of_o the_o sun_n orb_n on_o one_o side_n of_o the_o centre_n of_o the_o earth_n than_o there_o be_v on_o the_o other_o for_o which_o reason_n though_o the_o sun_n move_v equal_o each_o day_n in_o the_o circle_n of_o his_o yearly_a course_n yet_o to_o we_o he_o seem_v to_o move_v fast_o in_o some_o part_n thereof_o than_o he_o do_v in_o other_o and_o that_o make_v the_o right_a ascension_n great_a near_o one_o tropic_a than_o they_o be_v near_o the_o other_o and_o according_o by_o the_o table_n of_o the_o sun_n motion_n it_o be_v find_v that_o he_o take_v up_o but_o about_o 179_o day_n in_o pass_v that_o part_n of_o the_o ecliptic_a between_o libra_n and_o aries_n whereas_o between_o the_o two_o point_n of_o aries_n and_o libra_n he_o spend_v above_o 186_o so_o that_o he_o be_v almost_o 7_o day_n more_o in_o pass_v the_o summer_n half_a of_o the_o ecliptic_a than_o he_o be_v in_o pass_v that_o of_o the_o winter_n and_o this_o seem_o swift_a and_o slow_a motion_n of_o the_o sun_n be_v the_o cause_n that_o the_o right_a ascension_n of_o 10_o day_n motion_n near_o the_o winter_n tropic_n be_v 60_o minute_n or_o a_o whole_a degree_n more_o than_o those_o of_o the_o same_o number_n of_o day_n near_o that_o of_o the_o summer_n one_o the_o right_a ascension_n of_o 10_o day_n time_n near_o the_o 2_o equinoctial_a point_n do_v also_o differ_v somewhat_o for_o those_o of_o 10_o day_n time_n near_o aries_n be_v less_o by_o 30_o minute_n than_o those_o near_a libra_n the_o reason_n of_o which_o be_v from_o hence_o in_o that_o the_o sun_n great_a and_o near_a distance_n to_o the_o earth_n happen_v now_o in_o our_o time_n to_o be_v about_o 8_o degree_n and_o something_o more_o from_o the_o tropic_a point_n whereas_o have_v it_o fall_v out_o exact_o in_o the_o 2_o tropic_n than_o the_o right_a ascension_n near_o the_o two_o equinoctial_o will_v have_v be_v both_o alike_o now_o by_o what_o have_v be_v say_v i_o hope_v the_o true_a reason_n of_o the_o unequal_a length_n of_o natural_a day_n will_v plain_o appear_v and_o by_o consequence_n man_n will_v not_o hereafter_o be_v so_o unreasonable_o nice_a and_o curious_a as_o some_o have_v heretofore_o be_v to_o expect_v always_o a_o exact_a agreement_n between_o their_o clock_n and_o the_o sun_n for_o if_o there_o be_v from_o the_o nature_n of_o the_o fabric_n of_o the_o world_n and_o the_o celestial_a orb_n above_o we_o a_o necessity_n for_o those_o difference_n as_o be_v find_v in_o the_o sun_n be_v right_a ascension_n and_o there_o be_v for_o that_o reason_n a_o necessity_n also_o that_o the_o day_n bound_v thereby_o shall_v be_v unequal_a in_o proportion_n to_o those_o difference_n it_o be_v then_o plain_o impossible_a that_o a_o royal_a pendulum_n who_o diurnal_a revolution_n be_v always_o equal_a and_o if_o well_o adjust_v give_v you_o the_o true_a time_n of_o 24_o hour_n shall_v agree_v with_o the_o sun_n which_o make_v the_o length_n of_o day_n almost_o continual_o to_o differ_v and_o to_o be_v sometime_o more_o than_o 24_o hour_n and_o sometime_o less_o for_o in_o the_o first_o place_n this_o make_v it_o impossible_a to_o adjust_a a_o clock_n well_o bare_o by_o the_o sun_n for_o suppose_v one_o shall_v attempt_v to_o adjust_a a_o clock_n when_o the_o natural_a day_n be_v not_o full_o 24_o hour_n long_o as_o about_o the_o middle_n of_o march_n where_o as_o appear_v by_o the_o first_o annex_v table_n the_o day_n want_v 20″_n of_o 24_o hour_n long_o this_o clock_n bring_v to_o go_v correspondent_a to_o the_o day_n in_o march_n shall_v in_o june_n finish_v his_o pendulum_n day_n or_o his_o two_o 12_o hour_n revolution_n before_o the_o sun_n shall_v complete_o pass_v between_o one_o meridian_n and_o another_o that_o be_v before_o the_o sun_n shall_v pass_v from_o the_o hour_n of_o 12_o one_o day_n to_o that_o of_o the_o hour_n of_o 12_o on_o the_o next_o because_o now_o the_o natural_a day_n be_v long_a than_o 24_o hour_n by_o 13″_n whereas_o the_o day_n to_o which_o it_o be_v before_o adjust_v be_v 20″_n short_a than_o 24_o hour_n and_o by_o consequence_n the_o pendulum_n day_n of_o the_o clock_n must_v be_v finish_v soon_o in_o june_n by_o 33″_n than_o the_o natural_a day_n and_o gain_v each_o day_n 33_o second_o on_o the_o contrary_a if_o a_o clock_n can_v be_v adjust_v to_o the_o sun_n in_o the_o month_n of_o december_n at_o which_o time_n the_o natural_a day_n be_v long_a be_v then_o 31″_n or_o half_o a_o minute_n above_o 24_o hour_n in_o length_n this_o clock_n when_o natural_a day_n be_v short_a as_o in_o march_n where_o they_o want_v 20″_n of_o 24_o hour_n this_o clock_n i_o say_v shall_v not_o then_o finish_v his_o diurnal_a revolution_n in_o so_o little_a a_o time_n as_o those_o day_n shall_v be_v accomplish_v and_o by_o consequence_n shall_v go_v each_o day_n 50″_n too_o slow_a because_o those_o day_n in_o march_n be_v short_a by_o 50″_n than_o those_o in_o december_n to_o which_o your_o clock_n be_v suppose_v to_o be_v adjust_v suppose_a to_o be_v adjust_v i_o say_v for_o to_o do_v it_o exact_o by_o the_o sun_n we_o affirm_v to_o be_v impossible_a for_o the_o length_n of_o day_n continual_o alter_v he_o that_o will_v adjust_a a_o clock_n to_o the_o sun_n must_v be_v always_o alter_v of_o it_o according_o and_o if_o he_o shall_v accidental_o bring_v it_o to_o go_v slow_a enough_o as_o he_o think_v for_o some_o day_n such_o as_o those_o long_a one_o in_o december_n be_v the_o length_n of_o the_o day_n soon_o alter_v and_o become_v short_a he_o must_v again_o alter_v the_o length_n of_o his_o pendulum_n to_o make_v it_o go_v equal_a to_o day_n that_o be_v now_o short_a and_o so_o not_o understand_v the_o nature_n of_o time_n true_o nor_o of_o what_o length_n a_o mean_a or_o middle_a day_n be_v he_o will_v in_o hope_n of_o make_v it_o go_v always_o true_a be_v continual_o alter_v of_o it_o as_o he_o see_v it_o vary_v and_o that_o without_o ever_o be_v so_o happy_a as_o to_o make_v it_o keep_v the_o time_n desire_v for_o it_o be_v impossible_a a_o motion_n that_o keep_v always_o the_o same_o time_n that_o its_o particular_a length_n or_o pitch_n of_o pendulum_n do_v admit_v of_o can_v be_v so_o adjust_v by_o the_o bare_a sun_n as_o to_o accord_v therewith_o in_o all_o those_o various_a length_n of_o day_n which_o be_v make_v by_o its_o either_o slow_a or_o swift_a motion_n since_o than_o thing_n be_v thus_o it_o remain_v that_o we_o show_v how_o by_o art_n that_o may_v be_v do_v which_o by_o mere_a natural_a observation_n can_v never_o be_v effect_v that_o be_v by_o what_o mean_v a_o clock_n regulate_v by_o a_o royal_a pendulum_n may_v be_v adjust_v to_o such_o a_o middle_a pitch_n of_o motion_n as_o to_o make_v in_o a_o complete_a year_n just_a 365_o equal_a revolution_n or_o so_o that_o each_o of_o its_o 24_o hour_n may_v be_v the_o same_o for_o length_n as_o the_o 365th_o part_n of_o a_o year_n be_v which_o be_v indeed_o the_o true_a time_n of_o a_o 24_o hour_n day_n and_o that_o be_v the_o near_a and_o the_o most_o exact_a pitch_n to_o which_o it_o be_v possible_a to_o adjust_a the_o best_a of_o pendulum_n now_o this_o be_v only_o to_o be_v do_v by_o the_o help_n of_o a_o exact_a table_n of_o equation_n which_o shall_v as_o near_o as_o it_o be_v possible_a give_v you_o the_o true_a length_n of_o every_o day_n so_o that_o know_v by_o this_o mean_v not_o only_o which_o day_n be_v true_o 24_o hour_n long_o but_o also_o which_o be_v short_a and_o which_o be_v long_o it_o will_v be_v easy_a then_o to_o know_v what_o must_v be_v take_v from_o some_o or_o add_v unto_o other_o to_o make_v they_o equal_a to_o they_o that_o be_v true_o 24_o hour_n which_o in_o short_a be_v the_o true_a business_n of_o the_o equation_n of_o time_n and_o though_o this_o can_v be_v do_v in_o the_o natural_a day_n itself_o yet_o know_v how_o much_o all_o day_n do_v differ_v from_o 24_o hour_n the_o motion_n of_o a_o clock_n may_v yet_o be_v adjust_v thereby_o to_o a_o true_a pendulum_n or_o 24_o hour_n day_n by_o make_v it_o either_o lose_v or_o gain_v so_o much_o as_o the_o day_n do_v exceed_v or_o fall_v short_a of_o 24_o hour_n and_o this_o may_v well_o enough_o be_v perform_v by_o the_o table_n of_o sign_n and_o tangent_n for_o by_o these_o you_o may_v ready_o frame_v a_o table_n of_o the_o sun_n be_v natural_a right_a ascension_n and_o this_o shall_v show_v you_o what_o degree_n of_o the_o equinoctial_a be_v each_o day_n upon_o the_o true_a meridian_n when_o the_o sun_n come_v to_o it_o now_o these_o be_v in_o their_o measure_n of_o degree_n and_o minute_n sometime_o more_o and_o sometime_o less_o you_o must_v
