30_o 0_o 56_o 0_o 49_o 1_o 17_o 7_o 7_o 00_o 0_o 52_o 0_o 44_o 1_o 16_o 8_o 6_o 00_o 0_o 43_o 0_o 39_o 1_o 8_o 9_o 5_o 00_o 0_o 36_o 0_o 34_o 1_o 2_o 10_o 4_o 40_o 0_o 25_o 0_o 29_o 1_o 2_o remark_n upon_o the_o table_n the_o column_n of_o the_o sun_n refraction_n i_o owe_v to_o that_o accurate_a observer_n of_o the_o celestial_a motion_n mr_n flamsteed_n which_o refraction_n although_o in_o the_o table_n the_o same_o yet_o do_v differ_v at_o different_a season_n of_o the_o year_n nay_o perhaps_o according_a to_o the_o different_a temperature_n of_o the_o air_n sometime_o in_o the_o same_o day_n thus_o mr_n flamsteed_o find_v the_o refraction_n in_o february_n very_o different_a from_o those_o in_o april_n and_o it_o be_v observe_v that_o the_o refraction_n be_v common_o great_a when_o the_o mercury_n be_v high_a in_o the_o barometer_n the_o table_n therefore_o do_v not_o show_v what_o the_o refraction_n always_o be_v but_o only_o about_o the_o middle_a quantity_n of_o they_o at_o every_o degree_n of_o the_o 10_o first_o of_o the_o sun_n altitude_n and_o according_o i_o have_v calculate_v the_o variation_n thereby_o make_v in_o the_o hour_n of_o the_o day_n these_o variation_n of_o the_o hour_n be_v great_a or_o lesser_a according_a as_o the_o angle_n of_o the_o sun_n be_v diurnal_a motion_n be_v acuter_n with_o the_o horizon_n the_o reason_n be_v plain_a because_o as_o the_o sun_n appear_v by_o refraction_n high_o than_o real_o he_o be_v so_o this_o false_a height_n do_v affect_v the_o hour_n in_o winter_n more_o than_o the_o summer_n half_a year_n there_o be_v no_o ray_n indeed_o of_o the_o sun_n but_o what_o come_v refract_v to_o a_o sun_n dial_n and_o consequent_o there_o be_v no_o dial_n but_o what_o go_v more_o or_o less_o false_a except_o at_o noon_n in_o dial_n that_o cast_v a_o shade_n where_o the_o refraction_n make_v no_o variation_n but_o the_o refraction_n decrease_v apace_o as_o the_o sun_n get_v high_a and_o cause_v a_o variation_n of_o not_o above_o half_a a_o minute_n at_o 10_o degree_n of_o the_o sun_n altitude_n except_o when_o the_o sun_n be_v in_o or_o near_o the_o southern_a tropic_n near_o than_o half_a a_o minute_n few_o common_a sun-dial_n show_v the_o time_n and_o therefore_o partly_o for_o this_o reason_n and_o partly_o because_o mr._n flamsteed_n observation_n reach_v not_o much_o far_o i_o have_v calculate_v my_o table_n to_o only_o 10_o degree_n the_o table_n need_v little_a explication_n for_o have_v the_o sun_n height_n you_o have_v against_o it_o in_o the_o next_o column_n the_o refraction_n and_o in_o the_o 3_o next_o the_o alteration_n of_o the_o hour_n at_o 3_o time_n of_o the_o year_n take_v therefore_o by_o a_o quadrant_n the_o sun_n altitude_n and_o observe_v at_o the_o same_o time_n the_o hour_n of_o the_o day_n by_o a_o sundial_n by_o the_o table_n you_o see_v how_o many_o minute_n and_o second_o the_o dial_n be_v too_o fast_o as_o at_o the_o sunrising_n a_o sundial_n be_v too_o fast_a 4′_n 34″_n about_o june_n 11_o and_o 3′_n 32″_n about_o mar._n 10._o and_o sept._n 12_o and_o 4′_n 38″_n about_o dec._n 11._o addenda_fw-la to_o the_o five_o part_n of_o the_o rule_n in_o §_o 6._o p._n 21._o if_o you_o have_v occasion_n to_o lay_v the_o pinion_v of_o report_n upon_o any_o other_o wheel_n and_o not_o the_o great-wheel_n you_o may_v do_v it_o by_o this_o rule_n as_o the_o beat_v in_o one_o turn_n of_o any_o wheel_n to_o the_o beat_v in_o a_o hour_n so_o be_v the_o hour_n of_o the_o dial_n to_o the_o quotient_a of_o the_o hour-wheel_n divide_v by_o the_o pinion_v of_o report_n to_o page_n 66._o suppose_v in_o alter_v a_o old_a watch_n you_o will_v have_v it_o show_v minute_n as_o well_o as_o hour_n you_o may_v do_v it_o thus_o divide_v the_o beat_v in_o one_o turn_n of_o the_o great-wheel_n by_o the_o beat_v in_o a_o hour_n the_o quotient_n will_v show_v in_o how_o many_o hour_n the_o great-wheel_n go_v round_o once_o if_o the_o beat_v in_o the_o great_a wheel_n exceed_v the_o train_n you_o must_v choose_v your_o minute-wheel_n first_o and_o multiply_v it_o by_o the_o quotient_a this_o will_v give_v the_o pin._n of_o report_n but_o if_o the_o train_n exceed_v the_o beat_v of_o the_o great-wheel_n you_o must_v choose_v the_o pin._n of_o rep._n and_o multiply_v the_o quotient_a by_o it_o the_o product_n be_v the_o minute-wheel_n but_o it_o often_o fall_v out_o that_o the_o train_n and_o beat_v of_o the_o great-wheel_n will_v not_o exact_o measure_v one_o another_o if_o so_o the_o best_a way_n be_v to_o half_a the_o two_o number_n as_o far_o as_o they_o will_v equal_o admit_v of_o half_v or_o divide_v they_o by_o some_o common_a divisor_n and_o so_o have_v bring_v they_o to_o as_o small_a number_n as_o you_o can_v you_o may_v suppose_v they_o to_o be_v a_o wheel_n and_o pinion_v and_o reduce_v they_o to_o lesser_a number_n by_o chap._n 2._o sect._n 2._o §_o 5._o thus_o suppose_v you_o will_v make_v the_o old_a dull_a movement_n there_o mention_v a_o minute-watch_n you_o may_v reduce_v the_o number_n of_o the_o great-wheel_n 2188â—_n and_o the_o train_n 9368_o to_o a_o pinion_v and_o wheel_v 28_o 12._o which_o pin._n 28_o be_v set_v upon_o the_o spingle_z of_o the_o gr._n wh._n will_v drive_v a_o wheel_n 12_o round_n once_o in_o a_o hour_n to_o show_v minute_n if_o you_o make_v this_o wh._n 12_o drive_v another_o of_o 48_o concentrical_a to_o which_o be_v a_o pin._n 12_o drive_v a_o wheel_n 36_o which_o wheel_n be_v concentrical_a with_o the_o minute-wheel_n this_o will_v carry_v a_o hand_n round_o in_o 12_o hour_n but_o in_o this_o case_n you_o must_v place_v the_o pin._n 28_o on_o the_o spindle_n of_o the_o gr._n wh._n so_o as_o to_o slide_v round_o stiff_o when_o you_o turn_v the_o minute-hand_n to_o rectify_v the_o watch._n finis_fw-la oughtred_a of_o autom_n sect_n 4._o 4_o 36_o 9_o 5_o 55_o 11_o 5_o 45_o 9_o 5_o 40_o 8_o  _fw-fr  _fw-fr 17_o by_o the_o quotient_n i_o common_o mean_v the_o â—umber_n of_o turn_v which_o number_n be_v set_v on_o the_o right_a hand_n without_o a_o hook_n as_o be_v show_v in_o the_o last_o paragraph_n which_o i_o noâ—e_v â—ere_z now_o once_o for_o all_o 5_o 5â—_n 11_o 5_o 45_o 9_o 5_o 40_o 8_o 8_o 80_o 10_o 6_o 54_o 9_o 5_o 40_o 8_o  _fw-fr  _fw-fr 15_o 4_o 32_o 8_o 5_o 55_o 11_o 5_o 45_o 9_o 5_o 40_o 8_o  _fw-fr  _fw-fr 17_o sir_n j._n moor_n mat._n com._n p._n 109._o ibid._n p._n 116._o oughtred_a autom_n sect._n 14._o 28_o 1440_o ought_o ib._n id._n ib._n 9_o  _fw-fr 8_o 36_o x_o 8_o 4_o  _fw-fr 1_o 32_o x_o 9_o id._n ib._n oughtred_a sect._n 12._o sir_n j._n moor_n ibid._n p._n 109._o 4_o 36_o 9_o 5_o 55_o 11_o 5_o 45_o 9_o 5_o 40_o 8_o  _fw-fr  _fw-fr 17_o oughtred_a sect._n 21._o §_o 8._o 4_o 28_o 7_o 5_o 55_o 11_o 5_o 45_o 9_o 5_o 40_o 8_o  _fw-fr  _fw-fr 17_o id._n ib._n §_n 22._o 24_o 20_o 20_o 24_o 6_o 60_o 10_o 6_o 48_o 8_o 5_o 40_o 8_o 5_o 33_o 6â…—_n  _fw-fr  _fw-fr 17_o horol_fw-la disq_fw-la sect._n 1_o §_o 6._o 8_o 40_o 5_o  _fw-fr  _fw-fr 15_o 8_o 64_o 8_o 8_o 60_o 7½_n 8_o 40_o 5_o  _fw-fr  _fw-fr 15_o §_o 6._o par._n 3._o and_o §_o 7._o â—_o 108_o 12_o â—_o 64_o 8_o â—_o 60_o 7½_n â—_o 40_o 5_o  _fw-fr  _fw-fr 15_o sir_n j._n mooâ—_n ibid._n p._n 116._o v._o sect._n 1_o §_o 6._o 8_o 96_o 12_o 8_o 64_o 8_o 8_o 60_o 7½_n  _fw-fr  _fw-fr 30_o 8_o 48_o 6_o 6_o 78_o 13_o pin_n 6_o 60_o 10_o 6_o 48_o 8_o §_o 1._o infer_v 2d_o 15_o 195_o 13_o 13_o 195_o 15_o 10_o 65_o 6â—_n 8_o 48_o 6_o 6_o 48_o 8_o pin_n v._o sect._n 1_o §._o 3._o 8_o 104_o 13_o 6_o 72_o 12._o 24_o pin_n 12_o 39_o 3¼_n 10_o 120_o 12_o 8_o 96_o 12_o  _fw-fr 78_o 26_o pin_n 13_o 39_o 3_o ch._n 2._o sect._n 2._o §_o 7._o oughtred_a §_o 26._o 4_o 62_o 15½_n 5_o 20_o 4_o 4_o 62_o 15½_n 10_o 40_o 4_o id._n ib._n 10_o 5_o 9_o â—9_n 4_o 40_o 10_o 4_o 59_o 14¾_n 10_o 40_o 4_o id._n ib._n 4_o 73_o 18¼_n 4_o 40_o 10_o 5_o 20_o 4_o 4_o 73_o 18¼_n 4_o 32_o 8_o 4_o 20_o 5_o autom_n §_o 35._o id._n ib._n mat._n com._n p._n 117._o v._o sect._n 1_o §_o 4_o 5._o de_fw-fr subtle_a l._n 17._o 4_o 48_o 12_o 7_o 56_o 8_o 6_o 54_o 9_o  _fw-fr  _fw-fr 19_o horol_fw-la dis_n p._n 54._o 2736_o 9368_o 3½_n 4_o 48_o 12_o 7_o 56_o 8_o 6_o 54_o 9_o 6_o 2d_o 3½_n  _fw-fr  _fw-fr 19_o v._o sect._n 1_o §_o 6._o 4_o 48_o 12_o 7_o 56_o 8_o 6_o 54_o 9_o 6_o 36_o 6_o  _fw-fr  _fw-fr 11_o 6_o 30_o 5_o 7_o 56_o 8_o 6_o 54_o 9_o 6_o 48_o 8_o  _fw-fr  _fw-fr 19_o 4_o 39_o â—¾_n 7_o 56_o 8_o pin_n 6_o 54_o 9_o 6_o 48_o 8_o 5_o 24_o 7_o 18_o 6_o 7_o 56_o 8._o 16_o pin_n 6_o 54_o 9_o 6_o 48_o 8_o sir_n j._n moor_n mat._n com._n r._n 5._o id._n ib._n rule_n 3_o de_fw-fr horol_fw-la oscil_n p._n 10_o 11_o 12._o machina_fw-la pneumat_n exp._n 26._o ibid._n ibid._n fiugenius_n â—â—â—i_fw-la supra_fw-la p._n 141._o sir_n j._n moor_n ibid._n hugen_n moor_n ibâ—_n horolog_n disquis_fw-la ibid._n ibid._n de_fw-fr centro_fw-la oscil_n prop._n 23._o 2_o king_n â—0_z 11._o isai_n 38._o 8._o lexic_fw-la in_o verbo_fw-la 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d de_fw-fr die_v natali_n c._n 23._o ibid._n nat._n hist_o l._n 2._o c._n 76._o de_fw-fr archit_n l._n 6._o c._n 48._o in_o the_o life_n of_o dion_n euseb_n vit._n const_n l._n 3._o de_fw-fr subtle_a l._n 17._o de_fw-fr architect_n l._n 9_o c._n 9â—_n vâ—d_n phiâ—â—nd_n not_o in_o vitruu._n lib._n 1._o §_o 25._o edit_fw-la elâ—ivir_fw-fr epigr._fw-la in_o sphoer_n archime_v vid._n card._n the_o subtle_a l._n 17._o de_fw-fr nat._n deor._n lib._n 2._o §_o 34._o mâ—lyneaux_n scioth_n telescop_n ep._n dedic_n cosmog_n l._n 2._o magia_n univers_n p._n 1._o proleg_n &_o magia_n thaumaturg_n hor._n oscil_n p._n 3_o edit_n paris_n p._n 8._o exper_n make_v in_o the_o acad_n deal_v cimento_n by_o mr._n walâ—er_n p._n 12._o hugen_n ib._n horolog_n disquis_fw-la p._n 3._o
as_o 144_o be_v to_o 170_o so_o be_v 360_o to_o 425._o or_o as_o 170_o to_o 144_o so_o be_v 360_o to_o 305._o in_o number_n thus_o 144._o 170_o 360._o 425._o or_o 170._o 144_o 360._o 305._o divide_v 360_o and_o either_o of_o these_o two_o four_o and_o last_o number_n by_o 4_o 5_o 6_o 8_o etc._n etc._n as_o be_v direct_v in_o the_o rule_n last_o cite_v if_o you_o divide_v by_o 8_o you_o will_v have_v for_o your_o number_n 1_o 14_o 74_o â—_o 4_o â—5_n â—_o or_o 3_o 48_o 5._o if_o you_o divide_v by_o 15_o which_o will_v not_o bring_v it_o so_o near_o a_o integer_fw-la you_o will_v have_v 2_o 24_o 8_o or_o 2_o â—0_n 4_o which_o last_o be_v the_o number_n set_v down_o in_o the_o margin_n where_o the_o number_n of_o the_o whole_a movement_n be_v set_v down_o §_o 10._o have_v say_v enough_o i_o think_v concern_v the_o calculation_n of_o ordinary_a watch_n to_o show_v the_o hour_n of_o the_o day_n i_o shall_v next_o proceed_v to_o such_o as_o show_v minute_n and_o second_n the_o process_n whereof_o be_v thus_o first_o have_v resolve_v upon_o your_o beat_v in_o a_o hour_n you_o be_v next_o to_o find_v how_o many_o beat_v there_o will_v be_v in_o a_o minute_n by_o divide_v your_o design_a train_n into_o 60_o part_n and_o according_o you_o be_v to_o find_v out_o such_o proper_a number_n for_o your_o crown-wheel_n and_o quotient_n as_o that_o the_o minute-wheel_n shall_v go_v round_o once_o in_o a_o hour_n and_o the_o second-wheel_n once_o in_o a_o minute_n a_o example_n will_v make_v all_o plain_a let_v we_o choose_v a_o pendulum_n of_o 6_o inch_n to_o go_v 8_o day_n with_o 16_o turn_n of_o the_o fusy_n by_o disq_fw-la mr_n smith_n table_n a_o pendulum_n of_o 6_o inch_n vibrate_v 9368_o in_o a_o hour_n this_o divide_v by_o 60_o give_v 156_o beat_v for_o a_o minute_n half_n these_o sum_n be_v 4684_o and_o 6._o 78._o now_o the_o first_o work_n be_v to_o break_v this_o 78_o into_o good_a proportion_n which_o will_v fall_v into_o one_o quotient_a and_o the_o crown-wheel_n first_o for_o the_o crown-wheel_n let_v it_o have_v 15_o notch_n divide_v 78_o aforeâ—_n by_o this_o 15_o the_o quotient_n will_v be_v 5._o aâ—_n so_o this_o first_o work_n be_v do_v for_o a_o crowâ—_n wheel_n of_o 15_o and_o a_o wheel_n aâ—_n pinion_v who_o quotient_a be_v 5_o â—_o in_o the_o margin_n 15_o will_v go_v rouâ—_n in_o a_o minute_n to_o carry_v a_o haâ—_n to_o show_v second_o next_o for_o a_o hand_n to_o go_v round_o in_o â—_o hour_n to_o show_v minute_n now_o because_o there_o be_v 60_o minute_n in_o a_o hour_n it_o be_v bâ—_n break_v 60_o into_o two_o gooâ—_n 15_o quotient_n which_o may_v be_v â—_o and_o 6_o or_o 8_o and_o 7½_n or_o etc._n etc._n and_o the_o work_n be_v do_v thus_o your_o number_n 4684_o break_v as_o near_o as_o can_v be_v into_o proper_a number_n but_o because_o it_o do_v not_o fall_v out_o exact_a into_o the_o abovementioned_a number_n yoâ—_n must_v correct_v as_o you_o be_v direct_v before_o and_o find_v out_o the_o true_a number_n â—_o beat_v in_o a_o hour_n by_o multiply_v 15_o by_o 5_o which_o make_v 75_o and_o this_o by_o 6â—_n make_v 4500_o which_o be_v the_o half_a of_o the_o truâ—_n train_n then_o to_o find_v out_o the_o beat_v in_o on_o 7._o turn_n of_o thy_o fusy_n operate_v as_o before_o viâ—_n as_o the_o number_n of_o turn_n 16_o to_o the_o continuant_n 192_o so_o be_v 4500_o to_o 54000_o which_o be_v half_o the_o beat_v in_o