Linguistic DNA - Concept Modelling Demonstrator

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
money_n	example_n	pound_n	shilling_n	2,130	5	12.1773	5	true

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A74684	The scales of commerce and trade: ballancing betwixt the buyer and seller, artificer and manufacture, debitor and creditor, the most general questions, artificiall rules, and usefull conclusions incident to traffique: comprehended in two books. The first states the ponderates to equity and custome, all usuall rules, legall bargains and contracts, in wholesale ot [sic] retaile, with factorage, returnes, and exchanges of forraign coyn, of interest-money, both simple and compounded, with solutions from naturall and artificiall arithmetick. The second book treats of geometricall problems and arithmeticall solutions, in dimensions of lines, superficies and bodies, both solid and concave, viz. land, wainscot, hangings, board, timber, stone, gaging of casks, military propositions, merchants accounts by debitor and creditor; architectonice, or the art of building. / By Thomas Willsford Gent.	Willsford, Thomas.	1660 (1660)	Wing W2876; Thomason E1748_1; Thomason E1748_2; ESTC R209647	103,352	283

tun_n or_o 20_o hundred_o gross_a from_o hence_o continue_v down_o to_o a_o unite_v in_o such_o a_o order_n or_o series_n of_o number_n most_o frequent_o use_v in_o the_o commerce_n and_o trade_n of_o this_o our_o british_a island_n in_o the_o next_o stand_v their_o subtle_a and_o gross_a weight_n note_v with_o numeral_a letter_n distinguish_v in_o the_o postscript_n by_o the_o letter_n g_o denote_v gross_a the_o three_o and_o four_o column_n show_v what_o sum_n of_o money_n they_o do_v make_v in_o shilling_n in_o the_o five_o six_o and_o seven_o column_n what_o so_o many_o groat_n amount_v unto_o the_o three_o next_o column_n what_o those_o gross_a or_o subtle_a sum_n do_v make_v in_o penny_n the_o three_o last_v in_o the_o least_o denomination_n of_o money_n &_o what_o the_o value_n rise_v to_o pound_n sterling_n shilling_n and_o penny_n as_o by_o their_o title_n in_o the_o head_n of_o these_o table_n do_v evident_o appear_v the_o benefit_n of_o this_o table_n by_o sundry_a example_n illustrate_v to_o ease_v the_o art_n of_o memory_n example_n i._n it_o be_v require_v without_o calculation_n what_o 2240_o or_o 20_o c_o gross_a amount_n unto_o in_o shilling_n look_v under_o its_o title_n and_o you_o will_v find_v 112_o l_o 0_o ss_z in_o groat_n 37_o l_o 6_o ss_z 8_o d._n so_o many_o penny_n come_v to_o 9_o l_o 6_o ss_z 8_o d._n and_o in_o farthing_n 2_o l_o 6_o ss_z 8_o d._n example_n ii_o in_o thing_n sell_v by_o retail_n admit_v a_o commodity_n vend_v for_o 3_o half_a penny_n the_o pound_n and_o it_o be_v require_v at_o that_o rate_n how_o much_o it_o come_v unto_o by_o the_o tun_n i_o take_v it_o in_o the_o least_o denomination_n of_o coin_n that_o be_v 6_o farthing_n and_o at_o one_o farthing_n the_o pound_n under_o that_o title_n i_o find_v 2_o l_o 6_o ss_z 8_o d._n for_o which_o you_o must_v impose_v so_o much_o on_o every_o farthing_n contain_v in_o the_o price_n which_o be_v 6._o then_o consequent_o the_o sum_n must_v be_v 6_o time_n 2_o l._n second_o 6_o time_n 6_o ss_z and_o also_o 6_o time_n 8_o d._n or_o for_o brevity_n 6_o time_n 2_o l_o be_v 12_o l_o and_o 6_o noble_n be_v 2_o l._n in_o all_o 14_o l_o at_o 1_o Â½_n d_o the_o lb_n as_o be_v require_v example_n iii_o at_o 3_o d_o the_o pound_n what_o come_v a_o ton_n unto_o under_o the_o title_n of_o penny_n i_o find_v 9_o l_o 6_o sh_z 8_o d_o at_o a_o penny_n the_o lb._n than_o 3_o time_n that_o be_v 28_o l._n admit_v a_o commodity_n at_o 8_o d_o the_o lb._n you_o may_v work_v this_o as_o before_o but_o be_v the_o price_n be_v 2_o groat_n under_o that_o title_n you_o will_v discover_v 37_o l_o 6_o sh_z 8_o d._n and_o since_o 2_o groat_n be_v the_o price_n of_o one_o lb_n that_o double_v be_v 74_o l_o 13_o sh_z 4_o d._n if_o the_o price_n have_v be_v 3_o sh_n the_o lb_n the_o ton_n will_v have_v come_v unto_o 336_o l_o as_o by_o the_o table_n be_v evident_a example_n iu._n how_o much_o come_v 10_o d_o a_o day_n unto_o by_o the_o year_n i_o look_v down_o in_o the_o table_n for_o 365_o the_o number_n of_o day_n in_o a_o vulgar_a year_n and_o under_o the_o title_n of_o penny_n i_o find_v 1_o l_o 10_o sh_z 5_o d._n now_o 10_o time_n that_o be_v 15_o l_o 4_o sh_z 2_o d_o or_o sum_n it_o up_o in_o your_o memory_n thus_o viz._n 10_o l_o then_o 10_o angel_n 10_o groat_n and_o 10_o d._n or_o take_v it_o in_o groat_n and_o penny_n as_o 6_o l_o 1_o sh_z 8_o d_o and_o 1_o l_o 10_o sh_z 5_o d_o makes_z 7_o l_o 12_o sh_z 1_o d._n this_o double_v the_o question_n depend_v on_o 2_o groat_n and_o 2_o penny_n the_o sum_n will_v be_v as_o before_o 15_o l_o 4_o sh_z 2_o d._n example_n v._n if_o one_o pound_n of_o cheese_n cost_v 3_o Â¾_n d_o what_o come_v the_o weigh_v unto_o this_o proper_o belong_v to_o a_o certain_a quantity_n of_o wool_n and_o cheese_n consi_v of_o 32_o clove_n whereof_o one_o contain_v 8_o lb_n so_o the_o weigh_v be_v 256_o lb._n which_o have_v find_v in_o the_o table_n i_o seek_v it_o in_o the_o column_n of_o penny_n and_o find_v 1_o l_o 1_o sh_z 4_o d._n and_o in_o the_o row_n of_o farthing_n 5_o sh_z 4_o d._n the_o sum_n 1_o l_o 6_o sh_z 8_o d._n and_o be_v that_o there_o be_v 3_o time_n so_o much_o to_o be_v impose_v in_o either_o denominaation_n the_o sum_n be_v 4_o l_o for_o the_o weigh_v at_o the_o rate_n propound_v example_n vi._n wine_n sell_v at_o 2_o sh_z 5_o d_o the_o gallon_n how_o much_o be_v that_o a_o tun_n contain_v 252_o gallon_n have_v find_v the_o number_n look_v against_o it_o the_o column_n of_o shilling_n and_o you_o will_v discover_v 12_o l_o 12_o sh_z at_z 12_o d_o the_o gallon_n which_o double_v be_v 25_o l_o 4_o sh_z to_o which_o add_v 5_o l_o 5_o sh_z for_o the_o 5_o d_o the_o sum_n be_v 30_o l_o 9_o s._n the_o column_n of_o penny_n answer_v that_o number_n be_v but_o 1_o l_o 1_o sh_z so_o it_o be_v easy_o multiply_v by_o 5._o or_o take_v it_o as_o mix_v in_o their_o several_a column_n of_o groat_n and_o penny_n it_o will_v be_v all_o one_o in_o the_o total_a example_n vii_o currant_n sell_v at_o 3_o Â¾_n d_o the_o pound_n how_o much_o come_v 1_o c_o weight_n gross_a unto_o the_o farthing_n contain_v in_o the_o price_n be_v 15_o and_o against_o 112_o in_o the_o last_o column_n i_o find_v 2_o sh_z 4_o d_o to_o be_v impose_v on_o every_o farthing_n that_o be_v 15_o groat_n &_o twice_o 15._o in_o all_o 1_o l_o 15_o s._n or_o take_v it_o in_o both_o column_n of_o penny_n and_o farthing_n as_o 3_o time_n 2_o sh_z 4_o d._n and_o thrice_o 9_o sh_n 4_o d._n if_o this_o question_n have_v be_v propound_v on_o 100_o lb_n subtle_a the_o answer_n will_v be_v 15_o penny_n and_o twice_o 15_o shilling_n that_o be_v 1_o l_o 11_o sh_z 3_o d._n example_n viii_o fish_n sell_v by_o the_o warp_n or_o couple_n at_o 2_o sh_n 10_o Â½_n d_o the_o warp_n what_o coâ—es_n 4_o c_z unto_o 60_o in_o this_o commodity_n be_v 120_o fi_n have_v to_o the_o c._n look_v 60_o in_o the_o table_n against_o which_o i_o find_v in_o the_o column_n of_o shilling_n 3_o l_o then_o for_o the_o 2_o shall_z i_o set_v down_o 6_o l_o or_o keep_v it_o in_o my_o memory_n in_o the_o next_o column_n i_o observe_v 1_o l_o and_o for_o the_o 2_o groat_n in_o the_o price_n 2_o l_o then_z for_z 2_o d_o in_o the_o column_n of_o penny_n i_o impose_v 2_o crown_n and_o for_o the_o 2_o farthing_n in_o the_o price_n 2_o sh_z 6_o d_o in_o all_z 8_o l_o 12_o sh_z 6_o d_o the_o price_n of_o 60_o couple_n now_o 4_o time_n that_o be_v 34_o l_o 10_o sh_z according_a to_o the_o demand_n example_n ix_o if_o 1_o pound_n of_o indigo_n cost_v 8_o sh_z 7_o d_o 3_o q._n what_o come_v a_o quarter_n of_o 100_o unto_o subtle_a the_o answer_n will_v be_v 10_o l_o 16_o sh_n 1_o d_o 3_o q._n look_v 25_o and_o for_o the_o 8_o sh_n in_o that_o column_n impose_v 10_o l._n for_o the_o 7_o d_o 14_o sh_z 7_o d._n and_o last_o for_o Â¾_n d_o take_z 1_o sh_z 6_o Â¼_n d_o the_o sum_n will_v be_v as_o it_o be_v before_o and_o according_a to_o my_o rule_n of_o practice_n lib._n 2._o parag_n 9_o by_o these_o 9_o example_n all_o obscurity_n in_o this_o kind_n be_v clear_v difficulty_n make_v easy_a and_o burden_n to_o the_o memory_n remove_v make_v facile_a even_o to_o common_a capacity_n without_o tedious_a rule_n of_o art_n the_o number_n weight_n and_o measure_n of_o commerce_n and_o trade-being_a know_v to_o those_o who_o be_v conversant_a or_o master_n in_o their_o own_o occupation_n and_o if_o otherwise_o this_o will_v be_v a_o guide_n to_o conduct_v they_o without_o deviation_n to_o the_o end_n of_o each_o gross_a sum_n and_o may_v be_v accommodate_v unto_o the_o number_n weight_n and_o measure_n of_o any_o foreign_a or_o transmarine_a place_n if_o occasion_n require_v or_o necessity_n urge_v which_o i_o refer_v to_o the_o ingenious_a any_o day_n of_o the_o year_n assign_v for_o the_o receipt_n or_o payment_n of_o money_n or_o other_o business_n to_o find_v what_o day_n of_o the_o week_n it_o will_v fall_v upon_o for_o any_o time_n to_o come_v the_o julian_n calendar_n bis_z new-year_n day_n Â _fw-fr month_n day_n Â _fw-fr 1659._o saturd_a i_o january_n 1_o 8_o 15_o 22_o 29_o âœš_o 1660_o sunday_n two_o february_n 5_o 12_o 19_o 26_o Â _fw-fr 1661._o tuesd_v iii_o march_v 5_o 12_o 19_o 26_o Â _fw-fr 1662._o wednesd_v iv_o april_n 2_o 9_o 16_o 23_o 30_o Â _fw-fr 1663._o thursd_a v_o may_v 7_o 14._o 21_o 28_o âœš_o 1664_o friday_n vi_o june_n 4_o 11_o 18_o

