Selected quad for the lemma: money_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
money_n	farthing_n	penny_n	shilling_n	1,765	5	11.4626	5	false

Text snippets containing the quad

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

upon_o exchange_n from_o place_n to_o place_n the_o exchange_n of_o one_o pound_n be_v give_v you_o desire_v to_o know_v what_o 100_o pound_n will_v amount_v unto_o place_v your_o rate_n or_o gain_n give_v in_o decimalis_fw-la by_o help_n of_o the_o table_n and_o then_o add_v of_o one_o two_o three_o or_o more_o cipher_n cut_v off_o your_o prime_a line_n you_o shall_v know_v your_o desire_n mark_v the_o denomination_n of_o your_o fraction_n if_o the_o least_o to_o the_o left_a hand_n be_v prime_n second_o three_o fourth_n fifthe_n cut_v off_o your_o prime_a line_n so_o many_o figure_n from_o the_o right_a hand_n 2._o example_n if_o one_o pound_n sterling_a be_v 1_o pound_n 14_o shilling_n 3_o penny_n flemish_n what_o be_v 100_o pound_n sterling_a worth_n place_n 1_o pound_n 14_o shilling_n 3_o penny_n in_o decimal_n make_v 17125_o fourth_n then_o because_o 100_o pound_n have_v 2_o cipher_n make_v 1712500_o then_o cut_v off_o 4_o figure_n to_o the_o right_a hand_n you_o shall_v find_v 171_o pound_n 5_o shilling_n for_o 100_o pound_n sterling_a to_o make_v as_o appear_v before_o if_o one_o ell_n of_o cambric_n cost_v 7_o shilling_n 6_o penny_n ●_o farthing_n what_o will_v 100_o ell_n cost_v at_o that_o rate_n place_n 7_o shilling_n 6_o penny_n 3_o farthing_n in_o decimal_n make_v 378125_o fixth_n and_o add_v two_o cipher_n for_o 100_o make_v 37812500_o from_o which_o cut_v off_o 6_o figure_n to_o the_o right_a hand_n make_v 37_o pound_n 16_o shilling_n 3_o penny_n for_o the_o sum_n that_o 100_o else_o will_v cost_v make_v 37_o l._n 16_o s._n 3_o d._n if_o one_o pound_n or_o piece_n cost_v 1_o pound_n 2_o shilling_n 3_o penny_n what_o will_v 1000_o piece_n cost_v set_a 1_o d._n 2_o s._n three_o penny_n in_o decimall_n make_v 11125_o fourth_n to_o the_o which_o add_v 3_o cipher_n because_o 1000_o have_v 3_o cipher_n and_o from_o the_o total_a cut_v off_o 4_o figure_n make_v 1112_o pound_n 10_o shilling_n as_o be_v in_o the_o 4_o example_n above_o if_o one_o ell_n of_o holland_n cost_v 3_o shilling_n 3_o penny_n what_o will_v 343_o ell_n cost_v multiply_v 343_o by_o 3_o shilling_n 3_o penny_n in_o decimall_n which_o be_v 1625_o fourth_n make_v 55_o pound_n 14_o shilling_n 9_o penny_n if_o one_o yard_n of_o velvet_n cost_v 15_o shilling_n 6_o penny_n what_o will_v 972_o yard_n cost_n find_v for_o 15_o shilling_n 75_o second_o then_o for_o 6_o penny_n find_v 25_o three_o total_a be_v 775_o three_o by_o which_o multiply_v 972_o make_v 753_o pound_n 6_o shilling_n as_o above_o in_o the_o six_o example_n if_o one_o yard_n of_o velvet_n cost_v 17_o s._n 7_o d._n 3_o q._n what_o will_v 857_o yard_n cost_n first_o find_v 17_o ●_o to_o be_v 85_o second_o then_o 7_o d._n 3_o q._n make_v 322916_o total_a be_v 8822916_o which_o multiply_v by_o 857_o make_v 756_o l._n 2_o s._n 5_o d._n 3_o q._n if_o one_o dollar_n be_v worth_a 4_o shilling_n 9_o penny_n what_o be_v 758_o dollar_n worth_a in_o sterling_a money_n multiply_v 4_o shilling_n 9_o penny_n which_o be_v 2375_o fourth_n by_o 758_o make_v 180_o pound_n 6_o penny_n as_o in_o the_o eight_o example_n above_o the_o price_n of_o any_o number_n of_o yard_n ell_n piece_n or_o pound_n give_v to_o find_v the_o price_n of_o a_o unite_v if_o the_o price_n of_o any_o number_n of_o yard_n ell_n piece_n or_o pound_n be_v give_v set_v they_o down_o in_o decimal_n add_v one_o two_o or_o more_o cipher_n if_o need_v require_v and_o divide_v that_o sum_n or_o price_n by_o the_o number_n of_o the_o yard_n else_o pound_n or_o piece_n and_o the_o quotient_n be_v the_o price_n of_o a_o unite_v in_o whole_a number_n prime_n second_o and_o three_o without_o reduction_n as_o shall_v appear_v by_o example_n follow_v and_o in_o this_o manner_n you_o may_v know_v what_o sum_n of_o money_n be_v lend_v if_o the_o principal_a and_o interest_n be_v give_v at_o any_o rate_n in_o the_o hundred_o or_o you_o may_v know_v if_o the_o rate_n of_o one_o pound_n exchange_n be_v give_v for_o any_o place_n you_o may_v know_v the_o value_n of_o 100_o of_o that_o coin_n in_o that_o money_n give_v and_o by_o this_o rule_n be_v to_o be_v abreviate_v almost_o all_o operation_n of_o arithmetic_n by_o find_v the_o value_n of_o a_o unite_v in_o any_o place_n desire_v if_o ●42_n else_o of_o cloth_n cost_v 22_o pound_n 4_o penny_n halfpenny_n what_o cost_v one_o ell_n at_o that_o rate_n divide_v 2201875_o fifthe_n by_o 542_o make_v 40625_o sixth_n or_o in_o coin_n 9_o penny_n 3_o farthing_n for_o the_o price_n one_o ell_n cost_n 1._o example_n if_o 345_o pound_n gain_v 76_o pound_n 12_o shilling_n what_o do_v one_o pound_n gain_v divide_v 76600000_o by_o 345_o pound_n make_v 222028_o six_o or_o in_o coin_n make_v 4_o shilling_n 5_o penny_n half_a penny_n almost_o that_o 1_o pound_n do_v gain_v as_o in_o the_o example_n follow_v 2._o example_n if_o 756_o pound_n 3_o quarter_n 24_o pound_n of_o sugar_n cost_v 4421_o pound_n 12_o shilling_n what_o do_v one_o pound_n weight_n cost_n account_v 112_o pound_n to_o the_o hundred_o reduce_v 756_o pound_n 3_o quarter_n 24_o pound_n into_o pound_n subtle_a account_v 112_o pound_n to_o the_o hundred_o make_v 84780_o ●_z then_o divide_v 4421_o pound_n 12_o shilling_n by_o 84780_o make_v 5215_o fifth_n or_o 12_o penny_n halfpenny_n one_o pound_n 3._o example_n if_o i_o sell_v 1000_o piece_n of_o cambric_n for_o 700_o pound_n how_o do_v i_o sell_v one_o piece_n divide_v 1000_o by_o 100_o make_v 1_o pound_n 42857_o fifthe_n 1_o pound_n 8_o shilling_n 6_o penny_n 3_o farthing_n as_o in_o the_o example_n follow_v 4._o example_n if_o one_o pound_n starling_n be_v 1_o pound_n 14_o shilling_n 3_o penny_n flemish_n what_o be_v one_o pound_n flemish_a worth_n divide_v one_o pound_n with_o cipher_n by_o 17125_o make_v 11_o shilling_n 8_o penny_n 1_o farthing_n almost_o 5._o example_n if_o 1_o l._n sterling_a be_v 1_o l._n 14_o s._n 7_o d._n ob_fw-la flemish_a what_o be_v 100_o l._n flemish_n worth_n in_o sterling_a money_n divide_v 100_o by_o 173125_o fifth_n which_o be_v 1_o l._n 14_o s._n 7_o d._n ob_fw-la in_o decimal_n make_v 57_o l._n 15_o s._n 3_o d._n 6._o example_n the_o golden_a rule_n in_o decimall_n if_o the_o number_n give_v be_v pound_n shilling_n and_o penny_n set_v they_o out_o in_o decimal_n and_o also_o your_o number_n of_o yard_n ell_n piece_n pound_n or_o any_o other_o number_n set_v they_o out_o also_o in_o decimal_n and_o then_o without_o reduction_n multiply_v the_o three_o number_n by_o the_o second_o and_o divide_v by_o the_o first_o according_a to_o the_o instruction_n of_o multiplication_n and_o division_n in_o the_o former_a part_n of_o this_o book_n and_o the_o votient_n will_v be_v the_o three_o number_n seek_v 1._o example_n if_o 34_o ell_n of_o canvas_n cost_v 1_o pound_n 4_o shilling_n what_o will_v 756_o ell_n cost_v at_o that_o rate_n multiply_v 756_o by_o 1_o pound_n 2_o prime_n make_v 9072_o prime_n which_o divide_v by_o 34_o add_v cipher_n make_v 266823_o four_o or_o in_o coin_n 26_o pound_n 13_o shilling_n 8_o penny_n example_n if_o 112_o pound_n of_o indigo_n cost_v 34_o pound_n 17_o shilling_n what_o cost_v 789_o pound_n subtle_a account_v 100_o pound_n to_o the_o hundred_o multiply_v 3485_o second_n by_o 789_o make_v 27496_o pound_n 65_o second_o which_o divide_v by_o 112_o pound_n make_v 245_o pound_n 5058_o fourth_n or_o 10_o shilling_n 1_o penny_n farthing_n example_n if_o 981_o ell_n of_o cloth_n cost_v 94_o pound_n 13_o shilling_n 6_o penny_n what_o cost_v 2943_o ell_n at_o that_o rate_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 will_v be_v the_o answer_n seek_v if_o 112_o pound_n of_o sugar_n cost_v 5_o pound_n 3_o shilling_n 9_o penny_n how_o many_o pound_n will_v 124_o pound_n buy_v at_o that_o rate_n divide_v 51875_o fourth_n by_o 112_o pound_n to_o find_v the_o price_n of_o 1_o pound_n make_v 46316_o sixth_n or_o in_o coin_n 1●_n d._n 1_o ∶_o 10_o of_o a_o penny_n almost_o for_o the_o price_n that_o one_o pound_n cost_v second_o divide_v 124_o pound_n by_o the_o price_n of_o one_o pound_n viz._n by_o by_o 46316_o sixth_n make_v 26773_o prime_n and_o so_o many_o pound_n he_o shall_v have_v for_o 124_o pound_n if_o one_o yard_n broad_a cloth_n cost_v 16_o shilling_n 9_o penny_n how_o many_o yard_n shall_v 56_o pound_n buy_v at_o that_o rate_n divide_v 56_o pound_n by_o 16_o shilling_n 9_o penny_n the_o price_n of_o one_o yard_n make_v 66_o yard_n 9_o ∶_o 10_o almost_o example_n if_o 7_o yard_n 1_o ∶_o 2_o of_o cloth_n cost_v 9_o shilling_n what_o will_v 8_o yard_n 1_o ∶_o 3_o of_o a_o yard_n cost_n