one_o turn_n of_o â—he_n fusy_n in_o number_n thus_o 16._o 192_o 4500._o 54000._o this_o 54000_o must_v be_v divide_v by_o 4500_o which_o be_v the_o true_a â—umbers_n already_o piâ—ched_v upon_o or_o beat_v â—n_n a_o hour_n the_o quotient_a of_o this_o division_n â—s_v 12_o which_o be_v not_o too_o big_a for_o one_o single_a quotient_a need_v not_o be_v divide_v into_o more_o the_o work_n will_v stand_v as_o you_o see_v in_o the_o margin_n 15_o as_o to_o the_o hour-hand_n the_o great-wheel_n which_o perform_v only_o one_o revolution_n in_o 12_o turn_n of_o the_o minute-wheel_n will_v show_v the_o hour_n or_o rather_o you_o may_v order_v it_o to_o be_v do_v by_o the_o minute-wheel_n â—s_n shall_v be_v show_v hereafter_o §_o 11._o i_o shall_v add_v but_o one_o example_n more_o and_o so_o conclude_v this_o section_n and_o â—hat_n be_v to_o calculate_v the_o number_n of_o a_o â—iece_n who_o pendulum_n swing_v second_o â—o_o show_v the_o hour_n minute_n and_o second_o â—nd_v to_o go_v 8_o day_n which_o be_v the_o usual_a performance_n of_o those_o movement_n call_v 116._o â—oyal_a pendulum_n at_o this_o day_n first_o cast_v â—p_v the_o number_n of_o second_o in_o 12_o hour_n which_o be_v the_o beat_v in_o one_o turn_n of_o 〈◊〉_d great-wheel_n these_o be_v 12_o time_n 〈◊〉_d minute_n and_o 60_o time_n that_o gives_z 432â—_n which_o be_v the_o second_o in_o 12_o hour_n hâ—_n 6._o this_o number_n for_o the_o reason_n before_o 21600._o the_o swing-wheel_n must_v neâ—_n be_v 30_o to_o swing_v 60_o second_n in_o one_o of_o 〈◊〉_d revolution_n divide_v 21600_o by_o it_o aâ—_n 720_o be_v the_o quotient_a or_o number_v leave_v to_o 〈◊〉_d break_v into_o quotient_n of_o these_o quoâ—ents_n the_o first_o must_v needs_o be_v 12_o for_o 〈◊〉_d great-wheel_n which_o move_v round_a onâ—_n in_o 12_o hour_n divide_v 720_o by_o 12_o 〈◊〉_d quotient_a be_v 60_o which_o may_v be_v conveâ—_n ent_o break_v into_o two_o quotient_n as_o 〈◊〉_d and_o 6_o or_o 5_o and_o 12_o or_o 8_o and_o 7_o ½_o whiâ—_n last_o be_v most_o convenient_a aâ—_n if_o you_o take_v all_o the_o pinion_n the_o work_n will_v stand_v as_o in_o 〈◊〉_d margin_n 30_o according_a to_o this_o compuâ—_n tion_n the_o great-wheel_n will_v 〈◊〉_d about_o once_o in_o 12_o hour_n show_v the_o hour_n if_o you_o please_v the_o secoâ—_n wheel_n once_o in_o a_o hour_n to_o show_v the_o 〈◊〉_d nute_n and_o the_o swing-wheel_n once_o in_o a_o 〈◊〉_d nute_n to_o show_v the_o second_o thus_o i_o have_v endeavour_v with_o all_o possible_a plainness_n to_o unravel_v this_o most_o mysterious_a as_o well_o as_o useful_a part_n of_o watch-work_n in_o which_o if_o i_o have_v offend_v the_o more_o learned_a reader_n by_o unartificial_a term_n or_o multitude_n of_o word_n i_o desire_v the_o fault_n may_v be_v lay_v upon_o my_o earnest_a intent_n to_o condescend_v to_o the_o mean_a capacity_n sect_n iii_o to_o calculate_v the_o strike_v part_n of_o a_o clock_n §_o 1._o although_o this_o part_n consist_v of_o many_o wheel_n and_o pinion_n yet_o respect_v needs_o to_o be_v have_v only_o to_o the_o count-wheel_n striking-wheel_n and_o detent-wheel_n which_o move_v round_o in_o this_o proportion_n the_o count-wheel_n move_v round_o common_o â—nce_o in_o 12_o or_o 24_o hour_n the_o detent-wheel_n move_v round_o every_o stroke_n the_o clock_n strike_v sometime_o but_o once_o in_o two_o stroke_n from_o whence_o it_o follow_v 1._o that_o as_o many_o pin_n as_o be_v in_o the_o pin-wheel_n so_o many_o turn_n have_v the_o detent-wheel_n in_o one_o turn_n of_o the_o pin-wheel_n or_o which_o be_v the_o same_o the_o pin_n of_o thâ—_n pin-wheel_n be_v the_o quotient_a of_o that_o wheel_n divide_v by_o the_o pinion_v of_o the_o detenâ—-wheel_n but_o if_o the_o detent-wheel_n move_v but_o once_o round_a in_o two_o stroke_n oâ—_n the_o clock_n than_o the_o say_a quotient_n be_v buâ—_n half_a the_o number_n of_o pin_n 2._o as_o many_o turn_v of_o the_o pin-wheel_n aâ—_n be_v require_v to_o perform_v the_o stroke_n of_o 1â—_n hour_n which_o be_v 78_o so_o many_o turâ—â—_n must_v the_o pinion_v of_o report_n have_v to_o turn_v round_o the_o count-wheel_n once_o or_o thus_o divide_v 78_o by_o the_o number_n of_o strike_v pin_n and_o the_o quotient_a thereof_o shall_v bâ—_n the_o quotient_a of_o the_o pinion_v of_o report_n alâ—_n this_o be_v in_o case_n the_o pinion_v of_o report_n bâ—_n fix_v to_o the_o arbour_n of_o the_o pin-wheel_n as_o iâ—_n very_o common_o do_v all_o this_o i_o take_v to_o be_v very_o plain_a or_o 〈◊〉_d it_o be_v not_o the_o example_n in_o the_o margin_n wilâ—_n clear_v all_o difficulty_n 8_o herâ—_n the_o locking-wheel_n be_v 48â—_n the_o pinion_v of_o report_n be_v 8â—_n the_o pin-wheel_n be_v 78_o thâ—_n striking-pin_n be_v 13._o anâ—_n so_o of_o the_o rest_n i_o need_v only_o to_o remark_n hero_n that_o 7â—_n be_v divide_v by_o the_o 13_o pin_n give_v 6â—_n which_o be_v the_o quotient_a ofâ—_n the_o pinionâ—_n of_o report_n as_o be_v before_o hint_v as_o for_o the_o warning-wheel_n and_o flying-pinion_a it_o matter_n little_a what_o number_n they_o have_v their_o use_n be_v only_o to_o bridle_v the_o rapidity_n of_o the_o motion_n of_o the_o other_o wheel_n beside_o the_o last_o observation_n there_o be_v other_o way_n to_o find_v out_o the_o pinion_v of_o report_n which_o
this_o cause_v several_a piece_n of_o this_o nature_n to_o be_v make_v although_o they_o do_v not_o take_v till_o after_o 1675._o however_o he_o have_v before_o so_o far_o proceed_v herein_o as_o to_o have_v a_o patent_n draw_v though_o not_o seal_v for_o these_o and_o some_o other_o contrivance_n about_o watch_n in_o the_o year_n 1660._o but_o the_o reason_n why_o that_o patent_n do_v no_o further_o proceed_v be_v some_o disagreement_n about_o some_o article_n in_o it_o with_o some_o noble_a person_n who_o be_v concern_v for_o the_o procure_n it_o the_o same_o ingenious_a dr._n have_v also_o a_o grant_n for_o a_o patent_n for_o this_o last_o way_n of_o spring_n watch_v in_o the_o year_n 1675_o but_o he_o omit_v the_o take_v it_o out_o as_o think_v it_o not_o worth_a the_o while_n §_o 7._o after_o these_o invention_n of_o dr._n hook_n and_o no_o doubt_n after_o the_o publication_n of_o mr._n hugens_n book_n the_o horolog_n oscil_n at_o paris_n 1673_o for_o there_o be_v not_o a_o word_n of_o this_o though_o of_o several_a other_o contrivance_n after_o this_o i_o say_v mr._n hugen_n watch_n with_o a_o spiral_n spring_n come_v abroad_o and_o make_v a_o great_a noise_n in_o england_n as_o if_o the_o longitude_n can_v be_v now_o find_v one_o of_o these_o the_o lord_n bruncker_fw-ge scent_n for_o out_o of_o france_n where_o mr_n hugenâ—_n â—_z have_v a_o patent_n for_o they_o which_o i_o have_v see_v this_o watch_n of_o mr._n zulichem'_v agree_v with_o dr._n hook_n in_o the_o application_n of_o the_o spring_n to_o the_o balance_n only_a mr._n zulichem'_v have_v a_o long_a spiral_n spring_n and_o the_o pulse_n and_o beat_v be_v much_o slow_a that_o wherein_o it_o differ_v be_v 1._o the_o verge_n have_v a_o pinion_v instead_o of_o pallet_n and_o a_o contrate-wheel_n run_v therein_o and_o drive_v it_o round_o more_o than_o one_o turn_n 2._o the_o pallet_n be_v on_o the_o arbour_n of_o this_o contrate-wheel_n 3._o then_o follow_v the_o crown_n wheel_n etc._n etc._n 4._o the_o balance_n instead_o of_o turn_v scarce_o quite_o round_o as_o dr._n hook_n do_v turn_v several_a round_n every_o vibration_n §_o 8._o as_o to_o the_o great_a ability_n of_o mr._n hugens_n no_o man_n can_v doubt_v that_o be_v acquaint_v with_o his_o book_n and_o his_o share_n in_o the_o philosophical_a transaction_n etc._n etc._n but_o i_o have_v some_o reason_n to_o doubt_n whether_o his_o fancy_n be_v not_o first_o set_v on_o work_n by_o some_o intelligence_n he_o may_v have_v of_o dr_n hook_n invention_n from_o mr_n oldenburgh_n or_o other_o his_o correspondent_o here_o in_o england_n but_o whether_o or_o no_o that_o ingenious_a person_n do_v owe_v any_o thing_n herein_o to_o our_o ingenious_a dr_n hook_n it_o be_v however_o a_o very_a pretty_a and_o ingenious_a contrivance_n but_o subject_a to_o some_o defect_n viz._n when_o it_o stand_v still_o it_o will_v not_o vibrate_v until_o it_o be_v set_v on_o vibrate_v which_o though_o it_o be_v no_o defect_n in_o a_o pendulum_n clock_n may_v be_v one_o in_o a_o pocket-watch_n which_o be_v expose_v to_o continual_a jog_n also_o it_o do_v somewhat_o vary_v in_o its_o vibration_n make_v sometime_o long_o sometime_o short_a turn_n and_o so_o some_o slow_a some_o quick_a vibration_n i_o have_v see_v some_o other_o contrivance_n of_o this_o sort_n which_o i_o mention_v not_o because_o they_o be_v of_o young_a stand_n but_o these_o two_o of_o dr_n hook_n and_o mr_n hugens_n i_o have_v take_v notice_n of_o because_o they_o be_v the_o first_o that_o ever_o appear_v in_o the_o world_n chap._n ix_o the_o invention_n of_o repeat_v clock_n §_o 1._o the_o clock_n i_o now_o shall_v speak_v of_o be_v such_o as_o by_o pull_v of_o a_o string_n etc._n etc._n do_v strike_v the_o hour_n quarter_n or_o minute_n at_o any_o time_n of_o the_o day_n and_o night_n §_o 2._o these_o clock_n be_v a_o late_a invention_n of_o one_o mr_n barlow_n of_o no_o long_o stand_v than_o the_o latter_a end_n of_o k._n charles_n ii_o about_o the_o year_n 1676._o this_o ingenious_a contrivance_n scarce_o so_o much_o as_o think_v of_o before_o soon_o take_v air_n and_o be_v talk_v of_o among_o the_o london_n artist_n set_v their_o head_n to_o work_v who_o present_o contrive_v several_a way_n to_o effect_v such_o a_o performance_n and_o hence_o arise_v the_o divers_a way_n of_o repeat_v work_n which_o so_o early_o may_v be_v observe_v to_o be_v about_o the_o town_n every_o man_n almost_o practise_v according_a to_o his_o own_o invention_n §_o 3._o this_o invention_n be_v practise_v chiefâ—_n if_o not_o only_o in_o large_a movement_n 〈◊〉_d k._n james_n ii.'s_n reign_n at_o which_o time_n it_o as_o transfer_v into_o pocket-clock_n but_o â—ere_z be_v some_o little_a contest_v concern_v the_o author_n hereof_o i_o shall_v relate_v the_o â—â—e_z matter_n of_o fact_n leave_v the_o reader_n to_o â—own_v judgement_n about_o the_o latter_a end_n of_o k._n james_n ii.'s_n â—gn_n mr_n barlow_n the_o ingenious_a inventor_n forementioned_n contrive_v to_o put_v his_o â—ention_n into_o pocket_n watch_n and_o enâ—voured_v with_o the_o lord_n chief_a justice_n abone_n and_o some_o other_o to_o get_v a_o patent_n â—it_n and_o in_o order_n to_o it_o he_o set_v mr_n tomâ—_n the_o famous_a artist_n to_o work_v upon_o it_o â—o_z according_o make_v a_o piece_n according_a â—is_n direction_n â—r_n quare_fw-la a_o very_a ingenious_a watch_n â—er_n in_o london_n have_v some_o year_n before_o 〈◊〉_d think_v of_o the_o like_a invention_n but_o bring_v it_o to_o perfection_n he_o lay_v by_o thought_n of_o it_o until_o the_o talk_n of_o mr_n barâ—_n patent_n revive_v his_o former_a thought_n â—ch_v he_o then_o bring_v to_o effect_v this_o â—g_z know_v among_o the_o watch-maker_n 〈◊〉_d all_o press_v he_o to_o endeavour_v to_o hinâ—_n mr_n barlow_n patent_n and_o according_o application_n be_v make_v at_o court_n and_o a_o watch_n of_o each_o invention_n produce_v before_o the_o king_n and_o council_n the_o king_n upon_o trial_n of_o each_o of_o they_o be_v please_v to_o give_v the_o preference_n to_o mr_n quare'_v of_o which_o notice_n be_v give_v soon_o after_o in_o the_o gazette_n the_o difference_n between_o these_o two_o invention_n be_v mr_n barlow'_v be_v make_v to_o repeat_v by_o push_v in_o two_o piece_n on_o each_o side_n the_o watch-box_n one_o of_o which_o repeat_v the_o hour_n the_o other_o the_o quarter_n mr_n quare'_v be_v make_v to_o repeat_v by_o aâ—_n pin_n that_o stick_v out_o near_o the_o pendant_n which_o be_v thrust_v in_o as_o now_o it_o be_v do_v by_o thrust_v in_o the_o pendant_n do_v repeat_v both_o the_o hour_n and_o quarter_n with_o the_o samâ—_n thrust_v it_o will_v i_o think_v be_v very_o frivolous_a toâ—_n speak_v of_o the_o various_a contrivance_n and_o method_n of_o repeat_v work_n and_o the_o inventor_n of_o they_o and_o therefore_o i_o shall_v saâ—_n nothing_o of_o they_o chap._n x._o number_n for_o several_a sort_n of_o movement_n i_o think_v it_o may_v be_v very_o convenient_a to_o set_v down_o some_o number_n fit_a for_o several_a movement_n partly_o to_o be_v as_o example_n to_o exercise_v the_o young_a reader_n in_o the_o forego_n art_n of_o calculation_n and_o partly_o to_o serve_v such_o who_o want_v leisure_n or_o understanding_n to_o attain_v to_o this_o art_n §_o 1._o but_o first_o it_o may_v be_v requisite_a to_o show_v the_o usual_a way_n of_o watch-maker_n write_v down_o their_o number_n which_o be_v somewhat_o different_a from_o that_o in_o the_o precede_a book_n their_o way_n represent_v the_o wheel_n and_o pinion_v on_o the_o same_o spindle_n not_o as_o they_o play_v in_o one_o another_o thus_o the_o number_n of_o a_o old_a house-watch_n of_o 12_o hour_n be_v write_v thus_o my_o way_n the_o watch-maker_n way_n 4_o 48_o 48_o 7_o 56_o 56_o 4_o 6_o 54_o 54_o 7_o 19_o 19_o 6_o accord_n to_o my_o way_n the_o pin._n of_o report_n 4_o drive_v the_o dial-wheel_n 48_o the_o pinion_v 7_o play_n in_o the_o great-wheel_n 56_o etc._n etc._n but_o according_a to_o the_o other_o way_n the_o dial-wheel_n stand_v alone_o the_o great-wheel_n have_v the_o pinion_v of_o report_n on_o the_o same_o arbour_n the_o wheel_n 54_o have_v the_o pin_n 7_o and_o the_o crown-wheel_n 19_o the_o pin_n 6_o on_o the_o same_o spindle_n this_o latter_a way_n though_o very_o inconvenient_a in_o calculation_n represent_v a_o piece_n of_o work_n handsome_o enough_o and_o somewhat_o natural_o §_o 2._o number_n of_o a_o 8_o day_n piece_n with_o 16_o turn_n the_o barrel_n the_o pend._n vibrate_v second_o the_o show_v minute_n second_o etc._n etc._n the_o watch-part_n the_o clock_n part_n 8_o 96_o 8_o 78_o 8_o 60_o 48_o 48_o 6_o 72_o 6_o 48_o 8_o pin_n 7_o 56_o 6_o 48_o 30_o 6_o 48_o in_o the_o watch-part_n the_o wheel_n 60_o be_v the_o minute-wheel_n which_o be_v set_v in_o the_o
