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Word A Word B Word C Word D Occurrence Frequency Band MI MI Band Prominent
day_n hour_n mile_n minute_n 7,867 5 12.3320 5 true
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ID Title Author Corrected Date of Publication (TCP Date of Publication) STC Words Pages
A04547 Iohnsons Arithmatick in 2. bookes the first, of vulgare arithma: with diuers briefe and easye rules: to worke all the first 4. partes of arithmatick in whole numbers and fractions by the author newly invented the second, of decimall arithmatick wherby all fractionall operations are wrought, in whole numbers, in marchants accomptes without reduction; with interest, and annuityes by Iohn Iohnson survaighour; practitioner in the mattiematiqu; Arithmetick Johnson, John, fl. 1602-1657.; Delaram, Francis, 1589 or 90-1627, engraver. 1623 (1623) STC 14668.5; ESTC S107834 91,015 478

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weight_n haberd_n the_o pound_n owned_a dra._n scruple_n grain●_n one_o pound_n be_v 16_o 128_o 384_o 7680_o one_o half_a pound_n be_v 8_o 64_o 192_o 3840_o one_o quarter_n of_o a_o pound_n be_v 4_o 32_o 96_o 1920_o one_o eight_o of_o a_o pound_n be_v 2_o 16_o 48_o 960_o one_o sixteen_o of_o a_o pound_n be_v 1_o 8_o 24_o 480_o the_o hundred_o po●_n ounc_fw-la dra_n scruple_n one_o hundred_o be_v 112_o 1792_o 14336_o 43008_o one_o half_a hundred_o be_v 56_o 896_o 7168_o 21504_o one_o quarter_n hundred_o be_v 28_o 448_o 3534_o 10752_o one_o half_a quarter_n hundred_o be_v 14_o 224_o 1792_o 5376_o example_n of_o weight_n c._n qu._n li._n o●●_n c._n q._n li._n o●●_n d●_n 27._o 3._o 27._o 6_o 127._o 3._o 17._o 8._o 3._o 18._o 1._o 17._o 12._o 118._o 2._o 10._o 12._o 1._o 13._o 2._o 10._o 3._o 33._o 0._o 0._o 0._o 0._o 73._o 0._o 0._o 5._o 17._o 1._o 12._o 2._o 3._o 83._o 2._o 5._o 12._o 22._o 3._o 1._o 7._o 0._o 2_o 2_o 2_o  _fw-fr 17._o 0._o 10._o 3._o 0._o  _fw-fr  _fw-fr  _fw-fr  _fw-fr 2_o 1_o 2_o  _fw-fr  _fw-fr 211._o 2._o 6._o 6._o 336._o 2._o 24._o 00._o 7._o the_o explanation_n in_o the_o avoirdupois_n weight_n 20_o grain_n make_v one_o scruple_n 3_o scruple_n one_o dram_n 8_o dram_n one_o ounce_n 16_o ounce_n one_o pound_n 112_o pound_n be_v one_o hundred_o of_o the_o avoirdupois_n weight_n whereby_o be_v sell_v all_o kind_n of_o merchandise_n usual_a in_o this_o realm_n and_o therefore_o in_o addition_n of_o weight_n avoirdupois_n for_o every_o 3_o scruple_n add_v one_o dram_n and_o for_o every_o 8_o dram_n one_o ounce_n and_o for_o 16_o ounce_n 1_o pound_n for_o 28_o pound_n one_o quarter_n of_o a_o hundred_o and_o for_o every_o 4_o quarter_n one_o hundred_o first_o i_o begin_v with_o the_o dram_n in_o the_o first_o example_n to_o the_o right_a hand_n which_o be_v 3._o 1._o 3_o total_a be_v 7_o dram_n which_o i_o note_v down_o underneath_o because_o they_o be_v less_o than_o one_o ounce_n second_o the_o ounce_n be_v 3._o 7._o 2._o 12._o 8._o total_a be_v 32_o ounce_n or_o 2_o pound_n because_o 16_o ounce_n be_v one_o pound_n which_o two_o i_o set_v under_o the_o place_n of_o pound_n with_o a_o light_a touch_n of_o the_o pen_n for_o to_o remember_v it_o the_o better_a and_o place_v a_o cypher_n in_o the_o place_n of_o ounce_n three_o the_o pound_n be_v 2._o 10._o 1._o 12._o 10._o 17_o total_a be_v 52_o pound_n which_o be_v one_o quarter_n of_o a_o hundred_o and_o 24_o pound_n place_n 24_o pound_n under_o the_o place_n of_o pound_n and_o put_v one_o quarter_n as_o before_o in_o the_o place_n of_o quarter_n of_o hundred_o four_o 1._o 3._o 1._o 2._o 3_o quarter_n be_v 10_o quarter_n or_o 2_o hundred_o and_o 2_o quarter_n or_o half_o a_o hundred_o place_n 2_o quarter_n in_o the_o place_n of_o quarter_n and_o put_v over_o 2_o into_o the_o place_n of_o hundred_o for_o the_o 8_o quarter_n then_o 2._o 7._o 2._o 7._o 3._o 8._o 7_o make_v 36_o hundred_o place_z 6_o and_o carry_v 3_o for_o the_o 30_o then_o