Selected quad for the lemma: hand_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
hand_n	cost_v	shilling_n	sterling_a	30	3	16.3449	5	false

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A52256	The compleat arithmetician, or, The whole art of arithmetick, vulgar and decimal in a plain and easie method, suitable to the meanest capacity : in which the multiplication and division of numbers of several denominations, and the rule of alligation are more fully explained than in any treatise of this nature, yet extant / by J.N., Philomath.	Newton, John, 1622-1678.	1691 (1691)	Wing N1054; ESTC R4290	77,995	206

new_a fraction_n will_v be_v 84_o ●0_n as_o before_o 5_o example_n if_o 4¼_n of_o a_o yard_n of_o cloth_n in_o length_n be_v 1_o yard_n and_o half_a broad_a will_v make_v a_o cloak_n how_o much_o plush_n that_o be_v ¾_n of_o a_o yard_n in_o breadth_n will_v serve_v to_o line_v that_o cloak_n here_o the_o four_o term_v require_v must_v be_v great_a than_o the_o second_o term_n give_v and_o therefore_o the_o lesser_a extreme_a must_v be_v the_o divisor_n and_o the_o less_o extreme_a be_v in_o the_o three_o place_n plain_o show_v that_o this_o question_n do_v belong_v to_o the_o rule_n of_o three_o inverse_n and_o the_o number_n must_v stand_v as_o here_o you_o see_v breadth_n length_n breadth_n 1_o 1●_n 4¼_n ¾_n or_o 3_o ●_o 17_o 4_o ¾_n and_o ¾_n be_v the_o divisor_n 4_o be_v multiply_v first_o by_o 17_o and_o then_o by_o 3_o the_o last_o product_n be_v 204_o and_o 3_o be_v multiply_v by_o 4_o and_o by_o 2_o the_o last_o product_n be_v 24_o and_o so_o the_o new_a fraction_n or_o quotient_n seek_v be_v 204_o 24_o which_o be_v reduce_v be_v 8½_n yard_n 6._o example_n in_o decimal_a fraction_n if_o 7_o ounce_n 3_o penny_n weight_n and_o 12_o grain_n be_v worth_a 21l_o 11_n 6d_o what_o be_v the_o value_n of_o 1½_n ounce_n the_o decimal_n of_o 3_o penny_n weight_n be_v 0.15_o and_o the_o decimal_n of_o 12_o ounce_n be_v 0.025_o and_o the_o sum_n of_o these_o 2_o decimal_n be_v 0.515_o wherefore_o the_o first_o number_n in_o the_o rule_n of_o three_o be_v 7.175_o again_o the_o decimal_n of_o 10_n 6d_o be_v 0525_o wherefore_o the_o second_o number_n be_v 21.515_o and_o the_o three_o number_n be_v 1.5_o now_o to_o resolve_v this_o question_n the_o 3_o give_v number_n will_v stand_v thus_o 7.175_o −_o 21.525_o −_o 1.5_o last_o multiply_v the_o second_o by_o the_o three_o the_o product_n be_v 32.2875_o which_o be_v divide_v by_o 7.175_o the_o quotient_n be_v 4.5_o that_o be_v 4_o pound_n and_o ten_o shilling_n which_o be_v the_o price_n of_o a_o ounce_n and_o half_a of_o that_o gold_n chap._n xxiii_o of_o the_o rule_n of_o practice_n 1._o when_o the_o rule_n of_o three_o direct_a have_v 1_o or_o a_o integer_fw-la for_o the_o first_o term_n it_o be_v common_o call_v a_o rule_n of_o practice_n not_o only_o for_o the_o speedy_a but_o the_o practical_a resolution_n of_o such_o question_n for_o whereas_o other_o question_n belong_v to_o