samson_n be_v river_n latitude_n 04_o 22_o north._n longitude_n 30_o 28_o east_n inclination_n 22_o 09_o north._n old_a caliber_n latitude_n 04_o 50_o north._n longitude_n 19_o 51_o east_n inclination_n 23_o 09_o north._n new_a caliber_n latitude_n 04_o 40_o north._n longitude_n 18_o 12_o east_n inclination_n 23_o 06_o north._n river_n of_o gamba_n latitude_n 12_o 47_o north._n longitude_n 07_o 41_o west_n inclination_n 37_o 54_o north._n cape_n de_fw-fr verd_fw-mi latitude_n 14_o 25_o north._n longitude_n 12_o 21_o west_n inclination_n 58_o 28_o north._n tangier_n latitude_n 35_o 36_o north._n longitude_n 03_o 35_o west_n inclination_n 62_o 39_o north._n gibraltar_n latitude_n 36_o 40_o north._n longitude_n 03_o 18_o west_n inclination_n 03_o 29_o north._n malago_n latitude_n 36_o 45_o north._n longitude_n 02_o 17_o west_n inclination_n 63_o 33_o north._n alegant_z latitude_n 38_o 20_o north._n longitude_n 01_o 50_o east_n inclination_n 65_o 10_o north._n leagorn_v latitude_n 43_o 28_o north._n longitude_n 12_o 39_o east_n inclination_n 68_o 01_o north._n galipolie_n latitude_n 40_o 08_o north._n longitude_n 21_o 40_o east_n inclination_n 65_o 03_o north._n rome_n latitude_n 41_o 50_o north._n longitude_n 15_o 45_o east_n inclination_n 66_o 43_o north._n naples_n latitude_n 41_o 08_o north._n longitude_n 17_o 27_o east_n inclination_n 66_o 05_o north._n venice_n latitude_n 45_o 37_o north._n longitude_n 17_o 21_o east_n inclination_n 69_o 17_o north._n constantinople_n latitude_n 40_o 56_o north._n longitude_n 35_o 09_o east_n inclination_n 64_o 35_o north._n alexandria_n latitude_n 30_o 40_o north._n longitude_n 36_o 04_o east_n inclination_n 55_o 39_o north._n tunis_n latitude_n 36_o 30_o north._n longitude_n 03_o 54_o east_n inclination_n 63_o 05_o north._n argier_n latitude_n 36_o 40_o north._n longitude_n 05_o 30_o  _fw-fr inclination_n 63_o 14_o north._n middle_n of_o cyprus_n latitude_n 34_o 18_o north._n longitude_n 37_o 45_o  _fw-fr inclination_n 58_o 54_o north._n middle_n of_o candia_n latitude_n 35_o 08_o north._n longitude_n 28_o 32_o east_n inclination_n 60_o 29_o north._n middle_n of_o corsica_n latitude_n 42_o 05_o north._n longitude_n 11_o 43_o east_n inclination_n 67_o 08_o north._n middle_n of_o scisilia_n latitude_n 37_o 42_o north._n longitude_n 16_o 45_o east_n inclination_n 63_o 26_o north._n maiyork_n latitude_n 39_o 38_o north._n longitude_n 05_o 48_o east_n inclination_n 65_o 32_o north._n cales_n latitude_n 36_o 22_o north._n longitude_n 04_o 00_o west_n inclination_n 63_o 16_o north._n lisbon_n latitude_n 39_o 08_o north._n longitude_n 06_o 30_o west_n inclination_n 65_o 28_o north._n cape_n finister_n latitude_n 43_o 10_o north._n longitude_n 08_o 19_o west_n inclination_n 69_o 07_o north._n bordeaux_n latitude_n 45_o 10_o north._n longitude_n 00_o 20_o east_n inclination_n 69_o 26_o north._n rochel_n latitude_n 46_o 17_o north._n longitude_n 00_o 30_o west_n inclination_n 70_o 27_o north._n nants_n latitude_n 47_o 41_o north._n longitude_n 01_o 09_o west_n inclination_n 71_o 27_o north._n jarzey_n latitude_n 49_o 30_o north._n longitude_n 01_o 00_o west_n inclination_n 71_o 34_o north._n garnzey_n latitude_n 49_o 43_o north._n longitude_n 02_o 35_o west_n inclination_n 72_o 41_o north._n calais_n latitude_n 51_o 13_o north._n longitude_n 01_o 52_o east_n inclination_n 73_o 34_o antwerp_n latitude_n 51_o 37_o north._n longitude_n 04_o 37_o east_n inclination_n 73_o 48_o north._n amsterdam_n latitude_n 52_o 40_o north._n longitude_n 04_o 37_o east_n inclination_n 74_o 22_o north._n hamborough_n latitude_n 54_o 04_o north._n longitude_n 08_o 02_o east_n inclination_n 75_o 05_o north._n copenhagen_n latitude_n 56_o 17_o north._n longitude_n 09_o 54_o east_n inclination_n 76_o 18_o north._n