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paw_n or_o only_o my_o labour_n for_o my_o pain_n future_a age_n may_v be_v more_o competent_a judge_n but_o my_o mind_n will_v be_v easy_o when_o this_o book_n be_v publish_v because_o therein_o i_o have_v do_v my_o duty_n and_o ease_v the_o burden_n of_o my_o brain_n if_o in_o this_o treatise_n have_v seem_v to_o reflect_v on_o any_o person_n it_o be_v my_o dialect_n i_o desire_v their_o excuse_n i_o envy_v no_o man_n envy_n and_o ingratitude_n be_v most_o natural_a to_o some_o who_o duty_n it_o be_v to_o understand_v these_o thing_n and_o their_o capacity_n can_v reach_v they_o if_o any_o person_n be_v mind_v or_o can_v or_o will_v undertake_v to_o correct_v or_o amend_v what_o i_o have_v write_v i_o wish_v they_o good_a success_n i_o desire_v they_o to_o own_o what_o they_o borrow_v and_o not_o to_o reflect_v without_o just_a cause_n it_o be_v difficult_a to_o write_v such_o a_o book_n as_o this_o be_v i_o think_v it_o be_v the_o first_o of_o this_o nature_n without_o fault_n it_o be_v likely_a i_o myself_o may_v find_v some_o in_o a_o year_n time_n that_o if_o i_o be_v to_o write_v over_o again_o i_o can_v amend_v i_o dare_v affirm_v that_o this_o book_n contain_v some_o estimable_a expression_n and_o method_n fit_a for_o seman_n knowledge_n and_o practice_n and_o such_o as_o have_v not_o be_v former_o publish_v there_o be_v some_o person_n in_o england_n who_o duty_n it_o be_v be_v pay_v for_o it_o to_o improve_v navigation_n and_o astronomy_n and_o from_o who_o much_o be_v expect_v and_o little_a or_o nothing_o of_o purpose_n appear_v it_o be_v my_o opinion_n that_o the_o appearance_n of_o comet_n may_v be_v find_v by_o calculation_n if_o any_o person_n capable_a think_v it_o worthy_a his_o trouble_n concern_v this_o book_n the_o common_a vogue_n will_v be_v viz._n but_o will_v it_o do_v be_v it_o the_o longitude_n i_o say_v yes_o it_o be_v the_o longitude_n begin_v and_o will_v do_v with_o industry_n and_o encouragement_n else_o not_o for_o it_o be_v contrary_a to_o seman_n vulgar_a say_n that_o when_o the_o longitude_n be_v find_v than_o there_o will_v be_v abundance_n of_o artist_n navigation_n will_v be_v so_o easy_a no_o no_o navigation_n will_v not_o be_v so_o easy_a at_o present_a but_o much_o more_o certain_a and_o true_a the_o learned_a bacon_n say_v the_o longitude_n be_v worth_a a_o kingdom_n to_o a_o wise_a man_n but_o before_o i_o conclude_v to_o return_v to_o my_o instrument_n the_o description_n i_o have_v give_v thereof_o avail_v little_a without_o my_o further_a assistance_n till_o then_o the_o reader_n if_o he_o please_v may_v compare_v to_o fox_n stare_v on_o bunch_n of_o ripe_a gripe_n and_o can_v get_v at_o they_o then_o they_o be_v too_o sour_a for_o they_o for_o so_o my_o dream_n intimate_v when_o i_o be_v among_o a_o crowd_n of_o fox_n awe_v at_o my_o presence_n and_o after_o i_o have_v look_v on_o they_o they_o vanish_v and_o leave_v i_o other_o object_n the_o most_o ingenious_a of_o humane_a invention_n be_v far_o less_o facile_a than_o the_o ordinary_a performance_n of_o truth_n and_o nature_n i_o love_v my_o king_n the_o church_n of_o england_n and_o