of_o the_o unequality_n of_o natural_a time_n with_o its_o reason_n and_o cause_n together_o with_o a_o table_n of_o the_o true_a aequation_n of_o natural_a day_n draw_v up_o chief_o for_o the_o use_v of_o the_o gentry_n in_o order_n to_o their_o more_o true_a adjust_n and_o right_a manage_n of_o pendulum_n clock_n and_o watch_n by_o john_n smith_n c._n m._n london_n print_v for_o joseph_n watts_n at_o the_o half-moon_n in_o st._n paul_n churchyard_n 1686._o a_o table_n of_o equation_n for_o reduce_v the_o unequality_n of_o natural_a day_n to_o a_o mean_a and_o equal_a time_n design_v chief_o in_o order_n to_o the_o more_o true_a adjust_n and_o right_a manage_n of_o pendulum_n clock_n and_o watch_n by_o john_n smith_n c._n m._n day_n janua_n sec_n febru_n sec._n march_n sec._n april_n sec._n may._n sec._n june_n sec._n july_n sec._n aug._n sec._n sept._n sec._n octob._n sec._n nou._n sec._n dec._n sec._n 1_o natural_a day_n long_o than_o the_o mean_a day_n and_o clock_n gain_v 24_o â_o 0_o natural_a day_n short_a than_o the_o mean_a day_n and_o clock_n lose_v 17_o natural_a day_n short_a than_o the_o mean_a day_n and_o clock_n lose_v 17_o  _fw-fr 3_o natural_a day_n long_o than_o the_o mean_a day_n and_o clock_n gain_v 11_o natural_a day_n long_o 7_o nat._n day_n short_a than_o the_o mean_a and_o clock_n lose_v 9_o nat._n day_n short_a than_o the_o mean_a and_o clock_n lose_v 20_o nat._n day_n short_a clock_n lose_v 14_o natural_a day_n long_o than_o the_o mean_a and_o clock_n gain_v 9_o natural_a day_n long_o than_o the_o mean_a and_o clock_n gain_v 29_o 2_o 23_o natural_a day_n short_a than_o the_o mean_a day_n and_o clock_n lose_v 2_o 17_o 16_o 3_o 11_o 7_o 9_o 20_o 14_o 10_o 30_o 3_o 22_o 2_o 18_o 16_o 1_o 12_o 7_o 9_o 21_o 13_o 10_o 30_o 4_o 21_o 4_o 18_o 15_o â_o 0_o 12_o 6_o 11_o 21_o 13_o 10_o 30_o 5_o 20_o 4_o 18_o 15_o â_o 0_o 12_o 6_o 12_o 21_o 13_o 11_o 30_o 6_o 19_o 4_o 18_o 14_o nat._n day_n long_o than_o the_o mean_a day_n and_o clock_n gain_v 1_o 13_o 6_o 13_o 21_o 13_o 12_o 30_o 7_o 18_o 5_o 18_o 14_o 2_o 13_o 6_o 13_o 22_o 12_o 12_o 30_o 8_o 17_o 5_o 18_o 14_o 2_o 13_o 5_o 14_o 22_o 11_o 13_o 30_o 9_o 16_o 6_o 18_o 14_o 3_o 13_o 4_o 14_o 22_o 10_o 15_o 30_o 10_o 16_o 8_o 18_o 13_o 3_o 13_o 4_o 15_o 21_o 9_o 17_o 30_o 11_o 16_o 8_o 18_o 13_o 3_o 13_o 3_o 15_o 21_o 8_o 17_o 30_o 12_o 16_o 9_o 18_o 12_o 4_o 13_o 2_o 15_o 20_o 7_o 18_o 30_o 13_o 16_o 9_o 19_o 12_o 4_o 13_o 2_o 16_o 20_o 7_o 18_o 30_o 14_o 15_o 10_o 19_o 11_o 5_o 13_o 1_o 16_o 20_o 6_o 19_o 31_o 15_o 15_o 10_o 20_o 11_o 5_o 13_o â_o 0_o 17_o 20_o 6_o 20_o 31_o 16_o 14_o 11_o 20_o 10_o 6_o 12_o â_o 0_o 17_o 20_o 5_o 21_o 31_o 17_o 13_o 12_o 20_o 10_o 6_o 12_o nat._n day_n short_a 1_o 17_o 20_o 4_o 22_o 31_o 18_o 12_o 13_o 20_o 10_o 6_o 11_o 2_o 18_o 20_o 3_o 23_o 30_o 19_o 11_o 13_o 20_o 10_o 6_o 11_o 3_o 18_o 19_o 3_o 23_o 30_o 20_o 11_o 13_o 19_o 10_o 7_o 11_o 4_o 19_o 19_o 2_o 24_o 30_o 21_o 10_o 14_o 19_o 9_o 8_o 11_o 4_o 19_o 19_o â_o 0_o 24_o 30_o 22_o 9_o 14_o 19_o 7_o 8_o 11_o 4_o 19_o 19_o â_o 0_o 24_o 30_o 23_o 8_o 15_o 19_o 7_o 9_o 10_o 4_o 19_o 19_o â_o 0_o 25_o 30_o 24_o 6_o 15_o 19_o 7_o 10_o 10_o 5_o 19_o 18_o long_o 1_o 25_o 29_o 25_o 5_o 15_o 19_o 6_o 10_o 10_o 5_o 20_o 17_o 2_o 25_o 28_o 26_o 4_o 15_o 19_o 5_o 11_o 10_o 5_o 20_o 17_o 2_o 25_o 28_o 27_o 3_o 16_o 19_o 5_o 11_o 10_o 5_o 20_o 16_o 3_o 26_o 28_o 28_o 3_o 17_o 19_o 5_o 11_o 9_o 6_o 20_o 16_o 4_o 26_o 27_o 29_o 2_o  _fw-fr 19_o 4_o 11_o 9_o 7_o 20_o 15_o 6_o 27_o 27_o 30_o 1_o 18_o 4_o 