Selected quad for the lemma: hand_n
Text snippets containing the quad
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Corrected Date of Publication (TCP Date of Publication) |
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A35726
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A supplement to the treatise of watch & clock-work called The artificial clock-maker ... by W.D., M.A.
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Derham, W. (William), 1657-1735.
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1700
(1700)
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Wing D1101; ESTC R24890
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15,185
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40
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to_o be_v see_v in_o the_o heaven_n and_o partly_o to_o supply_v the_o place_n of_o table_n or_o calculation_n of_o the_o satellite-eclipse_n which_o it_o may_v do_v for_o a_o little_a while_n but_o it_o must_v not_o long_o be_v trust_v unto_o it_o may_v seem_v foreign_a to_o my_o subject_n to_o show_v how_o the_o longitude_n may_v be_v find_v by_o jupiter_n satellite_n but_o because_o i_o will_v with_o all_o my_o power_n advance_v this_o way_n which_o far_o transcend_v all_o other_o yet_o know_v especial_o that_o of_o the_o log-line_n therefore_o i_o hope_v the_o reader_n will_v excuse_v this_o digression_n the_o way_n to_o find_v the_o longitude_n by_o a_o eclipse_n of_o any_o of_o jupiter_n four_o satellite_n be_v brief_o this_o know_v by_o table_n of_o the_o satellite-eclipse_n suppose_v such_o as_o mr_n flamsteed_o publish_v in_o the_o philos_fw-la transact_v no_o 177_o and_o afterward_o give_v parker_n leave_v to_o publish_v in_o his_o almanac_n know_v i_o say_v the_o time_n when_o a_o eclipse_n happen_v in_o any_o one_o part_n of_o the_o world_n observe_v by_o a_o telescope_n at_o what_o time_n the_o same_o eclipse_n happen_v in_o any_o other_o part_n of_o the_o world_n the_o difference_n of_o time_n give_v the_o difference_n of_o meridian_n thus_o a_o total_a immersion_n 117._o philos_fw-la trans_fw-la dec._n 1685._o no._n 117._o of_o the_o first_o satellite_fw-la be_v observe_v at_o rome_n at_o 10_o h._n 07′_n 53″_n p._n m._n which_o mr_n flamsteed_o note_v at_o 9_o h._n 15′_n 41″_n the_o difference_n be_v 52′_n 12″_n or_o 13_o deg_fw-la 03′_n distant_a from_o the_o meridian_n of_o the_o english_a observatory_n where_o mr_n flamsteed_o observe_v it_o i_o once_o have_v thought_n of_o show_v the_o way_n to_o calculate_v the_o eclipse_n of_o jupiter_n satellite_n and_o to_o make_v table_n thereof_o by_o the_o help_n of_o my_o very_a good_a friend_n mr_n flamsteed_n and_o some_o other_o observation_n but_o consider_v that_o it_o will_v be_v too_o great_a a_o digression_n and_o especial_o that_o monsieur_n cassâ—ni_n have_v very_o ingenious_o and_o well_o do_v it_o for_o the_o first_o i_o shall_v therefore_o refer_v