Selected quad for the lemma: book_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
book_n	call_v	name_n	speak_v	1,811	5	4.4738	3	false

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A35722	The artificial clock-maker a treatise of watch, and clock-work, wherein the art of calculating numbers for most sorts of movements is explained to the capacity of the unlearned : also, the history of clock-work, both ancient and modern, with other useful matters, never before published / by W.D.	Derham, W. (William), 1657-1735.	1696 (1696)	Wing D1099; ESTC R24292	51,447	146

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 po●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

the_o artificial_a clock-maker_n a_o treatise_n of_o watch_n and_o clockwork_n wherein_o the_o art_n of_o calculate_v number_n for_o most_o sort_n of_o movement_n be_v explain_v to_o the_o capacity_n of_o the_o unlearned_a also_o the_o history_n of_o clockwork_n both_o ancient_a and_o modern_a with_o other_o useful_a matter_n never_o before_o publish_v by_o w._n d._n m._n a._n london_n print_v for_o james_n knapton_n at_o the_o crown_n in_o st._n paul_n churchyard_n 1696._o the_o preface_n the_o follow_a book_n be_v at_o first_o draw_v up_o in_o a_o rude_a manner_n only_o to_o please_v myself_o and_o divert_v the_o vacant_a hour_n of_o a_o solitary_a country_n life_n but_o it_o be_v now_o publish_v pure_o in_o hope_n of_o its_o do_v some_o good_a in_o the_o world_n among_o such_o who_o genius_n and_o leisure_n lead_v they_o to_o mechanical_a study_n or_o those_o who_o business_n and_o livelihood_n it_o be_v many_o there_o be_v who_o fault_n or_o calamity_n it_o be_v to_o have_v time_n lie_v upon_o their_o hand_n and_o for_o want_v of_o innocent_a do_v betake_v themselves_o to_o hurtful_a pleasure_n this_o be_v the_o too_o common_a misfortune_n of_o person_n of_o quality_n among_o some_o of_o the_o courser_n sort_n of_o these_o if_o this_o book_n shall_v find_v some_o acceptance_n it_o may_v be_v a_o mean_n to_o compose_v their_o loose_a spirit_n and_o by_o a_o innocent_a guile_n initiate_v they_o in_o other_o study_n of_o great_a use_n to_o themselves_o their_o family_n and_o country_n however_o it_o may_v hinder_v their_o commission_n of_o many_o sin_n which_o be_v the_o effect_n of_o idleness_n if_o there_o be_v any_o one_o person_n in_o who_o these_o good_a effect_n be_v produce_v i_o shall_v think_v my_o idle_a hour_n well_o bestow_v and_o bless_v god_n for_o it_o however_o upon_o the_o account_n of_o the_o innocence_n of_o my_o end_n in_o publish_v this_o book_n and_o that_o it_o be_v write_v only_o as_o the_o ha●●less_a i_o may_v add_v also_o the_o virtuous_a sport_n of_o leisure_n hour_n i_o think_v myself_o excusable_a to_o god_n and_o the_o world_n for_o the_o expense_n of_o so_o much_o time_n in_o a_o subject_a different_a from_o my_o profession_n but_o beside_o i_o think_v myself_o under_o some_o little_a obligation_n of_o justice_n and_o charity_n to_o publish_v the_o ensue_a paper_n for_o the_o sake_n of_o those_o who_o business_n the_o mechanic_n part_n be_v i_o take_v it_o to_o be_v a_o charity_n to_o the_o trade_n because_o there_o be_v many_o although_o excellent_a in_o the_o work_a part_n who_o be_v utter_o unskilled_a in_o the_o artificial_a part_n of_o it_o and_o then_o it_o be_v a_o debt_n i_o pay_v because_o i_o owe_v somewhat_o of_o health_n as_o well_o as_o diversion_n to_o the_o study_n and_o practice_n of_o these_o sort_n of_o mechanic_n and_o the_o best_a requital_n i_o can_v make_v for_o my_o trespass_n be_v to_o publish_v what_o i_o have_v have_v better_a opportunity_n perhaps_o