11_o 8_o 8_o 20_o 15_o 7_o 27_o 25_o 31_o â_o 0_o 17_o  _fw-fr 11_o  _fw-fr 9_o 20_o  _fw-fr 8_o  _fw-fr 24_o  _fw-fr clock_n gain_v this_o month_n clock_n lose_v this_o month_n clock_n lose_v this_o month_n clock_n lose_v this_o month_n clock_n gain_v this_o month_n clock_n gain_v this_o month_n clock_n lose_v this_o month_n clock_n lose_v this_o month_n clock_n lose_v this_o month_n clock_n lose_v this_o month_n clock_n gain_v this_o month_n clock_n gain_v this_o month_n sum_n min._n sec._n min._n sec._n min._n sec._n min._n sec._n min._n sec._n min._n sec._n min._n sec._n min._n sec._n min._n sec._n min._n sec._n min._n sec._n min._n sec._n 6_o 26_o 4_o 29_o 9_o 37_o 5_o 16_o 2_o 47_o 5_o 43_o 0_o 6_o 8_o 23_o 9_o 41_o 2_o 20_o 9_o 38_o 15_o 9_o this_o table_n contain_v those_o second_o of_o time_n that_o each_o natural_a day_n be_v either_o long_o or_o short_a than_o the_o mean_a or_o equal_a day_n or_o such_o a_o one_o as_o contain_v in_o length_n the_o just_a time_n of_o 24_o hour_n from_o which_o mean_a day_n the_o natural_a one_o differ_v almost_o continual_o in_o length_n this_o table_n shall_v still_o give_v you_o the_o difference_n between_o they_o and_o by_o inspection_n only_o inform_v you_o what_o quantity_n of_o time_n each_o natural_a day_n be_v either_o more_o than_o 24_o hour_n long_o or_o less_o note_v that_o upon_o each_o particular_a day_n a_o clock_n that_o be_v well_o adjust_v to_o a_o mean_a or_o 24_o hour_n day_n shall_v then_o either_o gain_v or_o lose_v just_a so_o much_o time_n as_o that_o natural_a day_n be_v either_o long_o or_o short_a than_o the_o mean_a day_n therefore_o if_o a_o clock_n have_v be_v first_o set_v right_o to_o the_o sun_n the_o first_o day_n of_o any_o particular_a month_n shall_v either_o gain_v or_o lose_v in_o that_o whole_a month_n so_o much_o in_o time_n as_o the_o whole_a sum_n of_o equation_n for_o that_o month_n amount_v to_o which_o you_o shall_v find_v note_v down_o at_o the_o bottom_n of_o every_o particular_a column_n then_o be_v it_o well_o adjust_v to_o the_o mean_a equal_a or_o 24_o hour_n day_n but_o if_o it_o have_v not_o either_o get_v or_o lose_v so_o much_o as_o the_o whole_a sum_n of_o equation_n for_o the_o whole_a time_n it_o have_v go_v in_o do_v amount_v to_o then_o must_v its_o motion_n be_v regulate_v as_o occasion_n require_v by_o screw_v up_o the_o bob_n to_o make_v it_o go_v fast_o in_o case_n it_o have_v not_o get_v enough_o or_o else_o let_v the_o bob_n down_o low_a to_o make_v it_o go_v slow_a in_o case_n it_o have_v not_o lose_v so_o much_o as_o the_o whole_a sum_n of_o equation_n do_v amount_v to_o for_o the_o time_n it_o have_v go_v in_o of_o the_o unequality_n of_o natural_a time_n etc._n etc._n the_o vibration_n of_o a_o long_a and_o weighty_a pendulum_n although_o it_o be_v just_o esteem_v to_o be_v the_o most_o exact_a and_o steady_a of_o all_o natural_a motion_n yet_o be_v it_o not_o capable_a of_o regulate_v the_o index_n of_o a_o clock_n to_o such_o a_o pitch_n of_o perfection_n as_o continual_o to_o point_v out_o the_o same_o time_n that_o shall_v be_v give_v by_o the_o sun_n on_o the_o line_n of_o a_o exact_a and_o true_a dial._n the_o truth_n of_o which_o be_v sufficient_o make_v evident_a by_o the_o most_o exact_a and_o critical_a experiment_n for_o let_v all_o the_o move_a part_n of_o a_o pendulum_n clock_n be_v contrive_v with_o the_o great_a skill_n and_o judgement_n and_o then_o make_v up_o by_o the_o most_o cunning_a and_o curious_a hand_n