my_o country_n and_o i_o thank_v my_o god_n i_o know_v myself_o capable_a and_o worthy_a to_o serve_v they_o though_o too_o much_o debase_v for_o want_n of_o friend_n in_o court_n if_o this_o meet_a with_o its_o deserve_a encouragement_n the_o rest_n may_v follow_v in_o good_a time_n but_o i_o must_v make_v haste_n and_o conclude_v my_o attendance_n and_o dependence_n be_v require_v in_o our_o navy_n royal_a which_o duty_n i_o dare_v not_o neglect_v for_o fear_v of_o be_v excommunicate_v or_o which_o be_v as_o bad_a exclude_v from_o preferment_n quamvis_fw-la bene_fw-la merenti_fw-la nil_fw-la tam_fw-la difficile_fw-la est_fw-la quod_fw-la non_fw-la solertia_fw-la vincat_fw-la te_fw-la deum_fw-la laudamus_fw-la finis_fw-la errata_fw-la page_n 2._o l._n 9_o r._n plane_n p._n 17._o l._n 8._o r._n zulichem_n p._n 20._o l._n 6._o r._n cert_n be_v l._n 9_o r._n industria_n l._n 19_o r._n a_o idea_n p._n 28._o l._n 3._o r._n bond._n p._n 29_o l._n 5._o r._n the_o increase_n p._n 30._o l._n 3._o for_o i_o r._n one_o l._n 17._o for_o by_o r._n with_o p._n 31._o l._n 22._o r._n though_o l._n 23._o r._n suppose_v p._n 36._o l._n 12._o add_v when_o northerly_a p._n 37._o l._n 10._o r._n precede_v p._n 59_o l._n 27._o for_o p._n m._n r._n a._n m._n add_v schema_fw-la solis_fw-la ad_fw-la exitum_fw-la mercurii_n st._n helen_n anno_fw-la 1677._o octob._n 28._o 2_o h._n 4_o p._n m._n p._n 55._o l._n 10._o r_o will_v be_v p._n 63._o l._n 27._o r._n with_o p._n 70_o l._n 2._o r._n sun_n and_o star_n
idea_n longitudinis_fw-la be_v a_o brief_a definition_n of_o the_o best_a know_a axiom_n for_o find_v the_o longitude_n or_o a_o more_o rational_a discovery_n thereof_o than_o have_v be_v heretofore_o publish_v by_o edward_n harrison_n lt._n london_n print_v for_o the_o author_n and_o sell_v by_o mr._n seller_n at_o the_o hermitage_n r._n mount_v at_o the_o postern_n on_o tower-hill_n and_o p._n lea_n at_o the_o atlas_n and_o hercules_n in_o cheapside_n at_o the_o corner_n of_o friday-street_n 1696._o to_o the_o right_n honourable_a the_o commissioner_n for_o execute_v the_o office_n of_o lord_n high_a admiral_n of_o england_n &c_n &c_n my_o lord_n it_o be_v a_o say_n in_o the_o navy_n he_o that_o know_v not_o how_o to_o obey_v command_n be_v not_o worthy_a to_o bear_v command_n and_o another_o say_n i_o have_v often_o hear_v in_o the_o navy_n it_o be_v hard_a for_o a_o officer_n to_o know_v when_o he_o go_v too_o fast_o or_o too_o slow_a that_o be_v whether_o he_o be_v too_o severe_a 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that_o for_o seamen_n practice_n be_v little_a inferior_a to_o the_o longitude_n how_o the_o world_n may_v esteem_v of_o this_o book_n i_o can_v tell_v but_o i_o hope_v it_o will_v be_v as_o a_o safeguard_v or_o mean_n to_o save_v many_o a_o ship_n from_o be_v wreck_v ashore_o and_o save_v many_o a_o seaman_n life_n some_o blockhead_n be_v apt_a to_o say_v the_o longitude_n can_v be_v find_v no_o no_o it_o can_v accidental_o as_o a_o sow_n do_v a_o t_o d_o in_o the_o street_n but_o by_o care_n diligence_n and_o industry_n it_o may_v be_v find_v without_o which_o it_o can_v be_v understand_v though_o we_o have_v be_v at_o the_o dutch_a for_o hydrographical_a and_o geographical_a draught_n let_v we_o not_o go_v the_o to_o french_a to_o learn_v their_o use_n but_o why_o