93_o pound_n 12_o shilling_n 6_o penny_n make_v the_o answer_n to_o be_v 94_o pound_n 10_o shilling_n 9_o penny_n and_o so_o here_o in_o stead_n of_o multiply_v 3120833_o sixth_n by_o 515_o and_o divide_v by_o 17_o i_o have_v save_v more_o than_o half_a the_o work_n example_n 3._o example_n if_o 7_o pound_n buy_v 100_o pound_n weight_n of_o sugar_n how_o many_o pound_n weight_n will_v 156_o buy_v i_o at_o that_o rate_n divide_v 156_o by_o 7_o make_v 22_o 2_o ∶_o 7_o by_o which_o multiply_v 100_o make_v 2228_o pound_n 4_o ∶_o 7_o 4._o example_n if_o 356_o piece_n of_o calico_n cost_v 300_o pound_n 15_o shilling_n how_o much_o will_v 917_o piece_n cost_v at_o that_o rate_n divide_v 917_o by_o 356_o make_v in_o the_o quotient_a 2_o therefore_o take_v the_o price_n give_v twice_o and_o there_o will_v remain_v after_o your_o division_n 205_o by_o which_o multiply_v 30075_o second_n make_v 6165375_o second_n which_o divide_v by_o 356_o make_v 173_o pound_n 18_o second_n or_o 173_o pound_n 3_o shilling_n 8_o penny_n to_o be_v add_v to_o the_o former_a sum_n 601_o pound_n 10_o shilling_n make_v 774_o pound_n 13_o shilling_n 8_o penny_n for_o the_o question_n the_o same_o question_n wrought_v without_o reduction_n in_o decimal_n if_o 356_o cost_n 30075_o second_n what_o 917_o multiply_v 30075_o 2._o by_o 917_o make_v 27578775_o second_n which_o divide_v by_o 356_o make_v 77468_o second_n or_o 774_o pound_n 13_o shilling_n 8_o penny_n as_o before_o the_o proof_n example_n 5._o example_n if_o 179_o pound_n of_o indigo_n cost_v 60_o pound_n 13_o shilling_n 5_o penny_n what_o will_v 716_o pound_n cost_n at_o the_o same_o rate_n divide_v 716_o by_o 179_o make_v 4_o in_o the_o quotient_a and_o nothing_o will_v remain_v wherefore_o i_o conclude_v that_o 4_o time_n 60l_o 13_o ●_o 5_o d._n which_o be_v 242l_o 13_o s._n 8_o d._n and_o be_v the_o answer_n to_o the_o question_n demand_v 6._o example_n if_o 36_o pound_n of_o clove_n cost_v 11_o pound_n 6_o shilling_n how_o many_o pound_n shall_v i_o have_v for_o 354l_o divide_v 113_o prime_n by_o 36_o make_v 31388_o fifth_n which_o multiply_v by_o 354_o cut_v of_o figure_n for_o the_o 5_o fraction_n make_v 111_o pound_n 11352_o fifthe_n or_o 3_o pound_n 2_o shilling_n 2_o penny_n 3_o farthing_n for_o the_o answer_n fellowship_n in_o decimal_n to_o work_v the_o rule_n of_o fellowship_n in_o decimal_n gather_v the_o whole_a number_n of_o all_o the_o money_n disburse_v into_o one_o sum_n and_o then_o divide_v the_o money_n gain_v or_o lose_v by_o that_o sum_n and_o multiply_v that_o quotient_a so_o find_v by_o each_o several_a partner_n stock_n disburse_v and_o the_o product_n will_v be_v each_o several_a man_n gain_n or_o loss_n 1._o example_n four_o merchant_n make_v a_o company_n a._n put_v in_o 60_o pound_n b._n 80_o pound_n c._n 120_o pound_n d._n 140_o pound_n and_o they_o gain_v 72_o pound_n the_o question_n be_v what_o part_n each_o merchant_n must_v have_v of_o the_o gain_n first_o the_o total_a sum_n of_o all_o their_o money_n disburse_v be_v 400_o pound_n wherefore_o according_a to_o the_o rule_n i_o divide_v 72_o pound_n add_v cipher_n unto_o it_o by_o 400_o and_o the_o quotient_n be_v 1_o prime_a 8_o second_o by_o which_o i_o multiply_v each_o several_a man_n stock_n disburse_v and_o i_o find_v a._n shall_v have_v 10_o pound_n 16_o shilling_n b._n 14_o pound_n 8_o shilling_n c._n 21_o pound_n 12_o shilling_n and_o d._n 25_o pound_n 4_o shilling_n total_a be_v 72_o pound_n as_o in_o the_o example_n example_n 2._o example_n four_o merchant_n make_v a_o company_n and_o set_v forth_o a_o ship_n to_o sea_n which_o cost_v they_o 3616_o pound_n 13_o shilling_n a._n must_v pay_v 1_o ∶_o 3_o of_o the_o money_n b._n 1_o ∶_o 4_o c._n 1_o ∶_o 5_o d._n 1_o ∶_o 6_o the_o question_n be_v what_o each_o man_n must_v pay_v of_o the_o say_a sum_n take_v a_o a_o number_n wherein_o the_o like_a part_n may_v be_v have_v which_o in_o the_o former_a book_n of_o vulgar_a arithmetic_n i_o find_v to_o be_v 60_o whereof_o 1_o ∶_o 3_o be_v 20_o and_o 1_o ∶_o 4_o be_v 15_o and_o 1_o ∶_o 5_o be_v 12_o and_o 1_o ∶_o 6_o be_v 10_o the_o total_a be_v but_o 57_o wherefore_o i_o divide_v 361665_o by_o 57_o and_o the_o quotient_n be_v 63-45_a second_n which_o i_o multiply_v by_o 20_o and_o i_o find_v a_o shall_v pay_v 1269_o pound_n then_o i_o multiply_v by_o 15_o and_o b._n shall_v pay_v 95175_o second_o and_o by_o 12_o and_o c._n shall_v pay_v 7614_o prime_n and_o by_o 10_o and_o d._n shall_v pay_v 6345_o prime_n the_o total_a be_v 361665_o second_n the_o proof_n of_o the_o work_n example_n 3._o example_n ●_o three_o merchant_n make_v a_o company_n a._n put_v in_o 566_o prime_n b_o put_v in_o 398_o prime_n c._n put_v in_o 1204_o prime_n and_o they_o gain_v 58_o pound_n 16_o shilling_n or_o 58_o pound_n 8_o prime_n what_o must_v each_o man_n have_v of_o the_o gain_n first_o the_o total_a disburse_v be_v 216_o pound_n 4_o prime_n by_o the_o which_o i_o divide_v 58_o pound_n 8_o prime_n &_o the_o quotient_n be_v 27197_o fifthe_n for_o one_o pound_n gain_n which_o i_o multiply_v by_o each_o several_a man_n money_n disburse_v and_o i_o find_v a._n shall_v have_v 15_o pound_n 7_o shilling_n 10_o penny_n half_a penny_n b._n 10_o pound_n 14_o shilling_n 3_o penny_n 3_o farthing_n c._n shall_v have_v 32_o pound_n 13_o shilling_n 9_o penny_n 3_o farthing_n the_o total_a be_v 58_o pound_n 16_o shilling_n the_o proof_n example_n 4._o example_n three_o captain_n agree_v together_o to_o divide_v a_o spoil_n or_o booty_n which_o they_o have_v take_v contain_v 7851_o li_n in_o this_o sort_n a._n be_v to_o have_v 1_o ∶_o 2_o b._n 1_o ∶_o 3_o c._n 1_o ∶_o 4_o the_o question_n be_v what_o each_o man_n share_n shall_v be_v find_v a_o number_n which_o have_v such_o part_n in_o it_o viz._n 12_o whereof_o 1_o ∶_o 2_o be_v 6_o 1_o ∶_o 3_o be_v 4_o and_o 1_o ∶_o 4_o be_v 3_o which_o in_o one_o sum_n make_v 13_o therefore_o divide_v 7851_o add_v cypher_n to_o it_o by_o 13_o and_o the_o quotient_n will_v be_v 603_o pound_n 92307_o fifthe_n which_o multiply_v by_o 6_o 4_o and_o 3_o and_o you_o shall_v find_v a._n shall_v have_v 3623_o pound_n 5384_o fifth'_n b._n shall_v have_v 2415_o pound_n 69228_o fifth_n c._n shall_v have_v 1811_o pound_n 76921_o fifth_n the_o totall_n be_v 7850_o pound_n 99991_o fifth_n which_o do_v want_v but_o 1_o four_o of_o 7851_o pound_n which_o in_o value_n be_v but_o 3_o 125_o part_n of_o 1_o penny_n and_o this_o example_n be_v to_o be_v wrought_v without_o the_o golden_a rule_n behold_v the_o proof_n of_o the_o work_n example_n the_o same_o example_n wrought_v another_o way_n after_o you_o have_v divide_v 7851_o pound_n by_o 13_o find_v in_o your_o decimall_n table_n what_o the_o quotient_a be_v in_o coin_n make_v 603_o pound_n 18_o shilling_n 5_o penny_n ob_fw-la which_o multiply_v by_o 6_o 4_o and_o 3_o and_o their_o total_a in_o one_o sum_n be_v the_o answer_n as_o before_o these_o three_o several_a product_n add_v into_o one_o sum_n make_v 7850_o l._n 19_o s._n 11_o d._n want_v but_o one_o penny_n in_o the_o whole_a sum_n which_o be_v the_o defect_n of_o the_o decimal_n which_o can_v be_v exact_o set_v out_o in_o coin_n but_o it_o will_v serve_v to_o answer_v a_o question_n of_o one_o million_o with_o one_o penny_n error_n at_o the_o most_o 5._o example_n three_o man_n make_v a_o stock_n together_o and_o they_o gain_v 244_o pound_n 8_o shilling_n a._n put_v in_o 315_o pound_n 7_o month_n b._n 408_o pound_n 10_o month_n c._n 500_o pound_n 3_o month_n now_o the_o question_n be_v what_o each_o man_n must_v have_v of_o the_o gain_n first_o multiply_v each_o man_n stock_n by_o his_o time_n and_o gather_v all_o the_o total_o into_o one_o sum_n and_o they_o make_v 7785_o by_o which_o divide_v your_o gain_n 244_o pound_n 4_o prime_n and_o the_o quotient_n will_v be_v 31393_o sixth_n which_o multiply_v by_o the_o several_a product_n of_o each_o man_n money_n and_o time_n and_o the_o total_a of_o each_o several_a product_n be_v the_o sum_n desire_v for_o each_o man_n part_n of_o the_o gain_n example_n position_n in_o decimal_n the_o merchant_n buy_v a_o parcel_n of_o linen_n cloth_n cost_v they_o 757_o pound_n 17_o shilling_n whereof_o a._n must_v pay_v 1_o ∶_o 4_o b._n 1_o ∶_o 5_o c._n 1_o ∶_o 8_o what_o must_v each_o man_n pay_v of_o this_o sum_n i_o take_v 20_o for_o a_o number_n wherein_o i_o can_v have_v those_o part_n viz._n 1_o ∶_o 4_o of_o 20_o be_v 5_o and_o 1_o ∶_o 5_o of_o 20_o be_v 4_o and_o 1_o ∶_o 8_o of_o 20_o be_v 2_o pound_n 5_o prime_n

or_o 2_o one_o half_a their_o total_a be_v 11_o pound_n 5_o prime_n or_o 11_o 1_o ∶_o 2_o by_o which_o i_o divide_v 757_o pound_n 85_o second_n and_o the_o quotient_n be_v 65_o l._n 9_o prime_n which_o i_o multiply_v by_o 5_o for_o a._n make_v 329_o pound_n 10_o shilling_n b._n 263_o pound_n 12_o shilling_n c._n 164_o pound_n 15_o shilling_n the_o total_a be_v 757_o pound_n 85_o second_n 1._o example_n 2._o example_n a_o ship-carpenter_n buy_v 300_o timber_n tree_n of_o a_o gentleman_n and_o be_v to_o pay_v for_o the_o first_o 100_o a_o sum_n of_o money_n unknown_a for_o the_o second_o twice_o asmuch_o as_o for_o the_o first_o 100_o and_o for_o the_o three_o 100_o of_o tree_n he_o be_v to_o pay_v thrice_o asmuch_o as_o he_o pay_v for_o the_o first_o and_o the_o whole_a 100l_n of_o tree_n cost_v he_o 7●4_n pound_n 12_o shilling_n the_o question_n be_v what_o each_o hundred_o cost_v he_o several_o to_o work_v this_o question_n or_o any_o other_o of_o like_a nature_n suppose_v a_o unite_v or_o one_o pound_n for_o the_o first_o 100_o than_o he_o must_v pay_v 2_o pound_n for_o the_o second_o 100_o which_o be_v twice_o as_o much_o and_o then_o also_o he_o must_v pay_v 3_o pound_n for_o the_o three_o hundred_o which_o be_v three_o time_n as_o much_o as_o the_o first_o but_o yet_o 1_o pound_n 2_o pound_n and_o 3_o pound_n make_v but_o 6_o pound_n and_o it_o shall_v be_v 724_o pound_n 12_o shilling_n so_o that_o now_o whereas_o in_o the_o former_a book_n i_o teach_v you_o to_o resort_v to_o the_o golden_a rule_n for_o the_o answer_n say_v if_o 6_o pound_n cóme_n of_o my_o position_n 1_o pound_n of_o what_o come_v 724_o pound_n 12_o shilling_n now_o always_o suppose_v a_o unite_z for_o your_o first_o number_n you_o shall_v save_v multiplication_n and_o so_o divide_v of_o 724_o pound_n 6_o prime_n by_o 6_o i_o find_v the_o first_o 100_o of_o tree_n cost_v he_o 120_o pound_n 15_o shilling_n 4_o penny_n and_o the_o second_o 100_o cost_v he_o 241_o pound_n 10_o shilling_n 8_o penny_n and_o the_o three_o 100_o cost_v he_o 362_o pound_n 5_o shilling_n the_o total_a make_v 724_o pound_n 12_o shilling_n behold_v the_o work_n example_n 3._o example_n four_o merchant_n consent_v to_o build_v a_o ship_n cost_v they_o 541_o pound_n 16_o shilling_n whereof_o a._n must_v pay_v a_o certain_a sum_n of_o money_n unknown_a b._n must_v pay_v twice_o as_o much_o as_o a_o c._n must_v pay_v twice_o as_o much_o as_o b_o and_o d._n must_v pay_v as_o much_o as_o all_o the_o other_o three_o viz._n as_o a._n b._n and_o c._n now_o the_o question_n be_v what_o each_o man_n must_v pay_v of_o this_o sum_n i_o suppose_v a._n must_v pay_v 1_o pound_n than_o b._n must_v pay_v 2_o pound_n which_o be_v twice_o as_o much_o as_o a._n do_v pay_v and_o c._n must_v pay_v 6_o pound_n which_o be_v thrice_o as_o much_o as_o b._n do_v pay_v and_o then_o d._n must_v pay_v 9_o pound_n which_o be_v as_o much_o as_o all_o the_o other_o three_o do_v pay_v but_o their_o total_a be_v but_o 18_o pound_n and_o it_o shall_v be_v 541_o pound_n 16_o shilling_n wherefore_o i_o divide_v 541_o pound_n 8_o prime_n by_o 18_o and_o the_o quotient_n be_v 30_o pound_n 1_o prime_a or_o 2_o shilling_n for_o the_o first_o part_n then_o b._n must_v pay_v 60_o pound_n 4_o shilling_n c._n 180_o pound_n 12_o shilling_n and_o d._n 270_o pound_n 18_o