middle_n of_o the_o clock_n that_o its_o spindle_n may_v go_v through_o the_o middle_n of_o the_o dial-plate_n to_o carry_v the_o minute-hand_n also_o on_o this_o spindle_n be_v a_o wheel_n 48_o which_o drive_v another_o wheel_n of_o 48_o which_o last_o have_v a_o pinion_v 6_o which_o drive_v round_o the_o wheel_n 72_o in_o 12_o hour_n note_v here_o two_o thing_n 1._o that_o the_o two_o wheel_n 48_o be_v of_o no_o other_o use_n but_o to_o set_v the_o pinion_v 6_o at_o a_o convenient_a distance_n from_o the_o minute-wheel_n to_o drive_v the_o wheel_n 72_o which_o be_v concentrical_a with_o the_o minute-wheel_n for_o a_o pinion_v 6_o drive_v a_o wheel_n 72_o will_v be_v sufficient_a if_o the_o minute-hand_n and_o hour-hand_n have_v two_o different_a centre_n 2._o these_o number_n 60_o 48_o 48-6_a 72_o set_v thus_o ought_v according_a to_o the_o last_o §_o be_v thus_o read_v viz._n the_o wheel_n 60_o have_v another_o wheel_n 48_o on_o the_o same_o spindle_n which_o wheel_n 48_o divide_v play_v in_o or_o turn_v round_o another_o wheel_n 48_o which_o have_v a_o pinion_v 6_o concentrical_a with_o it_o which_o pinion_v drive_v or_o divide_v a_o wheel_n of_o 72._o for_o a_o line_n part_v two_o number_n as_o 60-48_a denote_v those_o two_o number_n to_o be_v concentrical_a or_o to_o be_v place_v upon_o the_o same_o spindle_n and_o when_o two_o number_n have_v a_o hook_n between_o they_o as_o 48_o 48_o it_o signify_v one_o to_o run_v in_o the_o other_o as_o have_v before_o be_v hint_v in_o the_o striking-part_n there_o be_v 8_o pin_n on_o the_o second_o wheel_n 48._o the_o count-wheel_n may_v be_v fix_v unto_o the_o great-wheel_n which_o go_v round_o once_o in_o 12_o hour_n §_o 3._o a_o piece_n of_o 32_o day_n with_o 16_o or_o 12_o turn_n both_o part_n the_o watch_n show_v hour_n minute_n and_o second_o and_o the_o pend._n vibrate_v second_o the_o watch-part_n with_o 16_o turn_n with_o 12_o turn_n 16_o 96_o 12_o 96_o 9_o 72_o 9_o 72_o 8_o 60_o 48_o 48_o 6_o 72_o 8_o 60_o 48_o 48_o 6_o 72_o 7_o 56_o 7_o 56_o 30_o 30_o the_o strike_v part_n with_o 16_o turn_n with_o 12_o turn_n 10_o 130_o 8_o 128_o 8_o 96_o 24_o pin_n 8_o 104_o 26_o pin_n 12_o 39_o 8_o 24_o 6_o 72_o double_a hoop_n 8_o 96_o double_a hoop_n 6_o 60_o 8_o 80_o the_o pinion_v of_o report_n be_v fix_v on_o the_o â—nd_n of_o the_o arbour_n of_o the_o pin_n wheel_n this_o pinion_v in_o the_o first_o be_v 12_o the_o count-wheel_n 39_o thus_o 12_o 39_o or_o it_o may_v be_v 8_o 26._o â—n_n the_o latter_a with_o 12_o turn_n it_o may_v be_v 6_o 18_o or_o 8_o 24._o §_o 4._o a_o two_o month_n piece_n of_o 64_o day_n with_o 16_o turn_n pend._n vibrate_v second_o and_o show_v minute_n second_o etc._n etc._n watch-part_n clock-part_n 9_o 90_o 10_o 80_o 8_o 76_o 10_o 65_o 8_o 60_o 48_o 48_o 6_o 72_o 9_o 54_o 12_o pin_n 7_o 56_o 8_o 52_o  _fw-fr 5_o 60-double_a hoop_n 30_o 5_o 50_o hear_v the_o three_o wheel_n be_v the_o pin-wheel_n which_o also_o carry_v the_o pinion_v of_o report_n 8_o drive_v the_o count-wheel_n 52._o or_o thus_o watch-part_n clock-part_n 8_o 80_o 6_o 144_o 8_o 76_o 6_o 78_o 26_o pin_n 8_o 60_o 48_o 48_o 6_o 72_o 8_o 24_o 7_o 56_o 6_o 72-double_a hoop_n 30_o 6_o 60_o §_o 5._o a_o piece_n of_o 13_o week_n with_o pendulum_n turn_v and_o motion_n as_o before_o the_o watch_n part_n 8_o 96_o or_o thus_o 6_o 72_o 8_o 88_o 6_o 66_o 8_o 60_o 48_o 48_o 6_o 72_o 6_o 48_o 48_o 48_o 6_o 72_o 7_o 56_o 6_o 45_o 30_o 30_o the_o clock_n part_n 8_o 72_o or_o thus_o 5_o 145_o 8_o 64_o 37_o 30_o 6_o 90_o 30_o pin_n 8_o 48_o 12_o pin_n 24_o 62_o 6_o 48_o double_a hoop_n 6_o 72_o 5_o 40_o 6_o 60_o §_o 6._o a_o seven_o month_n piece_n with_o turn_v pendulum_n and_o motion_n as_o before_o the_o watch._n the_o clock_n 8_o 60_o 8_o 96_o 8_o 56_o 8_o 88_o 27_o 12_o 8_o 48_o 8_o 64_o 16_o pin_n 6_o 45_o 48_o 48_o 6_o 72_o 6_o 48_o double_a hoop_n 5_o 40_o 6_o 48_o 30_o  _fw-fr §_o 7._o a_o year_n piece_n of_o 384_o day_n with_o turn_v pendulum_n and_o motion_n as_o before_o the_o watch._n the_o clock_n 12_o 108_o 10_o 120_o 9_o 72_o 8_o 96_o 36_o 9_o 8_o 64_o 6_o 78_o 26_o pin_n 8_o 60_o 48_o 48_o 6_o 72_o 6_o 72_o double_a hoop_n 7_o 56_o 6_o 60_o 30_o  _fw-fr if_o you_o have_v rather_o have_v the_o pinion_v of_o report_n on_o the_o spindle_n of_o the_o pin-wheel_n it_o must_v be_v 13_o 39_o §_o 8._o a_o piece_n of_o 30_o hour_n pendulum_n about_o 6_o inch_n the_o watch._n the_o clock_n 12_o 48_o 8_o 48_o 6_o 78_o 6_o 78_o 13_o pin_n 6_o 60_o 6_o 60_o 6_o 42_o 6_o 48_o 15_o  _fw-fr §_o 9_o a_o piece_n of_o 8_o day_n with_o 16_o turn_n pendulum_n about_o 6_o inch_n to_o show_v minute_n second_o etc._n etc._n the_o watch._n the_o clock_n may_v be_v the_o same_o with_o the_o 8_o day_n piece_n before_o §_o 2._o 8_o 96_o 8_o 64_o 48_o 48_o 6_o 72_o 8_o 60_o 8_o 40_o the_o second_o wheel_n 15_o §_o 10._o a_o month_n piece_n of_o 32_o day_n with_o pendulum_n turn_v and_o motion_n as_o the_o last_o the_o watch._n the_o clock_n may_v have_v the_o same_o number_n as_o the_o clock_z §_o 3._o 8_o 64_o 8_o 48_o 6_o 48_o 48_o 48_o 6_o 72_o 6_o 45_o 6_o 30_o second_o wheel_n 15_o §_o 11._o a_o year_n piece_n of_o 384_o day_n with_o pendulum_n turn_v etc._n etc._n as_o the_o last_o the_o watch_n part_n 10_o 90_o or_o thus_o with_o a_o wheel_n less_o and_o not_o to_o show_v minute_n and_o second_o 8_o 64_o  _fw-fr 7_o 56_o 8_o 96_o 6_o 48_o 6_o 72_o 36_o 9_o 6_o 45_o 48_o 48_o 6_o 72_o 6_o 66_o 6_o 30_o 6_o 60_o second_o wheel_n 6_o 54_o 15_o 19_o in_o the_o latter_a of_o these_o two_o number_n the_o pinion_v of_o report_n be_v 36_o on_o the_o second_o wheel_n the_o dial_n wheel_n be_v 9_o the_o clock-part_n may_v have_v the_o same_o number_n as_o the_o year-piece_n before_o §_o 7._o §_o 12._o a_o 8_o day_n piece_n to_o show_v the_o hour_n and_o minute_n pend._n about_o 3_o inch_n long_o 6_o 96_o the_o clock_n may_v have_v the_o same_o number_n as_o the_o 8_o day_n piece_n before_o §_o 2._o 8_o 64_o 6_o 72_o 7_o 49_o 6_o 36_o 19_o automata_n show_v the_o motion_n of_o the_o celestial_a body_n §_o 1._o number_n for_o the_o motion_n of_o the_o sun_n and_o moon_n see_v before_o in_o chap._n 2._o sect._n 5._o §_o 3_o 4._o §_o 2._o number_n to_o show_v the_o revolution_n of_o the_o planet_n saturn_n which_o consist_v of_o 10759_o day_n on_o the_o dial-wheel_n if_o you_o will_v make_v it_o depend_v upon_o a_o wheel_n go_v round_o in_o a_o year_n thus_o 5_o 69_o 4_o 52_o 4_o 48_o 10_o 59_o or_o thus_o 4_o 118_o 4_o 40_o 6_o 30_o note_n the_o lowermost_a pinion_v in_o these_o and_o the_o follow_a number_n be_v to_o be_v fix_v concentrical_a to_o the_o wheel_n which_o be_v to_o drive_v the_o motion_n viz._n the_o dial-wheel_n year-wheel_n or_o etc._n etc._n §_o 3._o number_n for_o the_o planet_n jupiter_n who_o revolution_n be_v 4332_o ½_o day_n on_o the_o dial-wheel_n 4_o 48_o or_o thus_o on_o the_o year-wheel_n 4_o 40_o 6_o 71_o 4_o 36_o  _fw-fr 4_o 32_o  _fw-fr note_n here_o that_o the_o two_o last_o number_n of_o saturn_n may_v be_v the_o two_o first_o of_o jupiter_n also_o by_o the_o permission_n of_o my_o ingenious_a friend_n mr_n flamsteed_o i_o here_o insert_v a_o description_n of_o mr_n olaus_n romer_n the_o french_a king_n be_v mathematician_n instrument_n to_o represent_v the_o motion_n of_o jupiter_n satellite_n a_o copy_n of_o which_o he_o send_v to_o mr_n flamsteed_o in_o 1679._o upon_o a_o axis_fw-la which_o turn_v round_o once_o in_o 7_o day_n be_v four_o wheel_n fix_v one_o of_o 87_o tooth_n a_o second_o of_o 63_o the_o three_o 42_o and_o the_o last_o of_o 28_o tooth_n on_o another_o axis_fw-la run_v 4_o other_o wheel_n or_o pinion_n you_o may_v call_v they_o which_o be_v drive_v by_o the_o aforesaid_a wheel_n the_o first_o be_v a_o wheel_n or_o pinion_v of_o 22_o leaf_n drive_v by_o the_o wheel_n 87_o which_o carry_v round_o the_o first_o satellite_fw-la the_o second_o be_v 32_o drive_v by_o the_o wheel_n 63_o which_o carry_v round_o the_o second_o satellite_fw-la the_o three_o have_v 43_o leaf_n drive_v by_o the_o wheel_n 42_o which_o carry_v the_o three_o satellite_fw-la and_o last_o be_v the_o pinion_v 67_o drive_v by_o the_o wheel_n 28_o which_o carry_v round_o the_o four_o satellite_fw-la on_o the_o first_o axis_fw-la be_v a_o index_n that_o point_v to_o a_o circle_n divide_v into_o 168_o part_n which_o be_v the_o hour_n in_o 7_o day_n on_o
the_o other_o axis_fw-la all_o the_o pinion_n run_v concentrical_o by_o mean_n of_o their_o be_v hollow_a in_o the_o middle_n in_o the_o midst_n of_o they_o all_o the_o axis_fw-la of_o jupiter_n himself_o be_v fix_v with_o a_o little_a ball_n at_o the_o top_n represent_v jupiter_n body_n on_o the_o end_n of_o 4_o small_a wire_n fix_v in_o the_o four_o several_a socket_n of_o the_o aforesaid_a pinion_n may_v 4_o lesser_a globule_n be_v place_v at_o their_o due_a distance_n from_o jupiter_n globule_n to_o represent_v the_o 4_o satellite_n go_v round_o that_o planet_n §_o 4._o number_n for_o mars_n who_o revolution_n be_v 1_o year_n 322_o day_n on_o the_o dial-wheel_n  _fw-fr 4_o 48_o the_o two_o last_o number_n of_o saturn_n may_v be_v the_o two_o first_o of_o mars_n also_o 4_o 40_o 4_o 45_o §_o 5._o number_n for_o venus_n who_o revolution_n be_v in_o 224_o day_n on_o the_o dial-wheel_n  _fw-fr 4_o 32_o note_n the_o last_o number_n of_o jupiter_n may_v be_v the_o first_o of_o venus_n 4_o 32_o 4_o 28_o §_o 6._o number_n for_o mercury_n who_o revolution_n be_v near_o 88_o day_n on_o the_o dial-wheel_n 4_o 56_o 4_o 52_o §_o 7._o number_n to_o represent_v the_o motion_n of_o the_o dragon_n head_n and_o tail_n near_o 19_o year_n to_o show_v the_o eclipse_n of_o the_o sun_n and_o moon_n on_o the_o dial-wheel_n on_o the_o year-wheel_n 4_o 48_o 4_o 76_o 4_o 40_o note_n the_o two_o last_o number_n of_o saturn_n may_v be_v the_o two_o first_o of_o this_o on_o the_o dial-wheel_n 4_o 44_o 4_o 42_o as_o to_o the_o place_v these_o several_a motion_n on_o the_o dial-plate_n i_o shall_v leave_v it_o whole_o to_o the_o workman_n contrivance_n he_o may_v perhaps_o make_v they_o to_o represent_v the_o copernican_n or_o some_o other_o system_n number_n for_o pocket_n watch_n §_o 1._o a_o watch_n to_o go_v 8_o day_n with_o 1â—_n turn_v to_o show_v minute_n and_o second_o the_o train_n 16000_o 6_o 96_o  _fw-fr 6_o 48_o 12_o 48_o 12_o 36._o 6_o 45_o on_o the_o wheel_n 42_o be_v the_o second_v hand_n place_v and_o on_o the_o wheel_n 48_o the_o minute_n hand_n 6_o 42_o 19_o §_o 2._o another_o of_o the_o same_o without_o minute_n and_o second_o to_o go_v with_o only_o 8_o turn_n 20_o 10_o 6_o 66_o 6_o 60_o 5_o 50_o 5_o 45_o 19_o §_o 3._o a_o pocket-watch_n of_o 32_o hour_n with_o 8_o turn_n to_o show_v minute_n and_o second_o train_n as_o the_o last_o 12_o 48_o 6_o 48_o 12_o 48_o 12_o 36_o 6_o 45_o 6_o 42_o second_o hand_n 19_o §_o 4._o the_o usual_a number_n of_o 30_o hour_n pendulum_n watch_v with_o 8_o turn_n to_o show_v the_o hour_n and_o minute_n 12_o 48_o 6_o 54_o 12_o 48_o 12_o 36_o 6_o 48_o 6_o 45_o 15_o §_o 5._o the_o usual_a number_n of_o the_o old_a 30_o hour_n pocket-watch_n with_o 5_o wheel_n with_o 4_o wheel_n 10_o 30_o 6_o 32_o 7_o 63_o 6_o 66_o 6_o 42_o 5_o 50_o 6_o 36_o 5_o 45_o 6_o 32_o 13_o 15_o if_o any_o of_o the_o number_n of_o the_o precede_a wheel_n and_o pinion_n shall_v not_o please_v the_o reader_n he_o may_v easy_o correct_v they_o to_o his_o mind_n by_o the_o instruction_n in_o the_o forego_n book_n the_o way_n in_o short_a be_v this_o divide_v the_o wheel_n by_o the_o pinion_v and_o so_o find_v the_o number_n of_o turn_n according_a to_o chap._n 2._o sect._n 1_o §_o 2._o multiply_v the_o pinion_v you_o like_o better_a by_o this_o number_n of_o turn_n and_o the_o product_n be_v the_o wheel_n thus_o in_o the_o 8_o day_n pocket-watch_n §_o 1_o if_o you_o think_v the_o great-wheel_n too_o large_a you_o make_v it_o instead_o of_o 6_o 96_o 16_o thus_o viz._n 5_o 80_o 16_o i_o e._n choose_v the_o pinion_v only_o 5_o and_o multiply_v it_o by_o 16_o the_o turn_n the_o wheel_n will_v be_v 80._o chap._n xi_o table_n of_o time_n relate_v to_o watch-work_n a_o table_n of_o time_n second_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr 