book_n be_v understand_v the_o account_n that_o owe_v or_o stand_v charge_v and_o the_o word_n creditor_n or_o creditor_n signify_v the_o discharge_n so_o all_o thing_n receive_v or_o the_o receiver_n be_v always_o make_v debtor_n the_o thing_n deliver_v or_o the_o deliverer_n be_v the_o creditor_n all_o which_o be_v compendious_o comprise_v by_o some_o accountant_n according_a to_o these_o follow_a breviate_n and_o thus_o stand_v all_o bill_n bond_n obligation_n of_o thing_n lend_v or_o promise_n to_o lend_v or_o cause_n to_o be_v lend_v or_o pay_v include_v in_o the_o same_o predicament_n with_o the_o two_o former_a whether_o simple_a or_o mix_v the_o foundation_n of_o this_o structure_n what_o debtor_n and_o creditor_n contain_v in_o sum_n unfold_v in_o the_o merchant_n book_n viz._n all_o good_n man_n money_n voyages_n ship_n cargazone_n bill_n of_o exchange_n ware_n or_o commodity_n etc._n etc._n with_o profit_n and_o loss_n be_v contract_v into_o two_o kind_n viz._n debtor_n and_o creditor_n and_o those_o contain_v in_o these_o predicament_n under_o 12_o species_n whether_o proper_a for_o company_n factorage_n domestic_a or_o foreign_a or_o mix_v with_o the_o other_o two_o how_o these_o be_v comprehend_v under_o the_o notion_n of_o debtor_n or_o make_v so_o by_o commerce_n and_o trade_n i._o land_n rent_n revenue_n money_n wares_n or_o commodity_n either_o in_o possession_n or_o ship_v away_o to_o foreign_a part_n with_o all_o those_o who_o be_v engage_v to_o pay_v or_o deliver_v must_v be_v inscribe_v in_o the_o merchant_n book_n debtor_n to_o the_o owner_n to_o their_o cash_n or_o stock_n ii_o whosoever_o receive_v or_o the_o good_n receive_v whether_o money_n or_o merchandize_n upon_o their_o own_o proper_a account_n for_o factorage_n or_o company_n wâite_v they_o oâ_n the_o ware_n debtor_n iii_o if_o a_o man_n deliver_v ware_n or_o pay_v money_n bill_n or_o exchange_n upon_o the_o account_n of_o another_o that_o party_n upon_o who_o account_n it_o be_v pay_v become_v debtor_n iv_o a_o man_n who_o deliver_v a_o assignation_n in_o payment_n whether_o his_o own_o or_o not_o but_o for_o the_o use_n of_o another_o than_o the_o party_n upon_o who_o account_n it_o be_v deliver_v be_v make_v debtor_n v._o money_n receive_v that_o be_v take_v up_o at_o interest_n then_o be_v cash_n common_o write_v for_o the_o principal_a debtor_n but_o the_o loan_n or_o profit_n and_o loss_n for_o the_o interest_n money_n be_v make_v debtor_n vi_o a_o adventurer_n or_o any_o other_o for_o he_o that_o send_v merchandize_n unto_o a_o foreign_a place_n or_o region_n whether_o proper_a or_o for_o any_o company_n consign_v to_o a_o factor_n or_o resident_n there_o the_o voyage_n or_o ship_n be_v write_v debtor_n vii_o a_o merchant_n that_o insure_v any_o ware_n and_o receive_v the_o money_n present_o then_o be_v the_o insurer_n or_o cash_n write_v debtor_n but_o in_o case_n the_o insurance_n be_v not_o immediate_o pay_v then_o be_v the_o party_n for_o who_o they_o be_v insure_v debtor_n for_o the_o insurance_n reckon_v viii_o upon_o advice_n that_o any_o good_n insure_v for_o proper_a or_o company-account_n and_o those_o ship_v to_o sea_n be_v cast_v away_o in_o part_n or_o all_o the_o insurer_n or_o insurance_n reckon_v be_v debtor_n but_o if_o otherwise_o than_o profit_n and_o loss_n be_v subscribe_v debtor_n ix_o upon_o return_v or_o advice_n from_o a_o factor_n that_o the_o ship_v ware_n be_v receive_v whether_o for_o proper_a or_o company-account_n enter_v the_o factor_n there_o resident_a debtor_n x._o a_o factor_n that_o draw_v a_o echange_v upon_o the_o merchant_n company_n himself_o or_o other_o to_o the_o party_n or_o party_n uâon_a whoâe_n account_v it_o be_v draw_v inse_v it_o debtor_n and_o the_o like_a upon_o exchange_n remit_v the_o acceptor_n who_o must_v discharge_v it_o be_v debtor_n xi_o a_o merchant_n or_o company_n that_o lose_v by_o the_o sale_n of_o ware_n by_o bankrupt_n exchange_n insurance_n interest_n gratuity_n or_o whatsoever_o prove_v a_o detriment_n in_o commerce_n and_o trade_n to_o all_o or_o any_o of_o these_o subscribe_v profit_n and_o loss_n debtor_n xii_o in_o balance_v of_o account_n if_o there_o be_v money_n or_o ware_n in_o the_o house_n unsold_a or_o in_o the_o possession_n of_o their_o partner_n and_o correspondent_o who_o have_v not_o render_v satisfaction_n then_o must_v people_n and_o cash_n bâth_v in_o the_o old_a and_o new_a book_n be_v write_v debtor_n creditor_n in_o merchant_n account_n be_v general_o but_o reconversion_n from_o debtor_n discharge_v or_o the_o principal_a include_v brief_o in_o these_o 12_o species_n i._o stock_n or_o cash_n for_o ware_n unsold_a creditor_n and_o the_o people_n to_o who_o any_o one_o be_v indebt_v who_o name_n be_v distinct_o to_o be_v specify_v under_o the_o notion_n or_o by_o the_o subscription_n of_o creditor_n ii_o what_o thing_n soever_o a_o merchant_n deliver_v or_o engage_v to_o be_v deliver_v whether_o for_o proper_a factorage_n or_o company-account_n in_o money_n or_o ware_n either_o the_o good_n deliver_v or_o the_o party_n promise_v be_v creditor_n iii_o any_o man_n that_o deliver_v money_n ware_n exchange_n or_o assignation_n upon_o another_o account_n that_o party_n or_o party_n upon_o who_o account_n it_o be_v receive_v muât_v be_v subscribe_v creditor_n iv_o a_o merchant_n borrow_v money_n at_o interest_n which_o be_v receive_v the_o party_n who_o deliver_v it_o or_o the_o lender_n be_v creditor_n for_o the_o principal_a and_o enter_v the_o loan_n reckon_v or_o profit_n and_o loss_n for_o the_o interest_n money_n creditor_n v._o a_o man_n have_v a_o principal_a of_o another_o in_o his_o possession_n the_o time_n of_o payment_n expire_v and_o yet_o detain_v the_o owner_n of_o the_o principal_n be_v for_o the_o interest_n of_o that_o time_n only_o to_o be_v write_v creditor_n vi_o a_o merchant_n receive_v advice_n from_o his_o factor_n of_o the_o send_v good_n receive_v and_o sell_v or_o not_o enter_z then_o voyage_n to_o such_o a_o place_n consign_v to_o his_o correspondent_a creditor_n vii_o any_o ware_n or_o adventure_n safe_o arrive_v the_o insurance_n not_o pay_v but_o custom_n and_o charge_n defray_v inscribe_v one_o of_o these_o viz._n cash_n charges_n the_o insurer_n insurance_n reckon_v or_o profit_n and_o loss_n creditor_n viii_o good_n or_o commodity_n insure_v for_o proper_a or_o company-account_n shiât_v to_o sea_n and_o by_o misfortune_n cast_v away_o as_o by_o letter_n from_o the_o factor_n or_o resident_n appear_v subscribe_v voyage_n to_o the_o place_n consign_v to_o such_o a_o man_n for_o proper_a or_o company_n account_v creditor_n ix_o a_o meâchant_n from_o his_o factor_n or_o resident_n receive_v return_v in_o money_n or_o merchanâizes_n in_o lieu_n of_o the_o ware_n receive_v and_o sell_v whether_o for_o proper_a or_o company_n account_n the_o factor_n or_o correspondent_n that_o cause_v these_o good_n to_o be_v deliver_v be_v creditor_n x._o a_o exchange_n draw_v by_o a_o merchant_n upon_o his_o factor_n for_o his_o proper_a company_n or_o any_o other_o account_n or_o remit_v then_o the_o party_n or_o party_n for_o who_o account_n it_o be_v draw_v charge_v send_v or_o remit_v make_v creditor_n the_o correspondent_a debtor_n xi_o a_o merchant_n or_o company_n that_o gain_v by_o gratuity_n the_o sale_n of_o ware_n exchange_n insurance_n interest_n or_o what_o thing_n be_v beneficial_a in_o commerce_n and_o trade_n to_o all_o or_o any_o these_o subscribe_v profit_n and_o loss_n creditor_n xii_o in_o balance_v of_o book_n factor_n partner_n and_o all_o other_o