shilling_n their_o total_a make_v 541_o pound_n 8_o prime_n behold_v the_o work_n example_n 4._o example_n a_o cistern_n of_o water_n contain_v 600_o gallon_n be_v fill_v with_o water_n and_o have_v 4_o several_a cock_n to_o empty_a the_o same_o whereof_o if_o they_o be_v all_o set_v open_a at_o once_o the_o cistern_n will_v be_v empty_a in_o 24_o hour_n now_o the_o second_o cock_n will_v avoid_v twice_o as_o much_o as_o the_o first_o cock_n in_o 24_o hour_n and_o the_o three_o will_v avoid_v three_o time_n as_o much_o as_o the_o first_o and_o the_o four_o cock_n 5_o time_n as_o much_o as_o the_o first_o the_o question_n be_v how_o many_o gallon_n each_o cock_n do_v avoid_v in_o 24_o hour_n of_o the_o say_v 600_o gallon_n i_o suppose_v the_o first_o cock_n will_v avoid_v one_o gallon_n than_o the_o second_o must_v avoid_v 2_o and_o the_o three_o 3_o and_o the_o four_o cock_n 5_o but_o yet_o they_o be_v but_o a_o 11_o gallon_n and_o they_o shall_v be_v 600_o gallon_n wherefore_o divide_v of_o 600_o by_o 11_o the_o quotient_n be_v 54_o gallon_n and_o 6_o ∶_o 11_o of_o a_o gallon_n for_o the_o first_o cock_n behold_v the_o work_n in_o the_o example_n follow_v example_n of_o gain_n and_o loss_n in_o decimal_n if_o a_o broad_a cloth_n 28_o yard_n long_o be_v sell_v for_o 14_o shilling_n a_o yard_n and_o the_o seller_n do_v gain_n 10_o pound_n in_o the_o 100_o ready_a money_n what_o cost_v that_o broad_a cloth_n first_o by_o practice_n find_v the_o price_n of_o the_o 28_o yard_n at_o 14_o shilling_n a_o yard_n make_v 19_o pound_n 6_o prime_n or_o 19_o pound_n 12_o shilling_n divide_v 19_o pound_n 6_o prime_n by_o 110_o pound_n make_v 17_o pound_n 81818_o fifthe_n or_o in_o coin_n 17_o pound_n 16_o shilling_n 4_o penny_n 3_o farthing_n 1._o example_n second_o if_o 28_o yard_n cost_v 17_o pound_n 81818_o fifthe_n what_o do_v one_o yard_n cost_v at_o that_o rate_n divide_v 17_o pound_n 81818_o fifthe_n by_o 28_o yard_n and_o the_o quotient_n will_v be_v 63636_o or_o in_o coin_n 12_o shilling_n 8_o penny_n 3_o farthing_n for_o the_o price_n that_o one_o yard_n cost_n example_n three_o for_o the_o proof_n of_o this_o work_n say_v if_o one_o yard_n cost_v 63636_o fifth_n how_o may_v i_o sell_v it_o to_o gain_v 10_o pound_n in_o the_o hundred_o ready_a money_n take_v the_o ten_o part_n of_o 63636_o fifth_n make_v 63636_o sixth_n which_o add_v into_o one_o totall_n make_v 69999_o fifthe_n which_o do_v want_v but_o one_o five_o of_o 7_o prime●_n or_o 14_o shilling_n which_o prove_v all_o the_o former_a work_n to_o be_v true_a example_n 2_o example_n a_o merchant_n do_v deliver_v money_n at_o interest_n for_o 9_o month_n after_o the_o rate_n of_o 12_o pound_n in_o the_o hundred_o for_o 12_o month_n simple_a interest_n and_o at_o the_o end_n of_o 9_o month_n do_v receive_v for_o interest_n 87_o pound_n the_o question_n be_v what_o be_v the_o sum_n lend_v answer_v because_o the_o interest_n of_o 9_o month_n at_o 12_o pound_n in_o the_o hundred_o be_v 9_o pound_n divide_v 8700000_o by_o 9_o pound_n and_o the_o quotient_n be_v 966_o pound_n 6666_o fourth_n or_o 966_o pound_n 13_o shilling_n 4_o penny_n the_o sum_n lend_v example_n 3._o example_n if_o 13_o piece_n of_o canvas_n cost_v 17_o pound_n 12_o shilling_n how_o may_v i_o sell_v they_o to_o gain_v 8_o pound_n in_o the_o hundred_o multiply_v 17_o pound_n 6_o prime_n by_o 8_o add_v two_o cypher_n make_v for_o 19_o pound_n 8_o three_o or_o 19_o pound_n 2_o penny_n almost_o the_o proof_n of_o the_o former_a example_n if_o 17_o pound_n 12_o shilling_n gain_v 1_o pound_n 8_o shilling_n 2d_o what_o will_v 100_o pound_n gain_v at_o that_o rate_n multiply_v 1_o pound_n 8_o shilling_n 2_o penny_n or_o in_o decimal_n 1_o pound_n 408_o three_o by_o 100_o make_v 140_o pound_n 800_o three_o which_o divide_v by_o 17_o pound_n 6_o prime_n make_v 8_o li._n for_o the_o rate_n that_o 100_o pound_n will_v gain_v which_o show_v the_o former_a work_n to_o be_v true_o wrought_v example_n 4._o example_n if_o in_o one_o ell_n of_o cloth_n sell_v for_o 3_o shilling_n there_o be_v gain_v after_o the_o rate_n of_o 12_o pound_n in_o the_o hundred_o for_o 12_o month_n how_o shall_v that_o ell_n have_v be_v sell_v to_o gain_v 17_o pound_n in_o the_o hundred_o for_o 12_o month_n multiply_v 17_o pound_n by_o 3_o shilling_n which_o be_v 1_o prime_a 5_o second_o and_o divide_v the_o product_n by_o 12_o make_v 2125_o fourth_n or_o in_o coin_n 4_o shilling_n 3_o penny_n and_o so_o much_o must_v it_o have_v be_v sell_v for_o to_o gain_v 17_o pound_n in_o the_o hundred_o example_n second_o if_o 3_o shilling_n give_v 12_o pound_n what_o will_v 4_o shilling_n 3_o penny_n give_v multiply_v 2125_o fourth_n by_o 12_o and_o divide_v by_o 15_o second_o and_o the_o quotient_n be_v 17_o pound_n the_o proof_n of_o the_o last_o example_n example_n 5._o example_n a_o merchant_n sell_v 24_o clothes_n which_o cost_v he_o 342_o pound_n wherein_o he_o lose_v after_o the_o rate_n of_o 10_o pound_n in_o the_o hundred_o and_o take_v in_o exchange_n 560_o piece_n of_o raisin_n at_o 24_o shilling_n the_o piece_n wherein_o he_o gain_v 10_o pound_n in_o the_o hundred_o ready_a money_n now_o the_o question_n be_v what_o his_o gain_n

or_o loss_n be_v and_o what_o sum_n of_o money_n he_o be_v to_o pay_v for_o the_o raisin_n first_o 560_o piece_n of_o raisin_n at_o 24_o shilling_n a_o piece_n be_v 672_o pound_n from_o which_o subtract_v 342_o pound_n lea●es_v 330_o pound_n to_o pay_v for_o the_o raisin_n second_o 672_o pound_n at_o 10_o pound_n in_o the_o hundred_o be_v 67_o pound_n 4_o shilling_n for_o his_o gain_n by_o the_o raisin_n three_o 342_o pound_n less_o 10_o in_o the_o hundred_o be_v 34_o pound_n 4_o shilling_n to_o be_v deduct_v from_o 342_o pound_n and_o then_o take_v 34_o pound_n 4_o shilling_n from_o 67_o pound_n 4_o shilling_n leave_v his_o gain_n more_o than_o his_o loss_n to_o be_v 33_o pound_n example_n 6._o example_n a_o merchant_n receive_v for_o principal_a and_o interest_n 352_o pound_n wherein_o he_o gain_v 9_o pound_n in_o the_o hundred_o for_o one_o year_n now_o the_o question_n be_v what_o be_v the_o sum_n of_o money_n lend_v divide_v 35200000_o by_o 109_o pound_n make_v 322_o pound_n 9357_o fourth_n o●_n 322_o pound_n 18_o shilling_n 8_o penny_n halfpenny_n for_o the_o sum_n le●t_o 6._o example_n 7._o example_n a_o merchant_n have_v owe_v unto_o he_o 540_o pound_n to_o be_v pay_v at_o the_o end_n of_o three_o year_n now_o his_o debtor_n will_v pay_v he_o ready_a money_n if_o he_o will_v abate_v he_o 9_o pound_n in_o the_o hundred_o divide_v 540_o pound_n with_o cipher_n by_o 109_o three_o time_n one_o after_o the_o other_o and_o the_o three_o quotient_n will_v be_v the_o sum_n that_o he_o shall_v pay_v in_o ready_a money_n abate_v 9_o pound_n in_o the_o hundred_o interest_n upon_o interest_n behold_v the_o work_n follow_v 7_o example_n the_o proof_n be_v make_v by_o multiply_v the_o last_o quotient_n by_o 9_o and_o that_o product_v again_o by_o 9_o and_o three_o again_o by_o 9_o make_v 540_o pound_n want_v but_o one_o five_o which_o be_v but_o 3_o ∶_o 1750_o part_n of_o 1_o penny_n or_o 6_o ∶_o 875_o part_n of_o one_o farthing_n 8._o example_n a_o merchant_n have_v owe_v unto_o he_o 632_o pound_n to_o be_v pay_v at_o the_o end_n of_o 12_o month_n now_o his_o debtor_n will_v pay_v he_o ready_a money_n if_o he_o will_v abate_v he_o 12_o pound_n in_o the_o hundred_o per_fw-la annum_fw-la divide_v 632_o by_o 112_o pound_n and_o the_o quotient_n will_v be_v the_o sum_n of_o money_n that_o will_v discharge_v the_o debt_n abate_v 12_o pound_n in_o the_o hundred_o example_n 9_o example_n 324_o pound_n be_v receive_v for_o interest_n money_n lend_v a_o merchant_n adventurer_n at_o 17_o pound_n in_o the_o hundred_o one_o year_n what_o be_v the_o sum_n lend_v answer_v divide_v 32400_o by_o 17_o make_v 1900_o pound_n and_o 1_o ∶_o 17_o of_o a_o pound_n 10._o example_n if_o 358_o ell_n of_o holland_n cast_v 124_o pound_n 16_o shilling_n how_o shall_v it_o be_v sell_v a_o ell_n to_o gain_v 12_o pound_n in_o the_o hundred_o ready_a money_n first_o multiply_v 124_o pound_n 8_o prime_n by_o 12_o add_v two_o cypher_n make_v 139_o pound_n 776_o or_o in_o coin_n 139_o pound_n 15_o shilling_n 6_o penny_n second_o divide_v 139_o pound_n 776_o by_o 358_o make_v 3905_o fourth_n or_o 7_o shilling_n 9_o penny_n 3_o farthing_n for_o the_o price_n to_o sell_v one_o ell_n to_o gain_v 12_o pound_n in_o the_o hundred_o example_n 11._o example_n if_o one_o ell_n of_o cloth_n cost_v 18_o penny_n how_o shall_v i_o sell_v 358_o ell_n to_o gain_v 7_o pound_n 10_o shilling_n by_o the_o bargain_n and_o at_o what_o rate_n in_o the_o hundred_o do_v i_o gain_v first_o 358_o ell_n at_o 18_o penny_n a_o ell_n make_v 26_o pound_n 17_o shilling_n to_o the_o which_o add_v 7_o pound_n 10_o shilling_n the_o gain_n make_v 34_o pound_n 7_o shilling_n for_o to_o sell_v 358_o ell_n to_o gain_v 7_o pound_n 10_o shilling_n by_o the_o bargain_n second_o divide_v 7_o pound_n 500000_o sixth_n by_o 26_o pound_n 85_o second_n and_o the_o quotient_n be_v 27_o pound_n 9346_o fourth_n or_o 27_o pound_n 18_o shilling_n 8_o penny_n farthing_n which_o be_v the_o rate_n gain_v by_o the_o 100_o pound_n of_o money_n example_n 12._o example_n how_o much_o indicoe_n of_o 6_o shilling_n 3_o penny_n a_o pound_n will_v pay_v for_o 73_o broad_a clothes_n at_o 16_o pound_n one_o cloth_n and_o to_o pay_v 60_o pound_n in_o present_a money_n first_o 73_o broad_a clothes_n at_o 16_o pound_n a_o cloth_n make_v 1168_o pound_n from_o which_o subtract_v 60_o pound_n there_o will_v remain_v 1108_o pound_n which_o divide_v by_o 6_o shilling_n 3_o penny_n or_o 3125_o fourth_n and_o the_o quotient_n be_v 3545_o pound_n 9_o ∶_o 10_o of_o one_o pound_n and_o so_o much_o must_v he_o give_v of_o indicoe_n for_o the_o clothes_n example_n 13._o example_n how_o many_o pound_n of_o clove_n at_o 6_o shilling_n a_o pound_n and_o small_a cinnamon_n of_o 3_o shilling_n a_o pound_n must_v be_v give_v for_o 36_o carseye_n at_o 4_o pound_n 3_o shilling_n a_o piece_n to_o have_v of_o each_o a_o like_a number_n of_o pound_n answer_n 36_o carsey_n at_o 4_o pound_n 3_o shilling_n a_o piece_n make_v 149_o pound_n 8_o shilling_n which_o divide_v by_o the_o price_n of_o both_o viz._n 9_o shilling_n make_v 332_o pound_n of_o