and_o after_o all_o this_o be_v adjust_v by_o the_o utmost_a care_n and_o diligence_n of_o man_n yet_o shall_v not_o the_o motion_n of_o it_o correspond_v so_o continual_o with_o the_o hour_n give_v by_o the_o sun_n but_o that_o in_o some_o considerable_a quantity_n of_o time_n you_o shall_v be_v sensible_a of_o gain_n or_o loss_n in_o the_o motion_n of_o it_o the_o true_a reason_n of_o which_o variation_n proceed_v not_o from_o any_o defect_n that_o may_v be_v attribute_v to_o the_o motion_n of_o the_o pendulum_n of_o who_o exactness_n we_o be_v by_o many_o curious_a experiment_n sufficient_o sensible_a but_o rather_o from_o a_o unequality_n legible_a and_o easy_a enough_o to_o be_v discover_v in_o the_o diurnal_a motion_n of_o the_o sun_n vulgar_o for_o the_o most_o part_n the_o sun_n be_v indeed_o account_v to_o be_v the_o standard_n and_o measure_n of_o all_o equal_a time_n and_o man_n general_o esteem_v natural_a day_n to_o be_v all_o of_o one_o length_n as_o contain_v the_o just_a time_n of_o 24_o hour_n but_o upon_o a_o more_o exact_a and_o curious_a scrutiny_n these_o vulgar_a supposition_n be_v find_v to_o be_v false_a for_o neither_o be_v the_o sun_n motion_n find_v to_o be_v exact_a be_v in_o appearance_n to_o
short_a as_o in_o march_n or_o september_n shall_v not_o finish_v it_o be_v daily_a revolution_n so_o soon_o as_o the_o day_n itself_o shall_v be_v accomplish_v and_o by_o consequence_n go_v each_o day_n so_o much_o too_o slow_a as_o those_o day_n of_o march_n or_o september_n be_v more_o short_a than_o they_o to_o which_o the_o clock_n before_o have_v be_v exact_o adjust_v since_o therefore_o there_o be_v no_o tolerable_a exactness_n in_o thus_o adjust_v clock_n to_o the_o sun_n itself_o because_o be_v thus_o adjust_v at_o time_n when_o day_n be_v either_o short_a or_o long_a their_o gain_n or_o lose_v will_v be_v the_o more_o extreme_a in_o the_o contrary_a part_n of_o the_o year_n for_o example_n clock_n adjust_v to_o the_o sun_n in_o march_n shall_v upon_o most_o day_n in_o december_n gain_v almost_o 50_o second_o which_o in_o the_o month_n time_n shall_v amount_v to_o near_o half_a a_o hour_n and_o on_o the_o contrary_a if_o adjust_v to_o go_v true_a with_o the_o sun_n in_o december_n it_o shall_v in_o march_n lose_v the_o same_o time_n and_o so_o for_o any_o other_o according_a as_o day_n do_v differ_v in_o length_n that_o clock_n therefore_o may_v be_v reduce_v to_o a_o more_o exact_a pitch_n of_o motion_n that_o their_o gain_n or_o loss_n may_v never_o be_v so_o extreme_a it_o will_v be_v necessary_a to_o adjust_a they_o so_o as_o that_o their_o motion_n may_v be_v agreeable_a to_o that_o of_o a_o middle_a day_n or_o such_o a_o one_o as_o be_v a_o mean_a between_o natural_a day_n that_o be_v most_o long_o and_o those_o other_o that_o be_v most_o short_a to_o which_o pitch_n if_o a_o clock_n be_v once_o adjust_v it_o be_v gain_n or_o loss_n shall_v then_o be_v the_o less_o sensible_a for_o gain_n and_o lose_v it_o will_v still_o amount_v in_o december_n but_o to_o about_o 15_o minute_n in_o the_o whole_a month_n and_o in_o march_n to_o but_o about_o 9_o which_o be_v vast_o more_o exact_a than_o when_o it_o shall_v happen_v to_o be_v adjust_v to_o the_o long_a or_o short_a of_o natural_a day_n or_o to_o any_o other_o that_o be_v not_o equal_a to_o a_o mean_a or_o middle_a day_n of_o which_o there_o be_v but_o few_o which_o in_o the_o table_n be_v express_v by_o the_o character_n â_o sol._n but_o to_o this_o exact_a pitch_n