60_o minute_n  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr 3600_o 60_o hour_n  _fw-fr  _fw-fr  _fw-fr  _fw-fr 86400_o 1440_o 24_o day_n  _fw-fr  _fw-fr  _fw-fr 604800_o 10080_o 168_o 7_o week_n  _fw-fr  _fw-fr 2592000_o 43200_o 720_o 30_o 4_o month._n  _fw-fr 31536000_o 525600_o 8760_o 365_o 52_o 12_o year_n the_o forego_v table_n will_v be_v of_o good_a use_n in_o calculation_n for_o the_o ready_a find_v out_o the_o part_n of_o time_n which_o be_v thus_o find_v the_o part_n of_o time_n you_o seek_v for_o the_o number_n in_o the_o concurrence_n of_o square_n be_v the_o answer_n to_o your_o question_n thus_o suppose_v you_o seek_v for_o the_o number_n of_o second_o â—n_n a_o year_n in_o the_o square_n under_o second_o and_o in_o the_o same_o line_n with_o year_n which_o be_v the_o lowermost_a square_n on_o the_o left_a hand_n be_v the_o number_n seek_v viz._n 315_o etc._n etc._n so_o minute_n in_o a_o month_n be_v 43200._o if_o you_o will_v know_v any_o number_n where_o there_o be_v the_o addition_n of_o a_o odd_a number_n to_o it_o as_o the_o second_o in_o a_o month_n and_o one_o day_n add_v the_o second_o in_o a_o month_n which_o be_v 259_o and_o the_o second_o in_o a_o day_n which_o be_v 86_o and_o you_o have_v the_o number_n seek_v viz._n 2678400._o a_o table_n to_o set_v a_o watch_n by_o the_o fix_a star_n night_n hour_n min._n sec._n night_n hour_n min._n sec._n 1_o 0_o 3_o 57_o 16_o 1_o 3_o 20_o 2_o 0_o 7_o 54_o 17_o 1_o 7_o 17_o 3_o 0_o 11_o 51_o 18_o 1_o 11_o 14_o 4_o 0_o 15_o 47_o 19_o 1_o 15_o 11_o 5_o 0_o 19_o 44_o 20_o 1_o 19_o 8_o 6_o 0_o 23_o 41_o 21_o 1_o 23_o 5_o 7_o 0_o 27_o 38_o 22_o 1_o 27_o 1_o 8_o 0_o 31_o 35_o 23_o 1_o 30_o 58_o 9_o 0_o 35_o 32_o 24_o 1_o 34_o 55_o 10_o 0_o 39_o 29_o 25_o 1_o 38_o 52_o 11_o 0_o 43_o 26_o 26_o 1_o 42_o 49_o 12_o 0_o 47_o 23_o 27_o 1_o 46_o 46_o 13_o 0_o 51_o 29_o 28_o 1_o 50_o 43_o 14_o 0_o 55_o 26_o 29_o 1_o 54_o 40_o 15_o 0_o 59_o 23_o 30_o 1_o 58_o 36_o explanation_n of_o the_o table_n this_o table_n show_v how_o much_o the_o sidereal_a go_v fast_a than_o the_o solar_a day_n in_o any_o number_n of_o night_n for_o a_o month_n so_o that_o observe_v by_o your_o watch_n the_o nice_a time_n when_o any_o fix_a star_n come_v to_o the_o meridian_n or_o any_o other_o point_n of_o the_o heaven_n if_o after_o one_o revolution_n of_o that_o same_o star_n to_o the_o same_o point_n your_o watch_n go_v 3′_n 57″_n â—lower_n than_o the_o star_n or_o after_o two_o night_n 7′_n 54″_n or_o 16_o night_n 1_o h._n 3′_n 20″_n etc._n etc._n then_o do_v your_o watch_n keep_v time_n right_o with_o the_o mean_a motion_n of_o the_o sun_n if_o it_o vary_v from_o the_o table_n you_o must_v alter_v the_o length_n of_o your_o pend_n to_o make_v it_o so_o keep_v time_n to_o observe_v the_o time_n nice_o when_o the_o star_n come_v again_o to_o the_o same_o point_n of_o the_o heaven_n it_o be_v necessary_a to_o make_v the_o observation_n with_o a_o telescope_n that_o have_v cross_a thread_n in_o the_o focus_n of_o the_o object-glass_n and_o so_o leave_v the_o telescope_n fix_v in_o the_o same_o posture_n till_o a_o second_o observation_n you_o may_v do_v this_o with_o the_o telescopular_a sight_n of_o a_o quadrant_n or_o sextans_fw-la and_o so_o leave_v it_o stand_v until_o anohe_a night_n of_o observation_n or_o for_o want_v of_o this_o more_o nice_a way_n you_o may_v do_v it_o by_o look_v along_o by_o the_o edge_n of_o two_o string_n suspend_v with_o plumbet_n in_o a_o room_n at_o some_o distance_n from_o one_o another_o or_o by_o look_v at_o the_o edge_n of_o a_o chimney_n etc._n etc._n as_o mr_n watson_n have_v direct_v at_o the_o end_n of_o mr_n smith_n horow_a disquis_fw-la but_o to_o make_v a_o tolerable_a observation_n any_o of_o these_o last_o way_n it_o be_v necessary_a to_o have_v a_o candle_n shine_v upon_o the_o edge_n of_o the_o furthermost_a string_n or_o chimney_n without_o which_o you_o can_v see_v exact_o when_o the_o star_n come_v thereto_o a_o table_n show_v the_o variation_n make_v in_o the_o true_a hour_n of_o the_o day_n by_o the_o refraction_n of_o the_o sun_n in_o the_o equator_fw-la and_o both_o the_o solstice_n sun_n altitude_n deg._n sun_n refraction_n variation_n at_o the_o n._n solstice_n variation_n at_o the_o equator_fw-la variation_n at_o the_o s._n solstice_n ′_o ″_o ′_o ″_o ′_o ″_o ′_o ″_o 00_o 33_o 00_o 4_o 34_o 3_o 32_o 4_o 38_o 1_o 23_o 00_o 2_o 34_o 2_o 28_o 3_o 19_o 2_o 17_o 00_o 2_o 24_o 1_o 49_o 2_o 31_o 3_o 13_o 30_o 1_o 46_o 1_o 27_o 2_o 3_o 4_o 11_o 30_o 1_o 29_o 1_o 12_o 1_o 40_o 5_o 9_o 30_o 1_o 12_o 1_o 1_o 1_o 33_o 6_o 7_o
exceed_v i_o shall_v therefore_o commit_v this_o task_n to_o some_o better_a pen_n hope_v that_o no_o person_n will_v take_v it_o amiss_o that_o i_o have_v not_o mention_v what_o i_o have_v be_v behold_v to_o he_o for_o the_o relation_n of_o for_o the_o reason_n last_o mention_v i_o have_v also_o leave_v out_o of_o my_o book_n a_o chapter_n of_o the_o art_n of_o make_v and_o use_v many_o sort_n of_o sodder_n the_o way_n of_o colour_v metal_n etc._n etc._n useful_a in_o the_o practice_n of_o clockwork_n this_o i_o have_v prepare_v for_o the_o sake_n of_o mercurial_a gentleman_n but_o omit_v print_v it_o and_o some_o other_o thing_n out_o of_o charity_n to_o poor_a apprentice_n and_o other_o workman_n who_o purse_n i_o be_o unwilling_a my_o volume_n shall_v too_o much_o exceed_v if_o i_o have_v at_o any_o time_n invade_v the_o workman_n province_n it_o be_v not_o because_o i_o pretend_v to_o teach_v he_o his_o trade_n but_o either_o for_o gentleman_n sake_n or_o when_o the_o matter_n lead_v i_o necessary_o to_o it_o i_o have_v nothing_o more_o to_o add_v but_o that_o i_o will_v have_v this_o little_a treatise_n look_v upon_o only_a as_o a_o essay_n which_o i_o hope_v will_v prompt_v some_o able_a pen_n to_o perform_v the_o task_n better_o especial_o in_o the_o historical_a part_n for_o since_o watch-work_n owe_v so_o much_o to_o our_o age_n and_o country_n it_o be_v pity_n that_o it_o shall_v not_o be_v remember_v especial_o when_o we_o can_v but_o lament_v the_o great_a defect_n of_o history_n about_o the_o beginning_n and_o improvement_n of_o this_o ingenious_a and_o useful_a art_n the_o content_n chap._n i._o of_o the_o term_n of_o art_n the_o more_o general_a term_n p._n 2._o name_n belong_v proper_o to_o the_o watch-part_n p._n 8._o name_n of_o the_o clock-part_n p._n 5._o chap._n ii_o the_o art_n of_o calculation_n sect._n 1_o preliminary_a rule_n to_o find_v the_o turn_n of_o a_o wheel_n or_o pinion_v 8._o the_o way_n of_o write_v down_o the_o number_n 9_o to_o find_v the_o turn_n of_o any_o or_o all_o the_o wheel_n in_o the_o movement_n 10._o to_o find_v the_o beat_v of_o the_o balance_n in_o all_o the_o watch_n go_v or_o in_o one_o turn_n of_o any_o wheel_n 11._o two_o stroke_n to_o every_o tooth_n of_o the_o crown_n wheel_n 14._o sect._n 2._o calculation_n of_o the_o watch-part_n several_a way_n of_o perform_v one_o and_o the_o same_o motion_n 15._o a_o rule_n to_o vary_v number_n 16._o the_o way_n of_o work_v the_o golden_a rule_n 17._o a_o very_a useful_a rule_n to_o vary_v inconvenient_a number_n 18._o rule_n of_o perpetual_a use_n in_o proportion_v the_o part_n of_o a_o watch_n 19_o example_n of_o contrive_v a_o piece_n of_o ordinary_a watch-work_n 22._o example_n thereof_o for_o minute_n and_o second_o 29._o sect._n 3_o calculation_n of_o the_o striking-part_n general_a observation_n and_o rule_n relate_v to_o the_o wheelwork_n of_o a_o clock_n p._n 33._o rule_n of_o perpetual_a use_n in_o proportion_v the_o part_n of_o a_o clock_n 35._o example_n of_o calculate_v the_o number_n of_o a_o small_a clock_n 38._o example_n of_o clock_n of_o long_a continuance_n 39_o a_o useful_a rule_n to_o find_v the_o number_n of_o stroke_n in_o one_o turn_n of_o the_o fusy_n 33._o example_n of_o fix_v the_o pinion_v of_o report_n 34._o sect._n 4._o of_o quarter_n and_o chime_n note_n concern_v the_o quarter_n 45._o of_o make_v the_o chime-barrel_n 46._o of_o divide_v it_o and_o set_v on_o the_o chime-pin_n 47._o chime_n of_o psal_n 100_o and_o of_o a_o song-tune_n 50._o another_o way_n of_o set_v chime_n on_o the_o barrel_n 52._o sect._n 5._o to_o calculate_v number_n to_o represent_v the_o celestial_a motion_n contrivance_n of_o movement_n only_o to_o show_v these_o motion_n 53._o to_o add_v it_o to_o a_o watch_n that_o show_v the_o hour_n of_o the_o day_n 55._o a_o motion_n to_o show_v the_o day_n of_o the_o month_n 56._o to_o show_v the_o age_n of_o the_o moon_n 57_o to_o show_v the_o day_n of_o the_o year_n and_o sun_n place_n in_o the_o ecliptic_a his_o rise_n or_o set_v etc._n etc._n 58._o to_o show_v the_o tide_n ib._n to_o represent_v the_o motion_n of_o the_o planet_n fix_a star_n etc._n etc._n 60._o chap._n iii_o to_o alter_v clockwork_n p._n 62._o example_n of_o convert_v a_o 12_o hour_n ballance-clock_n into_o a_o pendulum_n 63._o to_o make_v it_o go_v 30_o hour_n 65._o to_o change_v the_o clock-part_n 67._o chap._n iu._n to_o size_n wheel_n and_o pinion_n to_o do_v it_o arithmetical_o 69._o mechanical_o 70._o chap._n v._o of_o pendulum_n irregularity_n of_o pendular_a motion_n remedy_v 71._o cause_o of_o the_o difference_n of_o the_o motion_n of_o the_o same_o pendulum_n 72._o true_a length_n of_o a_o pendulum_n that_o vibrate_v second_o 73._o to_o find_v the_o centre_n of_o oscillation_n 74._o to_o calculate_v the_o length_n or_o vibration_n of_o pendulum_n 75._o a_o table_n of_o length_n and_o swing_v 78._o to_o correct_v the_o motion_n of_o a_o pendulum_n 79._o chap._n vi_o the_o antiquity_n and_o general_a history_n of_o watch-work_n the_o ancient_a time-engine_n 82._o the_o grecian_a and_o roman_a way_n of_o measure_v time_n 83._o some_o horological_a instrument_n mention_v by_o ancient_a author_n 84._o watch_n or_o clockwork_n no_o new_a german_a invention_n 86._o the_o sphere_n of_o archimedes_n 87._o of_o poâ—idonius_n 89._o the_o beginning_n of_o our_o present_a clockwork_n 91._o clock_n that_o perform_v strange_a feat_n 92._o chap._n vii_o the_o invention_n of_o pendulum_n watch_v mr._n hugens_n the_o inventor_n p._n 93._o other_o claim_v it_o 94._o their_o beginning_n in_o england_n 95._o the_o contriver_n of_o their_o carry_v a_o heavy_a ball_n etc._n etc._n 96._o their_o use_n ibid._n the_o circular_a pendulum_n 97._o chap._n viii_o of_o the_o invention_n of_o pocket_n pendulum_n watch_v inventor_n p._n 99_o several_a way_n of_o they_o ib._n the_o time_n when_o invent_v 103._o mr._n hugens_n watch_n 104._o chap._n ix_o the_o invention_n of_o repeat_v clock_n the_o inventor_n p._n 106._o when_o and_o by_o who_o first_o use_v in_o pocket_n clock_n 107._o chap._n xi_o number_n for_o various_a movement_n the_o way_n of_o watch-maker_n write_v down_o their_o number_n 109._o number_n of_o a_o 8_o day_n piece_n 110._o a_o month_n piece_n 112._o a_o two_o month_n piece_n 113._o a_o quarter_n of_o year_n piece_n 114._o a_o half_a year_n piece_n ib._n a_o year_n piece_n 115._o a_o lesser_a 30_o hour_n piece_n ib._n a_o small_a week_n piece_n ib._n a_o small_a month_n piece_n 116._o a_o small_a year_n piece_n ib._n a_o 8_o day_n piece_n pend._n 3_o inch_n 117._o number_n represent_v the_o motion_n of_o the_o planet_n saturn_n 118._o of_o jupiter_n ib._n monsieur_n romer_n instrument_n for_o jupiter_n satellite_n 119._o number_n for_o mars_n venus_n and_o mercury_n 120._o for_o the_o dragon_n head_n and_o tail_n 121._o number_n for_o pocket_n watch_v of_o 8_o day_n ib._n of_o 30_o hour_n 122_o 123._o the_o way_n to_o amend_v the_o number_n 123._o chap._n xi_o table_n of_o time_n a_o table_n for_o ready_a cast_v up_o the_o part_n of_o time_n 124._o a_o table_n to_o set_v a_o watch_n by_o the_o fix_a star_n 125._o a_o table_n of_o the_o variation_n of_o the_o hour_n by_o the_o sun_n refraction_n 117._o observation_n concern_v refraction_n and_o the_o variation_n of_o the_o hour_n 128_o the_o artificial_a clock-maker_n chap._n i._o of_o the_o term_n of_o art_n or_o name_n by_o which_o the_o part_n of_o a_o automaton_n be_v call_v it_o be_v necessary_a that_o i_o shall_v show_v the_o meaning_n of_o those_o term_n which_o clock-maker_n use_v that_o gentleman_n and_o other_o unskilful_a in_o the_o art_n may_v know_v how_o to_o express_v themselves_o proper_o in_o speak_v and_o also_o understand_v what_o i_o shall_v say_v in_o the_o follow_a book_n i_o shall_v not_o trouble_v the_o reader_n with_o a_o recital_n of_o every_o name_n that_o do_v occur_v but_o only_o such_o as_o i_o shall_v have_v occasion_n to_o use_v in_o the_o follow_a discourse_n and_o some_o few_o other_o that_o offer_v themselves_o upon_o a_o transient_a view_n of_o a_o piece_n of_o work_n i_o begin_v with_o the_o more_o general_a term_n as_o the_o frame_n which_o be_v that_o which_o contain_v the_o wheel_n and_o the_o rest_n of_o the_o work_n the_o pillar_n and_o plate_n be_v what_o it_o chief_o consist_v of_o next_o for_o the_o spring_n and_o its_o appurtenance_n that_o which_o the_o spring_n lie_v in_o be_v the_o spring-box_n that_o which_o the_o spring_n lap_v about_o in_o the_o middle_n of_o the_o spring-box_n be_v the_o spring-arbor_n to_o which_o the_o spring_n be_v hook_v at_o one_o end_n at_o the_o top_n of_o the_o spring-arbor_n be_v the_o endless-screw_a and_o its_o wheel_n that_o which_o the_o spring_n draw_v and_o about_o