this_o rule_n do_v for_o the_o most_o part_n require_v multiplication_n and_o division_n these_o in_o the_o ordinary_a way_n be_v resolve_v by_o multiplication_n and_o whereas_o multiplication_n be_v general_o much_o easy_a than_o division_n these_o question_n be_v in_o a_o accustomary_a or_o practical_a way_n for_o the_o most_o part_n perform_v by_o division_n and_o yet_o do_v with_o more_o ease_n than_o they_o can_v be_v by_o multiplication_n nay_o where_o multiplication_n and_o division_n be_v both_o use_v the_o resolution_n be_v yet_o easy_a than_o it_o be_v or_o can_v be_v by_o multiplication_n only_o 2._o the_o question_n to_o be_v resolve_v by_o these_o abbreviation_n of_o the_o rule_n of_o three_o or_o practical_a operation_n do_v for_o the_o most_o part_n come_v under_o one_o or_o other_o of_o these_o five_o case_n the_o price_n of_o 1_o or_o a_o integer_fw-la do_v consist_v either_o 1._o of_o a_o certain_a number_n of_o shilling_n under_o twenty_o 2._o of_o a_o certain_a number_n of_o pound_n and_o shilling_n 3._o of_o a_o certain_a number_n of_o penny_n under_o twelve_o 4._o of_o a_o certain_a number_n of_o shilling_n and_o penny_n 5._o of_o a_o certain_a number_n of_o pound_n shilling_n and_o penny_n with_o the_o part_n of_o a_o penny_n 3._o now_o for_o the_o resolution_n of_o such_o question_n which_o may_v or_o do_v fall_v under_o any_o of_o these_o case_n it_o be_v necessary_a that_o the_o aliquot_fw-la part_n of_o a_o pound_n and_o shilling_n be_v first_o know_v that_o be_v how_o often_o the_o shilling_n of_o penny_n which_o be_v the_o give_v price_n of_o one_o integer_fw-la be_v contain_v in_o a_o pound_n or_o shilling_n without_o leave_v any_o remainder_n thus_o 4_o shilling_n be_v a_o aliquot_fw-la part_n of_o a_o pound_n or_o 20_o shilling_n because_o 4_o may_v be_v take_v 5_o time_n in_o 20_o without_o either_o excess_n or_o defect_n and_o 3_o be_v a_o aliquot_fw-la part_n of_o a_o shilling_n or_o 12_o penny_n for_o 4_o time_n 3_o do_v make_v 12_o but_o 7_o be_v not_o the_o aliquot_fw-la part_n of_o 20_o for_o two_o time_n 7_o be_v less_o than_o 20_o and_o 3_o time_n 7_o be_v more_o in_o like_a manner_n 5_o be_v not_o the_o aliquot_fw-la part_n of_o 12_o for_o 2_o time_n 5_o be_v but_o 10_o and_o 3_o time_n 5_o be_v 15_o the_o one_o want_n of_o 12_o and_o the_o other_o exceed_v it_o but_o yet_o any_o number_n of_o shilling_n under_o 20_o may_v be_v reduce_v to_o the_o aliquot_fw-la part_n of_o a_o pound_n and_o any_o number_n of_o penny_n under_o 12_o may_v be_v reduce_v to_o the_o aliquot_fw-la part_n of_o a_o shilling_n thus_o 7_o shilling_n be_v one_o five_o more_o 3_o twenty_n of_o a_o pound_n and_o 5_o penny_n be_v one_o three_o more_o one_o twelve_v of_o a_o shilling_n or_o one_o four_o more_z one_o six_z such_o aliquot_fw-la part_n of_o a_o pound_n or_o shilling_n as_o be_v most_o useful_a in_o the_o resolution_n of_o question_n of_o this_o nature_n be_v here_o express_v in_o two_o table_n with_o which_o i_o