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book_n great_a part_n time_n 3,297 5 3.1639 3 true
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ID Title Author Corrected Date of Publication (TCP Date of Publication) STC Words Pages
A88112 Arithmetick: vulgar, decimal, instrumental, algebraical. In four parts: conteining I Vulgar arithmetick, both in whole numbers and fractions, in a most plain and easie method. II Decimal arithmetick, with the ground and reason thereof, illustrated by divers examples. III Instrumental arithmetick, exactly performing all questions of what nature soever in a decimal way, by scales, with much more ease and facility then can be effected, either by vulgar or decimal arithmetick, the work of reduction being wholly avoided. Nothing in this kind having been hitherto published by any. IV Algebraical arithmetick, conteining an abridgement of the precepts of that art, and the use thereof, illustrated by examples and questions of divers kinds. Whereunto is added the construction and use of several tables of interest and annuities, weights and measures, both of our own and other countries. / By William Leybourn. Leybourn, William, 1626-1716.; Billy, Jacques de, 1602-1679. 1660 (1660) Wing L1893; Thomason E1755_1; ESTC R209688 136,634 402

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the_o sum_n will_v be_v also_o 6._o and_o further_o whensoever_o the_o erronr_n be_v one_o +_o the_o other_o −_o though_o they_o be_v not_o equal_a yet_o than_o if_o the_o difference_n between_o the_o position_n be_v part_v into_o two_o part_n which_o be_v in_o proportion_n one_o to_o another_o as_o the_o two_o error_n be_v one_o to_o another_o respective_o then_o if_o the_o first_o part_n be_v take_v from_o the_o first_o position_n if_o that_o be_v the_o great_a or_o add_v to_o it_o if_o it_o be_v the_o less_o the_o same_o number_n require_v be_v thereby_o have_v as_o let_v the_o last_o question_n be_v resume_v and_o let_v the_o first_o position_n for_o a_o be_v 15_o then_o the_o first_o error_n will_v be_v −_o 18_o then_o let_v the_o second_o position_n be_v 3_o and_o so_o the_o second_o error_n will_v be_v +6_o and_o the_o difference_n of_o position_n be_v 12_o which_o divide_v into_o two_o part_n 9_o and_o 3_o which_o have_v that_o proportion_n one_o to_o another_o as_o have_v 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make_v at_o london_n of_o avoirdupois_n weight_n .82_o lb._n one_o pound_n weight_n in_o venetia_n subtle_a make_v at_o london_n of_o avoirdupois_n weight_n .64_o lb._n one_o pound_n weight_n in_o venetia_n gross_a make_v at_o london_n of_o avoirdupois_n weight_n 1.06_o lb._n one_o pound_n weight_n in_o vienna_n make_v at_o london_n of_o avoirdupois_n weight_n 1.23_o lb._n the_o use_n of_o the_o forego_n table_n in_o 7652_o li._n weight_n at_o mirandola_n how_o many_o pound_n weight_n at_o avoirdupois_n look_v in_o the_o table_n for_o mirandola_n and_o right_a against_o it_o you_o shall_v find_v .75_o which_o show_v that_o one_o pound_n avoirdupois_n be_v equal_a to_o the_o 75_o or_o ¾_n of_o a_o pound_n at_o mirandola_n wherefore_o say_v by_o the_o rule_n of_o three_o if_o 1_o l._n at_o mirandola_n give_v .75_o or_o ¾_n of_o a_o pound_n avoirdupois_n what_o shall_v 7652_o l._n of_o mirandola_n give_v answer_v 5739_o as_o by_o the_o operation_n do_v appear_v a_o table_n reduce_v english_a ell_n to_o the_o measure_n of_o divers_a foreign_a city_n and_o remarkable_a place_n one_o ell_n at_o london_n make_v at_o amsterdam_n 1.6949_o ell_n one_o ell_n at_o london_n make_v at_o antwerp_n 1.6666_o ell_n one_o ell_n at_o london_n make_v at_o bridge_n 1.64_o ell_n one_o ell_n at_o london_n make_v at_o arras_n 1.65_o ell_n one_o ell_n at_o london_n make_v at_o norimberg_n 1.74_o ell_n one_o ell_n at_o london_n make_v at_o colen_n 2.08_o ell_n one_o ell_n at_o london_n make_v at_o lisle_n 1.66_o ell_n one_o ell_n at_o london_n make_v at_o mastrich_n 1.57_o ell_n one_o ell_n at_o london_n make_v at_o frankford_n 2.0866_o ell_n one_o ell_n at_o london_n make_v at_o danzig_n 1.3833_o ell_n one_o ell_n at_o london_n make_v at_o vienna_n 1.45_o auln_n one_o ell_n at_o london_n make_v at_o paris_n .95_o auln_n one_o ell_n at_o london_n make_v at_o rovan_n 1.03_o aulns_n one_o ell_n at_o london_n make_v at_o lion_n 1.0166_o auln_n one_o ell_n at_o london_n make_v at_o 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first_o column_n of_o this_o table_n have_v young_a at_o the_o top_n thereof_o beginning_n at_o 1_o and_o so_o proceed_v to_o 30_o signify_v year_n and_o the_o number_n in_o the_o next_o column_n answer_v thereunto_o do_v show_v what_o one_o pound_n be_v worth_a be_v forbear_v any_o number_n of_o year_n under_o 31_o which_o table_n be_v make_v according_a to_o this_o proportion_n as_o 100_o to_o 106_o so_o be_v 1_o to_o 1.06_o and_o again_o as_o 100_o 106_o 106_o 1.1236_o and_o three_o as_o 100_o 106_o 1.1236_o 1.19101_o et_fw-la sic_fw-la ad_fw-la infinitum_fw-la the_o use_n of_o this_o table_n what_o 136_o l._n 15_o s._n 6_o d._n amount_v unto_o be_v forbear_v 20_o year_n after_o the_o rate_n of_o 6_o per_fw-la centum_fw-la interest_n upon_o interest_n look_v in_o the_o table_n for_o 20_o year_n and_o right_a against_o in_o the_o broad_a column_n you_o shall_v find_v 2.20713_o which_o show_v that_o one_o pound_n be_v forbear_v 20_o year_n will_v be_v augment_v to_o 3.20713_o then_o if_o you_o reduce_v your_o 136_o li._n 15_o s._n 6_o d._n into_o a_o decimal_n either_o by_o the_o table_n in_o the_o second_o part_n or_o by_o the_o scale_n in_o the_o three_o part_n of_o this_o book_n you_o shall_v find_v it_o to_o be_v 136.775_o wherefore_o say_v by_o the_o rule_n of_o three_o direct_v if_o one_o pound_n be_v forbear_v 20_o year_n will_v be_v augment_v to_o 3.20713_o to_o how_o much_o will_v 136.775_o li._n be_v augment_v to_o in_o the_o same_o time_n answer_v to_o 438_o li._n 13_o s._n 1_o d._n 1_o q._n as_o by_o the_o operation_n follow_v do_v appear_v or_o 438_o li._n 13_o s._n 1_o d._n 1_o q._n the_o second_o table_n show_v what_o one_o pound_n annuity_n will_v amount_v unto_o be_v forbear_v any_o