which_o the_o chain_n or_o string_n be_v wrap_v and_o which_o be_v common_o taper_n be_v the_o fusy_n in_o large_a work_n go_v with_o weight_n where_o it_o be_v cylindrical_a it_o be_v call_v the_o barrel_n the_o small_a tooth_n at_o the_o bottom_n of_o the_o fusy_n or_o barrel_n that_o stop_v it_o in_o wind_a up_o be_v the_o ratchet_a that_o which_o stop_v it_o when_o wound_n up_o and_o be_v for_o that_o end_n drive_v up_o by_o the_o string_n be_v the_o garde-caut_a or_o guard-cock_n as_o other_o and_o garde-du-cord_n and_o gard-du-gut_n as_o other_o call_v it_o the_o part_n of_o a_o wheel_n be_v the_o hoop_n or_o rim_z the_o tooth_n the_o cross_n and_o the_o collet_n or_o piece_n of_o brass_n sodder_v on_o the_o arbour_n or_o spindle_n on_o which_o the_o wheel_n be_v rivet_v a_o pinion_v be_v that_o little_a wheel_n which_o play_v in_o the_o tooth_n of_o the_o wheel_n its_o tooth_n which_o be_v common_o 4_o 5_o 6_o 8_o etc._n etc._n be_v call_v leves_fw-la not_o tooth_n the_o end_n of_o the_o spindle_n be_v call_v pevett_v the_o hole_n in_o which_o they_o run_v pevet-hole_n the_o gutter_a wheel_n with_o iron_n spike_n at_o the_o bottom_n in_o which_o the_o line_n of_o ordinary_a house-clock_n do_v run_v be_v call_v the_o poultry_n i_o need_v not_o speak_v of_o the_o dial-plate_n the_o hand_n screw_n wedge_n stop_v etc._n etc._n thus_o much_o for_o general_a name_n which_o be_v common_a to_o all_o part_n of_o a_o movement_n the_o part_n of_o a_o movement_n which_o i_o shall_v consider_v be_v the_o watch_n and_o clock_z the_o watch-part_n of_o a_o movement_n be_v that_o which_o serve_v to_o the_o measure_v the_o hour_n in_o which_o the_o first_o thing_n i_o shall_v consider_v be_v the_o balance_n who_o part_n be_v the_o rim_z which_o be_v the_o circular_a part_n of_o it_o the_o verge_n be_v its_o spindle_n to_o which_o belong_v the_o two_o pallet_n or_o nut_n which_o play_v in_o the_o fang_n of_o the_o crown_n wheel_n in_o pocket-watch_n that_o strong_a stud_n in_o which_o the_o low_a pevet_n of_o the_o verge_n play_v and_o in_o the_o middle_n of_o which_o one_o pevet_n of_o the_o crown-wheel_n run_v be_v call_v the_o pottans_fw-fr the_o wrought_a piece_n which_o cover_v the_o balance_n and_o in_o which_o the_o upper_a pevet_n of_o the_o balance_n play_v be_v the_o cock_n the_o small_a spring_n in_o the_o new_a pocket-watch_n be_v the_o regulator_n the_o part_n of_o a_o pendulum_n be_v the_o verge_n pallet_n and_o cock_n as_o before_o the_o ball_n in_o long_a pendulum_n the_o bob_n in_o short_a one_o be_v the_o weight_n at_o the_o bottom_n the_o rod_n or_o wire_n be_v plain_a the_o term_n peculiar_a to_o the_o royal_a swing_n be_v the_o pad_n which_o be_v the_o pallet_n in_o other_o and_o be_v fix_v on_o the_o spindle_n the_o fork_n be_v also_o fix_v on_o the_o spindle_n and_o about_o 6_o inch_n below_o catch_v hold_v on_o the_o rod_n at_o a_o flat_a piece_n of_o brass_n call_v the_o flat_a in_o which_o the_o low_a end_n of_o the_o spring_n be_v fasten_v the_o name_n of_o the_o wheel_n next_o follow_v the_o crown-wheel_n in_o small_a piece_n and_o swing-wheel_n in_o royal_a pendulum_n be_v that_o wheel_n which_o drive_v the_o balance_n or_o pendulum_n the_o contrate-wheel_n be_v that_o wheel_n in_o pocket-watch_n which_o be_v next_o to_o the_o crown-wheel_n who_o tooth_n and_o hoop_n lie_v contrary_a to_o those_o of_o other_o wheel_n the_o great-wheel_n or_o first-wheel_n be_v that_o which_o the_o fusy_n etc._n etc._n immediate_o drive_v next_o it_o be_v the_o second-wheel_n third-wheel_n etc._n etc._n next_o follow_v the_o work_n between_o the_o frame_n and_o dial-plate_n and_o first_o be_v the_o pinion_v of_o report_n which_o be_v that_o pinion_v which_o be_v common_o fix_v on_o the_o arbour_n of_o the_o great-wheel_n and_o in_o old_a watch_n use_v to_o have_v common_o but_o four_o leave_n which_o drive_v the_o dial-wheel_n and_o this_o carry_v about_o the_o hand_n the_o last_o part_n which_o i_o shall_v speak_v of_o be_v the_o clock_n which_o be_v that_o part_n which_o serve_v to_o strike_v the_o hour_n in_o which_o i_o shall_v first_o speak_v of_o the_o great_a or_o first-wheel_n which_o be_v that_o which_o the_o weight_n or_o spring_n first_o drive_v in_o 16_o or_o 30_o hour_n clock_n this_o be_v common_o the_o pin-wheel_n in_o 8_o day_n piece_n the_o second-wheel_n be_v common_o the_o 〈◊〉_d this_o wheel_n with_o pin_n be_v sometime_o call_v the_o striking-wheel_n or_o pin-wheel_n next_o to_o this_o striking-wheel_n follow_v the_o detent-wheel_n or_o hoop-wheel_n have_v a_o hoop_n almost_o round_o it_o in_o whicâ—_n be_v a_o vacancy_n at_o which_o the_o clock_n lock_n the_o next_o be_v the_o three_o or_o four_o wheel_n according_a as_o it_o be_v distant_a froâ—_n the_o first-wheel_n call_v also_o the_o warn_v wheel_n and_o last_o be_v the_o flying-pinion_a with_o a_o fly_n or_o fan_n to_o gather_v air_n and_o so_o bridle_v the_o rapidity_n of_o the_o clock_n motion_n beside_o these_o there_o be_v the_o pinion_v oâ—_n report_n of_o which_o before_n which_o drive_v round_o the_o locking-wheel_n call_v also_o the_o count-wheel_n with_o 11_o notch_n in_o it_o common_o unequal_o distant_a from_o one_o another_o to_o make_v the_o clock_n strike_v the_o hourâ—_n of_o 1_o 2_o 3_o etc._n etc._n thus_o much_o for_o the_o wheel_n of_o the_o clock_n part_n beside_o which_o there_o be_v the_o rash_a or_o ratch_v which_o be_v that_o sort_n of_o wheel_n of_o twelve_o large_a fang_n that_o run_v concentrical_a to_o the_o dial-wheel_n and_o serve_v to_o lift_v up_o the_o detent_n every_o hour_n and_o make_v the_o clock_n strike_v the_o detent_n be_v those_o stop_v which_o by_o be_v lift_v up_o or_o let_v â—all_n down_o do_v lock_n and_o unlock_v the_o clock_n in_o strike_v the_o hammer_n sâ—rike_v the_o bell_n the_o hammer-tail_n be_v what_o the_o striking-pin_n draw_v back_o the_o hammer_n by_o latch_n be_v what_o liâ—t_v up_o and_o unlock_v the_o work_n catch_n be_v what_o hold_v by_o hook_v or_o catch_v hold_n of_o the_o lifting-piece_n do_v lift_v up_o and_o unlock_v the_o detent_n in_o the_o clock_n part_n chap._n ii_o the_o art_n of_o calculation_n sect_n i._o general_n preliminary_a rule_n and_o direction_n for_o calculation_n §_o 1._o for_o the_o more_o clear_a understanding_n this_o chapter_n it_o must_v be_v observe_v that_o those_o automata_n who_o calculation_n i_o chief_o intend_v do_v by_o little_a interstice_n or_o stroke_n measure_v out_o long_a portion_n of_o time_n thus_o the_o stroke_n oâ—_n the_o balance_n of_o a_o watch_n do_v measure_n ouâ—_n minute_n hour_n day_n etc._n etc._n now_o to_o scatter_v those_o stroke_n among_o wheel_n and_o pinion_n and_o to_o proportionate_a they_o â—so_o as_o to_o measure_v time_n regular_o be_v the_o design_n of_o calculation_n for_o thâ—_n clear_a discovery_n of_o which_o it_o will_v be_v necessary_a to_o proceed_v leisurely_o and_o gradual_o 4._o §_o 2._o and_o in_o the_o first_o place_n you_o be_v to_o know_v that_o any_o wheel_n be_v divide_v by_o its_o pinion_v show_v how_o many_o turn_n that_o pinion_v have_v to_o one_o turn_n of_o that_o wheel_n thus_o a_o wheel_n of_o 60_o tooth_n drive_v a_o pinion_v of_o 6_o will_v turn_v round_o the_o pinion_v 10_o time_n in_o go_v round_o once_o from_o the_o fusy_n to_o the_o balance_n the_o wheel_n drive_v the_o pinion_n and_o consequent_o the_o pinion_n run_v fast_o or_o go_v more_o turn_n than_o the_o wheel_n they_o run_v in_o but_o it_o be_v contrary_a from_o the_o great-wheel_n to_o the_o dial_n wheel_n thus_o in_o the_o last_o example_n the_o wheel_n drive_v round_o the_o pinion_v 10_o time_n but_o if_o the_o pinion_v drive_v the_o wheel_n it_o must_v turn_v 10_o time_n to_o drive_v the_o wheel_n round_o once_o §_o 3._o before_o i_o proceed_v further_o i_o must_v show_v how_o to_o write_v down_o the_o wheel_n and_o pinion_n which_o may_v be_v do_v either_o as_o vulgar_a fraction_n or_o in_o the_o way_n of_o division_n in_o vulgar_a arithmetic_n e._n c._n a_o wheel_n of_o 60_o move_v a_o pinion_v of_o 5_o may_v be_v set_v down_o thus_o 60_o 3_o or_o rather_o thus_o 5_o 60_o where_o the_o first_o figure_n be_v the_o pinion_v the_o next_o without_o the_o hook_n be_v the_o wheel_n the_o number_n of_o turn_v which_o the_o pinion_v have_v in_o one_o turn_n of_o the_o wheel_n be_v set_v without_o a_o hook_n on_o the_o right_a hand_n as_o 5_o 60_o 12_o i_o e._n a_o pinion_v 5_o play_v in_o a_o wheel_n of_o 60_o move_v round_o 12_o time_n in_o one_o turn_n of_o the_o wheel_n 17_o a_o whole_a movement_n maâ—_n be_v note_v thus_o 4_o â—â—_o 55_o 5_o 45_o 5_o 40_o 5_o 17_o notch_n in_o the_o crown_n wheel_n or_o rather_o as_o you_o see_v here_o in_o the_o margin_n where_o the_o
of_o the_o new_a pendulum_n pocket_n watch_v or_o any_o other_o train_n have_v thus_o pitch_v upon_o your_o train_n you_o must_v next_o resolve_v upon_o the_o number_n of_o turn_n you_o intend_v your_o fusy_n shall_v have_v and_o also_o upon_o the_o number_n of_o hour_n you_o will_v have_v your_o piece_n to_o go_v as_o suppose_v 12_o turn_n and_o to_o go_v 30_o hour_n or_o 192_o hour_n which_o be_v 8_o day_n or_o &c._n &c._n these_o thing_n be_v all_o soon_o determine_v you_o next_o proceed_v to_o find_v out_o the_o beat_v of_o the_o balance_n or_o pendulum_n in_o one_o turn_n of_o the_o fusy_n by_o the_o last_o §_o 6._o part_n 3._o viz._n as_o the_o turn_v of_o the_o fusy_n to_o the_o hour_n of_o the_o watch_n go_v so_o be_v the_o train_n to_o the_o number_n of_o beat_v in_o one_o turn_n of_o the_o fusy_n in_o number_n thus_o 12._o 16_o 20000._o 26666._o which_o last_o number_n be_v the_o beat_v in_o one_o turn_n of_o the_o fusy_n or_o great-wheel_n and_o by_o sect._n i._o §_o 5._o of_o this_o chap._n be_v equal_a to_o the_o quotient_n of_o all_o the_o wheel_n unto_o the_o balance_n multiply_v together_o this_o number_n therefore_o be_v to_o be_v break_v into_o a_o convenient_a parcel_n of_o quotient_n which_o you_o be_v to_o do_v after_o this_o manner_n first_o half_a your_o number_n of_o beat_v viz._n 26666_o for_o the_o reason_n in_o sect._n i._o §_o 6._o of_o this_o chap._n the_o half_a whereof_o be_v 13333._o next_o you_o be_v to_o pitch_v upon_o the_o number_n of_o your_o crown-wheel_n as_o suppose_v 17._o divide_v 13333_o by_o 17_o the_o quotient_n will_v be_v 784_o or_o to_o speak_v in_o the_o language_n of_o one_o that_o understand_v not_o arithmetic_n divide_v 13333_o into_o 17_o part_n and_o 784_o will_v be_v one_o of_o they_o this_o 784_o be_v the_o number_n leave_v for_o the_o quotient_n or_o turn_n of_o the_o rest_n of_o the_o wheel_n and_o pinion_n which_o be_v too_o big_a for_o one_o or_o two_o quotient_n may_v be_v best_a break_v into_o three_o choose_v therefore_o 3_o number_n which_o when_o multiply_v all_o together_o continual_o will_v come_v near_a 784._o as_o suppose_v you_o take_v 10_o 9_o and_o 9_o now_o 10_o time_n 9_o be_v 90_o and_o 9_o time_n 90_o be_v 810_o which_o be_v somewhat_o too_o much_o you_o may_v therefore_o try_v again_o other_o number_n as_o suppose_v 11_o 9_o and_o 8._o these_o multiply_v as_o the_o last_o produce_v 792_o which_o be_v as_o near_o as_o can_v be_v and_o convenient_a quotient_n thus_o you_o have_v contrive_v your_o piece_n from_o the_o great-wheel_n to_o the_o balance_n but_o the_o number_n not_o fall_v out_o exact_o according_a as_o you_o at_o first_o propose_v you_o must_v correct_v your_o work_n thus_o first_o to_o find_v out_o the_o true_a number_n of_o beat_v in_o one_o turn_n of_o the_o fusy_n you_o must_v multiply_v 792_o aforesaid_a which_o be_v the_o true_a product_n of_o alâ—_n the_o quotient_n by_o 17_o the_o notch_n of_o the_o crown-wheel_n the_o product_n of_o this_o iâ—_n 13464_o which_o be_v half_a the_o number_n of_o true_a beat_v in_o one_o turn_n of_o the_o fusy_n by_o sect._n â—_o §_o 5._o of_o this_o chap._n then_o to_o find_v the_o truâ—_n number_n of_o beat_v in_o a_o hour_n say_v by_o §_o 6_o part_n 4._o of_o this_o section_n as_o the_o hour_n oâ—_n the_o watch_n go_v viz._n 16_o to_o the_o 1â—_n turn_v of_o the_o fusy_n so_o be_v 13464_o the_o haâ—â—_n beat_v in_o one_o turn_n of_o the_o fusy_n to_o 1009â—_n the_o half_a beat_v in_o a_o hour_n the_o numbeâ—_n will_v stand_v thus_o 16._o 12_o 13464._o 1009â—_n then_o to_o know_v what_o quotient_n be_v to_o bâ—_n lay_v upon_o the_o pinion_v of_o report_n say_v by_o 〈◊〉_d 6._o part_n 5._o of_o this_o sect_n as_o the_o hour_n 〈◊〉_d the_o watch_n go_v viz._n 16_o to_o the_o turâ—_n of_o the_o fusy_n viz._n 12_o so_o be_v the_o houâ—â—_n of_o the_o dial-plate_n viz._n 12_o to_o the_o quotient_a of_o the_o pinion_v of_o report_n in_o number_n thus_o 16._o 12_o 12._o 9_o 17_o have_v thus_o find_v out_o all_o your_o quotient_n it_o be_v easy_a to_o determine_v what_o number_n