unsatisfy_a if_o fortune_n have_v favour_v the_o merchant_n stock_n and_o the_o people_n will_v be_v in_o the_o old_a and_o new_a book_n creditor_n to_o shun_v mistake_n betwixt_o debtor_n and_o creditor_n and_o not_o to_o be_v prolix_a i_o prescribe_v these_o rule_n and_o instruction_n more_o compendious_o than_o other_o have_v deliver_v they_o yet_o those_o i_o have_v see_v in_o some_o copy_n epitomise_v like_o the_o good_a work_n of_o this_o age_n easy_o to_o be_v remember_v without_o over-fraighting_a the_o reader_n memory_n which_o for_o the_o assistance_n of_o young_a man_n i_o will_v render_v in_o this_o breviate_v a_o transcription_n of_o other_o present_v to_o your_o view_n in_o two_o table_n one_o balance_v the_o other_o the_o debtor_n or_o whatsoever_o owe_v be_v 1_o what_o good_n we_o have_v 2_o who_o receive_v any_o thing_n 3_o all_o ware_n that_o we_o buy_v 4_o the_o man_n to_o who_o we_o sell_v 5_o those_o for_o who_o we_o buy_v 6_o those_o for_o who_o we_o pay_v 7_o the_o man_n who_o be_v to_o pay_v 8_o good_n that_o be_v insure_v 9_o those_o for_o who_o we_o insure_v 10_o voyage_n where_o we_o send_v 11_o good_n on_o which_o be_v gain_v 12_o profit_n and_o loss_n the_o creditor_n or_o what_o be_v to_o receive_v be_v 1_o from_o whence_o it_o arise_v 2_o who_o deliver_v any_o
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 ¾_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 ¾_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 fâactions_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 thât_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 â2_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 aây_a ware_n or_o commodity_n by_o retail_n the_o prâce_n or_o value_n of_o the_o whole_a parâel_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
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 ½_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 â0â_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 1ââââ_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 âib_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 âimed_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 ¾_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 ¾_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
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to_o be_v deduct_v the_o interest_n of_o which_o sum_n be_v thus_o find_v in_o this_o proposition_n it_o be_v six_o month_n and_o 8_o l_o per_fw-la centum_fw-la as_o in_o the_o first_o row_n or_o rule_v in_o the_o table_n in_o the_o second_o row_n under_o 100_o l_o stand_v the_o term_n for_o a_o year_n in_o the_o same_o denomination_n with_o the_o time_n give_v viz._n 12_o month_n and_o under_o the_o three_o term_n the_o time_n limit_v for_o payment_n viz._n 6_o month_n the_o product_n of_o they_o according_a to_o the_o double_a rule_n of_o proportion_n in_o the_o three_o line_n be_v as_o 1200_o to_o 8_o l._n so_o 720._o these_o be_v again_o reduce_v in_o the_o operation_n of_o the_o four_o table_n as_o 120_o to_o 8._o so_o 72_o unto_o 4_o l._n 16_o s._n and_o may_v have_v be_v reduce_v again_o to_o 5.1.24_o which_o will_v also_o produce_v 4_o l._n 16_o s._n that_o subtract_v from_o 120_o l._n the_o remainder_n will_v be_v 115_o l._n 4_o s._n which_o show_v 15_o l._n 4_o s._n clear_a gain_n in_o relation_n to_o the_o rate_n by_o which_o it_o be_v buy_v and_o sell_v at_o with_o the_o interest_n for_o the_o forbearance_n agree_v upon_o according_a to_o custom_n and_o contract_n but_o not_o exact_o true_a proposition_n ix_o by_o the_o price_n of_o any_o ware_n buy_v and_o sell_v with_o the_o time_n limit_v for_o payment_n to_o find_v the_o gain_n make_v or_o loss_n sustain_v and_o at_o what_o rate_n per_fw-la cent_n per_fw-la annum_fw-la the_o rule_n rule_n 1._o as_o the_o first_o price_n shall_v be_v unto_o 100_o l._n so_o the_o gain_n or_o loss_n if_o for_o 12_o month_n rule_n 2._o so_o the_o time_n limit_n a_o explanation_n in_o gain_n or_o loss_n with_o time_n lib._n 2._o parag._n 10._o a_o merchant_n buy_v mace_n at_o 6_o s._n 4_o d._n the_o l._n ready_a money_n and_o he_o sell_v the_o same_o again_o unto_o a_o grocer_n for_o 7_o s._n the_o l._n at_o this_o rate_n the_o mace_n be_v deliver_v and_o upon_o condition_n to_o be_v pay_v at_o the_o end_n of_o 4_o month_n next_o ensue_v the_o receipt_n thereof_o and_o it_o be_v require_v what_o gain_n the_o merchant_n make_v of_o his_o money_n and_o at_o what_o rate_n per_fw-la cent_n per_fw-la annum_fw-la in_o all_o question_n of_o this_o kind_n make_v the_o price_n at_o which_o it_o be_v buy_v and_o as_o it_o be_v sell_v of_o one_o denomination_n the_o difference_n shall_v be_v the_o three_o term_n in_o the_o first_o rule_n 100_o l._n the_o second_o number_n and_o the_o price_n for_o which_o it_o be_v buy_v the_o first_o term_n in_o the_o second_o rule_n under_o the_o first_o number_n i_o place_v the_o magnitude_n of_o a_o year_n in_o that_o denomination_n in_o which_o the_o time_n limit_v be_v give_v as_o in_o month_n week_n or_o day_n in_o this_o it_o be_v month_n as_o the_o letter_n m_o denote_v the_o space_n of_o time_n give_v for_o payment_n be_v 4_o month_n subscribe_v that_o under_o the_o three_o number_n then_o draw_v a_o line_n from_o thence_o towards_o 19_o g_z and_o that_o cross_a with_o another_o as_o from_z 12_o m_o t_o 2_o g_z in_o this_o example_n these_o multiply_v crosse-wise_a the_o second_o rule_n be_v reverse_v for_o the_o less_o time_n be_v give_v for_o payment_n the_o profit_n will_v be_v the_o great_a in_o the_o three_o row_n stand_v the_o product_n in_o the_o rule_n of_o 3_o direct_v and_o in_o the_o four_o row_n or_o table_n be_v place_v the_o form_n of_o operation_n wherein_o the_o desire_a product_n be_v discover_v to_o be_v 31_o 1â_n 19_o l_o thou_o be_v 31_o l_o 11_o ss_z 6_o d_o 1â_n 19_o the_o profit_n require_v at_o the_o rate_n per_fw-mi cent_n per_fw-la annum_fw-la proposition_n x._o a_o grocer_n buy_v clove_n at_o 4_o ss_z 3_o d_o the_o l._n and_o after_o 6_o month_n time_n sell_v they_o again_o for_o 4_o ss_z the_o l_o what_o loss_n do_v the_o grocer_n sustain_v and_o how_o much_o per_fw-la cent_n per_fw-la ann_n by_o the_o last_o proposition_n you_o will_v find_v his_o loss_n to_o be_v 11_o l._n 15_o ss_z 3_o 9_o 17_o d._n proposition_n xi_o by_o the_o difference_n of_o price_n in_o any_o one_o commodity_n buy_v and_o sell_v by_o wholesale_n or_o retail_v to_o find_v what_o time_n must_v be_v allow_v for_o to_o gain_v after_o any_o rate_n per_fw-la centum_fw-la per_fw-la annum_fw-la that_o shall_v be_v assign_v the_o rule_n rule_n 1._o as_o 100_o l_o sterling_a be_v unto_o 12_o month_n so_o the_o rate_n propound_v unto_o the_o 1_o price_n rule_n 2._o so_o the_o gain_n or_o loss_n a_o explanation_n in_o gain_n or_o loss_n with_o time_n unknown_a lib._n 2._o parag._n 10._o a_o tradesman_n buy_v nutmeg_n at_o 8_o ss_z