elsenore_n latitude_n 56_o 40_o north._n longitude_n 09_o 57_o east_n inclination_n 76_o 33_o north._n gotland_n latitude_n 58_o 20_o north._n longitude_n 15_o 58_o east_n inclination_n 77_o 14_o north._n cape_n blanco_n in_o new-found_a land_n latitude_n 51_o 32_o north._n longitude_n 51_o 00_o west_n inclination_n 72_o 24_o north._n trinity_n bay_n latitude_n 55_o 54_o north._n longitude_n 54_o 28_o west_n inclination_n 70_o 32_o north._n in_o the_o sound_n shorham_n latitude_n 58_o 58_o north._n longitude_n 21_o 06_o east_n inclination_n 77_o 48_o  _fw-fr stockholm_n latitude_n 58_o 49_o north._n longitude_n 14_o 42_o east_n inclination_n 77_o 42_o north._n scarlet_a island_n latitude_n 56_o 40_o north._n longitude_n 10_o 38_o east_n inclination_n 76_o 31_o north._n long_o sound_v latitude_n 58_o 07_o north._n longitude_n 07_o 30_o east_n inclination_n 77_o 28_o north._n naze_n of_o norway_n latitude_n 58_o 00_o north._n longitude_n 05_o 00_o east_n inclination_n 77_o 29_o north._n cat_n ness_n latitude_n 61_o 54_o north._n longitude_n 02_o 42_o east_n inclination_n 79_o 43_o north._n north_n cape_n of_o finmark_n latitude_n 71_o 22_o north._n longitude_n 16_o 42_o east_n inclination_n 84_o 09_o north._n archangel_n latitude_n 63_o 22_o north._n longitude_n 21_o 22_o east_n inclination_n 79_o 27_o north._n cape_n blanco_n in_o new-found_a land_n latitude_n 37_o 32_o north._n longitude_n 39_o 36_o west_n inclination_n 72_o 24_o north._n trinity_n bay_n latitude_n 48_o 55_o north._n longitude_n 54_o 28_o west_n inclination_n 70_o 32_o north._n cape_n razo_n latitude_n 46_o 28_o north._n longitude_n 51_o 54_o west_n inclination_n 69_o 05_o north._n cape_n cod_n in_o new_a england_n latitude_n 42_o 20_o north._n longitude_n 66_o 56_o west_n inclination_n 64_o 44_o north._n boston_n latitude_n 43_o 38_o north._n longitude_n 70_o 00_o west_n inclination_n 64_o 57_o north._n new_a plymouth_n latitude_n 42_o 08_o north._n longitude_n 68_o 01_o west_n inclination_n 64_o 32_o north._n cape_n charles_n in_o virginia_n latitude_n 37_o 39_o north._n longitude_n 70_o 00_o west_n inclination_n 60_o 00_o north._n trinity_n harbour_n latitude_n 36_o 00_o north._n longitude_n 68_o 30_o west_n inclination_n 59_o 26_o north._n bermuda_n latitude_n 23_o 20_o north._n longitude_n 54_o 36_o west_n inclination_n 57_o 41_o north._n new_a island_n of_o providence_n latitude_n 25_o 25_o north._n longitude_n 70_o 00_o west_n inclination_n 48_o 39_o north._n hispaniola_n latitude_n 18_o 50_o north._n longitude_n 70_o 22_o west_n inclination_n 40_o 23_o north._n cuba_n latitude_n 22_o 00_o north._n longitude_n 81_o 20_o west_n inclination_n 24_o 37_o north._n barbados_n latitude_n 13_o 10_o north._n longitude_n 58_o 24_o west_n inclination_n 34_o 21_o north._n jamaica_n latitude_n 18_o 15_o north._n longitude_n 78_o 21_o west_n inclination_n 38_o 04_o north._n suranam_n latitude_n 05_o 55_o north._n longitude_n 55_o 16_o west_n inclination_n 23_o 01_o north._n in_o ireland_n  _fw-fr  _fw-fr d._n m._n  _fw-fr dublin_n latitude_n 53_o 32_o north._n longitude_n 07_o 20_o west_n inclination_n 75_o 08_o north._n wexford_n latitude_n 52_o 33_o north._n longitude_n 07_o 08_o west_n inclination_n 74_o 31_o north._n waterford_n latitude_n 52_o 30_o north._n longitude_n 07_o 48_o west_n inclination_n 74_o 30_o north._n cork_n latitude_n 51_o 10_o north._n longitude_n 08_o 20_o west_n inclination_n 73_o 32_o north._n king_n sail_n latitude_n 51_o 52_o north._n longitude_n 08_o 32_o west_n inclination_n 74_o 07_o north._n old_a head_n of_o king_n sail_n latitude_n 51_o 40_o north._n longitude_n 08_o 38_o west_n inclination_n 74_o 00_o north._n the_o blasket_n latitude_n 52_o 15_o north._n longitude_n 11_o 35_o west_n inclination_n 74_o 22_o north._n lymbrick_n