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height_n of_o the_o eye_n above_o the_o water_n and_o the_o great_a difficulty_n of_o see_v two_o object_n at_o once_o that_o be_v the_o sun_n or_o star_n and_o the_o horizon_n for_o if_o the_o star_n be_v high_a whilst_o you_o be_v a_o look_v for_o it_o at_o one_o end_n of_o the_o vane_n you_o lose_v the_o horrizon_n at_o the_o other_o end_n of_o the_o vane_n or_o a_o look_n for_o one_o you_o lose_v the_o sight_n of_o the_o other_o therefore_o to_o avoid_v such_o error_n for_o take_v altitude_n in_o the_o night_n i_o commend_v you_o to_o a_o quadrant_n with_o a_o pendulum_n from_o its_o centre_n see_v the_o figure_n of_o it_o in_o moxon's_n tutor_n to_o astr_n prob._n 13._o p._n 48._o this_o instrument_n may_v seem_v very_o troublesome_a at_o first_o for_o want_v of_o use_n and_o custom_n use_v a_o weight_n of_o at_o least_o two_o or_o three_o pound_n with_o a_o small_a wire_n or_o catts-gut_n for_o take_v small_a height_n or_o distance_n you_o may_v use_v a_o almicant_a staff_n for_o ordinary_a uses_n but_o if_o your_o observation_n require_v great_a exactness_n vide_fw-la tichonis_n brahe_n astronomiae_n instauratae_fw-la mechanica_fw-la or_o john_n hevelii_n machinae_fw-la caelestis_fw-la pars_fw-la prio_fw-la etc._n etc._n instead_o of_o instrument_n that_o resolve_v mathematical_a question_n as_o sector_n upon_o quadrant_n analemma_n etc._n etc._n stick_v close_o to_o the_o doctrine_n of_o plain_a and_o spherical_a triangle_n and_o to_o logarithmical_a table_n but_o on_o better_a consideration_n the_o quadrant_n in_o moxons_n tutor_n to_o astr_n aforesaid_a be_v not_o very_o fit_v for_o sea_n use_v without_o some_o alteration_n therefore_o i_o have_v contrive_v a_o quadrant_n something_o like_o the_o former_a with_o weight_n that_o command_v it_o so_o that_o it_o will_v always_o continue_v in_o the_o same_o position_n you_o direct_v it_o to_o it_o may_v be_v contrive_v to_o hang_v like_o a_o pair_n of_o scale_n or_o ballance_n have_v a_o axis_n in_o its_o 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
want_n of_o understand_v the_o longitude_n or_o the_o variation_n i_o say_v i_o believe_v such_o accident_n may_v have_v happen_v but_o very_o rare_o for_o most_o ship_n have_v be_v lose_v by_o many_o other_o accident_n as_o storm_n or_o the_o like_a example_n our_o great_a loss_n by_o storm_n late_o in_o the_o straits_n of_o giblaterra_n and_o the_o late_a hurricane_a at_o barbadoes_n in_o which_o ship_n i_o believe_v be_v some_o as_o able_a seaman_n and_o experience_a artist_n in_o navigation_n as_o the_o world_n do_v afford_v the_o find_v the_o lattitude_n by_o the_o inclination_n of_o the_o inclinatory_a needle_n be_v at_o present_a throw_v out_o of_o door_n as_o of_o little_a or_o no_o account_n as_o well_o it_o may_v if_o we_o will_v be_v such_o novice_n as_o to_o confine_v the_o inclinatory_a needle_n in_o a_o narrow_a cycloid_v as_o common_o it_o be_v by_o which_o mean_n it_o become_v useless_a at_o sea_n and_o not_o