be_v know_v that_o four_o ell_n of_o antwerp_n be_v but_o equal_a to_o 3_o yard_n of_o london_n measure_n there_o will_v be_v no_o more_o in_o it_o then_o to_o multiply_v the_o ell_n propound_v viz._n 47_o by_o 3_o which_o product_v 141_o divide_v by_o 4_o the_o quotient_n will_v have_v be_v 35_o ¼_n yard_n but_o suppose_v this_o proporrion_n not_o know_v but_o by_o derivation_n to_o be_v collect_v from_o other_o as_o in_o this_o plurality_n of_o measure_n you_o will_v find_v that_o the_o city_n of_o london_n according_a to_o the_o english_a standard_n for_o measure_n have_v proportion_n to_o the_o ell_n of_o lion_n in_o france_n and_o those_o again_o to_o antwerp_n in_o the_o low_a country_n from_o whence_o the_o proportion_n will_v arrive_v according_a to_o the_o first_o table_n as_o 20_o to_o 25_o so_o 60_o then_o in_o the_o second_o table_n as_o 100_o ell_n of_o antwerp_n to_o so_o many_o yard_n of_o london_n suppose_v to_o be_v find_v what_o will_v 47_o ell_n of_o antwerp_n require_v to_o have_v a_o equality_n in_o their_o measure_n in_o the_o three_o row_n or_o table_n they_o be_v both_o reduce_v into_o a_o single_a rule_n and_o in_o the_o four_o table_n unto_o their_o least_o denomination_n viz._n as_o 4_o be_v to_o 1_o so_o 141_o in_o proportion_n to_o 35_o ¼_n yard_n as_o it_o be_v before_o the_o thing_n require_v and_o i_o hope_v explain_v from_o whence_o i_o will_v proceed_v to_o the_o customary_a rule_n use_v in_o factorage_n proposition_n xxxiii_o in_o the_o first_o place_n you_o must_v consider_v what_o the_o merchant_n allow_v his_o factor_n in_o lieu_n of_o his_o pain_n and_o the_o adventure_n of_o his_o person_n as_o whether_o ½_n â
_n ¼_n â
_n etc._n etc._n that_o proportional_a part_n take_v from_o a_o integer_fw-la the_o remainder_n be_v the_o merchant_n the_o other_o show_v the_o value_n of_o the_o factor_n person_n the_o rule_n as_o the_o proportional_a part_n of_o the_o merchant_n adventure_n shall_v be_v to_o the_o whole_a stock_n adventure_v in_o his_o charge_n so_o will_v the_o proportional_a part_n allow_v to_o the_o factor_n be_v to_o the_o estimate_n of_o his_o person_n in_o the_o employment_n a_o explanation_n of_o factorage_n lib._n 2._o parag._n 8._o if_o a_o merchant_n entrust_v his_o factor_n with_o a_o sum_n of_o money_n upon_o condition_n he_o shall_v have_v half_a the_o gain_n in_o this_o case_n the_o factor_n person_n be_v value_v equal_a to_o the_o adventure_n but_o admit_v â
_n part_n of_o the_o gain_n be_v to_o be_v allow_v the_o factor_n and_o 1000_o l_o commit_v to_o his_o charge_n the_o merchant_n share_n will_v be_v but_o â
_n which_o be_v in_o proportion_n to_o 1000_o l_o as_o â
_n be_v unto_o 500_o l_o the_o estimate_n of_o the_o factor_n person_n as_o by_o the_o rule_n and_o table_n appear_v and_o if_o in_o this_o employment_n 2000_o l_o be_v gain_v by_o the_o adventure_n with_o all_o charge_n defray_v the_o factor_n share_n will_v be_v 666_o l_o 13_o ss_z 4_o d_o and_o the_o merchant_n 1333_o l_o 6_o ss_z 8_o d_o the_o one_o but_o half_a the_o other_o if_o the_o factor_n have_v be_v allow_v but_o ¼_n of_o the_o gain_n in_o this_o adventure_n his_o person_n have_v be_v value_v at_o 333_o l_o 6_o ss_z 8_o d_o and_o his_o gain_n will_v have_v amount_v to_o 500_o l_o if_o â
_n have_v be_v his_o proportional_a part_n than_o the_o merchant_n have_v be_v and_o his_o gain_n 1600_o l_o the_o factor_n 400_o l_o and_o the_o estimate_n of_o his_o person_n in_o this_o employment_n 250_o i_o etc._n etc._n proposition_n xxxiv_o if_o a_o merchant_n shall_v deliver_v unto_o his_o factor_n any_o sum_n of_o money_n and_o do_v agree_v for_o to_o allow_v he_o 2_o 7_o part_n of_o his_o gain_n with_o this_o proviso_n that_o he_o employ_v such_o a_o stock_n of_o his_o own_o as_o shall_v be_v mention_v in_o the_o contract_n between_o they_o what_o shall_v the_o factor_n person_n be_v value_v at_o and_o how_o much_o will_v his_o gain_n amount_v unto_o find_v by_o the_o last_o proposition_n what_o the_o proportional_a part_n be_v unto_o the_o merchant_n adventure_n and_o from_o the_o factor_n part_n subtract_v his_o stock_n adventure_v the_o remainder_n will_v be_v the_o estimate_n of_o the_o factor_n person_n and_o the_o 2_o 7_o part_n of_o the_o whole_a gain_n will_v produce_v his_o profit_n as_o for_o example_n suppose_v a_o merchant_n deliver_v to_o his_o factor_n charge_v 2000_o l_o conditional_o that_o he_o employ_v 300_o l_o of_o his_o own_o in_o the_o same_o adventure_n the_o proportion_n will_v be_v viz._n as_o 5_o 7_o be_v to_o 200_o l_o so_fw-mi will_v 2_o 7_o be_v unto_o 800_o l_o from_o whence_o subtract_v 200_o l_o the_o remainder_n be_v 600_o for_o the_o estimate_n of_o the_o factor_n person_n in_o the_o employment_n and_o admit_v the_o gain_n at_o his_o return_n be_v 3675_o l_o 8_o ss_z 9_o d_o the_o 2_o 7_o part_n of_o it_o will_v be_v find_v 1050_o l_o 2_o ss_z 6_o d_o and_o the_o merchant_n share_n will_v be_v 2625_o l_o 6_o s_n 3_o d._n both_o proposition_n answer_v proposition_n xxxv_o of_o factorage_n a_o merchant_n do_v condition_n with_o his_o factor_n to_o allow_v he_o for_o the_o adventure_n of_o his_o person_n a_o part_n of_o his_o stock_n and_o according_a to_o that_o proportion_n of_o the_o whole_a adventure_n he_o shall_v share_v in_o the_o gain_n from_o hence_o to_o discover_v what_o the_o factor_n person_n be_v value_v at_o and_o the_o proportion_n of_o his_o profit_n be_v the_o thing_n require_v to_o explain_v this_o suppose_v a_o merchant_n entrust_v his_o factor_n with_o 1680_o l_o and_o with_o this_o condition_n that_o if_o he_o gain_v so_o much_o money_n he_o shall_v have_v 240_o l_o for_o his_o pain_n and_o so_o proportional_o for_o a_o less_o or_o great_a increase_n in_o all_o question_n of_o this_o kind_n reduce_v the_o two_o sum_n like_o fraction_n into_o their_o least_o denomination_n viz._n 240_o 1680_o which_o will_v be_v 1_o 7_o then_o by_o the_o 33_o proposition_n as_o 6_o 7_o be_v to_o 1680_o so_o 1_o 7_o to_o 280_o l_o the_o estimate_n of_o the_o factor_n person_n in_o this_o employment_n and_o suppose_v he_o gain_v all_o charge_n defray_v 1481_o l_o 7_o ss_z 6_o d_o what_o must_v he_o have_v for_o his_o pain_n the_o answer_n will_v be_v 211_o l_o 12_o ss_z 6_o d_o lib._n 2._o parag_n 9_o quest_n 6._o that_o be_v â_o 7_o according_a to_o the_o article_n of_o agreement_n make_v proposition_n xxxvi_o a_o merchant_n condition_n with_o his_o factor_n to_o allow_v he_o out_o of_o his_o gain_n a_o certain_a profit_n in_o the_o pound_n sterling_a by_o which_o it_o be_v require_v to_o find_v what_o the_o factorage_n will_v amount_v to_o in_o any_o sum_n propound_v the_o rule_n as_o 1_o l_o sterling_a or_o any_o other_o sum_n of_o money_n give_v shall_v be_v in_o proportion_n to_o what_o be_v allow_v for_o factorage_n so_o the_o gain_n of_o the_o adventure_n in_o the_o first_o denomination_n will_v be_v proportional_a to_o the_o gain_n for_o the_o factor_n share_n a_o explanation_n of_o factorage_n lib._n 3._o sect_n 1._o cap._n 7._o table_n 1._o a_o merchant_n have_v a_o due_a but_o doubtful_a debt_n owe_v he_o in_o another_o country_n where_o he_o be_v to_o employ_v a_o factor_n who_o have_v letter_n of_o credence_n to_o demand_v his_o money_n due_a and_o with_o this_o condition_n to_o have_v 13_o â
_n d_o in_o every_o pound_n sterling_a that_o he_o shall_v procure_v of_o it_o the_o factor_n by_o his_o industry_n recover_v 1200_o l_o of_o the_o debt_n what_o do_v his_o salary_n amount_v unto_o by_o the_o rule_n of_o three_o you_o will_v find_v 67_o l_o 10_o s_n and_o so_o like_o wise_a in_o the_o table_n according_a to_o the_o rule_n of_o decimal_n ãâã_d by_o this_o you_o may_v state_n other_o question_n of_o factorage_n and_o in_o this_o form_n proposition_n xxxvii_o a_o merchant_n take_v up_o money_n to_o freight_v his_o ship_n with_o condition_n to_o allow_v 26_o l_o per_n cent_n and_o that_o to_o be_v pay_v where_o the_o good_n shall_v be_v land_v with_o this_o proviso_n that_o the_o creditor_n shall_v stand_v to_o such_o hazard_n as_o belong_v to_o sea_n viz._n shipwreck_n or_o pirate_n etc._n etc._n the_o rule_n if_o the_o sum_n of_o 100_o l_o sterl_n or_o any_o other_o money_n shall_v require_v upon_o adventure_n 26_o l_o for_o interest_n then_o any_o great_a or_o lesser_a sum_n of_o the_o first_o money_n will_v be_v in_o the_o same_o proportion_n to_o the_o require_a gain_n a_o explanation_n of_o sea-hazard_n or_o bottomree_a lib._n 2._o parag._n 8._o cambio_z maritimo_fw-la some_o call_v this_o rule_n wherein_o the_o creditor_n stand_v to_o the_o hazard_n with_o the_o merchant_n at_o sea_n that_o if_o the_o ship_n be_v lose_v he_o lose_v