the_o reader_n to_o his_o table_n reduce_v to_o the_o meridian_n and_o style_n of_o london_n by_o that_o very_a judicious_a mathematician_n mr_n halley_n in_o philos_n trans_fw-la no_o 214._o the_o reader_n i_o hope_v will_v pardon_v i_o if_o before_o i_o leave_v this_o digression_n i_o observe_v a_o few_o thing_n which_o may_v be_v of_o use_n not_o only_o in_o the_o calculation_n of_o the_o eclipse_n of_o the_o 3_o outermost_a satellite_n but_o also_o may_v contract_v the_o labour_n of_o calculation_n in_o the_o first_o the_o first_o thing_n to_o be_v observe_v be_v jupiter_n place_n for_o if_o he_o be_v on_o his_o aphelion_n he_o move_v slow_a and_o consequent_o the_o satellite_n make_v their_o return_n to_o he_o somewhat_o soon_o than_o when_o he_o be_v on_o his_o mean_a distance_n and_o perihelion_n by_o mr_n flamsteed_o s_o first_o table_n the_o first_o satellite_fw-la makes_z 13_o revolution_n to_o jupiter_n when_o he_o be_v on_o he_o  _fw-fr day_n h_o ′_o ″_o aphelion_n in_o 23_o 00_o 10_o 30_o mean_a distance_n 23_o 00_o 11_o 48_o perihelion_n 23_o 00_o 13_o 08_o the_o second_o satellite_fw-la make_v 10_o revolution_n when_o jupiter_n be_v on_o his_o  _fw-fr day_n h._n ′_o ″_o aphelion_n in_o 35_o 12_o 55_o 10_o mean-distance_n 35_o 12_o 59_o 00_o perehelion_n 35_o 13_o 03_o 15_o the_o three_o satellite_fw-la make_v 5_o revolution_n when_o jupiter_n be_v on_o his_o  _fw-fr day_n h._n ′_o ″_o aphelion_n in_o 35_o 19_o 50_o 15_o mean-distance_n 35_o 19_o 58_o 00_o perihelion_n 35_o 20_o 06_o 42_o the_o four_o or_o furthermost_o satellite_fw-la make_v 5_o revolution_n to_o jupiter_n in_o his_o  _fw-fr day_n h._n ′_o ″_o aphelion_n in_o 82_o 17_o 42_o 55_o mean-distance_n 83_o 18_o 25_o 15_o perihelion_n 82_o 19_o 12_o 57_o from_o this_o account_n it_o be_v easy_a to_o compute_v in_o what_o time_n one_o revolution_n of_o any_o satellite_fw-la be_v at_o any_o time_n perform_v which_o be_v the_o next_o thing_n to_o be_v observe_v thus_o in_o jupiter_n mean-distance_n the_o revolution_n of_o the_o  _fw-fr day_n h._n ′_o ″_o first_o satellite_fw-la be_v 1_o 18_o 28_o 36_o second_v 3_o 13_o 17_o 54_o three_o 7_o 3_o 59_o 36_o four_o 16_o 18_o 05_o 03_o the_o reader_n may_v himself_o from_o what_o have_v be_v say_v compute_v the_o period_n of_o the_o satellite_n in_o jupiter_n other_o place_n from_o these_o thing_n lay_v down_o it_o be_v easy_a from_o a_o eclipse_n know_v to_o find_v the_o next_o that_o will_v follow_v for_o if_o you_o add_v one_o or_o more_o revolution_n you_o have_v the_o eclipse_n follow_v thus_o for_o 00_o  _fw-fr day_n h._n ′_o ″_o july_n 12_o 14_o 18_o 00_o 1_o revol_n 1_o 18_o 28_o 36_o july_n 14_o 8_o 46_o 36_o 4_o revol_n 7_o 1_o 54_o 24_o july_n 21_o 10_o 41_o 00_o example_n july_n 12_o this_o year_n 1700_o according_a to_o mr_n flamsteed_n computation_n the_o first_o satellite_fw-la comes_fw-la out_o of_o jupiter_n shadow_n at_o 14_o h._n 18′_n p._n m._n according_a to_o mr_n