latitude_n 53_o 04_o north._n longitude_n 10_o 15_o west_n inclination_n 74_o 51_o north._n galloway_n latitude_n 53_o 40_o north._n longitude_n 10_o 40_o west_n inclination_n 75_o 13_o north._n in_o scotland_n  _fw-fr  _fw-fr d._n m._n  _fw-fr leith_n latitude_n 56_o 03_o north._n longitude_n 03_o 15_o west_n inclination_n 76_o 33_o north._n aberdeen_n latitude_n 57_o 42_o north._n longitude_n 02_o 55_o west_n inclination_n 77_o 18_o north._n isle_n of_o orkney_n latitude_n 58_o 50_o north._n longitude_n 03_o 22_o west_n inclination_n 77_o 35_o north._n in_o england_n  _fw-fr  _fw-fr d._n m._n  _fw-fr barwick_n latitude_n 55_o 49_o north._n longitude_n 02_o 45_o west_n inclination_n 76_o 24_o north._n westchester_n latitude_n 53_o 37_o north._n longitude_n 04_o 20_o west_n inclination_n 75_o 09_o north._n newcastle_n latitude_n 54_o 58_o north._n longitude_n 02_o 10_o west_n inclination_n 75_o 53_o north._n gloucester_n latitude_n 52_o 03_o north._n longitude_n 02_o 45_o west_n inclination_n 74_o 15_o north._n bristol_n latitude_n 51_o 32_o north._n longitude_n 02_o 50_o west_n inclination_n 73_o 51_o north._n the_o land_n end_n latitude_n 50_o 20_o north._n longitude_n 05_o 58_o west_n inclination_n 73_o 10_o north._n the_o lizard_n latitude_n 50_o 10_o north._n longitude_n 05_o 24_o west_n inclination_n 73_o 02_o north._n plymouth_n latitude_n 50_o 36_o north._n longitude_n 04_o 33_o west_n inclination_n 73_o 17_o north._n portsmouth_n latitude_n 51_o 08_o north._n longitude_n 01_o 00_o west_n inclination_n 72_o 52_o north._n dover_n latitude_n 51_o 25_o north._n longitude_n 01_o 00_o east_n inclination_n 73_o 41_o north._n london_n latitude_n 51_o 32_o north._n longitude_n 00_o 00_o  _fw-fr inclination_n 73_o 47_o north._n to_o prove_v the_o earth_n the_o centure_z of_o the_o starry_a heaven_n and_o not_o to_o have_v any_o inclination_n towards_o the_o pole_n as_o copernicus_n will_v have_v it_o the_o earth_n by_o observation_n keep_v its_o parallel_n with_o the_o starry_a heaven_n all_o the_o year_n without_o alteration_n for_o by_o observation_n that_o star_n that_o be_v in_o the_o equinoctial_a part_n of_o the_o heaven_n be_v always_o in_o the_o equinoctial_a part_n of_o the_o earth_n so_o likewise_o take_v all_o the_o star_n in_o their_o s_o everal_a parallel_n to_o the_o pole_n from_o the_o equinoctial_a and_o you_o will_v find_v they_o keep_v their_o parallel_n with_o the_o earth_n for_o ever_o we_o need_v not_o go_v to_o the_o equinoctial_a part_n of_o the_o earth_n to_o prove_v the_o earth_n to_o keep_v her_o parallel_n with_o the_o equinoctial_a part_n of_o the_o starry_a heaven_n for_o observe_v in_o this_o parallel_n or_o latitude_n of_o london_n 51_o d._n 30_o m._n the_o amplitude_n of_o any_o star_n in_o the_o equinoctial_a either_o upon_o his_o rise_n or_o set_v and_o you_o shall_v find_v his_o amplitude_n to_o be_v east_n or_o west_n of_o you_o for_o ever_o in_o this_o parallel_n or_o any_o other_o likewise_o observe_v the_o meridian_n altitude_n of_o any_o star_n in_o the_o equinoctial_a in_o this_o parallel_n or_o latitude_n 51_o d._n 30_o m._n and_o you_o shall_v find_v his_o meridian_n altitude_n to_o be_v the_o elevation_n of_o the_o equinoctial_a for_o ever_o in_o this_o parallel_n or_o latitude_n and_o by_o daily_a observation_n we_o find_v the_o sun_n to_o alter_v his_o amplitude_n and_o meridian_n altitude_n and_o parallel_n with_o the_o starry_a heaven_n and_o earth_n and_o we_o find_v the_o starry_a heaven_n to_o keep_v his_o parallel_n with_o the_o earth_n always_o in_o regard_n the_o star_n keep_v their_o meridian_n altitude_n and_o amplitude_n with_o the_o earth_n without_o alteration_n but_o if_o we_o shall_v admit_v the_o sun_n the_o centre_n of_o the_o starry_a heaven_n and_o the_o