Selected quad for the lemma: book_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
book_n	author_n	concern_v	write_v	1,827	5	5.3231	4	false

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A60472	Horological dialogves in three parts shewing the nature, use, and right managing of clocks and watches : with an appendix containing Mr. Ovghtred's method for calculating of numbers : the whole being a work very necessary for all that make use of these kind of movements / by J. S. ...	Smith, John, fl. 1673-1680.; Oughtred, William, 1575-1660. Appendix wherein is contained a method of calculating all numbers for watches.	1675 (1675)	Wing S4105; ESTC R10982	35,934	138

benefit_n by_o it_o the_o method_n itself_o indeed_o as_o it_o be_v by_o he_o deliver_v relate_v only_o to_o watch_n which_o notwithstanding_o may_v be_v as_o apt_o apply_v to_o any_o other_o number_n whatsoever_o require_v in_o the_o art_n of_o clockwork_n as_o every_o ingenuous_a man_n will_v soon_o find_v i_o have_v only_o one_o word_n more_o and_o that_o be_v that_o whosoever_o have_v a_o desire_n to_o attain_v this_o analletical_a way_n of_o calculation_n must_v consult_v that_o book_n entitle_v clavis_fw-la mathematica_fw-la write_v by_o the_o same_o author_n wherein_o they_o may_v be_v full_o instruct_v concern_v the_o understanding_n of_o it_o thou_o j._n s._n appendix_n i._o of_o movement_n or_o automata_n 1._o in_o every_o movement_n some_o of_o the_o wheel_n and_o pinion_n effect_v or_o incite_v the_o motion_n and_o some_o other_o do_v determinate_a or_o spectisicate_a the_o same_o 2._o they_o which_o effect_v the_o motion_n be_v first_o the_o great_a wheel_n a_o with_o the_o fuzey_n which_o move_v ●_o the_o pinion_n of_o the_o second_o wheel_n e_z which_o again_o move_v ay_o the_o pinion_n of_o the_o three_o or_o cantrate_a wheel_n i_o which_o again_o move_v o_o the_o pinion_n of_o the_o crown_n wheel_n o_o which_o last_o move_v the_o balance_n 3._o they_o which_o spectificate_n the_o motion_n be_v the_o pinion_n a_o fix_v to_o the_o arbour_n of_o the_o great_a wheel_n move_v b_o the_o dial_n wheel_n have_v its_o revolution_n in_o h_n hour_n or_o part_n of_o time_n together_o with_o such_o intermediate_v wheel_n and_o pinion_n as_o shall_v be_v find_v necessary_a 4._o if_o the_o number_n of_o any_o be_v divide_v by_o the_o number_n of_o another_o wheel_n move_v it_o or_o move_v by_o it_o the_o quotient_n shall_v show_v how_o many_o revolution_n of_o the_o divisor_n be_v to_o one_o turn_v of_o the_o dividend_n and_o how_o much_o of_o the_o dividend_n go_v in_o one_o turn_n of_o the_o divisor_n as_o if_o it_o shall_v be_v a_o =_o γ_n e_o that_o be_v one_o turn_v of_o a_o be_v equal_a in_o time_n to_o 2_o turn_v of_o e_o and_o a_o 2_o =_o e_o that_o be_v ½_o part_v of_o a_o be_v equal_a to_o one_o turn_n of_o e_o again_n if_o b_o α_n =_o β_n it_o shall_v be_v b_o =_o βα_n that_o be_v one_o turn_v of_o b_o be_v equal_a to_o β_n turn_v of_o a_o and_o b_o 3_o =_o a_o that_o be_v 