of_o motion_n that_o may_v thus_o correspond_v to_o a_o mean_a day_n the_o great_a exactness_n that_o a_o pendulum_n be_v capable_a of_o be_v bring_v to_o there_o be_v no_o way_n certain_o to_o adjust_a a_o clock_n without_o the_o help_n and_o assistance_n of_o a_o table_n of_o equation_n that_o give_v the_o daily_a difference_n between_o a_o mean_a day_n and_o those_o which_o be_v either_o long_o or_o short_a than_o the_o mean_a day_n be_v which_o equation_n have_v former_o be_v compute_v by_o the_o worthy_a and_o ingenious_a mr._n christian_n hugens_fw-la de_fw-fr zulechim_n who_o be_v report_v to_o be_v the_o first_o that_o ever_o apply_v the_o pendulum_n to_o regulate_v the_o motion_n of_o a_o clock_n and_o not_o long_o since_o print_v in_o number_n 49._o philos_fw-la trans_fw-la i_o have_v make_v bold_a in_o regard_n of_o its_o exactness_n to_o transcribe_v in_o its_o more_o natural_a form_n of_o a_o equation_n by_o only_o express_v the_o equation_n themselves_o without_o add_v they_o together_o and_o substract_v as_o mr._n hugens_n have_v do_v for_o a_o particular_a use_n to_o show_v the_o nature_n of_o a_o pendulum_n go_v when_o set_v right_o the_o first_o of_o february_n and_o let_v go_v the_o whole_a year_n round_o without_o set_v afterward_o now_o for_o their_o sake_n that_o desire_v to_o know_v the_o manner_n of_o compose_v such_o a_o table_n themselves_o that_o thereby_o they_o may_v the_o better_o understand_v the_o nature_n of_o it_o they_o may_v note_n that_o the_o equation_n be_v to_o be_v find_v out_o and_o a_o table_n compose_v in_o the_o manner_n follow_v first_o find_v out_o a_o mean_a right_a ascension_n by_o divide_v the_o 360_o degree_n of_o the_o equinox_n into_o 365_o part_n and_o a_o quarter_n equal_a to_o the_o day_n of_o a_o year_n and_o the_o product_n shall_v be_v the_o mean_a right_a ascension_n desire_v which_o will_v be_v find_v to_o be_v about_o three_o minute_n 56_o second_o according_a to_o sir_n ionas_n moor_n account_n of_o it_o in_o his_o mathematical_a compendium_n then_o by_o the_o help_n of_o a_o exact_a ephemerides_n here_o lie_v the_o difficulty_n let_v the_o natural_a right_a ascension_n of_o the_o sun_n be_v compute_v by_o calculation_n for_o the_o meridian_n position_n of_o the_o sun_n for_o every_o day_n to_o minute_n and_o second_o which_o have_v do_v compare_v the_o daily_a difference_n of_o these_o natural_a right_a ascension_n with_o the_o mean_a one_o by_o still_o substract_v the_o lesser_a from_o the_o great_a and_o what_o remain_v shall_v be_v the_o equation_n desire_v still_o note_v down_o either_o the_o excess_n or_o defect_n that_o be_v whether_o the_o natural_a be_v more_o than_o the_o mean_a or_o less_o as_o for_o example_n suppose_v the_o right_a ascension_n between_o the_o meridian_n of_o the_o 1_o st_z and_o 2_o d._n of_o january_n be_v find_v to_o amount_v to_o 4_o minute_n 20_o second_o this_o compare_v with_o the_o mean_a right_a ascension_n 3_o minute_n 56_o second_o and_o by_o substract_v the_o lesser_a from_o the_o great_a the_o remainder_n will_v be_v find_v to_o be_v 24_o second_o and_o so_o much_o the_o natural_a right_a ascension_n do_v then_o exceed_v the_o mean_a one_o this_o 24_o second_o be_v the_o equation_n for_o that_o day_n it_o be_v from_o noon_n to_o noon_n 24_o second_o long_o than_o a_o mean_a day_n be_v and_o show_v you_o that_o a_o clock_n when_o well_o adjust_v to_o a_o mean_a day_n shall_v then_o gain_v 24_o second_o because_o it_o finish_v its_o diurnal_a