know_v as_o to_o the_o exactness_n and_o steadiness_n of_o its_o motion_n which_o proceed_v from_o two_o property_n peculiar_a to_o this_o pendulum_n the_o one_o be_v the_o weightiness_n of_o its_o bob_n and_o the_o other_o the_o little_a compass_n in_o which_o it_o play_v the_o first_o of_o these_o make_v it_o less_o apt_a to_o be_v command_v by_o those_o accidental_a difference_n of_o strength_n that_o may_v sometime_o happen_v in_o the_o draught_n of_o the_o wheel_n and_o the_o other_o render_v the_o vibration_n more_o equal_a and_o exact_a as_o not_o be_v capable_a of_o alter_v so_o much_o in_o the_o distance_n of_o its_o swinge_v as_o those_o other_o kind_n of_o pendulum_n be_v who_o fetch_v a_o large_a and_o by_o consequence_n a_o less_o constant_a compass_n for_o pendulum_n that_o swing_v or_o vibrate_v very_o far_o out_o as_o all_o crown-wheel_n pendulum_n do_v be_v apt_a by_o reason_n of_o many_o accident_n that_o happen_v to_o vary_v much_o in_o the_o distance_n they_o swing_v and_o that_o be_v the_o reason_n they_o do_v not_o always_o go_v or_o move_v the_o same_o pace_n a_o large_a vibration_n take_v up_o more_o time_n to_o be_v perform_v in_o than_o lesser_a one_o do_v but_o the_o vibration_n of_o this_o pendulum_n of_o mr._n clement_n contrivance_n be_v so_o very_o exact_a and_o steady_a that_o when_o it_o be_v well_o in_o order_n and_o the_o air_n of_o the_o same_o consistence_n it_o shall_v in_o five_o hundred_o or_o a_o thousand_o revolution_n of_o its_o index_n keep_v so_o equal_a a_o time_n that_o no_o human_a art_n can_v discover_v the_o least_o considerable_a difference_n in_o any_o of_o its_o revolution_n a_o excellence_n to_o which_o no_o other_o know_v motion_n can_v as_o yet_o pretend_v and_o for_o which_o i_o think_v it_o will_v not_o be_v improper_a now_o at_o last_o to_o call_v it_o the_o royal_a pendulum_n but_o although_o the_o motion_n thereof_o be_v so_o very_o curious_o exact_a and_o equal_a yet_o it_o will_v not_o for_o all_o that_o regulate_v the_o motion_n of_o a_o clock_n in_o such_o a_o manner_n as_o that_o the_o index_n or_o hand_n shall_v continual_o agree_v with_o that_o time_n which_o the_o sun_n give_v for_o by_o constant_a experience_n we_o find_v that_o the_o best_a of_o clock_n when_o exact_o adjust_v will_v yet_o be_v find_v in_o some_o considerable_a time_n of_o go_v to_o be_v either_o too_o fast_o or_o too_o flow_v for_o the_o sun_n although_o it_o be_v at_o the_o first_o set_v right_a therewith_o now_o this_o disagreement_n can_v be_v occasion_v by_o any_o defect_n proper_a to_o the_o motion_n of_o the_o pendulum_n each_o twenty_o four_o hour_n of_o which_o when_o well_o rectify_v be_v the_o same_o for_o length_n of_o time_n but_o it_o do_v proceed_v from_o a_o irregularity_n in_o the_o sun_n be_v apparent_a motion_n which_o do_v occasion_n great_a diversity_n in_o the_o length_n of_o natural_a day_n it_o be_v general_o believe_v indeed_o that_o the_o natural_a day_n or_o the_o time_n between_o 12._o and_o 12._o a_o clock_n be_v always_o in_o length_n just_a 24._o hour_n but_o this_o be_v a_o great_a mistake_n for_o it_o will_v appear_v by_o the_o follow_a account_n of_o it_o that_o it_o be_v but_o in_o some_o part_n of_o the_o year_n that_o the_o day_n be_v so_o in_o all_o the_o other_o part_n between_o these_o they_o be_v find_v continual_o to_o differ_v be_v sometime_o above_o 24._o hour_n long_o and_o sometime_o less_o than_o 24._o hour_n and_o though_o the_o difference_n may_v seem_v but_o a_o small_a matter_n to_o some_o the_o great_a excess_n be_v not_o above_o half_a a_o minute_n yet_o if_o these_o seem_o but_o little_a difference_n be_v add_v together_o for_o the_o space_n of_o a_o month_n or_o two_o together_o they_o will_v amount_v to_o a_o very_a considerable_a sum_n of_o time_n now_o to_o make_v the_o reason_n of_o this_o irregular_a length_n of_o day_n as_o plain_a as_o i_o can_v be_v please_v to_o take_v notice_n that_o as_o natural_a day_n be_v that_o space_n of_o time_n in_o which_o the_o sun_n or_o as_o other_o think_v the_o earth_n by_o the_o motion_n of_o those_o orb_n that_o divide_v time_n into_o day_n be_v move_v round_o just_a one_o whole_a diurnal_a revolution_n or_o pass_v from_o the_o meridian_n or_o twelve_o a_o clock_n point_v of_o one_o day_n to_o that_o of_o the_o next_o so_o it_o must_v follow_v that_o all_o such_o natural_a day_n can_v be_v of_o a_o true_a and_o equal_a length_n unlese_v the_o sun_n in_o that_o space_n of_o time_n do_v also_o move_v in_o such_o a_o manner_n in_o his_o annual_a orb_n as_o that_o the_o equinoctial_a may_v be_v always_o divide_v into_o equal_a part_n by_o those_o meridian_n on_o which_o the_o sun_n be_v upon_o each_o particular_a day_n but_o that_o this_o be_v not_o do_v be_v plain_a to_o all_o that_o be_v verse_v in_o astronomy_n and_o right_o understand_v the_o use_n of_o the_o globe_n this_o a_o exact_a table_n of_o the_o sun_n be_v right_a ascension_n do_v demonstrate_v for_o by_o that_o it_o will_v be_v find_v that_o the_o meridian_n sun_n of_o each_o day_n do_v not_o divide_v the_o equinoctial_a into_o equal_a part_n their_o difference_n not_o be_v equal_a but_o more_o on_o some_o day_n than_o they_o be_v on_o other_o and_o these_o their_o difference_n will_v appear_v yet_o more_o plain_a and_o visible_a if_o you_o will_v be_v but_o at_o the_o pain_n to_o compute_v what_o the_o right_a ascension_n amount_v to_o in_o to_o or_o 20_o day_n time_n in_o some_o part_n of_o the_o year_n and_o compare_v that_o with_o those_o of_o the_o like_a number_n of_o day_n in_o some_o other_o part_n so_o also_o if_o on_o the_o globe_n you_o mark_v out_o on_o the_o ecliptic_a 10_o or_o 20_o day_n motion_n of_o the_o sun_n as_o it_o be_v find_v set_v down_o in_o a_o exact_a ephemeris_fw-la or_o almanac_n that_o show_v the_o sun_n be_v true_a place_n and_o pass_v this_o under_o the_o brazen_a meridian_n note_v what_o number_n of_o degree_n on_o the_o equinoctial_a be_v include_v in_o that_o space_n the_o which_o compare_n with_o those_o of_o the_o like_a number_n of_o day_n motion_n in_o some_o other_o part_n of_o the_o ecliptic_a and_o the_o degree_n so_o compare_v will_v be_v find_v to_o differ_v or_o be_v more_o in_o number_n in_o some_o place_n than_o they_o be_v in_o other_o which_o plain_o demonstrate_v the_o thing_n assert_v now_o the_o reason_n of_o these_o difference_n in_o the_o right_a ascension_n and_o by_o consequence_n in_o the_o different_a length_n of_o day_n proceed_v in_o the_o first_o place_n from_o the_o cross_a position_n of_o the_o zodiac_n and_o the_o equinoctial_a which_o on_o globe_n do_v represent_v the_o circle_n of_o the_o sun_n be_v yearly_a and_o daily_a motion_n for_o the_o course_n of_o the_o sun_n be_v daily_a motion_n be_v direct_o from_o east_n to_o west_n and_o the_o circle_n of_o his_o yearly_a motion_n be_v in_o position_n cross-way_n thereunto_o from_o the_o almost_o south_n west_n to_o the_o north_n east_n as_o by_o the_o globe_n be_v apparent_a it_o follow_v that_o the_o right_a ascension_n will_v be_v still_o unequal_a for_o it_o be_v impossible_a that_o the_o sun_n in_o his_o motion_n near_o aries_n and_o libra_n where_o the_o zodiac_n lie_v cross_v the_o equinoctial_a shall_v in_o any_o certain_a number_n of_o day_n make_v the_o same_o number_n of_o degree_n in_o right_a ascension_n as_o he_o will_v do_v near_o the_o two_o tropic_n of_o cancer_n and_o capricorn_n where_o the_o ecliptic_a run_v in_o a_o manner_n parallel_v to_o the_o equinoctial_a circle_n and_o according_o it_o be_v sound_a by_o the_o best_a table_n of_o right_a ascension_n that_o the_o right_a ascension_n belong_v to_o 10_o day_n motion_n of_o the_o sun_n near_o the_o tropic_a of_o capricorn_n amount_v to_o about_o 11_o degree_n 30_o minute_n whereas_o that_o of_o the_o same_o number_n of_o day_n near_o the_o equinoctial_a point_n of_o aries_n or_o libra_n will_v be_v find_v to_o be_v hardly_o 9_o degree_n and_o as_o the_o right_a ascension_n of_o the_o tropic_n differ_v from_o those_o of_o the_o equinoctial_a part_n of_o the_o ecliptic_a so_o the_o right_a ascension_n of_o one_o tropic_n differ_v from_o that_o of_o the_o other_o now_o the_o cause_n of_o this_o differ_v from_o the_o cause_n of_o the_o former_a unequality_n for_o this_o proceed_v from_o the_o excentricity_n of_o the_o centre_n of_o the_o earth_n and_o the_o centre_n of_o the_o sun_n be_v yearly_a orb_n for_o the_o centre_n of_o the_o earth_n on_o which_o we_o live_v not_o be_v the_o same_o with_o the_o centre_n of_o the_o ecliptic_a in_o which_o the_o sun_n move_v but_o distant_a from_o it_o as_o some_o astronomer_n affirm_v about_o 316000_o mile_n it_o follow_v that_o there_o must_v be_v a_o great_a part_n