1_o 3_o of_o b_o be_v equal_a in_o time_n to_o one_o turn_n of_o a_o &_o 5._o wherefore_o in_o every_o motion_n the_o number_n of_o the_o two_o wheel_n do_v make_v a_o ratio_fw-la or_o fraction_n whereof_o the_o motrix_fw-la be_v the_o nrator_n in_o those_o that_o effect_n the_o motion_n as_o a_o e_z =_o 2._o e_o 1_o =_o 8._o i_o o_o =_o 5._o but_o in_o those_o that_o specificate_n the_o motion_n it_o be_v the_o denominator_fw-la as_o b_o α_n =_o β_n etc._n etc._n 6._o a_o view_n of_o the_o wheel_n and_o pinion_n 7._o a_o =_o ●_o b_o =_o ●8_o ●_o =_o 285_o o_o which_o be_v so_o many_o turn_n of_o o_o if_o it_o be_v take_v for_o the_o wheel_n or_o so_o many_o notch_n of_o the_o wheel_n if_o it_o be_v take_v for_o the_o number_n which_o be_v also_o to_o be_v understand_v of_o the_o rest_n of_o the_o letter_n ●i●_n e_o =_o a_o 2_o =_o 8j_fw-la =_o 85,0_o i_o =_o a_o 28_o =_o e_o 8_o =_o 5,0_o o_o =_o a_o 285_o =_o e_o 85_o =_o i_o ●_o 8._o 9_o 285_o o_o =_o d_o by_o which_o note_n i_o signify_v the_o number_n of_o the_o notch_n of_o the_o crown_n wheel_n o_o go_v in_o one_o turn_n of_o a_o by_o number_n 7._o wherefore_o 10._o which_o be_v the_o number_n of_o notch_n of_o the_o crown_n wheel_n o_o be_v go_v in_o one_o hour_n or_o 1_o h_z for_o by_o number_n 8._o h_o β285_n o_o ∷_o 1._o 11._o out_o the_o former_a proposition_n these_o follow_v viz._n 12._o for_o if_o in_o h_n hour_n be_v β_n turn_v of_o ●_o or_o β_n d_o nothe_v go_v ꝑ10_n then_o in_o one_o hour_n β_n h_o turn_v of_o a_o or_o nothe_v go_v 8_o then_o also_o in_o c_o hour_n which_o be_v the_o continuance_n of_o the_o watch_n go_v be_v go_v t_n turn_v of_o a_o or_o turn_v about_o the_o fuzey_n 13_o wherefore_o the_o lesser_a β_n be_v take_v the_o long_a shall_v c_o be_v at_o a_o equal_a t_n ii_o of_o find_v out_o fi●_n number_n for_o the_o wheel_n and_o pinion_n 14._o an●_n two_o fraction_n who_o term_n be_v proportion●●_n perform_v the_o same_o motion_n 9_o 1_o or_o 36_o 4_o or_o 4●_n ●_o the_o low_o of_o which_o be_v for_o the_o pinion_n and_o the_o upper_a for_o the_o wheel_n 15._o the_o same_o motion_n may_v be_v perform_v either_o by_o one_o wheel_n and_o one_o pinion_n or_o else_o by_o many_o wheel_n and_o many_o pinion_n so_o that_o the_o product_n of_o all_o the_o wheel_n be_v to_o the_o product_n of_o all_o the_o pinion_n as_o that_o one_o wheel_n be_v to_o that_o one_o pinion_n as_o in_o this_o example_n 1440_o 28_o =_o x36_n 2●x8_n 1x●_n 1_o or_o 16_o 4x8_n 7x50_n 10_o neither_o be_v it_o any_o matter_n in_o what_o order_n the_o wheel_n and_o pinion_n be_v set_v or_o which_o pinion_n stand_v under_o every_o wheel_n 16._o and_o these_o two_o factor_n 36x8_n be_v give_v may_v be_v manifest_o vary_v by_o this_o rule_n if_o two_o factor_n give_v be_v divide_v by_o any_o two_o other_o number_n which_o will_v measure_v they_o and_o the_o quotient_n be_v multiply_v by_o the_o altern_a division_n the_o product_n of_o these_o two_o last_o number_n find_v shall_v be_v equal_a to_o the_o