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centre_n of_o gravity_n on_o which_o it_o be_v equal_o poise_v without_o the_o weight_n to_o turn_v round_o have_v a_o swifle_n and_o ring_n to_o hang_v or_o hook_n to_o any_o convenient_a place_n in_o the_o ship_n or_o those_o that_o please_v may_v have_v a_o stand_v purposely_o for_o it_o there_o must_v be_v a_o small_a line_n or_o slippery_a cord_n or_o cord_n fasten_v somewhat_o slack_a from_o corner_n to_o corner_n on_o the_o circumference_n of_o the_o quadrant_n on_o which_o cord_n hang_v the_o weight_n of_o 20_o or_o 30_o pound_n or_o more_o or_o less_o as_o you_o find_v most_o convenient_a for_o the_o substance_n or_o radius_fw-la of_o the_o quadrant_n from_o the_o say_a weight_n or_o rather_o from_o that_o part_n that_o slide_v on_o the_o cord_n may_v come_v two_o index_n one_o to_o point_v to_o the_o altitude_n on_o one_o side_n of_o the_o quadrant_n and_o the_o other_o to_o the_o
they_o be_v careful_a in_o the_o practic_n part_n of_o navigation_n it_o very_o often_o happen_v that_o one_o error_n correct_v another_o as_o for_o example_n suppose_v we_o err_v 4_o or_o 5_o minute_n in_o the_o lattitude_n 2_o or_o 3_o minute_n in_o the_o sun_n r._n a._n or_o dec._n in_o the_o day_n time_n 3_o or_o 4_o min._n in_o the_o star_n r._n a._n and_o about_o as_o many_o in_o its_o altitude_n it_o be_v ten_o to_o one_o odds_o but_o these_o error_n if_o not_o much_o great_a will_v so_o help_v to_o correct_v one_o another_o that_o you_o will_v come_v very_o near_o the_o true_a time_n of_o the_o day_n or_o night_n and_o what_o blockhead_n will_v trust_v to_o one_o observation_n when_o he_o can_v have_v the_o mean_v of_o 6_o or_o 8_o observation_n i_o account_v he_o a_o ignorant_a observer_n that_o err_v above_o 10_o or_o 12_o second_n of_o time_n day_n or_o night_n trust_v not_o to_o mr._n seller_n colson_n norwood_n newton_n table_n of_o the_o sun_n r._n a._n for_o for_o they_o 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to_o our_o seaman_n if_o they_o be_v true_o calculate_v for_o noon_n or_o midnight_n in_o our_o first_o meridian_n but_o i_o think_v i_o can_v find_v as_o great_a objection_n as_o either_o of_o the_o former_a it_o be_v very_o difficult_a to_o contrive_v a_o instrument_n useful_a at_o sea_n for_o take_v the_o moon_n true_a distance_n from_o fix_a star_n for_o if_o you_o err_v but_o one_o minute_n of_o motion_n in_o the_o distance_n it_o will_v produce_v a_o error_n of_o about_o 28′_n in_o longitude_n and_o if_o the_o star_n place_n which_o you_o take_v your_o distance_n from_o happen_v to_o be_v one_o or_o two_o minute_n false_a the_o error_n will_v be_v so_o much_o the_o great_a also_o idleness_n be_v the_o root_n of_o ignorance_n and_o many_o other_o evil_n our_o mathematic_a schoolmaster_n that_o teach_v navigation_n most_o of_o their_o scholar_n when_o they_o come_v to_o sea_n be_v half_a to_o begin_v again_o a_o seaman_n have_v much_o nightwork_n as_o well_o as_o daywork_n it_o 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earth_n the_o duration_n of_o a_o solar_a eclipse_n appear_v long_a in_o some_o place_n of_o the_o earth_n then_o in_o other_o therefore_o the_o end_n of_o a_o