cassini_n at_o 14_o h._n 20′_n 56″_n p_o m._n consequent_o the_o next_o emersion_n be_v on_o jul._n 14_o past_o 8_o of_o clock_n in_o the_o evening_n if_o you_o add_v 4_o revolution_n another_o emersion_n be_v on_o jul._n 21_o at_o 10_o h._n 41′_n near_o p._n m._n as_o here_o be_v exemplify_v in_o the_o margin_n the_o last_o thing_n i_o shall_v take_v notice_n of_o concern_v the_o satellite_fw-la eclipse_n be_v their_o duration_n this_o vary_v according_a as_o jupiter_n be_v near_a unto_o or_o remote_a from_o the_o 10_o degree_n of_o â™’_o or_o ♌_o as_o mr_n flamsteed_o say_v about_o which_o point_n be_v the_o nodes_fw-la or_o intersection_n of_o the_o plane_n of_o the_o satellite_fw-la orbit_n and_o jupiter_n or_o the_o jovial_a ecliptic_a mr_n cassini_n make_v it_o in_o 150_o of_o â™’_o or_o ♌_o and_o vary_v in_o the_o length_n of_o the_o duration_n of_o the_o eclipse_n but_o according_a to_o mr_n flamsteed_o the_o accuracy_n of_o who_o observation_n be_v not_o to_o be_v disinherit_v the_o great_a semiduration_n of_o the_o  _fw-fr h_o ′_o ″_o first_o satellite_fw-la be_v 1_o 9_o 28_o second_v 1_o 27_o 38_o three_o 1_o 48_o 55_o four_o 2_o 26_o 19_o but_o as_o jupiter_n remove_v from_o his_o nodes_fw-la the_o semiduration_n diminish_v and_o when_o he_o be_v get_v n_o 55_o degree_n from_o either_o of_o his_o nodes_fw-la the_o four_o satellite_fw-la pass_v clear_a of_o the_o shadow_n and_o fall_v not_o into_o it_o again_o until_o he_o come_v within_o 55_o degree_n of_o the_o opposite_a node_n when_o jupiter_n be_v on_o the_o limit_v or_o 90_o degree_n from_o his_o nodes_fw-la the_o least_o semiduration_n of_o the_o eclipse_n of_o the_o  _fw-fr h_o ′_o ″_o first_o satellite_fw-la be_v 1_o 6_o 49_o second_v 1_o 18_o 59_o three_o 1_o 17_o 33_o from_o this_o account_n of_o the_o duration_n of_o the_o satellite_fw-la eclipse_n we_o may_v have_v the_o immersion_n into_o jupiter_n shadow_n compute_v the_o emersion_n of_o any_o satellite_fw-la out_o of_o his_o shadow_n or_o contrariwise_o which_o will_v be_v of_o use_n to_o see_v both_o the_o beginning_n and_o end_n of_o any_o eclipse_n when_o visible_a i_o mean_v when_o not_o hinder_v by_o cloud_n day_n light_n or_o jupiter_n body_n or_o if_o by_o some_o of_o these_o mean_n we_o be_v hinder_v from_o see_v the_o one_o we_o may_v perhaps_o hereby_o see_v the_o other_o thus_o for_o instance_n this_o august_n 6._o 1700._o the_o first_o satellite_fw-la immerge_n at_o 6_o h._n 44′_n p._n m._n which_o can_v be_v see_v not_o only_o by_o reason_n of_o day_n light_n but_o also_o because_o jupiter_n shadow_n lie_v a_o little_a to_o the_o left_a of_o his_o body_n but_o if_o you_o add_v one_o whole_a obscuration_n viz._n twice_o 10h_o 9′_n 28″_n the_o emersion_n you_o will_v find_v visible_a at_o 9_o h_o 3′_n according_a to_o mr_n flamsteed_o at_o 9_o h._n 4′_n according_a to_o mounseur_fw-fr cassini_n table_n another_o instance_n will_v make_v all_o yet_o more_o plain_a