say_v 3._o 1._o 2._o 1._o 3._o 1._o 2_o 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one_o pottle_n 4_o one_o gallon_n 8_o one_o peck_n 16_o 4_o peck_v one_o bushel_n land-measure_n 64_o 5_o peck_v one_o water-bushell_n 80_o 8_o bushel_n one_o quarter_n 512_o 4_o quarter_n on_o chaulder_n 2048_o 5_o quarter_n one_o way_n 2560_o the_o table_n of_o long_a measure_n  _fw-fr inch._n three_o barley_n corn_n in_o length_n one_o inch_n 1_o one_o foot_n 12_o one_o yard_n or_o 3_o foot_n 36_o or_o 3_o foot_n 9_o inch_n a_o english_a ell_n 45_o or_o 6_o foot_n one_o fadom_n 72_o or_o 5_o yard_n and_o half_a a_o pole_n or_o perch_n 198_o or_o one_o perch_n in_o breadth_n and_o 40_o long_a one_o rood_n 198_o or_o 4_o perch_n breadth_n and_o 40_o long_a a_o acre_n of_o land_n 792_o 160_o square_a perch_n be_v one_o acre_n 792_o 40_o rod_n in_o length_n be_v one_o furlong_n and_o 8_o furlong_n be_v a_o english_a mile_n  _fw-fr the_o table_n of_o time_n  _fw-fr minut._n one_o minute_n 1_o one_o hour_n 60_o one_o day_n natural_a or_o 24_o hour_n 1440_o one_o week_n or_o 7_o day_n 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foot_n one_o yard_n three_o for_o 16_o pint_n take_v one_o peck_n and_o for_o every_o 4_o peck_v one_o bushel_n into_o the_o place_n of_o bushel_n four_o for_o every_o 8_o pint_n of_o liquid_a measure_n take_v one_o gallon_n and_o for_o every_o 63_o gallon_n one_o hogshead_n five_o in_o the_o example_n of_o time_n for_o 60_o minute_n take_v one_o hour_n and_o for_o 24_o hour_n one_o day_n and_o for_o 365_o day_n one_o year_n six_o for_o 4_o nail_n take_v one_o quarter_n of_o a_o yard_n and_o for_o 4_o quarter_n one_o yard_n etc._n etc._n last_o in_o the_o example_n of_o motion_n for_o 60_o three_o take_v 1_o second_o &_o for_o 60_o second_n take_v one_o minute_n and_o for_o 60_o minute_n take_v one_o degree_n and_o for_o 30_o degree_n take_v one_o sign_n and_o this_o be_v the_o use_n of_o these_o table_n in_o addition_n and_o subtraction_n for_o look_v what_o you_o carry_v over_o in_o addition_n that_o you_o must_v borrow_v in_o subtraction_n i_o will_v hear_v add_v example_n of_o every_o kind_n leave_v the_o reader_n to_o exercise_v himself_o by_o the_o rule_v before_o teach_v example_n acre_n rood_n per._n foot_n inch._n quart_n 127._o 3._o 21_o 124._o 7._o 3_o 246._o 1._o 12_o 246._o 11._o 4_o 17._o 3._o 22_o 134._o 7._o 2_o 27._o 1._o 8_o 120._o 8._o 0_o 37._o 0._o 17_o 72._o 10._o 2_o 2_o 2_o  _fw-fr 3_o 2_o  _fw-fr 456._o 2._o 00_o 699._o 9_o 3._o bushel_n peeks_n pint_n yard_n quar._n naile_n 127._o 3._o 11._o 127._o 2._o 3_o 256._o 1._o 7_o 359._o 1._o 4_o 345._o 0._o 0_o 152._o 3._o 0_o 184._o 2._o 10_o 16._o 0._o 0_o 1_o 1_o  _fw-fr 1_o 1_o  _fw-fr 913._o 3._o 12_o 655._o 3._o 3._o year_n day_n hour_n min._n second_o 356._o 245._o 16._o 35._o 20._o 249._o 100_o 12._o 30._o 00._o 756._o 12._o 00._o 10._o 12._o 140._o 27._o 30._o 25._o 02._o 1618._o 00._o 20._o 00._o 00._o 1_o 3_o 1_o  _fw-fr  _fw-fr 3120._o 22._o 07._o 40._o 34._o sign_n degree_n minute_n second_o three_o 11._o 22._o 32._o 24._o 18._o 8._o 19_o 17._o 20._o 12._o 10._o 07._o 00._o 08._o 15._o 2._o 17._o 35._o 50._o 59_o 3._o 29._o 30._o 12._o 00._o 3_o 1_o 1_o 1_o  _fw-fr 37._o 05._o 55._o 55._o 44._o the_o proof_n of_o addition_n the_o proof_n of_o addition_n be_v make_v by_o subtraction_n for_o if_o you_o subtract_v the_o number_n which_o you_o add_v from_o the_o total_a of_o the_o addition_n there_o will_v remain_v nothing_o if_o the_o work_n be_v true_o do_v example_n  _fw-fr l._n s._n d._n