solar_a eclipse_n happen_v not_o at_o the_o same_o moment_n of_o time_n all_o over_o the_o world_n the_o superior_a planet_n suffer_v no_o eclipse_n when_o the_o earth_n come_v between_o they_o and_o the_o sun_n because_o the_o conical_a shadow_n of_o the_o earth_n can_v reach_v they_o anno_fw-la 1688_o october_n the_o 14_o 12°_n 40′_n mer._n do_v west_n plain_a chart_n from_o the_o mauritius_n i_o observe_v the_o sun_n eclipse_v at_o the_o end_n of_o the_o eclipse_n the_o ☉_o alt_z 27°_n 35′_n ☉_o dec._n 12°_n 3′_n s._n lat._n 31°_n 6′_n s._n will_v give_v the_o hour_n of_o the_o day_n 10_o h_o 33′_n 48″_n a._n m._n in_o our_o first_o meridian_n the_o end_n of_o the_o eclipse_n happen_v by_o some_o calculation_n at_o 7_o h_o 15′_n a._n m._n the_o difference_n be_v 3_o h_z 18′_n 48″_n convert_v into_o degree_n and_o minute_n 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know_a fix_a star_n be_v as_o certain_a as_o by_o eclipse_n of_o the_o sun_n or_o moon_n if_o mr._n halley_n be_v capable_a to_o observe_v the_o transit_fw-la of_o the_o sun_n and_o mercury_n as_o appear_v by_o these_o word_n viz._n schema_fw-la solis_fw-la ad_fw-la ingressum_fw-la mercurii_n st._n helena_n anno_fw-la 1677_o octob._n 28_o 9_o h_o 26′_n 40″_n p._n m._n sure_o with_o ordinary_a telescope_n we_o may_v be_v capable_a to_o observe_v when_o a_o star_n begin_v to_o culminate_v and_o limerge_n in_o or_o near_o the_o moon_n disk_n of_o or_o concern_v longitude_n by_o the_o moon_n approach_v and_o apulse_n to_o fix_a star_n this_o some_o think_v will_v be_v the_o most_o
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it_o a_o large_a table_n of_o difference_n of_o latitude_n and_o departure_n such_o a_o one_o as_o be_v in_o colson_n calendar_n the_o table_n of_o the_o sun_n right_a ascension_n aught_o to_o be_v more_o large_a and_o calculate_v to_o degree_n and_o minute_n to_o a_o certain_a year_n etc._n etc._n pardon_v this_o digression_n now_o to_o our_o purpose_n again_o since_o we_o be_v unfurnished_v with_o fit_v table_n of_o all_o the_o say_a satellite_n i_o recommend_v you_o to_o the_o best_a i_o know_v of_o viz._n see_v ph._n trans_fw-la n._n 214_o p._n 237._o to_o 256._o mounseur_fw-fr cassini_n his_o new_a and_o exact_a table_n for_o the_o eclipse_n of_o the_o first_o satellite_fw-la of_o jupiter_n reduce_v to_o the_o julian_n style_n and_o meridian_n of_o london_n etc._n etc._n but_o in_o calculate_v the_o eclipse_n of_o the_o satellite_fw-la by_o the_o say_a table_n there_o sometime_o happen_v a_o error_n of_o 3_o or_o 4_o minute_n of_o time_n i_o believe_v i_o know_v how_o to_o 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opportunity_n have_v only_o a_o small_a cabin_n sometime_o not_o high_a enough_o to_o stand_v upright_o in_o nor_o my_o length_n to_o lie_v down_o in_o insomuch_o that_o i_o have_v be_v oblige_v to_o borrow_v both_o book_n and_o instrument_n for_o the_o common_a practice_n of_o navigation_n beside_o the_o circumstance_n of_o my_o employ_v and_o many_o other_o inconvenience_n that_o may_v and_o do_v attend_v such_o study_n and_o observation_n i_o will_v conclude_v this_o chapter_n with_o the_o follow_a word_n which_o i_o take_v to_o be_v the_o