manageable_a therefore_o it_o ought_v to_o be_v contrive_v to_o hang_v in_o equilibiro_fw-la so_o that_o it_o may_v have_v a_o free_a circular_a motion_n any_o way_n on_o its_o centre_n of_o gravity_n and_o then_o it_o will_v much_o easy_o show_v the_o inclination_n and_o variation_n also_o if_o need_v require_v it_o and_o if_o the_o theory_n of_o its_o inclination_n be_v know_v all_o the_o world_n over_o we_o may_v also_o find_v the_o latitude_n by_o it_o the_o follow_a word_n be_v forget_v at_o the_o end_n of_o the_o four_o chapter_n viz._n our_o countryman_n mr._n watson_n who_o make_v a_o ingenious_a clock_n for_o our_o late_a queen_n which_o show_v the_o celestial_a motion_n and_o monsieur_n didier_n celestial_a globe_n show_v the_o apparent_a motion_n from_o east_n to_o west_n and_o from_o west_n to_o east_n of_o the_o sun_n moon_n and_o fix_v star_n see_v ph._n tr_z n._n 136._o p._n 895._o i_o think_v a_o globe_n may_v be_v project_v and_o make_v like_o the_o late_a that_o may_v show_v latitude_n longitude_n sun_n or_o star_n horary_a distance_n from_o the_o meridian_n and_o variation_n etc._n etc._n but_o it_o will_v be_v too_o costly_a for_o ordinary_a uses_n and_o nothing_o hinder_v its_o truth_n or_o equal_a motion_n more_o than_o the_o different_a temperature_n of_o air_n and_o wether_n though_o we_o may_v attribute_v something_o to_o the_o goodness_n of_o the_o spring_n and_o oil_n chap._n vi_o longitude_n by_o the_o moon_n be_v motion_n by_o her_o conjunction_n or_o eclipse_n and_o apulse_n to_o fix_a star_n of_o her_o illumination_n by_o the_o sun_n the_o question_n be_v yet_o unresolved_a which_o time_n ought_v to_o be_v call_v the_o true_a conjunction_n or_o opposition_n whether_o when_o the_o sun_n and_o moon_n be_v in_o one_o line_n perpendicular_a to_o the_o ecliptic_a or_o perpendicular_a to_o the_o orb_n of_o the_o moon_n or_o when_o they_o be_v equal_o distant_a from_o the_o nodes_fw-la mr._n shakerley_n tabulae_fw-la britannicae_n precept_n 15._o pag._n 67._o let_v we_o correct_v this_o learned_a mistake_n and_o agree_v with_o most_o astronomer_n that_o it_o be_v always_o new_a moon_n when_o the_o sun_n and_o moon_n have_v both_o one_o longitude_n from_o the_o first_o point_n of_o aries_n the_o mean_a motion_n of_o the_o moon_n in_o one_o natural_a day_n be_v 13°_n 10′_n 35″_n her_o mean_a motion_n from_o the_o sun_n in_o one_o day_n be_v 12°_n 11′_n 27″_n but_o in_o her_o motion_n she_o have_v many_o inequality_n for_o which_o purpose_n table_n of_o her_o motion_n may_v be_v require_v i_o refer_v you_o to_o astronomia_fw-la carolina_n astronomia_fw-la harmonicae_fw-la astronomica_fw-la instaurata_fw-la tabulae_fw-la britannicae_n astronomia_fw-la anglicana_n cursus_fw-la mathematicus_fw-la rudolphus_n table_n not_o forget_v mr._n newton_n and_o sir_n ionas_n moor_n table_n yet_o among_o they_o all_o the_o theory_n of_o the_o moon_n be_v motion_n remain_v in_o perfect_a and_o not_o easy_a to_o calculate_v many_o able_a mathematician_n have_v write_v concern_v find_v the_o longitude_n by_o the_o moon_n motion_n mr._n norwood_n write_v something_o but_o it_o be_v never_o publish_v i_o have_v be_v inform_v his_o method_n