and_o day_n of_o payment_n and_o likewise_o all_o such_o debt_n as_o be_v due_a to_o he_o for_o all_o contract_n whether_o by_o paroll_n or_o obligation_n in_o writing_n if_o without_o limitation_n of_o time_n be_v always_o due_a upon_o demand_n make_v a_o inventory_n the_o title_n enter_v the_o form_n of_o it_o be_v usual_o like_o a_o common_a bill_n bear_v date_n the_o year_n of_o our_o lord_n with_o the_o month_n and_o day_n when_o the_o owner_n estate_n be_v survey_v his_o name_n subscribe_v thereunto_o upon_o the_o right_a hand_n or_o margin_n of_o each_o folio_n or_o page_n make_v 3_o column_n to_o inscribe_v the_o pound_n sterling_a shilling_n and_o penny_n both_o of_o the_o owner_n cash_n or_o ready_a money_n with_o the_o commodity_n as_o land_n house_n rent_n revenue_n reversion_n bond_n bill_n and_o obligation_n etc._n etc._n according_a to_o their_o value_n or_o sum_n due_a also_o the_o ware_n if_o any_o in_o his_o hand_n unsold_a with_o their_o quantity_n quality_n and_o value_n in_o number_n weight_n and_o measure_n these_o enter_v and_o sum_v up_o take_v a_o rveiew_n of_o the_o engagement_n as_o whether_o in_o factorage_n company-account_n or_o entrust_v for_o the_o use_n of_o other_o expect_v his_o own_o share_n or_o part_n if_o any_o with_o all_o his_o proper_a debt_n as_o ware_n of_o other_o unsold_a ready_a money_n in_o his_o hand_n accountable_a to_o other_o all_o bill_n bond_n &_o obligation_n by_o promise_n of_o payment_n yet_o not_o satisfy_v all_o under_o the_o notion_n of_o debt-demanders_a decrease_v the_o stock_n this_o inventory_n be_v best_a reserve_v private_o in_o the_o owner_n possession_n thus_o have_v balance_v his_o estate_n the_o party_n may_v plain_o discover_v what_o be_v his_o own_o and_o so_o commence_v a_o trade_n without_o confusion_n employ_v what_o stock_n he_o shall_v think_v convenient_a for_o any_o adventure_n and_o divers_a merchant_n do_v continual_o keep_v a_o inventory_n but_o usual_o after_o this_o manner_n viz._n a_o book_n in_o a_o large_a folio_n every_o page_n have_v 3_o column_n rule_v in_o either_o margin_n denote_v pound_n shilling_n and_o penny_n on_o the_o left-hand_a page_n his_o debt_n be_v insert_v and_o on_o the_o right_a hand_n what_o be_v due_a unto_o he_o and_o from_o who_o the_o money_n and_o ware_n with_o quantity_n and_o quality_n inscribe_v between_o they_o and_o sundry_a other_o book_n they_o use_v the_o chief_a they_o use_v be_v these_o follow_v the_o number_n and_o name_n of_o book_n usual_o keep_v in_o great_a merchant_n account_n be_v these_o i._n a_o book_n for_o petty_a expense_n and_o daily_a disbursment_n of_o trivial_a sum_n of_o money_n keep_v like_o a_o compendium_n of_o the_o cash-book_n and_o these_o small_a account_n collect_v into_o one_o sum_n each_o week_n and_o month_n with_o a_o general_a total_a every_o year_n ii_o a_o book_n of_o letter_n or_o missive_n character_n receive_v or_o send_v upon_o public_a or_o private_a business_n into_o foreign_a part_n with_o the_o date_n thereof_o and_o some_o breviate_v of_o the_o business_n iii_o a_o copy-book_n of_o charge_n at_o home_n or_o foreign_a account_n whether_o proper_a or_o for_o company_n by_o assignment_n for_o other_o or_o factorage_n with_o abreviate_v of_o receipt_n or_o acquittance_n iv_o a_o book_n in_o octavo_n of_o memorandum_n to_o help_v the_o memory_n contain_v bargain_n and_o sales_n promise_n engagement_n by_o paroll_n or_o design_v affair_n in_o commerce_n and_o trade_n with_o the_o year_n month_n and_o day_n the_o party_n name_n etc._n etc._n v._o a_o cash-book_n for_o inscribe_v the_o sum_n of_o money_n in_o the_o cashier_v possession_n with_o all_o receipt_n and_o payment_n whereby_o to_o find_v what_o remain_v in_o bank_n at_o any_o time_n and_o what_o debt_n be_v due_a one_o inscribe_v against_o the_o other_o vi_o he_o be_v or_o shop-book_n wherein_o be_v to_o be_v insert_v all_o ware_n good_n and_o commodity_n arrive_v or_o ship_v off_o receive_v in_o or_o deliver_v out_o import_v or_o export_v and_o to_o who_o with_o the_o year_n and_o day_n of_o the_o month_n every_o parcel_n distinguish_v by_o a_o line_n draw_v betwixt_o they_o describe_v in_o the_o margin_n the_o mark_n of_o the_o say_a parcel_n with_o some_o note_n of_o reference_n to_o the_o journal_n page_n and_o also_o the_o number_n weight_n and_o measure_n of_o each_o parcel_n with_o the_o quantity_n colour_n charge_n value_n or_o price_n of_o they_o vii_o beside_o these_o there_o be_v diurnal_o and_o book_n keep_v of_o ship-account_n whether_o outward_a or_o homeward_o bind_v viz._n daily_a occurrence_n ship-expence_n charge_n and_o disbursement_n accidental_a etc._n etc._n viii_o a_o book_n of_o fraighcage_n cargazones_n or_o bill_n of_o lade_n mariner_n wage_n and_o necessary_n for_o they_o with_o divers_a other_o supernumerary_a account_n not_o common_o keep_v by_o all_o merchant_n nor_o yet_o convenient_a for_o this_o treatise_n or_o my_o intend_a design_n the_o scope_n here_o aim_v at_o be_v a_o compendious_a form_n in_o keep_v the_o journal_n and_o leager-book_n by_o way_n of_o the_o italian_a manner_n include_v by_o debtor_n and_o creditor_n with_o divers_a precedent_n in_o post_v and_o enter_v the_o commodity_n or_o merchandise_n with_o the_o description_n of_o those_o book_n for_o to_o nominate_v all_o those_o which_o some_o particular_a merchant_n adventurer_n do_v keep_v will_v make_v a_o catalogue_n in_o a_o poor_a scholar_n library_n and_o herein_o superfluous_a each_o book_n of_o they_o be_v but_o a_o relative_a index_n unto_o the_o two_o last_o the_o diary_n or_o day-book_n aught_o to_o be_v in_o a_o large_a folio_n upon_o the_o front_n thereof_o write_v the_o year_n of_o our_o lord_n and_o saviour_n in_o numeral_a letter_n arithmetical_a character_n or_o both_o than_o the_o title_n of_o journal_n note_v with_o a_o capital_a letter_n as_o a_o b_o or_o c_o etc._n etc._n thus_o make_v conspicuous_a the_o title_n of_o each_o page_n or_o parcel_n within_o the_o book_n be_v date_v with_o the_o year_n month_n and_o day_n of_o any_o ware_n good_n or_o commodity_n buy_v sell_v exchange_v receive_v in_o or_o deliver_v out_o every_o page_n on_o the_o right_a hand_n have_v 3_o column_n in_o the_o margin_n express_v in_o money_n the_o value_n of_o the_o say_a good_n or_o ware_n inscribe_v in_o pound_n sterling_a shilling_n and_o penny_n etc._n etc._n and_o upon_o the_o margin_n on_o the_o left_a hand_n one_o column_n for_o 1.2.3.4.5_o etc._n etc._n as_o quotation_n to_o the_o leaguer_n page_n and_o folio_n beside_o all_o this_o it_o be_v convenient_a to_o enter_v the_o mark_n number_n weight_n and_o measure_n of_o the_o commodity_n or_o parcel_n the_o debtor_n and_o creditor_n name_n with_o the_o time_n place_n and_o manner_n of_o payment_n or_o what_o be_v convenient_a to_o be_v insert_v in_o explain_v the_o contract_n whether_o import_v or_o export_v good_n without_o blot_v or_o interline_v any_o thing_n x._o the_o leaguer_n be_v a_o collection_n of_o all_o the_o merchant_n book_n draw_v together_o in_o a_o large_a folio_n charge_v upon_o some_o account_n in_o this_o order_n as_o the_o book_n be_v oâ—ened_v â—lace_v the_o creditor_n upon_o the_o right_a hand_n page_n and_o all_o the_o debtor_n on_o the_o left_a the_o page_n number_v by_o 1.1.2.2_o so_o as_o the_o dr._n and_o cr._n make_v but_o one_o folio_n u_o on_o either_o side_n in_o both_o margin_n there_o be_v also_o column_n which_o bind_v the_o matter_n inscribe_v in_o number_n various_a as_o the_o merchant_n please_v or_o the_o multiplicity_n of_o their_o employment_n shall_v require_v whereof_o i_o will_v râ—nder_v some_o precedent_n hereafter_o the_o word_n most_o frequent_o use_v in_o transport_v or_o post_v of_o ware_n or_o commodity_n from_o the_o journal_n or_o diary_n into_o the_o leager-book_n be_v these_o in_o the_o first_o place_n on_o the_o debtor_n side_n inscribe_v the_o word_n too_o after_o which_o let_v the_o account_n immediate_o follow_v and_o on_o the_o creditor_n part_n usual_o the_o first_o word_n be_v by_o precede_v the_o name_n of_o that_o account_n and_o note_v that_o every_o parcel_n be_v charge_v and_o discharge_v with_o the_o same_o sum_n and_o observe_v that_o most_o account_n be_v best_a write_v in_o one_o line_n or_o so_o compendious_a as_o you_o can_v some_o man_n of_o very_a great_a commerce_n and_o trade_n keep_v a_o calendar_n register_n or_o a_o alphabetical_a index_n of_o the_o name_n of_o man_n ware_n ship_n and_o voyage_n with_o a_o mutual_a reference_n of_o number_n to_o these_o and_o the_o journal-page_n where_o the_o good_n be_v eâ—â—red_v according_a to_o debtor_n and_o creditor_n and_o this_o be_v always_o annex_v before_o the_o leaguer_n either_o side_n or_o page_n of_o the_o leaguer_n be_v note_v with_o one_o and_o the_o same_o number_n the_o definition_n of_o debtor_n and_o creditor_n by_o debtor_n or_o debtor_n in_o merchant_n

and_o measure_n p._n 35._o pr._n 29._o to_o 32._o factorage_n p._n 39_o pr._n 33._o to_o 36._o cambio_z maritimo_fw-la sea-hazard_n or_o bottomree_a p._n 44._o pr._n 37._o part_n ii_o definition_n and_o etymology_n of_o usury_n and_o interest-money_n p_o 47._o simple_a interest_n in_o forbearance_n where_o the_o principal_a interest_n and_o time_n be_v of_o whole_a or_o mix_v denomination_n p._n 50._o pr._n 38._o to_o 45._o discount_n or_o rebate_v of_o money_n for_o any_o interest_n or_o time_n p._n 59_o pr._n 46_o &_o 47._o table_n of_o forbearance_n and_o discount_n in_o compound_n interest_n calculate_v by_o decimall_n arithmetic_n from_o 1_o day_n to_o 25_o year_n inclusive_a at_o 6_o l._n per_fw-la cent_n per_fw-la ann_n p._n 64_o 65_o 66._o the_o construction_n of_o decimall_n table_n p._n 67._o in_o forbearance_n and_o discount_n of_o money_n rent_n pension_n annuity_n and_o reversion_n with_o the_o purchase_n of_o they_o to_o p._n 78._o the_o application_n of_o these_o table_n p._n 79._o quest_n 1._o to_o qu._n 21._o part_n iii_o rule_n of_o practice_n by_o memory_n and_o the_o assistance_n of_o one_o table_n p._n 103._o &_o 105._o the_o description_n and_o use_n of_o this_o table_n in_o 9_o example_n p._n 107._o a_o julian_n calendar_n for_o the_o receipt_n and_o payment_n of_o money_n or_o other_o business_n as_o to_o find_v what_o day_n of_o the_o week_n any_o day_n of_o the_o month_n shall_v fall_v upon_o for_o 11_o succeed_a year_n p._n 112._o a_o gregorian_a calendar_n for_o the_o receipt_n or_o payment_n of_o money_n beyond_o sea_n where_o that_o account_n be_v receive_v p._n 114._o the_o content_n of_o the_o second_o book_n divide_v into_o five_o part_n part_n i._n the_o dimension_n of_o all_o plain_a or_o right-lined_a triangle_n pag._n 117._o problem_n 1_o 2_o 3._o the_o dimension_n of_o board_n glass_n hang_n wainscot_n pavement_n land_n etc._n etc._n p._n 122._o pr._n 4_o 5_o 6._o reduction_n of_o any_o square_a superficies_n from_o a_o great_a to_o a_o less_o and_o the_o contrary_a p._n 129._o pr._n 7._o how_o to_o make_v the_o carpenter_n ruler_n for_o the_o dimension_n of_o any_o superficies_n measure_v by_o the_o foot_n or_o yard_n square_a p._n 136._o pr._n 8._o to_o find_v the_o content_n of_o a_o square_a include_v any_o circle_n propound_v p._n 134._o pr._n 9_o the_o diameter_n of_o any_o circle_n know_v to_o find_v the_o great_a circumscribe_v quadrangle_n p._n 135._o pr._n 10._o to_o find_v the_o near_a quadrature_n of_o a_o circle_n p._n 137._o pr._n 11._o the_o dimension_n of_o solid_a body_n p._n 139._o prob_fw-la 12._o to_o pr._n 14._o a_o demonstration_n in_o the_o commensuration_n of_o taper_a timber_n p._n 147._o to_o divide_v the_o carpenter_n ruler_n for_o the_o measure_n of_o solid_a body_n p._n 151._o part_n ii_o the_o dimension_n of_o round_a and_o concave_a measure_n p._n 155._o prob_fw-la 1._o the_o gage_v or_o measure_v of_o cask_n from_o the_o runlet_n to_o the_o tun_n either_o of_o wine_n or_o beer_n p._n 158._o pr._n 2._o by_o the_o diameter_n of_o any_o circle_n to_o find_v the_o circumference_n p._n 160._o pr._n 3._o with_o the_o diameter_n of_o two_o circle_n and_o the_o circumference_n of_o the_o one_o how_o to_o find_v the_o other_o or_o the_o contrary_a p._n 161._o pr._n 4._o with_o the_o diameter_n and_o superficies_n of_o one_o circle_n to_o find_v the_o content_n of_o any_o other_o the_o diameter_n be_v know_v p._n 161._o pro._n 5._o with_o the_o superficial_a content_n of_o two_o circle_n give_v and_o one_o diameter_n to_o find_v the_o other_o p._n 162._o pr._n 6._o to_o find_v the_o convex_a superficies_n of_o any_o sphere_n or_o globe_n who_o diameter_n or_o circumference_n be_v know_v and_o that_o four_o several_a way_n p._n 163._o pr._n 7._o by_o the_o diameter_n or_o circumference_n of_o any_o sphere_n or_o globe_n know_v to_o find_v the_o solid_a content_n 3_o several_a way_n p._n 194._o pr._n 8._o with_o the_o diameter_n and_o weight_n of_o any_o sphere_n or_o globe_n to_o find_v the_o weight_n of_o any_o other_o whole_a diameter_n be_v know_v p._n 166._o pr._n 9_o part_n iii_o with_o the_o diameter_n of_o 2_o bullet_n know_v with_o the_o weight_n of_o one_o to_o discover_v the_o other_o p._n 169._o proposit_v 1._o by_o the_o weight_n of_o 2_o bullet_n know_v and_o diameter_n of_o the_o one_o to_o find_v the_o other_o p._n 70._o prop._n 2._o compendious_a rule_n for_o martial_v of_o soldier_n in_o all_o right_a angle_a form_n of_o battle_n with_o their_o definition_n p._n 172._o prop._n 3_o 4_o 5_o 6._o the_o encamp_a of_o soldier_n in_o their_o several_a quarter_n p._n 176._o pr._n 7._o the_o height_n of_o any_o wall_n or_o tower_n be_v know_v to_o find_v the_o length_n of_o a_o scale_a ladder_n p._n 177._o pr._n 8._o to_o find_v the_o height_n of_o any_o wall_n or_o tower_n that_o be_v accessible_a p._n 178._o to_o find_v the_o distance_n to_o any_o fort_n or_o place_n though_o not_o accessible_a p._n 179._o pr._n 10_o 11_o 12._o in_o a_o city_n castle_n or_o fort_n to_o be_v beleaguer_v how_o to_o proportion_v the_o man_n and_o victual_n gun_n and_o the_o powder_n whereby_o to_o make_v the_o work_v tenentable_a for_o any_o time_n limit_v p._n 182._o pr._n 13._o to_o pr._n 16._o general_n rule_n and_o observation_n of_o experience_a engineer_n and_o gunner_n p._n 189._o part_n iu._n the_o form_n of_o keep_v merchant_n book_n of_o account_n after_o the_o italian_a manner_n in_o form_n of_o debtor_n and_o creditor_n p._n 233_o architectonice_n or_o the_o art_n of_o building_n as_o a_o introduction_n to_o young_a surveyor_n of_o the_o estimate_n valuation_n and_o contract_n from_o p._n 1._o to_o p._n 5._o the_o manner_n in_o take_v of_o a_o survey_n of_o mason_n work_n by_o the_o great_a p._n 6_o 7_o 8_o 9_o a_o bill_n of_o measure_n with_o the_o charge_n in_o money_n according_a to_o the_o article_n of_o agreement_n p._n 10._o estimate_n contract_n rate_n rule_n and_o proportion_n observe_v by_o carpenter_n p._n 11._o proportion_n and_o dimension_n of_o a_o roof_n p._n 12._o the_o material_n valuation_n and_o proportion_n in_o cover_v of_o structure_n and_o finish_v of_o they_o to_o make_v they_o tenentable_a and_o commodious_a by_o sundry_a artificer_n p._n 15_o to_o 30._o the_o five_o order_n of_o column_n or_o pillar_n describe_v with_o the_o artificer_n and_o inventor_n of_o they_o p._n 31._o to_o 34._o finis_fw-la the_o first_o book_n proposition_n i._n a_o grocer_n buy_v 5_o Â¾_n c_o gross_a weight_n of_o ware_n which_o lie_v he_o in_o with_o all_o charge_n defray_v 163_o lb_n 13_o ss_z 8_o d._n sterling_a and_o it_o be_v demand_v what_o one_o lb_a cost_n or_o how_o to_o sell_v it_o by_o the_o pound_n without_o gain_n or_o loss_n the_o rule_n as_o the_o quantity_n of_o any_o one_o commodity_n or_o ware_n be_v unto_o the_o total_a price_n with_o the_o cost_n and_o charge_n so_o will_v a_o l_o or_o a_o unite_v of_o the_o first_o denomination_n be_v in_o proportion_n unto_o the_o rate_n it_o may_v be_v sell_v for_o a_o explanation_n of_o wholesale_n and_o retail_n lib._n 2._o parag._n 8._o observe_v in_o all_o commodity_n where_o a_o hundred_o gross_a be_v mention_v it_o be_v 112_o lb_n usual_o note_v with_o a_o c._n for_o centum_fw-la as_o in_o this_o example_n where_o five_o hundred_o and_o three_o quarter_n be_v give_v which_o 5_o c_o multiply_v by_o 112_o lb_n and_o Â¾_n or_o 84_o lb_n add_v unto_o it_o the_o product_n with_o the_o addition_n will_v make_v the_o sum_n of_o 644_o lb_n for_o the_o subtle_a weight_n and_o the_o first_o number_n the_o second_o number_n in_o proportion_n be_v the_o price_n viz._n 3273_o â…”_n 8_o the_o three_o number_n be_v 1_o lb_n on_o which_o the_o demand_n be_v make_v these_o compound_a fâ—actions_n you_o may_v reduce_v into_o the_o least_o denomination_n or_o the_o least_o but_o one_o as_o in_o the_o table_n where_o by_o the_o rule_n of_o proportion_n in_o either_o way_n you_o will_v find_v thâ—t_v one_o lb_n of_o those_o ware_n stand_v the_o buyer_n in_o 5_o ss_z 1_o d_o or_o as_o in_o the_o table_n 5_o 2_o â—2_n ss_z with_o all_o charge_n defray_v according_a to_o the_o demand_n and_o state_n of_o the_o question_n propound_v proposition_n ii_o how_o to_o sell_v aâ—y_a ware_n or_o commodity_n by_o retail_n the_o prâ—ce_n or_o value_n of_o the_o whole_a parâ—el_n be_v know_v and_o to_o gain_v a_o certain_a sum_n of_o money_n in_o the_o whole_a quantity_n require_v the_o rule_n as_o the_o quantity_n of_o the_o whole_a commodity_n buy_v be_v unto_o the_o sum_n of_o the_o price_n and_o gain_v require_v so_o will_v 1_o c._n 1_o lb_n or_o 1_o yard_n of_o the_o first_o denomination_n be_v proportional_a unto_o the_o price_n it_o must_v be_v sell_v at_o a_o explanation_n where_o