show_v how_o many_o second_o those_o day_n be_v short_a than_o 24_o hour_n and_o here_o you_o be_v to_o note_v that_o in_o those_o part_n of_o the_o year_n where_o day_n be_v above_o 24_o hour_n long_o there_o a_o well_o adjust_v clock_n will_v gain_v because_o the_o pendulum-day_n which_o be_v the_o 24_o hour_n of_o its_o own_o motion_n will_v be_v finish_v before_o the_o natural-day_n be_v end_v on_o the_o contrary_a where_o the_o day_n be_v less_o in_o length_n than_o 24_o hour_n there_o the_o clock_n will_v lose_v or_o go_v too_o slow_a because_o the_o pendulum-day_n will_v not_o be_v end_v so_o soon_o as_o the_o natural_a one_o london_n print_v for_o r._n cumberland_n at_o the_o angel_n in_o s._n paul_n churchyard_n a_o second_o table_n of_o equation_n show_v how_o to_o order_v a_o welladjusted_n clock_n so_o as_o that_o the_o whole_a year_n round_o it_o shall_v not_o differ_v above_o the_o sixteen_o part_n of_o a_o hour_n from_o the_o sun_n or_o 3′_n 45″_n by_o john_n smith_z c._n m._n  _fw-fr jan._n feb._n mar._n apr._n may_v june_n july_n aug._n sept._n octo._n nou._n dec._n  _fw-fr ′_o ″_o ′_o ″_o ′_o ″_o ′_o ″_o ′_o ″_o ′_o ″_o ′_o ″_o ′_o ″_o ′_o ″_o ′_o ″_o ′_o ″_o ′_o ″_o 1_o 7_o â™_o 8_o 2_o 49_o 1_o 40_o 3_o 28_o 1_o 48_o  _fw-fr 59_o 1_o 34_o 1_o 28_o  _fw-fr 20_o 2_o 5_o  _fw-fr 34_o 2_o 43_o 2_o 3_o 21_o 2_o 49_o 1_o 57_o 3_o 11_o 1_o 51_o 1_o 00_o 1_o 41_o 1_o 19_o  _fw-fr 00_o 2_o 19_o  _fw-fr 43_o 3_o 12_o 3_o 2_o 58_o 2_o 47_o 2_o 14_o 2_o 55_o 1_o 54_o 1_o 11_o 1_o 48_o 1_o 10_o  _fw-fr 20_o 2_o 33_o  _fw-fr 53_o 7_o â™_o 28_o 4_o 2_o 35_o 2_o 45_o 2_o 32_o 2_o 39_o 1_o 55_o 5_o â™_o 8_o 1_o 55_o 1_o 1_o  _fw-fr 41_o 2_o 46_o 1_o 3_o 3_o 15_o 5_o 2_o 13_o 2_o 41_o 2_o 50_o 2_o 24_o 1_o 55_o 3_o 33_o 2_o 1_o  _fw-fr 50_o 1_o 2_o 2_o 59_o 1_o 13_o 2_o 45_o 6_o 1_o 52_o 2_o 37_o 3_o 8_o 2_o 9_o 1_o 55_o 3_o 11_o 2_o 7_o  _fw-fr 38_o 1_o 23_o 3_o 12_o 1_o 24_o 2_o 15_o 7_o 1_o 32_o 2_o 33_o 3_o 26_o 1_o 55_o 1_o 54_o 2_o 58_o 2_o 13_o  _fw-fr 25_o 1_o 44_o 3_o 25_o 1_o 36_o 1_o 45_o 8_o 1_o 13_o 2_o 28_o 7_o â™_o 29_o 1_o 41_o 1_o 52_o 2_o 45_o 2_o 19_o  _fw-fr 12_o 2_o 6_o 5_o â™_o 10_o 1_o 48_o 1_o 15_o 9_o  _fw-fr 55_o 2_o 23_o 3_o 27_o 1_o 27_o 1_o 50_o 2_o 32_o 2_o 24_o  _fw-fr 2_o 2_o 28_o 1_o 11_o 2_o 1_o  _fw-fr 45_o 10_o  _fw-fr 38_o 2_o 17_o 3_o 9_o 1_o 13_o 1_o 47_o 2_o 19_o 2_o 28_o  _fw-fr 16_o 2_o 50_o 1_o 1_o 2_o 16_o  _fw-fr 15_o 11_o  _fw-fr 22_o 2_o 9_o 2_o 51_o 1_o 0_o 1_o 44_o 2_o 6_o 2_o 32_o  _fw-fr 31_o 3_o 11_o  _fw-fr 52_o 2_o 33_o  _fw-fr 15_o 12_o  _fw-fr 6_o 2_o 1_o 2_o 33_o  _fw-fr 47_o 1_o 41_o 1_o 53_o 2_o 35_o  _fw-fr 46_o 7_o â™_o 17_o  _fw-fr 44_o 2_o 50_o  _fw-fr 45_o 13_o  _fw-fr 10_o 1_o 52_o 2_o 15_o  _fw-fr 35_o 1_o 37_o 1_o 40_o 2_o 37_o 1_o 1_o 3_o 25_o  _fw-fr 37_o 3_o 8_o 1_o 15_o 14_o  _fw-fr 26_o 1_o 43_o 1_o 56_o  _fw-fr 28_o 1_o 33_o 1_o 27_o 2_o 39_o 1_o 17_o 3_o 5_o  _fw-fr 30_o 3_o 26_o 1_o 45_o 15_o  _fw-fr 42_o 1_o 33_o 1_o 37_o  _fw-fr 12_o 1_o 28_o 1_o 14_o â—_o 40_o 1_o 33_o 2_o 45_o  _fw-fr 24_o 7_o â™_o 20_o 2_o 16_o 16_o  _fw-fr 57_o 1_o 23_o 1_o 1_o 17_o  _fw-fr 1_o 1_o 23_o 1_o 1_o 2_o 40_o 1_o 50_o 2_o 25_o  _fw-fr 18_o 3_o 25_o 2_o 47_o 17_o 1_o 1_o 1_o 12_o  _fw-fr 57_o  _fw-fr 9_o 1_o 17_o  _fw-fr 49_o 2_o 40_o 2_o 7_o 2_o 5_o  _fw-fr 13_o 3_o 4_o 7_o â™_o 3_o 18_o 1_o 24_o 1_o 00_o  _fw-fr 37_o  _fw-fr 19_o 1_o 11_o  _fw-fr 37_o 2_o 39_o 2_o 24_o 1_o 45_o  _fw-fr 9_o 2_o 42_o 3_o 14_o 19_o 1_o 36_o  _fw-fr 47_o  _fw-fr 17_o  _fw-fr 29_o 1_o 5_o  _fw-fr 26_o 2_o 37_o 2_o 42_o 1_o 25_o  _fw-fr 6_o 2_o 19_o 2_o 44_o 20_o 1_o 47_o  _fw-fr 34_o  _fw-fr 3_o  _fw-fr 39_o  _fw-fr 59_o  _fw-fr 15_o 2_o 34_o 3_o 00_o 1_o 9_o  _fw-fr 3_o 1_o 56_o 2_o 14_o 21_o 1_o 58_o  _fw-fr 21_o  _fw-fr 22_o  _fw-fr 49_o  _fw-fr 52_o  _fw-fr 4_o 2_o 30_o 3_o 19_o  _fw-fr 47_o  _fw-fr 1_o 1_o 32_o 1_o 44_o 22_o 2_o 8_o  _fw-fr 7_o  _fw-fr 41_o  _fw-fr 58_o  _fw-fr 44_o  _fw-fr 7_o 2_o 26_o 7_o â™_o 23_o  _fw-fr 28_o  _fw-fr 1_o 1_o 8_o 1_o 14_o 23_o 2_o 17_o  _fw-fr 7_o 1_o 00_o 1_o 5_o  _fw-fr 36_o  _fw-fr 18_o 2_o 22_o 3_o 26_o  _fw-fr 9_o  _fw-fr 1_o  _fw-fr 44_o  _fw-fr 44_o 24_o 2_o 25_o  _fw-fr 22_o 1_o 19_o 1_o 12_o  _fw-fr 27_o  _fw-fr 28_o 2_o 18_o 3_o 7_o  _fw-fr 10_o  _fw-fr 1_o  _fw-fr 19_o  _fw-fr 14_o 25_o 2_o 31_o  _fw-fr 37_o 1_o 38_o 1_o 19_o  _fw-fr 17_o  _fw-fr 38_o 2_o 13_o 2_o 48_o  _fw-fr 28_o  _fw-fr  _fw-fr  _fw-fr 6_o  _fw-fr 16_o 26_o 2_o 36_o  _fw-fr 52_o 1_o 57_o 1_o 25_o  _fw-fr 7_o  _fw-fr 48_o 2_o 8_o 2_o 29_o  _fw-fr 45_o  _fw-fr 4_o  _fw-fr 31_o  _fw-fr 41_o 27_o 2_o 40_o 1_o 7_o 2_o 16_o 1_o 30_o  _fw-fr 4_o  _fw-fr 38_o 2_o 3_o 2_o 9_o 1_o 2_o  _fw-fr 6_o  _fw-fr 56_o 1_o 12_o 28_o 2_o 43_o 1_o 23_o 2_o 35_o 1_o 35_o  _fw-fr 16_o 1_o 8_o 1_o 58_o 1_o 44_o 1_o 18_o  _fw-fr 9_o 1_o 22_o 1_o 40_o 29_o 2_o 46_o  _fw-fr  _fw-fr 2_o 54_o 1_o 40_o  _fw-fr 26_o 1_o 17_o 1_o 52_o 1_o 29_o 1_o 34_o  _fw-fr 13_o 1_o 48_o 2_o 7_o 30_o 2_o 48_o  _fw-fr  _fw-fr 3_o 13_o 1_o 44_o  _fw-fr 37_o 1_o 26_o 1_o 45_o 1_o 00_o 1_o 50_o  _fw-fr 19_o 2_o 15_o 2_o 34_o 31_o 2_o 49_o  _fw-fr  _fw-fr 7_o â™_o 16_o  _fw-fr  _fw-fr  _fw-fr 48_o  _fw-fr  _fw-fr 1_o 37_o  _fw-fr 40_o  _fw-fr  _fw-fr  _fw-fr 26_o  _fw-fr  _fw-fr 2_o 59_o note_v the_o day_n on_o which_o this_o mark_v â™_o be_v place_v be_v rectify_v day_n on_o any_o day_n then_o that_o be_v not_o a_o rectifying-day_n let_v the_o clock_n be_v set_v so_o much_o too_o slow_a as_o the_o black_a or_o so_o much_o too_o fast_o as_o the_o red_a figure_n express_v and_o so_o let_v he_o go_v on_o till_o a_o rectifying-day_n on_o which_o let_v he_o be_v set_v backward_o if_o the_o figure_n on_o the_o rectifying-day_n be_v black_a or_o forward_o if_o the_o figure_n be_v red_a just_o so_o many_o minute_n and_o second_o as_o the_o sum_n of_o figure_n be_v on_o the_o rectifying-day_n and_o continue_v so_o to_o do_v each_o rectifying-day_n follow_v and_o then_o the_o clock_n in_o the_o intermediate_n space_n between_o will_v agree_v with_o the_o sun_n as_o the_o figure_n in_o the_o table_n express_v that_o be_v will_v be_v either_o so_o must_v too_o fast_o or_o so_o much_o too_o slow_a london_n print_v for_o richard_n cumberland_n at_o the_o angel_n in_o s._n paul_n '_o s_o churchyard_n 1694._o of_o use_n no_o long_o than_o the_o sun_n shine_v the_o next_o to_o this_o of_o any_o value_n and_o esteem_v be_v that_o of_o the_o hourglass_n a_o excellent_a contrivance_n if_o its_o usefulness_n at_o all_o time_n be_v consider_v but_o the_o care_n require_v to_o keep_v it_o in_o continual_a motion_n do_v still_o excite_v the_o ingenious_a to_o endeavour_v the_o discovery_n of_o something_o else_o that_o may_v not_o only_o be_v yet_o more_o exact_a but_o free_a too_o from_o the_o continual_a toil_n as_o i_o may_v call_v it_o and_o trouble_v of_o attendance_n in_o process_n of_o time_n this_o come_v to_o be_v perform_v in_o part_n by_o the_o way_n of_o clockwork_a a_o device_n first_o of_o all_o start_v among_o the_o german_n from_o who_o the_o art_n of_o make_v clock_n disperse_v itself_o over_o other_o part_n of_o europe_n but_o as_o yet_o defective_a as_o to_o its_o exact_a and_o steady_a keep_n of_o time_n at_o length_n in_o holland_n a_o ingenious_a and_o learned_a gentleman_n mr._n christian_n hugens_n by_o name_n find_v out_o the_o way_n to_o regulate_v the_o uncertainty_n of_o its_o motion_n by_o the_o vibration_n of_o a_o pendulum_n from_o holland_n the_o fame_n of_o this_o invention_n soon_o pass_v over_o into_o england_n where_o several_a eminent_a and_o ingenious_a workman_n apply_v themselves_o to_o rectify_v some_o defect_n which_o as_o yet_o be_v find_v therein_o among_o which_o that_o eminent_a and_o well-known_a artist_n mr._n william_n clement_n have_v at_o last_o the_o good_a fortune_n to_o give_v it_o the_o finish_n strike_v he_o be_v indeed_o the_o real_a contriver_n of_o that_o curious_a kind_n of_o long_a pendulum_n which_o be_v at_o this_o day_n so_o universal_o in_o use_n among_o we_o a_o invention_n that_o exceed_v all_o other_o yet_o