be_v by_o the_o moon_n motion_n concern_v which_o he_o write_v a_o large_a tract_n of_o her_o motion_n and_o contrive_v a_o instrument_n for_o take_v her_o distance_n from_o fix_a star_n mr._n street_n way_n be_v unknown_a to_o i_o but_o we_o suppose_v his_o way_n by_o the_o moon_n motion_n also_o by_o his_o contrive_v a_o instrument_n for_o take_v angle_n by_o reflection_n i_o have_v see_v the_o instrument_n but_o he_o can_v not_o bring_v it_o to_o perfection_n which_o i_o gather_v from_o those_o who_o have_v have_v some_o cognizance_n thereof_o see_v his_o appendix_n to_o astr_n car._n i_o have_v see_v a_o pamphlet_n write_v by_o john_n herne_n wherein_o his_o method_n for_o find_v the_o moon_n sothe_v be_v very_o erroneous_a as_o also_o almost_o all_o the_o rest_n of_o it_o you_o may_v believe_v the_o like_a of_o theaker_n book_n and_o wooden_a tool_n these_o i_o mention_v that_o seaman_n be_v not_o delude_v by_o such_o foolish_a tool_n and_o pamphlet_n there_o be_v a_o late_a author_n say_v viz._n find_v the_o true_a moment_n of_o time_n in_o which_o the_o moon_n come_v to_o the_o meridian_n and_o thereby_o the_o longitude_n of_o any_o place_n may_v be_v find_v after_o this_o manner_n etc._n etc._n in_o answer_n thereto_o sir_n i_o assure_v you_o the_o longitude_n be_v not_o to_o be_v find_v after_o your_o manner_n nor_o by_o any_o of_o your_o method_n till_o better_v teach_v i_o presume_v i_o know_v better_o than_o yourself_o what_o belong_v to_o meridian_n altitude_n especial_o at_o sea_n and_o if_o you_o please_v to_o learn_v from_o i_o that_o when_o the_o sun_n have_v south_n declination_n 20°_n or_o 23°_n and_o in_o north_n lattitude_n 50_o or_o 60°_n it_o be_v too_o difficult_a a_o matter_n to_o find_v noon_n or_o midday_n by_o any_o usual_a sea_n instrument_n within_o two_o or_o three_o minute_n of_o time_n our_o observer_n common_o begin_v to_o observe_v a_o little_a before_o the_o bell_n strike_v seven_o and_o in_o the_o aforesaid_a latitude_n it_o be_v common_a to_o observe_v till_o a_o quarter_n of_o a_o hour_n past_o 12_o a_o clock_n before_o they_o can_v perceive_v the_o sun_n fall_v as_o they_o call_v it_o but_o when_o the_o sun_n be_v within_o twelve_o degree_n of_o your_o zenith_n then_o be_v very_o quick_a to_o attend_v or_o else_o you_o may_v lose_v your_o observation_n the_o like_a of_o the_o moon_n or_o any_o star_n any_o other_o time_n of_o the_o day_n be_v more_o easy_a and_o true_a to_o be_v find_v at_o sea_n than_o noon_n a_o old_a experience_a navigator_n pretend_v to_o know_v how_o to_o south_n the_o moon_n by_o the_o north_n star_n on_o the_o meridian_n i_o ask_v he_o how_o often_o he_o have_v see_v the_o moon_n and_o north_n star_n on_o his_o meridian_n both_o at_o one_o time_n as_o also_o how_o we_o must_v do_v in_o south_n latitude_n to_o north_n the_o moon_n and_o if_o it_o be_v possible_a to_o find_v the_o time_n of_o moon_n sothe_v or_o northing_n it_o be_v to_o no_o purpose_n to_o expect_v the_o longitude_n thereby_o consider_v we_o can_v have_v but_o one_o observation_n in_o 24_o hour_n beside_o the_o error_n of_o account_v her_o motion_n in_o our_o first_o meridian_n there_o be_v no_o calculation_n