each_o sort_n the_o proof_n 332_o pound_n of_o clove_n at_o 6_o shilling_n a_o pound_n make_v 99_o pound_n 12_o shilling_n then_o 332_o pound_n of_o cinnamon_n at_o 3_o shilling_n a_o pound_n make_v 49_o pound_n 16_o shilling_n the_o total_a be_v 149_o pound_n 8_o shilling_n the_o give_a price_n of_o the_o 36_o carsey_n example_n 14._o example_n of_o what_o principal_a come_v 1000_o pound_n principal_a and_o interest_n at_o compound_a interest_n in_o three_o year_n at_o 6_o pound_n in_o the_o hundred_o divide_v 1000_o pound_n three_o several_a time_n by_o 106_o make_v 839_o pound_n 61_o second_n or_o 839_o pound_n 12_o shilling_n 3_o penny_n almost_o which_o be_v the_o sum_n lend_v at_o first_o example_n 15._o example_n if_o 34_o tun_n of_o wine_n cost_v 544_o pound_n how_o may_v a_o man_n sell_v a_o tun_n to_o gain_v 12_o pound_n upon_o the_o hundred_o ready_a money_n first_o find_v the_o price_n of_o one_o tun_n divide_v 544_o by_o 34_o make_v 16_o pound_n for_o the_o price_n of_o one_o tun_n which_o it_o cost_v then_o multiply_v 1600_o by_o 12_o pound_n make_v 17_o pound_n 92_o second_n or_o 17_o pound_n 18_o shilling_n 4_o penny_n 4_o ∶_o 5_o of_o a_o penny_n for_o the_o price_n to_o sell_v one_o tun_n of_o that_o wine_n to_o gain_v 12_o pound_n upon_o the_o 100_o pound_n how_o to_o work_v gain_n and_o loss_n in_o penny_n and_o part_n of_o penny_n or_o farthsngs_n set_a out_o your_o number_n of_o pound_n shilling_n penny_n and_o farthing_n in_o penny_n and_o in_o ten_o of_o one_o penny_n and_o for_o one_o farthing_n set_v out_o 2_o prime_n 5_o second_n which_o be_v one_o four_o of_o a_o penny_n and_o for_o two_o farthing_n set_v out_o five_o prime_n which_o be_v one_o half_a penny_n and_o for_o three_o farthing_n set_v down_o 7_o prime_n 5_o second_n which_o be_v three_o quarter_n of_o one_o penny_n and_o then_o they_o be_v apt_a for_o decimall_n operation_n both_o for_o multiplication_n division_n or_o any_o other_o work_n of_o arithmetic_n without_o reduce_v they_o into_o farthing_n and_o there_o will_v be_v a_o great_a deal_n of_o labour_n save_v in_o these_o kind_n of_o operation_n as_o shall_v appear_v afterward_o by_o the_o example_n follow_v 1._o example_n what_o be_v the_o interest_n and_o principal_n of_o 100_o pound_n put_v forth_o at_o 10_o pound_n in_o the_o 100_o compound_v interest_n for_o the_o space_n of_o 7_o year_n to_o be_v all_o receive_v at_o the_o end_n of_o the_o term_n first_o put_v your_o 100_o pound_n into_o penny_n maker_n 24000_o penny_n then_o work_v as_o in_o this_o example_n follow_v and_o you_o shall_v find_v it_o will_v amount_v unto_o 46769_o penny_n and_o 1_o ∶_o 5_o of_o one_o penny_n which_o divide_v by_o 240_o penny_n make_v 194_o pound_n 17_o shilling_n 5_o penny_n 1_o ∶_o 5_o of_o a_o penny_n which_o be_v the_o sum_n that_o 100_o pound_n will_v amount_v unto_o at_o interest_n upon_o interest_n in_o 7_o year_n at_o 10_o pound_n in_o the_o hundred_o example_n 2_o example_n a_o merchant_n deliver_v 358_o pound_n at_o interest_n for_o three_o year_n for_o 8_o pound_n in_o the_o hundred_o compound_v interest_n the_o question_n be_v what_o it_o will_v amount_v unto_o at_o the_o end_n of_o the_o term_n put_v your_o money_n into_o penny_n make_v 85920_o penny_n which_o multiply_v by_o 8_o add_v 2_o cipher_n and_o work_v for_o three_o year_n as_o in_o the_o example_n follow_v example_n the_o proof_n of_o the_o former_a example_n in_o decimal_n a_o certain_a merchant_n receive_v for_o principal_a and_o

interest_n upon_o interest_n 450_o pound_n 19_o shilling_n 6_o penny_n which_o be_v for_o money_n lend_v at_o 8_o pound_n in_o the_o hundred_o for_o three_o year_n now_o the_o question_n be_v what_o be_v the_o sum_n lend_v place_n 450_o pound_n 19_o shilling_n 6_o penny_n in_o decimal_n and_o you_o will_v find_v your_o three_o quotient_n will_v be_v 358_o pound_n want_v some_o few_o second_n which_o prove_v the_o work_n good_a 3._o example_n a_o merchant_n lend_v 112_o pound_n for_o 6_o month_n at_o 17_o pound_n in_o the_o hundred_o for_o 12_o month_n the_o question_n be_v what_o he_o shall_v receive_v put_v your_o money_n into_o penny_n make_v 26880_o penny_n mark_v out_o your_o prime_a line_n as_o in_o the_o former_a example_n and_o add_v two_o cypher_n then_o multiply_v by_o 17_o and_o take_v half_a that_o product_n for_o 6_o month_n interest_n and_o add_v into_o the_o principal_a and_o the_o total_a be_v the_o sum_n of_o penny_n which_o he_o shall_v receive_v for_o principal_a and_o interest_n at_o 6_o month_n end_n example_n make_v 121_o li._n 10_o s._n 4_o d._n 4_o ∶_o 5_o of_o a_o d._n 4._o example_n if_o a_o pound_n of_o cinnamon_n cost_v 4_o shilling_n ready_a money_n how_o may_v it_o be_v sell_v to_o gain_v 12_o pound_n in_o the_o hundred_o to_o give_v 6_o month_n time_n set_a your_o 4_o shilling_n in_o penny_n make_v 48_o penny_n then_o add_v 2_o cipher_n and_o multiply_v by_o half_a the_o interest_n and_o add_v they_o into_o one_o sum_n and_o the_o product_n will_v be_v 50_o pound_n 88_o second_n or_o 4_o shilling_n 2_o penny_n 2_o ∶_o 25_o of_o one_o penny_n for_o the_o price_n to_o sell_v one_o pound_n to_o gain_v 12_o pound_n in_o the_o hundred_o for_o 6_o month_n time_n 4._o example_n make_v 50_o penny_n 9_o ∶_o 10_o of_o a_o penny_n almost_o 5._o example_n if_o 112_o pound_n weight_n of_o clou●s_n cost_v 33_o pound_n 12_o shilling_n how_o may_v i_o sell_v they_o to_o gain_v 14_o pound_n in_o the_o hundred_o and_o give_v 4_o month_n time_n first_o set_v down_o 33_o pound_n 6_o prime_n then_o add_v 2_o cipher_n and_o multiply_v by_o 14_o makes_z 4_o pound_n 704_o three_o of_o which_o take_v the_o three_o part_n because_o 4_o month_n be_v the_o three_o part_n of_o one_o year_n which_o be_v 1_o pound_n 568_o three_o which_o add_v into_o one_o total_a make_v 35_o pound_n 3_o shilling_n 4_o penny_n halfpenny_n for_o the_o price_n to_o sell_v 112_o pound_n to_o give_v 4_o month_n time_n and_o to_o gain_v 14_o pound_n in_o the_o 100_o in_o 12_o month_n 5._o example_n 6._o example_n if_o i_o gain_v 8_o pound_n 15_o shilling_n in_o 100_o piece_n of_o linen_n cloth_n what_o do_v i_o gain_v in_o the_o 100_o at_o that_o rate_n when_o as_o the_o 100_o piece_n be_v sell_v for_o 52_o pound_n 10_o shilling_n first_o subtract_v 8_o pound_n 15_o shilling_n from_o 52_o l._n 10_o s._n and_o there_o will_v remain_v 43_o l._n 15_o s._n then_o say_v if_o 43_o pound_n 15_o shilling_n gain_v 8_o pound_n 15_o shilling_n what_o will_v 100_o pound_n gain_v divide_v 8750000_o by_o 43_o pound_n 15_o shilling_n or_o 43_o pound_n 75_o second_n and_o the_o quotient_n will_v be_v 17_o l._n 14_o s._n 4_o d._n in_o the_o 100_o 7._o example_n if_o in_o 112_o pound_n weight_n of_o sugar_n sell_v for_o 7_o pound_n 12_o shilling_n ready_a money_n there_o be_v gain_v 11_o pound_n in_o the_o hundred_o what_o do_v one_o pound_n cost_v at_o first_o penny_n first_o the_z 7_o pound_n 6000000_o by_o 111_o pound_n which_o be_v the_o principal_a and_o interest_n give_v and_o the_o quotient_n be_v 6_o pound_n 84684_o fifthe_n which_o 112_o pound_n cost_v ready_a money_n second_o divide_v that_o quotient_a by_o 112_o pound_n make_v 61132_o sixth_n or_o 14_o penny_n 3_o farthing_n for_o the_o price_n that_o one_o pound_n cost_v at_o first_o penny_n 8._o example_n if_o 300_o piece_n of_o lawn_n cost_v 321_o pound_n 4_o shilling_n how_o may_v i_o sell_v they_o to_o loose_v 15_o pound_n in_o the_o hundred_o first_o take_v the_o rate_n what_o one_o cost_n by_o divide_v 321_o pound_n 2_o prime_n by_o 300_o make_v 1_o pound_n 0706666_o seventh_n or_o 1_o pound_n 1_o shilling_n 5_o penny_n almost_o for_o the_o price_n that_o one_o piece_n cost_n second_o take_v the_o interest_n of_o 10706666_o seventh_n at_o 15_o pound_n in_o the_o 100_o and_o subtract_v it_o and_o then_o make_v 91006_o sixth_n or_o 18_o shilling_n 2_o penny_n 2_o ∶_o 5_o of_o a_o penny_n for_o the_o price_n to_o sell_v one_o piece_n to_o lo●osse_v 15_o pound_n in_o the_o 100_o ready_a money_n three_o for_o the_o proof_n of_o this_o work_n say_v if_o one_o piece_n cost_v 910067_o sixth_n what_o will_v 300_o piece_n cost_v at_o that_o rate_n multiply_v 910067_o sixth_n by_o 300_o and_o cut_v off_o 6_o figure_n to_o the_o right_a hand_n make_v 273_o pound_n 5_o penny_n almost_o for_o the_o sum_n receive_v for_o 300_o piece_n to_o loose_v 15_o pound_n in_o the_o 100_o four_o for_o a_o second_o proof_n take_v the_o interest_n of_o 321_o pound_n 2_o prime_n at_o 15_o pound_n in_o the_o hundred_o loss_n and_o deduct_v it_o from_o 321_o pound_n 2_o prime_n and_o there_o will_v remain_v 273_o pound_n 5_o penny_n almost_o which_o do_v prove_v all_o the_o other_o work_v to_o be_v true_o wrought_v example_n 9_o example_n if_o in_o one_o ell_n of_o cloth_n sell_v for_o 3_o shilling_n 2_o penny_n halfpenny_n there_o be_v gain_v 10_o pound_n in_o the_o hundred_o ready_a money_n what_o do_v that_o ell_n cost_n answer_v set_v 3_o shilling_n 2_o penny_n ob_fw-la in_o decimal_n make_v 38_o penny_n 5_o prime_n then_o divide_v 38_o penny_n 5000_o fourth_n by_o 110_o pound_n make_v 35_o penny_n the_o price_n that_o one_o ell_n cost_n example_n 10._o example_n if_o in_o one_o ell_n of_o cloth_n sell_v for_o 35_o penny_n 19_o second_n there_o be_v gain_v 7_o pound_n in_o the_o hundred_o ready_a money_n what_o do_v that_o ell_n cost_n when_o there_o be_v 6_o month_n time_n give_v divide_v 35_o pound_n 1900_o fourth_n by_o half_a the_o interest_n add_v one_o 100_o which_o be_v 103_o penny_n 5_o prime_n and_o the_o quotient_n be_v 34_o penny_n the_o price_n that_o the_o ell_n cost_n 11._o example_n a_o merchant_n lend_v money_n at_o 10_o pound_n in_o the_o hundred_o for_o 100_o pound_n profit_n for_o 12_o month_n and_o at_o the_o end_n of_o 6_o month_n he_o receive_v principal_a and_o interest_n 356_o pound_n the_o question_n be_v what_o be_v the_o sum_n lend_v divide_v 356_o pound_n by_o 105_o pound_n which_o be_v the_o half_a year_n interest_n and_o principal_a and_o the_o quotient_n be_v 305_o pound_n 5_o ∶_o 105_o of_o a_o pound_n for_o the_o sum_n lend_v example_n 12._o example_n if_o 17_o pound_n loose_v 12_o shilling_n what_o will_v 100_o pound_n loose_a divide_v 60000_o fifthe_n by_o 17_o make_v 3_o pound_n 529_o three_o or_o 3_o pound_n 10_o shilling_n 7_o penny_n in_o