oct._n 19_o at_o 9_o h._n 50′_n p_o m._n the_o 3d_o satellite_fw-la will_n emerge_fw-la from_o which_o substract_v one_o obscuration_n viz._n twice_o 1_o h._n 48_o you_o will_v find_v the_o immersion_n fall_v at_o 6_o h_z 13_o p._n m._n which_o may_v be_v see_v by_o reason_n that_o jupiter_n be_v at_o a_o good_a distance_n from_o his_o opposition_n to_o the_o sun_n so_o that_o the_o shade_n lie_v so_o far_o on_o the_o left_a hand_n as_o to_o admit_v of_o see_v the_o 3d_o and_o four_o satellite_fw-la between_o jupiter_n body_n and_o his_o shade_n i_o may_v to_o these_o have_v add_v divers_a other_o remark_n particular_o concern_v the_o equation_n of_o light_n or_o the_o
time_n in_o which_o light_n pass_v from_o the_o sun_n to_o jupiter_n which_o be_v at_o last_o settle_v by_o that_o sagacious_a observer_n so_o often_o before_o mention_v mr_n flamsteed_n but_o i_o must_v forbear_v fear_v that_o i_o have_v already_o weary_v the_o reader_n patience_n and_o shall_v need_v his_o pardon_n for_o detain_v he_o so_o long_o on_o this_o subject_n from_o so_o small_a a_o occasion_n as_o only_o a_o satellite_fw-la instrument_n of_o watch-work_n but_o i_o be_v willing_a from_o a_o small_a occasion_n rather_o than_o not_o at_o all_o to_o say_v something_o to_o excite_v the_o observation_n and_o inquiry_n of_o other_o concern_v this_o matter_n which_o may_v be_v of_o vast_a use_n in_o navigation_n make_v and_o correct_v map_n of_o country_n etc._n etc._n many_o of_o those_o to_o who_o this_o matter_n will_v be_v of_o great_a use_n scarce_o ever_o hear_v of_o it_o and_o other_o except_o monsieur_n cassini_n have_v be_v backward_o in_o favour_v the_o world_n with_o their_o observation_n necessary_a to_o calculation_n it_o be_v indeed_o a_o novel_a subject_n and_o full_a of_o difficulty_n on_o which_o little_a have_v be_v write_v and_o concern_v which_o the_o first_o material_a observation_n to_o be_v rely_v on_o be_v hodierna_n and_o mr_n rook_n those_o of_o the_o former_a be_v publish_v but_o not_o very_o accurate_a those_o of_o the_o latter_a be_v more_o accurate_a but_o not_o publish_v and_o neither_o of_o they_o be_v yet_o 50_o year_n old_a but_o neither_o novelty_n nor_o difficulty_n ought_v to_o discourage_v the_o curious_a and_o the_o diligent_a to_o excite_v who_o be_v partly_o the_o design_n of_o this_o digression_n iii_o to_o correct_v the_o motion_n of_o royal_a pendulum_n in_o chap._n 5._o of_o the_o precede_a book_n i_o judge_v it_o to_o be_v a_o good_a expedient_a to_o bring_v a_o pendulum_n to_o vibrate_v nice_o to_o add_v a_o bob_n underneath_o the_o pendulum_n ball._n this_o i_o have_v since_o find_v to_o succeed_v so_o much_o according_a to_o expectation_n that_o i_o think_v it_o frivolous_a to_o attempt_v by_o any_o of_o the_o usual_a way_n to_o bring_v a_o large_a single_a ball_n to_o vibrate_v to_o one_o single_v beat_n in_o any_o considerable_a quantity_n of_o time_n but_o when_o the_o great_a