gain_n be_v impose_v upon_o the_o parcel_n lib._n 2._o parag._n 8._o admit_v a_o draper_n buy_v 58_o yard_n of_o cloth_n which_o stand_v he_o in_o with_o all_o charge_n 13_o lb_n 1_o ss_z at_o what_o rate_n by_o the_o yard_n must_v he_o sell_v it_o for_o whereby_o to_o gain_v 1_o lb_v 9_o ss_z add_v the_o require_a profit_n unto_o the_o price_n the_o sum_n will_v be_v 14_o lb_n 10_o ss_z that_o be_v 58_o crown_n or_o in_o shilling_n 290_o to_o avoid_v fraction_n the_o least_o denomination_n be_v usual_o best_o here_o the_o four_o proportional_a find_v will_v be_v 5_o ss_z the_o price_n of_o one_o yard_n according_a to_o the_o gain_v require_v as_o by_o the_o operation_n in_o the_o table_n be_v make_v evident_a proposition_n iii_o a_o tradesman_n buy_v a_o whole_a piece_n of_o cloth_n contain_v 28_o Â¾_n yard_n which_o do_v stand_v he_o in_o with_o all_o charge_n defray_v 19_o lb_n 3_o ss_z 4_o d._n sterling_a how_o shall_v he_o sell_v it_o whereby_o to_o gain_v 1_o 10_o part_n in_o every_o yard_n or_o force_v unto_o so_o much_o loss_n in_o retail_n the_o rule_n rule_v 1_o as_o the_o denominator_fw-la be_v to_o the_o price_n know_v so_o the_o fraction_n sum_n as_o the_o quantity_n give_v rule_v 2._o so_o a_o unite_v of_o the_o same_o a_o explanation_n where_o gain_n or_o loss_n be_v impose_v upon_o a_o part_n lib._n 2._o parag._n 10._o this_o question_n be_v state_v according_a to_o the_o double_a rule_n of_o proportion_n either_o for_o gain_n or_o loss_n by_o change_v the_o extreme_n in_o the_o first_o rule_n viz._n in_o this_o 10_o for_o 11_o the_o fraction_n in_o all_o such_o case_n make_v two_o term_n the_o denominator_fw-la in_o the_o first_o place_n be_v divider_n the_o price_n of_o the_o ware_n or_o merchandize_n the_o second_o term_n and_o the_o sum_n both_o of_o numerator_n and_o denominator_fw-la must_v possess_v the_o three_o place_n if_o for_o gain_v but_o must_v be_v make_v divider_n if_o the_o proposition_n be_v for_o loss_n the_o first_o number_n in_o the_o second_o rule_v aught_o to_o be_v the_o quantity_n propound_v either_o in_o number_n weight_n or_o measure_n and_o the_o last_o number_n a_o unite_v on_o which_o the_o query_n be_v make_v of_o gain_n or_o loss_n or_o which_o be_v all_o one_o if_o a_o improper_a fraction_n as_o in_o the_o table_n 4_o 4_o the_o denominator_n be_v make_v equal_a viz._n 135_o 4_o and_o 4_o 4_o and_o consequent_o may_v be_v omit_v one_o be_v a_o multiplier_n the_o other_o a_o divider_n their_o product_n be_v these_o 1150_o 4_o Â·_o 115_o 6_o Â·_o 44_o 4_o Â·_o the_o first_o and_o three_o numerator_n may_v be_v reduce_v by_o 2_o and_o their_o denominator_n cancel_v they_o will_v stand_v thus_o as_o in_o the_o three_o table_n viz._n as_o 575_o to_o 115_o 6_o so_o 22_o unto_o 253_o 345_o which_o be_v in_o money_z 14_o ss_z 8_o d_o the_o price_n of_o one_o yard_n with_o the_o profit_n require_v the_o reason_n be_v evident_a for_o if_o 20_o ss_z be_v the_o integer_fw-la the_o numerator_n will_v have_v be_v 2_o ss_z and_o consequent_o the_o proportion_n as_o 20_o to_o the_o middle_a term_n so_o 228_o the_o sum_n of_o numerator_n and_o denominator_fw-la to_o the_o gain_v require_v this_o question_n may_v be_v easy_o solve_v without_o a_o double_a rule_n as_o thus_o by_o the_o first_o proposition_n you_o may_v find_v that_o one_o yard_n cost_v 13_o ss_z 4_o d._n 1_o 10_o part_n of_o it_o be_v 1_o ss_z 4_o d_o the_o sum_n 14_o ss_z 8_o d._n as_o before_o but_o this_o may_v be_v of_o good_a use_n in_o other_o question_n and_o therefore_o convenient_o insert_v proposition_n iu._n how_o a_o commodity_n must_v be_v sell_v by_o retail_n upon_o any_o certain_a loss_n of_o money_n in_o the_o whole_a parcel_n or_o quantity_n the_o rule_n as_o the_o quantity_n of_o any_o commodity_n or_o parcel_n be_v to_o the_o difference_n betwixt_o the_o price_n and_o loss_n so_o shall_v 1_o c_o 1_o lb_n or_o one_o yard_n of_o the_o commodity_n itself_o be_v proportionable_a unto_o the_o rate_n it_o must_v be_v sell_v at_o a_o explanation_n upon_o loss_n sustain_v in_o any_o commodity_n lib._n 2._o parag._n 8._o a_o grocer_n buy_v 340_o lb_n subtle_a of_o a_o commodity_n which_o cost_v he_o in_o ready_a money_n with_o his_o charge_n 13_o lb._n 16_o ss_z 3_o d._n and_o by_o this_o parcel_n he_o lose_v 1_o lb._n 1_o ss_z 3_o d._n what_o be_v it_o sell_v for_o a_o pound_n the_o loss_n in_o the_o whole_a subtract_v from_o the_o price_n it_o cost_v the_o remainder_n or_o difference_n be_v 12_o lb._n 15_o ss_z which_o in_o penny_n be_v 3060_o d._n so_o the_o proportion_n will_v be_v as_o 340_o lb_n be_v to_o 3060_o do_v so_o shall_v 1_o lb_n be_v to_o the_o price_n of_o it_o which_o be_v 9_o do_v as_o in_o the_o table_n appear_v and_o as_o for_o the_o trial_n of_o it_o the_o proportion_n will_v be_v as_o 1_o lb_n be_v unto_o 9_o d_o so_o will_v 340_o lb_n be_v unto_o 3060_o do_v or_o 12_o lb._n 15_o ss_z as_o by_o the_o first_o proposition_n proposition_n v._n upon_o the_o price_n of_o any_o commodity_n know_v how_o to_o sell_v it_o by_o wholesale_n or_o retail_n with_o gain_n or_o loss_n at_o any_o rate_n in_o the_o 100_o lb_n that_o shall_v be_v requiâ—ed_v the_o rule_n as_o the_o sum_n of_o 100_o lb_v sterling_a be_v in_o proportion_n unto_o the_o price_n of_o the_o ware_n so_o shall_v the_o rate_n in_o money_n for_o gain_n or_o loss_n be_v in_o proportion_n to_o a_o four_o number_n which_o add_v to_o the_o price_n of_o the_o commodity_n give_v the_o gain_n and_o subtract_v from_o it_o show_v the_o loss_n sustain_v at_o the_o rate_n require_v a_o explanation_n of_o gain_n or_o loss_n as_o any_o â—ate_z per_n cent._n lib._n 2._o parag._n 8._o suppose_v 1_o groâ—e_v buy_v 4_o c_o weight_n of_o prune_n at_o 16_o ss_z 8_o d._n the_o hundred_o how_o must_v he_o sell_v they_o by_o wholesale_n again_o and_o to_o make_v of_o his_o money_n 20_o lb_n in_o the_o 100_o lb._n or_o after_o that_o rate_n the_o answer_n will_v be_v 3_o ss_z 4_o d._n which_o if_o take_v from_o the_o price_n at_o which_o they_o be_v buy_v the_o remainder_n or_o difference_n be_v 13_o ss_z 4_o d._n and_o if_o sell_v at_o that_o price_n there_o will_v be_v after_o the_o rate_n of_o 20_o lb_n in_o the_o 100_o lb_v lose_v and_o if_o 3_o â…“_n ss_z be_v add_v to_o the_o price_n at_o which_o it_o be_v buy_v the_o sum_n be_v 20_o ss_z and_o if_o vend_v at_o that_o rate_n it_o will_v bring_v the_o desire_a profit_n if_o this_o have_v be_v cloth_n and_o the_o whole_a piece_n have_v contain_v yard_n 28_o Â½_n which_o coâ—t_v in_o money_n 23_o lb._n 15_o ss_z by_o the_o first_o proposition_n find_v the_o price_n of_o one_o yard_n if_o it_o must_v be_v sell_v by_o retail_n the_o answer_n will_v be_v 16_o â…”_n ss_z now_o the_o question_n at_o 20_o lb_fw-la per_fw-la centum_fw-la will_v be_v the_o same_o by_o retail_n as_o be_v the_o former_a in_o wholesale_n many_o of_o these_o question_n may_v be_v perform_v without_o calculation_n as_o in_o this_o example_n where_o 20_o lb_fw-la per_fw-la cent_n be_v require_v the_o profit_n in_o money_n here_o be_v â…•_n and_o so_o the_o gain_n or_o loss_n in_o the_o commodity_n must_v also_o be_v â…•_n the_o price_n in_o this_o be_v 16_o ss_z 8_o d._n that_o be_v 50_o groat_n and_o â…•_n part_v of_o it_o be_v 10_o groat_n to_o be_v add_v or_o subtract_v according_o as_o it_o be_v gain_v or_o loss_n proposition_n vi._n the_o price_n of_o any_o ware_n or_o merchandise_n by_o which_o the_o say_a commodity_n be_v buy_v and_o sell_v what_o gain_n be_v make_v or_o loss_n sustain_v in_o the_o 100_o lb_n or_o after_o what_o rate_n or_o proportion_n the_o rule_n as_o the_o price_n by_o which_o any_o merchandise_n be_v buy_v shall_v be_v in_o value_n or_o proportion_n unto_o 100_o lb_v sterling_a so_o will_v the_o price_n of_o the_o ware_n by_o which_o they_o be_v sell_v be_v in_o proportion_n to_o the_o true_a gain_n or_o loss_n sustain_v a_o explanation_n of_o gain_n or_o loss_n sustain_v at_o any_o rate_n per_fw-la cent._n lib._n 2._o parag._n 8._o a_o draper_n buy_v kersey_n at_o 6_o lb._n 13_o ss_z 4_o d._n the_o piece_n and_o sell_v they_o all_o again_o for_o 7_o lb._n 10_o ss_z how_o much_o he_o gain_v and_o after_o what_o rate_n in_o the_o 100_o lb_n be_v the_o thing_n require_v the_o price_n by_o which_o it_o be_v buy_v and_o likewise_o the_o rate_n at_o which_o it_o be_v sell_v must_v be_v reduce_v into_o one_o denomination_n or_o by_o the_o rule_n of_o fraction_n viz._n as_o 20_o 3_o lb_o the_o price_n be_v to_o 100_o lb_n so_o 15_o 2_o unto_o 112_o Â½_n