earth_n shall_v have_v her_o declination_n towards_o her_o pole_n then_o the_o sun_n must_v be_v always_o in_o the_o equinoctial_a part_n of_o the_o starry_a heaven_n and_o the_o sun_n must_v have_v the_o same_o amplitude_n and_o meridian_n altitude_n with_o the_o star_n in_o the_o equinoctial_a in_o all_o parallel_n and_o then_o the_o sun_n and_o all_o the_o star_n in_o heaven_n shall_v have_v a_o daily_a calculation_n of_o the_o declination_n of_o the_o earth_n as_o the_o earth_n shall_v alter_v her_o parallel_n by_o incline_v or_o decline_a towards_o her_o pole_n and_o it_o be_v prove_v by_o observation_n that_o the_o equinoctial_a part_n of_o the_o starry_a heaven_n be_v always_o in_o the_o equinoctial_a part_n of_o the_o earth_n for_o the_o meridian_n altitude_n of_o the_o star_n in_o the_o equinoctial_a be_v the_o elevation_n of_o the_o equinoctial_a in_o all_o parallel_n now_o there_o be_v a_o necessity_n that_o the_o declination_n of_o the_o sun_n shall_v be_v calculate_v for_o every_o day_n in_o the_o year_n in_o regard_n of_o his_o declination_n towards_o his_o pole_n 23_o d._n 30_o m._n which_o be_v the_o cause_n the_o sun_n alter_v his_o parallel_n and_o amplitude_n and_o meridian_n altitude_n every_o day_n but_o for_o the_o starry_a heaven_n its_o declination_n or_o distance_n from_o the_o equinoctial_a be_v the_o same_o for_o ever_o and_o keep_v it_o parallel_n with_o the_o earth_n another_o example_n from_o the_o sun_n to_o prove_v the_o earth_n the_o centre_n of_o the_o starry_a heaven_n most_o mathematician_n hold_v that_o when_o the_o sun_n be_v depress_v below_o the_o horizon_n 15_o degree_n that_o twylight_n appear_v upon_o the_o horizon_n the_o
the_o angle_n at_o the_o pole_n of_o the_o earth_n n_o s_o l_o which_o shall_v be_v the_o difference_n of_o longitude_n but_o since_o mr._n bond_n make_v london_n the_o first_o meridian_n from_o whence_o longitude_n shall_v take_v its_o beginning_n as_o in_o the_o question_n before_o ballasore_n shall_v have_v longitude_n 125_o d._n 00_o m._n east_n of_o the_o meridian_n of_o london_n let_v the_o table_n of_o longitude_n say_v what_o it_o will_v for_o the_o table_n of_o longitude_n be_v no_o other_o than_o the_o difference_n of_o meridian_n by_o journal_n but_o if_o i_o find_v the_o difference_n of_o longitude_n by_o the_o magnetic_a co-latitude_n and_o the_o distance_n of_o the_o magnetic_a pole_n and_o the_o co-latitude_n of_o the_o place_n it_o shall_v correct_v what_o have_v be_v lay_v down_o by_o journal_n for_o i_o do_v not_o take_v what_o have_v be_v lay_v down_o by_o journal_n to_o be_v true_a in_o regard_n there_o be_v no_o certain_a observation_n to_o lead_v we_o to_o it_o for_o if_o london_n be_v not_o the_o meridian_n from_o whence_o the_o magnetic_a co-latitude_n take_v its_o beginning_n towards_o the_o magnetic_a pole_n then_o the_o distance_n of_o the_o magnetic_a meridian_n from_o the_o meridian_n of_o london_n can_v give_v the_o difference_n of_o meridian_n mr._n bond_n way_n to_o prove_v what_o the_o magnetic_a meridian_n be_v go_v to_o the_o eastward_n be_v thus_o first_o he_o know_v his_o magnetic_a co-latitude_n at_o ballasore_n and_o the_o co-latitude_n of_o the_o place_n and_o the_o distance_n of_o the_o magnetic_a pole_n and_o so_o find_v the_o distance_n of_o the_o magnetic_a meridian_n from_o the_o meridian_n of_o london_n 125_o d._n 00_o m._n so_o then_o find_v 125_o d._n 00_o m._n do_v not_o answer_v the_o longitude_n by_o journal_n he_o proceed_v to_o find_v what_o the_o magnetic_a meridian_n be_v go_v to_o the_o eastward_n thus_o he_o give_v the_o co-latitude_n and_o the_o distance_n of_o the_o magnetic_a pole_n and_o the_o longitude_n by_o journal_n 119_o d._n 12_o m._n and_o to_o this_o he_o add_v 6_o d._n which_o make_v 125_o