the_o hundred_o pound_n 13._o example_n if_o 37_o yard_n of_o velvet_n cost_v 32_o pound_n how_o must_v one_o yard_n be_v sell_v to_o gain_v 9_o pound_n 10_o shilling_n in_o the_o hundred_o first_o 32_o pound_n the_o price_n at_o 9_o pound_n 5_o prime_n the_o hundred_o make_v 35_o pound_n 4_o second_o which_o divide_v by_o 37_o make_v the_o price_n of_o one_o yard_n to_o be_v 94702_o fifthe_n or_o 18_o shilling_n 11_o penny_n ob_fw-la to_o sell_v one_o yard_n to_o gain_v 9_o pound_n 10_o shilling_n in_o the_o hundred_o example_n exchange_n in_o decimall_n 1._o example_n if_o one_o pound_n sterling_a be_v 1_o pound_n 14_o shilling_n 6_o penny_n flemish_n what_o be_v 783_o pound_n sterling_a in_o ●emmish_n money_n set_a out_o 1_o pound_n 14_o shilling_n 6_o penny_n in_o decimall_n make_v 1_o pound_n 725_o three_o which_o multiply_v by_o 783_o pound_n make_v 1350_o pound_n 675_o three_o or_o 1350_o pound_n 13_o shilling_n 6_o penny_n example_n 2_o example_n if_o one_o pound_n exchange_n be_v 5_o shilling_n 6_o penny_n what_o be_v 783_o pound_n set_a 5_o s._n 6_o d._n in_o decimal_n make_v 275_o three_o which_o multiply_v by_o 783_o make_v 215_o pound_n 325_o three_o or_o 215_o pound_n 6_o shilling_n 6_o penny_n which_o add_v to_o the_o last_o example_n be_v 1566_o pound_n and_o so_o much_o be_v the_o double_a of_o the_o sum_n give_v viz._n of_o 78●_n pound_n because_o the_o two_o price_n give_v make_v just_a 2_o pound_n and_o this_o by_o work_v a_o second_o question_n in_o exchange_n the_o first_o be_v prove_v to_o be_v true_o wrought_v as_o appear_v in_o the_o example_n above_o 3._o example_n if_o one_o pound_n exchange_n be_v 1_o pound_n 17_o shilling_n 7_o penny_n halfpenny_n what_o be_v 1000_o pound_n at_o that_o rate_n set_a 1_o pound_n 17_o shilling_n

7_o penny_n halfpenny_n in_o decimall_n make_v 1_o pound_n 88125_o fifthe_n then_o because_o 1000_o have_v cipher_n add_v 3_o cipher_n and_o cut_v off_o 5_o figure_n and_o the_o answer_n be_v 1881_o pound_n 5_o shilling_n 4_o example_n a_o merchant_n do_v receive_v 134_o pound_n 6_o shilling_n for_o the_o exchange_n of_o one_o hundred_o pound_n sterling_a from_o middleborough_n what_o be_v one_o pound_n sterling_a in_o flemish_a money_n place_n 134_o pound_n 6_o shilling_n in_o decimall_n be_v 134_o pound_n 3_o prime_n then_o because_o 100_o pound_n have_v 2_o cipher_n cut_v off_o two_o figure_n more_o to_o the_o left_a hand_n and_o it_o will_v be_v 1_o pound_n 343_o three_o or_o in_o coin_n 1_o pound_n 6_o shilling_n 11_o penny_n farthing_n for_o the_o exchange_n of_o one_o pound_n at_o that_o rate_n 5._o example_n a_o merchant_n do_v receive_v 645_o pound_n 12_o shilling_n for_o exchange_n money_n at_o 1_o pound_n 7_o shilling_n 6_o penny_n for_o one_o pound_n sterling_a the_o question_n be_v how_o much_o sterling_a money_n he_o do_v deliver_v divide_v 645_o pound_n 6_o prime_n by_o 1_o li._n 375_o three_o or_o 1_o pound_n 7_o shilling_n 6_o penny_n make_v 4695268_o fourth_n or_o 469_o pound_n 10_o shilling_n 6_o penny_n 1_o farthing_n for_o the_o sterling_a money_n deliver_v 6_o example_n if_o 1_o l._n sterling_a be_v 1_o l._n 7_o s._n 6_o d._n flemish_a what_o be_v 110_o l._n flemish_a in_o sterling_n coin_v divide_v 100_o pound_n by_o 1_o pound_n 375_o three_o make_v 72_o pound_n 72727_o fifth_n or_o 72_o pound_n 14_o shilling_n 6_o penny_n ●b_n that_o 100_o l._n make_v 7._o example_n if_o the_o exchange_n be_v from_o rome_n to_o london_n at_o 69_o penny_n sterling_a one_o ducat_n how_o many_o duckat_n shall_v be_v deliver_v at_o rome_n for_o to_o receive_v 356_o pound_n 16_o shilling_n sterling_a at_o london_n answer_v divide_v 356_o pound_n 8_o prime_n by_o 2875_o fourth_n which_o be_v 69_o penny_n and_o the_o quotient_n will_v be_v 1241_o duckat_n 3_o penny_n 8._o example_n if_o the_o exchange_n be_v from_o london_n unto_o antwerp_n at_o 23_o shilling_n 5_o penny_n 3_o farthing_n flemish_a the_o pound_n sterling_a how_o much_o money_n must_v be_v deliver_v at_o london_n to_o receive_v 146_o pound_n 14_o s._n 10_o penny_n 3_o q._n in_o flemish_a money_n answer_v divide_v 146_o pound_n 744775_o sixthe_n by_o 1_o pound_n 3_o shilling_n 5_o penny_n 3_o farthing_n which_o be_v 1_o pound_n 1739582_o seventh_n and_o the_o quotient_n be_v 125_o pound_n and_o so_o much_o must_v he_o deliver_v at_o london_n to_o receive_v 146_o pound_n 14_o shilling_n 10_o penny_n 3_o farthing_n in_o flemish_a coin_n at_o that_o rate_n example_n 9_o example_n a_o merchant_n do_v deliver_v at_o antwerp_n 200_o pound_n flemish_a by_o exchange_n for_o london_n at_o 22_o shilling_n 10_o penny_n fleminish_v for_o one_o pound_n sterling_a how_o much_o must_v he_o receive_v at_o london_n answer_v divide_v 200_o pound_n by_o 1_o pound_n 141666_o sixth_n which_o be_v 22_o shilling_n 10_o penny_n make_v 175_o pound_n a_o general_a rule_n for_o exchange_n in_o decimal_n if_o the_o price_n of_o a_o unite_v be_v give_v then_o always_o divide_v the_o sum_n of_o money_n whereon_o the_o question_n depend_v by_o that_o unite_v in_o decimall_n and_o the_o quotient_n be_v the_o answer_n to_o the_o question_n 1._o example_n a_o merchant_n do_v deliver_v 100_o pound_n sterling_a by_o exchange_n for_o rome_n at_o 72_o penny_n sterling_a for_o one_o duckat_n de_fw-fr camera_fw-la the_o question_n be_v how_o many_o ducat_n he_o must_v receive_v at_o rome_n for_o his_o 100_o pound_n sterling_a here_o the_o price_n of_o one_o ducat_n be_v give_v to_o be_v 72_o penny_n which_o be_v 6_o shilling_n or_o 3_o prime_n wherefore_o i_o divide_v 100_o pound_n by_o 3_o prime_n and_o the_o quotient_n be_v 333_o pound_n 1_o ∶_o 3_o of_o a_o pound_n or_o 6_o shilling_n 8_o penny_n for_o answer_n to_o the_o question_n 2._o example_n a_o merchant_n do_v deliver_v 756_o pound_n 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this_o by_o 74002499_o the_o 21_o number_n add_v cipher_n and_o mark_v the_o prime_a line_n and_o the_o quotient_n be_v 864_o pound_n 17_o shilling_n 4_o penny_n ●_o farthing_n for_o the_o answer_n to_o the_o question_n demand_v example_n 2._o example_n have_v find_v what_o 100_o pound_n annuity_n will_v amount_v unto_o if_o you_o will_v know_v what_o 10_o pound_n or_o 1_o pound_n annuity_n will_v amount_v unto_o or_o 1000_o pound_n in_o 21_o year_n place_v it_o in_o decimall_n and_o cut_v off_o 1_o 2_o or_o add_v 3_o cipher_n to_o the_o last_o or_o remove_v 3_o place_n and_o you_o shall_v find_v your_o demand_n example_n 3._o example_n what_o be_v 546_o pound_n yearly_a annuity_n for_o 14_o year_n worth_n in_o ready_a money_n at_o ten_o pound_n in_o the_o hundred_o compound_v interest_n find_v the_o fourteen_o number_n in_o the_o breviate_v of_o 10_o pound_n in_o the_o hundred_o from_o it_o subtract_v a_o unite_v in_o the_o first_o place_n and_o add_v a_o cypher_n make_v 279749830_o which_o multiply_v by_o 546_o make_v 152743407180_o which_o divide_v by_o 37974983_o the_o 14_o number_n in_o the_o breviate_v make_v 4022_o pound_n 4_o shilling_n 2_o penny_n 3_o farthing_n make_v 4022_o l._n 4_o s._n 2_o d._n 3_o ∶_o 4_o 1._o example_n there_o be_v a_o debt_n buy_v for_o 513_o pound_n 3_o shilling_n 2_o penny_n ready_a money_n which_o be_v due_a at_o 7_o year_n end_n now_o the_o question_n be_v what_o the_o debt_n be_v at_o 10_o pound_n in_o the_o hundred_o compound_v interest_n set_a your_o money_n pay_v in_o decimall_n make_v 513158_o which_o multiply_v by_o 19487171_o the_o number_n against_o 7_o year_n cut_v off_o 10_o figure_n make_v 999_o pound_n 999_o three_o want_v but_o one_o three_o of_o 1000_o pound_n wherefore_o i_o conclude_v the_o debt_n be_v 1000_o pound_n which_o be_v due_a at_o 7_o year_n end_n 2_o example_n there_o be_v a_o debt_n buy_v for_o 600_o pound_n which_o be_v due_a at_o 4_o year_n end_n what_o be_v that_o debt_n at_o 10_o pound_n in_o the_o hundred_o compound_v interest_n multiply_v 600_o pound_n by_o the_o number_n against_o 4_o year_n which_o be_v 14641000_o make_v 878_o pound_n 4600000_o seventh_n or_o in_o coin_n 878_o pound_n 9_o shilling_n 2_o penny_n 2_o ∶_o 5_o of_o 1_o penny_n for_o the_o sum_n of_o that_o debt_n make_v 878_o l._n 9_o s._n 2_o d._n 2_o ∶_o 5_o of_o a_o penny_n i_o have_v set_v no_o exampy_n of_o the_o table_n of_o 8_o pound_n in_o the_o hundred_o nor_o of_o no_o other_o rate_n bectuse_n i_o intend_v short_o to_o speak_v more_o at_o large_a of_o this_o subject_n in_o another_o volume_n if_o god_n please_v to_o give_v i_o time_n and_o health_n in_o which_o i_o intend_v to_o speak_v more_o at_o large_a of_o the_o ground_n reason_n and_o proof_n of_o these_o kind_n of_o operation_n and_o here_o i_o will_v finish_v this_o small_a treatise_n of_o the_o second_o book_n finis_fw-la

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

in_o 8_o month_n take_v the_o ten_o part_n of_o 336_o which_o be_v ●●_o li._n 6_o prime_n or_o 12_o s._n make_v 369_o li._n 12_o s._n second_o if_o 12_o month_n gain_n 33_o pound_n 6_o prime_n what_o will_v 8_o month_n gain_n i_o answer_v less_o than_o 33_o pound_n 6_o prime_n wherefore_o multiply_v by_o 8_o and_o divide_v by_o the_o great_a extreme_a 12_o make_v 22_o pound_n 4_o prime_n or_o 8_o shilling_n the_o answer_n if_o 120_o pioner_n in_o 6_o day_n cast_v 300_o rod_n of_o trench_n how_o many_o shall_v 600_o man_n cast_v up_o in_o 4_o day_n if_o 120_o give_v 300_o what_o will_v 600_o give_v answer_v 1500_o rods._n second_o if_o 6_o day_n give_v 1500_o rod_n how_o many_o will_v 4_o day_n give_v i_o answer_v less_o multiply_v by_o 4_o and_o divide_v by_o 6_o make_v 1000_o rods._n if_o 112_o pound_n in_o 12_o month_n gain_n 100_o li._n what_o will_v 340_o li._n gain_n in_o 7_o month_n answer_n 303_o li._n 4_o ∶_o 7._o second_o if_o 12_o month_n gain_n 303_o li._n 4_o ∶_o 7_o what_o will_v 7_o month_n gain_n example_n a_o general_a rule_n put_v always_o your_o divisor_n into_o the_o same_o fraction_n of_o your_o dividend_n and_o your_o quotient_n will_v be_v of_o the_o same_o denomination_n that_o your_o dividend_n be_v as_o in_o the_o last_o example_n 12_o month_n be_v turn_v into_o seventh_n and_o also_o 303_o pound_n 4_o ∶_o 7_o be_v turn_v into_o seaventh_n of_o pound_n and_o so_o the_o quotient_a of_o that_o division_n be_v pound_n and_o the_o fraction_n of_o a_o pound_n remain_v if_o 7_o pound_n in_o 13_o month_n