q._n  _fw-fr 378567._o 19_o 10._o 1._o  _fw-fr 240023._o 10._o 2._o 0._o  _fw-fr 854●26_n 07._o 1._o 0._o  _fw-fr 785634._o 13._o 3._o 2._o  _fw-fr 320500._o 00._o 11._o 1._o  _fw-fr 2_o 2_o  _fw-fr  _fw-fr totall_n 2579●52_n 11._o 4._o 0._o first_o add_v together_o the_o great_a sum_n in_o value_n in_o the_o place_n of_o hundred_o thousand_o which_o make_v 23_o which_o take_v from_o 25_o and_o there_o will_v remain_v 2_o then_o the_o figure_n in_o the_o five_o place_n 26_o take_v from_o 27_o there_o will_v remain_v 1._o three_o the_o figure_n in_o the_o place_n of_o thousand_o make_v 17_o which_o take_v from_o 19_o leave_v 2_o then_o 19_o in_o the_o place_n of_o hundred_o take_v from_o 20_o leave_v 1_o and_o again_o 13_o in_o the_o place_n of_o ten_o from_o 15_o leave_v 2_o and_o last_o 20_o in_o the_o place_n of_o unite_v from_o 22_o ponnd_a leave_v 2_o pound_n then_o 49_o shilling_n from_o 2_o pound_n 11_o shilling_n leave_v 2_o shilling_n also_o 2_o shilling_n 3_o penny_n in_o the_o place_n of_o penny_n from_o 2_o shilling_n 4_o penny_n lean_v 1_o and_o last_o of_o all_o 4_o farthing_n from_o 1_o penny_n leave_v nothing_o which_o prove_v the_o work_n to_o be_v true_o wrought_v the_o second_o proof_n of_o addition_n cut_a of_o the_o uppermost_a number_n with_o a_o dash_n of_o the_o pen_n and_o add_v the_o remayner_n into_o one_o totall_n and_o then_o subtract_v that_o sum_n from_o the_o whole_a total_a and_o the_o remayner_n will_v be_v the_o number_n which_o you_o cut_v off_o if_o the_o work_n be_v true_a else_o not_o example_n  _fw-fr 378567._o 19_o 10._o 1._o  _fw-fr  _fw-fr 240023._o 10._o 2._o 0._o  _fw-fr  _fw-fr 854326._o 7._o 1._o 0._o  _fw-fr  _fw-fr 785634._o 13._o 3._o 2._o  _fw-fr  _fw-fr 320500._o 00._o 11._o 1._o  _fw-fr  _fw-fr 2_o 2_o  _fw-fr  _fw-fr  _fw-fr the_o total_a 2579052._o 11._o 4._o 0._o of_o all_o subt._n 2200484._o 11._o 5._o 3._o the_o sum_n the_o 378567._o 19_o 10._o 1._o proof_n and_o so_o much_o shall_v suffice_v to_o have_v speak_v of_o addition_n and_o the_o proof_n thereof_o question_n of_o addition_n what_o number_n be_v that_o to_o the_o which_o if_o you_o do_v add_v 45_o the_o total_a will_v be_v 357._o answer_n subtract_v 45_o from_o 357_o remain_v 312._o example_n 357_o 45_o 312_o what_o three_o number_n be_v those_o to_o which_o if_o you_o add_v 27_o 36_o and_o 45_o their_o product_n shall_v be_v equal_a and_o the_o sum_n arise_v shall_v be_v 120._o proof_n 120_o 120_o 120_o 93_o 27_o 35_o 45_o 27_o 93_o 89_o 75_o 120_o what_o number_n be_v that_o to_o the_o which_o if_o you_o do_v add_v 354_o pound_n 7_o shslling_n 9_o penny_n the_o total_a will_v be_v 512_o pound_n 15_o shilling_n o_o penny_n answer_v subtract_v 354_o pound_n 7_o shilling_n 9_o penny_n from_o 512_o pound_n 15_o shilling_n o_o penny_n and_o the_o remainder_n will_v be_v 158_o pound_n 7_o shilling_n 3_o penny_n which_o be_v the_o number_n that_o you_o do_v seek_v example_n l._n s._n d._n 512._o 15._o 0._o 354._o 7._o 9_o 158._o 7._o 3._o chap._n iii_o subtraction_n svbtraction_n s●●●eth_v to_o deduct_v one_o sum_n from_o another_o the_o lesser_a from_o the_o great_a and_o to_o show_v the_o remain_v place_v your_o great_a number_n from_o which_o the_o subtraction_n be_v to_o be_v make_v in_o the_o uppermost_a part_n and_o the_o number_n to_o be_v subtract_v or_o deduct_v right_o underneath_o every_o figure_n under_o his_o like_a kind_n or_o denomination_n viz._n pound_n under_o pound_n shilling_n under_o shilling_n and_o penny_n under_o penny_n etc._n etc._n in_o this_o manner_n  _fw-fr l._n s._n d._n q._n lent_n 7756._o 13._o 10._o 1._o pay_v 3949._o 17._o 11._o 2._o rest_n 3806._o 15._o 10._o 3._o proof_n 7756._o 13._o 10._o 1._o then_o begin_v your_o subtraction_n at_o the_o left_a hand_n at_o the_o small_a number_n but_o if_o the_o low_a figure_n of_o the_o undermost_a number_n be_v the_o great_a that_o it_o can_v be_v abate_v out_o of_o the_o number_n above_o it_o then_o add_v one_o of_o your_o next_o great_a denomination_n and_o make_v your_o subtraction_n from_o both_o note_v the_o remainder_n as_o if_o you_o have_v 10_o penny_n to_o take_v from_o 7_o penny_n add_v one_o shilling_n or_o 12_o penny_n unto_o 7_o penny_n that_o make_v 19_o penny_n then_o take_v 10_o penny_n from_o 19_o