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Word A Word B Word C Word D Occurrence Frequency Band MI MI Band Prominent
money_n penny_n shilling_n sterling_a 2,121 5 14.0038 5 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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be_v two_o shilling_n fer●_n which_o shall_v be_v two_o shilling_n exact_a but_o it_o want_v somewhat_o viz._n the_o 1000_o part_n of_o a_o farthing_n which_o be_v insensible_a for_o if_o by_o the_o forementioned_a rule_v you_o seek_v the_o value_n of_o the_o decimal_n fraction_n .0999_o you_o shall_v find_v it_o to_o be_v 1_o shilling_n 11_o penny_n 3_o farthing_n and_o the_o 2_o 1000_o part_n of_o a_o farthing_n which_o you_o may_v call_v in_o all_o 2_o shilling_n for_o decimal_a number_n will_v seldom_o happen_v to_o give_v the_o exact_a value_n of_o fraction_n but_o will_v be_v either_o great_a or_o lesser_a than_o they_o ought_v to_o be_v but_o in_o such_o a_o sum_n as_o this_o be_v the_o thousand_o part_n of_o a_o farthing_n be_v not_o to_o be_v regard_v example_n 2._o let_v it_o be_v require_v to_o add_v together_o in_o a_o decimal_n way_n these_o sum_n follow_v viz._n 29_o li._n 18_o s._n 7_o d._n 3_o q._n 63_o li._n 11_o s._n 2_o d._n 1_o q._n 129_o li._n 4_o s._n 0_o d._n 2_o q._n and_o 3_o li_z 7_o s._n 10_o d._n 1_o q._n first_o for_o 29_o li._n 18_o s._n 7_o d._n 3_o q._n set_v down_o 29.93229_o second_o for_o 63_o li._n 11_o s._n 2_o d._n 1_o q._n set_v down_o 63.55937_o three_o for_o 129_o li._n 4_o s._n 2_o q._n set_v down_o 129.20208_o last_o for_o 3_o li._n 7_o s._n 10_o d._n 1_o q._n set_v down_o 3.39271_o as_o you_o see_v here_o down_o in_o the_o margin_n your_o decimal_a number_n thus_o place_v in_o order_n 29.93229_o 63.55937_o 129.20208_o 3.39371_o 226.08645_o add_v they_o together_o as_o if_o they_o be_v whole_a number_n and_o you_o shall_v find_v the_o sum_n of_o they_o to_o contain_v 226.08645_o now_o the_o 226_o which_o stand_v towards_o the_o left_a hand_n of_o the_o comma_n be_v 226_o pound_n and_o the_o other_o figure_n towards_o the_o right_a hand_n viz._n 08645_o be_v the_o fraction_n of_o a_o pound_n sterling_a which_o if_o you_o reduce_v by_o the_o forementioned_a proposition_n you_o shall_v find_v the_o value_n thereof_o to_o be_v 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this_o second_o part._n the_o end_n of_o the_o second_o part._n the_o three_o part_n contain_v instrumental_a arithmetic_n the_o arithmetic_n of_o which_o we_o now_o come_v to_o treat_v and_o which_o i_o call_v instrumental_a arithmetic_n be_v not_o any_o new_a kind_n of_o arithmetic_n but_o be_v indeed_o the_o same_o with_o decimal_n arithmetic_n before_o teach_v only_o whereas_o in_o decimal_a arithmetic_n there_o be_v certain_a table_n make_v of_o money_n weight_n and_o measure_n by_o help_n of_o which_o the_o decimal_n of_o any_o fraction_n of_o money_n weight_n or_o measure_n may_v be_v set_v down_o as_o it_o be_v in_o whole_a number_n here_o in_o this_o instrumental_a part_n we_o have_v contrive_v certain_a scale_n of_o money_n weight_n and_o measure_n equal_o divide_v into_o the_o several_a denomination_n into_o which_o the_o several_a weight_n and_o measure_n can_v be_v equal_o divide_v unto_o every_o of_o which_o scale_n there_o be_v join_v a_o scale_n of_o 100_o 1000_o or_o 