gain_n 3_o pound_n in_o how_o long_a time_n will_v 340_o pound_n gain_v 60_o pound_n first_o if_o 7_o pound_n gain_v 3_o pound_n what_o will_v 340_o pound_n gain_v make_v 145_o pound_n 5_o ∶_o 7_o of_o a_o pound_n second_o if_o 145_o pound_n 5_o ∶_o 7_o or_o 1020_o ∶_o 7_o ask_z 13_o month_n what_o will_v 60_o pound_n or_o 420_o ∶_o 7_o gain_n multiply_v by_o 13_o and_o divide_v by_o 1020_o make_v 5_o month_n 6_o ∶_o 17_o of_o a_o month_n if_o 600_o great_a horse_n in_o 5_o day_n do_v spend_v 1125_o bushel_n of_o oat_n how_o many_o bushel_n will_v serve_v 1400_o horse_n for_o 22_o day_n first_o say_v if_o 600_o give_v 1125_o what_o 1400_o make_v 2625_o bushel_n second_o if_o 5_o spend_v 2625_o bushel_n what_o will_v 22_o day_n spend_v multiply_v by_o 22_o and_o divide_v by_o 3_o make_v 11550_o bushel_n how_o to_o work_v the_o double_a rule_n at_o one_o operation_n this_o last_o question_n or_o any_o other_o of_o like_a nature_n which_o be_v wrought_v by_o the_o double_a rule_n at_o two_o several_a operation_n may_v be_v answer_v at_o one_o in_o this_o manner_n multiply_v the_o three_o latter_a number_n to_o make_v your_o dividend_n one_o into_o the_o other_o then_o multiply_v the_o two_o former_a number_n for_o to_o make_v your_o divisor_n and_o then_o divide_v the_o dividend_n by_o the_o divisor_n and_o the_o quotient_n will_v be_v the_o same_o as_o in_o the_o last_o example_n 1125_o be_v multiply_v by_o 1400_o make_v 1575000_o which_o again_o increase_v by_o 22_o make_v your_o dividend_n 34650000._o then_o multiply_v your_o two_o former_a number_n 600_o by_o 5_o make_v 3000_o for_o the_o divisor_n and_o then_o divide_v your_o dividend_n by_o your_o divisor_n 3000_o the_o quotient_n will_v be_v 11550_o bushel_n as_o before_o at_o two_o operation_n example_n if_o 35_o s._n in_o 7_o month_n gain_n 6_o s._n in_o how_o long_a time_n will_v 340_o l._n gain_n 100_o l._n first_o if_o 35_o s._n gain_n 6_o s._n what_o will_v 340_o l._n require_v reduce_v 340_o l._n into_o penny_n and_o multiply_v by_o 6_o make_v 40800_o which_o divide_v by_o 35_o make_v 1165_o s._n 5_o ∶_o 7_o s._n second_o if_o 1165_o ●_o 5_o ∶_o 7_o require_v 7_o month_n what_o will_v 100_o l_o require_v make_v 12_o month_n 8_o ∶_o 816_o part_n of_o a_o month_n fellowship_n without_o time_n this_o rule_n differ_v very_o little_a from_o the_o rule_n of_o three_o for_o in_o this_o rule_n the_o sum_n of_o all_o the_o money_n disburse_v be_v the_o first_o number_n in_o the_o golden_a rule_n then_o the_o gain_n or_o loss_n be_v the_o second_o number_n the_o three_o number_n be_v each_o several_a partner_n money_n disburse_v so_o that_o the_o rule_n must_v be_v several_o wrought_v for_o each_o several_a partner_n portion_n example_n four_o merchant_n make_v a_o company_n together_o the_o first_o viz._n a._n put_v in_o stock_n 74_o pound_n b._n put_v in_o 90_o pound_n c._n put_v in_o 100_o pound_n and_o d._n put_v in_o 120_o pound_n and_o they_o find_v that_o they_o have_v gain_v 84_o pound_n now_o the_o question_n be_v what_o each_o man_n must_v have_v of_o the_o gain_n according_a to_o the_o proportion_n of_o his_o money_n disburse_v first_o add_v all_o the_o money_n disburse_v into_o one_o total_a sum_n viz._n 74_o 90_o 100_o 120_o total_a be_v 384_o for_o the_o first_o number_n in_o the_o golden_a rule_n then_o the_o second_o number_n be_v 84_o pound_n the_o gain_n and_o the_o three_o number_n be_v each_o particular_a man_n stock_n then_o work_v as_o follow_v if_o 384_o pound_n gain_v 84_o pound_n what_o will_v a._n b._n c._n d._n sum_n gain_v to_o they_o the_o like_a reason_n be_v in_o loss_n as_o be_v in_o gain_n example_n a_o certain_a ship_n be_v in_o a_o tempest_n on_o the_o sea_n be_v force_v to_o cast_v over_o board_n so_o much_o of_o her_o lade_n as_o amount_v unto_o the_o sum_n of_o 642_o pound_n than_o there_o be_v great_a reason_n that_o all_o the_o venture_n shall_v bear_v part_n of_o that_o loss_n according_a to_o the_o proportion_n of_o his_o stock_n which_o he_o venture_v as_o suppose_v a._n venture_v 700_o pound_n b._n 530_o pound_n c._n 640_o pound_n d._n 800_o pound_n total_a be_v 2670._o then_o say_v if_o 2670_o pound_n loose_v 642_o pound_n what_o will_v each_o of_o a._n b._n c._n d._n loose_a as_o in_o the_o example_n follow_v example_n if_o 2670_o pound_n loose_v 642_o pound_n what_o will_v a._n b._n c._n d._n sum_n loose_a to_o they_o fioure_fw-fr merchant_n buy_v a_o ship_n which_o cost_v they_o 3600_o pound_n whereof_o he_o must_v pay_v one_o three_o part_n of_o the_o money_n b._n one_o four_o c._n one_o five_o d._n one_o six_o the_o question_n be_v what_o each_o man_n must_v pay_v of_o the_o saidsumme_n answer_n seek_v a_o number_n wherein_o the_o like_a part_n may_v be_v have_v which_o be_v 60_o and_o take_v the_o like_a part_n of_o that_o number_n for_o the_o number_n that_o you_o seek_v for_o to_o find_v each_o man_n portion_n of_o the_o money_n which_o he_o shall_v pay_v first_o 1_o ∶_o 3_o of_o 60_o be_v 20_o the_o 1_o ∶_o 4_o be_v 15_o the_o 1_o 5_o be_v 12_o the_o 1_o ∶_o 6_o be_v 10_o which_o add_v into_o one_o total_a make_v 57_o for_o the_o first_o number_n in_o the_o golden_a rule_n example_n if_o 57_o be_v 3600_o what_o will_v be_v the_o sum_n of_o a._n b._n c._n d._n the_o say_a ship_n make_v a_o voyage_n to_o sea_n and_o have_v get_v all_o charge_n deduct_v out_o 240_o pound_n the_o question_n be_v what_o each_o man_n must_v have_v of_o the_o gain_n answer_n if_o 57_o gain_n 240_o what_o will_v a._n b._n c._n d._n sum_n gain_v to_o they_o four_o merchant_n make_v a_o company_n a._n put_v in_o 320_o pound_n 13_o shilling_n 3_o penny_n b._n put_v in_o 840_o pound_n 16_o shilling_n 6_o penny_n c._n put_v in_o 560_o pound_n 18_o shilling_n 9_o penny_n d._n 1000_o pound_n and_o in_o one_o year_n they_o find_v they_o have_v gain_v 400_o pound_n 18_o shilling_n 6_o penny_n the_o question_n be_v what_o each_o man_n must_v have_v of_o the_o gain_n first_o the_o total_a sum_n of_o all_o their_o money_n make_v 2721_o pound_n 8_o shilling_n 6_o penny_n or_o 653142_o penny_n for_o the_o first_o number_n then_o reduce_v each_o several_a man_n money_n disburse_v into_o penny_n for_o the_o three_o number_n the_o second_o be_v the_o gain_n also_o reduce_v into_o penny_n and_o then_o work_v according_a to_o the_o rule_n example_n if_o 2721_o pound_n 8_o shilling_n 6_o penny_n gain_v 400_o pound_n 18_o shilling_n 6_o penny_n what_o will_v a._n b._n c._n d._n sum_n gain_v to_o they_o rule_n of_o fellowship_n with_o diversity_n of_o time_n multiply_v each_o man_n money_n disburse_v by_o the_o time_n that_o it_o continue_v in_o stock_n and_o gather_v the_o total_o as_o in_o the_o last_o rule_n to_o make_v the_o first_o term_n in_o the_o golden_a rule_n and_o the_o gain_n or_o loss_n be_v the_o second_o and_o then_o each_o man_n product_n of_o money_n and_o time_n for_o the_o three_o term_n in_o the_o golden_a rule_n and_o work_v as_o follow_v example_n three_o man_n

of_o your_o ginger_n into_o penny_n make_v 9072_o penny_n which_o divide_v by_o 14_o penny_n make_v 648_o pound_n of_o sugar_n which_o must_v be_v give_v for_o 756_o pound_n of_o ginger_n at_o 12_o penny_n the_o pound_n 2._o example_n two_o merchant_n will_v barter_n one_o have_v raisin_n of_o 34_o shilling_n the_o hundred_o ready_a money_n and_o in_o barter_n he_o will_v sell_v they_o for_o 40_o shilling_n the_o other_o have_v nut_n meg_n of_o 4_o shilling_n the_o pound_n ready_a money_n how_o shall_v he_o set_v his_o nut_n meg_n to_o make_v the_o like_a profit_n put_v your_o coin_n into_o penny_n and_o say_v if_o 408_o d._n be_v 480_o d._n what_o be_v 48_o d._n multiply_v 480_o by_o 48_o and_o divide_v by_o 408_o make_v 56_o d._n 2●●5●_n of_o one_o penny_n for_o the_o price_n of_o the_o nutmeg_n vid._n 4_o s._n 8_o d._n 1_o ∶_o 2_o of_o a_o pound_n 3._o example_n two_o merchant_n will_v barter_n one_o have_v holland_n of_o 2_o shilling_n 7_o penny_n the_o ell_n ready_a money_n which_o he_o will_v sell_v in_o barter_n for_o a_o shilling_n 10_o penny_n the_o ell_n and_o yet_o he_o will_v gain_v private_o 10_o pound_n in_o 100_o pound_n over_o that_o gain_n at_o what_o price_n must_v he_o then_o set_v his_o holland_n answer_v set_v down_o 2_o shilling_n 10_o penny_n in_o penny_n make_v 34_o penny_n of_o which_o take_v the_o ten_o part_n which_o be_v 3_o penny_n 4_o ∶_o 10_o or_o 2_o ∶_o 5_o and_o add_v to_o 34_o penny_n make_v 37_o penny_n 2_o ∶_o 5_o of_o a_o penny_n for_o the_o price_n to_o sell_v one_o ell_n to_o make_v that_o gain_n now_o the_o other_o merchant_n have_v wool_n at_o 7_o shilling_n a_o todde_n ready_a money_n how_o shall_v he_o set_v his_o wool_n to_o make_v like_o profit_n that_o he_o be_v not_o deceive_v in_o the_o bargain_n if_o 31_o penny_n be_v 37_o penny_n 2_o ∶_o 5_o what_o be_v 84_o penny_n multiply_v 374_o prime_n by_o 84_o make_v 31416_o which_o divide_v by_o 31_o make_v 101_o penny_n 3_o ∶_o 10_o penny_n or_o 8_o shilling_n 5_o penny_n 3_o ∶_o 10_o of_o one_o penny_n which_o be_v the_o price_n for_o he_o to_o sell_v his_o wool_n to_o make_v like_o profit_n example_n 4._o example_n two_o merchant_n will_v barter_n one_o have_v sugar_n of_o 6_o pound_n 4_o shilling_n ready_a money_n and_o he_o will_v sell_v it_o for_o 7_o pound_n the_o hundred_o the_o other_o have_v ginger_n of_o 4_o pound_n 6_o shilling_n the_o hundred_o and_o in_o barter_n he_o will_v sell_v it_o for_o 5_o pound_n the_o hundred_o now_o the_o question_n be_v at_o what_o rate_n each_o of_o they_o do_v gain_v per_fw-la cent_n '_o and_o which_o have_v the_o advantage_n of_o the_o other_o first_o if_o 6_o pound_n 2_o prime_n gain_v 8_o prime_n what_o will_v 100_o pound_n gain_v multiply_v 8_o prime_n by_o 100_o make_v 800_o prime_n then_o add_v 2._o or_o 3_o cypher_n more_o to_o it_o which_o divide_v by_o 6_o ∶_o 2_o prime_n make_v 12_o l._n 9_o prime_n 10_o ∶_o 31_o of_o a_o prime_n or_o near_o 12_o l._n 18_o shilling_n 8_o penny_n which_o the_o first_o man_n do_v gain_v per_fw-la cent●_n second_o if_o 4_o pound_n 3_o prime_n gain_v 7_o prime_n what_o will_v 100_o pound_n gain_v multiply_v 7_o prime_n by_o 100_o and_o add_v 2_o cypher_n more_o make_v 70000_o which_o divide_v by_o 4_o ∶_o 3_o prime_n make_v 16_o pound_n 2_o prime_n 34_o ∶_o 43_o of_o a_o prime_n from_o which_o subtract_v 