next_o find_v out_o what_o a_o mean_a or_o equal_a right_a ascension_n will_v amount_v to_o by_o divide_v the_o 360_o degree_n of_o the_o equinoctial_a into_o 365_o part_n agreeable_a to_o the_o number_n of_o day_n contain_v in_o a_o year_n then_o compare_v each_o natural_a right_a ascension_n with_o the_o mean_a one_o and_o by_o substract_v the_o lesser_a from_o the_o great_a you_o will_v by_o turn_v the_o difference_n between_o they_o into_o time_n come_v to_o know_v their_o true_a equation_n that_o be_v how_o much_o each_o day_n be_v long_a or_o short_a than_o 24_o hour_n for_o so_o much_o as_o the_o natural_a right_a ascension_n be_v more_o than_o the_o mean_a in_o time_n so_o much_o be_v that_o day_n long_o than_o 24_o hour_n and_o so_o much_o as_o the_o natural_a be_v less_o than_o the_o mean_a so_o much_o be_v that_o day_n want_v of_o 24_o hour_n long_o but_o man_n may_v now_o well_o spare_v themselves_o the_o trouble_n of_o do_v this_o in_o regard_n that_o table_n of_o this_o nature_n be_v already_o publish_v by_o divers_a excellent_a and_o learned_a man_n as_o first_o by_o mr._n hugens_n print_v novem._n 29._o of_o the_o philosophical_a transaction_n second_o by_o mr._n flamsteed_o common_o make_v use_n of_o by_o mr._n tompion_n print_v also_o in_o parker_n almanac_n three_o by_o mr._n molyneux_n in_o his_o sciothericum_n telescopicum_fw-la or_o ingenious_a tract_n of_o the_o telescope_n dial._n four_o by_o the_o learned_a dr._n william_n salmon_n in_o his_o almanac_n for_o this_o year_n 1694._o and_o five_o by_o mr._n samuel_n watson_n the_o curious_a contriver_n of_o that_o rare_a celestial_a orbitery_n now_o in_o the_o present_a queen_n mary_n possession_n in_o each_o of_o which_o the_o equation_n be_v near_o enough_o the_o same_o for_o substance_n as_o you_o will_v soon_o find_v by_o substract_v any_o of_o their_o number_n from_o the_o great_a next_o it_o and_o it_o be_v not_o material_a which_o you_o choose_v provide_v you_o understand_v they_o right_o but_o for_o my_o part_n i_o believe_v from_o good_a experience_n there_o be_v not_o many_o that_o true_o do_v this_o and_o therefore_o have_v for_o some_o reason_n which_o i_o shall_v not_o now_o mention_v make_v choice_n of_o mr._n hugens_n equation_n for_o the_o use_v intend_v in_o this_o work_n i_o have_v think_v fit_a to_o cast_v they_o into_o such_o peculiar_a form_n of_o my_o own_o as_o i_o judge_v more_o plain_a and_o natural_a than_o they_o be_v in_o the_o form_n in_o which_o i_o find_v they_o publish_v in_o the_o philosophical_a transaction_n and_o i_o believe_v will_n by_o the_o generality_n of_o they_o that_o be_v possess_v of_o royal_a pendulum_n be_v better_o understand_v too_o now_o in_o order_n to_o understand_v right_o the_o first_o equation_n table_n for_o length_n of_o day_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 colume_n belong_v to_o the_o month_n who_o name_n be_v set_v over_o they_o in_o the_o which_o d_o 24._o denote_v which_o day_n in_o the_o year_n be_v just_a 24_o hour_n long_o and_o where_o you_o find_v red_a figure_n there_o the_o day_n be_v so_o many_o second_o of_o time_n above_o 24_o hour_n long_o as_o the_o figure_n express_v and_o wherever_o the_o figure_n be_v black_a there_o the_o day_n want_v so_o much_o of_o be_v 24_o hour_n as_o those_o figure_n in_o second_o of_o time_n do_v amount_v to_o so_o that_o by_o the_o colour_n of_o the_o figure_n you_o may_v discern_v at_o what_o time_n the_o clock_n will_v natural_o gain_v or_o lose_v and_o by_o the_o sum_n thereof_o you_o will_v know_v the_o time_n so_o lose_v or_o get_v each_o day_n the_o table_n be_v thus_o brief_o explain_v i_o shall_v now_o show_v how_o thereby_o to_o adjust_a a_o royal_a pendulum_n so_o exact_o as_o that_o its_o diurnal_a or_o daily_a revolution_n which_o be_v that_o of_o its_o twice_o 12_o hour_n go_v may_v be_v equal_a to_o the_o true_a 24_o hour-day_n to_o do_v this_o let_v the_o clock_n be_v set_v right_o to_o the_o sun_n and_o note_v the_o day_n on_o which_o it_o be_v so_o set_v then_o let_v it_o continue_v go_v till_o you_o find_v the_o time_n give_v by_o the_o sun_n and_o that_o which_o the_o clock_n show_v visible_o to_o disagree_v observe_v then_o how_o much_o the_o difference_n be_v that_o be_v how_o much_o it_o be_v either_o too_o fast_o or_o too_o slow_a then_o count_v how_o much_o the_o whole_a number_n of_o second_o amount_n to_o include_v between_o the_o two_o day_n of_o your_o first_o set_v and_o last_v observe_v save_v one_o by_o allow_v 60_o second_o to_o one_o minute_n of_o time_n and_o if_o the_o difference_n between_o the_o clock_n and_o the_o sun_n be_v equal_a to_o what_o the_o sum_n of_o equation_n so_o cast_v up_o amount_n to_o then_o be_v the_o pendulum_n very_o well_o and_o true_o aju_v but_o in_o do_v this_o that_o be_v in_o sum_v up_o the_o equation_n contain_v in_o the_o table_n you_o must_v be_v sure_a to_o observe_v as_o i_o say_v to_o take_v in_o the_o equation_n of_o the_o day_n on_o which_o you_o set_v it_o and_o leave_v out_o that_o which_o belong_v to_o the_o day_n of_o your_o last_o observe_v for_o shall_v the_o last_o be_v take_v in_o they_o will_v make_v the_o sum_n of_o second_o lose_v or_o get_v to_o be_v so_o much_o more_o than_o the_o truth_n and_o if_o it_o have_v both_o get_v or_o lose_v during_o the_o time_n it_o have_v go_v as_o it_o sometime_o may_v happen_v when_o the_o sun_n appear_v not_o of_o a_o long_a time_n to_o make_v a_o observation_n than_o you_o must_v subtract_v the_o lesser_a sum_n of_o equation_n from_o the_o great_a and_o the_o remainder_n shall_v show_v the_o true_a time_n lose_v or_o get_v as_o if_o the_o gain_v number_n be_v 20_o and_o the_o lose_v 15_o than_o the_o true_a time_n it_o shall_v have_v get_v be_v just_a 5_o minute_n but_o if_o the_o clock_n have_v go_v more_o too_o fast_o or_o too_o slow_a than_o the_o sum_n of_o the_o equation_n in_o the_o table_n amount_v to_o then_o must_v the_o motion_n of_o it_o be_v alter_v according_o by_o screw_v up_o the_o bob_n or_o make_v the_o pendulum_n short_a in_o case_n it_o have_v go_v too_o slow_a or_o by_o let_v the_o bob_n down_o long_o in_o case_n it_o have_v go_v 100_o fast_a and_o then_o have_v set_v it_o true_a to_o the_o sun_n a_o second_o time_n try_v it_o again_o as_o you_o be_v before_o direct_v and_o if_o its_o disagreement_n with_o the_o sun_n be_v not_o yet_o answerable_a to_o the_o sum_n of_o the_o equation_n belong_v to_o the_o time_n it_o have_v go_v in_o let_v the_o bob_n be_v rectify_v a_o second_o time_n and_o let_v the_o clock_n be_v set_v a_o new_a and_o thus_o continue_v to_o do_v till_o you_o find_v its_o difference_n with_o the_o sun_n to_o be_v near_o equal_a to_o the_o sum_n of_o equation_n contain_v in_o the_o table_n now_o when_o the_o clock_n be_v by_o this_o mean_v adjust_v right_a its_o daily_a revolution_n or_o each_o 24_o hour_n time_n of_o its_o go_n will_v be_v equal_a to_o the_o true_a 24_o hour-day_n or_o the_o just_a 365th_o part_n of_o a_o year_n for_o if_o a_o year_n be_v exact_o divide_v into_o 365_o part_n each_o of_o these_o part_n will_v be_v equal_a in_o length_n to_o the_o 24_o hour_n motion_n of_o a_o welladju_v pendulum_n and_o the_o motion_n of_o a_o pendulum_n so_o exact_o regulate_v will_v be_v such_o that_o if_o it_o be_v at_o any_o time_n set_v right_a and_o so_o let_v go_v the_o whole_a year_n about_o it_o will_v the_o same_o day_n twelvemonth_n agree_v near_o with_o the_o dial_n to_o which_o it_o be_v set_v a_o year_n before_o but_o yet_o in_o its_o course_n of_o thus_o go_v a_o whole_a year_n round_o it_o will_v sometime_o be_v find_v to_o differ_v very_o much_o from_o the_o same_o dial_n it_o be_v at_o first_o set_v to_o and_o these_o various_a difference_n which_o its_o motion_n will_v be_v subject_a to_o will_v still_o be_v agreeable_a to_o what_o the_o nature_n of_o the_o time_n be_v it_o be_v set_v in_o for_o set_v at_o one_o time_n of_o the_o year_n it_o will_v be_v always_o more_o or_o less_o too_o slow_a till_o the_o time_n of_o its_o come_n right_o the_o same_o day_n twelve_o month_n set_v at_o another_o time_n it_o will_v go_v always_o too_o fast_o till_o just_a the_o same_o day_n twelve_o month_n set_v at_o some_o other_o time_n it_o will_v go_v sometime_o too_o fast_o and_o sometime_o too_o slow_a the_o reason_n of_o which_o be_v plain_a and_o evident_a by_o the_o table_n of_o equation_n that_o give_v the_o length_n of_o natural_a day_n for_o it_o appear_v by_o that_o that_o in_o all_o that_o space_n where_o black_a figure_n be_v