ball_n be_v bring_v pretty_a near_o its_o due_a length_n the_o little_a regulate_a bob_n will_v nice_o perform_v the_o rest_n the_o great_a ball_n be_v of_o the_o usual_a weight_n and_o form_n to_o swing_n second_o i_o will_v have_v the_o corrector_n or_o regulate_v bob_n to_o be_v about_o 10_o ounce_n troy_n to_o scrw_o up_o and_o down_o beneath_o the_o ball_n as_o be_v direct_v in_o chap._n 5_o before_o but_o after_o all_o endeavour_n of_o this_o kind_n it_o must_v be_v expect_v that_o the_o movement_n will_v still_o be_v expose_v to_o the_o influence_n of_o the_o weather_n and_o the_o alteration_n cause_v by_o foulness_n for_o the_o more_o easy_a and_o quick_a bring_v of_o a_o pendulum_n that_o shall_v swing_n second_o to_o its_o true_a length_n i_o have_v compose_v the_o follow_a table_n which_o show_v the_o alteration_n which_o will_v be_v make_v in_o 24_o hour_n by_o screw_v up_o or_o let_v down_o the_o great_a ball._n if_o therefore_o the_o ball_n run_v upon_o a_o rule_n divide_v into_o inch_n and_o ten_o of_o a_o inch_n it_o be_v easy_a to_o see_v how_o much_o or_o how_o little_a the_o ball_n need_v to_o be_v alter_v pendul_a length_n variation_n of_o vibrat_fw-la  _fw-fr in_o ten_o min._n sec._n  _fw-fr 38_o 0_o 22_o 33_o fast_o 38_o 1_o 20_o 38_o 38_o 2_o 18_o 43_o 38_o 3_o 16_o 48_o 38_o 4_o 14_o 55_o 38_o 5_o 13_o 2_o 38_o 6_o 11_o 9_o 38_o 7_o 9_o 16_o 38_o 8_o 7_o 25_o 38_o 9_o 5_o 32_o 39_o 0_o 3_o 42_o 39_o 1_o 1_o 51_o 39_o 2_o 00_o 00_o  _fw-fr 39_o 3_o 1_o 50_o slow_a 39_o 4_o 3_o 40_o 39_o 5_o 5_o 29_o 39_o 6_o 7_o 19_o 39_o 7_o 9_o 7_o 39_o 8_o 10_o 57_o 39_o 9_o 12_o 42_o 40_o 0_o 14_o 29_o this_o table_n will_v need_v little_a explication_n if_o your_o ball_n shall_v be_v at_o 39_o inch_n 2_o ten_o it_o will_v swing_n second_o if_o you_o alter_v it_o to_o 39_o inch_n 1_o ten_o it_o will_v go_v 1′_n 51″_n fast_o if_o to_o 39_o inch_n 3_o ten_o it_o will_v go_v 1′_n 51″_n slow_o and_o so_o of_o the_o rest_n of_o the_o table_n iv_o of_o the_o equation_n of_o natural_a day_n by_o reason_n that_o the_o sun_n motion_n in_o his_o orbit_n be_v not_o equal_a and_o that_o although_o he_o move_v equal_a arch_n of_o the_o ecliptic_a in_o equal_a time_n yet_o he_o will_v come_v to_o the_o meridian_n with_o unequal_a arch_n of_o the_o equator_fw-la by_o who_o equal_a revolution_n the_o equal_a time_n be_v measure_v hence_o i_o say_v it_o will_v happen_v that_o although_o a_o clock_n shall_v go_v so_o exact_o as_o at_o the_o year_n end_v to_o agree_v with_o the_o sun_n yet_o it_o will_v vary_v from_o the_o time_n show_v by_o the_o exact_a sun-dials_n the_o quantity_n of_o which_o variation_n may_v be_v see_v in_o the_o follow_a table_n for_o every_o day_n in_o the_o year_n for_o which_o table_n i_o be_o great_o oblige_v to_o that_o most_o accurate_a astronomer_n mr_n flamsteed_o so_o often_o mention_v these_o table_n need_v but_o little_a explication_n if_o you_o will_v keep_v your_o watch_n to_o