the_o l_o and_o sell_v they_o all_o again_o at_o 9_o ss_z the_o l_o what_o day_n of_o payment_n must_v he_o allow_v whereby_o to_o gain_v after_o the_o rate_n of_o 20_o l_o per_fw-la cent_n per_fw-la ann_n in_o all_o such_o like_a case_n as_o 100_o l_o to_o 12_o month_n so_o 20_o l._n second_o as_o 8_o ss_z the_o price_n unto_o 1_o ss_z the_o gain_n make_v the_o first_o rule_n be_v reverse_v the_o other_o direct_v in_o the_o three_o row_n of_o the_o table_n stand_v the_o product_n and_o under_o that_o again_o in_o the_o four_o table_n be_v place_v the_o operation_n in_o a_o reverse_v proportion_n but_o may_v be_v make_v direct_a if_o you_o please_v the_o answer_n to_o the_o question_n here_o in_o this_o be_v 7_o month_n and_o 15_o day_n the_o time_n of_o payment_n which_o make_v the_o gain_n proportionable_a unto_o 20_o l_o per_fw-la cent_n per_fw-la annum_fw-la the_o thing_n require_v have_v the_o proposition_n be_v of_o loss_n the_o operation_n be_v the_o same_o so_o it_o need_v no_o example_n but_o this_o proposition_n xii_o if_o 124_o l_o of_o cinnamon_n cost_v 20_o l_o sterling_a and_o that_o sell_v again_o for_o 23_o l_o what_o day_n of_o payment_n be_v there_o give_v when_o the_o merchant_n make_v after_o the_o rate_n of_o 16_o l_o per_fw-la cent_n per_fw-la ann_n of_o his_o money_n so_o lay_v out_o this_o question_n will_v be_v solve_v by_o the_o last_o proposition_n and_o find_v that_o the_o day_n of_o payment_n be_v at_o the_o term_n of_o 11_o month_n and_o Â¼_n of_o a_o month_n proposition_n xiii_o with_o the_o price_n and_o quantity_n of_o any_o ware_n on_o merchandise_n to_o find_v how_o they_o must_v be_v sell_v upon_o several_a day_n of_o payment_n either_o in_o gain_n or_o loss_n at_o any_o rate_n give_v per_fw-la cent_n per_fw-la ann_n the_o rule_n rule_n 1_o as_o 100_o l_o sterling_a shall_v be_v to_o the_o gain_n so_o the_o price_n of_o ware_n so_o shall_v 12_o month_n rule_n 2._o to_o the_o prod_n of_o time_n a_o explanation_n of_o gain_n or_o loss_n in_o several_a payment_n lib._n 2._o parag._n 10._o a_o merchant_n have_v certain_a ware_n which_o stand_v he_o in_o 60_o l_o these_o good_n he_o sell_v unto_o another_o who_o pay_v he_o so_o much_o money_n for_o earnest_n as_o that_o the_o merchant_n make_v of_o his_o money_n lay_v out_o 12_o l_o per_fw-la cent_n per_fw-la a_o yet_o be_v to_o receive_v it_o at_o two_o several_a payment_n viz._n 40_o l_o or_o â…”_n of_o his_o money_n 2_o month_n after_o the_o ware_n be_v deliver_v and_o the_o other_o 20_o l_o or_o â…”_n at_o the_o term_n of_o 3_o month_n after_o the_o contract_n now_o to_o find_v what_o money_n the_o buyer_n pay_v down_o observe_v this_o table_n where_o in_o the_o first_o row_n stand_v this_o proportion_n as_o 100_o l_o be_v to_o 12_o l_o gain_n so_o 60_o l_o the_o price_n of_o the_o ware_n in_o the_o first_o place_n of_o the_o second_o rule_v the_o term_n of_o a_o year_n in_o month_n be_v insert_v last_o â…“_n or_o 2_o â—_o 3_o month_n which_o number_n be_v compose_v by_o the_o sum_n produce_v of_o the_o term_n for_o payment_n and_o the_o money_n viz._n as_o 2_o month_n by_o â—_o 3_o of_o the_o money_n to_o be_v pay_v and_o â—_o 3_o of_o the_o money_n by_o 3_o month_n who_o sum_n be_v â—_o 3._o these_o term_n multiply_v according_a to_o the_o double_a rule_n direct_v will_v produce_v as_o in_o the_o three_o table_n these_o three_o number_n viz._n 1200._o 12._o 140._o which_o in_o the_o four_o table_n be_v reduce_v to_o 120.12_o 14._o and_o maybe_o make_v retain_v the_o same_o proportion_n 10._o 1._o 14._o or_o 5._o 1._o 7._o the_o quotient_n will_v be_v find_v by_o any_o of_o these_o or_o reduce_v unto_o 1_o â…–_n l._n that_o be_v 1_o l._n 8_o ss_z the_o earnest_n give_v and_o the_o rate_n at_o 12_o l._n per_fw-la cent_n per_fw-la ann_n as_o be_v require_v if_o there_o have_v be_v more_o time_n of_o payment_n give_v the_o proportional_a sum_n to_o be_v pay_v multiply_v by_o their_o peculiar_a term_n or_o respite_n of_o time_n give_v and_o those_o sum_n collect_v into_o one_o total_a the_o operation_n will_v be_v as_o in_o this_o last_o example_n proposition_n fourteen_o by_o the_o gain_n make_v or_o loss_n sustain_v per_fw-la cent_n per_fw-la ann_n to_o find_v what_o any_o other_o sâ—â—me_n must_v gain_v or_o â—â—se_v in_o any_o part_n of_o a_o year_n the_o rule_n rule_n 1._o as_o 100_o l_o in_o money_n be_v to_o the_o gain_n or_o loss_n so_o any_o other_o sum_n if_o for_o 12_o month_n rule_n 2._o what_o for_o 3_o mo._n a_o explanation_n of_o gainer_n loss_n proportionable_a to_o a_o stock_n and_o time_n lib._n 2._o parag._n 10._o admit_v a_o man_n employ_v his_o money_n in_o the_o way_n of_o trade_n by_o which_o he_o gain_v 16_o l_o per_n cent_n how_o much_o do_v he_o gain_v with_o 80_o l_o in_o the_o same_o employment_n for_o 3_o month_n time_n the_o state_n of_o the_o question_n or_o any_o of_o this_o kind_n by_o the_o first_o rule_n be_v thus_o as_o 100_o l_o to_o 16_o l_o the_o gain_n or_o loss_n what_o 80_o l_o in_o the_o second_o rule_n there_o be_v 12_o month_n and_o 3_o month_n their_o product_n according_a to_o this_o double_a rule_n of_o three_o be_v 1200_o and_o 240_o as_o in_o the_o three_o table_n and_o in_o the_o four_o table_n as_o 120_o to_o 16_o l_o gain_v so_o 24_o or_o reduce_v it_o will_v be_v as_o 5_o to_o 16_o so_o 1_o unto_o 3_o â…•_n l_o or_o 3_o l_o 4_o ss_z the_o proportional_a gain_n make_v by_o 80_o l_o in_fw-la 3_o month_n time_n if_o it_o have_v be_v employ_v to_o loss_n then_z 3_o l_o 4_o ss_z must_v have_v be_v subtract_v from_o the_o stock_n which_o in_o this_o proposition_n be_v 80_o l_o the_o remainder_n will_v be_v 76_o l_o 16_o ss_z the_o question_n solve_v proposition_n xv._o by_o the_o profit_n of_o a_o small_a stock_n in_o money_n and_o a_o short_a time_n to_o find_v what_o gain_n be_v make_v in_o the_o hundred_o per_fw-la ann_n or_o the_o contrary_a in_o loss_n to_o solve_v this_o and_o prove_v the_o last_o i_o will_v reverse_v the_o former_a proposition_n and_o suppose_v a_o tradesman_n employ_v 80_o l_o for_o the_o space_n of_o 3_o month_n in_o which_o time_n he_o gain_v 3_o l_o 4_o ss_z and_o here_o it_o be_v require_v to_o find_v after_o what_o rate_n it_o be_v per_fw-la cent_n per_fw-la ann_n the_o state_n of_o the_o question_n will_v be_v as_o 80_o l_o to_o 3_o â…“_n l_o the_o gain_n so_o 100_o l_o and_o if_o in_o 3_o month_n what_o in_o 12_o month_n or_o a_o year_n the_o answer_n to_o this_o will_v be_v as_o in_o the_o last_o prop._n 16_o l_o per_n cent_n per_fw-la a_o proposition_n xvi_o divers_a tradesman_n join_v their_o stock_n together_o with_o which_o they_o buy_v a_o commodity_n who_o price_n and_o quantity_n be_v know_v from_o whence_o they_o take_v unequal_a share_n what_o part_n then_o must_v every_o one_o pay_n the_o rule_n as_o the_o whole_a quantity_n of_o any_o merchandise_n be_v in_o proportion_n unto_o the_o whole_a price_n thereof_o so_o shall_v each_o particular_a man_n part_n or_o share_n be_v proportionable_a to_o the_o money_n he_o must_v pay_v a_o explanation_n in_o equation_n of_o payment_n in_o gain_n or_o loss_n lib._n 2._o parag._n 11._o four_o grocer_n do_v Â _fw-fr lb_n l_o ss_z Â _fw-fr at_fw-fr 240_o 30_o 00_o lb_n l_o b_o 300_o 37_o 10_o 1656_o 207._o c_o 516_o 64_o 10_o Â _fw-fr d_o 600_o 75_o 00_o the_o total_o 1656_o 207_o â—0_n join_v their_o stock_n together_o and_o buy_v with_o it_o 1656_o lb_n of_o pepper_n which_o cost_v they_o â—07_n l_o whreeof_o a_o do_v take_v for_o his_o part_n 240_o lb_n b_o 300_o lb_n c_o 516_o lb_n and_o d_o 600_o lb_n the_o total_a sum_n of_o the_o ware_n must_v be_v the_o first_o number_n the_o whole_a price_n the_o second_o and_o each_o particular_a the_o three_o number_n and_o then_o a_o must_v pay_v 30_o l._n second_o b_o 37_o l_o 10_o ss_z three_o c_o must_v disburse_v 64_o l_o 10_o ss_z and_o last_o d_o must_v pay_v 75_o l._n and_o in_o the_o same_o manner_n it_o will_v be_v proportion_v with_o gain_n or_o loss_n to_o each_o respective_a part_n as_o in_o the_o table_n proposition_n xvii_o in_o wholesale_n or_o by_o retail_n if_o the_o price_n of_o any_o two_o commodity_n be_v know_v with_o the_o price_n and_o quantity_n of_o the_o one_o to_o find_v what_o quantity_n of_o the_o other_o shall_v be_v equivalent_a to_o it_o the_o rule_n as_o the_o price_n of_o any_o ware_n the_o quantity_n unknown_a shall_v be_v in_o proportion_n unto_o 1_o or_o a_o unity_n of_o it_o so_o the_o price_n of_o that_o who_o quantity_n be_v know_v will_v be_v to_o a_o

answer_v to_o this_o question_n will_v be_v 113_o l_o 15_o s_n and_o so_o for_o any_o other_o of_o these_o kind_n proposition_n xxii_o a_o man_n deliver_v unto_o a_o merchant_n a_o certain_a sum_n of_o money_n to_o be_v receive_v of_o his_o factor_n upon_o bill_n of_o exchange_n in_o a_o foreign_a country_n and_o coin_n the_o rate_n and_o proportion_n of_o the_o money_n in_o both_o place_n be_v know_v the_o rule_n as_o a_o unite_v or_o any_o one_o piece_n of_o a_o know_a coin_n be_v in_o proportion_n unto_o a_o coin_n of_o another_o value_n so_o any_o sum_n of_o money_n deliver_v in_o the_o first_o coin_n unto_o the_o quantity_n to_o be_v receive_v of_o the_o second_o a_o explanation_n of_o exchange_n betwixt_o foreign_a coin_n exchange_n of_o all_o coin_n weight_n and_o measure_n of_o foreign_a place_n with_o one_o another_o be_v easy_o perform_v by_o the_o common_a rule_n of_o three_o if_o first_o reduce_v unto_o any_o certain_a proportion_n by_o which_o mean_v any_o one_o thing_n may_v be_v convert_v into_o the_o species_n of_o another_o in_o respect_n of_o value_n or_o quantity_n as_o by_o some_o few_o proposition_n with_o example_n shall_v be_v illustrate_v and_o first_o for_o this_o suppose_v that_o sixty_o pound_n receive_v at_o a_o place_n where_o one_o pound_n be_v 13_o ss_z 4_o d_o sterling_a or_o english_a how_o much_o must_v the_o man_n receive_v in_o london_n at_o 20_o s_o the_o pound_n sterling_n whereby_o to_o make_v they_o equal_a in_o value_n the_o answer_n to_o this_o proposition_n will_v be_v 800_o s_o or_o 40_o l_o as_o in_o the_o table_n equal_a to_o 60_o mark_n the_o value_n of_o one_o be_v 13_o s_o 4_o d._n have_v the_o question_n be_v state_v in_o any_o other_o denomination_n the_o solution_n will_v have_v prove_v the_o same_o with_o the_o second_o term_n as_o 1_o l_o scotl._n to_o 40_o groat_n so_o 60_o l_o scotl._n unto_o 2400_o groat_n or_o in_o the_o fraction_n of_o a_o pound_n sterling_n thus_o as_o 1_o l_o scotl._n to_o â…”_n l_o sterl_n so_o 60_o l_o scotl._n to_o 40_o l._n sterl_n thus_o sometime_o you_o may_v ease_v yourself_o by_o change_v the_o denomination_n all_o be_v true_a depend_v upon_o the_o seven_o paragraph_n of_o my_o second_o book_n proposition_n xxiii_o any_o piece_n of_o coin_n if_o equal_a unto_o some_o one_o piece_n of_o another_o and_o that_o equivalent_a to_o a_o three_o to_o be_v exchange_v with_o the_o first_o how_o much_o money_n of_o the_o one_o will_v discharge_v a_o bill_n of_o the_o other_o this_o differ_v not_o essential_o from_o the_o last_o as_o admit_z 10_o ryalls_z be_v equal_a to_o one_o ducat_n and_o one_o of_o they_o worth_n 5_o s_z 6_o d_o how_o much_o money_n sterling_n will_v discharge_v a_o bill_n of_o exchange_n for_o 4500_o rial_n the_o proportion_n will_v be_v as_o 10_o ryal_n be_v to_o 5_o Â½_n ss_z what_o 4500_o rial_n the_o answer_v 2475_o s_o that_o be_v 123_o l_o 15_o s_o sterling_a the_o question_n solve_v for_o if_o a_o be_v make_v equal_a to_o b_o and_z b_o =_o to_o c_o then_z a_o and_z c_o be_v equal_a as_o by_o the_o second_o axiom_n lib._n 2_o par_fw-fr 7._o proposition_n xxiv_o if_o upon_o return_n of_o money_n a_o certain_a rare_a per_fw-la cent_n shall_v be_v require_v to_o find_v in_o any_o sum_n of_o money_n how_o much_o must_v be_v abate_v at_o the_o rate_n propound_v upon_o such_o exchange_n or_o return_v of_o money_n the_o rule_n as_o the_o sum_n of_o 100_o l_o with_o the_o allowance_n per_fw-mi cent_n shall_v be_v in_o proportion_n to_o 100_o l_o where_o it_o be_v to_o be_v pay_v so_o will_v any_o sum_n of_o money_n receive_v of_o a_o merchant_n be_v proportionable_a to_o the_o money_n that_o shall_v be_v deliver_v a_o explanation_n upon_o return_n of_o money_n after_o any_o rate_n per_fw-la cent_n lib._n 2._o parag._n 8._o a_o merchant_n of_o london_n be_v to_o return_v money_n to_o be_v deliver_v at_o durham_n as_o admit_v 616_o l_o receive_v by_o a_o carrier_n which_o to_o secure_v and_o deliver_v at_o the_o place_n appoint_v what_o be_v to_o be_v return_v the_o merchant_n do_v allow_v 2_o l_o 13_o s_z 4_o d_o per_fw-mi cent_n upon_o this_o abatement_n how_o much_o be_v the_o sum_n pay_v at_o durham_n first_o add_v unto_o 100_o l_o the_o money_n to_o be_v abate_v per_fw-la cent_n the_o total_a in_o this_o proposition_n will_v be_v 102_o l_o 13_o s_z 4_o d_o which_o must_v be_v the_o first_o number_n in_o the_o rule_n of_o three_o direct_v and_o will_v be_v in_o proportion_n thus_o as_o 102_o â…”_n l_o or_o make_v a_o improper_a fraction_n viz._n â—0â—_o 3_o to_o every_o 100_o l_o return_n so_o 616_o l_o receive_v will_v be_v proportionable_a unto_o 600_o l_o the_o proposition_n answer_v proposition_n xxv_o upon_o assurance_n and_o return_n of_o money_n at_o any_o rate_n in_o the_o pound_n sterl_n to_o find_v what_o a_o great_a or_o lesser_a sum_n will_v be_v worth_a assure_v at_o the_o rate_n propound_v observe_v in_o any_o proposition_n make_v the_o true_a state_n of_o the_o question_n and_o whether_o it_o be_v customary_a or_o of_o that_o predicament_n if_o customary_a it_o be_v something_o tolerable_a in_o small_a sum_n although_o a_o little_a erroneous_a this_o caveat_n concern_v other_o proposition_n only_a note_n well_o the_o difference_n of_o these_o in_o the_o last_o the_o assurancer_n be_v to_o have_v so_o much_o money_n out_o of_o the_o sum_n deliver_v to_o he_o as_o shall_v but_o discharge_v the_o money_n he_o return_v which_o the_o last_o rule_n do_v solve_v where_o the_o assurancer_n have_v 16_o l_o out_n of_o the_o 616_o l_o so_o answer_v the_o question_n in_o the_o rate_n require_v which_o admit_v impose_v upon_o every_o pound_n sterl_n the_o proportion_n will_v be_v as_o 1_o l_o be_v to_o the_o rate_n give_v so_o will_v the_o sum_n to_o be_v return_v unto_o the_o money_n due_a upon_o it_o for_o the_o assurance_n and_o for_o the_o probat_fw-la of_o this_o suppose_v as_o in_o the_o last_o proposition_n 600_o l_o be_v to_o be_v return_v from_o durham_n to_o london_n allow_v the_o assurancer_n 6_o â…–_n d_o upon_o every_o pound_n sterl_n the_o rule_n be_v as_o 1_o l_o to_o 32_o 5_o d_o so_o 600_o l_o shall_v be_v in_o proportion_n to_o 3840_o d_o that_o be_v 320_o ss_z or_o 16_o l_o as_o before_o due_a for_o the_o secure_n of_o 600_o l_o and_o not_o 616_o as_o in_o the_o last_o proposition_n which_o be_v erroneous_a though_o allow_v of_o by_o many_o proposition_n xxvi_o the_o rate_n or_o proportion_n for_o the_o exchange_n of_o any_o money_n betwixt_o two_o place_n be_v know_v to_o find_v how_o much_o money_n of_o the_o one_o place_n will_v discharge_v a_o bill_n of_o exchange_n in_o the_o other_o city_n or_o town_n the_o rule_n as_o any_o one_o pound_n sterl_n or_o other_o piece_n of_o money_n be_v in_o proportion_n to_o the_o difference_n of_o exchange_n so_o will_v any_o sum_n propound_v of_o the_o first_o money_n be_v proportionable_a to_o the_o coin_n where_o it_o be_v payable_a a_o explanation_n of_o two_o way_n concur_v in_o one_o production_n the_o rate_n for_o exchange_v here_o in_o this_o example_n be_v of_o a_o foreign_a coin_n whereof_o 1_o l_o 3_o ss_z 4_o d_o be_v equal_a to_o 1_o l_o sterling_a how_o much_o of_o that_o foreign_a money_n will_v discharge_v a_o bill_n of_o exchange_n for_o 240_o l_o 13_o ss_z 4_o d_o sterling_a in_o this_o case_n 1_o l_o or_o 20_o ss_z be_v the_o first_o number_n in_o the_o rule_n the_o difference_n in_o exchange_n be_v 3_o ss_z 4_o d_o the_o sum_n to_o be_v exchange_v be_v 240_o l_o 13_o ss_z 4_o d._n with_o these_o 3_o number_n you_o may_v find_v 40_o l_o 2_o ss_z 2_o â…”_n d._n which_o add_v to_o the_o money_n pay_v make_v 280_o l_o 15_o ss_z 6_o â…”_n d_o the_o total_a to_o be_v receive_v upon_o exchange_n but_o the_o more_o usual_a way_n be_v according_a to_o the_o table_n and_o prescribe_a rule_n viz._n as_o 20_o ss_z be_v to_o 23_o â…“_n or_o 20_o 3_o ss_z so_o 1â—â—â—â—_n 3_o unto_o 5615_o 9_o â—_o ss_z which_o reduce_v be_v 280_o l_o 1586_o â…”_n d_o as_o before_z proposition_n xxvii_o by_o know_v the_o money_n pay_v unto_o a_o merchant_n and_o likewise_o the_o sum_n receive_v upon_o bill_n of_o exchange_n in_o a_o foreign_a coin_n to_o find_v how_o the_o exchange_n go_v between_o those_o place_n this_o proposition_n be_v but_o the_o former_a reverse_v and_o so_o require_v no_o rule_n but_o that_o of_o proportion_n nor_o example_n but_o the_o last_o where_o the_o first_o money_n pay_v be_v 240_o l_o 13_o s_z 4_o d_o the_o foreign_a money_n receive_v upon_o bill_n of_o exchange_n be_v 280_o l_o 15_o s_o 6_o â…”_n d_o the_o middle_a number_n here_o in_o the_o rule_n of_o three_o must_v