find_v there_o the_o clock_n will_v still_o go_v too_o slow_a because_o the_o pendulum_n day_n be_v long_a than_o the_o natural_a day_n on_o the_o contrary_a where_o the_o red_a figure_n be_v find_v there_o a_o well_o adjust_v clock_n will_v go_v always_o too_o fast_o because_o there_o the_o pendulum_n day_n be_v short_a than_o the_o natural_a day_n and_o by_o consequence_n be_v finish_v before_o it_o now_o it_o be_v plain_a that_o if_o a_o clock_n be_v set_v right_o to_o the_o sun_n the_o first_o of_o february_n it_o must_v go_v all_o the_o year_n after_o too_o slow_a because_o the_o lose_n between_o that_o and_o the_o four_o of_o may_n be_v so_o much_o that_o it_o never_o gain_v it_o up_o till_o the_o very_a last_o part_n of_o its_o year_n go_v on_o the_o contrary_a if_o it_o be_v set_v right_o the_o twenty_o three_o of_o october_n it_o will_v gain_v so_o much_o by_o the_o last_o of_o january_n as_o no_o loss_n shall_v afterward_o countervail_v but_o that_o in_o the_o very_a last_o part_n of_o its_o year_n go_v between_o the_o sixteen_o of_o july_n and_o the_o twenty_o first_o of_o october_n it_o be_v likewise_o as_o plain_a that_o if_o a_o clock_n be_v set_v right_o the_o four_o of_o may_n it_o will_v then_o in_o the_o time_n of_o a_o year_n go_v be_v both_o too_o fast_o and_o too_o slow_a for_o the_o gain_n at_o first_o be_v less_o than_o the_o next_o lose_v it_o will_v be_v too_o slow_a by_o the_o twenty_o first_o of_o october_n though_o it_o be_v too_o fast_o the_o fifteen_o of_o july_n and_o the_o like_a will_v happen_v if_o it_o be_v set_v right_o the_o seventeen_o of_o july_n for_o the_o lose_v that_o follow_v be_v less_o than_o the_o next_o gain_v between_o october_n 24_o and_o january_n 31._o it_o must_v by_o consequence_n be_v sometime_o too_o fast_o and_o sometime_o too_o slow_a so_o that_o as_o a_o clock_n may_v happen_v to_o be_v set_v it_o may_v in_o some_o considerable_a time_n of_o go_v be_v almost_o half_a a_o hour_n too_o fast_o or_o half_o a_o hour_n too_o slow_a though_o as_o to_o its_o own_o motion_n it_o go_v exact_a and_o true_a as_o it_o shall_v do_v and_o for_o this_o there_o be_v no_o help_n unless_o you_o understand_v well_o the_o nature_n of_o time_n and_o know_v when_o and_o in_o what_o manner_n to_o set_v the_o clock_n so_o as_o that_o for_o some_o good_a length_n of_o time_n after_o he_o may_v so_o humour_v the_o sun_n motion_n as_o never_o to_o be_v very_o far_o distant_a from_o it_o but_o sometime_o too_o fast_o a_o little_a and_o in_o a_o little_a time_n fall_v back_o again_o as_o it_o be_v and_o so_o come_v to_o be_v right_a therewith_o and_o then_o in_o a_o little_a time_n after_o be_v a_o little_a too_o slow_a now_o therefore_o in_o order_n to_o the_o reduce_n of_o the_o motion_n of_o a_o well_o adjust_v clock_n much_o near_a the_o time_n give_v by_o the_o sun_n than_o as_o yet_o any_o know_a rule_n will_v direct_v we_o i_o have_v with_o great_a care_n and_o pain_n compose_v a_o second_o table_n of_o equation_n that_o show_v how_o a_o good_a and_o well_o adjust_v pendulum_n may_v be_v keep_v all_o the_o year_n round_o within_o a_o great_a deal_n less_o for_o the_o most_o part_n than_o 3′_n 45″_n of_o the_o time_n give_v by_o the_o sun_n or_o the_o four_o part_n of_o a_o quarter_n of_o a_o hour_n which_o be_v so_o small_a a_o matter_n as_o not_o to_o be_v perceive_v in_o common_a business_n now_o in_o the_o explanation_n of_o the_o second_o table_n note_n that_o the_o first_o column_n contain_v the_o day_n of_o every_o month_n the_o other_o twelve_o colume_n belong_v to_o the_o twelve_o month_n of_o the_o year_n who_o name_n be_v place_v over_o they_o the_o black_a figure_n in_o any_o part_n of_o the_o colume_n show_v where_o and_o how_o much_o a_o clock_n in_o the_o natural_a course_n of_o its_o motion_n according_a to_o the_o design_n of_o the_o table_n will_v lose_v or_o go_v too_o slow_a the_o red_a figure_n show_v in_o what_o part_n of_o the_o year_n and_o how_o much_o in_o minute_n and_o second_o of_o time_n the_o clock_n will_v go_v too_o fast_o as_o for_o the_o day_n on_o which_o you_o find_v this_o character_n ☉_o those_o day_n i_o call_v rectify_v day_n because_o on_o they_o the_o clock_n be_v still_o to_o be_v new_o set_v in_o order_n to_o keep_v it_o the_o better_a within_o the_o limit_n design_v by_o the_o table_n the_o table_n thus_o explain_v i_o shall_v come_v now_o to_o show_v you_o the_o use_v that_o may_v be_v make_v thereof_o and_o first_o i_o will_v show_v you_o how_o by_o the_o table_n also_o as_o well_o as_o by_o the_o first_o a_o clock_z maybe_o adjust_v now_o to_o do_v this_o let_v this_o clock_n be_v set_v to_o the_o sun_n on_o any_o day_n that_o be_v not_o a_o rectify_v day_n observe_v this_o always_o to_o set_v it_o so_o much_o too_o fast_o as_o the_o red_a or_o too_o slow_a as_o the_o black_a figure_n do_v express_v and_o then_o let_v it_o go_v for_o any_o considerable_a time_n provide_v it_o be_v not_o beyond_o a_o rectify_v day_n and_o note_v whether_o its_o gain_n or_o loss_n be_v at_o any_o time_n equal_a to_o what_o the_o table_n allow_v if_o it_o be_v than_o the_o clock_n be_v true_o adjust_v but_o if_o it_o have_v lose_v or_o get_v more_o or_o less_o than_o it_o shall_v do_v then_o rectify_v the_o bob_n by_o make_v it_o short_a if_o it_o have_v go_v too_o slow_a or_o screw_v it_o down_o long_o in_o case_n it_o have_v go_v too_o fast_o then_o set_v it_o anew_o and_o observe_v it_o a_o second_o time_n continue_v your_o alter_n of_o the_o bob_n and_o new_a set_n till_o you_o have_v bring_v it_o to_o right_n for_o example_n suppose_v you_o set_v it_o the_o six_o of_o january_n you_o must_v upon_o this_o day_n set_v it_o too_o slow_a by_o one_o minute_n fifty_o two_o second_o because_o the_o time_n be_v there_o set_v down_o in_o black_a figure_n let_v it_o go_v till_o the_o 11_o of_o february_n on_o which_o day_n if_o it_o be_v well_o adjust_v it_o must_v be_v 2′_n 9″_n too_o fast_o because_o that_o sum_n of_o time_n be_v there_o set_v down_o in_o red_a figure_n but_o if_o it_o shall_v happen_v to_o be_v too_o slow_a or_o too_o fast_o for_o that_o time_n as_o suppose_v 10_o minute_n too_o fast_o instead_o of_o 2′_n 9″_n you_o must_v then_o adjust_a it_o near_o by_o screw_v the_o nut_n of_o the_o bob_n down_o lower_v or_o make_v it_o long_o by_o what_o mean_v soever_o the_o same_o be_v to_o be_v effect_v then_o set_v it_o anew_o just_a so_o much_o too_o fast_o as_o the_o table_n for_o that_o day_n do_v allow_v and_o so_o let_v it_o go_v till_o the_o four_o or_o 5_o of_o march_n on_o which_o day_n observe_v it_o again_o and_o correct_v what_o you_o find_v to_o be_v amiss_o in_o the_o motion_n note_v hear_v that_o in_o adjust_v by_o this_o table_n you_o save_v yourself_o the_o labour_n of_o cast_v up_o the_o sum_n of_o those_o equation_n that_o belong_v to_o the_o time_n the_o clock_n have_v go_v in_o and_o by_o consequence_n the_o work_n of_o adjust_v will_v be_v easy_o do_v by_o this_o than_o by_o the_o former_a table_n when_o the_o clock_n be_v well_o adjust_v it_o may_v then_o be_v keep_v the_o whole_a year_n about_o as_o near_o the_o true_a time_n as_o the_o design_n of_o the_o table_n allow_v of_o by_o the_o follow_a method_n about_o 12_o a_o clock_n on_o any_o day_n which_o be_v not_o a_o rectify_v day_n set_v it_o so_o much_o too_o fast_o or_o too_o slow_a for_o the_o sun_n as_o the_o equation_n in_o the_o table_n for_o that_o day_n come_v to_o that_o be_v too_o slow_a if_o the_o figure_n be_v black_a or_o too_o fast_o if_o the_o figure_n be_v red_a then_o let_v it_o go_v on_o till_o a_o rectify_v day_n come_v which_o be_v know_v in_o the_o table_n by_o this_o mark_n ☉_o upon_o which_o day_n about_o noon_n set_v it_o backward_o from_o the_o place_n where_o the_o hand_n then_o stand_v if_o the_o figure_n on_o that_o day_n be_v black_a or_o forward_o if_o they_o be_v red_a so_o much_o in_o time_n as_o the_o figure_n express_v and_o observe_v to_o do_v the_o same_o upon_o every_o other_o rectify_v day_n and_o then_o if_o the_o clock_n be_v well_o adjust_v it_o will_v go_v in_o all_o the_o intermediate_v part_n according_a to_o the_o time_n give_v by_o the_o table_n take_v one_o example_n to_o make_v this_o plain_a suppose_v you_o have_v not_o a_o opportunity_n to_o set_v it_o till_o the_o 18_o of_o january_n the_o equation_n for_o that_o day_n be_v one_o minute_n 24_o second_o too_o fast_o because_o the_o figure_n be_v red_a let_v it_o therefore_o be_v set_v