per_fw-la cent_n per_fw-la ann_n and_o the_o principal_n be_v here_o the_o thing_n demand_v a_o explanation_n of_o this_o proposition_n lib._n 2._o parag_n 10._o quest_n 4._o in_o the_o first_o rule_n as_o 8_o l_o interest_n be_v to_o 100_o l_o principle_n what_o 8_o â
_n the_o interest_n receive_v in_o the_o second_o rule_n stand_v the_o term_n of_o time_n viz._n 12_o mo_z and_z 5_o m._n which_o multiplyer_n and_o the_o 2_o divider_n increase_v reciprocal_o by_o one_o another_o they_o will_v produce_v these_o 3_o number_n viz._n 40._o 100_o 100_o all_o question_n of_o this_o nature_n be_v make_v either_o direct_a or_o reverse_v according_o as_o the_o product_n be_v place_v but_o by_o either_o way_n the_o quotient_n will_v be_v discover_v 250_o l_o the_o principal_n lend_v as_o in_o the_o table_n the_o proposition_n solve_v according_a to_o demand_v proposition_n xlii_o what_o shall_v the_o simple_a interest_n of_o a_o mix_v principal_a as_o 265_o l_o 13_o ss_z 4_o d_o 1_o q._n amount_v unto_o at_o 6_o l_o per_fw-la cent_n per_fw-la ann_n a_o explanation_n of_o interest_n money_n by_o the_o rule_n of_o practice_n lib_fw-la 2._o parag._n 9_o queât_fw-la 4_o 5_o &_o 6._o the_o increase_n 100_o l._n 6_o in._n 265_o l._n 13_o ss_z 4_o ¼_n d._n product_n l_o 15_o 94._o 00._o 1_o ½_n 20_o 100_o l_o divid_n 6_o l_o multipl_n s_o 18_o 80_o  _fw-fr 12_o d_o 9_o 61_o 4_o qui_fw-fr 2_o 46_o 26_o 100_o or_o 23_o 50_o of_o any_o mix_a sum_n will_v be_v thus_o discover_v first_o place_n your_o proposition_n according_a to_o the_o demand_n make_v as_o here_o viz._n if_o 100_o l_o require_v 6_o l_o interest_n what_o shall_v the_o principal_n give_v as_o 265_o l_o 13_o ss_z 4_o ¼_n d_o in_o this_o 6_o be_v the_o multiplier_n with_o which_o increase_n the_o principal_a as_o in_o lib._n 1._o sect_n 1._o parag_n 4._o exam_n 9_o and_o the_o product_n will_v prove_v 1594_o l_o 0_o ss_z 1_o ½_n d._n here_o draw_v a_o line_n as_o in_o the_o table_n cut_v off_o two_o place_n on_o the_o right_a hand_n aâ_n 94_o because_o 100_o be_v the_o divisor_n the_o quotient_a 15_o l_o second_o the_o remainder_n 94_o or_o 94_o 100_o reduce_v into_o shilling_n by_o the_o multiplication_n of_o 20_o the_o product_n will_v be_v 1880_o and_o be_v no_o shilling_n leave_v in_o the_o last_o operation_n sever_v 2_o place_n with_o the_o line_n the_o quotient_n be_v 18_o ss_z the_o remainder_n 80_o which_o by_o 12_o reduce_v into_o penny_n and_o add_v to_o it_o 1_o d_o remain_v in_o the_o first_o product_n cut_v off_o 2_o figure_n on_o the_o right_a hand_n viz._n 61_o so_o on_o the_o left_a hand_n there_o will_v be_v 9_o d._n the_o 61_o reduce_v into_o farthing_n by_o 4_o produce_v 244_o to_o which_o add_v the_o ½_n d_o remain_v yet_o in_o the_o first_o product_n the_o sum_n be_v 246_o that_o be_v 2_o q._n and_o 46_o 100_o so_o the_o total_a interest_n for_o a_o year_n of_o 265_o l_o 13_o ss_z 4_o ¼_n d_o at_z 6_o l_o per_n cent_n come_v unto_o 15_o l_o 18_o ss_z 9_o d_o 2_o 2d_o 50_o q_n as_o by_o the_o operation_n in_o the_o table_n be_v conspicuous_a proposition_n xliii_o to_o find_v the_o use-money_n of_o any_o sum_n who_o principal_a and_o interest_n be_v of_o several_a denomination_n as_o 956_o l_o 7_o ss_z 6_o d_o at_z 5_o l_o 17_o ss_z 6_o d_o per_fw-mi cent_n per_fw-la ann_n a_o explanation_n to_o solve_v any_o question_n prin._n inter._n l_o ss_z d_o 100_o 5._o 17._o 6._o 956_o 7_o 6_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr 5_o the_o product_n 4781_o 17_o 6_o 478_o 3_o 9_o 239_o 1_o 10_o ½_n 119_o 10_o 11_o ¼_n the_o interest_n money_n l_o 56_o 18_o 14_o 0_o ¾_n ss_z 3_o 74_o 17_o 6_o d_o 8_o 88_o q_o 3_o 55_o â00_o of_o this_o kind_n state_n the_o proposition_n as_o in_o the_o head_n of_o the_o table_n then_o take_v the_o great_a denomination_n of_o the_o interest_n allow_v as_o in_o this_o example_n 5_o l._n which_o multiply_v through_o all_o the_o denomination_n of_o the_o principal_a here_o state_v according_a to_o sect_n 1._o parag_n 4._o examp_n 9_o the_o product_n will_v prove_v 4781_o l_o 17_o ss_z 6_o d._n have_v the_o interest_n be_v 6_o l_o the_o product_n will_v have_v contain_v the_o principal_a once_o more_o but_o be_v 17_o ss_z 6_o d_o divide_v it_o into_o proportional_a part_n lib._n 2._o parag_n 9_o quest_n 4._o 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_n the_o interest_n l_o 29_o 57_o 15_o 6_o â
_n  _fw-fr 20_o  _fw-fr  _fw-fr s_n 11_o 55_o month_n 11_o d_o 6_o 66_o 6_o q_o 2_o 66_o a_o 3_o  _fw-fr  _fw-fr 2_o as_o in_o the_o head_n of_o the_o table_n that_o multiply_v by_o the_o interest_n allow_v in_o this_o 5_o l_o the_o product_n be_v 3226_o l_o 13_o s_o 4_o d._n now_o be_v the_o money_n be_v to_o be_v continue_v but_o 11_o month_n take_v proportional_a part_n as_o in_o the_o table_n at_o a_o 6_o m._n 3_o m._n and_o 2_o m._n for_o the_o 6_o m._n take_v half_a the_o first_o product_n than_o ¼_n and_o â
_n or_o thus_o ½_n of_o 3226_o l_o 13_o s_o 4_o d._n be_v 1613_o l_o 6_o s_z 8_o d_o for_o 3_o month_n the_o ½_n of_o that_o be_v 806_o l_o 13_o s_o 4_o d._n last_o 2_o month_n â
_n part_n of_o the_o former_a which_o be_v 537_o l_o 15_o s_o 6_o â
_n d._n this_o do_v proceed_v as_o in_o the_o last_o or_o by_o 42_o proposition_n and_o you_o will_v discover_v the_o interest_n money_n to_o be_v 29_o l_o 11_o s_z 6_o d_o 2_o 66_o 100_o q._n the_o demand_n perform_v and_o if_o it_o have_v be_v require_v for_o any_o long_a forbearance_n find_v the_o interest_n for_o the_o term_n of_o year_n by_o the_o former_a proposition_n and_o the_o part_n of_o a_o year_n by_o this_o proposition_n xlv_o what_o shall_v the_o use-money_n come_v unto_o of_o any_o sum_n who_o principal_a interest_n and_o time_n be_v all_o compound_a number_n viz._n 543_o l_o 13_o ss_z 4_o d_o to_o be_v continue_v for_o 9_o month_n at_o 5_o l_o 12_o ss_z 6_o d_o per_fw-mi cent_n per_fw-la ann_n a_o explanation_n the_o proposition_n princip_n interest_n l_o s_o d_o 100_o 5._o 12._o 6_o 543_o 13_o 4_o product_n of_o interest_n per_fw-mi cent_n per_fw-la ann_n 2718_o 6_o 8_o 271_o 16_o 8_o 67_o 19_o 2_o the_o total_a be_v 3058_o 2_o 6_o interest_n in_o respect_n of_o time_n 1529_o 1_o 3_o 764_o 10_o 7_o ½_n a_o l_o 22_o 93_o 11_o 10_o ½_n 5_o l_o 12_o s_z 6_o d_o  _fw-fr 20_o  _fw-fr  _fw-fr 5_o l_o s_o 18_o 71_o month_n 9_o ½_n 10_o ss_z d_o 8_o 62_o b_o 6_o ½_n ¼_n 2_o ss_z 6_o d_o qui_fw-fr 2_o ½_n b_o 3_o ½_n be_v state_v as_o in_o the_o head_n of_o the_o table_n multiply_v the_o principal_a by_o the_o great_a denomination_n of_o interest_n viz._n 5_o l_o as_o in_o the_o table_n at_o a_o according_a to_o the_o prescribe_a rule_n of_o practice_n lib._n 2._o paragr_n 9_o quest_n 4._o for_o the_o 10_o ss_z take_v half_a the_o principal_a and_o for_o the_o 2_o ss_z 6_o d_o â
_n or_o ¼_n part_n of_o the_o last_o so_o you_o will_v produce_v these_o 3_o number_n 2718_o l_o 6_o ss_z 8_o d._n second_o 271_o