penny_n and_o there_o will_v remain_v 9_o penny_n which_o note_v down_o under_o the_o 10_o penny_n and_o because_o you_o do_v borrow_v one_o shilling_n therefore_o in_o the_o number_n of_o shilling_n you_o shall_v take_v away_o one_o more_o than_o it_o be_v in_o the_o next_o place_n of_o shilling_n and_o this_o rule_n be_v general_a in_o coin_n measure_n time_n motion_n or_o any_o other_o thing_n else_o whatsoever_o 1._o example_n of_o subtraction_n of_o coin_n  _fw-fr l._n s._n d._n q._n lent_n 789786._o 17._o 11._o 3._o paid_n 692583._o 19_o 10._o 1._o rest_n 97202._o 18._o 1._o 2._o proof_n 789786._o 17._o 11._o 3._o 2._o example_n of_o weight_n  _fw-fr c._n que_fw-fr l._n owned_a lent_n 127._o 3._o 27._o 10._o paid_n 38._o 2._o 24._o 15._o rest_n 89._o 1._o 2._o 11._o proof_n 127._o 3._o 27._o 10._o 3._o example_n of_o time_n  _fw-fr year_n day_n hour_n min._n totall_n 1618._o 340._o 20._o 56._o deduct_v 1581._o 122._o 15._o 59_o rest_n 0037._o 218._o 04._o 57_o proof_n 1618._o 340._o 20._o 56._o 4._o example_n of_o motion_n  _fw-fr sig._n deg._n min._n second_o three_o totall_n 11._o 22._o 36._o 52._o 40._o subt._n 7._o 29._o 51._o 42._o 56._o rest_n 3._o 22._o 45._o 09._o 44._o proof_n 11._o 22._o 36._o 52._o 40._o the_o explanation_n of_o these_o example_n in_o the_o first_o example_n of_o coin_n begin_v your_o subtraction_n at_o the_o right_a hand_n say_v 1_o farthing_n from_o 3_o farthing_n leave_v 2_o farthing_n which_o note_v down_o under_o the_o 1_o farthing_n then_o 10_o penny_n from_o 11_o penny_n leave_v 1_o penny_n three_o 19_o shilling_n from_o 17_o shilling_n you_o can_v have_v therefore_o take_v one_o pound_n or_o 20_o shilling_n and_o add_v to_o 19_o shilling_n say_v 19_o shilling_n from_o 37_o shilling_n rest_v 18_o shilling_n which_o note_v down_o then_z 1_o that_o you_o borrow_v &_o 3_o pound_n be_v 4_o pound_n from_o 6_o pound_n leave_v 2_o pound_n to_o set_v down_o under_o 3._o then_o 8_o from_o 8_o leave_v nothing_o place_n there_o a_o cypher_n or_o 0_o under_o 8._o then_z 5_o from_o 7_o rest_n 2_o then_o 2_o from_o 9_o leaf_n 7_o which_o also_o note_v again_o 9_o from_o 8_o can_v be_v take_v then_o make_v it_o 10_o more_o and_o say_v 9_o from_o 18_o leaf_n 9_o which_o set_v down_o and_o last_o of_o all_o 1_o borrow_a and_o 6_o be_v 7_o from_o 7_o leave_v nothing_o and_o the_o work_n be_v end_v and_o the_o remayner_n will_v be_v 97202_o pound_n 18_o shilling_n 1_o penny_n 2_o farthing_n as_o appear_v in_o the_o example_n before_o go_v the_o exposition_n of_o the_o second_o example_n first_o take_v 15_o ounce_n from_o 10_o which_o can_v be_v then_o add_v 1_o pound_n or_o 16_o ounce_n to_o 10_o make_v 26_o then_o say_v 15_o from_o 26_o leaf_n 11_o ounce_n which_o note_v down_o then_o 1_o borrow_a and_o 24_o be_v 25_o from_o 27_o pound_n leave_v 2_o pound_n remain_v then_o 2_o quarter_n from_o 3_o quarter_n leave_v 1_o quarter_n remain_v then_o 8_o from_o 7_o can_v be_v therefore_o take_v 8_o from_o 17_o rest_v 9_o which_o note_v down_o than_o one_o borrow_v and_o 3_o makes_z 4_o from_o 12_o rest_v 8_o and_o the_o work_n be_v do_v and_o the_o remain_n be_v 89_o hundred_o 1_o quarter_n 2_o pound_n 11_o ounce_n 3_o example_n first_o take_v 59_o minute_n from_o 56_o minute_n can_v be_v but_o then_o take_v 59_o minute_n from_o 60_o minute_n or_o one_o hour_n and_o there_o will_v remain_v 1_o minute_n which_o add_v to_o 56_o minute_n and_o that_o will_v make_v 57_o minute_n which_o note_v down_o in_o the_o place_n of_o minute_n then_o 1_o borrow_a and_o 15_o hour_n make_v 16_o hour_n which_o take_v from_o 20_o hour_n leaf_n 4_o which_o note_n under_o the_o 15_o and_o then_o 2_o day_n from_o 0_o can_v be_v but_o 2_o from_o 10_o and_o there_o will_v remain_v 8_o which_o note_v down_o then_o 1_o borrow_a and_o 2_o makes_z 3_o from_o 4_o leaf_n 1_o also_o 1_o from_o 3_o leaf_n 2_o last_o 1_o from_o 8_o leaf_n 7_o and_o 8_o from_o 11_o leaf_n 3_o then_o 1_o borrow_a and_o 15_o make_v 16_o from_o 16_o leave_v nothing_o and_o the_o remayner_n will_v be_v 37_o year_n 218_o day_n 4_o hour_n 57_o minute_n the_o like_a be_v do_v in_o the_o other_o example_n of_o motion_n and_o therefore_o here_o needless_a to_o be_v rehearse_v to_o subtract_v from_o a_o unite_v set_a down_o with_o your_o pen_n