revolution_n soon_o by_o 24_o second_o than_o the_o day_n itself_o do_v on_o the_o contrary_a when_o the_o right_a ascension_n of_o natural_a day_n be_v less_o than_o the_o mean_a one_o as_o they_o be_v about_o the_o middle_n of_o march_n by_o almost_o 20_o second_o this_o 20_o second_o be_v the_o equation_n belong_v to_o such_o a_o day_n shall_v show_v you_o that_o upon_o such_o a_o like_a day_n a_o well_o adjust_v clock_n shall_v then_o lose_v 20_o second_o for_o the_o mean_a day_n to_o which_o it_o be_v adjust_v being_n long_o than_o the_o natural_a one_o by_o 20_o second_o the_o natural_a day_n shall_v be_v finish_v soon_o by_o 20_o second_o than_o the_o clock_n at_o that_o time_n shall_v accomplish_v it_o be_v diurnal_a or_o daily_a revolution_n and_o by_o consequence_n it_o shall_v then_o lose_v 20_o second_o the_o equation_n thus_o find_v for_o every_o particular_a day_n and_o a_o table_n compose_v of_o they_o shall_v resemble_v that_o which_o be_v here_o insert_v who_o use_n we_o now_o come_v to_o show_v more_o particular_a in_o some_o case_n for_o explanation_n take_v notice_n that_o the_o first_o column_n contain_v the_o day_n common_a to_o every_o month_n the_o other_o 12_o 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slow_a on_o the_o 23d_o of_o october_n it_o shall_v by_o consequence_n be_v now_o 19_o minute_n 29_o second_o too_o fast_o from_o whence_o to_o the_o four_o of_o may_n it_o shall_v lose_v what_o now_o it_o be_v too_o fast_o and_o so_o come_v right_a to_o the_o same_o dial_n with_o which_o it_o be_v before_o set_v again_o set_v a_o clock_n to_o the_o sun_n the_o 15_o of_o july_n and_o if_o it_o be_v well_o adjust_v it_o shall_v by_o the_o 23d_o of_o october_n be_v 22_o minute_n 9_o second_o too_o slow_a from_o whence_o to_o the_o last_o of_o january_n it_o be_v to_o gain_v 31_o minute_n 55_o second_o it_o shall_v be_v then_o 9_o minute_n 46_o second_v too_o fast_a from_o which_o time_n to_o the_o four_o of_o may_n it_o lose_v 19_o minute_n 29_o second_o it_o shall_v then_o be_v 9_o minute_n 29_o second_o too_o slow_a which_o time_n by_o the_o 15_o of_o july_n shall_v again_o be_v get_v and_o so_o the_o clock_n shall_v come_v right_a to_o the_o same_o dial._n thus_o by_o this_o table_n be_v these_o great_a variety_n discoverable_a in_o the_o motion_n of_o the_o best_a adjust_v pendulum_n according_a to_o the_o different_a time_n of_o the_o year_n that_o it_o be_v set_v in_o that_o the_o same_o pendulum_n set_v right_a upon_o the_o first_o of_o february_n shall_v go_v always_o too_o slow_a till_o the_o same_o day_n twelvemonth_n but_o if_o set_v right_o the_o 23d_o of_o october_n it_o shall_v the_o whole_a year_n round_o be_v still_o too_o fast_o till_o the_o same_o day_n on_o which_o it_o be_v
set_v the_o same_o clock_n be_v also_o set_v to_o the_o hour_n on_o the_o four_o of_o may_n or_o the_o 15_o of_o july_n shall_v on_o the_o follow_a year_n be_v sometime_o too_o fast_o and_o at_o other_o time_n too_o slow_a these_o be_v all_o strange_a and_o unaccountable_a thing_n to_o such_o as_o understand_v not_o the_o nature_n of_o the_o unequality_n of_o time_n from_o whence_o all_o these_o variety_n do_v still_o arise_v and_o be_v scarce_o to_o be_v demonstrate_v to_o the_o understanding_n by_o any_o other_o way_n than_o by_o this_o or_o some_o other_o table_n of_o the_o aequation_n of_o time_n since_o therefore_o there_o be_v a_o necessity_n for_o set_v clock_n anew_o to_o the_o sun_n at_o some_o time_n that_o