have_v join_v a_o three_o show_v the_o product_n of_o 12_o by_o any_o number_n not_o exceed_v it_o self_n which_o in_o many_o question_n will_v be_v find_v as_o useful_a as_o either_o of_o the_o other_o aliquot_fw-la part_n of_o a_o pound_n aliquot_fw-la part_n of_o a_o shilling_n the_o product_n of_o 12_o by_o any_o number_n less_o  _fw-fr  _fw-fr  _fw-fr pence_n  _fw-fr  _fw-fr 10_o 0_o ½_o 11_o ⅓+⅓+¼_n 2_o ×_o 12._o 24_o 6_o 8_o ⅓_n 10_o ½+⅓_n 3_o ×_o 12._o 36_o 5_o 0_o ¼_n 9_o ½+¼_n 4_o ×_o 12._o 48_o 4_o 0_o ⅕_n 8_o ⅓+●_n ●_o 5_o ×_o 12._o 60_o 3_o 4_o ⅙_n 7_o ¼+⅓_n 6_o ×_o 12._o 72_o 2_o 6_o ⅛_n 6_o ½_o 7_o ×_o 12._o 84_o 2_o 0_o 1_o 10_o 5_o ¼+1_n ●_o 8_o ×_o 12._o 96_o 1_o 8_o 1_o 12_o 4_o ⅓_n 9_o ×_o 12._o 108_o 1_o 4_o 1_o 15_o 3_o ¼_n 10_o ×_o 12._o 120_o 1_o 3_o 1_o ●_o 2_o 1_o ●_o 11_o ×_o 12._o 132_o 1_o 0_o 1_o ●_o 1½_n ●_o ●_o 12_o ×_o 12._o 144_o shil_fw-la pence_n  _fw-fr 1_o 1_o 20_o  _fw-fr these_o thing_n premise_v i_o will_v now_o show_v how_o any_o question_n come_v under_o the_o aforesaid_a five_o case_n may_v be_v resolve_v 1._o case_n where_o the_o price_n of_o a_o integer_fw-la be_v shilling_n only_o 4._o where_o the_o price_n of_o 1_o or_o a_o integer_fw-la be_v two_o shilling_n the_o price_n of_o as_o many_o integer_n as_o you_o will_v may_v be_v discover_v by_o bare_a inspection_n for_o two_o shilling_n be_v the_o ten_o of_o a_o pound_n the_o double_a of_o the_o first_o figure_n towards_o the_o right_a hand_n be_v the_o number_n of_o shilling_n require_v and_o the_o rest_n of_o the_o figure_n be_v so_o many_o pound_n example_n 567_o yard_n at_o 2_o shilling_n the_o yard_n will_v cost_v 56_o pound_n 14_o shilling_n for_o the_o double_a of_o 7_o be_v 14_o which_o i_o write_v down_o by_o itself_o as_o shilling_n then_o take_v the_o rest_n of_o the_o figure_n towards_o the_o left_a hand_n for_o pound_n the_o answer_n be_v 56l_o 14_n 5._o when_o the_o give_v price_n of_o 1_o or_o a_o integer_fw-la be_v a_o even_a number_n of_o shilling_n great_a than_o two_o multiply_v the_o number_n of_o integer_n who_o price_n be_v require_v by_o half_a the_o number_n of_o shilling_n give_v the_o double_a of_o the_o first_o figure_n towards_o the_o right_a hand_n in_o the_o product_n be_v set_v down_o for_o the_o shilling_n apart_o all_o the_o other_o figure_n towards_o the_o left_a hand_n shall_v be_v the_o pound_n require_v example_n let_v the_o price_n of_o 365_o yard_n be_v require_v at_o 14_o shilling_n per_fw-la 1_o yard_n if_o you_o multiply_v 365_o by_o 7_o which_o be_v the_o half_a of_o 14_o the_o number_n of_o shilling_n give_v the_o product_n will_v be_v 2562_o now_o the_o double_a of_o 2_o the_o first_o figure_n 2_o towards_o the_o right_a hand_n be_v 4_o the_o other_o figure_n be_v 256_o pound_n and_o so_o the_o answer_n be_v 256l_o 4s_fw-la here_o note_v that_o 4_o shilling_n be_v the_o 5_o part_n of_o a_o pound_n if_o that_o be_v the_o price_n of_o a_o integer_fw-la it_o will_v be_v all_o one_o to_o multiply_v by_o 2_o or_o divide_v by_o 5_o if_o the_o double_a of_o the_o first_o figure_n in_o the_o product_n towards_o the_o right_a hand_n be_v take_v for_o the_o shilling_n according_a