or_o 1_o l_o endue_v at_o the_o same_o term_n of_o time_n shall_v be_v to_o a_o decimal_n fraction_n interest_n deduct_v rule_n 2._o as_o 106_o l_o upon_o discount_n for_o the_o term_n of_o a_o year_n shall_v be_v in_o proportion_n to_o the_o decimall_n last_o find_v so_o will_v 100_o l_o sterling_n or_o its_o value_n present_a payment_n be_v proportional_a to_o a_o decimal_n for_o the_o time_n require_v a_o illustration_n  _fw-fr  _fw-fr prin._n decimal_n principal_n decim_fw-la i_o  _fw-fr 106_o l_o be_v to_o 100_o l_o so_n will_v 1_o l_o be_v to_o .9433962_o two_o as_o 106_o l_o be_v to_o .9433962_o so_o 100_o l_o be_v to_o .8899964_o iii_n  _fw-fr 106_o l_o be_v to_o .8899964_o so_o 100_o l_o unto_o .8396192_o the_o second_o table_n for_o discount_n or_o rebate_v of_o money_n at_o 6_o l_o per_n cent_n per_fw-la ann_n be_v thus_o compose_v for_o the_o first_o year_n and_o rule_n 1._o as_o 106_o l_o due_n at_o a_o year_n end_n shall_v be_v worth_a 100_o l_o present_a pay_n so_o 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place_n less_o upon_o discount_n be_v but_o fraction_n or_o part_n of_o 1_o l_o principal_a viz._n 943396_o 1000000_o as_o in_o the_o first_o year_n how_o to_o find_v decimal_a number_n for_o part_n of_o a_o year_n upon_o discount_n or_o for_o half_a year_n and_o quarterly_a payment_n these_o be_v compose_v after_o the_o same_o manner_n as_o the_o table_n of_o money_n forbear_v except_v only_o in_o point_v the_o number_n for_o the_o root_n extraction_n the_o first_o decimal_n be_v all_o mix_a number_n and_o those_o of_o discount_n be_v every_o one_o proper_a fraction_n have_v only_o a_o point_n prefix_v for_o the_o radius_fw-la or_o integer_fw-la therefore_o in_o these_o make_v the_o first_o point_n under_o the_o second_o figure_n on_o the_o left_a hand_n as_o for_o example_n 943396_o be_v the_o decimal_n for_o the_o year_n rebate_v of_o 1_o l_o put_v the_o first_o point_n under_o the_o figure_n of_o 4_o and_o so_o in_o order_n to_o the_o right_a hand_n the_o root_n thus_o extract_v will_v be_v .971286_o in_o 6_o place_n for_o the_o discount_n of_o 1_o l_o 6_o month_n as_o 6_o l_o percent_n the_o square_a root_n of_o that_o again_o will_v be_v .985538_o for_o 3_o month_n and_o thus_o proceed_v with_o mean_a proportional_n until_o the_o place_n be_v all_o complete_a between_o the_o radius_fw-la and_o the_o decimal_n last_o find_v as_o for_o half_a yearly_a and_o quarterly_a payment_n they_o be_v discover_v as_o be_v those_o before_o in_o the_o forbearance_n of_o money_n to_o which_o i_o refer_v you_o and_o lib._n 2._o paragr_n 6._o proposition_n 1._o and_o 4._o observe_v the_o 2_o table_n for_o out_o of_o these_o ground_n the_o other_o 3_o be_v frame_v and_o erect_v as_o follow_v the_o invention_n of_o decimall_n fraction_n or_o proportional_a number_n for_o the_o three_o table_n here_o be_v two_o table_n forbearance_n of_o money_n at_o 6_o l_o per_fw-la cen_n 1_o forbearance_n of_o rent_n at_o 6_o l_o per_fw-la cen_n 2_o 1_o 1._o 060000_o 1_o 1.000000_o 2_o 1._o 123600_o 2_o 2.060000_o 3_o 1._o 191016_o 3_o 3.183600_o 4_o 1.262477_o 4_o 4.374616_o 5_o 1.338226_o 5_o 5.637093_o 6_o 1.418519_o 6_o 6.975318_o 7_o 1.503630_o 7_o 8.393837_o inscribe_v for_o 7_o year_n whereof_o the_o one_o be_v the_o transcription_n of_o the_o first_o breviate_v out_o of_o which_o the_o three_o table_n be_v compose_v &_o thus_o a_o annuity_n rent_n or_o pension_n of_o 1_o l_o per_n ann_n be_v but_o so_o much_o money_n due_a at_o the_o term_n of_o a_o year_n therefore_o on_o the_o head_n of_o the_o table_n i_o place_v the_o radius_fw-la against_o the_o interest_n and_o principal_n of_o 1_o l_o forbear_v a_o year_n viz._n in_o the_o first_o table_n 1.060000_o in_o the_o second_o 1.000000_o the_o sum_n of_o these_o two_o number_n be_v 2.060000_o the_o rent_n which_o will_v be_v due_a at_o the_o two_o year_n end_n in_o which_o time_n there_o will_v be_v 2_o l_o in_o arrear_n and_o the_o annual_a interest_n of_o 1_o l_o to_o which_o add_v the_o second_o year_n forbearance_n viz._n 1.123600_o the_o sum_n will_v be_v 3.183600_o for_o the_o rend_v 3_o year_n forbear_v and_o thus_o in_o order_n the_o 6_o year_n add_v together_o will_v make_v the_o seven_o as_o 8.393837_o and_o the_o seven_o year_n the_o 8_o viz._n 9.897467_o which_o reduce_v be_v in_o money_n 9_o l_o 17_o ss_z 11_o d_o 1_o ½_n q._n and_o so_o much_o 1_o l_o yearly_a rent_n or_o annuity_n forbear_v 8_o year_n do_v amount_v unto_o at_o 6_o l_o per_n cont_n per_fw-la ann_n annual_a payment_n and_o compound_a interest_n in_o this_o manner_n you_o may_v proceed_v according_a to_o what_o number_n of_o year_n the_o first_o table_n comprehend_v the_o construction_n of_o decimal_a fraction_n or_o proportional_a number_n for_o the_o four_o table_n the_o first_o of_o these_o 2_o discount_n of_o money_n at_o 6_o l_o per_fw-la cen_n 1_o discount_n of_o rent_n at_o 6_o l_o âer_n cent_n 2_o 1_o .943396_o 1_o .943396_o 2_o .889996_o 2_o 1833392_o 3_o .839619_o 3_o 2673012_o 4_o .792093_o 4_o 3465105_o 5_o .747258_o 5_o 4212363_o 6_o .704960_o 6_o 4917323_o 7_o .665057_o 7_o 5582380_o table_n be_v transcribe_v out_o of_o the_o second_o breviate_v from_o whence_o the_o the_o four_o be_v frame_v after_o the_o manner_n of_o the_o last_o for_o 1_o l_o pension_n rent_n or_o annuity_n due_a at_o a_o year_n end_n be_v worth_a but_o so_o much_o upon_o discount_n as_o the_o interest_n rebate_v which_o at_o 6_o l_o per_n cent_n be_v include_v by_o this_o decimal_n 943396._o and_o the_o second_o year_n number_n must_v be_v increase_v by_o the_o annuity_n rent_n or_o pension_n discount_v for_o therefore_o add_v 889996_o unto_o 943396_o the_o sum_n will_v be_v 1833392_o the_o decimal_a fraction_n for_o the_o second_o year_n and_o so_o proceed_v to_o the_o seven_o year_n of_o the_o first_o table_n by_o add_v that_o number_n 665057_o unto_o 4917323_o the_o six_o year_n discount_n in_o this_o second_o table_n the_o sum_n will_v be_v 5582380._o the_o decimal_n for_o 7_o year_n rebate_v of_o rent_n at_o 6_o l_o per_n cent_n and_o in_o this_o manner_n continue_v on_o the_o table_n to_o what_o number_n of_o year_n you_o please_v here_o 1_o l_o annuity_n discount_v for_o 7_o year_n be_v worth_a in_o ready_a money_n 5_o l_o 11_o ss_z 7_o d_o 3_o q._n compound_v interest_n rebate_v how_o to_o find_v the_o decimal_a fraction_n or_o proportional_a number_n for_o the_o five_o table_n rule_v 1_o as_o the_o decimal_n for_o 2_o year_n rend_v rebate_v be_v equal_a in_o value_n to_o 1_o l_o annuity_n for_o 2_o year_n so_o be_v 1_o l_o of_o annual_a annuity_n the_o same_o term_n of_o time_n in_o proportion_n to_o the_o decimal_n purchase_v by_o 1_o l_o or_o as_o 1.833392_o to_o 1_o l_o so_o 1.000000_o unto_o .54544_o or_o thus_o as_o 1_o l_o 16_o purchase_n sh_z 8_o d_o be_v to_o annuity_n 1_o l_o so_fw-mi will_v 1_o purchase_n l_o be_v to_o 10_o sh_z annuity_n 10_o 9_o 10_o d._n a_o illustration_n the_o annuity_n rent_n or_o pension_n which_o 1_o l_o will_v purchase_v for_o a_o year_n lie_v involve_v in_o the_o decimal_n of_o 1.060000_o according_a to_o the_o first_o table_n there_o be_v only_o one_o year_n forbearance_n of_o 1_o l_o then_o for_o the_o second_o year_n take_v the_o decimal_n fraction_n of_o 1_o l_o rend_v discount_v for_o the_o term_n of_o 2_o year_n which_o be_v 1.833392_o in_o money_n 1_o l_o 16_o sh_n 8_o d._n and_o it_o be_v evident_a how_o this_o sum_n be_v equal_a unto_o 1_o l_o annuity_n purchase_v for_o 2_o year_n and_o consequent_o the_o proportion_n will_v be_v as_o in_o the_o rule_n before_o if_o 1_n l_o 16_o sh_n 8_o do_v or_o 1.833392_o the_o decimal_n for_o two_o year_n rend_v rebate_v be_v equal_a to_o 1_o
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 ¾_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 ¼_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 ½_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 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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