ingenious_a mr._n flamstead'_v viz._n as_o by_o lunar_a eclipse_n so_o also_o by_o the_o eclipse_n of_o jupiter_n satellite_n the_o difference_n of_o the_o observe_v moment_n of_o the_o occultation_n or_o emersion_n of_o a_o satellite_fw-la from_o his_o shadow_n note_v careful_o in_o two_o distant_a place_n will_v be_v the_o difference_n of_o meridian_n betwixt_o these_o two_o place_n in_o time_n but_o i_o can_v hope_v that_o this_o method_n shall_v prove_v of_o much_o use_n to_o the_o ingenious_a seaman_n because_o the_o observation_n require_v long_a telescope_n which_o in_o a_o ship_n will_v hardly_o be_v manageable_a nor_o can_v we_o expect_v to_o find_v the_o difference_n of_o meridian_n by_o one_o only_a observation_n of_o a_o satellite_fw-la eclipse_n as_o we_o have_v hope_n we_o may_v by_o a_o lunar_a by_o reason_n that_o as_o yet_o the_o inequality_n of_o their_o motion_n and_o the_o time_n require_v for_o the_o transmission_n of_o light_n from_o the_o planet_n to_o our_o earth_n be_v unknown_a nay_o their_o mean_a motion_n be_v scarce_o so_o exact_o state_v but_o that_o we_o may_v just_o suspect_v they_o erroneous_a omit_v these_o therefore_o the_o best_a method_n for_o the_o discovery_n of_o the_o longitude_n will_v be_v in_o my_o opinion_n i_o be_o dubious_a he_o be_v now_o of_o another_o opinion_n by_o the_o moon_n apulse_n to_o or_o observe_v distance_n from_o fix_a star_n upon_o which_o accoun_n i_o will_v recommend_v the_o improvement_n and_o correction_n of_o her_o theory_n with_o the_o doctrine_n and_o construction_n of_o apulse_n to_o the_o study_n of_o the_o ingenious_a astronomer_n and_o seaman_n humanum_fw-la est_fw-la errare_fw-la i_o have_v almost_o forget_v mr._n newton_n have_v contrive_v a_o instrument_n for_o his_o own_o use_n to_o see_v jupiter_n satellite_n by_o reflection_n on_o well_o polish_a mettle_n the_o instrument_n be_v about_o 15_o inch_n long_o as_o some_o say_v other_z 9_o or_o 10_o inch_n and_o call_v it_o a_o reflect_a telescope_n i_o be_o inform_v it_o be_v of_o little_a or_o no_o use_n i_o have_v not_o see_v any_o of_o they_o therefore_o can_v give_v you_o no_o better_a description_n i_o also_o add_v to_o tell_v some_o master_n of_o of_o jupiter_n satellite_n be_v like_o tell_v a_o story_n to_o a_o bear_n they_o know_v better_o how_o to_o manage_v a_o cann_n of_o
phlip_n the_o set_n and_o well-manageing_a a_o telescope_n be_v of_o great_a consequence_n chap._n viii_o conclusion_n omne_fw-la probate_a quod_fw-la bonum_fw-la est_fw-la tenete_fw-la that_o which_o i_o have_v write_v in_o this_o book_n i_o design_v for_o the_o public_a good_a of_o mankind_n in_o which_o i_o hope_v i_o have_v not_o offend_v god_n if_o any_o art_n or_o science_n commerce_n or_o trade_n be_v good_a and_o just_a in_o their_o kind_n than_o what_o i_o have_v write_v concern_v longitude_n be_v good_a and_o just_a in_o its_o kind_n that_o be_v if_o it_o be_v not_o abuse_v though_o there_o be_v a_o officer_n in_o the_o navy_n as_o i_o be_v inform_v who_o curse_v and_o damn_a the_o man_n that_o shall_v discover_v the_o longitude_n thou_o old_a inveterate_a rusty_a musty_a filthy_a canker_a carnal_a devil_n for_o curse_v down_o upon_o thy_o marrowbone_n