they_o may_v be_v keep_v as_o near_o as_o possible_a to_o the_o apparent_a time_n give_v by_o a_o dial_n i_o advise_v that_o this_o set_n may_v be_v if_o possible_a the_o first_o day_n of_o every_o month_n so_o may_v you_o the_o better_o discern_v by_o the_o time_n set_v 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bring_v to_o the_o near_a pitch_n of_o motion_n it_o be_v capable_a of_o and_o that_o when_o it_o be_v at_o any_o time_n find_v to_o differ_v from_o the_o sun_n it_o must_v be_v look_v upon_o as_o the_o natural_a consequence_n of_o the_o unequality_n of_o time_n and_o not_o any_o deficiency_n in_o the_o motion_n of_o the_o clock_n i_o speak_v this_o of_o those_o long_a and_o curious_a pendulum_n that_o vibrate_v within_o the_o compass_n of_o 2_o or_o 3_o inch_n for_o the_o less_o compass_n a_o pendulum_n take_v the_o more_o steady_a be_v its_o motion_n not_o be_v so_o subject_a to_o rise_v and_o fall_v as_o other_o be_v that_o vibrate_v in_o a_o large_a compass_n as_o for_o those_o short_a pendulum_n of_o a_o foot_n long_o or_o under_o although_o they_o may_v go_v very_o steady_a for_o the_o most_o part_n if_o frost_n or_o foulness_n hinder_v not_o yet_o be_v they_o not_o at_o all_o intend_a in_o this_o discourse_n their_o motion_n be_v apt_a to_o a_o alteration_n in_o some_o case_n for_o a_o short_a pendulum_n that_o go_v well_o when_o clean_o shall_v go_v fast_o than_o the_o mean_a time_n when_o foul_a because_o the_o pendulum_n be_v by_o the_o foulness_n hinder_v from_o take_v its_o wont_a compass_n the_o same_o effect_n do_v frost_n produce_v for_o by_o congeal_v the_o oil_n in_o the_o pevet_n its_o freedom_n of_o motion_n be_v interrupt_v so_o that_o the_o pendulum_n not_o fetch_v its_o wont_a compass_n shall_v go_v too_o fast_o but_o those_o long_a and_o curious_a pendulum_n of_o 40_o inch_n that_o fetch_v not_o above_o three_o inch_n compass_v they_o be_v so_o exact_a that_o be_v once_o adjust_v they_o shall_v always_o keep_v the_o same_o time_n if_o their_o motion_n continue_v for_o if_o the_o pendulum_n shall_v fetch_v a_o small_a compass_n their_o motion_n will_v cease_v and_o themselves_o stand_v still_o when_o such_o a_o pendulum_n as_o this_o be_v well_o adjust_v you_o may_v trust_v to_o it_o as_o to_o its_o correspondence_n in_o motion_n with_o the_o mean_a time_n and_o only_o give_v yourself_o the_o trouble_n sometime_o to_o set_v it_o a_o little_a forward_o or_o backward_o according_a to_o what_o the_o unequality_n of_o time_n have_v make_v it_o to_o differ_v from_o the_o same_o dial_n with_o which_o you_o do_v use_v to_o set_v it_o which_o time_n of_o set_v may_v be_v as_o i_o say_v before_o once_o in_o a_o month_n yet_o if_o the_o table_n be_v well_o note_v you_o shall_v find_v there_o be_v some_o time_n in_o the_o year_n in_o which_o a_o good_a clock_n may_v go_v a_o long_a time_n without_o any_o material_a difference_n from_o the_o time_n give_v by_o a_o dial_n for_o example_n suppose_v you_o set_v a_o clock_n right_n to_o the_o sun_n the_o first_o of_o january_n this_o clock_n if_o let_v go_v till_o the_o first_o of_o march_n shall_v then_o be_v but_o two_o minute_n four_o second_o too_o fast_o for_o though_o it_o gain_v in_o january_n six_o minute_n no_o great_a matter_n yet_o lose_v in_o the_o next_o month_n about_o four_o minute_n it_o shall_v at_o the_o end_n of_o that_o month_n be_v but_o two_o minute_n to_o fast_o nay_o if_o let_v go_v another_o month_n as_o to_o the_o last_o of_o march_n be_v it_o