of_o learning_n than_o many_o workman_n have_v and_o further_a yet_o there_o be_v another_o rea&_n rea&_n son_n which_o much_o prevail_v with_o i_o to_o publish_v this_o book_n viz._n because_o no_o body_n that_o i_o know_v of_o have_v prevent_v i_o by_o treat_v so_o plain_o and_o intelligible_o of_o this_o subject_n as_o to_o be_v understand_v by_o a_o vulgar_a workman_n i_o have_v often_o wonder_v at_o it_o that_o so_o useful_a and_o delightful_a a_o part_n of_o mechanical_a mathematics_n shall_v lie_v in_o any_o obscurity_n in_o a_o age_n wherein_o such_o vast_a improvement_n have_v be_v make_v therein_o and_o when_o many_o book_n be_v daily_o publish_v upon_o every_o subject_n i_o speak_v here_o of_o this_o art_n remain_v in_o obscurity_n not_o as_o if_o nothing_o be_v ever_o write_v of_o it_o and_o i_o the_o in_o venture_n of_o automatical_a computation_n but_o although_o i_o can_v assume_v the_o glory_n of_o be_v the_o first_o writer_n upon_o this_o subject_n yet_o very_a few_o have_v as_o yet_o do_v it_o of_o which_o i_o shall_v next_o give_v some_o account_n cardan_n kircher_n and_o scottus_fw-la promise_v it_o but_o i_o do_v not_o find_v they_o ever_o publish_v any_o thing_n to_o the_o purpose_n of_o it_o our_o great_a mr._n oughtre_v i_o take_v to_o be_v the_o first_o that_o ever_o write_v to_o any_o purpose_n about_o the_o calculation_n of_o automata_n and_o i_o believe_v he_o be_v the_o first_o that_o bring_v that_o art_n under_o rule_n in_o his_o little_a treatise_n call_v automtaa_n this_o book_n be_v first_o surreptitious_o publish_v in_o english_a in_o a_o little_a book_n call_v horolog_n dialogue_n in_o the_o year_n 1675_o and_o afterward_o far_o more_o complete_o in_o latin_a at_o the_o theatre_n in_o oxon_n among_o mr._n oughtre_v s_o opusc_n mathem_n in_o the_o year_n 1677._o this_o last_o edition_n it_o be_v my_o misfortune_n not_o to_o meet_v with_o until_o it_o be_v too_o late_o and_o therefore_o i_o have_v be_v force_v to_o quote_v the_o first_o and_o worst_a in_o my_o book_n what_o mr._n oughtre_v have_v wrap_v up_o in_o ●his_fw-la algebraick_n obscure_a character_n be_v afterward_o put_v into_o plain_a language_n by_o that_o excellent_a mathematician_n sir_n jon._n moor_n with_o some_o addition_n of_o his_o own_o which_o you_o have_v in_o his_o math._n compend_v and_o since_o he_o by_o mr._n leyborne_n in_o his_o pleasure_n with_o profit_n i_o hope_v i_o shall_v not_o be_v judge_v to_o have_v transgress_v the_o rule_n of_o modesty_n in_o come_v af●r_n three_o such_o famous_a man_n neither_o shall_v i_o venture_v that_o censure_n but_o for_o two_o reason_n one_o be_v i_o find_v by_o experience_n that_o what_o they_o have_v write_v be_v understand_v by_o very_a few_o workman_n and_o therefore_o i_o have_v endeavour_v with_o all_o industry_n to_o make_v the_o matter_n as_o plain_a as_o i_o can_v for_o such_o for_o which_o reason_n i_o hope_v the_o more_o learned_a reader_n will_v excuse_v my_o use_v many_o word_n when_o few_o will_v have_v serve_v his_o turn_n and_o that_o i_o have_v condescend_v to_o low_a thing_n and_o to_o he_o needless_a as_o teach_v the_o golden-rule_a etc._n etc._n the_o other_o reason_n be_v that_o what_o those_o three_o have_v write_v relate_v only_o or_o chief_o to_o the_o watch-part_n to_o which_o i_o have_v add_v several_a other_o thing_n of_o my_o own_o particular_o the_o calculation_n of_o the_o clock-part_n etc._n etc._n i_o have_v be_v force_v to_o reduce_v to_o rule_n myself_o and_o to_o name_n no_o more_o the_o historical_a part_n have_v not_o be_v so_o much_o as_o attempt_v before_o that_o i_o know_v of_o these_o reason_n