d._n 12_o m._n the_o distance_n of_o the_o magnetic_a meridian_n to_o find_v the_o magnetic_a co-latitude_n this_o be_v but_o turn_v the_o question_n so_o that_o you_o must_v know_v your_o longitude_n by_o journal_n 119_o d._n 12_o m._n before_o you_o can_v find_v what_o the_o magnetic_a meridian_n be_v go_v to_o the_o eastward_n mr._n bond_n way_n be_v thus_o subtract_v 119_o d._n 12_o m._n the_o longitude_n by_o journal_n from_o 125_o d._n 12_o m._n the_o distance_n of_o the_o magnetic_a meridian_n from_o the_o meridian_n of_o london_n and_o you_o have_v 6_o d._n 00_o m._n that_o the_o magnetic_a meridian_n be_v go_v to_o the_o eastward_n so_o by_o this_o mr._n bond_n produce_v the_o longitude_n by_o journal_n to_o correct_v the_o distance_n of_o the_o magnetic_a meridian_n from_o the_o meridian_n of_o london_n mr._n bond_n must_v know_v that_o longitude_n by_o journal_n in_o all_o the_o world_n be_v lay_v down_o by_o judgement_n and_o then_o how_o rare_a be_v it_o for_o any_o one_o man_n who_o have_v be_v at_o any_o one_o port_n in_o the_o world_n somewhat_o remote_a that_o have_v find_v it_o in_o the_o very_a same_o meridian_n in_o regard_n of_o the_o many_o accident_n that_o attend_v the_o practical_a part_n of_o the_o mathematics_n at_o sea_n and_o then_o how_o be_v it_o possible_a to_o know_v the_o longitude_n i_o be_o in_o by_o the_o distance_n of_o the_o magnetic_a meridian_n if_o i_o must_v first_o know_v the_o longitude_n by_o journal_n which_o i_o can_v prove_v to_o be_v certain_a and_o so_o correct_v the_o observation_n by_o it_o so_o that_o by_o this_o way_n of_o practice_n the_o inclinatory_a needle_n be_v of_o no_o use_n for_o the_o magnetic_a latitude_n with_o the_o other_o proportion_n before_o shall_v give_v the_o longitude_n without_o the_o help_n of_o a_o journal_n to_o correct_v his_o observation_n the_o next_o thing_n we_o be_v further_a to_o consider_v of_o be_v how_o mr._n bond_n find_v what_o the_o magnetic_a meridian_n be_v go_v to_o the_o eastward_n of_o ballasore_n we_o may_v observe_v from_o mr._n bond_n own_o sphere_n and_o word_n let_v the_o angle_n w_n p_o n_n be_v 6_o d._n 00_o m._n but_o this_o angle_n w_n p_o n_n be_v not_o to_o be_v pass_v by_o with_o a_o let_v it_o be_v so_o but_o it_o must_v be_v find_v in_o proportion_n to_o the_o several_a side_n and_o angle_n give_v in_o the_o sphere_n first_o i_o shall_v give_v the_o co-latitude_n of_o ballasore_n 67_o d._n 30_o m._n p_o b_o and_o the_o angle_n b_o p_o n_o 125_o d._n 12_o m._n and_o the_o magnetic_a co-latitude_n 72_o d._n 33_o m._n to_o find_v the_o angle_n p_o n_o b._n now_o to_o find_v the_o angle_n p_o n_o b._n fig_n 4_o  _fw-fr  _fw-fr  _fw-fr d._n m._n as_o the_o sine_fw-la of_o the_o side_n nb_n 997953_o 72_o 33_o be_v to_o the_o sine_fw-la of_o the_o angle_n n_o p_o b_o 991229_o 54_o 48_o so_o be_v the_o sine_fw-la of_o the_o side_n p_o b_o 996561_o 67_o 30_o to_o the_o sine_fw-la of_o the_o angle_n p_o n_o b_o 989837_o 52_o 19_o so_o the_o angle_n p_o n_o b_o be_v find_v to_o be_v 52_o d._n 19_o m._n now_o let_v fall_v the_o perpendicular_a in_o the_o forego_n angle_n as_o p_o w_n so_o with_o the_o angle_n w_n n_o p_o 52_o d._n 19_o m._n and_o the_o side_n p_o n_z 8_o d._n 30_o m._n we_o be_v to_o find_v the_o angle_n w_n p_o n_n which_o mr._n bond_n say_v let_v it_o be_v 6_o d._n 00_o m._n the_o work_n follow_v fig_n 5._o  _fw-fr  _fw-fr d._n m._n  _fw-fr as_o the_o sine_fw-la of_o p_o q_o 81_o 30_o 999520_o be_v to_o the_o tangent_fw-la of_o q_n t_o 37_o 41_o 988785_o so_o be_v the_o radius_fw-la p_o a_o 90_o 00_o 1000000_o to_o the_o tangent_fw-la of_o a._n g._n 37_o 59_o 989265_o so_o that_o a._n g._n 37_o d._n 59_o m._n be_v equal_a to_o the_o angle_n a._n p._n g._n or_o to_o the_o angle_n w_n p_o n_n 37_o d._n 