be_v 1_o l_o sterling_a or_o 20_o s_o if_o you_o please_v the_o former_a number_n reduce_v into_o improper_a fraction_n will_v stand_v in_o the_o rule_n of_o proportion_n thus_o viz._n as_o 14440_o 3_o ss_z be_v to_o 20_o ss_z so_o will_v 50540_o 9_o ss_z be_v to_o 1_o l_o 3_o s_z 4_o d_o the_o rate_n which_o the_o exchange_n go_v at_o according_a to_o the_o former_a proposition_n enucleate_v in_o this_o in_o all_o these_o question_n or_o any_o other_o appertain_v only_o to_o the_o exchange_n of_o money_n there_o be_v nothing_o more_o require_v from_o the_o value_n or_o estimate_n of_o any_o know_a coin_n to_o find_v what_o sum_n of_o the_o one_o shall_v be_v equal_a or_o in_o proportion_n unto_o the_o same_o quantity_n of_o the_o other_o as_o if_o 1_o l_o sterling_a be_v equal_a in_o value_n unto_o 25_o s_o of_o some_o other_o coin_n the_o proportion_n of_o equality_n will_v be_v viz._n as_o 1_o l_o sterling_a or_o 20_o s_o be_v to_o 25_o s_o so_o any_o sum_n of_o the_o first_o coin_n to_o a_o equal_a quantity_n of_o the_o second_o or_o which_o be_v all_o one_o â—ib_n 2._o parag_n 1._o aziom_n 13._o as_o 4_o to_o 5_o so_o any_o quantity_n of_o the_o first_o to_o a_o equal_a sum_n of_o the_o second_o and_o likewise_o the_o contrary_a to_o these_o viz._n as_o 5_o be_v to_o 4_o so_o any_o know_a sum_n receive_v of_o the_o first_o coin_n will_v be_v equal_a in_o quantity_n to_o the_o sum_n of_o the_o second_o due_a to_o be_v repay_v in_o exchange_n which_o be_v the_o sole_a scope_n of_o this_o rule_n or_o the_o mark_n that_o be_v â—imed_v at_o in_o the_o exchange_n of_o money_n as_o for_o the_o profit_n experience_n in_o trade_n will_v discover_v it_o proposition_n xxviii_o a_o merchant_n deliver_v so_o much_o money_n with_o this_o condition_n to_o be_v repay_v in_o a_o foreign_a coin_n and_o country_n within_o any_o limit_a time_n as_o a_o year_n and_o at_o any_o rate_n per_fw-la cent_n per_fw-la a_o for_o interest_n allow_v of_o there_o the_o rule_n rule_n 1_o as_o 1_o l_o english_a or_o 20_o ss_z sterling_a to_o a_o sum_n of_o that_o money_n so_o 1_o l_o sterl_n in_o another_o coin_n if_o 100_o l_o sterling_n rule_v 2._o what_o 8_o l_o sterling_n interest_n a_o explanation_n of_o exchange_n lib._n 2._o parag._n 7._o axiom_n 13._o and_o parag._n 10._o as_o in_o this_o example_n suppose_v 350_o l_o of_o english_a money_n be_v deliver_v in_o london_n to_o be_v repay_v upon_o bill_n of_o exchange_n a_o year_n after_o the_o receipt_n thereof_o and_o to_o allow_v 8_o per_fw-la cent_n per_fw-la a_o in_o that_o country_n where_o 24_o ss_z be_v equal_a unto_o 1_o l_o sterl_n from_o hence_o the_o proportion_n be_v as_o 20_o ss_z be_v to_o 350_o l_o so_fw-mi 24_o ss_z in_o the_o second_o row_n of_o the_o table_n it_o be_v reduce_v unto_o 2._o 35._o 24._o and_o in_o the_o three_o row_n to_o 1._o 35._o 12._o by_o this_o or_o any_o of_o they_o you_o may_v find_v the_o four_o proportional_a number_n to_o be_v 420_o l_o the_o sum_n to_o be_v pay_v in_o the_o foreign_a coin_n and_o in_o the_o four_o row_n of_o the_o table_n you_o will_v find_v 100_o l_o of_o that_o money_n under_o 1._o and_o beneath_z 12_o stands_z 8_o l_o for_o a_o year_n interest_n these_o will_v make_v 3_o number_n viz._n 100_o 35._o 96._o from_o whence_o a_o four_o proportional_a number_n will_v be_v produce_v as_o in_o the_o five_o table_n viz._n 33_o l_o 12_o ss_z the_o interest_n due_a upon_o 453_o l_o so_fw-mi the_o total_a to_o be_v receive_v be_v 453_o l_o 12_o s_n according_a to_o the_o condition_n and_o state_n of_o the_o question_n proposition_n xxix_o to_o reduce_v weight_n that_o be_v customary_a in_o one_o or_o divers_a country_n to_o a_o equality_n from_o one_o denomination_n into_o another_o or_o the_o weight_n of_o any_o ponderous_a body_n be_v know_v to_o find_v the_o quantity_n of_o a_o great_a or_o lesser_a weight_n the_o rule_n as_o the_o proportional_a part_n of_o 1_o ounce_n 1_o pound_n 1_o stone_n 1_o c_o weight_n etc._n etc._n shall_v be_v to_o any_o quantity_n propound_v in_o that_o weight_n so_o will_v the_o weight_n of_o any_o other_o place_n town_n or_o country_n be_v proportionable_a to_o the_o weight_n thereof_o demand_v a_o explanation_n in_o reduction_n of_o weight_n lib._n 1._o parag._n 8._o the_o question_n here_o propound_v be_v of_o a_o commodity_n who_o gross_a weight_n be_v 2_o c_z or_o 16_o stone_n at_o 14_o pound_n to_o the_o stone_n and_o it_o be_v require_v to_o find_v how_o many_o stone_n there_o be_v where_o custom_n admit_v but_o of_o 8_o pound_n the_o proportion_n of_o a_o stone_n weight_n in_o these_o two_o place_n be_v as_o 14_o to_o 8_o or_o as_o 7_o to_z 4_o in_o this_o rule_n the_o three_o term_n be_v the_o least_o and_o yet_o require_v a_o great_a number_n from_o whence_o it_o be_v evident_a the_o rule_n must_v be_v reverse_v and_o the_o four_o proportional_a find_v in_o the_o table_n will_v be_v 28_o stone_n equal_a to_o 16_o stone_n at_o 14_o pound_n to_o the_o stone_n the_o thing_n require_v proposition_n xxx_o how_o many_o hundred_o or_o pound_n of_o troy_n weight_n will_v there_o be_v find_v in_o 5_o c_o aver_n de_fw-fr pois_n when_o as_o 1_o pound_n 2_o ounce_n 12_o penny_n troy_n be_v equal_a unto_o 1_o pound_n or_o 16_o ounce_n of_o the_o civil_a or_o merchant_n weight_n a_o explanation_n this_o depend_v upon_o the_o last_o proposition_n and_o so_o require_v no_o other_o rule_n but_o only_o to_o reduce_v the_o gross_a weight_n into_o pound_n subtle_a which_o be_v 560_o pound_n and_o since_o 1_o pound_n aver_n de_fw-mi pois_fw-mi be_v equal_a to_o 14_o â…—_n ounce_n what_o 560_o pound_n by_o the_o rule_n of_o three_o direct_v you_o will_v find_v 8176_o ounce_n which_o divide_v by_o 12_o the_o quotient_n will_v be_v 681_o â…“_n pound_n troy_n and_o so_o for_o all_o other_o question_n of_o this_o kind_n proposition_n xxxi_o the_o customary_a measure_n of_o any_o place_n be_v know_v with_o the_o quantity_n of_o one_o propound_v to_o find_v how_o much_o it_o will_v make_v by_o a_o great_a or_o lesser_a measure_n of_o another_o place_n a_o explanation_n in_o reduction_n of_o measure_n lib._n 2._o parag._n 8._o a_o innkeeper_n buy_v 20_o quarter_n of_o corn_n to_o be_v deliver_v where_o the_o custom_n of_o the_o place_n require_v 8_o Â¾_n gallon_n to_o every_o bushel_n how_o much_o must_v the_o farmer_n send_v in_o according_a to_o the_o statute_n measure_n contain_v 8_o gallon_n common_o call_v winchester_n where_o the_o act_n be_v make_v for_o to_o fulfil_v the_o condition_n as_o the_o bargain_n be_v agree_v upon_o the_o state_n and_o operation_n of_o this_o question_n or_o the_o like_a differ_v not_o in_o the_o form_n from_o the_o 29_o as_o in_o the_o margin_n be_v evident_a where_o 8_o Â¾_n gallon_n or_o 35_o 4_o multiply_v by_o 20_o quarter_n the_o quantity_n propound_v in_o that_o measure_n which_o divide_v by_o the_o three_o number_n viz._n 8_o gallon_n the_o quotient_n will_v be_v 21_o â…›_n that_o be_v 21_o quarter_n and_o 7_o bushel_n of_o the_o lesser_a measure_n equal_a to_o 20_o quarter_n of_o the_o great_a the_o thing_n require_v proposition_n xxxii_o how_o many_o yard_n or_o ell_n of_o any_o one_o place_n propound_v will_v be_v equal_a or_o make_v a_o give_v number_n in_o some_o other_o which_o have_v proportion_n to_o the_o measure_n of_o a_o three_o place_n etc._n etc._n and_o that_o in_o any_o know_a quantity_n unto_o the_o first_o the_o rule_n rule_n 1._o as_o 20_o ell_n or_o aulnes_n of_o lion_n to_o 25_o yard_n of_o london_n so_o will_v be_v 60_o ell_n of_o lion_n 100_o ell_n antwerp_n rule_n 2._o 47_o ell_n of_o antw._n a_o plural_a proportion_n i_o two_o iii_o iv_o five_o antwerp_n antwerp_n =_o lion_n lion_n =_o london_n =_o 47_o ell_n 100_o ell_n =_o 60_o ell_n 20_o ell_n =_o 25_o yard_n a_o explanation_n in_o reduction_n of_o measure_n from_o plurality_n of_o proportion_n lib._n 2._o parag._n 10._o in_o this_o proposition_n there_o be_v a_o equality_n or_o proportion_n derive_v from_o divers_a descent_n and_o collateral_a line_n and_o may_v be_v continue_v like_o a_o british_a pedigree_n the_o equality_n here_o re-required_n be_v betwixt_o 47_o ell_n of_o antwerp_n and_o the_o yard_n of_o london_n that_o shall_v be_v equal_a to_o they_o if_o their_o measure_n be_v not_o know_v in_o any_o certain_a proportion_n but_o as_o derive_v from_o some_o other_o and_o that_o from_o a_o three_o and_o so_o continue_v a_o proportion_n until_o you_o arrive_v at_o one_o that_o run_v direct_o from_o the_o first_o as_o for_o example_n here_o be_v require_v how_o much_o 47_o ell_n of_o antwerp_n will_v be_v of_o london_n measure_n if_o the_o proportion_n