your_o wheel_n shall_v have_v for_o choose_v what_o number_n your_o pinion_n shall_v have_v and_o multiply_v the_o pinion_n by_o their_o quotient_n and_o that_o produce_v the_o number_n for_o your_o wheel_n as_o you_o see_v in_o the_o margin_n thus_o 4_o be_v the_o number_n of_o your_o pinion_v of_o report_n and_o 9_o its_o quotient_a therefore_o 4_o time_n 9_o which_o make_v 36_o be_v the_o number_n for_o the_o dial-wheel_n so_o the_o next_o pinion_v be_v 5_o and_o its_o quotient_a 11_o this_o multiply_v produce_v 55_o for_o the_o great-wheel_n and_o the_o like_a of_o the_o rest_n of_o the_o follow_a number_n thus_o as_o plain_a as_o word_n can_v express_v it_o i_o have_v show_v how_o to_o calculate_v the_o number_n of_o a_o 16_o hour_n watch._n 21._o §_o 8._o this_o watch_n may_v be_v make_v to_o go_v a_o long_a time_n by_o lessen_v the_o train_n and_o alter_v the_o pinion_v of_o report_n suppose_v you_o can_v convenient_o slacken_v the_o train_n to_o 16000_o the_o half_a of_o which_o be_v 8000._o 8._o then_o say_v by_o §_o 6_o part_n 2._o of_o this_o sect._n as_o the_o halfed_a train_n or_o beat_v in_o a_o hour_n viz._n 8000_o to_o the_o halfed_a beat_v in_o one_o turn_n of_o the_o fusy_n viz._n 13464_o so_o be_v the_o turn_v of_o the_o fusy_n viz._n 12_o to_o the_o hour_n of_o the_o watch_n go_v in_o number_n thus_o 8000._o 13464_o 12._o 20_o so_o that_o this_o watch_n will_v go_v 20_o hour_n then_o for_o the_o pinion_v of_o report_n say_v by_o the_o same_o §_o part_n 5_o as_o 20_o the_o continuance_n to_o 12_o the_o turn_v of_o the_o fusy_n so_o be_v 12_o the_o hour_n of_o the_o face_n to_o 7_o the_o quotient_a of_o the_o pinion_v of_o report_n in_o number_n thus_o 20._o 12_o 12._o 7._o 17_o the_o work_n be_v the_o same_o as_o before_o as_o to_o the_o number_n only_o the_o dial-wheel_n be_v but_o 28_o because_o its_o quotient_n be_v alter_v to_o 7_o as_o appear_v in_o the_o margin_n by_o the_o scheme_n of_o the_o work_n §_o 9_o i_o shall_v give_v the_o reader_n one_o example_n more_o for_o the_o sake_n of_o show_v he_o the_o use_n of_o some_o of_o the_o forego_n rule_n not_o yet_o take_v notice_n of_o in_o the_o former_a operation_n suppose_v you_o 22._o will_v give_v number_n to_o a_o watch_n of_o about_o 10000_o beat_v in_o a_o hour_n to_o have_v 12_o turn_n of_o the_o fusy_n to_o go_v 170_o hour_n and_o 17_o notch_n in_o the_o crown-wheel_n this_o work_n be_v the_o same_o as_o in_o the_o last_o example_n §_o 7._o in_o short_a therefore_o thus_o as_o the_o turn_v 12_o be_v to_o the_o continuance_n 170_o so_o be_v the_o train_n 10000_o to_o 141666_o which_o be_v the_o beat_v in_o one_o turn_n of_o the_o fusy_n the_o number_n will_v stand_v thus_o 12._o 170_o 10000_o 14â—666_n half_n this_o last_o be_v 70â—33_n divide_v this_o half_a into_o 17_o part_n and_o 4167_o will_v be_v for_o the_o quotient_n and_o because_o this_o number_n be_v too_o big_a for_o 3_o quotient_n therefore_o choose_v 4_o as_o suppose_v 10_o 8_o 8_o and_o 6_o â…—_n i._n e._n 6_o and_o 3_o fifth_n these_o multiply_v together_o as_o before_o and_o with_o 17_o make_v 71808_o which_o be_v half_o the_o true_a beat_v in_o one_o turn_n of_o the_o fusy_n by_o this_o you_o be_v to_o find_v out_o your_o true_a train_n first_o saying_n as_o in_o the_o former_a example_n as_o 170_o to_o 12_o so_o 71808_o to_o 5069_o which_o last_o be_v the_o half_a of_o the_o true_a train_n of_o your_o watch._n then_o for_o the_o pinion_v of_o report_n say_v as_o 170_o to_o 12_o so_o 12_o to_z 1_o â—4_n 74_o â—_o which_o fraction_n arise_v thus_o if_o you_o multiply_v 12_o by_o 12_o it_o make_v 144_o and_o divide_v 144_o by_o 170_o you_o can_v but_o set_v the_o 144_o the_o dividend_n over_o 170_o the_o divisor_n and_o there_o arise_v this_o fraction_n â—_o 24_o â—4_n â—_o which_o be_v a_o wheel_n and_o pinion_v the_o low_a be_v the_o pinion_v of_o report_n and_o the_o upper_a be_v the_o dial-wheel_n according_a to_o sect._n i._o §_o 3._o of_o this_o chapter_n or_o which_o perhaps_o will_v be_v more_o plain_a to_o the_o unlearned_a reader_n you_o may_v leave_v those_o two_o number_n in_o their_o divisional_a posture_n thus_o 170_o 144_o which_o do_v express_v the_o pinion_v and_o wheel_n in_o the_o way_n i_o have_v hitherto_o make_v use_n of_o but_o to_o proceed_v these_o number_n be_v too_o big_a to_o be_v cut_v in_o small_a 17_o wheel_n may_v be_v vary_v as_o you_o see_v a_o like_a example_n be_v §_o 5._o of_o this_o section_n viz._n say_v
will_v fall_v under_o the_o next_o §_o §_o 2._o these_o follow_a rule_n will_v be_v of_o great_a use_n in_o this_o part_n of_o calculation_n viz._n rule_n 1._o as_o the_o number_n of_o turn_n of_o the_o great-wheel_n or_o fusy_a to_o the_o day_n of_o the_o clock_n continuaucâ—_n so_o be_v the_o number_n of_o stroke_n in_o 24_o hour_n viz._n 156_o to_o the_o stroke_n in_o one_o turn_n of_o the_o fusy_n or_o great-wheel_n rule_n 2._o as_o the_o number_n of_o stroke_n in_o 24_o hour_n which_o be_v 156_o to_o the_o stroke_n in_o one_o turn_n of_o the_o fusy_n or_o great-wheel_n so_o be_v the_o turn_v of_o the_o fusy_n or_o great-wheel_n to_o the_o day_n of_o the_o clock_n continuance_n or_o go_v rule_v 3_o as_o the_o stroke_n in_o one_o turn_n of_o the_o fuâ—y_n to_o the_o stroke_n of_o 24_o hour_n viz._n 156._o so_o be_v the_o clock_n continuance_n to_o the_o number_n of_o turn_n of_o the_o fusy_n or_o great-wheel_n these_o two_o last_o rule_n be_v of_o no_o great_a use_n as_o the_o first_o be_v but_o may_v serve_v to_o correct_v your_o work_n if_o need_v be_v when_o in_o break_v your_o stroke_n into_o quotient_n of_o which_o present_o you_o can_v come_v near_o the_o true_a number_n but_o a_o good_a many_o stroke_n be_v leave_v remain_v in_o this_o case_n by_o rule_n 2._o you_o may_v find_v whether_o the_o continuance_n of_o your_o clock_n be_v to_o your_o mind_n and_o by_o rule_n 3_o you_o may_v enlarge_v or_o diminish_v the_o number_n of_o turn_n for_o this_o purpose_n the_o praxis_fw-la hereof_o will_v follow_v by_o and_o by_o the_o 2_o follow_a rule_n be_v to_o find_v fit_a number_n for_o the_o pinion_v of_o report_n and_o the_o locking-wheel_n beside_o what_o be_v say_v before_o §_o 1._o inference_n 2._o rule_n 4._o as_o the_o number_n of_o stroke_n in_o the_o clock_n continuance_n or_o in_o all_o itâ—_n turn_v of_o the_o fusy_n to_o the_o turn_v of_o the_o fusy_n so_o be_v the_o stroke_n in_o 12_o hour_n which_o be_v 78_o to_o the_o quotient_a of_o the_o pinion_v of_o report_n fix_v upon_o the_o arbour_n of_o the_o great-wheel_n but_o if_o you_o will_v fix_v it_o to_o any_o other_o wheel_n you_o may_v do_v it_o thus_o as_o be_v before_o 2d_o hint_v viz._n rule_n 5._o first_o find_v out_o the_o number_n of_o stroke_n in_o one_o turn_n of_o the_o wheel_n you_o intend_v to_o fix_v your_o pinion_v of_o report_n upon_o which_o i_o shall_v show_v you_o how_o to_o do_v in_o the_o follow_a §_o divide_v 78_o by_o this_o number_n and_o the_o number_n arise_v in_o the_o quotient_a be_v the_o quotient_a of_o the_o pinion_v of_o report_n or_o thus_o take_v the_o number_n of_o stroke_n inâ—â—e_v turn_v of_o the_o wheel_n for_o the_o number_n of_o the_o pinion_v of_o report_n and_o 78_o for_o the_o count_n or_o lock_v wheel_n and_o vary_v they_o to_o lesser_a number_n by_o sect._n 2._o §_o 5._o of_o this_o chapter_n rule_n 6._o the_o forego_v rule_n be_v of_o great_a use_n in_o clock_n of_o a_o large_a continuance_n although_o where_o they_o can_v be_v apply_v they_o will_v indifferent_o serve_v all_o but_o this_o rule_n which_o will_v serve_v large_a clock_n too_o i_o add_v chief_o for_o the_o use_n of_o lesser_a piece_n who_o continuance_n be_v account_v by_o hour_n the_o rule_n be_v to_o find_v the_o stroke_n in_o the_o clock_n continuance_n viz._n as_o 12_o be_v to_o 78_o so_o be_v the_o hour_n of_o the_o clock_n continuance_n to_o the_o number_n of_o stroke_n in_o that_o time_n this_o rule_n i_o say_v may_v be_v make_v use_n of_o for_o the_o large_a clock_n but_o than_o you_o must_v be_v at_o the_o trouble_n of_o reduce_v the_o day_n into_o hour_n whereas_o the_o short_a way_n be_v to_o multiply_v the_o stroke_n in_o one_o turn_n of_o the_o great-wheel_n by_o the_o number_n of_o turn_v thus_o in_o a_o 8_o day_n piece_n the_o stroke_n in_o one_o turn_n be_v 78._o these_o multiply_v by_o 16_o the_o turn_n produce_v 1248_o which_o be_v the_o stroke_n in_o the_o clock_n continuance_n if_o you_o work_v by_o the_o forego_v rule_v the_o hour_n of_o 8_o day_n be_v 192._o then_o say_v 12_o 78_o 192._o 1248._o §_o 3._o in_o this_o paragraph_n i_o shall_v show_v the_o use_n of_o the_o precede_a rule_n and_o by_o example_n make_v all_o plain_a that_o may_v seem_v obscure_a in_o they_o i_o begin_v with_o small_a piece_n of_o which_o but_o brief_o and_o first_o have_v pitch_v upon_o the_o number_n of_o turn_n and_o the_o continuance_n you_o must_v find_v by_o the_o last_o rule_n how_o many_o stroke_n be_v in_o its_o continuance_n then_o divide_v these_o stroke_n by_o the_o number_n of_o turn_n and_o you_o have_v the_o number_n of_o striking-pin_n or_o divide_v by_o the_o number_n of_o pin_n and_o you_o have_v the_o number_n of_o turn_v thus_o a_o clock_n of_o 30_o hour_n with_o 15_o turn_n of_o the_o great-wheel_n have_v 195_o stroke_n for_o by_o the_o last_o rule_n 12._o 78_o 30._o 195._o divide_v 195_o by_o 15_o it_z gives_z 13_o for_o the_o striking-pin_n or_o if_o you_o choose_v 13_o for_o your_o number_n of_o pin_n and_o divide_v 195_o by_o it_o it_z gives_z 15_o for_o the_o number_n of_o â—urns_n as_o you_o see_v in_o the_o margin_n 15_o as_o for_o the_o pinion_v of_o report_n and_o the_o rest_n of_o the_o wheel_n enough_o be_v say_v in_o the_o §_o 1._o but_o suppose_v you_o will_v calculate_v the_o number_n of_o a_o clock_n of_o much_o long_a continuance_n which_o will_v necessitate_v you_o to_o make_v your_o pin-wheel_n further_o distant_a from_o the_o great-wheel_n you_o be_v to_o proceed_v thus_o have_v reâ—olved_v upon_o your_o turn_n you_o must_v find_v out_o the_o number_n of_o stroke_n in_o one_o turn_n of_o the_o great-wheel_n or_o fusy_n by_o §_o 2_o rule_v 1_o thus_o in_o a_o 8_o day_n piece_n of_o 16_o turn_n 16._o 8_o 156._o 78._o so_o in_o a_o piece_n of_o 32_o day_n and_o 16_o turn_n 16_o 32_o 156._o 312._o these_o stroke_n so_o find_v out_o be_v the_o number_n which_o be_v to_o be_v break_v into_o a_o convenient_a parcel_n of_o quotient_n thus_o first_o resolve_v upon_o your_o number_n of_o striking-pin_n divide_v the_o last_o name_v number_n by_o it_o the_o quotient_a arise_v hence_o be_v to_o be_v one_o or_o more_o quotient_n for_o the_o wheel_n and_o pinion_n as_o in_o the_o last_o example_n divide_v 78_o by_o 8_o the_o usual_a pin_n in_o a_o 8_o day_n piece_n and_o the_o quotient_n be_v 9â—_n which_o be_v a_o quotient_a little_a enough_o so_o in_o the_o month-piece_n if_o you_o take_v your_o pin_n 8_o divide_v 312_o by_o it_o the_o quotient_n be_v 39_o which_o be_v too_o big_a for_o one_o must_v bâ—_n break_v into_o two_o quotient_n pin_n for_o wheel_n and_o pinion_n or_o as_o near_a 〈◊〉_d can_v be_v which_o may_v bâ—_n 7_o and_o 5_o or_o 6_o and_o 6½_n thâ—_n latter_a be_v exact_o 39_o and_o may_v therefore_o stand_v as_o you_o see_v be_v do_v in_o the_o margin_n the_o quotient_n be_v thus_o determine_v and_o according_o the_o wheel_n and_o pinioâ—â—_n as_o you_o see_v the_o next_o work_n be_v to_o find_v 〈◊〉_d quotient_a for_o the_o pinion_v of_o report_n to_o â—â—ry_v round_o the_o count_n or_o lock_v whâ—â—_n once_o in_o 12_o hour_n or_o as_o you_o please_v â—_o you_o fix_v your_o pinion_v of_o report_n on_o thâ—_n great-wheel_n arbour_n you_o must_v operate_v 〈◊〉_d the_o rule_n 4._o of_o the_o last_o paragraph_n as_o 〈◊〉_d the_o last_o example_n in_o the_o month-piece_n 〈◊〉_d rule_v 6._o before_o the_o stroke_n in_o the_o continuance_n be_v 4992._o then_o by_o rule_n 4_o say_v 4992._o 16_o 78._o 499â—_n 124â—_n or_o thus_o 4992_o 1248._o the_o first_o of_o which_o two_o number_n be_v the_o pinion_v the_o next_o be_v the_o wheel_n which_o be_v too_o large_a may_v be_v vary_v to_o â—â—_o 9_o or_o 3._o 36_o 9_o or_o to_o â—4_n 6_o or_o 24_o 6_o by_o sect._n 2_o §_o 5._o before_o these_o number_n be_v not_o the_o usual_a number_n of_o a_o month-piece_n but_o only_o make_v use_n of_o by_o i_o as_o better_o illustrate_v the_o forego_n rule_n i_o shall_v therefore_o for_o the_o full_a explication_n of_o what_o have_v be_v say_v brief_o touch_v upon_o the_o calculation_n of_o the_o more_o usual_a number_n they_o common_o increase_v the_o number_n of_o striking-pin_n and_o so_o make_v the_o second-wheel_n the_o striking-wheel_n suppose_v you_o take_v 24_o pin_n divide_v 312_o by_o it_o and_o the_o quotient_n be_v 13._o which_o be_v little_a enough_o pin_n for_o one_o quotient_a and_o may_v therefore_o stand_v as_o you_o see_v be_v do_v in_o the_o margin_n where_o the_o quotient_a of_o the_o first_o wheel_n be_v 13._o in_o the_o second_o wheel_n of_o 72_o tooth_n be_v the_o 24_o pin_n although_o its_o quotient_n be_v but_o 12_o