find_v 9_o ss_z 9_o d_o very_o near_o so_o a_o must_v be_v responsable_a to_o b_o or_o their_o heir_n at_o 9_o year_n end_n for_o 237_o l_o 9_o ss_z 8_o d_o 3_o â_o 10_o q._n this_o exactness_n be_v not_o require_v nor_o yet_o so_o great_a a_o number_n take_v for_o the_o fraction_n of_o 13_o sh_z 4_o d._n but_o these_o if_o understand_v the_o ingenuous_a will_v ease_v themselves_o by_o my_o labour_n to_o which_o end_n i_o will_v proceed_v question_n xi_o a_o be_v to_o pay_v unto_o b_o 200_o l_o at_o the_o full_a term_n of_o 5_o year_n for_o which_o debt_n a_o be_v content_v to_o make_v b_o a_o lease_n of_o a_o farm_n to_o continue_v in_o force_n the_o same_o time_n who_o annual_a rent_n be_v 35_o l._n which_o of_o they_o gain_v by_o this_o contract_n interest_n allow_v at_o 6_o l_o per_n cent_n per_fw-la annum_fw-la in_o the_o table_n of_o rent_n forbear_v under_o year_n look_v 5_o the_o decimal_a number_n against_o it_o be_v 5.63709_o which_o multiply_v by_o 35_o l_o the_o rent_n respite_v the_o term_n of_o 5_o year_n the_o product_n will_v be_v 197.29815_o and_o reduce_v into_o money_n be_v 197_o l_o 5_o sh_z 11_o ½_n d._n which_o subtract_v from_o 200_o l_o the_o remainder_n be_v 2_o l_o 14_o sh_n 0_o ½_n d._n and_o so_o much_o a_o do_v gain_v by_o the_o bargain_n or_o contract_v make_v with_o b._n the_o four_o table_n exemplify_v in_o discount_n of_o annuity_n rent_n pension_n or_o reversion_n at_o 6_o l_o per_n cent_n per_fw-la ann_n compound_v interest_n question_v xii_o what_o be_v the_o present_a worth_n of_o 80_o l_o rent_n or_o annuity_n to_o continue_v 25_o year_n rebate_n at_o 6_o l_o per_fw-la centum_fw-la per_fw-la annum_fw-la look_v in_o the_o four_o table_n for_o 25_o year_n against_o which_o i_o find_v 12.78335_o this_o compound_a decimal_n multiply_v by_o 80_o l_o the_o annuity_n propound_v the_o product_n prove_v 1022.66800_o which_o reduce_v into_o money_n will_v be_v 1022_o l_o 13_o sh_z 4_o ¼_n d_o the_o true_a value_n of_o 80_o l_o 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exam_n 5._o the_o product_n in_o the_o a_o row_n will_v be_v 51.97650_o in_o money_n 51_o l_o 19_o sh_n 6_o d._n and_o so_o much_o the_o old_a lease_n in_o be_v be_v worth_a when_o the_o new_a for_o 21_o year_n enter_v possession_n now_o admit_v the_o term_n of_o the_o old_a lease_n and_o the_o new_a add_v together_o the_o sum_n of_o year_n be_v 25_o the_o profit_n or_o overplus_n of_o rent_n be_v to_o continue_v all_o the_o time_n therefore_o 1278335_o the_o decimal_n for_o 25_o year_n multiply_v by_o 15_o l_o as_o in_o the_o five_o row_n of_o this_o table_n produce_v in_o the_o 6.119.75025_o equal_a in_o value_n to_o 191_o l_o 15_o ss_z the_o difference_n of_o the_o first_o lease_n and_o the_o total_a time_n in_o the_o 8_o row_n be_v 139_o l_o 15_o ss_z 6_o d._n and_o so_o the_o difference_n of_o decimal_n in_o 4_o row_n reduce_v be_v very_o near_o without_o a_o material_a error_n be_v 139_o l_o 15_o ss_z 5_o 7_o 10_o d._n question_n fourteen_o a_o tenant_n have_v a_o lease_n of_o 21_o year_n the_o present_a thereof_o be_v 41_o l_o per_n ann_n during_o the_o term_n of_o 7_o year_n and_o after_o that_o time_n shall_v be_v expire_v the_o lessee_n be_v to_o pay_v 50_o l_o rent_n per_n ann_n for_o the_o residue_n of_o the_o term_n what_o be_v the_o value_n of_o this_o lease_n in_o ready_a money_n interest_n discount_v at_o 6_o l_o per_n cent_n per_fw-la annum_fw-la  _fw-fr for_o 21_o year_n  _fw-fr for_o 7_o year_n 1_o 11.76407_o 5_o 5.58238_o  _fw-fr 5_o  _fw-fr 9_o 2_o 588.20350_o 6_o 50.24142_o 3_o 588_o l_o 4_o ss_z 0_o ¼_n d_o 7_o 50_o l_o 4_o sh_z 10_o d_o 4_o 537_o l_o 19_o ss_z 2_o ¾_n d_o 8_o 537.96208_o in_o the_o four_o table_n of_o rent_n rebate_v the_o decimal_n of_o 21_o year_n be_v 11.76407_o which_o multiply_v by_o 50_o l_o the_o rent_n of_o 21_o year_n the_o product_n be_v 588.20350_o as_o in_o the_o second_o row_n of_o this_o table_n which_o reduce_v be_v 588_o l_o 4_o ss_z 0_o 2_o 4_o d_o as_o in_o the_o three_o row_n which_o have_v be_v the_o 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difference_n of_o rent_n for_o 21_o year_n be_v as_o in_o the_o 2_o 3_o and_z 4_o row_n in_o all_o 235_o l_o 5_o sh_z 7_o ½_n d._n this_o add_v unto_o the_o former_a fine_a 100_o l_o make_v in_o all_o 335_o l_o 5_o sh_z 7_o ½_n d_o the_o true_a sum_n to_o be_v pay_v for_o a_o fine_a in_o lieu_n of_o 20_o l_o rent_n per_fw-la ann_n abate_v during_o the_o lease_n of_o 21_o year_n the_o thing_n require_v question_v xvi_o a_o have_v a_o lease_n of_o 130_o l_o per_n ann_n to_o continue_v 24_o year_n b_o have_v another_o of_o 210_o l_o per_n ann_n and_o 11_o year_n to_o come_v these_o 2_o man_n mutual_o exchange_v lease_n a_o upon_o the_o contract_n pay_v unto_o b_o 20_o l_o in_o ready_a money_n which_o of_o these_o have_v the_o better_a bargain_n and_o how_o much_o at_fw-fr  _fw-fr b_o 12.55036_o  _fw-fr 788687_o 3765108_o 1_o 1577374_o 1631.54680_o 2_o 1656.24270_o 1631_o l_o 10_o sh_z 11_o d._n 3_o 1656_o l_o 4_o sh_z 10_o d._n 1651_o l_o 10_o sh_z 11_o d._n 4_o 4_o l_o 13_o sh_z 11_o d._n against_o the_o 24_o year_n of_o the_o four_o table_n look_v and_o you_o will_v find_v the_o decimal_n of_o it_o 1255036_o for_o a._n second_o the_o lease_n of_o b_o 11_o year_n have_v this_o decimal_n 7.88687_o these_o 2_o number_n multiply_v by_o their_o respective_a rent_n as_o in_o the_o first_o row_n of_o this_o table_n according_a to_o lib._n 1._o sect_n 1._o par_fw-fr 4._o exam_n 6_o &_o 7._o or_o by_o the_o vulgar_a way_n in_o the_o second_o
row_n of_o the_o margin_n a_o do_v produce_v 1631.5464_o and_o b_o 1656.2427_o neglect_v the_o cipher_n and_o reduce_v the_o number_n in_o the_o three_o row_n you_o may_v find_v the_o lease_n which_o a_o exchange_v be_v worth_a in_o present_a money_n 1631_o l_o 10_o ss_z 11_o d._n and_o the_o lease_n which_o b_o be_v owner_n of_o be_v 210_o l_o per_n ann_n for_o the_o term_n of_o a_o 11_o year_n prove_v in_o currant_n coin_v the_o sum_n of_o 1656_o l_o 4_o sh_z 10_o d._n and_o a_o mend_v he_o in_o the_o barter_n or_o exchange_v 20_o l_o which_o make_v the_o value_n of_o his_o lease_n as_o in_o the_o four_o row_n 1651_o l_o 10_o sh_z 11_o d._n which_o still_o be_v less_o worth_n by_o 4_o l_o 13_o sh_z 11_o d_o as_o in_o the_o four_o row_n by_o subtraction_n be_v evident_a and_o that_o b_o lose_v so_o much_o money_n by_o the_o bargain_n the_o five_o table_n do_v demonstrate_v in_o its_o use_n the_o purchase_n of_o annuity_n rent_n pension_n or_o reversion_n at_o 6_o l_o per_fw-la centum_fw-la per_fw-la annum_fw-la compound_v interest_n question_n xvii_o what_o annuity_n rent_n or_o pension_n will_v 250_o l_o in_o ready_a money_n purchase_v for_o a_o lease_n of_o 7_o year_n interest_n allow_v at_o 6_o l_o per_n cent_n per_fw-la ann_n seek_v the_o seven_o year_n in_o the_o five_o table_n which_o be_v the_o term_n of_o year_n that_o the_o lease_n continue_v who_o decimal_a number_n be_v .17914_o and_o if_o multiple_v by_o 250_o l_o the_o product_n will_v be_v 44.78500_o and_o reduce_v be_v in_o money_n 44_o l_o 15_o sh_z 8_o ¼_n d._n and_o this_o annuity_n or_o rent_n to_o continue_v the_o full_a term_n of_o seven_o year_n which_o the_o former_a sum_n of_o money_n will_v purchase_v as_o a_o yearly_a revenue_n during_o that_o time_n question_n xviii_o there_o be_v a_o man_n who_o purchase_v a_o lease_n to_o continue_v 25_o year_n at_o 10_o l_o per_n ann_n for_o which_o the_o lessee_n pay_v a_o fine_a of_o 150_o l._n how_o