the_o middle_a or_o equal_a motion_n of_o the_o sun_n it_o must_v go_v so_o many_o minute_n and_o second_n fast_o or_o slow_a than_o the_o sundial_n as_o the_o table_n show_v but_o if_o you_o will_v keep_v your_o watch_n to_o go_v by_o the_o sundial_n you_o may_v conclude_v it_o go_v well_o if_o it_o lose_v or_o gain_v every_o day_n so_o many_o second_o as_o you_o will_v find_v in_o the_o table_n thus_o for_o example_n jan._n 1._o in_o leap_v year_n the_o watch_n ought_v to_o be_v 8_o min._n 47_o sec._n fast_o than_o mr_n flamsteed_n table_n of_o aequation_n of_o natural-day_n the_o bissextile_a or_o leap-year_n  _fw-fr jan._n febr._n marc._n april_n may._n june_n july_n aug._n sept_n octo._n nou._n dec._n  _fw-fr m._n s._n  _fw-fr m._n s_o  _fw-fr m_o s_o  _fw-fr m_o s_o  _fw-fr m_o s_o  _fw-fr m_o s_o  _fw-fr m_o s_o  _fw-fr m_o s_o  _fw-fr m_o s_o  _fw-fr m_o s_o  _fw-fr m_o s_o  _fw-fr m_o s_o  _fw-fr 1_o 8_o 47_o  _fw-fr 14_o 49_o  _fw-fr 10_o 00_o  _fw-fr 0_o 41_o *_o l*_n 4_o 10_o  _fw-fr 0_o 59_o *_o 4_o 47_o  _fw-fr 4_o 26_o  _fw-fr 8_o 58_o  _fw-fr 13_o 22_o  _fw-fr 15_o 19_o  _fw-fr 5_o 28_o too_o 2_o 9_o 10_o 14_o 48_o 9_o 43_o 0_o 24_o 4_o 11_o 0_o 47_o 4_o 55_o 4_o 16_o 4_o 19_o 13_o 36_o 15_o 10_o 4_o 59_o 3_o 9_o 32_o 14_o 46_o 9_o 26_o 0_o 8_o 4_o 12_o 0_o 34_o 5_o 2_o 4_o 5_o 4_o 39_o 13_o 49_o 15_o 01_o 4_o 31_o 4_o 9_o 54_o 14_o 43_o 9_o 9_o 0_o 7_o 4_o 13_o 0_o 22_o 5_o 9_o 3_o 54_o 5_o 00_o 14_o 2_o 14_o 50_o 4_o 2_o 5_o 10_o 15_o 14_o 40_o 8_o 51_o 0_o 22_o 4_o 12_o 0_o 10_o 5_o 15_o 3_o 43_o 5_o 20_o 14_o 14_o 14_o 38_o 3_o 33_o 6_o 10_o 36_o  _fw-fr 14_o 36_o  _fw-fr 8_o 33_o  _fw-fr 0_o 37_o  _fw-fr 4_o 11_o  _fw-fr 0_o 03_o *_o 5_o 20_o  _fw-fr 3_o 31_o watch_n 5_o 41_o  _fw-fr 14_o 26_o  _fw-fr 14_o 26_o  _fw-fr 3_o 3_o slow_a 7_o 10_o 55_o 14_o 31_o 8_o 15_o 0_o 52_o 4_o 10_o 0_o 16_o 5_o 25_o 3_o 18_o 6_o 1_o 14_o 37_o 14_o 13_o 2_o 33_o 8_o 11_o 14_o 14_o 26_o 7_o 57_o 1_o 6_o 4_o 8_o 0_o 29_o 5_o 30_o 3_o 5_o 6_o 22_o 14_o 47_o 14_o 00_o 2_o 3_o 9_o 11_o 32_o 14_o 20_o 7_o 39_o 1_o 19_o 4_o 5_o 0_o 42_o 5_o 34_o 2_o 52_o 6_o 43_o 14_o 57_o 13_o 45_o 1_o 33_o 10_o 11_o 49_o 14_o 13_o 7_o 20_o 1_o 31_o 4_o 2_o 0_o 55_o 5_o 37_o 2_o 38_o 7_o 3_o 15_o 6_o 13_o 30_o 1_o 4_o 11_o 12_o 5_o watch_n 14_o 5_o watch_z 7_o 1_o watch_z 1_o 44_o watch_v 3_o 59_o watch_n 1_o 7_o watch_v 5_o 40_o watch_n 2_o 24_o too_o 7_o 24_o watch_n 15_o 15_o watch_n 13_o 13_o watch_n 0_o 34_o *_o i*_n 12_o 12_o 22_o 13_o 57_o 6_o 43_o 1_o 57_o 3_o 54_o 1_o 20_o 5_o 43_o 2_o 9_o 7_o 44_o 15_o 24_o 12_o 56_o 0_o 4_o 13_o 12_o 37_o 13_o 48_o 6_o 24_o 2_o 9_o 3_o 50_o 1_o 33_o 5_o 45_o 1_o 54_o 8_o 4_o 15_o 30_o 12_o 38_o 0_o 26_o 14_o 12_o 51_o 13_o 39_o 6_o 05_o 2_o 19_o 3_o 45_o 1_o 46_o 5_o 45_o 1_o 38_o 8_o 24_o 15_o 36_o 12_o 19_o 0_o 56_o 15_o 13_o 5_o 13_o 29_o 5_o 46_o 2_o 30_o 3_o 39_o 1_o 59_o 5_o 46_o 1_o 22_o 8_o 43_o 15_o 42_o 12_o 00_o 1_o 26_o 16_o 13_o 18_o too_o 13_o 18_o too_o 5_o