n of_o the_o ship_n from_o they_o 51_o 31._o of_o the_o account_n of_o the_o moon_n 51_o the_o first_o rule_n of_o the_o golden_a number_n 53_o the_o second_o rule_n of_o the_o concurrent_a 53_o the_o three_o rule_n of_o the_o conjunction_n 53_o the_o four_o rule_n of_o the_o full_a and_o quarter_n of_o the_o moon_n 53_o the_o first_o rule_n of_o the_o springtide_n and_o neap-tide_n 54_o a_o example_n whereby_o the_o foresay_a rule_n be_v make_v more_o plain_a 54_o 32._o of_o the_o daily_a tide_n 55_o the_o first_o rule_n 56_o the_o second_o rule_n 56_o the_o three_o rule_n 56_o the_o four_o rule_n 56_o the_o five_o rule_n 57_o a_o example_n of_o the_o say_a rule_n 57_o 33._o of_o a_o certain_a instrument_n whereby_o you_o may_v in_o general_a judge_n of_o the_o tide_n 58_o the_o use_n of_o this_o instrument_n 59_o 34._o of_o the_o make_n of_o a_o universal_a dial_n which_o may_v serve_v general_o all_o the_o world_n over_o 60_o 35._o of_o the_o part_n of_o this_o instrument_n 62_o 36._o how_o you_o may_v know_v what_o a_o clock_n it_o be_v by_o this_o instrument_n 36_o 37._o of_o the_o variation_n of_o the_o compass_n by_o this_o instrument_n 64_o 38._o at_o what_o hour_n the_o sun_n rise_v and_o set_v every_o day_n in_o all_o part_n of_o the_o world_n 65_o 39_o of_o the_o length_n of_o the_o day_n and_o of_o the_o night_n 65_o 40._o of_o a_o night_n dial_n by_o the_o north_n star_n 65_o the_o use_n of_o the_o table_n of_o the_o sun_n declnation_n 67_o a_o table_n of_o the_o sun_n declination_n 69_o by_o the_o height_n of_o the_o polestar_n to_o know_v the_o height_n of_o the_o pole_n 81_o 1_o when_o the_o great_a or_o former_a guard_n be_v in_o the_o east_n of_o the_o same_o height_n with_o the_o polestar_n 83_o 2_o when_o the_o two_o guard_n be_v of_o equal_a height_n betwixt_o the_o east_n and_o the_o high_a 84_o 3_o when_o the_o great_a or_o foremost_a guard_n be_v right_a above_o the_o polestar_n 85_o 4_o when_o the_o two_o guard_n be_v direct_o one_o over_o another_o betwixt_o the_o high_a and_o the_o west_n 86_o 5_o when_o the_o great_a or_o foremost_a guard_n be_v in_o the_o west_n of_o the_o same_o height_n with_o the_o polestar_n 87_o 6_o when_o the_o two_o guard_n be_v of_o equal_a height_n betwixt_o the_o west_n and_o the_o low_a 88_o 7_o when_o the_o great_a or_o former_a guard_n be_v direct_o under_o the_o polestar_n 89_o 8_o when_o the_o two_o guard_n be_v direct_o the_o one_o over_o the_o other_o betwixt_o the_o low_a and_o the_o east_n 90_o finis_fw-la make_v and_o sell_v by_o joseph_n moxon_n at_o his_o shop_n on_o cornhill_n at_o the_o sign_n of_o atlas_n globe_n celestial_a and_o terrestrial_a of_o all_o size_n and_o book_n for_o the_o use_n of_o they_o sphaer_n great_a and_o small_a according_a to_o the_o ptolemean_a systeme_n sphaer_n great_a and_o small_a according_a to_o the_o tychonean_a systeme_n sphaer_n great_a and_o small_a according_a to_o the_o copernican_n systeme_n with_o book_n for_o the_o use_n of_o they_o blagraves_n mathematical_a jewel_n oughtred_n circle_n of_o proportion_n the_o spiral_n line_n gunter_n quadrant_n and_o nocturnal_a stirrup_n universal_a quadrat_fw-la these_o with_o divers_a