Selected quad for the lemma: cause_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
cause_n	bring_v	great_a	part_n	1,570	5	3.8915	3	false

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
B01304	A brief (yet full) account of the doctrine of vulgar and decimal fractions, with a specimen on their demonstrations by William Alingham, teacher of the mathematicks.		1698 (1698)	Wing A1187C; ESTC R172148	20,206	80

part_n so_o that_o the_o unite_v will_v then_o be_v divide_v into_o 100_o equal_a part_n and_o if_o again_o we_o divide_v each_o of_o those_o hundred_o equal_a part_n into_o ten_o other_o equal_a part_n the_o unite_v or_o integer_fw-la will_v be_v divide_v into_o 1000_o equal_a part_n and_o so_o by_o decimate_a the_o first_o and_o subdecimate_a the_o second_o we_o proceed_v ad_fw-la infinitum_fw-la now_o because_o all_o the_o denominator_n of_o decimal_a fraction_n differ_v only_o in_o the_o number_n of_o place_n and_o not_o in_o the_o figure_n they_o be_v always_o a_o unite_v with_o cipher_n they_o may_v be_v express_v without_o their_o denominator_n with_o a_o point_n before_o they_o as_o 6_o 6_o 10_o be_v thus_o express_v .6_o and_o 54_o 54_o 100_o thus_o .54_o also_o 27_o 27_o 1000_o thus_o .027_o and_o observe_v that_o this_o point_n distinguish_v they_o from_o whole_a number_n hence_o the_o denominator_fw-la of_o a_o decimal_n fraction_n be_v easy_o know_v by_o the_o place_n of_o the_o numerator_n the_o denominator_fw-la be_v always_o one_o place_n more_o as_o .6_o have_v 10_o for_o its_o denominator_fw-la and_o .54_o have_v 100_o and_o .027_o have_v 1000_o for_o its_o denominator_fw-la understand_v the_o like_a of_o any_o other_o the_o order_n of_o place_n in_o decimal_n be_v from_o left_a to_o right_v and_o therefore_o contrary_a to_o the_o order_n of_o place_n in_o a_o whole_a number_n which_o be_v from_o right_a to_o leave_v as_o in_o this_o decimal_n .548_o here_o 5_o be_v in_o the_o first_o place_n next_o the_o left_a hand_n and_o signify_v so_o many_o ten_o part_n of_o a_o unite_v and_o be_v therefore_o call_v prime_n the_o 4_o which_o be_v in_o the_o second_o place_n signify_v so_o many_o hundred_o part_n of_o a_o unite_v and_o be_v call_v second_o the_o figure_n 8_o which_o possess_v the_o three_o place_n from_o the_o left_a hand_n denote_v so_o many_o thousand_o part_n of_o a_o unite_v or_o integer_fw-la and_o be_v call_v three_o and_o so_o on_o as_o in_o the_o follow_a table_n the_o notation_n table_n for_o decimal_n prime_n 3_o ten_o part_n of_o unity_n second_o 5_o hundr_n part_n three_o 7_o thous_z part_n fourths_o 9_o x_o thous_z part_n fifths_o 8_o c_o thous_z part_n sixth_n 4_o mill._n part_v this_o table_n consist_v only_o of_o a_o decimal_n fraction_n against_o which_o above_o be_v set_v the_o value_n of_o each_o place_n and_o below_o its_o name_n from_o a_o little_a consideration_n of_o what_o have_v be_v say_v it_o be_v evident_a that_o cipher_n prefix_v on_o the_o right_a hand_n of_o the_o numerator_n of_o a_o decimal_n fraction_n do_v neither_o increase_v nor_o lessen_v its_o value_n for_o .2_o be_v of_o the_o same_o value_n with_o .20_o or_o .200_o etc._n etc._n and_o therefore_o it_o be_v very_o easy_a reduce_v decimal_n fraction_n to_o a_o common_a denominator_fw-la for_o it_o be_v but_o set_v cipher_n on_o the_o right_a hand_n of_o the_o numerator_n as_o suppose_v .3_o and_o .84_o and_o .476_o and_o .2356_o be_v decimal_a fraction_n and_o it_o be_v require_v to_o reduce_v they_o to_o one_o denominator_fw-la here_o i_o consider_v that_o the_o denominator_fw-la of_o the_o great_a decimal_n give_v be_v 10000_o i_o therefore_o add_v so_o many_o cipher_n to_o each_o of_o the_o numerator_n that_o will_v make_v each_o of_o their_o denominator_n to_o consist_v of_o five_o place_n so_o that_o the_o above_o propose_v decimal_n when_o reduce_v stand_v thus_o .3000_o and_o .8400_o and_o .4760_o and_o .2356_o i_o have_v be_v as_o clear_a as_o possible_a in_o explain_v the_o notation_n of_o these_o number_n because_o of_o the_o great_a facility_n they_o bring_v with_o their_o practice_n in_o several_a operation_n not_o only_o in_o arithmetic_n but_o in_o most_o other_o part_n of_o the_o mathematics_n for_o have_v our_o first_o institution_n of_o divide_v our_o money_n weight_n measure_n etc._n etc._n be_v decimal_o we_o have_v never_o be_v trouble_v with_o so_o many_o fraction_n which_o cause_n such_o great_a tediousness_n in_o several_a operation_n and_o indeed_o the_o art_n of_o arithmetic_n will_v be_v teach_v with_o much_o more_o ease_n and_o expedition_n than_o now_o it_o be_v