labour_n in_o question_n of_o this_o nature_n may_v be_v many_o time_n save_v and_o then_o the_o two_o proportion_n will_v be_v as_o here_o you_o see_v they_o and_o how_o oft_o soever_o the_o rule_n of_o three_o must_v be_v repeat_v you_o must_v proceed_v as_o in_o the_o former_a direction_n till_o you_o come_v to_o the_o last_o and_o then_o make_v the_o ●…m_n four_o proportional_a to_o be_v the_o first_o term_n in_o the_o last_o rule_n of_o three_o and_o by_o that_o divide_v the_o product_n of_o the_o second_o and_o three_o term_n the_o quotient_n shall_v be_v the_o answer_n require_v as_o by_o the_o operation_n it_o do_v appear_v or_o thus_o multiply_v 73_o 5._o 1._o 120_o the_o number_n in_o the_o second_o column_n continual_o so_o will_v the_o product_n be_v 876●_n 5_o for_o a_o dividend_n and_o the_o number_n in_o the_o first_o column_n 1._o 38_o 5_o be_v almost_o multiply_v together_o the_o product_n be_v 38_o 5_o for_o a_o divisor_n and_o the_o quotient_a arise_v thence_o be_v 42●●●_n ●●●_o or_o 23_o 20_o 3●_n 3._o example_n if_o 27_o ducatons_n florence_n be_v equal_a in_o value_n to_o 5_o lib._n 19_o shilling_n 3_o penny_n sterling_a and_o 4_o lib._n 5_o shil_fw-la 4_o penny_n sterling_a equal_a to_o 16_o crown_n at_o lion_n how_o many_o ducatons_n florence_n be_v equal_a to_o 43_o crown_n at_o lion_n the_o number_n be_v place_v according_a to_o the_o former_a direction_n will_v stand_v thus_o 27_o ducatons_n =_o 5_o lib._n 19_o shilling_n 3_o penny_n sterl_n 4l_o 5s_n 4d_o sterling_a =_o 16_o crown_n lion_n 43_o crown_n lion_n =_o ducatons_n florence_n the_o which_o question_n by_o two_o rule_n of_o three_o be_v thus_o resolve_v penny_n stir_v ducatons_n d._n sterling_a ducatons_n 1431_o  _fw-fr 27_o 1024_o 19.32075_o crown_n lion_n ducatons_n cr●tyons_fw-fr ducatons_n  _fw-fr 16_o 19.32075_o 43_o ●1_n 9●45_n or_o thus_o 1431_o multiply_v by_o 16_o the_o product_n be_v 22896_o and_o 27._o 1024._o 43_o be_v multiply_v continual_o the_o product_n be_v 1188864_o which_o be_v divide_v by_o the_o former_a product_n the_o quotient_n be_v 51.9245_o ducatons_n as_o before_o but_o if_o the_o question_n have_v be_v how_o many_o crown_n lion_n be_v equal_a to_o 27_o ducatons_n the_o second_o proportion_n will_v have_v be_v 19_o 32075._o 16._o 43._o 35._o 60937_o or_o the_o product_n of_o ●431_n 16._o 43_o be_v 984528_o and_o the_o product_n of_o 1024._o 27_o be_v 27648_o by_o which_o divide_v the_o former_a product_n the_o quotient_n be_v 35._o 60937._o 4._o example_n if_o ½_o pistolet_n of_o spain_n be_v value_v at_o 3l_o 13_n 6d_o tournois_n 6l_o tournois_n at_o 141_o flemish_n 28l_o 14_n 7d_o flemish_n at_o 24l_o 12_n 6d_o sterling_a how_o many_o pistolet_n ought_v i_o to_o receive_v for_o 27l_o 6_n 9d_o sterling_a answer_v 98_o 41_o ●1_n pistolet_n for_o  _fw-fr tournois_n pistolet_n tournois_n pistolet_n 1._o 147_n 1_o 120●_n 120_o 147_o or_o 40_o ●●_o  _fw-fr flem._n pistolet_n flem._n pistolet_n 2._o 168_o ●2_n 40_o 49_o 689●_n 12_o 49728_o ●●●●●_o that_o be_v 33_o 74_o 147_o pistolet_n last_o  _fw-fr flem._n pistolet_n flem._n pistolet_n 3._o 1970_o 4_o 4925_o 147_o 5787_o ●_o 48462_o ●●●●●●_o or_o 98_o ●2_n ●●_o pistolet_n or_o place_v the_o term_n according_a to_o the_o former_a direction_n they_o will_v stand_v thus_o 1._o pistolet_n =_o 1764d_o tournois_n 1440d_o turn_v =_o 168d_o flemish_n 6895d_o flem._n =_o 5910d_o sterling_a 17361d_o star_z =_o pistolet_n the_o product_n of_o 1764._o 168._o 5910_o be_v multiply_v continual_o be_v 1751440320._o and_o the_o number_n 17361.6895.1440_o be_v multiply_v continual_o the_o product_n be_v 172373896800_o which_o be_v divide_v by_o the_o former_a product_n the_o quotient_n be_v 98_o 73274544_o ●●5144●●_n or_o 98_o 41_o 9●_n as_o before_o 5._o example_n shall_v be_v of_o several_a measure_n compare_v with_o one_o another_o supposition_n 45_o ell_n of_o norimberg_n =_o 36_o at_o vienna_n supposition_n 17_o ell_n of_o vienna_n =_o 21_o at_o venice_n supposition_n 280_o ell_n of_o venice_n =_o 208_o at_o colen_n question_v 95_o ell_n of_o colen_n =_o norimberg_n the_o number_n in_o the_o first_o column_n 4517._o 180.95_o be_v multiply_v continual_o the_o product_n be_v 130_o 81500._o and_o the_o number_n 36._o ●1_n 208_o in_o the_o second_o column_n be_v also_o multiply_v continual_o the_o product_n be_v 157248_o by_o which_o divide_v the_o former_a product_n the_o quotient_a 83._o 1902_o be_v the_o number_n of_o ell_n at_o norimberg_n equal_a to_o 95_o ell_n at_o colen_n 6._o example_n 15_o lib._n averdup_n london_n =_o 13½_n lib._n amsterdam_n 60_o lib._n amsterdam_n =_o 65½_n at_o bruges_n 122½_n at_o bruges_n =_o 145_o at_o dentzick_n dentzick_n =_o 112_o at_o london_n 7._o example_n may_v 1._o 1669._o a_o merchant_n stock_v his_o factor_n with_o 1000_o lib._n sterling_a and_o 64_o piece_n of_o cloth_n worcester_n whites_n 38_o ell_n english_a in_o every_o piece_n and_o 16_o shilling_n sterling_a by_o the_o ell_n all_o which_o the_o factor_n in_o way_n of_o traffic_n dispose_v of_o in_o manner_n follow_v 942_o lib._n sterling_a =_o 2355_o ell_n of_o taffety_n london_n 1547_o ell_n taffety_n =_o 045_o pipe_n of_o wine_n 015_o pipe_n of_o wine_n =_o 0173_o piece_n of_o dowlace_n 0138_o piece_n of_o dowlace_n =_o 55_o piece_n of_o holland_n 64_o piece_n of_o cloth_n =_o 275_o spansh_a pistolet_n 198_o spanish_a pistolet_n =_o 5821_o florin_n 275_o florin_n =_o 114158_o lib._n flemish_n 114._o 158_o lib._n flem._n =_o  _fw-fr november_n 17._o 1669._o the_o merchant_n and_o his_o factor_n be_v to_o come_v to_o balance_n the_o question_n be_v twofold_a 1._o what_o the_o factor_n have_v remain_v in_o his_o hand_n 2._o what_o it_o be_v worth_a in_o pound_n sterling_a to_o the_o first_o the_o factor_n be_v debtor_n ell_n imprimis_fw-la for_o