much_o be_v the_o annual_a rent_n of_o this_o lease_n value_v at_o when_o interest_n be_v rate_v at_o 6_o l_o per_n cent_n per_fw-la annum_fw-la this_o differ_v little_a from_o  _fw-fr decimal_n 1_o 07823_o  _fw-fr 39115_o 2_o 11.73450_o 3_o 11_o l_o 14_o ss_z 8_o d_o the_o last_o for_o here_o you_o be_v to_o find_v what_o annuity_n or_o rent_n 150_o l_o in_o ready_a money_n will_v purchase_v for_o the_o term_n as_o in_o the_o five_o table_n against_o 25_o year_n stand_v this_o decimal_n 07823._o which_o multiply_v by_o 15_o as_o in_o the_o margin_n in_o the_o first_o row_n of_o number_n who_o product_n in_o the_o second_o row_n with_o the_o cipher_n annex_v be_v 11.73450_o that_o reduce_v be_v in_o money_n 11_o l_o 14_o ss_z 8_o d_o the_o farthing_n neglect_v as_o not_o material_a and_o this_o annual_a annuity_n 150_o l_o will_n purchase_n for_o 25_o year_n therefore_o add_v this_o unto_o the_o rent_n pay_v viz._n 10_o l_o per_n ann_n the_o total_a be_v 21_o l_o 14_o ss_z 8_o d._n the_o question_n answer_v question_v xix_o there_o be_v a_o lease_n of_o 25_o year_n to_o come_v set_v at_o 10_o l_o rent_n per_n ann_n and_o the_o fine_a demand_v be_v 150_o l._n the_o tenant_n be_v willing_a to_o give_v 100_o l_o and_o a_o proportional_a annual_a revenue_n during_o the_o whole_a term_n what_o will_v be_v the_o rent_n require_v the_o loan_n for_o money_n allow_v at_o 6_o l_o per_fw-la centum_fw-la per_fw-la annum_fw-la this_o do_v not_o vary_v essential_o  _fw-fr decimal_n 1_o 07823_o  _fw-fr 5_o 2_o 3.91150_o 3_o 3_o l_o 18_o ss_z 2_o ¾_n d_o from_o the_o former_a for_o the_o fine_a be_v diminish_v the_o annual_a rent_n must_v be_v increase_v take_v the_o difference_n betwixt_o the_o two_o fine_n viz._n 100_o l_o and_o 150_o l_o as_o 50_o l_o the_o decimal_n for_o the_o term_n of_o year_n 25_o be_v .07823_o which_o multiply_v by_o 50_o or_o by_o 5_o as_o in_o the_o first_o table_n of_o the_o margin_n the_o product_n in_o the_o second_o be_v 3._o 91150._o which_o reduce_v in_o the_o three_o row_n be_v 3_o l_o 18_o sh_n 2_o ¾_n d._n the_o rent_n which_o 50_o l_o will_n purchase_n for_o 25_o year_n which_o add_v to_o the_o former_a annuity_n of_o 10_o l_o per_n ann_n make_v the_o whole_a rent_n 13_o l_o 18_o sh_n 2_o ¾_n d_o according_a to_o demand_v question_n xx._n a_o citizen_n give_v over_o his_o trade_n unto_o a_o faithful_a servant_n leave_v he_o his_o shop_n ready_o furnish_v the_o ware_n prize_v at_o 1408_o l_o the_o lease_n of_o his_o house_n value_v at_o 250_o l_o so_o in_o all_o 1638_o l_o which_o the_o master_n be_v to_o receive_v by_o equal_a and_o annual_a payment_n in_o the_o space_n of_o 7_o year_n the_o interest_n agree_v upon_o at_o 6_o l_o per_fw-la centum_fw-la per_fw-la annum_fw-la what_o annuity_n will_v discharge_v this_o debt_n to_o discover_v this_o annual_a rent_n look_v in_o the_o first_o table_n for_o the_o term_n of_o year_n specify_v and_o against_o 7_o you_o will_v find_v .17914_o this_o multiply_v by_o 1658_o l_o produce_v 297.01412_o the_o decimalâ_n reduce_v will_v prove_v in_o money_n 297_o l_o o_o ss_z 3_o ¼_n d._n which_o annuity_n or_o rent_n for_o 7_o year_n annual_a payment_n discharge_v the_o whole_a debt_n with_o interest_n at_o 6_o l_o per_fw-la centum_fw-la question_n xxi_o a_o tenant_n take_v a_o lease_n of_o a_o house_n and_o land_n for_o a_o term_n of_o 21_o year_n pay_v 160_o l_o fine_n and_o 16_o l_o rent_n per_fw-la ann_n at_o 7_o year_n end_n the_o lessee_n be_v resolve_v to_o put_v it_o off_o what_o annual_a rent_n or_o annuity_n must_v he_o set_v the_o tenement_n at_o to_o withdraw_v his_o former_a fine_a or_o reserve_v the_o same_o rent_n impose_v another_o proportional_a for_o the_o year_n to_o come_v interest_n at_o the_o rate_n of_o 6_o l_o per_n cent_n per_fw-la ann_n  _fw-fr rent_n  _fw-fr fine_a 1_o .08500_o 5_o 9_o 2949â_n 51000_o 13.6_o 2_o 13.60000_o 6_o 5576988_o  _fw-fr  _fw-fr 2788494_o 3_o 13_o l_o 12_o ss_z 929498_o 4_o 29_o l_o 12_o ss_z 7_o 126.411728_o first_o to_o impose_v a_o proportional_a rent_n find_v by_o the_o first_o table_n of_o annuity_n to_o be_v purchase_v what_o 160_o l_o will_n buy_v for_o the_o full_a term_n of_o 21_o year_n who_o decimal_n be_v .08500_o which_o multiply_v by_o 160_o l_o or_o 16_o as_o in_o the_o first_o row_n of_o this_o marginal_a table_n the_o product_n in_o the_o second_o be_v 13.60000_o in_o the_o three_o be_v reduce_v to_o 13_o l_o 12_o ss_z &_o this_o annual_a pension_n 160_o l_o will_n purchase_n for_o 21_o year_n which_o add_v to_o 16_o l_o per_n ann_n the_o rent_n of_o the_o tenement_n do_v evident_o show_v the_o nature_n of_o the_o lease_n as_o in_o the_o four_o row_n 29_o l_o 12_o sh_z and_o set_v of_o it_o at_o that_o rate_n the_o remain_a year_n the_o tenant_n save_v himself_o to_o discover_v what_o fine_a must_v be_v impose_v the_o old_a rent_n reserve_v and_o yet_o a_o proportional_a part_n for_o the_o first_o fine_a the_o term_n of_o year_n remain_v be_v 14_o who_o decimal_n in_o the_o four_o table_n of_o discount_n be_v 9.29498_o which_o multiply_v by_o the_o decimal_n of_o 13_o l_o 12_o sh_n last_o find_v viz._n 13.6_o as_o in_o the_o five_o row_n in_o the_o sâxth_o stand_v their_o several_a product_n and_o in_o the_o seven_o row_v the_o total_a sum_n as_o 1â6_n 411728_o from_o whence_o strike_v off_o 6_o place_n which_o be_v fraction_n according_a to_o the_o rule_n of_o multiplication_n in_o decimal_n and_o reduce_v the_o test_n the_o fine_a will_v be_v discover_v 126_o l_o 8_o sh_z 2_o ¾_n d_o which_o save_v the_o tenant_n harmless_a the_o old_a rent_n still_o reserve_v without_o gain_n or_o loss_n the_o thing_n require_v as_o for_o the_o decimal_n of_o 12_o sh_n find_v the_o fraction_n or_o see_v lib._n 3._o caâ_n 7._o table_n 1._o rule_v i_o have_v here_o deliver_v equal_o balance_v betwixt_o the_o buyer_n and_o seller_n debtor_n and_o creditor_n whereby_o neither_o side_n may_v deceive_v none_o yet_o be_v deceive_v by_o fallacious_a or_o ambiguous_a contract_n as_o for_o interest_n money_n here_o be_v compose_v rule_v both_o according_a to_o custom_n prescription_n of_o art_n and_o the_o precept_n of_o humane_a institution_n which_o tolerate_v usury_n confine_v to_o a_o loan_n of_o 6_o l_o per_fw-la centum_fw-la per_fw-la annum_fw-la i_o cordial_o wish_v the_o frugality_n of_o the_o people_n will_v lessen_v the_o trade_n of_o money_n and_o sink_v the_o impost_n to_o a_o land_n rate_n yet_o there_o will_v be_v many_o money-cormârants_a and_o their_o proâit_n great_a because_o such_o estate_n lie_v dormant_a in_o bank_n obscure_v from_o the_o inquisition_n of_o a_o sax_n and_o rare_o appea_n oâ_n wake_v but_o
s._n for_o 1_o cask_n take_v content_a in_o part_n in_o truck_v for_o sugar_n 09_o 03_o  _fw-fr â
_n cash_n debit_fw-la to_o dito_n edward_n 3_o l_o 9_o s._n receive_v in_o full_a satisfaction_n to_o clear_v the_o say_a truck_n 3_o 9_o  _fw-fr  _fw-fr jan._n 29._o 1658._o money_n borrow_v at_o interest_n  _fw-fr  _fw-fr  _fw-fr â
_n cash_n debtor_n to_o john_n malthorse_n 300_o l_o receive_v of_o he_o upon_o interest_n 300_o  _fw-fr  _fw-fr 6_o 6_o interest_n reckon_v our_o profit_n and_o loss_n debtor_n to_o dito_n john_n 4_o l_o 10_o s_o for_o 3_o month_n allowance_n for_o 300_o l_o at_o 6_o per_fw-la cent_n 4_o 10_o  _fw-fr anno_fw-la 1658._o 30_o jan._n in_o london_n  _fw-fr  _fw-fr l_o s_o d_o  _fw-fr money_n borrow_v to_o be_v pay_v upon_o demand_n or_o otherwise_o  _fw-fr  _fw-fr  _fw-fr â