12_o pound_n 18_o shilling_n 8_o penny_n rest_v 3_o pound_n 6_o shilling_n 2_o penny_n which_o the_o second_o man_n have_v gain_v more_o than_o the_o first_o gain_v 6._o example_n two_o merchant_n barter_v one_o have_v a_o certain_a number_n of_o piece_n of_o sakkin_n at_o 18_o shilling_n a_o piece_n for_o the_o which_o the_o other_o do_v give_v he_o 1806_o ell_n of_o linen_n cloth_n at_o 16_o penny_n the_o ell_n and_o yet_o 30_o pound_n in_o ready_a money_n the_o question_n be_v how_o many_o piece_n of_o sakkin_n he_o have_v first_o find_v what_o 1806_o ell_n of_o linen_n cloth_n cost_v by_o practice_n make_v 120_o pound_n 8_o shilling_n to_o the_o which_o add_v 30_o pound_n make_v 150_o pound_n 8_o shilling_n then_o divide_v 150_o pound_n 4_o prime_n by_o 18_o shilling_n or_o 9_o prime_n make_v 167_o piece_n of_o sakkin_n and_o 1_o ∶_o 9_o of_o a_o piece_n example_n 6._o example_n two_o man_n will_v barter_n one_o have_v pepper_n of_o 22_o penny_n the_o pound_n ready_a money_n but_o in_o barter_n he_o will_v sell_v it_o for_o 27_o penny_n the_o pound_n the_o other_o have_v cinnamon_n of_o 3_o shilling_n 6_o penny_n the_o pound_n ready_a money_n and_o in_o barter_n he_o will_v sell_v it_o for_o 4_o shilling_n the_o pound_n the_o question_n be_v how_o much_o cinnamon_n will_v pay_v for_o 384_o pound_n of_o pepper_n at_o that_o rate_n first_o 384_o pound_n of_o pepper_n at_o 27_o penny_n the_o pound_n be_v 43_o pound_n 4_o shilling_n which_o divide_v 43_o ∶_o 2_o prime_n make_v 216_o pound_n cinnamon_n which_o he_o must_v give_v 7._o example_n if_o 4_o english_a ell_n make_v 5_o yard_n and_o 13_o yard_n make_v 50_o pawn_n at_o geane_z how_o many_o pawn_n be_v in_o 100_o ell_n english_a if_o 5_o be_v 4_o what_o be_v 13_o makes_z 10_o 2_o ∶_o 5._o second_o if_o 10_o 2_o ∶_o 5_o be_v 50_o what_o be_v 100_o 480_o 10_o ∶_o 13_o 8._o example_n every_o 4_o ell_n at_o antwerp_n make_v 5_o at_o frankford_n and_o 25_o there_o make_v 24_o brace_n at_o luque_n the_o question_n be_v how_o many_o brace_n be_v 100_o in_o antwerp_n if_o 25_o be_v 24_o what_o be_v 5_o makes_z 4_o 4_o ∶_o 5._o second_o if_o 4_o be_v 4_o 4_o ∶_o 5_o what_o be_v 100_o make_v 120._o 9_o example_n if_o 3_o yard_n at_o london_n be_v 4_o ell_n at_o antwerp_n how_o many_o yard_n at_o london_n make_v 84_o ell_n at_o antwerp_n if_o 4_o be_v 3_o what_o 84_o make_v 63_o ell_n 10._o example_n at_o rouen_n 112_o ell_n make_v but_o 98_o and_o 100_o ell_n at_o rouen_n be_v 112_o at_o sivil_a how_o many_o of_o we_o in_o 100_o ell_n of_o si●ull_a if_o 98_o rouen_n be_v 112_o ell_n what_o 100_o rouen_n make_v 114_o ell_n 1_o ∶_o 7_o of_o a_o ell_n second_o if_o 112_o ell_n be_v 114_o 1_o ∶_o 7_o what_o be_v 100_o seville_n make_v 102_o 19_o ∶_o 25._o 11._o example_n if_o 67_o yard_n at_o london_n be_v 100_o in_o venice_n how_o many_o be_v 7894_o multiply_v by_o 67_o make_v 5288_o yard_n 98_o ∶_o 100_o part_n 12._o example_n a_o merchant_n do_v deliver_v 400_o pound_n sterling_a in_o london_n by_o exchange_n for_o antwerp_n at_o 23_o shilling_n 5_o penny_n the_o pound_n sterling_a the_o question_n be_v how_o much_o flemish_a money_n he_o shall_v receive_v at_o antwerp_n put_v your_o 23_o s._n 5_o d._n into_o penny_n make_v 281_o penny_n which_o multiply_v by_o 400_o make_v 112400_o penny_n which_o divide_v by_o 240_o make_v 468_o pound_n 6_o shilling_n 8_o penny_n which_o he_o must_v receive_v at_o antwerp_n example_n 13._o example_n if_o 100_o pound_n starling_n be_v 134_o pound_n 6_o shilling_n 4_o penny_n flemish_a what_o be_v one_o pound_n starling_n worth_n reduce_v your_o coin_n 134_o l._n 6_o s._n 4_o penny_n into_o penny_n make_v 32236_o which_o divide_v by_o 100_o make_v 322_o penny_n 9_o ∶_o 25_o penny_n or_o 26_o shilling_n 10_o penny_n 9_o ∶_o 25_o of_o one_o penny_n for_o one_o pound_n sterling_a if_o one_o pound_n sterling_a be_v 1_o pound_n 14_o shilling_n 7_o penny_n ob_fw-la flemish_a how_o much_o sterling_a money_n be_v in_o 100_o li._n flemish_a reduce_v 100_o pound_n into_o penny_n make_v 24000_o penny_n then_o put_v it_o into_o half_a penny_n make_v 48000_o half_a penny_n then_o put_v 1_o pound_n 14_o shilling_n 7_o penny_n ob_fw-la into_o half_a penny_n make_v 831_o by_o which_o divide_v 48000_o make_v 57_o pound_n 15_o shilling_n 1_o penny_n almost_o and_o so_o much_o sterling_a money_n be_v in_o 100_o pound_n of_o flemish_a money_n at_o that_o rate_n of_o gain_n and_o loss_n if_o 13_o piece_n of_o canvas_n cost_v 17_o pound_n 12_o shilling_n how_o may_v i_o sell_v they_o to_o gain_v 8_o pound_n in_o the_o hundred_o multiply_v 176600_o by_o 8_o make_v 19_o pound_n 19008_o or_o two_o penny_n almost_o and_o so_o much_o must_v he_o sell_v they_o for_o to_o gain_v 8_o pound_n in_o the_o hundred_o if_o 17_o pound_n 12_o shilling_n gain_v 1_o pound_n 8_o shilling_n 2_o penny_n what_o will_v 100_o pound_n gain_v multiply_v 1_o pound_n 8_o shilling_n 2_o penny_n in_o decimall_n by_o 100_o and_o divide_v by_o 17_o pound_n 6_o prime_n make_v 8_o pound_n in_o the_o 100_o the_o proof_n example_n a_o merchant_n have_v lend_v 630_o pound_n at_o interest_n for_o 10_o pound_n

in_o the_o 100_o for_o 3_o year_n interest_n upon_o interest_n the_o question_n be_v unto_o what_o sum_n it_o will_v amount_v unto_o at_o the_o end_n of_o the_o term_n answer_v take_v the_o ten_o part_n and_o add_v it_o into_o one_o total_a 3_o several_a time_n make_v 838_o pound_n 10_o shilling_n 7_o penny_n 1_o ∶_o 5_o of_o a_o penny_n for_o principal_a and_o interest_n at_o the_o rate_n give_v to_o be_v pay_v at_o the_o end_n of_o three_o year_n example_n 2._o example_n a_o merchant_n receive_v for_o principal_a and_o interest_n 838_o pound_n 10_o shilling_n 7_o penny_n 1_o ∶_o 5_o of_o a_o penny_n at_o 10_o pound_n in_o the_o hundred_o compound_v interest_n which_o be_v for_o money_n deliver_v out_o for_o 3_o year_n now_o the_o question_n be_v what_o be_v the_o sum_n of_o money_n that_o be_v lend_v to_o do_v this_o or_o any_o other_o the_o like_a question_n divide_v the_o sum_n of_o money_n receive_v by_o 110_o three_o several_a time_n and_o the_o three_o quotient_n will_v show_v the_o yearly_a increase_n of_o the_o money_n lend_v and_o the_o last_o quotient_n will_v be_v the_o answer_n to_o the_o question_n or_o the_o money_n disburse_v as_o in_o the_o example_n follow_v which_o be_v the_o proof_n of_o the_o former_a question_n example_n 3._o example_n a_o merchant_n lend_v 100_o pound_n for_o 7_o year_n at_o 10_o pound_n in_o the_o hundred_o compound_v interest_n the_o question_n be_v what_o he_o shall_v receive_v at_o the_o end_n of_o the_o term_n example_n make_v at_o 7_o year_n end_n 194_o li._n 17_o s._n 5_o d._n how_o to_o work_v compound_v interest_n at_o any_o rate_n per_fw-la cent_n what_o be_v the_o principal_a and_o interest_n of_o 352_o pound_n put_v out_o at_o 8_o pound_n in_o the_o hundred_o compound_v interest_n to_o be_v pay_v at_o the_o end_n of_o two_o year_n add_v two_o cypher_n to_o 352_o pound_n make_v 35200_o then_o place_v your_o interest_n 8_o under_o the_o low_a cypher_n next_o the_o right_a hand_n and_o multiply_v 352_o by_o 8_o 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shilling_n because_o your_o multiplicand_a have_v 5_o fraction_n example_n how_o to_o find_v the_o price_n of_o any_o unite_v in_o any_o place_n of_o 10_o or_o 100_o or_o 1000_o the_o price_n of_o one_o be_v give_v if_o the_o price_n of_o a_o unite_v be_v give_v at_o any_o rate_n and_o from_o thence_o you_o desire_v to_o know_v what_o 10_o or_o 100_o or_o 1000_o or_o 10000_o will_v cost_v at_o that_o rate_n or_o otherwise_o if_o you_o desire_v to_o know_v if_o you_o do_v gain_v any_o rate_n desire_v by_o the_o pound_n and_o will_v know_v at_o what_o rate_n it_o will_v be_v in_o the_o 100_o pound_n or_o

the_o first_o term_n 10_o make_v 307_o for_o the_o 100_o term_v of_o that_o progression_n example_n or_o otherwise_o take_v the_o excess_n 3_o from_o the_o first_o term_n 10_o and_o there_o will_v rest_v 7_o which_o note_v a_o part_n then_o multiply_v the_o number_n of_o place_n 100_o by_o the_o excess_n 3_o make_v 300_o to_o which_o add_v the_o 7_o make_v 307_o as_o before_o example_n second_o question_n a_o certain_a merchant_n buy_v 78_o piece_n of_o exetor_n carsy_n to_o pay_v 2_o shilling_n for_o the_o first_o piece_n 4_o shilling_n for_o the_o second_o 6_o shilling_n for_o the_o three_o 8_o s._n &_o so_o forth_o increase_v his_o price_n unto_o 78_o piece_n 2_o shilling_n in_o every_o piece_n the_o question_n be_v what_o the_o clothier_n have_v for_o his_o carsey_n first_o find_v the_o latter_a term_n take_v one_o from_o 78_o make_v 77_o which_o multiply_v by_o 2_o make_v 154_o to_o which_o add_v the_o first_o term_n 2_o make_v 156_o for_o the_o 78_o or_o last_o term_n then_o 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one_o which_o multiply_v by_o half_a the_o number_n of_o term_n and_o by_o the_o product_n divide_v the_o sum_n of_o the_o progression_n and_o the_o quotient_n will_v be_v the_o first_o term_n and_o excess_n of_o that_o progression_n example_n at_o 16_o payment_n 353_o pound_n 12_o shilling_n be_v to_o be_v pay_v the_o question_n be_v what_o number_n must_v begin_v and_o continue_v the_o progression_n first_o the_o money_n 7072_o shilling_n then_o to_o 16_o the_o number_n of_o term_n add_v 1_o make_v 17_o which_o multiply_v by_o 8_o half_o the_o number_n of_o term_n make_v 136_o for_o divisor_n by_o which_o divide_v 7072_o and_o the_o quotient_n be_v 52_o shilling_n for_o the_o first_o payment_n and_o excess_n and_o by_o the_o same_o the_o other_o payment_n be_v find_v example_n example_n what_o geometrical_a progression_n be_v and_o the_o rule_n the_o term_n be_v 3_o to_o find_v a_o three_o proportional_a between_o two_o extreme_n divide_v the_o root_n of_o the_o great_a by_o the_o lesser_a extreme_a and_o the_o quotient_n be_v your_o desire_n example_n first_o 8_o and_o 12_o be_v two_o extreme_n give_v it_o be_v require_v to_o find_v a_o proportional_a number_n between_o those_o two_o number_n give_v square_v 12_o it_o be_v 144_o which_o divide_v by_o 8_o make_v 18_o for_o the_o three_o proportional_a number_n second_o multiply_v your_o extreme_n together_o and_o extract_v the_o square_a root_n for_o the_o mean_a proportional_a between_o two_o number_n