be_v pound_n and_o so_o you_o have_v pound_n shilling_n and_o penny_n example_n in_o 785697_o penny_n how_o many_o pound_n shilling_n and_o penny_n make_v 3273_o pound_n 14_o shilling_n 9_o penny_n if_o you_o will_v bring_v farthing_n into_o pound_n shilling_n and_o penny_n divide_v first_o by_o 16_o and_o the_o remainder_n be_v farthing_n always_o less_o than_o 16_o or_o one_o groat_n and_o then_o again_o by_o 6_o make_v pound_n shilling_n and_o penny_n as_o before_o cut_v off_o the_o prime_a line_n example_n in_o 8735672_o farthing_n how_o many_o pound_n shilling_n and_o penny_n reduction_n of_o weight_n in_o 8756_o hundred_o 3_o quarter_n 24_o pound_n 12_o ounce_n haberde_v poyce_n 16_o ounce_n to_o the_o pound_n and_o 112_o pound_n to_o the_o hundred_o how_o many_o pound_n and_o ounce_n example_n in_o 1569●492_n ounce_n avoirdupois_n how_o many_o hundred_o quarter_n pound_n and_o ounce_n find_v how_o many_o ounce_n make_v 112_o pound_n in_o multiply_v 112_o pound_n by_o 16_o ounce_n make_v 1792_o ounce_n by_o which_o divide_v make_v as_o in_o the_o example_n follow_v reduction_n of_o measure_n in_o 2356_o acre_n 3_o rood_n 27_o perch_n how_o many_o perch_n in_o all_o example_n in_o 765437_o perch_n how_o many_o acre_n rood_n and_o perch_n divide_v by_o 160._o example_n reduction_n of_o time_n in_o 356_o year_n 24_o day_n 36_o hour_n and_o 22_o minute_n how_o many_o day_n hour_n and_o minute_n example_n the_o proof_n in_o 187150342_o minute_n how_o many_o hour_n day_n year_n and_o minute_n reduction_n of_o motion_n in_o 11_o sign_n 34_o degree_n 25_o minute_n 36_o second_n 24_o three_o how_o many_o fourth_n example_n the_o proof_n in_o 4722971040_o fourth_n how_o many_o sign_n degree_n minute_n second_o three_o &_o fourth_n example_n question_n by_o reduction_n 1._o question_n in_o 389_o pound_n starling_n how_o many_o dollar_n of_o 4_o shilling_n 8_o penny_n or_o 14_o groat_n a_o piece_n reduce_v 389_o pound_n into_o groat_n in_o multiply_v they_o by_o 60_o make_v 23340_o groat_n which_o divide_v by_o 14_o groat_n make_v 1667_o pound_n and_o 8_o penny_n example_n 2._o question_n in_o 300_o pound_n starling_n how_o many_o angel_n at_o a_o 11_o shilling_n a_o piece_n reduce_v 300_o pound_n into_o shilling_n make_v 6000_o shilling_n which_o divide_v by_o a_o 11_o make_v 545_o angel_n and_o there_o will_v remain_v 5_o shilling_n example_n 3._o question_n in_o 3012_o pound_n how_o many_o rial_n of_o plate_n at_o 7_o penny_n a_o ryall_n reduce_v 3012_o pound_n into_o penny_n make_v 722880_o penny_n which_o divide_v by_o 7_o makes_z as_o in_o the_o example_n example_n 4._o question_n if_o one_o dollar_n be_v worth_a 4_o shilling_n 8_o penny_n how_o many_o dollar_n be_v in_o 108579_o pound_n 16_o shilling_n starling_n multiply_v your_o pound_n by_o 60_o make_v 6514740_o then_o reduce_v 16_o shilling_n into_o groat_n by_o 3_o make_v 48_o groat_n which_o add_v into_o one_o total_a make_v 6514788_o which_o divide_v by_o 14_o makes_z as_o in_o the_o example_n example_n in_o 465342_o dollar_n of_o 14_o groat_n a_o piece_n how_o much_o starling_n money_n multiply_v your_o dollar_n by_o 14_o make_v 6514788_o groat_n which_o divide_v by_o 60_o make_v 108579_o pound_n 16_o shilling_n example_n 5._o question_n if_o i_o receive_v 8060_o french_a crown_n at_o 6_o shilling_n a_o piece_n in_o france_n how_o much_o starling_n must_v i_o pay_v for_o they_o at_o 6_o shilling_n 1_o penny_n a_o piece_n multiply_v 8060_o by_o 73_o penny_n the_o number_n of_o penny_n in_o one_o french_a crown_n make_v 588380_o penny_n