the_o money_n adventure_v the_o operation_n of_o this_o rule_n be_v facile_a the_o interest_n just_a and_o the_o explanation_n short_a the_o money_n here_o contract_v for_o according_a to_o the_o condition_n of_o 26_o l_o for_o interest_n per_fw-mi cent_n be_v 640_o l_o and_o the_o four_o proportional_a find_v will_v be_v 166_o â…–_n l_o or_o 166_o l_o 8_o s_n as_o in_o the_o table_n of_o the_o margin_n do_v appear_v which_o with_o the_o principle_n make_v 806_o l_o 8_o s_n to_o be_v receive_v where_o the_o money_n be_v payable_a or_o shall_v be_v due_a the_o ship_n be_v arrive_v with_o the_o adventure_n at_o the_o appoint_a port_n of_o the_o country_n or_o kingdom_n as_o the_o voyage_n be_v intend_v the_o second_o part_n definition_n and_o etymology_n of_o usury_n and_o interest_n money_n with_o the_o several_a operation_n compendious_o display_v usury_n be_v derive_v particular_o from_o usura_fw-la ab_fw-la usu_fw-la aeris_fw-la or_o general_o from_o the_o use_n and_o occupation_n of_o any_o thing_n as_o money_n the_o worth_n or_o estimate_n of_o it_o upon_o some_o mutual_a contract_n wherein_o the_o debtor_n allow_v the_o creditor_n a_o loan_n in_o lieu_n of_o the_o money_n or_o good_n borrow_a which_o in_o time_n past_a have_v be_v at_o liberty_n as_o man_n can_v agree_v but_o when_o the_o unsatiable_a avariciousness_n of_o rich_a miser_n attract_a extortion_n from_o the_o indigency_n of_o borrower_n the_o corrode_a use_n of_o money_n be_v by_o provident_a law_n confine_v to_o a_o certain_a rate_n as_o to_o 10_o l_o per_n cent_n per_fw-la ann_n afterward_o to_o 8_o l_o and_o now_o of_o late_a to_o 6_o l_o that_o be_v if_o a_o creditor_n lend_v 100_o l_o for_o a_o year_n he_o may_v legal_o exact_v 6_o l_o profit_n for_o the_o use_n of_o the_o money_n lend_v these_o be_v divide_v into_o 3_o part_n viz._n principal_a time_n and_o interest_n the_o first_o signify_v the_o sum_n or_o value_n of_o the_o money_n or_o good_n so_o lend_v time_n be_v the_o forbearance_n of_o it_o as_o day_n week_n month_n or_o year_n three_o interest_n be_v the_o profit_n that_o arise_v from_o the_o other_o two_o and_o be_v derive_v from_o two_o compound_a latin_a word_n viz._n inter_fw-la and_o est_fw-la ab_fw-la edo_fw-la to_o eat_v or_o devour_v as_o it_o be_v the_o property_n of_o use_n to_o do_v they_o have_v these_o proportion_n as_o the_o principal_a to_o the_o time_n the_o rate_v contract_v for_o and_o interest_n to_o itself_o and_o general_o as_o commix_v with_o one_o another_o interest_n resemble_v janus_n with_o two_o face_n one_o look_v upon_o the_o time_n past_a the_o other_o on_o that_o to_o come_v iâ—_n this_o tract_n the_o principal_a run_v like_o a_o snowball_n rise_v upon_o a_o even_a superficies_n equal_o move_v but_o the_o increase_n unequal_a although_o proportional_a to_o the_o body_n as_o it_o be_v magnify_v in_o the_o motion_n and_o if_o continue_a in_o time_n it_o will_v gather_v up_o all_o this_o be_v call_v forbearance_n and_o rebate_v or_o discount_n of_o money_n be_v like_o the_o tract_n in_o which_o a_o snowball_n move_v and_o in_o its_o descent_n take_v up_o all_o until_o it_o be_v stay_v leave_v the_o ground_n bear_v from_o whence_o it_o take_v a_o seem_a original_n where_o time_n have_v not_o arrive_v but_o behold_v it_o as_o seaman_n a_o object_n which_o seem_v little_a at_o a_o great_a distance_n and_o increase_v to_o the_o optic_a sense_n by_o unsensible_a approach_n use_v or_o interest_n have_v in_o either_o predicament_n two_o species_n viz._n simple_n or_o compound_v the_o first_o be_v compute_v from_o the_o principal_a and_o time_n only_o upon_o a_o certain_a rate_n give_v or_o allow_v whether_o ascend_v or_o descend_v as_o in_o forbearance_n or_o upon_o discount_n which_o be_v thus_o explain_v if_o 100_o l_o be_v continue_v for_o 2_o year_n at_o 6_o l_o per_n cent_n per_fw-la ann_n the_o creditor_n at_o that_o term_n of_o time_n be_v to_o receive_v but_o 112_o l_o that_o be_v 12_o l_o for_o simple_a interest_n in_o lone_a of_o the_o money_n forbear_v here_o 100_o l_o be_v the_o principal_n lend_v the_o term_n 2_o year_n the_o use_n 6_o l_o per_n ann_n whereas_o in_o compound_a interest_n the_o first_o payment_n attract_v a_o proportional_a use_n as_o admit_v in_o annual_a disbursement_n in_o the_o second_o year_n there_o be_v a_o use_n require_v or_o impose_v on_o the_o 6_o l_o due_o if_o continue_v and_o therefore_o it_o be_v call_v interest_n upon_o interest_n discount_n or_o rebate_v of_o money_n be_v upon_o a_o legacy_n or_o sum_n due_a to_o be_v pay_v at_o a_o time_n to_o come_v yet_o satisfy_v or_o discharge_v with_o so_o much_o present_a money_n as_o immediate_o put_v forth_o at_o a_o interest_n or_o rate_n allow_v forbear_v until_o the_o legacy_n shall_v have_v be_v due_a return_v again_o to_o its_o first_o principal_a or_o sum_n the_o money_n pay_v be_v compute_v at_o the_o same_o rate_n of_o interest_n for_o the_o forbearance_n as_o be_v the_o discount_n make_v as_o by_o follow_v example_n shall_v be_v illustrate_v observe_v these_o proportion_n viz._n the_o rule_n as_o the_o principal_a and_o time_n for_o which_o a_o lone_a be_v allow_v shall_v be_v in_o proportion_n unto_o the_o interest_n thereof_o so_o will_v any_o other_o sum_n of_o money_n to_o be_v borrow_v be_v proportional_a to_o the_o interest_n for_o the_o same_o time_n proposition_n xxxviii_o what_o come_v the_o interest_n of_o 145_o l_o unto_o forbear_v a_o year_n at_o 6_o l_o per_n cent_n per_fw-la ann_n a_o explanation_n of_o simple_a interest_n lib._n 2._o parag._n 8._o any_o question_n of_o this_o nature_n be_v with_o facility_n perform_v by_o the_o common_a rule_n of_o three_o as_o if_o 100_o l_o principal_a forbear_v a_o year_n require_v 6_o l_o interest_n the_o 145_o l_o for_o the_o same_o term_n of_o time_n will_v exact_v 8_o 7_o 10_o l_o as_o in_o the_o table_n that_o be_v 8_o l_o 14_o ss_z the_o question_n answer_v proposition_n thirty-nine_o a_o money-merchant_n employ_v at_o use_v 250_o l_o sterling_a for_o 5_o month_n at_o the_o rate_n of_o 8_o l_o per_n cent_n per_fw-la ann_n and_o the_o simple_a interest_n of_o it_o be_v here_o require_v a_o explanation_n of_o simple_a interest_n lib._n 2._o par_fw-fr 10._o all_o question_n of_o this_o Â _fw-fr prin._n in._n prin._n 1_o rule_n 100-8-250_a Â _fw-fr m_n m_n 2_o rule_v 12-5_a product_v 1200._o 8._o 1500_o or_o as_o 3_o to_o 1_o so_o 25_o facit_fw-la 8_o l._n 6_o ss_z 8_o d_o kind_n do_v consist_v of_o 5_o term_n viz._n 100_o l_o principal_a second_o the_o rate_n for_o use_v as_o in_o this_o 8_o l._n three_o the_o principal_a lend_v as_o in_o the_o first_o rule_n in_o the_o second_o rule_n under_o 100_o l_o be_v place_v the_o time_n for_o which_o 8_o l_o be_v due_n as_o at_o a_o year_n or_o 12_o month_n the_o five_o number_n be_v the_o term_n for_o the_o principal_a borrow_a viz._n 5_o month_n the_o product_n of_o those_o be_v 1200._o 8_o and_o 1250_o and_o may_v be_v reduce_v as_o in_o the_o 13_o and_o 14_o axiom_n lib._n 1._o parag_v 7._o to_o 3.1_o 25._o the_o quotient_a here_o answer_v the_o question_n viz._n 8_o l_o 6_o ss_z 8_o d_o the_o proportional_a interest_n for_o the_o sum_n and_o time_n require_v proposition_n xl._n a_o banker_n do_v lend_v 650_o l._n which_o principal_a be_v repay_v at_o the_o term_n of_o 6_o month_n 3_o week_n and_o 3_o day_n what_o come_v the_o interest_n of_o it_o to_o at_o 6_o l_o per_n cent_n per_fw-la ann_n a_o explanation_n of_o simple_a interest_n lib._n 2._o parag_n 10._o in_o this_o double_a Â _fw-fr princi_n inter._n princ._n 1_o rule_n 100_o ..._o 6_o ..._o 650_o Â _fw-fr d_o d_o 2_o rule_v 365_o 192_o prod._n 36500._o 6._o 124800_o or_o as_o 365_o to_o 6._o so_o 1248_o facit_fw-la 20_o l_o 10_o ss_z 3_o d._n 2_o 34_o 73_o q_o rule_n the_o first_o term_n be_v 100_o l._n the_o second_o its_o interest_n for_o a_o year_n the_o three_o be_v the_o principal_n lend_v the_o first_o term_n of_o the_o second_o rule_n 365_o the_o number_n of_o day_n in_o a_o vulgar_a year_n the_o last_o term_n be_v 192_o the_o number_n of_o day_n terminate_n the_o time_n account_v 4_o week_n to_o the_o month_n the_o product_n of_o these_o be_v 36500_o and_o 124800_o and_o reduce_v will_v be_v 365_o and_o 1248._o which_o multiply_v by_o 6_o l_o the_o interest_n be_v 7488_o and_o divide_v by_o 365_o the_o quotient_n will_v be_v in_o a_o direct_a proportion_n 20_o l_o 10_o ss_z 3_o d_o 2_o 34_o 73_o as_o in_o the_o table_n the_o simple_a interest_n of_o 650_o l._n the_o time_n require_v proposition_n xli_o a_o man_n receive_v 8_o l_o 6_o s_z 8_o d_o for_o 5_o month_n interest_n of_o a_o sum_n unknown_a but_o at_o the_o rate_n of_o 8_o l_o