shall_v then_o differ_v but_o about_o seven_o minute_n which_o be_v no_o great_a matter_n moreover_o if_o you_o set_v a_o clock_n the_o first_o of_o may_n it_o shall_v if_o let_v go_v till_o june_n lose_v but_o two_o minute_n thirty_o five_o second_o in_o the_o whole_a though_o it_o shall_v at_o the_o begin_n of_o may_v be_v about_o five_o minute_n to_o slow_a which_o be_v no_o great_a matter_n so_o also_o if_o it_o be_v set_v right_o the_o first_o of_o june_n it_o may_v well_o go_v without_o set_v till_o the_o first_o of_o september_n for_o though_o it_o gain_v five_o minute_n in_o june_n yet_o lose_v eight_o minute_n in_o august_n it_o shall_v then_o be_v but_o about_o three_o minute_n too_o slow_a in_o this_o three_o month_n time_n but_o at_o some_o other_o time_n as_o from_o february_n to_o may_n if_o a_o clock_n be_v let_v go_v it_o will_v be_v extreme_o out_o lose_v above_o eighteen_o minute_n so_o also_o in_o november_n december_n and_o january_n in_o which_o time_n it_o will_v gain_v above_o thirty_o minute_n by_o the_o table_n you_o may_v also_o ready_o find_v out_o what_o difference_n there_o be_v between_o the_o length_n of_o any_o two_o day_n in_o this_o manner_n first_o if_o the_o day_n be_v both_o short_a or_o both_o long_o than_o the_o mean_a day_n then_o subtract_v the_o equation_n in_o the_o table_n belong_v to_o one_o day_n from_o the_o equation_n of_o the_o other_o and_o the_o remainder_n shall_v show_v their_o difference_n in_o length_n but_o if_o the_o day_n be_v one_o long_a than_o the_o mean_a and_o the_o other_o short_a then_o add_v the_o two_o equation_n together_o and_o the_o sum_n shall_v be_v the_o time_n that_o they_o differ_v in_o length_n thus_o the_o ten_o of_o january_n will_v be_v find_v to_o be_v thirteen_o second_o long_o than_o the_o ten_o of_o may_n also_o the_o fifteen_o of_o september_n will_v be_v find_v to_o be_v fifty_o one_o second_o short_a than_o the_o fifteen_o of_o december_n note_v that_o if_o man_n be_v very_o nice_a in_o keep_v a_o clock_n true_a to_o the_o sun_n they_o shall_v then_o make_v use_n if_o possible_a of_o but_o one_o time_n on_o the_o dial_n that_o they_o set_v it_o with_o and_o that_o pretty_a near_o noon_n for_o few_o dial_n be_v draw_v exact_o true_a great_a mistake_n may_v arise_v when_o a_o clock_n be_v set_v to_o one_o hour_n and_o then_o compare_v with_o another_o and_o by_o reason_n of_o refraction_n great_a error_n may_v also_o arise_v for_o the_o sun_n by_o refraction_n be_v make_v to_o appear_v high_a than_o real_o she_o be_v there_o can_v be_v no_o certain_a account_n take_v of_o the_o time_n till_o near_a noon_n where_o refraction_n cease_v and_o when_o all_o this_o care_n be_v take_v in_o regard_n it_o be_v so_o very_o hard_o to_o distinguish_v minute_n by_o the_o shadow_n of_o a_o dial_n you_o will_v be_v much_o more_o exact_a if_o you_o do_v thus_o let_v two_o plain_a and_o flat_a plate_n or_o board_n about_o ten_o inch_n square_a be_v join_v so_o close_o together_o that_o a_o sixpence_n may_v but_o just_o go_v between_o let_v they_o be_v fix_v so_o that_o this_o cranney_n between_o they_o may_v respect_v the_o true_a south_n this_o will_v give_v you_o the_o time_n to_o less_o than_o half_a a_o minute_n by_o observe_v the_o first_o moment_n that_o the_o sun_n beam_n be_v dart_v through_o it_o and_o cast_v upon_o some_o dark_a body_n that_o be_v placâd_v on_o the_o north-part_n to_o receive_v the_o light_n so_o that_o have_v thus_o the_o exact_a time_n when_o the_o