other_o mathematical_a instrument_n be_v print_v on_o paper_n and_o exact_o past_v on_o board_n &c._n &c._n with_o index_n and_o other_o appurtenance_n proper_a to_o each_o instrument_n very_o commodious_a for_o any_o man_n use_n also_o book_n for_o the_o use_n of_o every_o of_o the_o foresay_a instrument_n sea-plat_n print_v on_o paper_n or_o parchment_n and_o past_v on_o board_n vignola_n or_o the_o complete_a architect_n useful_a for_o all_o carpenter_n mason_n painter_n carver_n or_o any_o gentleman_n or_o other_o that_o delight_n in_o rare_a building_n a_o new_a invention_n to_o raise_v water_n high_o than_o the_o spring_n with_o certain_a engine_n to_o produce_v either_o motion_n or_o sound_n by_o the_o water_n very_o useful_a profitable_a and_o delightful_a for_o such_o as_o be_v addict_v to_o rare_a curiosity_n by_o isaac_n de_fw-fr caus._n a_o help_n to_o calculation_n by_o j._n newton_n a_o mathematical_a manuel_n show_v the_o use_n of_o napier_n bone_n by_o j._n dansie_n a_o tutor_n to_o astrology_n with_o a_o ephemeris_fw-la for_o the_o year_n 1657_o intend_v to_o be_v annual_o continue_v by_o w._n e._n also_o all_o manner_n of_o mathematical_a book_n or_o instrument_n and_o map_n whatsoever_o be_v sell_v by_o the_o foresay_a joseph_n moxon_n the_o haven-finding_a art_n or_o the_o way_n to_o find_v any_o haven_n or_o place_n appoint_v at_o sea_n there_o be_v no_o man_n i_o suppose_v that_o know_v not_o with_o how_o great_a diligence_n now_o of_o a_o long_a time_n especial_o since_o man_n leave_v no_o part_n of_o the_o world_n unattempted_a have_v sail_v into_o america_n and_o to_o the_o utmost_a indies_n the_o searcher_n out_o of_o excellent_a thing_n have_v seek_v some_o certain_a way_n whereby_o they_o which_o take_v charge_n of_o ship_n may_v know_v assure_o the_o situation_n and_o longitude_n of_o what_o place_n soever_o they_o will_v go_v unto_o and_o so_o come_v to_o any_o haven_n or_o place_n appoint_v at_o sea_n but_o i_o know_v not_o how_o it_o have_v come_v to_o pass_v that_o there_o can_v not_o hitherto_o any_o certain_a knowledge_n of_o that_o matter_n be_v attain_a unto_o for_o some_o when_o they_o endeavour_v to_o find_v this_o thing_n by_o the_o magnetical_a needle_n give_v the_o loadstone_n itself_o a_o pole_n which_o of_o the_o loadstone_n call_v also_o the_o magnet_n they_o name_v the_o magnetical_a pole_n or_o pole_n of_o the_o loadstone_n but_o that_o this_o be_v otherwise_o the_o thing_n itself_o have_v teach_v we_o because_o the_o variation_n of_o the_o needle_n be_v find_v not_o to_o follow_v the_o rule_n of_o that_o pole_n yet_o in_o the_o mean_a time_n this_o continual_a search_n give_v occasion_n of_o another_o mean_v whereby_o a_o ship_n may_v certain_o direct_v her_o 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the_o north_n but_o for_o the_o most_o part_n it_o decline_v either_o towards_o the_o east_n or_o west_n which_o variation_n yea_o even_o in_o a_o small_a distance_n of_o place_n have_v most_o manifest_o appear_v to_o they_o which_o have_v direct_v their_o course_n from_o the_o eastern_a part_n towards_o the_o west_n for_o example_n sake_n at_o amsterdam_n the_o variation_n be_v 