which_o divide_v by_o 240_o penny_n make_v 2451_o pound_n 11_o shilling_n 8_o penny_n example_n 6._o question_n if_o 564_o yard_n of_o cloth_n cost_v 124_o pound_n 12_o shilling_n how_o may_v i_o sell_v a_o yard_n to_o gain_v 22_o pound_n 7_o shilling_n by_o the_o whole_a sum_n answer_v add_v 22_o pound_n 7_o shilling_n to_o 124_o pound_n 12_o shilling_n make_v 146_o pound_n 19_o shilling_n which_o reduce_v into_o penny_n make_v 35268_o penny_n which_o divide_v by_o 564_o make_v 5_o s._n 2_o d._n ½_o 6_o 47_o of_o a_o farthing_n for_o the_o price_n to_o sell_v one_o yard_n for_o to_o gain_v 22_o pound_n 7_o shilling_n by_o the_o bargain_n example_n 7_o question_n if_o 156_o ell_n of_o cloth_n cost_v 124_o pound_n what_o will_v one_o ell_n cost_n reduce_v 124_o pound_n into_o shilling_n make_v 2480_o shilling_n which_o divide_v by_o 156_o make_v 15_o shilling_n 4_o penny_n 26_o 156_o q._n example_n 8._o question_n if_o i_o sell_v 342_o yard_n of_o velvet_n for_o 241_o pound_n 17_o shilling_n how_o do_v i_o sell_v one_o yard_n reduce_v your_o 241_o pound_n 17_o shilling_n into_o shilling_n make_v 4837_o shilling_n which_o divide_v by_o 342_o yard_n make_v 14_o shilling_n 1_o penny_n 43_o ●57_n of_o a_o penny_n example_n 9_o question_n a_o certain_a nobleman_n send_v his_o servant_n to_o the_o tower_n of_o london_n with_o the_o king_n majesty_n warrant_v to_o the_o mintmaster_n for_o 3408_o pound_n 15_o shilling_n will_v he_o to_o bring_v it_o in_o piece_n of_o 12_o d._n of_o 9_o d._n of_o 6_o d._n of_o 3_o d._n of_o 2_o d._n of_o ●_o d_o of_o 1_o oh_o command_v he_o to_o bring_v he_o of_o each_o sort_n a_o like_a quantity_n or_o number_n of_o piece_n the_o question_n be_v to_o know_v how_o many_o of_o each_o sort_n he_o shall_v bring_v unto_o his_o master_n to_o make_v the_o say_a sum_n of_o 3408_o li._n 15_o s._n reduce_v your_o money_n into_o half_a penny_n and_o also_o your_o several_a piece_n of_o coin_n into_o half_a penny_n and_o divide_v the_o great_a by_o the_o lesser_a as_o in_o the_o example_n example_n what_o progression_n arithmaticall_a be_v and_o the_o rule_n progression_n arithmetical_a be_v nothing_o else_o but_o a_o brief_a sum_n colect_v or_o gather_v together_o of_o diverse_a number_n increase_v by_o equal_a proportion_n into_o one_o total_a sum_n as_o for_o example_n 1._o 2._o 3._o 4._o 5._o 6._o 7._o 8._o 9_o 10._o etc._n etc._n or_o also_o 3._o 4._o 5._o 6._o 7._o 8._o etc._n etc._n or_o 2._o 4_o 6._o 8._o 10_o 12._o etc._n etc._n or_o else_o by_o 3_o as_o 5._o 8._o 11._o 14_o 17._o 20._o 23._o 26._o etc._n etc._n or_o of_o all_o such_o like_a kind_n of_o progrission_n which_o do_v increase_v equal_o by_o 2._o 3._o 4._o 5_o or_o 6_o or_o any_o other_o great_a increase_n and_o such_o kind_n of_o progression_n be_v call_v arithmetical_a 2._o to_o find_v the_o sum_n of_o a_o progression_n mark_v first_o how_o many_o several_a place_n there_o be_v in_o your_o progression_n and_o note_n that_o down_o then_o add_v the_o first_o number_n of_o the_o progression_n to_o the_o last_o then_o multiply_v half_o those_o two_o number_n by_o the_o whole_a number_n of_o the_o place_n or_o else_o half_a the_o number_n of_o the_o place_n by_o the_o whole_a number_n of_o the_o first_o and_o last_o term_v add_v into_o one_o sum_n and_o both_o way_n will_v produce_v the_o total_a sum_n of_o that_o progression_n example_n there_o be_v a_o progression_n beginning_n at_o 4_o and_o be_v continue_v unto_o 44_o increase_v by_o 4._o first_o set_v down_o the_o number_n of_o that_o progression_n begin_v at_o 4_o and_o end_v at_o 44._o term_n 4._o 8._o 12._o 16._o 20._o 24._o 28._o 32._o 36._o 40._o 44._o place_n 1._o 2._o 3._o 4._o 5._o 6._o 7._o 8._o 9_o 10._o 11._o here_o the_o first_o term_n be_v 4_o and_o the_o last_o be_v term_n be_v 44_o which_o add_v together_o make_v 48_o the_o one_o half_a which_o be_v 24_o multiply_v by_o a_o 11_o the_o whole_a number_n