in_o case_n such_o a_o reformation_n shall_v ever_o be_v bring_v to_o pass_v reduction_n of_o decimal_n what_o be_v here_o to_o be_v do_v be_v no_o more_o than_o what_o be_v show_v in_o reduction_n the_o 5_o of_o vulgar_a fraction_n only_o here_o i_o shall_v more_o large_o comment_n upon_o what_o i_o there_o but_o hint_v and_o show_v in_o the_o first_o place_n how_o to_o reduce_v a_o vulgar_a fraction_n to_o a_o decimal_n and_o then_o how_o to_o find_v the_o value_n of_o any_o decimal_n in_o the_o know_a part_n of_o coin_n weight_n time_n etc._n etc._n and_o that_o with_o as_o much_o brevity_n and_o clearness_n as_o i_o can_v to_o reduce_v a_o vulgar_a fraction_n to_o a_o decimal_n the_o proportion_n for_o reduce_v a_o vulgar_a fraction_n to_o a_o decimal_n be_v as_o the_o denominator_fw-la of_o the_o vulgar_a fraction_n to_o its_o numerator_n so_o be_v 10_o 100_o 1000_o etc._n etc._n or_o any_o assign_v denominator_fw-la to_o its_o numerator_n that_o be_v to_o the_o decimal_n require_v exam._n 1_o suppose_v it_o be_v require_v to_o reduce_v ¾_n to_o a_o decimal_n fraction_n the_o operation_n be_v as_o follow_v so_o that_o .7500_o or_o .75_o for_o cipher_n on_o the_o right_a hand_n a_o decimal_n fraction_n neither_o increase_v nor_o diminish_v its_o value_n be_v the_o decimal_n equivalent_a to_o ¾_n note_n from_o the_o precede_a proportion_n it_o be_v evident_a that_o if_o to_o the_o numerator_n of_o any_o vulgar_a fraction_n you_o annex_v so_o many_o cipher_n as_o you_o will_v have_v your_o decimal_n to_o consist_v of_o place_n and_o divide_v by_o the_o denominator_fw-la the_o quote_v give_v the_o decimal_n require_v exam._n 2._o reduce_v 15_o 15_o 19_o to_o a_o decimal_n of_o five_o place_n to_z 15_o the_o numerator_n of_o the_o give_v vulgar_a fraction_n i_o annex_v five_o cipher_n it_o make_v 1500000_o this_o i_o divide_v by_o 19_o the_o denominator_fw-la the_o quote_v be_v the_o decimal_n require_v see_v the_o follow_a operation_n so_o that_o the_o decimal_n equal_a to_o the_o give_v vulgar_a fraction_n be_v .78947_o which_o because_o of_o the_o remainder_n be_v not_o exact_o the_o truth_n yet_o it_o be_v so_o near_o that_o it_o want_v not_o 1_o 1_o 100000_o part_n of_o a_o unite_v of_o the_o truth_n and_o if_o you_o proceed_v far_o to_o make_v the_o decimal_n consist_v of_o six_o place_n it_o will_v be_v .789473_o and_o then_o it_o will_v not_o want_v 1_o 1_o 1000000_o part_n of_o a_o unite_v of_o the_o truth_n for_o if_o the_o decimal_n be_v make_v .789474_o it_o will_v exceed_v the_o true_a value_n and_o thus_o by_o increase_v the_o number_n of_o place_n in_o the_o decimal_n you_o may_v at_o last_o come_v infinite_o near_a though_o never_o to_o the_o truth_n itself_o exam._n 3_o reduce_v 1_o 1_o 32_o into_o a_o decimal_n of_o five_o place_n here_o because_o the_o decimal_n be_v require_v to_o five_o place_n i_o add_v five_o cipher_n to_o 1_o the_o numerator_n of_o the_o give_v fraction_n and_o then_o divide_v by_o 32_o the_o denominator_fw-la the_o quote_v give_v 3125_o for_o the_o decimal_n seek_v but_o here_o note_v that_o because_o i_o annex_v five_o cipher_n to_o 1_o the_o give_v numerator_n and_o there_o arise_v but_o four_o figure_n in_o the_o quote_v i_o must_v supply_v such_o defect_n by_o prefix_v as_o many_o cipher_n on_o the_o left_a hand_n of_o the_o first_o figure_n in_o the_o quote_v as_o there_o want_v place_n as_o in_o the_o precede_a example_n where_o the_o quote_v consist_v but_o of_o four_o figure_n or_o place_n here_o i_o annex_v a_o cypher_n on_o the_o left_a hand_n of_o 3_o the_o first_o figure_n in_o the_o quote_v and_o then_o it_o become_v .03125_o which_o be_v the_o true_a decimal_n require_v to_o reduce_v the_o know_v part_n of_o money_n weight_n time_n etc._n etc._n to_o a_o decimal_n fraction_n from_o what_o precede_v it_o be_v evident_a how_o the_o know_a part_n of_o money_n weight_n time_n etc._n etc._n may_v be_v turn_v into_o a_o decimal_n of_o the_o same_o value_n or_o infinite_o near_o it_o for_o if_o in_o money_n a_o pound_n sterling_n be_v a_o integer_fw-la whatsoever_o be_v less_o than_o a_o pound_n be_v either_o a_o part_n or_o part_n of_o the_o same_o and_o when_o you_o know_v what_o part_n or_o part_n thereof_o it_o be_v you_o may_v easy_o reduce_v it_o to_o a_o decimal_n of_o the_o same_o valuc_n from_o what_o be_v teach_v in_o the_o last_o exam._n what_o be_v the_o decimal_n of_o 9_o s._n that_o be_v reduce_v 9_o 9_o 20_o into_o a_o decimal_n consist_v of_o two_o place_n here_o work_v according_a to_o what_o have_v be_v before_o direct_v i_o find_v the_o decimal_n of_o