will_n i_o hope_v excuse_v i_o with_o the_o most_o censorious_a reader_n not_o only_o for_o presume_v to_o write_v after_o so_o accurate_a a_o piece_n as_o mr._n oughtre_v s_o be_v but_o also_o the_o novelty_n of_o the_o subject_n will_v i_o hope_v procure_v for_o i_o a_o candid_a interpretation_n of_o the_o fault_n and_o blunder_n that_o i_o may_v have_v unwitting_o commit_v to_o the_o precede_a account_n of_o what_o other_o have_v write_v which_o show_v what_o help_v i_o have_v have_v from_o print_a book_n i_o shall_v subjoin_v my_o acknowledgement_n and_o thanks_o to_o the_o principal_a of_o my_o friend_n who_o have_v give_v i_o thei●_n assistance_n in_o compile_v this_o book_n but_o thei●_n name_n i_o shall_v not_o make_v more_o public_a than_o i_o own_o be_v unwilling_a to_o be_v discover_v myself_o in_o the_o chap._n of_o the_o term_n of_o art_n i_o owe_v much_o to_o the_o assistance_n of_o l._n br_n ...._o a_o judicious_a workman_n in_o white-chappel_n who_o draw_v i_o up_o a_o scheme_n of_o the_o clock-maker_n s_o language_n in_o the_o history_n of_o the_o modern_a invention_n i_o have_v have_v among_o some_o other_o the_o assistance_n chief_o of_o the_o ingenious_a dr._n h_o ...._o and_o mr._n t_o ...._o the_o former_a be_v the_o author_n of_o some_o and_o well_o acquaint_v with_o other_o of_o the_o mechanical_a invention_n of_o that_o fertile_a reign_n of_o king_n charles_n the_o ii_o and_o the_o latter_a actual_o concern_v in_o all_o or_o most_o of_o the_o late_a invention_n in_o clockwork_n by_o mean_n of_o his_o fame_a skill_n in_o that_o and_o other_o mechanic_n operation_n there_o be_v some_o other_o contrivance_n of_o this_o last_o age_n beside_o those_o i_o have_v mention_v which_o i_o have_v pass_v over_o in_o silence_n because_o either_o they_o be_v only_a branch_n or_o improvement_n of_o the_o invention_n i_o have_v take_v notice_n of_o such_o as_o several_a way_n of_o repeat_a work_n etc._n etc._n or_o else_o they_o only_o collateral_o relate_v to_o watch-work_n as_o the_o invention_n of_o cutting-engine_n fusy-engine_n etc._n etc._n to_o treat_v of_o all_o these_o will_v swell_v my_o book_n far_o beyond_o its_o intend_a bound_n which_o i_o have_v already_o somewhat_o

inch_n round_o now_o to_o find_v the_o diameter_n it_o be_v but_o the_o reverse_n of_o the_o former_a rule_n viz._n as_o 22._o to_o 7_o so_o the_o circumference_n to_o the_o diameter_n in_o number_n thus_o for_o the_o forego_n pinion_v 22._o 7_o 63_o two_o the_o diameter_n then_o of_o the_o pinion_v must_v be_v two_o ten_o of_o a_o inch_n to_o fit_v the_o aforesaid_a wheel_n of_o 2_o inch_n diameter_n sect_n 3._o but_o because_o this_o way_n may_v be_v difficult_a to_o person_n unacquainted_a with_o decimal_n arithmetic_n which_o be_v very_o necessary_a here_o therefore_o i_o shall_v set_v down_o a_o way_n to_o do_v it_o mechanical_o have_v draw_v a_o circle_n divide_v it_o into_o as_o many_o part_n as_o you_o intend_v leaf_n in_o the_o pinion_v you_o will_v size_n from_o two_o of_o these_o point_n in_o the_o circle_n draw_v two_o line_n to_o the_o centre_n to_o which_o apply_v two_o of_o the_o tooth_n of_o your_o wheel_n guide_v they_o up_o and_o down_o until_o they_o touch_v at_o the_o same_o width_n on_o these_o radii_fw-la mark_v where_o this_o agreement_n be_v and_o a_o small_a circle_n draw_v there_o will_v represent_v the_o circumference_n of_o the_o pinion_v seek_v after_o chap._n v._o of_o pendulum_n sect_n 1._o among_o all_o know_a motion_n none_o measure_v time_n so_o regular_o as_o that_o of_o a_o pendulum_n but_o yet_o watch_v govern_v hereby_o be_v not_o so_o persect_v but_o that_o they_o