of_o place_n make_v 264_o the_o total_a example_n first_o question_n a_o certain_a man_n give_v to_o his_o daughter_n in_o marriage_n the_o first_o day_n of_o january_n 1_o pound_n and_o the_o second_o day_n 2_o pound_n the_o three_o day_n 3_o pound_n and_o so_o increase_v every_o day_n 1_o pound_n until_o 31_o day_n be_v expire_v the_o question_n be_v what_o he_o shall_v receive_v in_o the_o whole_a sum_n first_o 31_o day_n be_v the_o number_n of_o place_n and_o 31_o li._n be_v the_o last_o payment_n add_v the_o first_o term_n 1_o to_o the_o last_o term_n 31_o make_v 32_o which_o multiply_v by_o 15_o one_o half_a which_o be_v half_a 31_o or_o take_v 31_o and_o half_o 32_o and_o the_o product_n will_v be_v the_o total_a sum_n of_o his_o wife_n portion_n example_n how_o to_o find_v the_o latter_a term_n of_o a_o progression_n if_o you_o will_v know_v the_o latter_a term_n of_o a_o progression_n of_o 100_o term_n increase_v by_o 3_o and_o beginning_n at_o 10_o take_v one_o term_n from_o 100_o term_n &_o there_o will_v remain_v 99_o which_o multiply_v by_o 3_o the_o excess_n or_o difference_n of_o the_o increase_n make_v 297_o to_o the_o which_o if_o you_o add_v
penny_n the_o elle_fw-fr canvas_n what_o will_v 7848_o else_o cost_n add_v a_o cypher_n and_o divide_v 78480_o by_o 240_o and_o the_o quotient_n will_v be_v 32_o pound_n 7_o prime_n which_o multiply_v by_o 17_o penny_n the_o price_n make_v 555_o pound_n 9_o prime_n or_o 18_o shilling_n example_n at_o 3_o shilling_n 5_o penny_n a_o ell_n of_o holland_n what_o will_v 702_o else_o cost_n divide_v 7020_o by_o 240_o make_v 2_o pound_n 9_o prime_n and_o there_o will_v remain_v 6_o which_o multiply_v by_o 41_o penny_n the_o price_n of_o ●e_a ell_n make_v 118_o pound_n 9_o prime_n or_o 18_o shilling_n and_o then_o the_o 6_o else_o make_v 1_o pound_n 6_o penny_n the_o total_a be_v 119_o pound_n 18_o shilling_n 6_o penny_n example_n at_o 19_o penny_n the_o ell_n of_o holland_n what_o will_v 32544_o else_o cost_n divide_v 325440_o by_o 240_o make_v 1356_o which_o multiply_v by_o 19_o penny_n the_o price_n of_o one_o ell_n make_v 2576_o pound_n 8_o shilling_n the_o golden_a rule_n of_o single_a proportion_n direct_v or_o the_o rule_n of_o three_o call_v the_o golden_a rule_n in_o this_o rule_n of_o 3_o direct_v there_o be_v always_o three_o term_n give_v and_o a_o four_o require_v and_o it_o be_v call_v the_o golden_a rule_n in_o regard_n of_o the_o excellency_n of_o this_o rule_n above_o all_o other_o the_o difficulty_n of_o this_o rule_n consist_v in_o the_o right_a place_n of_o the_o three_o number_n give_v set_v the_o term_n next_o your_o right_a hand_n whhereupon_o the_o question_n be_v move_v and_o a_o term_n of_o the_o same_o nature_n towards_o the_o left_a hand_n &_o the_o three_o term_n in_o the_o middle_n then_o multiply_v the_o second_o number_n by_o the_o three_o and_o divide_v the_o product_n by_o the_o first_o and_o the_o quotient_n be_v the_o four_o proportional_a number_n seek_v or_o desire_v to_o be_v find_v out_o who_o denomination_n be_v ever_o like_a unto_o the_o middle_a number_n 1._o example_n if_o 90_o yard_n of_o cloth_n cost_v 23_o pound_n what_o cost_v 346_o yard_n if_o 124_o pound_n gain_v 37_o pound_n 12_o shilling_n what_o will_v 758_o pound_n gain_v how_o to_o work_v this_o last_o example_n and_o all_o other_o after_o a_o more_o brief_a and_o exact_a manner_n divide_v the_o three_o number_n by_o the_o first_o and_o by_o the_o quotient_a multiply_v the_o second_o and_o the_o product_n be_v the_o answer_n example_n if_o 356_o else_o cost_v 137_o pound_n 12_o shilling_n 9_o penny_n what_o cost_v 2848_o else_o first_o divide_v 2848_o by_o 356_o the_o quotient_n be_v 8_o by_o which_o i_o multiply_v 137_o pound_n 12_o shilling_n 9_o penny_n the_o product_n be_v 1096_o pound_n 96_o shilling_n 72_o penny_n then_o divide_v 72_o by_o 12_o be_v 6_o shilling_n which_o add_v to_o 96_o