as_o yet_o so_o exact_a in_o any_o almanac_n or_o ephemeris_fw-la that_o tell_v we_o the_o true_a time_n of_o the_o moon_n sothe_v in_o any_o meridian_n without_o error_n mr._n newton_n write_v that_o from_o the_o error_n of_o one_o minute_n of_o a_o hour_n in_o the_o moon_n motion_n from_o the_o sun_n arise_v a_o error_n of_o 7°_n 12′_n in_o the_o longitude_n of_o the_o place_n propound_v and_o in_o the_o motion_n of_o the_o same_o moon_n from_o any_o fix_a star_n rise_v a_o error_n of_o 6°_n 48′_n and_o moreover_o he_o say_v it_o be_v evident_a that_o if_o the_o error_n of_o both_o place_n be_v not_o of_o the_o same_o denomination_n and_o lesser_a than_o one_o minute_n of_o time_n the_o error_n of_o longitude_n can_v be_v less_o than_o then_o 13°_n etc._n etc._n the_o moon_n mean_a motion_n be_v but_o 13°_n 10′_n 35″_n be_v little_a in_o proportion_n to_o 360°_n therefore_o the_o two_o objection_n be_v very_o considerable_a however_o as_o i_o be_o a_o favourer_n of_o the_o longitude_n by_o the_o moon_n motion_n i_o will_v undertake_v to_o solve_v one_o objection_n and_o propose_v how_o the_o other_o may_v be_v solve_v then_o as_o to_o the_o first_o i_o answer_v that_o i_o know_v how_o to_o find_v the_o true_a time_n when_o we_o can_v have_v reasonable_a observation_n of_o the_o day_n or_o night_n to_o one_o or_o two_o second_n of_o time_n and_o if_o i_o err_v 4_o or_o 5_o second_o it_o matter_n not_o other_o may_v observe_v as_o true_a as_o i_o if_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 think_v what_o my_o country_n will_v be_v please_v to_o say_v of_o i_o if_o they_o call_v i_o astrologer_n i_o give_v very_o little_a credit_n to_o judicial_a astrology_n nor_o do_v i_o profess_v any_o such_o deceitful_a lie_a art_n if_o maggoty_n it_o be_v a_o expression_n for_o fool_n and_o their_o bolt_n be_v soon_o shoot_v if_o star-gazer_n i_o answer_v a_o star-gazer_n be_v better_a than_o a_o booby_n some_o may_v envy_n i_o some_o laugh_v and_o scoff_v at_o i_o a_o common_a method_n to_o solve_v their_o own_o ignorance_n other_o mock_n and_o ridicule_n i_o so_o our_o predecessor_n do_v at_o columbus_n when_o he_o come_v hither_o to_o offer_v they_o the_o discovery_n of_o the_o world_n and_o ought_v not_o they_o to_o have_v be_v record_v for_o f_o s_o as_o some_o say_v the_o pope_n be_v that_o anathematise_v the_o bishop_n of_o scrasburg_n for_o write_v of_o antipode_n but_o now_o i_o think_v on_o it_o i_o have_v a_o reserve_v which_o they_o be_v not_o like_a to_o know_v yet_o a_o 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 will_v be_v very_o chargeable_a one_o of_o they_o may_v prove_v far_o more_o chargeable_a than_o the_o other_o and_o yet_o when_o it_o become_v common_a it_o may_v be_v sell_v at_o a_o low_a price_n i_o judge_v under_o fifty_o shilling_n yet_o before_o the_o instrument_n can_v be_v bring_v to_o such_o perfection_n as_o to_o show_v two_o or_o three_o example_n may_v cost_v several_a hundred_o of_o pound_n and_o for_o aught_o i_o know_v take_v up_o most_o part_n of_o a_o year_n to_o accomplish_v they_o it_o be_v a_o instrument_n that_o must_v be_v true_o cut_v and_o polish_v a_o small_a matter_n of_o a_o