london_n ell_n of_o taffety_n 808_o item_n piece_n of_o dowlace_n 35_o item_n pound_n sterling_a 58_o item_n piece_n of_o holland_n 55_o item_n spanish_a pistolet_n 77_o item_n florin_n 5546_o item_n pound_n flemish_n 114._o 358_o to_o find_v the_o value_n of_o 808_o ell_n of_o taffety_n ell_n taffety_n stir_v taffety_n lib._n  _fw-fr 2355_o 942_o 808_o 323_o 2_o sterling_a that_o be_v 323_o lib._n 4_o shilling_n then_o to_o find_v the_o value_n of_o the_o 35_o piece_n of_o dowlace_n in_o pound_n sterling_a the_o term_n of_o the_o question_n will_v stand_v thus_o 942_o lib._n sterling_a =_o 2355_o ell_n taffety_n 1547_o ell_n taffety_n =_o 15_o pipe_n of_o wine_n 15_o pipe_n =_o 173_o piece_n of_o dowlace_n 35_o piece_n dowlace_v =_o pound_n sterling_a here_o according_a to_o the_o method_n prescribe_v the_o four_o number_n in_o the_o first_o column_n 942._o 1547._o 15._o 35_o be_v multiply_v continual_o the_o product_n be_v 765053850_o for_o a_o dividend_n and_o the_o number_n in_o the_o second_o column_n 2555._o 15._o 173_o be_v also_o multiply_v continual_o the_o product_n be_v 6111225_o for_o a_o divisor_n and_o the_o quotient_a arise_v from_o these_o two_o product_n be_v 2d_o 1882_o lib._n sterling_a for_o the_o value_n of_o the_o 30_o piece_n of_o dowlace_n but_o because_o that_o one_o of_o the_o number_n in_o the_o first_o column_n be_v the_o same_o with_o one_o of_o the_o number_n in_o the_o second_o according_a to_o the_o note_n at_o the_o end_n of_o the_o second_o example_n that_o number_n may_v be_v neglect_v in_o both_o and_o then_o the_o number_n in_o the_o first_o column_n be_v 942._o 1547._o 35_o which_o be_v multiply_v continual_o the_o product_n be_v 51003590_o for_o a_o dividend_n and_o the_o number_n in_o the_o second_o column_n to_o be_v multiply_v be_v 2355._o 173_o and_o their_o product_n be_v 407415_o for_o a_o divisor_n and_o the_o quotient_a arise_v from_o these_o two_o number_n be_v 125._o 1882_o pound_n sterling_a as_o before_o 3._o to_o find_v the_o value_n of_o the_o 55_o piece_n of_o holland_n the_o term_n of_o the_o question_n will_v stand_v thus_o 942_o lib._n sterling_a =_o 2355_o ell_n of_o taffety_n 1547_o ell_n of_o taffety_n =_o 15_o pipe_n of_o wine_n 15_o pipe_n of_o wine_n =_o 173_o piece_n of_o dowlace_n 138_o piece_n of_o dowl_n =_o 55_o piece_n of_o holland_n 55_o piece_n of_o holland_n =_o pound_n sterling_a here_o the_o 15_o pipe_n of_o wine_n and_o the_o 55_o piece_n of_o holland_n may_v be_v neglect_v in_o both_o column_n and_o then_o the_o number_n to_o be_v multiply_v in_o the_o first_o column_n be_v 942._o 1547._o 138_o and_o the_o product_n of_o they_o be_v 201103872_o and_o the_o number_n in_o the_o second_o column_n be_v 2355._o 173_o and_o the_o product_n 407415_o as_o before_o and_o the_o quotient_a arise_v from_o these_o number_n be_v 493._o 6092_o pound_n sterling_a which_o be_v the_o value_n of_o the_o 55_o piece_n of_o holland_n the_o factor_n than_o have_v in_o his_o hand_n