59_o m._n demand_v now_o in_o the_o forego_n angle_n subtract_v the_o angle_n w_n p_o n_n 37_o d._n 59_o m._n out_o of_o the_o angle_n n_o p_o b_o 125_o d._n 12_o m._n and_o you_o have_v the_o angle_n w_n p_o b_o 87_o d._n 13_o m._n and_o from_o hence_o it_o may_v be_v observe_v that_o the_o angle_n w_n p_o n_n be_v 37_o d._n 59_o m._n and_o not_o 6_o d._n 00_o m._n that_o the_o magnetic_a meridian_n be_v go_v to_o the_o eastward_o and_o the_o angle_n w_n p_o b_o be_v 87_o d._n 13_o m._n and_o not_o 119_o d._n 12_o m._n by_o journal_n so_o that_o mr._n bond_n have_v commit_v a_o gross_a error_n in_o offer_v to_o beg_v the_o question_n let_v the_o angle_n w._n p._n n._n be_v 6_o d._n 00_o m._n and_o the_o angle_n w_n p_o b_o be_v 119_o d._n 12_o m._n when_o it_o be_v contrary_a to_o all_o demonstration_n and_o practice_n in_o the_o mathematics_n as_o it_o be_v prove_v in_o the_o forego_n question_n fig_n 6._o the_o sphere_n on_o the_o other_o side_n be_v according_a to_o mr._n bond_n own_o demonstration_n to_o prove_v the_o forego_n work_n here_o place_v the_o six_o figure_n and_o before_o i_o proceed_v any_o further_a i_o shall_v make_v one_o observation_n between_o the_o meridian_n of_o london_n and_o bourdeaux_n bourdeaux_n be_v but_o 20_o minute_n eastward_n of_o the_o meridian_n of_o london_n see_v mr._n bond_n table_n of_o longitude_n the_o magnetical_a latitude_n 69_o d._n 26_o m._n bourdeaux_n latitude_n n°_n 45_o d._n 16_o m._n the_o magnetic_a co-latitude_n 36_o d._n 54_o m._n the_o distance_n of_o the_o magnetic_a pole_n from_o the_o pole_n of_o the_o earth_n 8_o d._n 30_o m._n to_o find_v the_o angle_n of_o the_o pole_n of_o the_o earth_n the_o demonstration_n of_o this_o sphere_n upon_o the_o globe_n be_v according_a to_o my_o former_a here_o place_v the_o seven_o figure_n fig_n 7_o and_o from_o hence_o you_o may_v observe_v that_o the_o magnetical_a needle_n or_o inclinatory_a needle_n can_v give_v the_o magnetical_a latitude_n in_o proportion_n to_o any_o one_o meridian_n of_o the_o earth_n in_o answer_n to_o mr._n bond_n be_v question_n upon_o cape_n charles_n compare_v it_o with_o the_o new_a isle_n of_o providence_n in_o the_o same_o meridian_n first_o of_o cape_n charles_n latitude_n 37_o d._n 39_o m._n the_o distance_n of_o the_o magnetic_a pole_n from_o the_o pole_n of_o the_o earth_n 8_o d._n 30_o m._n the_o magnetic_a co-latitude_n 49_o d._n 18_o m._n to_o find_v how_o far_o the_o magnetic_a meridian_n be_v east_n and_o west_n of_o the_o meridian_n of_o london_n the_o demonstration_n of_o this_o question_n upon_o the_o globe_n be_v the_o same_o way_n as_o in_o the_o first_o question_n here_o place_v the_o eight_o figure_n m_o q_o n_o o_o
be_v the_o meridian_n of_o the_o magnetic_a pole_n and_o s_o n_n be_v the_o distance_n of_o the_o magnetic_a pole_n from_o the_o pole_n of_o the_o earth_n 8_o d._n 30_o m._n and_o l_o s_o be_v the_o co-latitude_n 52_o d._n 21_o m._n and_o l_o n_n be_v the_o magnetic_a co-latitude_n 49_o d._n 18_o m._n the_o work_n follow_v fig_n 8._o  _fw-fr d._n m._n  _fw-fr n_n l_o 49_o 18_o  _fw-fr s_o n_n the_o residuum_fw-la sine_fw-la of_o 08_o 30_o 083029_o l_o s_o the_fw-fr residuum_fw-la sine_fw-la of_o 52_o 21_o 010140_o the_o sum_n of_o the_o side_n 110_o 09_o  _fw-fr the_o sine_fw-la of_o the_o half_a sum_n 055_o 04½_n 991371_o the_o side_n opposite_a to_o the_o angle_n subtract_v 49_o 18_o  _fw-fr the_o sine_fw-la of_o the_o difference_n 05_o 46_o 900206_o the_o sum_n of_o all_o  _fw-fr  _fw-fr 1984746_o the_o sine_fw-la of_o the_o half_a sum_n 57_o 02_o 992373_o the_o compliment_n of_o 57_o d._n 02_o m._n be_v 32_o d._n 58_o m._n the_o double_a thereof_o be_v 65_o d._n 56_o m._n the_o angle_n n_o s_o l._n so_o the_o angle_n l_o s_o n_o be_v find_v 65_o d._n 56_o m._n