shall_v happen_v to_o be_v such_o double_a note_n on_o every_o bell_n instead_o of_o 8_o you_o must_v have_v 16_o hammer_n and_o according_o you_o must_v divide_v your_o barrel_n and_o strike_v 16_o stroke_n round_o it_o opposite_a to_o each_o hammer-tail_n thus_o much_o for_o divide_v your_o barrel_n from_o end_n to_o end_v in_o the_o next_o place_n you_o be_v to_o divide_v iâ—_n round_o about_o into_o as_o many_o division_n as_o there_o be_v musical_a barrs_n semibrief_n minums_n etc._n etc._n in_o your_o tune_n thus_o the_o 100th_o psalm-tune_n have_v 20_o semibrief_n the_o song-tune_n follow_v have_v 24_o barrs_n of_o triple_a time_n and_o according_o their_o barrel_n be_v divide_v each_o division_n therefore_o of_o the_o 100th_o psalm_n barrel_n be_v a_o semibrief_n â—nd_v of_o the_o song-tune_n it_o be_v three_o crotchet_n and_o therefore_o the_o intermediate_v space_n serve_v for_o the_o short_a note_n as_o one_o three_o of_o a_o division_n be_v a_o crotchet_n in_o the_o song-tune_n one_o half_n a_o division_n be_v a_o minum_fw-la and_o one_o quarter_v a_o crotchet_n in_o the_o psalm-tune_n thus_o the_o first_o note_n in_o the_o 100th_o psalm_n be_v a_o semibrief_n and_o according_o on_o the_o barrel_n it_o be_v a_o whole_a division_n from_o 5_o to_o 5._o the_o second_o be_v a_o minum_fw-la and_o therefore_o 6_o be_v but_o half_a a_o division_n from_o 5_o and_o so_o of_o the_o rest_n and_o so_o also_o for_o the_o song-tune_n which_o be_v short_a time_n the_o two_o first_o note_n be_v quaver_n be_v distant_a from_o one_o another_o and_o from_o the_o three_o pin_n but_o half_o a_o three_o part_n of_o one_o of_o the_o division_n but_o the_o two_o next_o pin_n of_o the_o bell_n 3_o 3_o be_v crotchet_n be_v distant_a so_o many_o three_o part_n of_o a_o division_n and_o the_o next_o pin_n of_o the_o bell_n 1_o be_v a_o minum_fw-la be_v distant_a from_o the_o follow_a pin_n 4_o two_o three_o of_o a_o division_n a_o table_n of_o chime_n to_o the_o 100_o psalm_n the_o musical_a note_n of_o psalm_n 100_o the_o musical_a note_n of_o such_o command_n over_o my_o fate_n &c_n &c_n a_o song_n the_o chime_n of_o the_o song_n such_o command_n over_o my_o fate_n etc._n etc._n pin_n to_o be_v set_v on_o the_o barrel_n you_o may_v observe_v in_o the_o table_n that_o from_o the_o end_n of_o each_o table_n to_o the_o beginning_n be_v the_o distance_n of_o two_o or_o near_o two_o division_n which_o be_v for_o a_o pause_v between_o the_o end_n of_o the_o tune_n and_o its_o beginning_n to_o chime_n again_o i_o need_v not_o say_v that_o the_o dotts_n run_v about_o the_o table_n be_v the_o place_n of_o the_o pin_n that_o play_v the_o tune_n if_o you_o will_v have_v your_o chime_n complete_a indeed_o you_o ought_v to_o have_v a_o set_v of_o bell_n to_o the_o gamut_n note_n so_o as_o that_o each_o bell_n have_v the_o true_a sound_n of_o sol_n la_o mi_fw-mi fa_fw-it you_o may_v play_v any_o tune_n with_o its_o flat_n and_o sharps_n nay_o you_o may_v by_o these_o mean_n play_v both_o the_o bass_n and_o treble_a with_o one_o barrel_n if_o any_o thing_n go_v before_o appear_v gibberish_n i_o can_v help_v it_o unless_o i_o shall_v here_o teach_v the_o skill_n of_o music_n too_o as_o to_o set_v a_o tune_n upon_o the_o chime-barrel_n from_o the_o number_n of_o bell_n viz._n 1_o 2_o 3_o 4_o i_o shall_v here_o give_v you_o a_o specimen_fw-la thereof_o such_o command_n over_o my_o fate_n in_o number_n 775_o 3_o 3_o 1._o 4_o 5_o 6_o 4._o 4_o 2._o 4_o 3_o 2_o 3_o 4_o 6_o 3_o 5_o 7_o 7_o 7._o ‖_o 5_o 6_o 8_o 8_o 4._o 4_o 4_o 3_o 5_o 4._o 6_o 5_o 7_o 5_o 3_o 41_o 3_o 5_o 5_o 5._o 3_o 3_o 1_o 3_o 5._o 554_o 2_o 4_o 6._o 4_o 3_o 23_o 3_o 53_o 5_o 7_o 7_o 7._o note_v in_o these_o number_n a_o comma_n signify_v the_o note_n before_o it_o to_o be_v a_o crotchet_n a_o prick_v comma_n or_o semi-colon_n denote_v a_o prick_v crotchet_n and_o a_o period_n be_v a_o minum_fw-la where_o no_o punctation_n be_v those_o note_n be_v quaver_n i_o shall_v only_o add_v further_a that_o by_o set_v the_o name_n of_o your_o bell_n at_o the_o head_n of_o any_o tune_n as_o be_v do_v in_o the_o table_n before_o you_o may_v easy_o transfer_v that_o tune_n to_o your_o chime-barrel_n without_o any_o great_a skill_n in_o music_n but_o observe_v that_o each_o line_n in_o the_o music_n be_v three_o note_n distant_a i._n e._n there_o be_v a_o note_n between_o each_o line_n as_o well_o as_o upon_o it_o as_o be_v manifest_a by_o inspect_v the_o table_n sect_n 5._o to_o calculate_v any_o of_o the_o celestial_a motion_n the_o motion_n i_o here_o chief_o intend_v be_v the_o day_n of_o the_o month_n the_o moon_n age_n the_o day_n of_o the_o year_n the_o tide_n and_o if_o you_o please_v the_o slow_a motion_n of_o the_o sun_n apogaeum_n of_o the_o fix_a star_n the_o motion_n of_o the_o planet_n etc._n etc._n §_o 1._o for_o the_o effect_n these_o motion_n you_o may_v make_v they_o to_o depend_v upon_o the_o work_n already_o in_o the_o movement_n or_o else_o measure_v they_o by_o the_o beat_v of_o a_o balance_n or_o pendulum_n if_o the_o latter_a way_n you_o must_v however_o contrive_v a_o piece_n as_o before_o in_o watch-work_n to_o go_v a_o certain_a time_n with_o a_o certain_a number_n of_o turn_n but_o then_o to_o specificate_n or_o determine_v the_o motion_n intend_v you_o must_v proceed_v one_o of_o these_o two_o way_n either_o 1._o find_v how_o many_o beat_v be_v in_o the_o revolution_n divide_v these_o beat_v by_o the_o beat_v in_o one_o turn_n of_o the_o wheel_n or_o pinion_v which_o you_o intend_v shall_v drive_v the_o intend_a revolution_n and_o the_o quotient_n shall_v be_v the_o number_n to_o perform_v the_o same_o which_o if_o too_o big_a for_o one_o may_v be_v break_v into_o more_o quotient_n thus_o if_o you_o will_v represent_v the_o synodical_a revolution_n of_o the_o moon_n which_o be_v 29_o day_n 12_o ¾_n hour_n with_o a_o pendulum_n that_o swing_v second_o the_o movement_n to_o go_v 8_o day_n with_o 16_o turn_n of_o the_o fusy_n and_o the_o great-wheel_n to_o drive_v the_o revolution_n divide_v 2551500_o the_o beat_v in_o 29_o day_n 12_o ¾_n hour_n by_o 43200_o the_o beat_v in_o one_o turn_n of_o the_o great-wheel_n and_o you_o will_v have_v 59_o in_o the_o quotient_a which_o be_v too_o big_a for_o one_o may_v be_v put_v into_o two_o quotient_n or_o 2._o you_o may_v proceed_v as_o be_v direct_v before_o 7._o in_o the_o section_n of_o calculate_v watch-work_n viz._n choose_v your_o train_n turn_v of_o the_o fusy_n continuance_n etc._n etc._n and_o then_o instead_o of_o find_v a_o quotient_a for_o the_o pinion_v of_o report_n find_v a_o number_n which_o be_v all_o one_o as_o a_o pin._n of_o report_n to_o specificate_n your_o revolution_n by_o this_o follow_a rule_n rule_n as_o the_o beat_v in_o one_o turn_n of_o the_o great-wheel_n to_o the_o train_n so_o be_v the_o hour_n of_o the_o revolution_n to_o the_o quotient_a of_o the_o revolution_n thus_o to_o perform_v the_o revolution_n of_o saturn_n which_o be_v 29_o year_n 183_o day_n with_o a_o 16_o hour_n watch_n of_o 26928_o beat_v in_o one_o turn_n of_o the_o fusy_n and_o 20196_o the_o train_n the_o quotient_a of_o the_o revolution_n will_v be_v 193824._o for_o as_o 26928_o to_o 20196_o so_o 258432_o the_o hour_n in_o 29_o y._n and_o 183_o d._n to_o 193824._o note_v here_o that_o the_o great-wheel_n pinion_v be_v to_o drive_v the_o revolution_n work_n but_o if_o you_o will_v have_v the_o revolution_n to_o be_v drive_v by_o the_o dial-wheel_n and_o the_o work_n already_o in_o the_o movement_n which_o in_o great_a revolution_n be_v for_o the_o most_o part_n as_o nice_a as_o the_o last_o way_n and_o in_o which_o i_o intend_v to_o treat_v of_o the_o particular_a motion_n in_o this_o case_n i_o say_v you_o must_v first_o know_v the_o day_n of_o the_o revolution_n and_o because_o the_o dial-wheel_n go_v round_o twice_o in_o a_o day_n therefore_o double_a the_o number_n of_o the_o day_n in_o the_o revolution_n and_o you_o have_v the_o number_n of_o turn_n of_o the_o dial-wheel_n in_o that_o time_n this_o number_n of_o turn_n be_v what_o you_o be_v to_o break_v into_o a_o convenient_a number_n of_o quotient_n for_o the_o wheel_n and_o pinion_n as_o shall_v be_v show_v in_o the_o follow_a example_n §_o 2._o a_o motion_n to_o show_v the_o day_n of_o the_o month._n 26._o the_o day_n in_o the_o large_a month_n be_v 31._o these_o double_v be_v 62_o which_o be_v the_o turn_v of_o the_o dial-wheel_n which_o may_v be_v break_v into_o these_o two_o quotient_n 15_o ½_o and_o 4_o which_o multiply_v together_o make_v 62._o therefore_o choose_v your_o wheel_n and_o pinion_n as_o
have_v be_v direct_v in_o the_o former_a section_n your_o work_n be_v do_v the_o wheel_n 4_o and_o pinion_n may_v be_v as_o you_o see_v do_v in_o the_o margin_n or_o if_o a_o large_a pinion_v then_o one_o of_o 5_o be_v necessary_a by_o reason_n it_o be_v concentric_a to_o a_o wheel_n you_o 4_o may_v take_v 10_o for_o the_o pinion_v and_o 40_o for_o the_o wheel_n as_o in_o the_o margin_n the_o work_n will_v lie_v thus_o in_o the_o movement_n viz._n fix_v your_o pinion_v 10_o concentrical_a to_o the_o dial-wheel_n or_o to_o turn_v round_o with_o it_o upon_o the_o same_o spindle_n this_o pinion_v 10_o drive_v the_o wheel_n 40_o which_o wheel_n have_v the_o pinion_v 4_o in_o its_o centre_n which_o carry_v about_o a_o ring_n of_o 62_o tooth_n divide_v on_o the_o upper_a side_n into_o 31_o day_n or_o you_o may_v without_o the_o trouble_n of_o many_o wheel_n effect_v this_o motion_n viâ—_n by_o a_o ring_n divide_v into_o 30_o or_o 31_o day_n and_o as_o many_o fang_n or_o tooth_n like_o a_o crown_n wheel_n tooth_n which_o be_v catch_v and_o push_v forward_o once_o in_o 24_o hour_n by_o a_o pin_n in_o a_o wheel_n that_o go_v round_o in_o that_o time_n this_o be_v the_o usual_a way_n in_o the_o royal_a pendulum_n and_o many_o other_o clock_n and_o therefore_o be_v common_a i_o shall_v say_v no_o more_o of_o it_o §_o 3._o a_o motion_n to_o show_v the_o age_n of_o the_o ib._n moon_n the_o moon_n finish_v her_o course_n so_o as_o to_o overtake_v the_o sun_n in_o 29_o day_n and_o a_o little_a above_o a_o half_a this_o 29_o ½_o day_n not_o regard_v the_o small_a excess_n make_v 59_o twelve_o hour_n or_o turn_v of_o the_o dial-wheel_n which_o be_v to_o be_v break_v into_o convenient_a quotient_n which_o 4_o may_v be_v 5_o 9_o and_o 10_o as_o in_o the_o first_o example_n or_o 14¾_n and_o 4_o as_o in_o the_o second_o example_n in_o the_o margin_n so_o that_o if_o you_o fix_v a_o pinion_v of_o 10_o concentrical_a with_o your_o dial-wheel_n to_o drive_v a_o wheel_n of_o 40_o according_a to_o the_o last_o example_n which_o wheel_n 40_o drive_v a_o pinion_v 4_o which_o carry_v about_o a_o ring_n or_o wheel_n of_o 59_o tooth_n divide_v on_o the_o upper_a side_n into_o 29_o ½_o it_o will_v show_v the_o moon_n age_n ib._n §_o 4._o a_o motion_n to_o show_v the_o day_n of_o the_o year_n the_o sun_n place_n in_o the_o ecliptic_a sun_n rise_a or_o set_v or_o any_o other_o annual_a motion_n of_o 365_o day_n the_o double_a of_o 365_o be_v 730_o the_o turn_v of_o the_o dial-wheel_n in_o a_o year_n which_o may_v be_v break_v into_o 5_o these_o quotient_n viz._n 18_o ¼_n and_o 10_o and_o 4_o according_a to_o the_o first_o example_n or_o 18_o ¼_n 8_o and_o 5_o according_a to_o the_o second_o so_o that_o a_o pinion_v of_o 5_o be_v to_o lead_v a_o wheel_n of_o 20_o which_o again_o by_o a_o pinion_v of_o 4_o lead_v a_o wheel_n of_o 40_o which_o three_o by_o a_o pinion_v of_o 4_o carry_v about_o a_o wheel_n or_o ring_n of_o 73_o divide_v into_o the_o 12_o month_n and_o their_o day_n or_o into_o the_o 12_o sign_n and_o their_o degree_n or_o into_o the_o sun_n rise_v and_o set_v etc._n etc._n for_o the_o set_n on_o of_o which_o last_o you_o have_v a_o table_n in_o mr._n oughtred_n opuscula_fw-la ib._n §_o 5._o to_o show_v the_o tide_n at_o any_o port._n this_o be_v do_v without_o any_o other_o trouble_n than_o the_o moon_n be_v ring_n before_o mention_v §_o 3._o to_o move_v round_o a_o fix_a circle_n divide_v into_o twice_o 12_o hour_n and_o number_v the_o contrary_a way_n to_o the_o age_n of_o the_o moon_n to_o set_v this_o to_o go_v right_a you_o must_v find_v out_o at_o what_o point_v of_o the_o compass_n the_o moon_n make_v full_a sea_n at_o the_o place_n you_o will_v have_v your_o watch_n serve_v to_o convert_v that_o point_n into_o hour_n allow_v for_o every_o point_n north_n or_o s._n lose_v 45′_n of_o a_o hour_n thus_o at_o london-bridge_n it_o be_v vulgar_o think_v to_o be_v high_a tide_n the_o moon_n at_o n._n e._n and_o s._n w_n which_o be_v 4_o point_n from_o the_o n._n and_o s._n or_o you_o may_v do_v thus_o by_o tide-table_n learn_v how_o many_o hour_n from_o the_o moon_n be_v sothe_v it_o be_v high-water_n or_o thus_o find_v at_o what_o hour_n it_o be_v high-water_n at_o the_o full_a or_o change_n of_o the_o mâ—on_n as_o at_o london-bridge_n the_o full_a tide_n be_v common_o reckon_v to_o be_v 3_o hour_n from_o the_o moon_n be_v sothe_v or_o at_o 3_o of_o clock_n at_o the_o full_a and_o change_n the_o day_n of_o conjunction_n or_o new-moon_n with_o