so_o much_o too_o fast_o for_o the_o sun_n and_o let_v it_o go_v till_o the_o 8_o of_o march_n on_o which_o day_n about_o 12_o a_o clock_n set_v it_o forward_o from_o the_o place_n the_o hand_n be_v at_o 7′_n 29″_n because_o the_o figure_n be_v red_a and_o then_o instead_o of_o be_v too_o slow_a as_o it_o before_o be_v it_o will_v be_v make_v to_o be_v 3′_n 45″_n too_o fast_o let_v it_o go_v till_o the_o 31st_o of_o that_o month_n and_o then_o set_v it_o again_o forward_a 7′_n 16″_n after_o which_o on_o the_o four_o of_o june_n set_v it_o back_o 5′_n 8″_n because_o there_o you_o find_v black_a figure_n on_o the_o 22d_o of_o august_n set_v it_o also_o forward_a 7′_n 23″_n and_o on_o the_o 12_o of_o september_n 7′_n 17″_n set_v it_o forward_o likewise_o on_o the_o 8_o of_o october_n 5′_n 20″_n and_o also_o on_o the_o 15_o of_o november_n 7′_n 20″_n likewise_o on_o the_o 3d_o of_o december_n let_v it_o be_v set_v back_o 7′_n 28″_n and_o on_o the_o 18_o 7′_n 3″_n and_o on_o the_o first_o day_n of_o the_o next_o year_n 7′_n 8″_n and_o thus_o with_o a_o very_a little_a pain_n and_o trouble_v you_o may_v keep_v a_o clock_n near_o the_o true_a time_n of_o the_o day_n by_o a_o more_o easy_a way_n and_o method_n than_o have_v at_o any_o time_n be_v practise_v heretofore_o but_o in_o case_n you_o shall_v miss_v rectify_v your_o clock_n on_o a_o rectify_v day_n than_o you_o must_v the_o next_o or_o any_o other_o day_n follow_v set_v he_o by_o the_o sun_n so_o much_o too_o fast_o or_o too_o slow_a as_o the_o nature_n of_o the_o table_n require_v and_o then_o he_o will_v again_o go_v on_o in_o that_o order_n which_o the_o design_n of_o the_o table_n make_v necessary_a that_o be_v he_o will_v then_o be_v capable_a of_o humour_v the_o sun_n motion_n so_o far_o as_o that_o between_o be_v sometime_o a_o little_a too_o slow_a and_o othertime_n a_o little_a too_o fast_o it_o will_v with_o a_o little_a rectification_n be_v always_o within_o less_o than_o a_o four_o part_n of_o a_o quarter_n of_o a_o hour_n of_o the_o true_a time_n in_o such_o clock_n as_o show_v not_o minute_n the_o time_n of_o set_v must_v be_v guest_n at_o as_o well_o as_o you_o can_v now_o the_o reason_n of_o thus_o set_v a_o clock_n sometime_o backward_o and_o sometime_o forward_o upon_o the_o rectify_v day_n be_v this_o if_o a_o clock_n at_o the_o begin_n of_o the_o year_n be_v set_v to_o the_o sun_n according_a to_o the_o former_a direction_n it_o will_v be_v too_o slow_a by_o the_o 8_o of_o march_n at_o noon_n 3′_n 44″_n now_o the_o design_n of_o the_o table_n be_v to_o keep_v the_o clock_n so_o as_o that_o it_o shall_v at_o no_o time_n disagree_v with_o the_o sun_n above_o 3′_n 45′_n or_o the_o four_o part_n of_o a_o quarter_n of_o a_o hour_n i_o then_o to_o prevent_v its_o being_n more_o too_o slow_a as_o it_o will_v if_o let_v go_v long_o be_o necessitate_v to_o set_v it_o forward_o 7′_n 24″_n and_o then_o it_o will_v be_v too_o fast_o for_o the_o sun_n 3′_n 45″_n now_o the_o clock_n natural_o lose_v at_o this_o time_n of_o the_o year_n it_o will_v again_o by_o the_o 31st_o day_n be_v too_o slow_a 3′_n 31″_n now_o the_o clock_n be_v still_o natural_o incline_v to_o lose_v i_o therefore_o to_o prevent_v his_o be_v above_o 3′_n 45″_n too_o slow_a set_v he_o again_o 7′_n 16″_n forward_o from_o the_o place_n where_o the_o hand_n than_o stand_v and_o so_o he_o be_v again_o too_o fast_o for_o the_o sun_n 3′_n 45′_n which_o be_v the_o most_o that_o i_o suffer_v he_o to_o differ_v from_o the_o apparent_a time_n now_o after_o this_o he_o go_v on_o for_o about_o 9_o week_n will_v the_o four_o of_o june_n be_v too_o fast_a 1′_n 23″_n at_o which_o time_n i_o set_v he_o back_o 5′_n 8″_n that_o so_o he_o may_v be_v now_o 3′_n 45″_n too_o slow_a for_o by_o thus_o do_v he_o will_v continue_v go_v the_o long_o before_o he_o will_v require_v to_o be_v again_o new_o set_v which_o next_o happen_v to_o be_v august_n 22d_o which_o be_v above_o 11_o week_n time_n now_o the_o like_a reason_n be_v the_o cause_n of_o his_o require_v to_o be_v set_v anew_o in_o any_o other_o place_n or_o part_n of_o the_o year_n and_o here_o i_o think_v fit_a to_o add_v one_o caution_n to_o those_o that_o desire_v to_o adjust_a their_o clock_n very_o nice_o and_o that_o be_v that_o among_o dial_n they_o make_v use_v only_o of_o the_o horizontal_a or_o brass_n dial_n which_o be_v fix_v on_o post_n for_o no_o other_o can_v possible_o give_v the_o time_n so_o near_o the_o truth_n neither_o on_o that_o shall_v they_o make_v use_n of_o above_o one_o certain_a hour_n and_o the_o near_a noon_n that_o be_v the_o better_a for_o it_o be_v a_o difficult_a thing_n even_o for_o the_o best_a master_n in_o this_o art_n to_o draw_v a_o dial_n so_o true_a as_o to_o contain_v a_o equal_a time_n between_o all_o its_o hour_n which_o though_o in_o other_o case_n it_o be_v not_o very_o material_a yet_o in_o this_o of_o adjust_v a_o clock_n it_o may_v cause_v a_o considerable_a error_n beside_o few_o dial_n be_v fit_v true_o to_o the_o latitude_n in_o which_o they_o stand_v and_o if_o we_o can_v be_v certain_a that_o all_o be_v right_a as_o to_o these_o particular_n yet_o no_o human_a art_n can_v prevent_v the_o sun_n refraction_n which_o as_o they_o make_v his_o body_n appear_v much_o big_a when_o near_o the_o horizon_n so_o they_o make_v he_o for_o a_o good_a part_n of_o the_o day_n to_o show_v to_o we_o high_o than_o real_o he_o be_v and_o that_o must_v cause_v he_o to_o give_v a_o false_a shadow_n on_o the_o true_a dial_n so_o that_o these_o particular_n consider_v together_o it_o be_v plain_a that_o there_o can_v be_v no_o true_a account_n take_v of_o the_o time_n till_o near_a noon_n or_o 12_o a_o clock_n and_o he_o that_o watch_v for_o that_o moment_n need_v not_o matter_n the_o falseness_n of_o the_o dial_n wrong_a latitude_n nor_o refraction_n neither_o because_o upon_o the_o meridian_n let_v the_o sun_n be_v high_a or_o low_o yet_o it_o still_o give_v you_o the_o true_a 12_o a_o clock_n but_o in_o regard_n it_o be_v so_o very_o hard_o to_o distinguish_v to_o a_o minute_n by_o the_o shadow_n of_o the_o best_a dial_n small_a one_o not_o admit_v of_o minute_n division_n and_o in_o large_a one_o the_o haziness_n or_o faintness_n of_o the_o shadow_n render_v a_o minute_n difficult_a to_o be_v discern_v exact_o it_o will_v therefore_o be_v better_a if_o instead_o of_o a_o dial_n you_o make_v use_v of_o the_o follow_a device_n which_o i_o call_v a_o meridian_n cranny_n take_v then_o two_o plain_a and_o flat_a plate_n or_o board_n about_o six_o or_o eight_o inch_n square_a join_v they_o so_o close_o as_o that_o a_o old_a groat_n or_o a_o six_o penny_n at_o the_o most_o may_v but_o pass_v between_o they_o let_v they_o be_v then_o fix_v so_o as_o that_o the_o chink_n or_o cranny_n between_o they_o may_v respect_v as_o near_o as_o may_v be_v the_o meridian_n or_o true_a south_n point_n this_o will_v plain_o give_v you_o the_o time_n to_o half_a a_o minute_n and_o less_o if_o you_o be_v careful_a to_o watch_v for_o the_o very_a first_o beam_n that_o by_o the_o sun_n be_v come_v to_o the_o south_n shall_v be_v dart_v through_o it_o which_o may_v be_v perceive_v in_o a_o moment_n by_o the_o help_n of_o a_o smooth_a board_n or_o plate_n of_o brass_n make_v black_a and_o place_v near_o it_o on_o the_o north_n side_n to_o receive_v the_o light_n by_o this_o mean_v the_o true_a time_n of_o the_o sun_n be_v come_v to_o the_o very_a same_o point_n on_o the_o meridian_n may_v be_v more_o exact_o obtain_v than_o it_o can_v be_v by_o the_o best_a and_o true_a dial_n except_o such_o a_o one_o as_o be_v describe_v by_o mr._n molyneux_n in_o his_o sciothericum_n telescopicum_fw-la but_o now_o although_o the_o true_a time_n of_o the_o sun_n be_v come_v to_o the_o south_n may_v by_o this_o mean_n be_v more_o near_o obtain_v yet_o you_o will_v for_o all_o that_o find_v the_o work_n of_o true_o adjust_v a_o clock_n to_o be_v exceed_o difficult_a especial_o to_o do_v it_o precise_o when_o you_o have_v already_o bring_v to_o go_v pretty_a near_o true_a and_o this_o have_v make_v some_o to_o censure_v the_o equation_n table_n as_o false_a because_o they_o can_v never_o adjust_a a_o clock_n so_o as_o to_o accord_v therewith_o exact_o or_o come_v right_o the_o same_o day_n twelve_o month_n with_o that_o dial_n to_o which_o it_o be_v set_v a_o year_n before_o now_o that_o i_o may_v do_v right_a to_o truth_n i_o affirm_v that_o this_o proceed_v not_o from_o any_o material_a