shilling_n make_v 102_o shilling_n or_o 5_o pound_n 2_o shilling_n the_o total_a be_v 1101_o pound_n 2_o shiliing_n as_o before_o 2._o example_n if_o 124_o yard_n cost_v 17_o pound_n 10_o shilling_n 1_o penny_n what_o cost_v 744_o yard_n if_o 32_o piece_n of_o raisin_n cost_v 19_o pound_n 2_o shilling_n 2_o penny_n what_o will_v 112_o piece_n cost_v at_o that_o rate_n 3._o example_n if_o 356_o piece_n cost_v 137_o pound_n 12_o shilling_n 9_o penny_n what_o will_v 2848_o piece_n cost_v at_o that_o rate_n example_n example_n how_o to_o know_v whether_o any_o question_n give_v be_v to_o be_v answer_v by_o the_o rule_n direct_v or_o converse_v by_o these_o note_n follow_v you_o shall_v find_v whether_o any_o question_n propound_v be_v to_o be_v answer_v by_o the_o rule_n of_o 3_o direct_v or_o converse_v for_o always_o the_o three_o number_n be_v the_o number_n whereon_o the_o question_n depend_v and_o be_v distinguish_v from_o the_o other_o two_o by_o some_o one_o of_o these_o note_n follow_v and_o the_o answer_n be_v always_o more_o or_o less_o so_o that_o if_o it_o be_v more_o than_o the_o lesser_a of_o your_o two_o extreme_a number_n be_v the_o divisor_n if_o less_o than_o the_o great_a of_o your_o two_o extreme_n be_v your_o divisor_n if_o the_o number_n whereon_o the_o question_n be_v depend_v be_v your_o divisor_n they_o the_o answer_n be_v by_o the_o converse_n rule_n and_o you_o must_v multiply_v your_o two_o former_a number_n for_o dividend_n if_o the_o first_o number_n be_v the_o divisor_n than_o the_o question_n be_v answerable_a by_o the_o direct_a rule_n and_o the_o product_n of_o the_o two_o latter_a number_n be_v your_o dividend_n example_n if_o 13_o cannon_n spend_v 358_o pound_n of_o powder_n what_o will_v 5_o cannon_n spend_v now_o here_o the_o question_n be_v what_o 5_o cannon_n will_v spend_v i_o answer_v less_o than_o 13_o cannon_n wherefore_o by_o this_o rule_n the_o great_a of_o the_o two_o extreme_n 13_o be_v the_o divisor_n wherefore_o i_o multiply_v 358_o by_o 5_o and_o divide_v by_o 13_o make_v 137_o pound_n 6_o ∶_o 13_o that_z 5_o cannon_n will_v spend_v 2._o example_n if_o 13_o cannon_n spend_v 358_o powder_n what_o will_v 5_o cannon_n spend_v 2._o example_n i_o lend_v my_o friend_n 115_o pound_n for_o 7_o month_n and_o when_o i_o come_v to_o he_o to_o require_v the_o like_a kindness_n he_o can_v lend_v i_o by_o 54_o pound_n the_o question_n be_v how_o long_o he_o shall_v forbear_v that_o 54_o pound_n to_o make_v requital_n or_o to_o equal_v my_o time_n and_o kindness_n if_o 115_o pound_n require_v 7_o month_n what_o will_v 54_o pound_n require_v here_o the_o answer_n in_o reason_n be_v that_o 54_o pound_n must_v be_v long_a time_n forbear_v then_o 115_o pound_n and_o so_o the_o answer_n be_v more_o time_n than_o 115_o pound_n so_o that_o i_o find_v the_o lesser_a of_o my_o exteame_n 54_o be_v my_o divisor_n and_o the_o question_n answerable_a by_o the_o rule_n converse_v so_o that_o i_o multiply_v 115_o by_o 7_o make_v 805_o which_o divide_v by_o 54_o make_v 14_o month_n 49_o ∶_o 54_o of_o a_o month_n or_o 14_o month_n 25_o day_n 23_o ∶_o 25_o example_n 4._o example_n a_o captain_n of_o a_o band_n of_o man_n be_v besiege_v in_o a_o city_n have_v with_o he_o 7200_o 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by_o which_o multiply_v 85_o make_v 1214_o pound_n 2_o ∶_o 7_o example_n carseys_n at_o 54_o shilling_n the_o piece_n be_v put_v in_o barter_n at_o 3_o pound_n the_o piece_n how_o shall_v wool_n worth_a 24_o shilling_n the_o tod_n be_v set_v in_o barter_n to_o make_v the_o bargain_n equal_a if_o 54_o shilling_n be_v 60_o shilling_n what_o shall_v 24_o shilling_n make_v answer_v for_o more_o than_o 24_o shilling_n and_o less_o than_o 54_o so_o that_o 54_o be_v the_o divisor_n and_o multiply_v 24_o by_o 60_o make_v 1440_o which_o divide_v by_o 54_o make_v 26_o shilling_n 2_o ∶_o 3_o or_o 8_o penny_n if_o 54_o