a_o little_a stud_n to_o point_n be_v set_v to_o the_o hour_n so_o find_v will_v afterward_o point_v to_o the_o hour_n of_o full_a tide_n this_o be_v the_o usual_a way_n but_o it_o be_v always_o in_o motion_n as_o the_o tide_n be_v not_o a_o better_a way_n may_v be_v find_v out_o viz._n by_o cause_v a_o wheel_n or_o ring_n to_o be_v move_v forward_o only_o twice_o a_o day_n and_o to_o keep_v time_n as_o near_o as_o can_v be_v with_o mr._n flamsteed_n most_o correct_v table_n but_o this_o i_o shall_v commit_v to_o the_o reader_n contrivance_n it_o be_v easy_a and_o more_o of_o curiosity_n than_o use_n §_o 6._o to_o calculate_v number_n to_o show_v the_o motion_n of_o the_o planet_n the_o slow_a motion_n of_o the_o fix_a star_n and_o of_o the_o sun_n apogeum_n etc._n etc._n have_v say_v enough_o before_o that_o may_v be_v apply_v here_o and_o they_o be_v only_a curiosity_n seldom_o put_v in_o practice_n i_o shall_v not_o therefore_o trouble_v the_o reader_n or_o swell_v my_o book_n with_o so_o many_o word_n as_o will_v be_v require_v to_o treat_v of_o these_o motion_n distinct_o and_o complete_o only_o thus_o much_o in_o general_n know_v the_o year_n of_o any_o of_o these_o revolution_n you_o may_v break_v this_o number_n into_o quotient_n if_o you_o will_v make_v the_o revolution_n to_o depend_v upon_o the_o year_n motion_n which_o be_v already_o in_o the_o movement_n and_o describe_v §_o 4._o before_o or_o if_o you_o will_v have_v it_o depend_v upon_o the_o dial-wheel_n or_o upon_o the_o beat_v of_o a_o penduluâ—_n enough_o be_v say_v before_o to_o direct_v in_o mis_fw-fr matter_n in_o all_o these_o slow_a motion_n you_o may_v somewhat_o â—â—â—â—ten_v your_o labour_n by_o endless_a screw_n to_o serve_v for_o pinion_n which_o be_v but_o as_o a_o pinion_v of_o one_o tooth_n 117._o sir_n ionas_n moor_n account_n of_o his_o large_a sphere_n go_v by_o clockwork_n will_v suffiâ—ently_o illustrate_v this_o paragraph_n in_o this_o sphere_n be_v a_o motion_n of_o 17100_o year_n for_o â—he_n sun_n apogeum_n perform_v by_o six_o wheel_n thus_o as_o sir_n ionas_n relate_v it_o for_o the_o great-wheel_n fix_v be_v 96_o a_o spindle-wheel_n of_o 12_o bar_n turn_v round_o it_o 8_o time_n in_o 24_o hour_n that_o be_v in_o 3_o hour_n after_o these_o there_o be_v four_o wheel_n 20_o 73_o 24_o and_o 75_o wrought_v by_o endless_a screw_n that_o be_v in_o value_n but_o one_o therefore_o 3_o 20_o 73_o 24_o and_o 75_o multiply_v together_o continual_o produce_v 7884000_o 5._o hour_n which_o divide_v by_o 24_o give_v 3285000_o day_n equal_a to_o 900_o year_n now_o on_o the_o last_o wheel_n 75_o be_v a_o pinion_n of_o 6_o turn_v a_o great_a wheel_n that_o carry_v the_o apogeum_n number_n 114_o and_o 114_o divide_v by_o 6_o gives_z 19_o the_o quotient_a and_o 900_o time_n 19_o be_v 17100_o year_n thus_o i_o have_v with_o all_o the_o perspicuity_n i_o â—ould_v lead_v my_o reader_n through_o the_o whole_a â—rt_n of_o calculation_n so_o much_o of_o it_o at_o least_o â—at_a i_o hope_v he_o will_v be_v master_n of_o it_o all_o not_o â—ly_o of_o those_o motion_n which_o i_o have_v parâ—cularly_o treat_v about_o but_o of_o any_o other_o â—t_a mention_v such_o as_o the_o revolution_n of_o the_o dragon_n head_n and_o tail_n whereby_o the_o eclipse_n of_o the_o sun_n and_o moon_n be_v find_v the_o revolution_n of_o the_o several_a orb_n according_a to_o the_o ptolemaick_a system_n or_o of_o the_o celestial_a body_n themselves_o according_a to_o better_a system_n with_o many_o other_o such_o curious_a performance_n which_o have_v make_v the_o sphere_n of_o archimedes_n of_o old_a famous_a and_o since_o he_o that_o of_o william_n of_o zealand_n 17._o and_o another_o of_o janellus_n turrianus_n of_o cremona_n mention_v by_o cardan_n and_o of_o late_a that_o elaborate_a piece_n of_o mr._n watson_n late_o of_o coventry_n now_o of_o london_n in_o her_o late_a majesty_n closet_n chap._n iii_o to_o alter_v clockwork_n or_o convert_v one_o movement_n into_o another_o this_o chapter_n i_o design_v for_o the_o use_n of_o such_o as_o will_v convert_v old_a
and_o be_v as_o a_o architect_n of_o so_o great_a a_o work_n as_o the_o world_n be_v as_o the_o collocutor_n express_v himself_o his_o word_n so_o far_o as_o they_o relate_v to_o my_o present_a purpose_n be_v these_o cum_fw-la solarium_fw-la vel_fw-la descriptum_fw-la aut_fw-la ex_fw-la aqua_fw-la contemplere_fw-la intelligere_fw-la declarari_fw-la horas_fw-la arte_fw-la non_fw-la casu_fw-la etc._n etc._n and_o a_o little_a after_o quod_fw-la si_fw-la in_o scythiam_n aut_fw-la in_o britanniam_fw-la sphaeram_fw-la aliquis_fw-la tulerit_fw-la hanc_fw-la quam_fw-la nuper_fw-la familiaris_fw-la noster_fw-la effecit_fw-la posidonius_n cujus_fw-la singulae_fw-la conversiones_fw-la idem_fw-la efficiunt_fw-la in_o sole_fw-la &_o in_o luna_n &_o in_o quinque_fw-la stellis_fw-la errantibus_fw-la quod_fw-la efficitur_fw-la in_o coelo_fw-la singulis_fw-la diebus_fw-la &_o noctibus_fw-la quis_fw-la in_o illa_fw-la barbarie_fw-la dubitet_fw-la quin_fw-la ea_fw-la sphaera_fw-la sit_fw-la perfecta_fw-la ratione_fw-la the_o sum_n of_o the_o author_n meaning_n be_v that_o there_o be_v sun-dial_n describe_v or_o draw_v with_o lines_n after_o the_o manner_n as_o our_o sun-dial_n be_v and_o some_o make_v with_o water_n which_o be_v the_o clepsydrae_n or_o hour-glass_n beforementioned_a that_o posidonius_n have_v late_o contrive_v a_o sphere_n who_o motion_n be_v the_o same_o in_o the_o sun_n moon_n and_o 5_o planet_n as_o be_v perform_v in_o the_o heaven_n each_o day_n and_o night_n the_o age_n wherein_o this_o sphere_n be_v inâ—ented_v be_v cicero_n time_n which_o be_v aâ—out_a 80_o year_n before_o our_o saviour_n birth_n and_o that_o it_o be_v a_o piece_n of_o clockwork_n â—s_v not_o i_o think_v to_o be_v doubt_v if_o it_o be_v consider_v that_o it_o keep_v time_n with_o those_o celestial_a body_n imitate_v both_o their_o annual_a and_o diurnal_a motion_n as_o from_o the_o â—escription_n we_o may_v gather_v it_o do_v it_o may_v be_v question_v whether_o those_o machine_n be_v common_a or_o not_o i_o believe_v â—hey_n be_v rarity_n then_o as_o well_o as_o mr_n watâ—n's_n and_o other_o be_v account_v now_o but_o â—nethinks_v it_o be_v hard_o to_o imagine_v that_o so_o â—seful_a a_o invention_n shall_v not_o be_v reduce_v â—to_z common_a use_n it_o be_v natural_a and_o â—sie_a to_o apply_v it_o to_o the_o measure_n of_o â—ours_n though_o unequal_a especial_o in_o two_o â—â—ch_a age_n as_o those_o of_o archimedes_n and_o â—ully_o be_v in_o which_o the_o liberal_a art_n so_o great_o flourish_v §_o 6._o after_o the_o time_n last_o mention_v i_o â—nd_v little_a worth_a remark_n till_o the_o last_o age_n 〈◊〉_d which_o clockwork_n be_v revive_v or_o whole_o invent_v anew_o in_o germany_n as_o be_v general_o think_v because_o the_o ancient_a â—ieces_n be_v german_a work_n but_o who_o be_v â—e_a inventor_n or_o in_o what_o time_n i_o can_v dedic_n discover_v some_o think_v sever._n boethius_n invent_v it_o about_o the_o year_n 510._o perhaps_o it_o be_v in_o regiomontanus_n his_o time_n if_o not_o so_o early_o as_o boethius_n which_o be_v above_o 200_o year_n ago_o it_o be_v very_o manifest_a it_o be_v before_o cardan_n time_n because_o he_o speak_v of_o it_o as_o a_o thing_n common_a then_o and_o he_o live_v about_o 150_o year_n since_o §_o 7._o as_o to_o those_o curious_a contrivance_n in_o clockwork_n which_o perform_v strange_a surprise_v feat_n i_o shall_v say_v little_a dr._n heylin_n 2._o tell_v we_o of_o a_o famous_a clock_n and_o dial_n in_o the_o cathedral_n church_n of_o lunden_n in_o denmark_n in_o the_o dial_n say_v he_o be_v to_o be_v see_v distinct_o the_o year_n month_n weekday_n and_o hour_n of_o every_o day_n throughout_o the_o year_n with_o the_o feast_n both_o movable_a and_o fix_v together_o with_o the_o motion_n of_o the_o sun_n and_o moon_n and_o their_o passage_n through_o each_o degree_n of_o the_o zodiac_n then_o for_o the_o clock_n it_o be_v so_o frame_v by_o artifical_a engine_n that_o whensoever_o it_o be_v to_o strike_v two_o horseman_n encounter_v one_o another_o give_v as_o many_o blow_n apiece_o as_o the_o bell_n sound_v hour_n and_o on_o the_o open_n of_o a_o door_n there_o appear_v a_o theatre_n the_o virgin_n mary_n on_o a_o throne_n with_o christ_n in_o her_o arm_n and_o the_o three_o king_n or_o magi_n with_o their_o several_a train_n march_v in_o order_n do_v humble_a reverence_n and_o present_v several_o their_o gift_n two_o trumpeter_n sound_v all_o the_o while_n to_o adorn_v the_o pomp_n of_o that_o procession_n thaumaturg_n to_o this_o i_o may_v add_v many_o more_o such_o curious_a performance_n but_o i_o rather_o choose_v to_o refer_v the_o reader_n to_o schottus_n where_o he_o may_v find_v a_o great_a variety_n to_o please_v he_o chap._n vii_o of_o the_o invention_n of_o pendulum_n watch_v §_o 1._o the_o first_o that_o invent_v the_o way_n of_o apply_v pendulum_n to_o watch-work_n be_v mr_n christian_n hugens_n of_o zulichem_n as_o he_o affirm_v of_o himself_o with_o very_o cogent_a reason_n this_o excellent_a invention_n he_o say_v he_o put_v first_o in_o practice_n in_o the_o year_n 1657_o and_o paris_n in_o the_o follow_a year_n 1658_o he_o print_v a_o delineation_n and_o description_n of_o it_o other_o have_v claim_v the_o honour_n of_o this_o invention_n among_o which_o the_o great_a galileo_n have_v the_o most_o to_o be_v say_v on_o his_o side_n dr._n john_n joachim_n becher_n who_o print_v a_o book_n when_o he_o be_v in_o england_n entitle_v de_n nova_fw-la temporis_fw-la dimetiendi_fw-la ratione_fw-la theoria_fw-la etc._n etc._n which_o he_o dedicate_v to_o the_o english_a royal_a society_n anno_fw-la 1680._o he_o i_o say_v tell_v 8._o we_o that_o the_o count_n magalotti_n the_o great_a duke_n of_o tuscany_n resident_n at_o the_o emperor_n court_n tell_v he_o the_o whole_a history_n of_o these_o pendulum_n clock_n and_o deny_v mr_n zulichem_n to_o be_v the_o author_n of_o they_o also_o that_o one_o treffler_n clock-maker_n to_o the_o father_n of_o the_o then_o g._n duke_n of_o tuscany_n relate_v to_o he_o the_o like_a history_n and_o say_v moreover_o that_o he_o have_v make_v the_o first_o pend._n clock_n at_o florence_n by_o the_o command_n of_o the_o great_a duke_n and_o by_o the_o direction_n of_o his_o mathematician_n galilaeus_fw-la a_o galileo_n a_o pattern_n of_o which_o be_v bring_v into_o holland_n and_o further_o he_o say_v that_o one_o caspar_n dom_n a_o fleming_n and_o mathematician_n to_o john_n philip_n a_o schonborn_n the_o late_a elector_n of_o mentz_n tell_v he_o that_o he_o have_v see_v at_o prague_n in_o the_o time_n of_o rudolphus_n the_o emperor_n a_o pend._n clock_n make_v by_o the_o famous_a justus_n borgen_n mechanic_n and_o clock-maker_n to_o the_o emperor_n which_o clock_n the_o great_a tycho-brahe_n use_v in_o his_o astronomical_a observation_n 12._o thus_o far_o becher_n to_o which_o i_o may_v add_v what_o be_v say_v by_o the_o academy_n del_fw-it cimento_fw-it viz._n it_o be_v think_v good_a to_o apply_v the_o pendulum_n to_o the_o movement_n of_o the_o clock_n a_o thing_n which_o galileo_n first_o invent_v and_o his_o son_n vincenzio_n galilei_n put_v in_o practice_n in_o the_o year_n 1649._o as_o to_o these_o matter_n thus_o relate_v by_o hear-say_n by_o becher_n and_o so_o express_o affirm_v by_o the_o academy_n i_o have_v little_a to_o reply_v but_o that_o mr_n hugens_n do_v express_o say_v he_o be_v the_o inventor_n and_o that_o if_o galileo_n ever_o ib._n think_v of_o any_o such_o thing_n he_o never_o bring_v it_o to_o any_o perfection_n it_o be_v certain_a that_o this_o invention_n never_o flourish_v till_o mr_n hugen_v set_v it_o abroad_o §_o 2._o after_o mr_n hugens_n have_v thus_o invent_v these_o pendulum_n watch_v and_o cause_v several_a to_o be_v make_v in_o holland_n mr_n fromantil_n a_o dutch_a clock-maker_n come_v over_o into_o england_n and_o make_v the_o first_o that_o ever_o be_v make_v here_o which_o be_v about_o the_o year_n 1662._o one_o of_o the_o first_o piece_n that_o be_v make_v in_o england_n be_v now_o in_o gresham-colledg_n give_v to_o that_o honourable_a society_n by_o the_o late_a eminent_a seth_n lord_n bishop_n of_o salisbury_n which_o be_v make_v exact_o according_a to_o mr_n zulichem_n direction_n §_o 3._o for_o several_a year_n this_o way_n of_o mr_n zulichem_n be_v the_o only_a method_n viz._n crown-wheel_n pendulum_n to_o play_v between_o two_o cycloidal_a cheek_n etc._n etc._n but_o afterward_o mr_n w._n clement_n a_o london_n clock-maker_n 3._o contrive_v they_o as_o mr_n smith_n say_v to_o go_v with_o less_o weight_n a_o heavy_a ball_n if_o you_o please_v and_o to_o vibrate_v but_o a_o small_a compass_n which_o be_v now_o the_o universal_a method_n of_o the_o royal_a pendulum_n but_o dr_n hook_n deny_v mr_n clement_n to_o have_v invent_v this_o and_o say_v that_o it_o be_v his_o invention_n and_o that_o he_o cause_v a_o piece_n of_o this_o nature_n to_o be_v make_v which_o he_o show_v before_o the_o r._n society_n soon_o after_o the_o fire_n