be_v fine_a or_o courser_n yet_o by_o this_o table_n you_o may_v ready_o know_v into_o how_o many_o division_n its_o nut_n must_v be_v divide_v note_v that_o if_o the_o clock_n have_v get_v or_o lose_v in_o a_o day_n above_o one_o second_o than_o you_o must_v turn_v the_o nut_n about_o so_o many_o division_n as_o if_o it_o have_v lose_v in_o 60_o day_n 4_o minute_n which_o be_v 4_o second_o in_o a_o day_n turn_v it_o then_o upward_o 4_o division_n and_o that_o will_v make_v it_o go_v 4_o second_o in_o a_o day_n fast_o or_o so_o much_o time_n as_o it_o have_v go_v too_o slow_a and_o the_o like_a must_v be_v do_v for_o any_o other_o number_n lose_v or_o get_v now_o though_o this_o rule_n be_v ten_o time_n more_o exact_a than_o any_o yet_o know_v yet_o for_o all_o that_o it_o may_v be_v yet_o find_v difficult_a to_o make_v a_o clock_n go_v exact_a especial_o for_o a_o long_a time_n together_o for_o though_o a_o royal_a pendulum_n be_v the_o most_o excellent_a contrivance_n in_o the_o world_n for_o exactness_n of_o keep_v time_n yet_o the_o different_a degree_n of_o rarity_n and_o density_n in_o the_o air_n do_v oftentimes_o alter_v the_o nature_n of_o the_o pendulum_n motion_n a_o thick_a air_n not_o suffer_v it_o to_o vibrate_v so_o free_o nor_o so_o far_o as_o a_o thin_a air_n do_v the_o motion_n of_o the_o pendulum_n may_v be_v also_o somewhat_o alter_v by_o the_o oil_n grow_v dry_a and_o thick_a with_o which_o the_o penet_n be_v moisten_v for_o when_o a_o clock_n be_v clean_a and_o the_o oil_n thin_a and_o free_a from_o foulness_n the_o pendulum_n play_v different_o from_o what_o it_o do_v when_o the_o clock_n be_v foul_a and_o the_o pevet_n dry_a and_o dirty_a but_o here_o you_o be_v to_o note_v that_o not_o withstand_v the_o royal_a pendulum_n be_v subject_a to_o be_v alter_v somewhat_o in_o its_o motion_n by_o the_o aforesaid_a cause_n that_o it_o be_v nothing_o in_o comparison_n to_o what_o happen_v in_o the_o common_a crown-wheel_n pendulum_n for_o these_o be_v apt_a to_o be_v vary_v ten_o time_n more_o than_o the_o other_o which_o still_o make_v very_o much_o for_o the_o reputation_n of_o the_o royal_a pendulum_n since_o then_o the_o air_n and_o oil_n and_o dust_n be_v apt_a to_o cause_v the_o best_a clock_n to_o go_v less_o certain_a than_o it_o otherwise_o will_v i_o have_v think_v fit_a to_o propose_v a_o way_n by_o which_o it_o may_v be_v know_v when_o any_o thing_n considerable_a of_o this_o nature_n happen_v and_o that_o be_v thus_o screw_n or_o fasten_v to_o the_o back_n of_o the_o case_n a_o brass_n plate_n with_o 2_o slide_a index_n fit_v to_o it_o that_o may_v be_v set_v exact_o to_o the_o compass_n which_o your_o pendulum_n fetch_v and_o by_o that_o you_o may_v perceive_v whether_o your_o pendulum_n alter_v in_o its_o compass_n for_o shall_v it_o do_v so_o in_o the_o time_n of_o your_o adjust_n of_o it_o you_o will_v find_v it_o a_o very_a hard_a matter_n to_o rectify_v it_o well_o and_o if_o nothing_o of_o this_o happen_v till_o it_o be_v bring_v to_o go_v complete_o true_a yet_o if_o the_o compass_n of_o your_o pendulum_n do_v afterward_o differ_v you_o will_v certain_o find_v it_o not_o to_o keep_v the_o same_o time_n it_o do_v when_o first_o adjust_v and_o the_o best_a clock_n that_o be_v will_v sometime_o be_v subject_a to_o these_o unavoidable_a accident_n but_o although_o those_o little_a irregularity_n in_o the_o motion_n of_o a_o good_a pendulum_n may_v sometime_o happen_v and_o prove_v some_o hindrance_n to_o the_o exactness_n of_o its_o motion_n yet_o when_o you_o come_v to_o know_v how_o much_o it_o vary_v from_o the_o truth_n you_o may_v soon_o correct_v it_o by_o the_o forego_n rule_n if_o you_o see_v occasion_n indeed_o a_o constant_a inclination_n to_o go_v either_o too_o fast_o or_o too_o slow_a argue_v rather_o a_o not_o be_v well_o adjust_v at_o first_o for_o if_o it_o vary_v from_o the_o influence_n of_o the_o air_n that_o aptness_n to_o go_v false_a will_v continue_v no_o long_a when_o the_o temper_n of_o the_o air_n return_v to_o its_o former_a state_n and_o then_o the_o clock_n will_v return_v to_o its_o old_a pitch_n of_o motion_n but_o if_o it_o happen_v through_o foulness_n which_o may_v be_v guest_n at_o by_o its_o have_v go_v true_a a_o long_a time_n before_o then_o it_o will_v continue_v to_o go_v irregular_a till_o the_o clock_n be_v make_v clean_o new_o oil_v and_o put_v in_o order_n but_o when_o all_o be_v say_v that_o can_v be_v say_v on_o this_o matter_n if_o the_o clock_n be_v a_o well_o make_v piece_n of_o work_n all_o these_o alteration_n in_o the_o motion_n will_v be_v so_o inconsiderable_a as_o not_o to_o be_v worth_a the_o note_n if_o you_o observe_v constant_o to_o set_v it_o according_a to_o the_o design_n of_o the_o second_o table_n and_o correct_v it_o once_o or_o twice_o a_o year_n by_o the_o sun_n but_o for_o base_a and_o ill_a work_n no_o art_n of_o man_n can_v make_v that_o go_v exact_o and_o well_o one_o quarter_n of_o the_o time_n that_o the_o other_o will_n from_o all_o that_o have_v be_v speak_v hitherto_o concern_v the_o royal_a pendulum_n we_o may_v gather_v that_o the_o same_o exactness_n of_o keep_v time_n be_v not_o to_o be_v expect_v in_o short_a crown-wheel_n pendulum_n indeed_o if_o fuch_o be_v good_a work_n they_o may_v be_v make_v to_o go_v very_o well_o but_o yet_o not_o so_o exact_o as_o the_o royal_a pendulum_n for_o the_o short_a the_o pendulum_n be_v the_o more_o difficult_a it_o be_v to_o adjust_a it_o exact_o and_o when_o the_o adju_a part_n be_v do_v never_o so_o true_a yet_o the_o uncertainty_n that_o this_o kind_n of_o pendulum_n be_v subject_a to_o in_o the_o compass_n it_o fetch_v will_v not_o suffer_v it_o to_o keep_v so_o equal_a a_o time_n as_o the_o royal_a pendulum_n the_o different_a temper_n of_o the_o wether_n will_v alter_v it_o very_o considerable_o if_o compare_v with_o the_o other_o and_o it_o will_v also_o be_v soon_o out_o of_o order_n in_o the_o go_n from_o the_o foulness_n and_o thickness_n of_o the_o oil_n that_o the_o penuet_n be_v moisten_v with_o the_o best_a and_o easy_a way_n to_o adjust_a such_o a_o clock_n as_o this_o be_v by_o a_o royal_a pendulum_n already_o rectify_v for_o a_o standard_n to_o adjust_a other_o clock_n by_o for_o when_o by_o that_o you_o have_v bring_v a_o short_a crown-wheel_n pendulum_n of_o which_o sort_n all_o spring-clock_n be_v for_o the_o most_o part_n pretty_a near_o to_o the_o truth_n take_v exact_a notice_n how_o much_o it_o differ_v from_o it_o in_o either_o one_o day_n or_o two_o day_n as_o you_o please_v then_o give_v the_o bob_n just_o a_o whole_a turn_n about_o upward_a if_o it_o go_v too_o slow_a or_o downward_o if_o it_o go_v too_o fast_o and_o see_v how_o much_o that_o turn_v will_v make_v it_o differ_v from_o the_o standard_n above_o what_o it_o do_v before_o in_o a_o day_n or_o two_o day_n time_n now_o know_v how_o many_o second_o in_o a_o day_n a_o turn_v of_o the_o bob_n will_v alter_v you_o may_v soon_o bring_v it_o to_o keep_v true_a time_n by_o turn_v it_o so_o many_o turn_v or_o part_n of_o a_o turn_v about_o as_o shall_v answer_v the_o time_n it_o have_v go_v too_o fast_o or_o too_o slow_a as_o for_o those_o pocket-watch_n which_o be_v now_o so_o improper_o call_v pendulum_n there_o be_v less_o to_o be_v expect_v from_o they_o than_o from_o a_o crown-wheel_n pendulum_n for_o though_o this_o delicate_a invention_n of_o the_o ingenious_a mr._n robert_n hook_n do_v strange_o rectify_v the_o motion_n of_o the_o balance_n yet_o must_v it_o not_o compare_v with_o either_o of_o the_o other_o as_o to_o the_o truth_n of_o go_v for_o it_o be_v the_o hard_a thing_n in_o the_o world_n to_o make_v a_o watch_n keep_v the_o same_o time_n when_o lay_v on_o what_o part_n or_o side_n soever_o you_o will_v be_v please_v to_o turn_v it_o which_o right_o consider_v may_v reasonable_o obtain_v for_o they_o some_o grain_n of_o allowance_n all_o that_o i_o shall_v add_v more_o be_v that_o if_o you_o know_v but_o near_o how_o much_o the_o turn_n of_o each_o division_n on_o the_o justn_a plate_n will_v make_v it_o go_v either_o fast_o or_o slow_a you_o may_v then_o at_o any_o time_n with_o great_a certainty_n adjust_a it_o to_o a_o standard_n pendulum_n and_o this_o any_o one_o may_v attain_v to_o with_o but_o the_o trouble_n of_o a_o little_a observation_n for_o if_o the_o watch_n for_o example_n have_v go_v too_o slow_a two_o minute_n in_o a_o day_n turn_v the_o justn_a plate_n about_o one_o division_n fast_o and_o if_o that_o division_n make_v it_o go_v four_o minute_n too_o fast_o in_o stead_n of_o the_o two_o which_o before_o