if_o thou_o have_v any_o and_o ask_v god_n almighty_a forgiveness_n for_o thy_o sin_n know_v that_o it_o it_o be_v not_o in_o thy_o power_n to_o damn_v any_o man_n but_o thyself_o god_n who_o suffer_v the_o earth_n to_o be_v inhabit_a by_o angel_n for_o a_o infinite_a number_n of_o age_n before_o he_o create_v adam_n and_o then_o expel_v they_o hence_o for_o their_o wickedness_n and_o turn_v they_o to_o devil_n give_v this_o globe_n for_o a_o dwell_a place_n to_o man_n grant_v that_o the_o enormous_a crime_n of_o mortal_n may_v not_o provoke_v he_o to_o exterminate_v our_o humane_a race_n and_o restore_v the_o devil_n to_o their_o ancient_a habitation_n tur._n spy_n vol._n 3._o pag._n 359._o but_o as_o for_o that_o one_o man_n i_o doubt_v there_o be_v more_o such_o aforesaid_a i_o believe_v he_o do_v not_o speak_v it_o then_o out_o of_o ill-will_a to_o i_o but_o to_o some_o other_o person_n or_o rather_o rash_o or_o unaware_o i_o believe_v his_o meaning_n at_o that_o time_n be_v that_o this_o ungrateful_a world_n do_v not_o deserve_v so_o great_a a_o blessing_n or_o so_o worthy_a a_o science_n i_o be_o 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while_n as_o i_o have_v hear_v say_v the_o venetian_n have_v offer_v reward_n the_o state_n of_o holland_n as_o i_o be_v inform_v some_o year_n ago_o take_v this_o science_n so_o much_o into_o their_o consideration_n that_o they_o offer_v ten_o thousand_o pound_n to_o any_o man_n that_o be_v capable_a to_o discover_v it_o thomas_n axe_n a_o englishman_n leave_v a_o legacy_n of_o one_o thousand_o pound_n never_o to_o be_v pay_v i_o think_v to_o any_o person_n that_o shall_v discover_v the_o longitude_n within_o the_o space_n of_o ten_o year_n after_o his_o decease_n if_o his_o wife_n and_o child_n die_v childless_a in_o that_o time_n beside_o it_o be_v to_o be_v approve_v of_o by_o the_o four_o professor_n of_o geometry_n and_o astronomy_n in_o oxford_n and_o cambridge_n for_o the_o time_n be_v and_o at_o least_o twenty_o experience_a master_n of_o ship_n that_o shall_v have_v make_v several_a experiment_n thereof_o in_o long_a voyage_n affidavit_n be_v to_o be_v make_v before_o the_o twelve_o judge_n of_o england_n etc._n etc._n he_o die_v in_o the_o year_n 1691_o and_o i_o think_v take_v care_n enough_o that_o the_o say_v one_o thousand_o pound_n shall_v be_v irrecoverable_a indeed_o i_o have_v little_a better_a opinion_n of_o either_o the_o venetian_a or_o dutch_a gratuity_n state_n may_v be_v mistake_v in_o their_o policy_n god_n almighty_a never_o ordain_v that_o this_o science_n shall_v be_v well_o know_v to_o the_o world_n by_o fraudulent_a mean_n but_o if_o their_o design_n be_v real_a as_o you_o may_v suppose_v where_o be_v the_o encouragement_n i_o know_v not_o how_o to_o recover_v my_o cost_n and_o charges_n though_o i_o have_v lay_v and_o shall_v the_o rest_n by_o and_o by_o most_o of_o the_o ground_n work_n at_o my_o charge_n where_o be_v the_o money_n to_o raise_v and_o perfect_v the_o work_n there_o be_v pound_n want_v present_a pay_n towards_o the_o charge_n of_o make_v two_o wonderful_a instrument_n for_o the_o first_o make_v of_o the_o instrument_n 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