give_v as_o let_v 4_o and_o 9_o be_v two_o extreme_n 4_o by_o 9_o be_v 36_o the_o square_a root_n be_v 6_o for_o a_o mean_a proportional_a number_n to_o those_o two_o number_n give_v between_o 2_o and_o 54_o let_v 2_o mean_a proportional_n be_v desire_v by_o the_o square_n of_o 2_o which_o be_v 4_o multiply_v 54_o it_o make_v 216_o the_o cube_n root_n whereof_o be_v 6_o for_o the_o least_o of_o the_o two_o mean_n again_o by_o 2_o multiply_v 2916_o which_o be_v the_o square_a of_o 54_o make_v 5832_o of_o which_o the_o cube_n root_n be_v 18_o for_o the_o great_a mean_v proportional_a seek_v but_o if_o the_o term_n exceed_v 4_o have_v all_o one_o excess_n it_o be_v then_o call_v geometrical_a progression_n to_o find_v any_o middle_a term_n or_o any_o other_o term_n in_o a_o geometrical_a progression_n increase_v your_o progression_n by_o the_o excess_n and_o the_o square_a of_o the_o term_n when_o you_o cease_v or_o the_o number_n multiply_v in_o itself_o square_o be_v the_o double_a of_o your_o term_n save_o 1_o if_o the_o progression_n begin_v with_o a_o unite_v but_o it_o the_o first_o term_n be_v not_o a_o unite_v than_o the_o square_a of_o any_o term_n be_v the_o double_a number_n of_o the_o say_a term_n as_o if_o you_o shall_v square_v the_o six_o term_n than_o the_o product_n will_v be_v the_o twelve_o term_n &_o so_o of_o any_o other_o term_n example_n a_o gentleman_n come_v into_o a_o market_n to_o buy_v a_o horse_n be_v ask_v 30_o pound_n for_o he_o nay_o say_v the_o gentleman_n his_o price_n be_v over_o great_a then_o say_v the_o owner_n have_v more_o craft_n and_o subtlety_n than_o the_o gentleman_n as_o common_o the_o old_a proverb_n be_v true_a among_o horse-courser_n my_o gelding_n ha●h_v four_o shoe_n upon_o his_o four_o foot_n quoth_v he_o you_o shall_v give_v i_o for_o the_o first_o nail_n there_o be_v 28_o in_o all_o one_o farthing_n and_o for_o the_o second_o nail_n 2_o farthing_n and_o for_o the_o three_o 4_o farthing_n and_o for_o the_o four_o 8_o farthing_n and_o so_o double_a at_o every_o nail_n you_o shall_v have_v he_o whereat_o the_o gentleman_n smile_v say_v i_o will_v have_v he_o and_o so_o they_o bargain_v and_o then_o go_v to_o a_o arithmatician_n to_o cast_v up_o the_o sum_n but_o how_o this_o gentleman_n be_v able_a to_o pay_v for_o this_o horse_n shall_v appear_v by_o the_o work_n which_o i_o have_v put_v for_o a_o example_n because_o i_o will_v not_o have_v any_o man_n ignorant_a in_o arithmetic_n to_o make_v any_o such_o blind_a match_n without_o advice_n as_o i_o know_v many_o have_v do_v to_o their_o cost_n 1._o example_n now_o according_a to_o the_o rule_n i_o increase_v this_o progression_n unto_o the_o seven_o term_n thus_o 1._o 2._o 4._o 8._o 16._o 32._o 64_o which_o 64_o i_o multiply_v by_o itself_o square_o the_o product_n be_v 4096_o which_o by_o the_o rule_n be_v the_o thirteen_o term_n which_o be_v one_o term_n less_o than_o the_o double_a of_o 7_o then_o multiply_v that_o 4096_o by_o 2_o it_o make_v 8192_o which_o be_v the_o fourteen_o term_n then_o multiply_v 8192_o by_o 8192_o and_o the_o product_n be_v 67108864_o which_o be_v the_o twenty_o seven_o term_n the_o which_o be_v double_v make_v the_o last_o term_n 134217728._o example_n the_o extreme_n and_o excess_n of_o a_o progression_n give_v to_o find_v the_o sum_n multiply_v the_o last_o term_n by_o the_o excess_n and_o from_o the_o product_n abate_v the_o first_o term_n and_o divide_v the_o remayner_n by_o a_o unite_v less_o than_o the_o excess_n and_o the_o quotient_n be_v the_o sum_n of_o the_o progression_n desire_v example_n in_o the_o last_o example_n the_o excess_n be_v 2_o by_o which_o i_o multiply_v 134217728_o and_o the_o product_n be_v 268435456_o from_o which_o abate_v 1_o the_o first_o term_n and_o the_o remayner_n be_v 268435455_o which_o shall_v be_v divide_v by_o one_o unite_v less_o than_o the_o excess_n which_o be_v 2_o and_o ●_o less_o be_v but_o 1_o therefore_o see_v 1_o do_v neither_o multiply_v nor_o divide_v i_o conclude_v the_o price_n of_o the_o horse_n to_o be_v 268435455_o farthing_n which_o i_o divide_v by_o 960_o the_o farthing_n in_o one_o pound_n starling_n and_o the_o quotient_n be_v ●79620_n pound_n 5_o shilling_n

to_o which_o add_v 2_o cypher_n make_v 22500_o which_o multiply_v by_o 18_o make_v 40_o ∶_o 50_o or_o 40_o penny_n ob_fw-la which_o add_v into_o the_o price_n make_v 265_o penny_n ob_fw-la for_o the_o price_n to_o sell_v one_o piece_n to_o gain_v 18_o pound_n in_o the_o hundred_o example_n a_o merchant_n lend_v ware_n for_o 10_o pound_n in_o the_o hundred_o profit_n for_o 12_o month_n and_o at_o the_o end_n of_o 6_o month_n he_o receive_v principal_a and_o interest_n 356_o l_n the_o question_n be_v what_o be_v the_o sum_n lend_v answer_v add_v 2_o cypher_n to_o 356_o pound_n and_o divide_v by_o 105_o pound_n which_o be_v 6_o month_n interest_n and_o principal_a make_v 339_o pound_n 1_o ∶_o 21_o part_n of_o a_o pound_n for_o the_o sum_n lend_v example_n equation_n of_o payment_n the_o rule_n of_o payment_n be_v to_o bring_v diverse_a payment_n due_a at_o several_a day_n to_o be_v pay_v at_o one_o entire_a payment_n amerchant_n be_v to_o pay_v at_o diverse_a payment_n 600_o pound_n viz._n 200_o pound_n present_a 200_o pound_n at_o 8_o month_n 140_o pound_n at_o 6_o month_n and_o 60_o pound_n at_o 2_o month_n now_o he_o be_v willing_a to_o pay_v all_o at_o one_o payment_n what_o time_n must_v be_v give_v the_o ready_a money_n be_v omit_v set_v the_o rest_n as_o numerator_n thus_o 200_o ∶_o 600_o 140_o ∶_o 600_o 60_o ∶_o 600_o part_n which_o in_o their_o least_o term_n abreviate_v make_v 1_o ∶_o 3_o 7_o ∶_o 30_o and_o 1_o ∶_o 10._o now_o multiply_v 1_o ∶_o 3_o by_o 8_o makes_z 2_o and_o 2_o ∶_o 3_o second_o 7_o ∶_o 30_o by_o 6_o makes_z 1_o and_o 2_o ∶_o 5_o three_o 1_o ∶_o 10_o by_o 2_o make_v 1_o ∶_o 5_o total_a be_v 4_o month_n and_o 4_o ∶_o 15_o of_o a_o month_n for_o the_o time_n seek_v example_n a_o merchant_n have_v owe_v he_o 752_o pound_n to_o be_v pay_v 200_o pound_n content_a 200_o pound_n at_o 3_o month_n 130_o pound_n at_o 5_o month_n and_o the_o rest_n at_o 12_o month_n now_o at_o what_o time_n ought_v this_o money_n to_o be_v pay_v all_o at_o one_o payment_n example_n a_o merchant_n have_v owe_v unto_o he_o 782_o pound_n 12_o shilling_n to_o be_v pay_v 1_o ∶_o 3_o at_o 4_o month_n 1_o ∶_o 2_o at_o 7_o month_n the_o rest_n at_o 12_o month_n what_o time_n must_v it_o be_v all_o at_o one_o payment_n make_v 6_o month_n 5_o ∶_o 6_o of_o a_o month_n wine_n worth_a 14_o pound_n ready_a money_n be_v sell_v for_o 16_o pound_n to_o pay_v 1_o ∶_o 3_o at_o 3_o month_n 1_o ∶_o 2_o at_o 4_o month_n and_o the_o rest_n which_o be_v 1_o ∶_o 6_o at_o 12_o month_n the_o question_n be_v what_o be_v gain_v in_o 100_o pound_n in_o 12_o month_n make_v at_o 5_o pound_n in_o the_o hundred_o sugar_n worth_a 21_o pound_n ready_a money_n be_v sell_v for_o 25_o pound_n to_o pay_v 1_o ∶_o 5_o ready_a money_n 1_o ∶_o 8_o at_o 4_o month_n 3_o ∶_o 10_o at_o 7_o month_n 3_o ∶_o 8_o at_o 15_o month_n the_o question_n be_v at_o what_o rate_n per_fw-la cent_n per_fw-la annum_fw-la they_o be_v sell_v make_v 8_o pound_n 9_o ∶_o 40_o per_fw-la cent_n alligation_n mediall_a allegation_n be_v a_o arten_n teach_v to_o combine_v or_o knit_v together_o diverse_a thing_n unequal_o prise_v and_o thereby_o to_o find_v a_o equal_a price_n of_o any_o part_n of_o the_o say_a mixture_n alligation_n mediall_a be_v that_o which_o by_o the_o augment_v the_o quantity_n of_o every_o several_a portion_n to_o be_v mix_v by_o his_o own_o price_n and_o divide_v the_o sum_n of_o all_o the_o product_n by_o the_o total_a of_o the_o several_a portion_n to_o be_v mix_v find_v the_o thing_n seek_v example_n three_o several_a sort_n of_o barley_n be_v to_o be_v mix_v viz._n 34_o bushel_n at_o 18_o penny_n and_o 76_o at_o 20_o penny_n and_o 100_o at_o 22_o penny_n the_o question_n be_v what_o one_o bushel_n of_o that_o mixture_n will_v be_v worth_a first_o multiply_v each_o number_n by_o his_o price_n viz._n 34_o by_o 18_o 76_o by_o 20_o and_o 100_o by_o 22_o make_v 612_o 1520_o and_o 1200_o the_o total_a be_v 4332_o then_o add_v the_o number_n of_o bushel_n into_o one_o sum_n make_v 210_o by_o which_o divide_v 4332_o d._n make_v 20_o penny_n 132_o ∶_o 210_o of_o one_o penny_n for_o the_o price_n of_o one_o bushel_n so_o mix_v 2._o example_n if_o you_o will_v mix_v 30_o gallon_n of_o sack_n at_o 4_o shilling_n a_o gallon_n with_o 150_o gallon_n of_o white_a wine_n at_o 2_o shilling_n the_o gallon_n what_o will_v a_o gallon_n of_o that_o mixture_n be_v worth_a multiply_v 30_o by_o 4_o make_v 120_o shilling_n also_o 150_o by_o 2_o shilling_n make_v 300_o shilling_n total_a be_v 420_o shilling_n then_o add_v 30_o and_o 150_o make_v 180_o gallon_n by_o which_o divide_v 420_o shilling_n make_v 2_o shilling_n 1_o ∶_o 3_o of_o a_o shilling_n or_o 2_o shilling_n 4_o penny_n for_o the_o price_n of_o one_o gallon_n so_o mix_v 3._o example_n admit_v there_o be_v 6_o portion_n of_o silver_n of_o 7_o ounce_n fine_a 12_o of_o 8_o ounce_n fine_a and_o 25_o of_o 10_o ounce_n fine_a which_o be_v to_o be_v mingle_v with_o 10_o pound_n of_o copper_n what_o be_v a_o 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each_o to_o make_v the_o just_a sum_n of_o 323_o pound_n 8_o shilling_n answer_n first_o put_v your_o money_n into_o shilling_n make_v 6468_o shilling_n second_o put_v all_o your_o price_n of_o the_o spice_n into_o one_o sum_n and_o by_o that_o sum_n which_o be_v 21_o shilling_n divide_v 6468_o make_v 308_o pound_n which_o he_o must_v sell_v of_o each_o example_n alligation_n alternat_n alligation_n alternat_n be_v that_o which_o alter_v the_o place_n of_o such_o excess_n as_o common_o fall_v between_o the_o mean_a price_n and_o the_o extreme_n in_o which_o counterchange_n if_o the_o extreme_n be_v equal_a than_o the_o difference_n between_o the_o mean_a price_n &_o lesser_a extreme_a be_v to_o be_v set_v against_o the_o great_a extreme_a and_o of_o the_o contrary_a if_o otherwise_o 1._o example_n white_a wine_n of_o 20_o penny_n the_o gallon_n be_v to_o be_v mix_v with_o sack_n of_o 3_o shilling_n a_o gallon_n so_o that_o there_o must_v be_v mix_v 300_o gallon_n to_o make_v the_o 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