it_o go_v too_o slow_a then_o conclude_v that_o that_o division_n have_v alter_v it_o in_o a_o day_n six_o minute_n and_o by_o consequence_n if_o you_o turn_v it_o two_o three_o back_n it_o will_v make_v the_o watch_n go_v right_a as_o it_o ought_v to_o do_v i_o shall_v only_o add_v one_o more_o note_v concern_v spring_n clock_n or_o those_o that_o go_v with_o crown-wheel_n pendulum_n and_o that_o be_v that_o although_o as_o yet_o they_o have_v not_o be_v capable_a of_o keep_v so_o exact_a a_o time_n as_o the_o royal_a pendulum_n yet_o if_o the_o pendulum_n of_o a_o spring-clock_n instead_o of_o play_v upon_o a_o edge_n as_o they_o now_o general_o do_v be_v hang_v upon_o a_o string_n about_o two_o inch_n long_o and_o that_o spring_n be_v so_o fill_v according_a to_o the_o rule_n of_o art_n as_o that_o in_o the_o pendulum_n vibration_n it_o may_v bend_v proportionable_a to_o the_o cycloid_v its_o centre_n of_o motion_n will_v then_o still_o shorten_v as_o the_o way_n of_o its_o vibration_n grow_v long_o and_o by_o consequence_n the_o far_a the_o pendulum_n swing_v out_o the_o quick_a will_v its_o return_n be_v and_o so_o all_o its_o vibration_n whether_o long_o or_o short_a will_v be_v perform_v in_o the_o same_o equal_a time_n and_o then_o its_o motion_n will_v be_v much_o more_o steady_a than_o it_o be_v and_o be_v near_o as_o exact_v as_o that_o of_o a_o royal_a pendulum_n the_o manner_n of_o right_o fix_v or_o set_v up_o pendulum_n to_o go_v well_o the_o difficulty_n of_o set_v up_o pendulum_n clock_n right_o in_o such_o place_n where_o the_o help_n of_o the_o clock_n maker_n can_v be_v have_v be_v the_o reason_n that_o many_o gentleman_n who_o live_v far_o off_o from_o london_n be_v as_o yet_o unfurnished_v with_o they_o and_o it_o also_o too_o often_o happen_v that_o clock_n who_o at_o first_o have_v be_v set_v up_o well_o as_o to_o matter_n of_o go_v have_v by_o accident_n be_v misplace_v or_o jumble_v awry_o and_o so_o be_v make_v to_o stand_v still_o and_o become_v useless_a mere_o for_o want_v of_o skill_n in_o the_o owner_n to_o put_v they_o again_o to_o right_n in_o order_n therefore_o to_o enable_n all_o person_n not_o only_o to_o set_v a_o pendulum_n clock_n up_o right_o but_o also_o to_o reduce_v he_o again_o to_o right_n when_o by_o accident_n he_o be_v misplace_v i_o have_v here_o make_v public_a the_o follow_a direction_n first_o let_v the_o workman_n by_o who_o hand_n the_o clock_n be_v make_v set_v he_o upright_o at_o home_n in_o his_o own_o house_n and_o there_o have_v make_v a_o through_o trial_n of_o his_o go_n let_v he_o then_o stop_v the_o pendulum_n and_o when_o it_o be_v perfect_o at_o rest_n let_v he_o fix_v or_o drive_v into_o the_o back_n of_o the_o case_n a_o strong_a stud_n of_o brass_n or_o iron_n with_o the_o end_n turn_v a_o little_a up_o which_o he_o must_v place_v so_o as_o that_o the_o beak_n that_o turn_v up_o may_v stand_v exact_o under_o the_o low_a end_n of_o the_o pendulum_n rod_n and_o this_o will_v sufficient_o direct_v you_o how_o to_o set_v he_o up_o in_o any_o other_o place_n for_o when_o the_o clock_n be_v to_o be_v set_v up_o by_o he_o that_o buy_v he_o it_o be_v but_o place_v the_o case_n so_o that_o the_o end_n of_o the_o pendulum_n rod_n may_v hang_v just_a over_o the_o beak_n of_o the_o stud_n and_o then_o he_o will_v stand_v upright_o as_o he_o do_v before_o in_o than_o workman_n hand_n but_o in_o case_n this_o provision_n be_v not_o make_v than_o the_o rule_n to_o do_v it_o by_o be_v this_o set_v the_o clock_n up_o in_o the_o place_n it_o be_v to_o stand_v in_o let_v the_o peâ—â—ulum_n and_o the_o pulley_n which_o usual_o be_v fix_v to_o the_o case_n be_v unfastn_v hang_v on_o the_o weight_n and_o set_v the_o pendulum_n a_o go_v by_o make_v of_o it_o swing_v between_o the_o side_n of_o the_o case_n now_o if_o when_o the_o clock_n be_v thus_o set_v a_o go_v you_o find_v the_o pendulum_n to_o beat_v equal_o that_o be_v if_o there_o be_v the_o same_o distance_n of_o time_n between_o all_o its_o blow_n which_o a_o attentive_a ear_n will_v soon_o discover_v then_o do_v the_o clock_n stand_v well_o and_o you_o must_v make_v he_o fast_o to_o the_o place_n he_o stand_v against_o but_o if_o you_o find_v one_o blow_v beat_n in_o less_o time_n than_o the_o other_o than_o you_o must_v a_o little_a incline_v the_o case_n to_o that_o side_n which_o the_o pendulum_n play_v to_o when_o he_o strike_v the_o short_a blow_n and_o then_o you_o will_v find_v he_o to_o beat_v more_o equal_a and_o when_o you_o have_v incline_v the_o case_n so_o much_o that_o you_o find_v exact_o the_o same_o distance_n of_o time_n between_o the_o blow_v or_o vibration_n then_o the_o clock_n stand_v right_a for_o go_v and_o you_o be_v to_o fix_v he_o that_o he_o may_v stand_v firm_o in_o that_o posture_n now_o the_o rule_n before_o give_v be_v general_a to_o all_o pendulum_n for_o they_o all_o must_v stand_v so_o that_o the_o beat_v of_o the_o pendulum_n may_v be_v equal_o distant_a as_o to_o length_n of_o time_n for_o otherwise_o if_o they_o stand_v awry_o so_o that_o one_o blow_v or_o vibration_n of_o the_o pendulum_n be_v strike_v in_o less_o time_n than_o the_o other_o that_o pendulum_n upon_o the_o least_o accident_n that_o shall_v happen_v will_v be_v apt_a to_o stand_v still_o and_o therefore_o great_a care_n ought_v to_o be_v take_v that_o not_o only_o royal_a pendulum_n but_o also_o spring_n clock_n be_v set_v up_o exact_o upright_a in_o the_o place_n that_o they_o be_v to_o stand_v in_o and_o they_o never_o stand_v upright_o as_o they_o shall_v do_v unless_o the_o blow_n of_o the_o pendulum_n beat_v equal_o note_v that_o as_o a_o long_a swing-clock_n ought_v to_o stand_v so_o as_o that_o the_o pendulum_n beat_v equal_o so_o he_o must_v stand_v so_o as_o that_o the_o pendulum_n play_v free_a from_o the_o back_n of_o the_o case_n for_o if_o it_o stand_v right_a in_o this_o respect_n the_o rod_n of_o the_o pendulum_n will_v all_o the_o way_n up_o be_v parallel_n or_o equidistant_a from_o the_o backpart_n moreover_o take_v care_n that_o the_o clock_n be_v fix_v fast_o and_o firm_a that_o no_o violence_n may_v justle_v he_o out_o of_o his_o place_n but_o if_o by_o accident_n it_o shall_v so_o come_v to_o pass_v you_o must_v then_o set_v he_o again_o to_o right_n by_o the_o rule_n before_o give_v from_o the_o exact_a beat_n of_o the_o pendulum_n a_o table_n of_o crown-wheeled_a pendulum_n show_v the_o number_n of_o beat_v make_v in_o a_o hour_n by_o any_o length_n of_o inch_n and_o quarter_n from_o one_o inch_n to_o twelve_o the_o bob_n about_o a_o ounce_n in_o weight_n inches_n beat_v 1_v 22946_o 1_o 20524_o 2_o 18735_o 3_o 17345_o 2_o 16225_o 1_o 15298_o 2_o 18735_o 3_o 13837_o 3_o 13248_o 1_o 12732_o 2_o 12265_o 3_o 11852_o 4_o 11473_o 1_o 11131_o 2_o 10817_o 3_o 10528_o 5_o 10262_o 1_o 10014_o 2_o 9781_o 3_o 9569_o 6_o 9368_o 1_o 9178_o 2_o 9000_o 3_o 8832_o 7_o 8672_o 1_o 8524_o 2_o 8381_o 3_o 8242_o 8_o 8107_o 1_o 7989_o 2_o 7870_o 3_o 7764_o 9_o 7653_o 1_o 7544_o 2_o 7448_o 3_o 7349_o 10_o 7256_o 1_o 7167_o 2_o 7081_o 3_o 6998_o 11_o 6919_o 1_o 6842_o 2_o 6767_o 3_o 6694_o 12_o 6623_o 1_o 6565_o 2_o 6497_o 3_o 6431_o the_o first_o row_n of_o figure_n be_v inch_n the_o second_o be_v quarter_n of_o inch_n the_o figure_n against_o each_o of_o these_o be_v the_o beat_v that_o a_o pendulum_n of_o that_o length_n make_v in_o a_o hour_n for_o example_n 2_o inch_n beat_v 16225_o blow_n in_o a_o hour_n and_o 3_o inch_n and_o a_o half_a beat_v 12265_o and_o 6_o inch_n 3_o quarter_n beat_v 8832_o divide_v any_o of_o these_o number_n by_o 60_o and_o it_o show_v you_o the_o beat_v make_v in_o a_o minute_n multiply_v any_o of_o these_o by_o 24_o and_o it_o show_v you_o the_o beat_v make_v in_o a_o day_n a_o table_n of_o royal_a pendulum_n show_v what_o beat_v any_o length_n make_v in_o a_o hour_n from_o 12_o to_o 60_o inch_n the_o bob_n 2_o pound_v weight_n or_o more_o inches_n beat_v 12_o 6651_o 13_o 6393_o 14_o 6161_o 15_o 5955_o 16_o 5765_o 17_o 5591_o 18_o 5433_o 19_o 5288_o 20_o 5154_o 21_o 5030_o 22_o 4915_o 23_o 4807_o 24_o 4706_o 25_o 4610_o 26_o 4522_o 27_o 4437_o 28_o 4356_o 29_o 4281_o 30_o 4209_o 31_o 4141_o 32_o 4075_o 33_o 4013_o 34_o 3953_o 35_o 3897_o 36_o 3843_o 37_o 3790_o 38_o 3793_o 39_o 3691_o 40_o 3645_o 41_o 3600_o 42_o 3557_o 43_o 3515_o 44_o 3475_o 45_o 3436_o 46_o 3399_o 47_o 3362_o 48_o 3327_o 49_o 3293_o 50_o 3260_o 51_o 3228_o 52_o 3196_o 53_o 3166_o 54_o 3137_o 55_o 3108_o 56_o 3080_o 57_o 3053_o