l_o 16_o ss_z 8_o d._n and_o three_o 67_o l_o 19_o ss_z 2_o d._n the_o total_a be_v 3058_o l_o 2_o ss_z 6_o d_o to_o be_v divide_v by_o 100_o l_o if_o forbear_v a_o year_n but_o the_o term_n of_o time_n here_o be_v but_o 9_o month_n as_o in_o the_o table_n at_o b_o which_o i_o divide_v into_o two_o part_n viz._n 6_o m._n and_o 3_o m._n then_o take_v half_a the_o total_a that_o be_v 1529_o l_o 1_o ss_z 3_o d_o and_o for_o 3_o month_n the_o half_a of_o that_o 764_o l_o 10_o ss_z 7_o Â½_n d._n the_o total_a be_v 2293_o l_o 11_o s_n 10_o Â½_n d_o to_o be_v divide_v by_o 100_o l._n now_o proceed_v according_a to_o the_o former_a example_n and_o you_o will_v find_v the_o interest_n demand_v 22_o l_o 18_o s_n 8_o d_o 2_o Â½_n q._n the_o proposition_n solve_v if_o this_o question_n have_v depend_v on_o month_n week_n and_o day_n you_o must_v have_v take_v proportional_a part_n and_o proceed_v as_o before_o be_v specify_v so_o there_o need_v no_o more_o example_n for_o the_o ingenious_a to_o who_o all_o other_o question_n in_o the_o rule_n of_o practice_n will_v be_v direct_a and_o indirect_a for_o other_o to_o encumber_v their_o understanding_n with_o multiplicity_n of_o way_n in_o this_o kind_n therefore_o i_o will_v only_o show_v you_o the_o discount_n of_o money_n and_o proceed_v to_o decimall_n table_n of_o compound_a interest_n proposition_n xlvi_o upon_o any_o interest_n per_fw-la cent_n and_o the_o sum_n of_o money_n that_o shall_v be_v due_a at_o the_o term_n of_o a_o year_n to_o find_v the_o worth_n of_o it_o in_o ready_a money_n or_o present_a pay_n the_o interest_n deduct_v from_o the_o sum_n the_o rule_n if_o 102_o l_o and_o the_o annual_a interest_n due_a at_o a_o year_n end_n be_v worth_a a_o 100_o l_o at_o one_o entire_a and_o present_a payment_n what_o shall_v any_o other_o sum_n due_a at_o that_o term_n be_v worth_a in_o ready_a money_n the_o interest_n deduct_v a_o explanation_n of_o this_o rule_n in_o discount_n or_o rebate_v of_o money_n lib_n 2._o parag_n 8._o admit_v the_o interest_n be_v 6_o l_o per_n cent_n per_fw-la ann_n which_o add_v to_o 100_o l_o make_v the_o sum_n 106_o l_o to_o be_v rebate_v for_o if_o this_o principal_n be_v due_a at_o the_o term_n of_o 12_o month_n it_o be_v worth_a 100_o l_o present_v pay_v because_o at_o 6_o l_o per_fw-la cent_n it_o will_v increase_v in_o a_o year_n space_n unto_o 106_o l_o again_o from_o hence_o this_o rule_n of_o antepayment_n be_v frame_v and_o all_o question_n of_o this_o condition_n if_o terminate_v by_o a_o year_n be_v solve_v as_o in_o this_o example_n suppose_v 546_o l_o shall_v be_v due_a at_o the_o term_n of_o a_o year_n and_o desire_v present_o rebate_n at_o 6_o l_o per_fw-la cent_n per_fw-la ann_n the_o proportion_n be_v evident_a viz._n as_o 106_o be_v unto_o 100_o so_o shall_v 546_o be_v to_o 515_o 09â—_n 1000_o l_o which_o decimal_a fraction_n be_v 1_o s_o 10_o Â½_n d._n so_o 546_o l_o which_o shall_v have_v be_v due_a at_o a_o year_n end_n be_v worth_a upon_o discount_n present_v pay_v 515_o l_o 1_o s_o 10_o Â½_n d_o as_o in_o the_o table_n be_v demonstrate_v by_o a_o decimal_n and_o in_o a_o natural_a fraction_n it_o will_v be_v 515_o 5_o 53_o l._n proposition_n xlvii_o a_o legacy_n or_o any_o sum_n of_o money_n not_o present_o due_a and_o to_o be_v discharge_v at_o two_o several_a payment_n as_o the_o first_o at_o 6_o month_n end_n the_o other_o at_o the_o term_n of_o a_o year_n how_o much_o money_n will_v discharge_v it_o at_o one_o payment_n discount_v 10_o l_o interest_n per_fw-la cent_n per_fw-la ann_n the_o rule_n as_o 12_o month_n or_o the_o true_a term_n of_o a_o year_n be_v in_o proportion_n to_o the_o annual_a interest_n allow_v so_o the_o month_n or_o term_v for_o day_n of_o payment_n shall_v be_v proportional_a to_o the_o interest_n for_o the_o time_n a_o explanation_n of_o discount_n or_o rebate_v of_o money_n for_o day_n week_n month_n etc._n etc._n in_o all_o question_n upon_o rebate_v of_o money_n at_o simple_a interest_n for_o the_o space_n of_o a_o year_n observe_v the_o last_o proposition_n but_o if_o for_o a_o great_a or_o short_a term_n of_o time_n viz._n month_n week_n day_n etc._n etc._n or_o day_n week_n and_o month_n in_o all_o such_o case_n you_o ought_v to_o find_v a_o proportional_a interest_n for_o those_o annual_a part_n because_o the_o money_n due_a at_o several_a payment_n be_v terminate_v therein_o as_o the_o other_o in_o a_o year_n as_o for_o example_n there_o be_v a_o legacy_n of_o 1000_o l_o bequeath_v to_o t._n w._n at_o equal_a payment_n viz._n 500_o l_o to_o be_v pay_v at_o the_o end_n of_o 6_o month_n and_o the_o other_o 500_o l_o at_o the_o period_n of_o a_o year_n what_o be_v it_o worth_a present_a pay_n rebate_n at_o 10_o l_o interest_n per_n cent_n per_fw-la ann_n as_o for_o the_o last_o payment_n form_n the_o rule_n of_o three_o according_a to_o the_o last_o proposition_n viz._n as_o 110_o l_o be_v to_o 100_o l_o so_fw-mi 500_o l_o will_n be_v in_o proportion_n to_o 454_o l_o 6_o 11_o l._n now_o for_o that_o due_a at_o 6_o month_n end_n find_v a_o proportional_a intere_fw-la t_o for_o the_o time_n according_a to_o the_o rate_n allow_v as_o by_o the_o first_o of_o these_o table_n in_o the_o margin_n which_o be_v 5_o l._n and_o by_o the_o second_o table_n operation_n you_o will_v find_v for_o the_o four_o proportional_a number_n 476_o 4_o 21_o l_o the_o value_n of_o the_o first_o 500_o l_o present_n pay_v the_o sum_n of_o both_o payment_n 930_o 170_o 231_o l_o 930_o l_o 14_o sh_z 8_o 48_o 77_o d._n the_o legacy_n as_o value_v present_a pay_n upon_o rebate_v at_o 10_o l_o per_n cent_n per_fw-la ann_n simple_a interest_n which_o in_o the_o first_o table_n require_v no_o rule_n to_o discover_v it_o but_o many_o other_o proposition_n may_v therefore_o it_o be_v insert_v by_o i_o and_o make_v plain_a as_o it_o be_v general_a if_o the_o respite_n of_o time_n have_v be_v for_o more_o or_o few_o month_n with_o week_n and_o day_n the_o manner_n of_o operation_n be_v the_o same_o in_o effect_n therefore_o to_o write_v one_fw-mi more_fw-mi of_o this_o will_v prove_v superfluous_a unto_o the_o ingenious_a arithmetition_n so_o of_o simple_a interest_n i_o will_v here_o conclude_v many_o rule_n do_v seem_v original_o derive_v from_o truth_n or_o extract_v from_o art_n but_o if_o well_o observe_v they_o be_v easy_o detect_v be_v erroneous_o reere_v upon_o fallacious_a ground_n and_o their_o derivation_n from_o imaginary_a principle_n viz._n as_o in_o interest_n discount_n of_o money_n equation_n in_o payment_n relate_v to_o time_n and_o interest_n etc._n etc._n these_o i_o have_v insert_v to_o please_v some_o but_o not_o to_o delude_v any_o the_o way_n be_v common_a in_o general_n receive_v custom_n plain_a easy_a and_o of_o good_a use_n the_o error_n not_o be_v great_a or_o considerable_a in_o small_a sum_n or_o in_o a_o short_a forbearance_n as_o in_o bond_n they_o rare_o plead_v prescription_n of_o year_n or_o exceed_a a_o annual_a revolution_n upon_o forfeiture_n in_o transgress_v a_o penal_a law_n whereas_o rebate_v or_o discount_n of_o money_n often_o depend_v upon_o long_a term_n involve_v with_o multiplicity_n of_o antedate_a year_n as_o in_o purchase_v of_o lease_n pension_n annuity_n reversion_n etc._n etc._n therefore_o these_o be_v compose_v so_o compendious_a as_o i_o can_v since_o there_o be_v better_a rule_n extract_v from_o artificial_a number_n and_o decimal_a arithmetic_n in_o compound_n interest_n as_o those_o follow_v a_o decimal_n table_n of_o interest_n money_n forbear_v any_o number_n of_o day_n week_n month_n or_o year_n to_o 25_o inclusive_a accurate_o calculate_v at_o 6_o l_o per_fw-la cent_n per_fw-la ann_n day_n decimall_n number_n year_n decimall_n number_n i_o 1.000160_o i_o 1.060000_o two_o 1.000319_o two_o 1.123600_o iii_o 1.000479_o iii_o 1.191016_o iv_o 1.000639_o iv_o 1.261477_o five_o 1.000798_o five_o 1.338226_o vi_o 1.000958_o vi_o 1.418519_o Â _fw-fr Â _fw-fr vii_o 1.503630_o week_n Â _fw-fr viii_o 1.593848_o Â _fw-fr Â _fw-fr ix_o 1.689479_o i_o 1.001118_o x_o 1.790848_o two_o 1.002237_o xi_o 1.898298_o iii_o 1.003358_o xii_o 2.012196_o month_n Â _fw-fr xiii_o 2.132928_o Â _fw-fr Â _fw-fr fourteen_o 2.260904_o i_o 1.004867_o xv_o 2.396558_o two_o 1.009760_o xvi_o 2.540352_o iii_o 1.014674_o xvii_o 2.692773_o iv_o 1.019613_o xviii_o 2.854339_o five_o 1.024576_o xix_o 3.025599_o vi_o 1.029563_o xx_o 3.207136_o vii_o 1.034574_o xxi_o 3.399564_o viii_o 1.039610_o xxii_o 3.603537_o ix_o 1.044671_o xxiii_o 3.819750_o x_o 1.049756_o xxiv_o 4.048936_o xi_o 1.054865_o xxv_o 4.291871_o the_o second_o table_n of_o compound_n interest_n money_n discount_v for_o day_n week_n month_n or_o year_n unto_o 25_o inclusive_a exact_o calculate_v at_o

6_o l_o per_fw-la cent_n per_fw-la ann_n day_n decimall_n number_n year_n decimall_n number_n i_o .999840_o i_o .943396_o two_o .999681_o two_o .889996_o iii_o .999521_o iii_o .839619_o iv_o .999361_o iv_o .792093_o five_o .999202_o five_o .747258_o vi_o .999042_o vi_o .704960_o Â _fw-fr Â _fw-fr vii_o .665057_o week_n Â _fw-fr viii_o .627412_o Â _fw-fr Â _fw-fr ix_o .591898_o i_o .998883_o x_o .558394_o two_o .997767_o xi_o .526787_o iii_o .996653_o xii_o .496969_o month_n xiii_o .468839_o fourteen_o .442301_o i_o .995156_o xv_o .417265_o two_o .990335_o xvi_o .393646_o iii_o .985538_o xvii_o .371364_o iv_o .980764_o xviii_o .350343_o five_o .976013_o xix_o .330513_o vi_o .971286_o xx_o .311804_o vii_o .966581_o xxi_o .294155_o viii_o .961859_o xxii_o .277505_o ix_o .957239_o xxiii_o .261797_o x_o .952643_o xxiv_o .246978_o xi_o .947988_o xxv_o .232998_o table_n 3._o forbearance_n of_o annuity_n rent_n or_o pension_n from_o 1_o year_n to_o 25_o at_o 6_o l_o per_fw-la cent_n per_fw-la ann_n table_n 4._o discount_n of_o annuity_n rent_n or_o pension_n from_o 1_o year_n unto_o 25_o aâ—_n 6_o l_o per_fw-la cent_n per_fw-la ann_n table_n 5._o purchase_v of_o annuity_n rent_n or_o pension_n from_o 1_o year_n unto_o 25_o at_o 6_o l_o per_fw-la cent_n per_fw-la ann_n year_n deci._n n._n year_n deci._n n._n year_n deci._n n._n i_o 1.00000_o i_o .94340_o i_o 1.06000_o two_o 2.06000_o two_o 1.83339_o two_o .54544_o iii_o 3.18360_o iii_o 2.67301_o iii_o .37411_o iv_o 4.37462_o iv_o 3.46510_o iv_o .28859_o five_o 5.63709_o five_o 4.21236_o five_o .23740_o vi_o 6.97532_o vi_o 4.91732_o vi_o .20336_o vii_o 8.39384_o vii_o 5.58238_o vii_o .17914_o viii_o 9.89747_o viii_o 6.20979_o viii_o .16104_o ix_o 11_o 4913â—_n ix_o 6.80169_o ix_o 1470â—_n x_o 13.18079_o x_o 7.36009_o x_o .13587_o xi_o 14.97164_o xi_o 7.88687_o xi_o .12679_o xii_o 16.86994_o xii_o 8.38384_o xii_o .11928_o xiii_o 18.88214_o xiii_o 8.85268_o xiii_o .11296_o fourteen_o 21.01506_o fourteen_o 9.29498_o fourteen_o .10758_o xv_o 23.27597_o xv_o 9.71225_o xv_o .10296_o xvi_o 25.67253_o xvi_o 10.10589_o xvi_o .09895_o xvii_o 28_o 21â—88_n xvii_o 10_o 477â—6_n xvii_o .09544_o xviii_o 30.90565_o xviii_o 10.82760_o xviii_o .09236_o xix_o 33.75999_o xix_o 11.15811_o xix_o .08962_o xx_o 36.78559_o xx_o 11.46992_o xx_o .08718_o xxi_o 39.99272_o xxi_o 11.76407_o xxi_o .08500_o xxii_o 43.39229_o xxii_o 12.04158_o xxii_o .08305_o xxiii_o 46.99583_o xxiii_o 12.30338_o xxiii_o .08128_o xxiv_o 50.81557_o xxiv_o 12.55036_o xxiv_o .07968_o xxv_o 54.86451_o xxv_o 12.78335_o xxv_o .07823_o the_o construction_n of_o decimal_a table_n for_o use_v money_n make_v proportional_a for_o any_o interest_n time_n or_o term_v of_o year_n require_v with_o the_o application_n of_o these_o illustrate_v with_o useful_a and_o compendious_a example_n all_o question_n of_o compound_a interest_n money_n may_v be_v comprehend_v and_o solve_v by_o one_o of_o the_o 5_o precedent_a table_n calculate_v without_o sensible_a error_n and_o extract_v from_o the_o former_a prescribe_a rule_n as_o in_o the_o 38_o and_o follow_v proposition_n of_o simple_a interest_n and_o first_o here_o observe_v that_o these_o table_n be_v compose_v upon_o the_o worth_n or_o interest_n of_o 1_o l_o principal_a per_n ann_n after_o the_o rate_n of_o 6_o l_o per_n cent_n yearly_a payment_n as_o the_o law_n now_o command_v with_o a_o prohibition_n of_o any_o great_a interest_n upon_o the_o penalty_n of_o a_o forfeiture_n except_v such_o case_n wherein_o there_o depend_v some_o apparent_a hazard_n as_o in_o exchange_n cambio_n maritimo_fw-la or_o in_o bond_n and_o obligation_n not_o satisfy_v that_o antedate_v the_o act_n etc._n etc._n and_o upon_o this_o foundation_n be_v erect_v these_o table_n who_o calculation_n i_o will_v first_o exhibit_v to_o your_o view_n both_o for_o far_a satisfaction_n &_o the_o compose_n of_o any_o other_o upon_o other_o rate_n or_o proportion_n and_o then_o proceed_v unto_o the_o use_n and_o explication_n of_o these_o the_o proportion_n of_o compound_a interest_n money_n in_o decimall_n number_n due_a upon_o the_o lone_a of_o 1_o l_o principal_a rule_v 1_o as_o 100_o l_o sterling_a lend_v for_o term_n of_o a_o year_n to_o the_o sum_n of_o the_o principal_a and_o interest_n allow_v so_o shall_v 1_o or_o a_o unite_v of_o the_o first_o denomination_n be_v unto_o the_o principal_a and_o interest_n in_o a_o decimal_n rule_n 2._o as_o 100_o l_o sterling_a forbear_v the_o term_n of_o a_o year_n shall_v be_v in_o proportion_n to_o the_o last_o year_n decimal_n so_o will_v the_o sum_n of_o the_o principal_a and_o interest_n be_v unto_o a_o decimal_n for_o the_o succeed_a year_n a_o illustration_n Â _fw-fr Â _fw-fr prin._n decimal_n principal_n decim_fw-la i_o Â _fw-fr 100_o l_o be_v to_o 106_o so_o will_v 1_o l_o be_v to_o 1.060000_o two_o Â _fw-fr 100_o l_o be_v to_o 1060000_o so_o 106_o l_o be_v to_o 1.123600_o iii_o as_o 100_o l_o be_v to_o 1123600_o so_o 106_o l_o unto_o 1.191016_o iv_o Â _fw-fr 100_o l_o be_v to_o 1191016_o so_o 106_o l_o unto_o 1.262477_o v_n Â _fw-fr 100_o l_o be_v to_o 1262477_o so_o 106_o l_o unto_o 1.338226_o in_o the_o construction_n of_o these_o table_n take_v a_o unite_v with_o what_o number_n of_o cipher_n you_o please_v for_o the_o radius_fw-la one_o place_n more_o than_o you_o intend_v to_o inscribe_v but_o of_o no_o necessity_n as_o here_o 1,000,000_o the_o seven_o place_n be_v a_o integer_fw-la all_o the_o other_o towards_o the_o right_a hand_n be_v fraction_n or_o represent_v their_o place_n according_a to_o my_o three_o book_n of_o artificial_a arithmetic_n now_o for_o frame_v the_o first_o table_n wherein_o the_o principal_a be_v forbear_v add_v the_o principal_a and_o interest_n together_o the_o sum_n be_v here_o 106_o annex_v 4_o cipher_n or_o point_n to_o it_o equal_a to_o the_o radius_fw-la and_o it_o be_v a_o decimal_a fraction_n for_o the_o 1_o l_o forbear_v a_o year_n or_o by_o the_o first_o rule_n as_o 100_o l_o be_v to_o 106_o the_o principal_a and_o interest_n allow_v so_o shall_v 1_o l_o principal_a be_v in_o proportion_n to_o 1.060000_o which_o be_v a_o mix_a decimal_n fraction_n and_o comprehend_v the_o 1_o l_o principal_a with_o the_o interest_n 06_o 100_o and_o reduce_v be_v 1_o ss_z 2_o d_o 1_o â…—_n q._n but_o leave_v it_o involve_v as_o the_o increase_n of_o the_o first_o year_n all_o the_o rest_n will_v be_v discover_v by_o the_o second_o rule_n successive_o viz._n as_o 100_o l_o to_o 1.060000_o so_o 106_o the_o principal_a and_o interest_n to_o 1.123600_o the_o decimal_n for_o the_o second_o year_n then_o for_o the_o three_o year_n as_o 100_o l_o be_v to_o 1123600_o so_o 106_o in_o proportion_n to_o 1.191016_o in_o the_o same_o manner_n of_o operation_n you_o will_v find_v 1,262477_o for_o the_o four_o year_n and_o 1,338226_o a_o proportional_a decimal_n fraction_n comprehend_v 1_o l_o principal_a forbear_v 5_o year_n with_o the_o compound_n interest_n of_o it_o which_o be_v 6_o ss_z 9_o d_o and_o not_o one_o farthing_n more_o thus_o you_o may_v proceed_v to_o what_o number_n of_o year_n occasion_n shall_v require_v to_o find_v decimal_a number_n for_o any_o part_n of_o a_o year_n as_o month_n week_n day_n or_o for_o half_a year_n and_o quarterly_a payment_n take_v the_o decimall_n for_o a_o year_n interest_n viz._n 1.060000_o who_o quadrat_fw-la root_n extract_v as_o in_o lib._n 2._o parag_n 1._o examp_n 5._o you_o will_v find_v 102956_o a_o proportional_a decimal_n for_o the_o interest_n of_o 1_o l_o forbear_v 6_o month_n in_o money_n 7_o 0â—44_n 10000_o d._n the_o mean_a proportional_a betwixt_o 1.02956_o and_o 1.06000_o will_v be_v the_o decimal_n for_o 9_o month_n viz._n 1.04467_o and_o between_o a_o unite_v or_o 1_o and_o 102956_o will_v be_v .1.01467_o a_o decimal_n mix_v number_n according_a to_o compound_v interest_n for_o 3_o month_n equal_a in_o value_n to_o 1_o l_o 0_o ss_z 3_o Â½_n d._n and_o thus_o you_o may_v with_o facility_n discover_v all_o the_o other_o number_n if_o the_o annual_a table_n have_v be_v for_o half_a yearly_a or_o quarterly_a payment_n you_o must_v find_v 1_o or_o 3_o medium_n between_o every_o continue_a and_o succeed_a year_n which_o to_o effect_v i_o refer_v the_o reader_n to_o lib._n 2._o parag_n 6._o prop._n 1._o and_o 4._o and_o observe_v to_o annex_v cipher_n to_o the_o decimal_n who_o root_n be_v require_v in_o such_o a_o number_n as_o to_o equal_v the_o place_n in_o the_o table_n and_o point_v they_o from_o the_o left_a hand_n to_o the_o right_n so_o that_o the_o first_o prick_n of_o your_o pen_n may_v be_v over_o the_o radius_fw-la or_o integer_fw-la in_o other_o thing_n observe_v lib._n 2._o parag_n 1._o exam_n 5._o the_o frame_n of_o the_o second_o table_n for_o discount_n or_o rebate_v of_o money_n rule_v 1_o as_o 100_o l_o with_o the_o interest_n due_a at_o a_o year_n end_n be_v unto_o the_o principal_a 100_o l_o present_a payment_n so_o a_o unite_v