_n cash_n debtor_n to_o simeon_n peter_n 50_o l_o borrow_v of_o he_o and_o payable_a on_o demand_n 50_o  _fw-fr  _fw-fr  _fw-fr money_n let_v out_o at_o interest_n  _fw-fr  _fw-fr  _fw-fr 5_o 1_o edward_n price_n debtor_n to_o cash_n 100_o l._n deliver_v he_o at_o interest_n 100_o  _fw-fr  _fw-fr â
_n dito_n edward_n debtor_n to_o interest_n reckon_v or_o profit_n and_o loss_n 1_o l_o 10_o s_o for_o 3_o month_n allowance_n for_o a_o 100_o l_o at_o 6_o per_fw-la cent_n per_fw-la ann_n 1_o 10_o  _fw-fr  _fw-fr housekeep_n charge_v enter_v  _fw-fr  _fw-fr  _fw-fr 6_o 1_o profit_n and_o loss_n debtor_n to_o cash_n 50_o l_o pay_v my_o servant_n for_o 3_o month_n provision_n for_o housekeep_v to_o end_v 25_o march_n next_o 50_o  _fw-fr  _fw-fr  _fw-fr febr._n 2._o 1658._o money_n pay_v that_o be_v due_a the_o time_n of_o payment_n be_v comâ_n  _fw-fr  _fw-fr  _fw-fr 4_o 1_o jane_n de_fw-fr clare_n debtor_n to_o cash_n 60_o l._n pay_v he_o in_o full_a of_o all_o account_n 60_o  _fw-fr  _fw-fr 5_o 1_o jam._n wilson_n debtor_n to_o cash_n 36_o l_o 4_o s_o 11_o d._n pay_v in_o full_a for_o his_o sugar_n as_o by_o his_o acquittance_n appear_v 36_o 4_o 11_o  _fw-fr febr._n 9_o 1658._o money_n receive_v that_o be_v due_a time_n of_o payment_n bâing_v come_v  _fw-fr  _fw-fr  _fw-fr ¼_n cash_n debtor_n to_o john_n tâurrowgood_n 39_o l_o 10_o s._n receive_v in_o full_a of_o all_o demand_n to_o this_o day_n 39_o 10_o  _fw-fr  _fw-fr money_n receive_v for_o good_n sell_v at_o time_n before_o due_a upon_o rebate_v  _fw-fr  _fw-fr  _fw-fr ¼_n cash_n debtor_n to_o john_n benning_n 24_o l._n receive_v in_o full_a 24_o  _fw-fr  _fw-fr 6_o 4_o profit_n and_o loss_n debtor_n to_o dito_n john_n 1_o l_o 17_o s_o 6_o d_o for_o payment_n before_o due_a 1_o 17_o 6_o anno_fw-la 1658._o 12_o febr._n in_o london_n  _fw-fr  _fw-fr l_o s_o d_o  _fw-fr money_n gain_v by_o exchange_n  _fw-fr  _fw-fr  _fw-fr â
_n cash_n debtor_n to_o profit_n and_o loss_n 58_o s_o 4_o d_o for_o advance_v of_o 100_o dollar_n exchange_v for_o english_a money_n at_o 4_o s_z 7_o d_o per_fw-mi piece_n which_o cost_v i_o but_o 4_o s._n the_o difference_n at_o 7_o d_o per_fw-la piece_n be_v 2_o 18_o â_o 4_o  _fw-fr to_o discharge_v a_o debt_n by_o assignment_n  _fw-fr  _fw-fr  _fw-fr 4_o 3_o thomas_n spilman_n debtor_n to_o william_n lane_n for_o my_o assignment_n poid_a hâm_n in_o full_a of_o his_o debt_n 36_o 11_o â_o 4_o  _fw-fr debt_n sell_v to_o another_o from_o who_o it_o be_v not_o due_a  _fw-fr  _fw-fr  _fw-fr â
_n cash_n debtor_n to_o thomas_n goodman_n 50_o l_o receive_v of_o william_n short_a for_o dito_n thomas_n his_o bill_n of_o 82_o l_o 3_o s_o 4_o d._n which_o i_o have_v sell_v for_o 50_o  _fw-fr  _fw-fr 6_o 3_o profit_n and_o loss_n debtor_n to_o dito_n thomas_n 32_o l_o 3_o s_z 4_o d_o lose_v by_o the_o sale_n of_o his_o bill_n 32_o â_o 3_o â_o 4_o  _fw-fr febr._n 19_o 1659._o part_v of_o a_o debt_n lose_v by_o a_o bankrupt_a and_o the_o rest_n receive_v  _fw-fr  _fw-fr  _fw-fr â
_n cash_n debtor_n to_o abraham_n bland_n 259_o l_o 7_o s_z 4_o d_o be_v but_o â
_n receive_v in_o full_a of_o a_o debt_n of_o 387_o l_o 11_o s_o â
_n 258_o â_o 7_o â_o 8_o 6_o 3_o profit_n and_o loss_n debtor_n to_o dito_n abraham_n 129_o l_o 3_o s_o 8_o d._n lose_v by_o he_o when_o he_o fail_v â_o 129_o â_o 3_o  _fw-fr  _fw-fr merchandize_v send_v into_o another_o country_n consign_v to_o a_o factor_n for_o my_o account_n  _fw-fr  _fw-fr  _fw-fr 7_o 2_o voyage_n to_o amsterdam_n consign_v to_o hans_n butter_n box_n debtor_n to_o fustian_n 80_o l_o for_o 40_o piece_n at_o 40_o s_o per_fw-la piece_n ship_v by_o james_n hope_v to_o dito_n hans_n to_o be_v sell_v for_o my_o account_n 80_o  _fw-fr  _fw-fr 7_o 2_o dito_n voyage_n consign_v to_o dito_n hans_n debtor_n to_o spanish_a tobaco_n 440_o l_o for_o so_o potâen's_n wâd_a net_n 880_o l_o at_o 10_o s_o per_fw-la pound_n ship_v by_o dito_n james_n to_o the_o say_v hans_n to_o be_v sell_v for_o my_o account_n â_o 440_o  _fw-fr  _fw-fr anno_fw-la 1658._o 19_o feb._n in_o london_n  _fw-fr  _fw-fr l_o s_o d_o  _fw-fr charge_n for_o a_o voyage_n or_o otherwise_o  _fw-fr  _fw-fr  _fw-fr 7_o 1_o dito_n voyage_n debtor_n to_o cash_n 9_o l_o 16_o s_o for_o charge_n upon_o the_o fustian_n and_o tobaco_n for_o freight_v custom_n and_o excise_n etc._n etc._n 9_o 16_o  _fw-fr  _fw-fr good_n insure_v  _fw-fr  _fw-fr  _fw-fr 7_o 1_o dito_n voyage_n debtor_n to_o cash_n 7_o l_o 16_o s_o for_o insurance_n of_o dito_n fustian_n and_o tobacco_n pay_v john_n mazoone_o at_o 30_o s_o per_fw-la cent_n be_v 7_o 16_o  _fw-fr  _fw-fr feb._n 22._o 1658._o money_o receive_v for_o freight_n of_o a_o ship_n part_n  _fw-fr  _fw-fr  _fw-fr â
_n cash_n debtor_n to_o ship_n the_o samson_n of_o london_n for_o freight_v receive_v of_o john_n wright_n master_n thereof_o for_o my_o ½_n share_v 35_o 3_o 8_o  _fw-fr money_n or_o good_n give_v away_o to_o any_o person_n  _fw-fr  _fw-fr  _fw-fr 7_o 2_o profit_n and_o loss_n debtor_n to_o fustian_n 1_o l_o 2_o s_z 8_o d_o for_o one_o piece_n give_v to_o a.b._n  _fw-fr  _fw-fr  _fw-fr 6_o 1_o profit_n and_o loss_n debtor_n to_o cash_n 12_o l_o give_v towards_o the_o relief_n of_o a_o fire_n at_o enfield_n in_o the_o county_n of_o middlesex_n 1_o 2_o 8_o  _fw-fr gratuity_n receive_v  _fw-fr  _fw-fr  _fw-fr â
_n cash_n debtor_n to_o profit_n and_o loss_n for_o 200_o l_o receive_v for_o a_o legacy_n give_v mâ_n by_o a._n m._n 12_o  _fw-fr  _fw-fr  _fw-fr febr._n 28._o 1658._o commodity_n former_o ship_v to_o another_o country_n and_o advice_n of_o the_o sale_n thereof_o  _fw-fr  _fw-fr  _fw-fr 7_o 7_o hans_n butterbox_n at_o amsterdam_n my_o account_n currant_n debtor_n to_o voyage_n to_o amsterdam_n 613_o l_o 15_o s_o 4_o d._n as_o appearâ_n by_o his_o account_n send_v i_o and_o date_v at_o amsterdam_n novemb_n 25._o instant_a be_v the_o neat_a proceed_v of_o my_o good_n solâ_n there_o 613_o 15_o 4_o anno_fw-la 1658._o 28_o febr._n in_o london_n  _fw-fr  _fw-fr l_o s_o d_o  _fw-fr commodity_n receive_v to_o sell_v for_o another_o man_n account_n in_o commission_n  _fw-fr  _fw-fr  _fw-fr 7_o 1_o hans_n butterbox_n at_o amsterdam_n his_o account_n of_o wheat_n debtor_n to_o cash_n 18_o l_o 5_o s_o for_o several_a charge_n pay_v at_o the_o receipt_n of_o 100_o quarter_n receive_v out_o of_o the_o elephant_n of_o amsterdam_n as_o follow_v  _fw-fr l_o s_o d_o for_a freight_v at_o 1_o s_o per_fw-la qu._n 05_o 00_o 00_o for_o custom_n at_o 1_o s_z 6_o d_o per_fw-la q._n 07_o 10_o 00_o for_o excise_n at_o 6_o d_o per_fw-la qu._n 02_o 10_o 00_o for_o porterage_n literage_n and_o cartage_n at_o 6_o d_o per_fw-la qu._n 02_o 10_o 00_o for_o meater_n allowance_n 00_o 15_o 00_o  _fw-fr 18_o 05_o 00_o 18_o 5_o  _fw-fr  _fw-fr commission_n good_n sell_v  _fw-fr  _fw-fr  _fw-fr 1_o 7_o cash_n debtor_n to_o hans_n butterbox_n his_o account_n of_o wheat_n for_o 100_o quarter_n soâd_v to_o john_n sutton_n junior_n at_o 58_o s_o per_fw-la qu._n be_v 290_o  _fw-fr  _fw-fr  _fw-fr provision_n for_o commodity_n sell_v  _fw-fr  _fw-fr  _fw-fr  _fw-fr 7_o 6_o hans_n butterbox_n his_o account_n of_o wheat_n debtor_n to_o profit_n and_o loss_n for_o my_o provision_n for_o the_o say_a wheat_n at_o 12_o d_o per_fw-la l._n 14_o 10_o  _fw-fr  _fw-fr march_n 3._o 1658._o the_o proceed_v of_o commodity_n pay_v by_o bill_n of_o exchange_n  _fw-fr  _fw-fr  _fw-fr 8_o â_o hans_fw-ge butterbox_n his_o account_n currant_n debtor_n to_o cash_n 257_o l_o 5_o s._n remit_v he_o for_o his_o account_n in_o bill_n of_o stephen_n swabber_n payable_a at_o sight_n to_o dito_fw-la hans_n by_o simon_n newman_n of_o amsterdam_n be_v the_o neat_a proceed_v of_o his_o wheat_n all_o charge_n deduct_v 257_o 5_o  _fw-fr anno_fw-la 1658._o 24._o march_v in_o london_n