be_v subject_a to_o the_o variation_n of_o weather_n foulness_n etc._n etc._n and_o the_o short_a and_o lesser_a the_o pendulum_n be_v so_o much_o the_o more_o subject_a such_o watch_n be_v to_o these_o annoyance_n there_o be_v two_o way_n to_o obviate_v these_o inconvenience_n in_o some_o measure_n one_o way_n be_v to_o make_v the_o pendulum_n long_o the_o bob_n heavy_a and_o to_o vibrate_v but_o a_o little_a way_n from_o its_o settlement_n which_o be_v now_o the_o most_o usual_a way_n in_o england_n the_o other_o be_v the_o contrivance_n of_o the_o ingenious_a mr._n hu●ens_n which_o be_v to_o make_v the_o upper_a part_n of_o the_o rod_n play_v between_o two_o cheek_n part_n of_o ●_o cycloid_v sir_n ionas_n moor_n say_v that_o af●er_o some_o time_n and_o charge_n of_o experiment_n 3_o he_o believe_v this_o latter_a to_o be_v the_o better_a way_n and_o mr_n hugens_n call_v it_o admirable_a if_o any_o desire_n to_o know_v how_o to_o make_v those_o cycloidal_a cheek_n fit_a to_o all_o pendulum_n i_o refer_v he_o to_o the_o aforesaid_a mr._n zulichem_n 12._o book_n because_o i_o can_v show_v how_o to_o do_v it_o without_o the_o trouble_n of_o figure_n and_o this_o way_n be_v much_o cease_v since_o the_o crown-wheel_n method_n to_o which_o it_o be_v chief_o proper_a be_v swallow_v up_o by_o the_o royal_a pendulum_n sect_n 2._o another_o thing_n to_o be_v remark_v in_o pendulum_n be_v that_o the_o long_o the_o vibration_n be_v the_o ●lower_n it_o be_v for_o if_o two_o isochrone_n pendulum_n do_v move_v one_o the_o quadrant_a of_o a_o circle_n the_o other_z not_o above_o 3_o or_o 4_o degree_n this_o latter_a shall_v move_v somewhat_o quick_a than_o the_o former_a which_o be_v the_o true_a reason_n why_o small_a crown-wheel_n pendulum_n go_v fast_o in_o cold_a weather_n or_o when_o soul_n than_o at_o other_o time_n yea_o in_o the_o best_a royal_a pendulum_n if_o you_o put_v a_o divide_a plate_n behind_o the_o ball_n and_o observe_v its_o swing_v you_o may_v perceive_v the_o vibration_n to_o be_v sometime_o short_a and_o that_o then_o the_o watch_n do_v gain_v too_o much_o somewhat_o also_o may_v perhaps_o be_v attribute_v to_o the_o rarity_n or_o density_n of_o the_o air_n which_o i_o have_v not_o yet_o have_v a_o opportunity_n of_o observe_v by_o compare_v with_o a_o good_a baroscope_n the_o various_a vibration_n of_o a_o good_a royal_a pendulum_n but_o mr._n boyl_n say_v that_o a_o pendulum_n move_v as_o long_o and_o as_o 26._o fast_o in_o a_o thick_a medium_n as_o a_o thin_a one_o contrary_a to_o the_o opinion_n of_o some_o naturalist_n who_o think_v the_o contrary_n his_o opinion_n be_v ground_v upon_o the_o experiment_n of_o a_o pendulum_n vibrate_v in_o his_o air-pump_n the_o air_n suck_v out_o and_o in_o the_o open_a air_n wherein_o be_v no_o alteration_n sect_n 3._o for_o the_o calculation_n of_o all_o pendulum_n it_o be_v necessary_a to_o fix_v upon_o some_o one_o to_o be_v as_o a_o standard_n to_o the_o rest_n i_o pitch_v upon_o a_o pend_n to_o vibrate_v second_o each_o stroke_n mr._n hugens_n lay_v down_o the_o length_n of_o a_o pend._n to_o swing_n second_o to_o be_v 3_o foot_n 3_o inch_n and_o 2_o ten_o of_o a_o inch_n according_a to_o sir_n j._n moor_n reduction_n of_o it_o to_o english_a measure_n ibid._n ibid._n the_o honourable_a lord_n bru●cker_n say_v sir_n ionas_n and_o mr._n rook_n find_v the_o length_n to_o be_v 39_o 25_o inch_n which_o a_o little_a exceed_v the_o other_o and_o may_v be_v be_v justen_v by_o mr._n hugens_n rule_n for_o the_o centre_n of_o oscillation_n for_o mounton_n pendulum_n that_o vibrate_v 132_o time_n in_o a_o minute_n it_o will_v be_v find_v