product_n of_o the_o two_o fractor_n give_v thus_o for_o 36x8_n you_o shall_v have_v find_v 9_o  _fw-fr 8_o 36_o x_o 8_o  _fw-fr 4_o  _fw-fr 1_o  _fw-fr 32_o  _fw-fr 9_o 32_o x_o 9_o for_o 1x9_n 1x8_n ∷_o 4x9_n 4x8_n 17._o if_o fit_a proportional_a number_n can_v be_v have_v by_o any_o of_o these_o three_o last_o rule_n you_o may_v seek_v some_o ratio_fw-la as_o near_o unto_o it_o as_o possible_a in_o this_o manner_n say_v as_o one_o of_o the_o two_o number_n give_v be_v to_o the_o other_o so_o be_v 360_o to_o a_o four_o divide_v that_o four_o number_n as_o also_o 360_o by_o 4._o 5._o 6._o 8._o 9_o 10._o 12._o 15_o or_o by_o which_o of_o they_o that_o bring_v a_o quotient_a near_o to_o a_o integer_fw-la as_o if_o two_o number_n give_v be_v 147_o 170_o which_o be_v too_o great_a to_o be_v cut_v in_o small_a wheel_n say_v therefore_o 170.147_o ∷_o 360.311_o 147.170_o ∷_o 360.416_o wherefore_o for_o the_o two_o number_n 147_o and_o 170_o you_o may_v take_v 52_o and_o 60_o or_o 39_o and_o 45_o or_o 45_o and_o 52_o etc._n etc._n 18._o if_o two_o wheel_n of_o a_o motion_n touch_v without_o they_o move_v contrariwise_o but_o if_o they_o touch_v within_o they_o move_v the_o same_o way_n 19_o in_o lesser_a watch_n d_o must_v be_v at_o least_o 8000_o but_o in_o great_a d_o may_v be_v 4000_o for_o in_o lesser_a piece_n a_o swift_a train_n be_v more_o commendable_a and_o in_o great_a piece_n a_o slow_a 20._o to_o give_v number_n to_o a_o watch_n of_o a_o swift_a train_n about_o 10000_o for_o d_o you_o must_v have_v t_o 12._o and_o c_o 16_o hour_n and_o o_o 17._o say_v by_o number_n 12_o t._n c_o ∷_o d._n d._n that_o be_v 12._o 16_o ∷_o 10000_o 13333_o =_o d._n and_o because_o by_o number_n 9_o d._n =_o 185_o o._n 17_o 13333_o 784_o =_o 285._o which_o be_v three_o quotient_n for_o find_v the_o three_o pinion_n seek_v therefore_o three_o number_n which_o be_v multiply_v together_o produce_v 784_o very_o near_o let_v they_o be_v 11._o 9_o 8●_n the_o product_n whereof_o be_v 792_o =_o 285._o correct_v they_o 792x17_n =_o 13464_o =_o d._n correct_a and_o say_v t._n c_o ∷_o d._n d._n that_o be_v 16_o 12_o ∷_o 13464._o 10098_o =_o d._n correct_v also_o say_v c._n t_o ∷_o h._n β_n α_n by_o number_n 12_o that_o be_v 16._o 12_o ∷_o 12._o then_o by_o the_o 3_o quotient_n assume_v 11._o 9_o 8._o find_v out_o the_o 3_o wheel_n a._n 55_o e._n 45_o j._n 40_o and_o the_o 3_o pinion_n ●_o 5_o i_o 5_o o._n 5_o as_o be_v do_v on_o the_o side_n d_o 13464_o d_o 10098_o t_n 12._o 6._o 16_o 21._o to_o find_v how_o long_o this_o watch_n before_o find_v may_v be_v make_v to_o go_v by_o slacken_a d_o to_o 8000_o by_o number_n 12_o say_v d._n d_o ∷_o h._n b_o α_n ∷_o c.t._n that_o be_v again_o ●6_n 5_o ●2_n ∷_o t_o 12._o c_o 20_o it_o may_v therefore_o be_v make_v to_o go_v 20_o hour_n by_o alter_a 〈◊〉_d 36_o and_o α_n to_o 5._o 22._o to_o give_v number_n for_o a_o watch_n of_o about_o 5000_o for_o d_o that_o may_v have_v t_o 12_o c_z 170_o and_o o_o 17_o this_o work_n be_v as_o in_o 20_o