sun_n come_v to_o every_o meridian_n it_o will_v be_v find_v a_o much_o better_a way_n to_o adjust_a clock_n by_o such_o a_o device_n as_o this_o than_o by_o the_o true_a dial._n one_o use_n more_o and_o that_o a_o principal_a one_o i_o shall_v add_v that_o be_v this_o when_o a_o clock_n be_v once_o well_o adjust_v to_o the_o mean_a or_o equal_a day_n you_o may_v then_o by_o this_o table_n keep_v it_o right_n to_o the_o time_n give_v by_o the_o sun_n although_o you_o never_o set_v it_o right_n to_o a_o dial_n nor_o see_v the_o sun_n above_o once_o a_o year_n to_o perform_v this_o do_v thus_o set_v your_o clock_n right_a to_o the_o sun_n the_o first_o day_n of_o any_o one_o month_n and_o then_o the_o table_n still_o give_v you_o the_o time_n it_o shall_v lose_v or_o gain_v in_o that_o whole_a month_n âime_v it_o be_v then_o but_o set_v it_o forward_o or_o backward_o the_o first_o day_n of_o the_o next_o month_n what_o it_o either_o have_v get_v or_o lose_v in_o the_o month_n immediate_o precede_v and_o it_o will_v then_o be_v right_a with_o the_o sun_n as_o if_o it_o have_v be_v set_v by_o a_o dial_n and_o so_o from_o month_n to_o month_n you_o may_v by_o still_o set_v it_o either_o forward_a or_o backward_o according_a to_o what_o the_o table_n tell_v you_o it_o will_v gain_v or_o lose_v keep_v it_o true_a to_o the_o time_n give_v by_o the_o sun_n though_o it_o shall_v never_o shine_v so_o as_o to_o give_v you_o a_o opportunity_n to_o set_v it_o by_o a_o dial_n above_o once_o in_o the_o whole_a year_n but_o be_v sure_a your_o clock_n be_v first_o well_o adjust_v or_o else_o there_o may_v be_v some_o error_n note_v that_o for_o this_o purpose_n it_o will_v be_v very_o convenient_a to_o paste_n the_o table_n itself_o on_o a_o board_n and_o then_o put_v it_o into_o a_o handsome_a frame_n let_v it_o be_v hang_v up_o near_o the_o clock_n that_o you_o may_v have_v ready_a recourse_n to_o it_o on_o all_o occasion_n especial_o for_o this_o in_o particular_a for_o without_o the_o assistance_n of_o such_o a_o table_n as_o this_o i_o know_v no_o way_n in_o the_o world_n to_o keep_v a_o clock_n right_n to_o the_o apparent_a time_n in_o case_n cloud_n shall_v intercept_v the_o beam_n of_o the_o sun_n for_o any_o long_a time_n together_o finis_fw-la book_n sell_v by_o joseph_n watts_n at_o the_o halfmoon_n in_o st._n paul_n churchyard_n josephus_n war_n of_o the_o jew_n fol._n the_o trial_n of_o thomas_n walcot_n william_n hone_n william_n lord_n russel_n john_n rouse_v and_o william_n blagg_n the_o confession_n prayer_n and_o meditation_n of_o john_n stern_n publish_v by_o doctor_n burnet_n and_o doctor_n horneck_n the_o earl_n of_o danby_n case_n and_o answer_v to_o sir_n robert_n howard_n and_o his_o answer_n to_o the_o examination_n of_o his_o case_n and_o reply_v the_o bishop_n of_o england_n may_v and_o aught_o to_o vote_n in_o case_n of_o blood_n baxter_n against_o baxter_n a_o serious_a expostulation_n with_o the_o whig_n in_o scotland_n dr._n jane_n sermon_n before_o the_o commons_o april_n 11._o 1679._o dr._n perinchief_n against_o toleration_n fowler_n be_v catechism_n of_o the_o church_n of_o england_n poetical_o paraphrase_a cave_n sermon_n on_o the_o 30_o the_o of_o january_n james_n visitation_n sermon_n and_o on_o the_o 24_o the_o of_o december_n 1682._o a_o disquisition_n upon_o our_o saviour_n sanction_n of_o tithe_n mat._n 23._o 23._o luk._n 11._o 42._o stubbs_n justification_n of_o the_o dutch_a war_n in_o two_o part_n with_o figure_n