likewise_o 8_o 1_o inch_n agree_v to_o 39_o 2_o inch_n english_a therefore_o for_o certain_a 39_o 2_o inch_n may_v be_v call_v the_o universal_a measure_n and_o rely_v on_o to_o be_v the_o near_a length_n of_o a_o pend._n that_o shall_v swing_n second_o each_o vibration_n but_o forasmuch_o as_o the_o different_a size_n of_o the_o ball_n will_v make_v some_o difference_n in_o the_o length_n of_o this_o standard_n pend._n therefore_o to_o make_v this_o pend._n a_o universal_a measure_n to_o fit_v all_o place_n and_o age_n you_o must_v measure_v from_o the_o point_n of_o suspension_n to_o the_o centre_n of_o oscillation_n which_o centre_n be_v find_v by_o this_o rule_n as_o the_o length_n of_o the_o ibid._n string_n from_o the_o point_n of_o suspension_n to_o the_o centre_n of_o a_o round_a ball_n be_v to_o the_o semidiameter_n of_o a_o round_a ball_n be_v to_o the_o semidiameter_n to_o a_o four_o number_n add_v two_o fifth_n of_o that_o four_o number_n to_o the_o former_a length_n and_o you_o have_v the_o centre_n of_o oscillation_n and_o thereby_o the_o true_a length_n of_o this_o standard_n pendulum_n if_o it_o be_v desire_v to_o fit_v a_o ball_n of_o a_o triangular_a quadrangular_a or_o any_o other_o form_n to_o this_o pend_n the_o centre_n of_o oscillation_n in_o any_o of_o these_o body_n may_v be_v find_v in_o the_o last_o cite_v book_n of_o mr_n zulichem_n if_o it_o be_v ask_v what_o be_v the_o meaning_n of_o the_o centre_n of_o oscillation_n the_o most_o intelligible_a answer_n although_o not_o perfect_o true_a be_v that_o it_o be_v that_o point_n of_o the_o ball_n at_o which_o if_o you_o imagine_v it_o divide_v into_o two_o part_n by_o a_o circle_n who_o centre_n be_v in_o the_o point_n of_o suspension_n the_o low_a part_n of_o the_o ball_n shall_v be_v of_o the_o same_o weight_n or_o near_o so_o with_o the_o upper_a §_o 4._o have_v thus_o fix_v a_o standard_n i_o shall_v next_o show_v how_o from_o thence_o to_o find_v the_o vibration_n or_o length_n of_o all_o other_o pendulum_n which_o be_v do_v by_o this_o rule_n ib●_n the_o square_n of_o the_o vibration_n bear_v the_o same_o proportion_n to_o each_o other_o as_o their_o lengthy_a do_v and_o so_o contrary_a wise_a wherefore_o to_o find_v the_o length_n of_o a_o pend_n say_v as_o the_o square_n of_o the_o vibration_n give_v to_o the_o square_n of_o 60_o the_o standard_n so_o be_v the_o length_n of_o the_o standard_n viz._n 39_o 2_o to_o the_o length_n of_o the_o pend._n seek_v if_o by_o the_o length_n you_o will_v find_v the_o vibration_n it_o be_v the_o reverse_a of_o the_o last_o rule_n viz._n as_o the_o length_n propose_v to_o the_o standard_n 39_o 2_o so_o be_v the_o square_a of_o 60_o the_o vibration_n of_o the_o standard_n to_o the_o vibration_n seek_v suppose_v for_o example_n you_o will_v know_v what_o length_n a_o pend._n be_v that_o vibrate_v 153_o stroke_n in_o a_o minute_n the_o square_a of_o 153_o i._n e._n 153_o time_n 153_o be_v 23409._o say_v 23409._o 3600_o 39_o 2._o 6._o a_o pend._n then_o that_o vibrate_v 153_o in_o a_o minute_n be_v about_o 6_o inch_n long_o on_o the_o other_o hand_n if_o you_o will_v know_v how_o many_o stroke_v a_o pend._n of_o 6_o inch_n have_v in_o a_o minute_n say_v 6._o 39_o 2_o 3600._o 23520._o the_o square_a root_n whereof_o be_v 153_o and_o somewhat_o more_o note_v because_o 141120_o be_v always_o the_o product_n of_o the_o two_o middle_a term_n multiply_v together_o therefore_o you_o need_v only_o to_o divide_v this_o number_n by_o the_o square_n of_o the_o vibration_n it_o give_v the_o length_n seek_v by_o the_o length_n it_o give_v the_o square_a of_o the_o vibration_n if_o you_o