9_o degree_n and_o 30_o min._n towards_o the_o east_n in_o the_o foreland_n of_o england_n 11_o degr_n at_o london_n 11_o degr_n 30_o min·_n near_o tinmouth_n in_o the_o sea_n 12_o degr_n 40_o min._n and_o so_o forth_o how_o any_o haven_n or_o place_n at_o sea_n may_v be_v find_v the_o latitude_n and_o variation_n of_o the_o same_o place_n only_o be_v know_v the_o variation_n of_o the_o magnetical_a needle_n and_o the_o latitude_n of_o the_o place_n be_v know_v the_o same_o place_n may_v be_v find_v although_o the_o longitude_n be_v unknown_a and_o that_o daily_a experience_n plentiful_o teach_v for_o that_o 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41_o 12_o 49_o 53_o 26_o 11_o 36_o 26_o 5_o 0_o 6_o 36_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr 3_o 36_o 9_o 9_o ♎_o 3_o 26_o 8_o ♎_o 57_o 0_o 6_o 26_o 6_o 42_o 5_o 16_o 59_o 57_o 16_o 51_o 0_o 8_o 57_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr 8_o 57_o 54_o 22_o 58_o 13_o 22_o 48_o 0_o 10_o 13_o 11_o 8_o 15_o 28_o 56_o 34_o 28_o 46_o 0_o 10_o 34_o 11_o 50_o 55_o 0_o â™_o 57_o 28_o 0_o â™_o 45_o 0_o 12_o 28_o 15_o 12_o 37_o 11_o 5_o 41_o 10_o 46_o 0_o 19_o 41_o 16_o 17_o 10_o 14_o 4_o 23_o 13_o 46_o 0_o 18_o 23_o 16_o 43_o 19_o 16_o 7_o 30_o 15_o 47_o 0_o 20_o 30_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr 8_o 5_o 58_o 21_o 6_o 26_o 20_o 48_o 0_o 18_o 26_o 16_o 9_o 0_o 25_o 16_o 16_o 24_o 50_o 0_o 26_o 16_o 22_o 7_o 55_o 10_o â™_o 42_o 36_o 10_o â™_o 1_o 0_o 41_o 36_o chap._n xx._n the_o find_n of_o the_o sun_n apogeum_n and_o eccentricitie_n 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10_o min._n 13_o sec_fw-la and_o out_o of_o these_o the_o true_a declination_n 16_o degr_n 8_o min._n 44_o sec._n 16_o degr_n 25_o min._n 13_o sec._n 16._o degr_n 52_o min._n 13._o sec._n hereby_o i_o find_v the_o true_a place_n of_o the_o sun_n the_o same_o day_n to_o be_v 14_o degr_n 9_o min._n 40_o sec._n of_o taurus_n 15_o degr_n 5_o min._n 20_o sec._n of_o taurus_n 16_o degr_n 3_o min._n 42_o sec._n of_o taurus_n subtract_v therefore_o 14_o degr_n 9_o min_fw-mi 40_o sec._n of_o taurus_n that_o be_v the_o place_n of_o the_o sun_n the_o 24_o day_n out_o of_o 15_o degr_n 5_o min._n 20_o sec._n of_o taurus_n the_o place_n of_o the_o sun_n the_o 25_o day_n the_o remainder_n shall_v be_v 55_o min._n 40_o sec._n which_o be_v the_o true_a motion_n of_o the_o sun_n between_o the_o 24_o and_o 25._o day_n at_o noon_n that_o be_v the_o diurn_n motion_n of_o the_o sun_n at_o that_o time_n subtract_v also_o 14_o degr_n 9_o min._n 40_o sec._n of_o taurus_n out_o of_o 15_o degr_v 0_o min._n of_o taurus_n the_o difference_n be_v 50_o min._n 20_o sec._n now_o as_o 55_o min._n 40_o sec_fw-la be_v to_o 50_o min._n 20_o sec._n so_o be_v 24_o hour_n to_o 21_o hour_n 42_o min._n and_o 2_o sec_fw-la it_o appear_v therefore_o by_o subtract_v 21_o hour_n 42_o min._n 2_o sec._n out_o of_o 24_o hour_n that_o the_o sun_n shall_v enter_v into_o the_o midst_n of_o taurus_n the_o 25_o day_n about_o two_o hour_n and_o almost_o 18_o min._n before_o noon_n that_o be_v at_o nine_o a_o clock_n and_o 42_o minute_n now_o suppose_v i_o have_v not_o or_o can_v not_o have_v observe_v the_o