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4_o decade_n or_o 8_o s._n and_o be_v the_o rest_n to_o the_o right_a hand_n be_v all_o cipher_n they_o signify_v neither_o penny_n nor_o farthing_n so_o be_v the_o total_a of_o this_o addition_n 103_o l._n 8_o s._n 0_o d._n that_o the_o manner_n of_o work_v may_v appear_v more_o plain_a i_o will_v give_v you_o another_o short_a example_n as_o difficult_a as_o i_o can_v invent_v which_o i_o perform_v by_o a_o scale_n of_o wood_n but_o of_o 8_o inch_n long_o let_v the_o sum_n to_o be_v add_v together_o be_v these_o follow_v li._n t._n d._n q_o 332_o 17_o 4_o 1_o 159_o 6_o 8_o 1_o 217_o 5_o 3_o 3_o 709_o 9_o 4_o 1_o first_o set_v down_o your_o several_a sum_n of_o pound_n one_o under_o another_o as_o before_o and_o draw_v a_o line_n by_o the_o side_n of_o they_o 332_o  _fw-fr 159_o  _fw-fr 217_o  _fw-fr and_o another_o under_o they_o so_o will_v they_o stand_v as_o here_o you_o see_v 1_o your_o sum_n of_o pound_n be_v thus_o orderly_o place_v and_o line_n draw_v repair_v to_o your_o scale_n and_o see_v your_o first_o number_n of_o shilling_n penny_n and_o farthing_n be_v 17_o s._n 4_o d._n 1_o q._n for_o your_o 17_o s._n set_v down_o 8_o decade_n which_o be_v 16_o s._n with_o a_o comma_n after_o it_o then_o will_v there_o rest_v to_o be_v set_v down_o 1_o s._n 4_o d._n 1_o q._n or_o 16_o d._n 1_o q._n which_o if_o you_o seek_v in_o your_o scale_n of_o money_n you_o shall_v find_v to_o stand_v against_o it_o in_o the_o scale_n of_o 1000_o this_o number_n 677_o which_o be_v the_o decimal_n of_o 1_o s._n 4_o d._n 1_o q._n 2_o your_o second_o number_n of_o shilling_n penny_n and_o farthing_n be_v 6_o s._n 8_o d._n 1_o q._n for_o your_o 6_o s._n set_v down_o 3_o decade_n which_o be_v 6_o s._n and_o then_o there_o will_v remain_v 8_o d._n 1_o q._n which_o if_o you_o seek_v in_o your_o scale_n of_o money_n you_o shall_v find_v to_o stand_v against_o it_o in_o the_o scale_n of_o 1000_o this_o number_n 344_o which_o be_v the_o decimal_n of_o 8_o d._n 1_o q._n 3_o your_o 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the_o downright_a line_n be_v 709_o pound_n and_o the_o figure_n 4_o which_o stand_v between_o the_o downright_a line_n and_o the_o comma_n be_v 4_o decade_n or_o 8_o s._n but_o because_o the_o first_o figure_n next_o after_o the_o comma_n be_v above_o 5_o viz._n 6_o you_o must_v add_v 1_o s._n to_o the_o 4_o decade_n make_v they_o 9_o s._n then_o will_v there_o remain_v 177_o wherefore_o if_o you_o look_v in_o the_o scale_n of_o 1000_o for_o 177_o you_o shall_v find_v against_o it_o in_o the_o scale_n of_o money_n 4_o d._n 1_o q._n so_o be_v the_o whole_a sum_n of_o this_o addition_n 709_o l._n 9_o s._n 4_o d._n 1_o q._n as_o by_o the_o precede_a work_n do_v appear_v ¶_o here_o note_n that_o when_o you_o have_v set_v down_o your_o 709_o l._n 4_o decade_n or_o 8_o s._n there_o remain_v beyond_o the_o comma_n 677_o which_o if_o you_o have_v seek_v in_o your_o scale_n of_o 1000_o you_o shall_v have_v find_v against_o it_o in_o the_o scale_n of_o money_n 15_o d._n 1_o q._n or_o 1_o s._n 4_o d._n 1_o q._n which_o be_v all_o one_o as_o before_o for_o it_o appear_v plain_o by_o the_o scale_n that_o 500_o in_o the_o line_n of_o 1000_o be_v equal_a to_o one_o shilling_n i_o may_v proceed_v far_o in_o give_v you_o example_n in_o weight_n and_o measure_n answerable_a to_o the_o scale_n