false_a sweep_n or_o stroke_n may_v quite_o spoil_v it_o and_o make_v it_o good_a for_o little_a or_o nothing_o therefore_o one_o hundred_o of_o they_o may_v happen_v to_o be_v spoil_v before_o we_o can_v get_v the_o right_a art_n of_o make_v they_o neither_o of_o they_o will_v sudden_o be_v fit_a for_o seman_n practice_n because_o the_o natural_a motion_n that_o one_o of_o they_o be_v to_o show_v be_v at_o this_o present_a writing_n i_o believe_v unknown_a to_o the_o world_n therefore_o reasonable_a time_n be_v require_v to_o calculate_v the_o theory_n of_o those_o motion_n i_o will_v give_v you_o a_o brief_a description_n of_o one_o of_o the_o instrument_n it_o be_v one_o or_o two_o i_o know_v not_o well_o which_o to_o call_v it_o it_o be_v round_o its_o diameter_n about_o 8_o or_o 10_o inch_n may_v be_v a_o good_a size_n it_o be_v not_o altogether_o flat_a nor_o convex_a nor_o concave_a nor_o globular_a it_o contain_v several_a circle_n exact_o sweep_v even_o to_o a_o hair_n breadth_n the_o areas_n of_o each_o circle_n must_v have_v their_o just_a proportion_n but_o have_v no_o visible_a point_n for_o a_o centre_n nor_o be_v the_o circle_n cut_v and_o rake_v in_o its_o surface_n but_o aught_o to_o appear_v above_o it_o it_o have_v no_o straight_a line_n save_v only_o in_o its_o frame_n of_o which_o must_v be_v divide_v into_o 360_o deg._n and_o subdivide_v etc._n etc._n it_o be_v scioptrick_n dioptrick_n catoptrick_n p_o s._n k._n and_o p._n h_n k._n and_o whereas_o most_o secret_n seem_v most_o wonderful_a before_o they_o be_v discover_v this_o instrument_n will_v seem_v most_o wonderful_a when_o the_o best_a description_n be_v give_v of_o it_o and_o when_o put_v to_o common_a use_n to_o give_v a_o true_a and_o perfect_a description_n of_o its_o secret_a property_n like_o the_o loadstone_n may_v puzzle_v the_o oxonian_n sophist_n or_o parisian_a sorbonist_n but_o this_o i_o give_v for_o one_o aphorism_n natura_fw-la nil_fw-la agit_fw-fr frustra_fw-la i_o hope_v it_o may_v answer_v our_o design_n in_o the_o longitude_n nisi_fw-la argentum_fw-la agit_fw-fr frustra_fw-la but_o all_o be_v in_o the_o power_n of_o god_n it_o be_v a_o emblem_n of_o trinity_n trinity_n in_o unity_n and_o unity_n in_o trinity_n indeed_o i_o have_v but_o little_o more_o knowledge_n of_o it_o then_o be_v in_o the_o idea_n of_o my_o brain_n for_o the_o experimental_a part_n be_v most_o want_v but_o the_o world_n may_v believe_v that_o i_o can_v produce_v sound_a principle_n and_o evince_a argument_n for_o my_o opinion_n else_o i_o shall_v not_o have_v make_v it_o so_o public_a delay_n be_v dangerous_a ars_fw-la long_fw-mi vita_fw-la brevis_fw-la but_o if_o it_o please_v god_n i_o shall_v be_v glad_a to_o live_v to_o see_v this_o art_n come_v to_o such_o perfection_n as_o to_o be_v fit_a for_o seman_n practice_n during_o the_o natural_a course_n of_o my_o life_n reader_n believe_v if_o you_o please_v that_o he_o that_o write_v this_o can_v a_o writ_n more_o and_o more_o to_o the_o purpose_n if_o he_o will_v i_o think_v it_o enough_o for_o five_o or_o six_o week_n time_n and_o study_n and_o abundance_n too_o much_o if_o for_o a_o gratuity_n i_o may_v suck_v my_o