that_o the_o magnetic_a meridian_n be_v to_o the_o westward_n of_o the_o lizard_n who_o compliment_n be_v the_o angle_n l_o s_o c_o 114_o d._n 04_o m._n that_o the_o magnetic_a meridian_n be_v to_o the_o eastward_o of_o the_o meridian_n of_o the_o lizard_n but_o i_o observe_v the_o co-latitude_n of_o the_o magnetic_a pole_n in_o its_o proportion_n do_v not_o make_v out_o the_o longitude_n in_o mr._n bond_n table_n to_o the_o meridian_n of_o london_n by_o 04_o d._n 4_o m._n but_o i_o suppose_v mr._n bond_n do_v make_v choice_n of_o the_o meridian_n of_o the_o lizard_n to_o be_v the_o meridian_n in_o propotion_n to_o the_o magnetical_a co-latitude_n at_o cape_n charles_n in_o regard_n the_o magnetical_a co-latitude_n at_o cape_n charles_n will_v not_o give_v the_o magnetical_a meridian_n in_o proportion_n to_o the_o meridian_n of_o london_n and_o here_o we_o be_v to_o observe_v if_o the_o magnetical_a co-latitude_n with_o the_o other_o proportion_n in_o one_o and_o the_o same_o meridian_n of_o the_o earth_n will_v not_o give_v the_o fame_n angle_n at_o the_o pole_n in_o all_o parallel_n that_o across_o that_o meridian_n than_o the_o inclinatory_a needle_n can_v perform_v the_o work_n of_o find_v the_o longitude_n in_o regard_n you_o can_v tell_v where_o to_o find_v the_o magnetical_a meridian_n in_o proportion_n to_o any_o one_o meridian_n of_o the_o earth_n now_o we_o be_v to_o prove_v that_o the_o angle_n at_o the_o pole_n do_v alter_v in_o one_o and_o the_o same_o meridian_n of_o the_o earth_n from_o mr._n bond_n observation_n by_o the_o inclinatory_a needle_n when_o according_a to_o truth_n every_o meridian_n keep_v its_o longitude_n from_o the_o pole_n in_o all_o parallel_n cape_n charles_n and_o the_o new_a island_n of_o providence_n be_v both_o under_o one_o and_o the_o same_o meridian_n see_v mr._n bond_n table_n of_o longitude_n 70_o d._n 00_o m._n westward_o of_o the_o meridian_n of_o london_n now_o suppose_v i_o be_v at_o the_o new_a island_n of_o providence_n and_o shall_v observe_v and_o find_v it_o in_o the_o latitude_n of_o 25_o d._n 25_o m._n n°_n and_o shall_v find_v the_o inclination_n of_o the_o inclinatory_a needle_n 48_o d._n 39_o m._n and_o in_o the_o caroline_n table_n the_o magnetic_a co-latitude_n 60_o d._n 24_o m._n and_o the_o magnetic_a pole_n distant_a from_o the_o pole_n of_o the_o earth_n 8_o d._n 30_o m._n to_o find_v the_o angle_n at_o the_o pole_n of_o the_o earth_n l_o s_o n._n fig_n 9_o  _fw-fr d._n m._n  _fw-fr l_o n_o 60_o 24_o  _fw-fr s_o l_o the_o residuum_fw-la sine_fw-la of_o 64_o 35_o 004421_o n_n s_n the_o residuum_fw-la sine_fw-la of_o 08_o 30_o 083029_o the_o sum_n of_o the_o side_n 133_o 29_o  _fw-fr the_o sine_fw-la of_o the_o half_a sum_n 66_o 44½_n 996316_o the_o side_n opposite_a to_o the_o angle_n subtract_v 60_o 24_o  _fw-fr the_o sine_fw-la of_o the_o difference_n 06_o 20½_n 904264_o the_o sum_n  _fw-fr  _fw-fr 1988028_o the_o sine_fw-la of_o the_o half_a sum_n 60_o 36_o 994014_o the_o compliment_n of_o 60_o d._n 36_o m._n be_v 29_o d._n 24_o m._n the_o double_a thereof_o be_v 58_o d._n 48_o m._n for_o the_o angle_n at_o the_o pole_n of_o the_o earth_n l_o s_o n._n now_o subtract_v 58_o d._n 48_o m._n the_o angle_n at_o the_o pole_n that_o the_o magnetic_a meridian_n of_o new_a providence_n make_v with_o the_o meridian_n of_o the_o lizard_n from_o 65_o d._n 56_o m._n the_o angle_n at_o the_o pole_n that_o the_o magnetical_a meridian_n of_o cape_n charles_n make_v with_o the_o meridian_n of_o the_o lizard_n and_o you_o have_v 07_o d._n 08_o m._n that_o the_o magnetical_a meridian_n or_o angles_n at_o the_o pole_n do_v differ_v in_o the_o same_o meridian_n of_o cape_n charles_n when_o according_a to_o truth_n every_o meridian_n keep_v its_o longitude_n from_o the_o