7._o as_o in_o this_o table_n and_o first_o row_n in_o the_o second_o stand_v the_o product_n viz._n 25011336._o to_o which_o you_o may_v annex_v the_o cipher_n in_o 210_o l._n it_o be_v not_o material_a the_o number_n be_v one_o place_n great_a than_o be_v the_o radius_fw-la &_o yet_o the_o product_n one_o cipher_n defective_a therefore_o strike_v off_o but_o 5_o place_n from_o the_o right_a hand_n and_o the_o fraction_n reduce_v the_o sum_n will_v prove_v at_o 3_o year_n end_n 250_o l_o 2_o ss_z 3_o d._n but_o to_o proceed_v the_o second_o row_n for_o the_o term_n of_o year_n multiply_v by_o 10.14674_o the_o decimal_n for_o 3_o month_n produce_v in_o the_o three_o row_n of_o the_o table_n 25378356_o the_o number_n for_o 3_o year_n and_o 3_o month_n as_o note_v on_o the_o right_a hand_n of_o the_o table_n which_o multiply_v by_o the_o decimal_n 1003358_o for_o 3_o week_n the_o product_n will_v be_v in_o the_o four_o row_n 25463576_o the_o artificial_a number_n for_o 3_o year_n 3_o month_n and_o 3_o week_n and_o last_o multiply_v by_o 1000479_o the_o decimal_n for_o 3_o day_n the_o five_o row_n will_v specify_v in_o the_o product_n 25475773_o the_o artificial_a number_n for_o the_o whole_a time_n viz._n 3_o year_n 3_o month_n 3_o week_n and_o 3_o day_n from_o whence_o sever_v the_o integer_n and_o reduce_v the_o fraction_n the_o total_a appear_v as_o in_o the_o table_n 254_o l_o 15_o ss_z 1_o Â¾_n d._n the_o true_a compound_n interest_n for_o the_o sum_n and_o time_n require_v the_o second_o table_n of_o compound_n interest_n illustrate_v by_o example_n question_n vi_o at_o the_o term_n of_o 6_o month_n a_o be_v to_o pay_v unto_o b_o 500_o l_o but_o do_v agree_v in_o receive_v it_o present_o upon_o discount_n after_o the_o rate_n of_o 6_o l_o per_n cent_n per_fw-la ann_n what_o sum_n of_o money_n will_v discharge_v it_o in_o the_o second_o table_n for_o discount_n of_o money_n i_o find_v the_o decimal_n for_o 6_o month_n .971286_o which_o fraction_n of_o 1_o l_o sterling_n multiply_v by_o 500_o l_o or_o 5_o the_o product_n will_v be_v 4856430_o to_o which_o annex_v 2_o cipher_n the_o number_n will_v be_v 485,643,000_o from_o the_o right_a hand_n cut_v off_o 6_o place_n and_o reduce_v the_o fraction_n there_o will_v appear_v 485_o l_o 12_o sh_z 10_o Â¼_n d_o the_o true_a sum_n upon_o rebate_v that_o will_v discharge_v 500_o l_o 6_o month_n before_o it_o be_v due_a which_o according_a to_o the_o best_a vulgar_a custom_n come_v near_o the_o truth_n as_o by_o pro._n 47_o of_o this_o book_n the_o discount_n be_v but_o for_o a_o short_a time_n viz._n 485_o l_o 8_o sh_z 8_o d_o 3_o q._n question_n vii_o a_o have_v a_o lease_n in_o reversion_n which_o at_o the_o expiration_n of_o 7_o year_n be_v value_v worth_a 1200_o l._n which_o lease_n b_o will_v purchase_v present_a pay_n rebate_n at_o 6_o l_o per_n cent_n per_fw-la ann_n what_o will_v be_v the_o value_n of_o iâ—_n this_o differ_v not_o essential_o from_o the_o last_o for_o it_o be_v no_o more_o but_o to_o find_v the_o present_a value_n of_o 1200_o l_o not_o due_a until_o 7_o annual_a revolution_n be_v complete_v look_v in_o the_o second_o table_n for_o discount_n of_o money_n and_o in_o the_o column_n against_o 7_o year_n you_o will_v discover_v 665057_o which_o decimal_n multiply_v by_o 1200_o l_o produce_v 798,068,400_o from_o the_o right_a hand_n sever_v 6_o place_n and_o reduce_v the_o fraction_n the_o sum_n will_v appear_v in_o money_n 798_o l_o 1_o sh_n 4_o Â½_n d_o very_o near_o and_o so_o much_o money_n present_a pay_n b_o must_v disburse_v to_o a_o for_o his_o lease_n in_o reversion_n commence_v at_o 7_o year_n expiration_n the_o thing_n require_v question_v viii_o a_o be_v to_o pay_v unto_o b_o a_o legacy_n of_o 1800_o l_o which_o be_v to_o be_v discharge_v at_o 3_o several_a and_o equal_a payment_n viz._n at_o the_o end_n of_o 6_o month_n 600_o l_o at_o the_o term_n of_o a_o year_n 600_o more_o and_o the_o last_o payment_n 6_o month_n after_o that_o b_o desire_v it_o present_o and_o a_o be_v willing_a upon_o discount_n at_o 6_o l_o per_n cent_n per_fw-la ann_n what_o sum_n will_v discharge_v it_o at_o one_o present_a and_o entire_a payment_n the_o sum_n hear_v Â _fw-fr the_o decimal_n Â _fw-fr l_o s_o d_o 1_o 582771600_o 1_o 582._o 15._o 5_o 2_o 566037600_o 2_o 566._o 0._o 9_o 3_o 549784200_o 3_o 549._o 15._o 8_o 1698._o 593400_o 1698._o 11._o 10_o propound_v be_v 1800_o l_o at_o 3_o equal_a payment_n the_o decimal_n for_o discount_n of_o 6_o month_n be_v 971286._o which_o multiply_v by_o 600_o l_o the_o first_o payment_n to_o be_v due_a at_o the_o half_a year_n end_n the_o product_n be_v 582771600_o which_o reduce_v do_v prove_v 582_o l_o 15_o s_z 5_o d_o then_o be_v there_o 600_o l_o upon_o a_o year_n rebate_v the_o decimal_n for_o that_o term_n of_o time_n be_v 943396._o which_o multiply_v by_o 600_o l_o will_n produce_v 566,037,600_o which_o reduce_v into_o money_n be_v 566_o l_o o_o sh_z 9_o d_o due_a upon_o the_o year_n rebate_v as_o in_o the_o second_o row_n of_o the_o table_n now_o the_o last_o payment_n be_v 600_o l_o upon_o a_o year_n and_o a_o half_n discount_n to_o find_v a_o artificial_a number_n for_o this_o the_o decimal_n for_o a_o year_n discount_n be_v 943396_o and_o for_o 2_o year_n 889996._o the_o product_n of_o these_o will_v be_v 83.96.18.66.64.16_o the_o quadrat_fw-la extract_v as_o it_o be_v point_v will_v be_v 916307_o a_o mean_a proportional_a number_n betwixt_o the_o first_o and_o second_o year_n according_a unto_o the_o construction_n of_o these_o table_n before_o deliver_v and_o if_o multiply_v by_o 600_o l_o the_o last_o payment_n due_a at_o that_o time_n the_o product_n will_v be_v 549784200_o as_o in_o the_o three_o row_n of_o the_o table_n and_o be_v in_o money_n 549_o l_o 15_o ss_z 8_o d._n the_o total_a 1698_o l_o 11_o ss_z 10_o d._n which_o sum_n will_v discharge_v all_o the_o 3_o payment_n at_o one_o time_n and_o present_a upon_o discount_n and_o the_o 3_o several_a decimal_n who_o total_a be_v 1698593400_o and_o reduce_v will_v prove_v the_o same_o total_a sum_n the_o money_n deduct_v be_v 101_o l_o 8_o ss_z 2_o d._n the_o three_o table_n use_v of_o compound_n interest_n demonstrate_v by_o example_n question_n ix_o if_o a_o annuity_n of_o 60_o l_o per_n ann_n be_v all_o forbear_v 7_o year_n how_o much_o will_v it_o amount_v unto_o when_o that_o term_n expire_v look_v in_o the_o three_o table_n for_o annuity_n forbear_v the_o time_n specify_v where_o against_o 7_o year_n you_o will_v find_v the_o decimal_n 8.39384_o which_o multiply_v by_o 60_o l_o the_o annual_a rent_n the_o product_n prove_v 503.63040_o cut_v off_o 5_o place_n whereby_o to_o sever_v the_o integer_n from_o the_o fraction_n which_o reduce_v into_o money_n and_o you_o shall_v find_v 503_o l_o 12_o ss_z 7_o d._n the_o true_a value_n of_o the_o 60_o l_o annuity_n forbear_v 7_o year_n the_o question_n solve_v question_n x._o a_o do_v owe_v unto_o b_o 186_o l_o and_o upon_o covenant_n to_o pay_v unto_o the_o say_v b_o a_o rent_n of_o 20_o l_o 13_o ss_z 4_o d_o per_fw-mi a_o until_o the_o debt_n shall_v be_v discharge_v yet_o after_o this_o contract_n they_o both_o agree_v to_o respite_v the_o payment_n until_o the_o last_o be_v due_a with_o this_o proviso_n to_o pay_v it_o all_o in_o then_o allow_v interest_n for_o the_o forbearance_n at_o 6_o l_o per_n cent_n per_fw-la ann_n find_v what_o number_n of_o year_n will_v have_v terminate_v the_o annuity_n first_o agree_v upon_o betwixt_o a_o and_o b_o for_o the_o payment_n of_o 186_o l_o by_o 20_o l_o 13_o ss_z 4_o d_o annual_a rent_n which_o will_v be_v perform_v by_o the_o example_n in_o the_o table_n viz._n as_o 62_o 3_o l_o be_v to_o 1_o year_n so_o will_v 186_o l_o be_v unto_o 9_o year_n which_o rent_n be_v to_o be_v respite_v during_o the_o aforesaid_a term_n look_v in_o the_o table_n of_o rent_n forbear_v where_o against_o 9_o year_n you_o will_v find_v this_o 11.49132_o to_o be_v multiply_v by_o the_o decimal_n of_o 20_o l_o 13_o ss_z 4._o the_o decimal_n of_o 13_o ss_z 4_o d_o be_v as_o in_o lib._n 3._o sect_n 1._o chap._n 7._o 66667_o to_o which_o prefix_v the_o integer_fw-la 20_o l_o the_o total_a be_v 2066667._o this_o multiply_v by_o 11.49132_o the_o decimal_n for_o the_o term_n of_o year_n the_o product_n will_v be_v 237-4873183044_a according_a to_o the_o rule_n of_o multiplication_n in_o decimal_n lib._n 3._o sect_n 1._o cap._n 4._o sever_v off_o 10_o place_n for_o the_o fraction_n the_o integer_fw-la will_v be_v 237_o l_o reduce_v 5_o or_o 6_o place_n of_o the_o fraction_n make_v the_o radius_fw-la one_o place_n more_o you_o will_v

Selected quad for the lemma: money_n

Text snippets containing the quad