but_o that_o will_v only_o make_v the_o reader_n spend_v his_o time_n to_o little_a purpose_n for_o be_v before_o acquaint_v with_o decimal_a arithmetic_n and_o as_o by_o this_o time_n i_o suppose_v he_o be_v with_o numeration_n upon_o the_o scale_n he_o can_v be_v deficient_a in_o the_o apply_v of_o the_o other_o scale_n of_o weight_n and_o measure_n to_o the_o same_o purpose_n for_o which_o they_o be_v contrive_v i_o have_v so_o large_o exemplify_v the_o use_n of_o the_o scale_n of_o money_n subtraction_n subtraction_n as_o have_v be_v before_o say_v be_v the_o take_v one_o or_o more_o small_a sum_n out_o of_o one_o great_a i_o shall_v only_o give_v you_o a_o example_n or_o two_o as_o i_o 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part_n of_o vulgar_a arithmetic_n but_o by_o the_o invention_n of_o the_o right_n honourable_a john_n lord_n nepeir_n baron_n of_o merciston_n they_o be_v both_o of_o they_o make_v very_o easy_a and_o more_o certain_a than_o in_o the_o ordinary_a way_n the_o memory_n not_o be_v charge_v at_o all_o but_o as_o in_o addition_n and_o subtraction_n what_o this_o artifice_n be_v be_v show_v by_o himself_o in_o his_o treatise_n of_o rabdologia_n as_o also_o in_o that_o of_o mr._n seth_n partridge_n and_o other_o and_o therefore_o it_o will_v not_o be_v necessary_a to_o make_v any_o large_a discourse_n of_o it_o now_o it_o will_v be_v sufficient_a here_o only_o to_o give_v you_o a_o description_n of_o they_o and_o how_o to_o use_v they_o these_o rod_n or_o bone_n be_v nothing_o else_o but_o the_o ordinary_a multiplication_n table_n common_o call_v pythagor_n as_o his_o table_n cut_v into_o piece_n with_o diagonal_a line_n between_o the_o figure_n of_o every_o product_n in_o single_a multiplication_n as_o by_o the_o figure_n follow_v it_o do_v appear_v a_o figure_n of_o the_o bone_n the_o bone_n be_v usual_o make_v of_o small_a piece_n of_o box_n contain_v in_o length_n about_o 1_o inch_n and_o 8_o 10_o of_o a_o inch_n and_o in_o breadth_n about_o 2_o 10_o of_o a_o inch_n and_o in_o thickness_n near_o 1_o 10_o of_o a_o inch_n one_o set_v of_o these_o bone_n consist_v of_o five_o piece_n of_o box_n and_o be_v graduate_v with_o diagonal_a line_n and_o figure_n as_o you_o see_v here_o in_o the_o figure_n of_o they_o on_o one_o of_o the_o five_o piece_n
to_o stand_v against_o 500_o in_o the_o scale_n of_o 1000_o which_o 500_o may_v be_v call_v 5_o only_o for_o the_o two_o cipher_n may_v be_v omit_v then_o set_v down_o your_o 24_o l._n and_o for_o your_o 7_o set_v down_o 3_o decade_n which_o be_v 6_o s._n and_o look_v in_o your_o scale_n for_o the_o decimal_n of_o 1_o s._n 9_o d._n which_o you_o shall_v find_v to_o be_v 875_o last_o set_v down_o your_o 183_o ell_n and_o for_o your_o half_a ell_n set_v down_o 5_o as_o before_o so_o will_v your_o number_n stand_v thus_o your_o number_n thus_o take_v out_o of_o your_o scale_n and_o place_v as_o here_o you_o see_v if_o you_o multiply_v the_o second_o and_o three_o together_o you_o shall_v find_v the_o product_n of_o that_o multiplication_n to_o be_v 4475.10625_o which_o divide_v by_o the_o first_o number_n 37.5_o give_v in_o the_o quotient_a 119.3361_o which_o be_v 119_o pound_n 3_o decade_n or_o 6_o shilling_n and_o 361_o which_o reduce_v by_o the_o scale_n give_v 8_o penny_n 2_o 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