pole_n of_o the_o earth_n in_o all_o parallel_n so_o that_o the_o magnetical_a co-latitude_n under_o one_o and_o the_o same_o meridian_n of_o the_o earth_n do_v alter_v the_o angle_n at_o the_o pole_n and_o then_o the_o magnetic_a co-latitude_n under_o one_o and_o the_o same_o meridian_n of_o the_o earth_n be_v not_o in_o proportion_n to_o the_o meridian_n of_o the_o lizard_n or_o any_o certain_a meridian_n of_o the_o earth_n another_o observation_n between_o london_n and_o amsterdam_n compare_v it_o with_o antwerp_n be_v in_o the_o same_o meridian_n of_o amsterdam_n see_v mr._n bond_n table_n of_o longitude_n 4._o d._n 37_o m._n eastward_o of_o the_o meridian_n of_o london_n amsterdam_n latitude_n 52_o d._n 40_o m._n the_o magnetic_a latitude_n 74_o d._n 22_o m._n and_o in_o the_o caroline_n table_n the_o magnetic_a co-latitude_n be_v 29_o d._n 16_o m._n and_o the_o distance_n of_o the_o magnetic_a pole_n from_o the_o pole_n of_o the_o earth_n 8_o d._n 30_o m._n to_o find_v the_o angle_n of_o the_o pole_n of_o the_o earth_n here_o place_v the_o ten_o figure_n l_o s_o the_o co-latitude_n of_o amsterdam_n and_o n_n l_o the_o magnetic_a colatitude_n and_o s_o n_n be_v the_o distance_n of_o the_o magnetic_a pole_n from_o the_o pole_n of_o the_o earth_n fig_n 10_o  _fw-fr d._n m._n  _fw-fr l_o n_o 29_o 16_o  _fw-fr s_o n_n the_o residuum_fw-la sine_fw-la 08_o 30_o 083029_o s_n l_o the_o residuum_fw-la sine_fw-la 37_o 20_o 021720_o the_o sum_n of_o the_o side_n 75_o 06_o  _fw-fr the_o sine_fw-la the_o half_a sum_n 37_o 33_o 978494_o the_o side_n of_o opposite_a subtract_v 29_o 16_o  _fw-fr the_o sine_fw-la of_o the_o difference_n 08_o 17_o 915856_o the_o sum_n  _fw-fr  _fw-fr 1999099_o the_o sine_fw-la of_o the_o half_a sum_n 81_o 45_o 999549½_n the_o compliment_n of_o 81_o d._n 45_o m._n be_v 8._o d._n 15_o m._n the_o double_a thereof_o be_v 16_o d._n 30_o m._n for_o the_o angle_n at_o the_o pole_n of_o the_o earth_n and_o we_o be_v further_a to_o prove_v that_o the_o inclination_n of_o the_o inclinatory_a needle_n with_o his_o co-latitude_n at_o amsterdam_n and_o antwerp_n do_v alter_v the_o angle_n at_o the_o pole_n although_o these_o two_o place_n be_v under_o one_o and_o the_o same_o meridian_n of_o the_o earth_n when_o according_a unto_o truth_n the_o angle_n at_o the_o pole_n of_o the_o earth_n shall_v be_v the_o same_o when_o you_o be_v under_o one_o and_o the_o same_o meridian_n of_o the_o earth_n antwerp_n latitude_n 51_o d._n 37_o m._n n°_n the_o magnetic_a latitude_n or_o inclination_n 73_o d._n 48_o m._n n°_n the_o magnetic_a co-latitude_n in_o the_o caroline_n table_n 30_o d._n 09_o m._n the_o distance_n of_o the_o magnetic_a pole_n from_o the_o pole_n of_o the_o earth_n 08_o d._n 30_o m._n to_o find_v the_o angle_n at_o the_o pole_n of_o the_o earth_n fig_n 11._o  _fw-fr d._n m._n  _fw-fr l_o n_o 30_o 09_o  _fw-fr s_o n_n the_o residuum_fw-la sine_fw-la 38_o 23_o 020696_o s_n l_o the_o residuum_fw-la sine_fw-la 08_o 30_o 083029_o the_o sum_n of_o the_o side_n 77_o 02_o  _fw-fr the_o sine_fw-la of_o the_o half_a sum_n 38_o 31_o 979430_o the_o side_n opposite_a subtract_v 30_o 09_o  _fw-fr the_o sine_fw-la of_o the_o difference_n 08_o 22_o 916288_o the_o sum_n  _fw-fr  _fw-fr 1999443_o the_o sine_fw-la of_o the_o half_a sum_n 83_o 31_o 999721½_n the_o compliment_n of_o 83_o d._n 31_o m._n be_v 6_o d._n 29_o m._n the_o double_a thereof_o be_v 12_o d._n 58_o m._n the_o angle_n at_o the_o pole_n of_o the_o earth_n so_o have_v find_v the_o angle_n at_o the_o pole_n of_o the_o earth_n in_o the_o meridian_n and_o parallel_n of_o antwerp_n to_o be_v 12_o d._n 58_o m._n i_o subtract_v 12_o d._n 58_o m._n the_o angle_n at_o the_o pole_n of_o the_o earth_n from_o the_o angle_n at_o the_o pole_n of_o the_o earth_n in_o the_o