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table_n be_v this_o in_o the_o uppermost_a line_n or_o collume_n you_o have_v express_v all_o the_o digit_n from_o 1_o to_o 9_o and_o likewise_o begin_v at_o 1_o and_o go_v downward_o in_o the_o side-colume_a you_o have_v the_o same_o so_o that_o if_o you_o will_v know_v the_o product_n of_o any_o two_o single_a number_n multiply_v by_o one_o another_o look_v for_o one_o of_o they_o which_o you_o please_v in_o the_o uppermost_a collume_n and_o for_o the_o other_o in_o the_o side_n collume_n and_o run_v your_o eye_n from_o each_o figure_n along_o the_o respective_a collume_n in_o the_o common_a angle_n or_o place_n where_o these_o two_o collume_n meet_v there_o be_v the_o product_v require_v as_o for_o example_n i_o will_v know_v how_o much_o be_v 8_o time_n 7_o first_o i_o look_v for_o 8_o in_o the_o uppermost_a collume_n and_o 7_o in_o the_o side_n collume_n then_o do_v i_o cast_v my_o eye_n from_o 8_o along_o the_o collume_n downward_o from_o the_o same_o and_o likewise_o from_o 7_o in_o the_o side_n collume_n i_o cast_v my_o eye_n from_o thence_o towards_o the_o right_a hand_n and_o find_v it_o to_o meet_v with_o the_o first_o collume_n at_o 56_o so_o that_o i_o conclude_v 56_o to_o be_v the_o product_v require_v it_o will_v have_v be_v the_o same_o if_o you_o have_v look_v for_o 7_o in_o the_o top_n and_o 8_o on_o the_o side_n the_o like_a be_v to_o be_v understand_v of_o any_o other_o such_o number_n the_o learner_n be_v perfect_a herein_o it_o will_v be_v necessary_a to_o proceed_v 5._o in_o compound_v multiplication_n if_o the_o multiplicand_n consist_v of_o many_o place_n and_o the_o multipliar_a of_o but_o one_o figure_n first_o set_v down_o the_o multiplicand_a and_o under_o it_o place_v the_o multipliar_a in_o the_o place_n of_o unite_v and_o draw_v a_o line_n underneath_o they_o then_o begin_v and_o multiply_v the_o multipliar_a into_o every_o particular_a figure_n of_o the_o multiplicand_a begin_n at_o the_o place_n of_o unit_n and_o so_o proceed_v 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7_o be_v 42_o and_o 4_o that_o i_o carry_v be_v 46_o i_o then_o set_v down_o 6_o and_o carry_v 4_o and_o go_v on_o say_v 6_o time_n 4_o be_v 24_o and_o 4_o that_o i_o carry_v be_v 28_o and_o because_o it_o be_v the_o last_o figure_n i_o set_v it_o all_o down_o and_o so_o the_o work_n be_v finish_v and_o the_o product_n be_v find_v to_o be_v 2868_o as_o be_v require_v 6._o when_o in_o compound_v multiplication_n the_o multipliar_a consist_v of_o divers_a place_n then_o begin_v with_o the_o figure_n in_o the_o place_n of_o unit_n in_o the_o multipliar_a and_o multiply_v it_o into_o all_o the_o figure_n of_o the_o multiplicand_a place_v the_o product_n below_o the_o line_n as_o be_v direct_v in_o the_o last_o example_n then_o begin_v with_o the_o figure_n in_o the_o second_o place_n of_o the_o multipliar_a viz._n the_o place_n of_o ten_o and_o multiply_v it_o likewise_o into_o the_o whole_a multiplicand_n as_o you_o do_v the_o first_o figure_n place_v its_o product_n under_o the_o 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of_o ten_o in_o the_o second_o line_n etc._n etc._n observe_v this_o order_n till_o you_o have_v finish_v the_o work_n viz._n still_o place_v the_o first_o figure_n of_o every_o line_n or_o product_v under_o the_o second_o figure_n or_o place_n of_o ten_o in_o that_o which_o be_v above_o it_o and_o have_v so_o do_v draw_v a_o line_n under_o all_o these_o particular_a product_n and_o add_v they_o together_o so_o shall_v the_o sum_n of_o all_o these_o product_n be_v the_o total_a product_n require_v as_o if_o it_o be_v require_v to_o multiply_v 764_o by_o 27_o i_o set_v they_o down_o the_o one_o under_o the_o other_o with_o a_o line_n draw_v underneath_o they_o then_o
dividend_n and_o put_v it_o before_o the_o say_a remainder_n 286_o so_o have_v i_o 2865_o for_o a_o new_a dividual_a and_o because_o it_o consist_v of_o four_o place_n viz._n a_o place_n more_o than_o the_o divisor_n i_o seek_v how_o often_o 3_o the_o first_o figure_n of_o the_o divisor_n be_v contain_v in_o 28_o the_o two_o first_o of_o the_o dividual_a and_o i_o say_v there_o be_v 9_o time_n 3_o in_o 28_o but_o multiply_v my_o whole_a divisor_n 385_o thereby_o i_o find_v the_o product_n to_o be_v 3465_o which_o be_v great_a than_o the_o dividual_a 2865_o wherefore_o i_o choose_v eight_o which_o be_v lesser_a by_o a_o unit_fw-la than_o nine_o and_o thereby_o i_o multiply_v my_o divisor_n 385_o and_o the_o product_n be_v 3080_o which_o still_o be_v great_a than_o the_o say_v dividual_a wherefore_o i_o choose_v another_o number_n yet_o a_o unit_fw-la lesser_a viz._n 7_o and_o have_v multiply_v my_o divisor_n thereby_o the_o product_n be_v 2695_o lesser_a than_o the_o dividual_a 2865_o 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or_o into_o 385_o equal_a share_n or_o part_n the_o quotient_a or_o one_o of_o those_o part_n be_v 3074_o and_o beside_o there_o be_v 163_o remain_v and_o thus_o the_o learner_n be_v well_o verse_v in_o the_o method_n of_o the_o forego_n example_n he_o may_v be_v sufficient_o qualify_v for_o the_o divide_n of_o any_o great_a sum_n or_o number_n into_o as_o many_o part_n as_o he_o please_v that_o be_v he_o may_v understand_v the_o method_n of_o divide_v by_o a_o divisor_n consist_v of_o 4_o or_o 5_o or_o 6_o or_o any_o great_a number_n of_o place_n the_o method_n be_v the_o same_o with_o the_o forego_n example_n in_o every_o respect_n other_o example_n of_o division_n so_o if_o you_o divide_v 47386473_o by_o 58736_o you_o will_v find_v the_o quotient_a to_o be_v 806_o and_o 45257_o will_v remain_v after_o the_o work_n be_v end_v in_o like_a manner_n if_o you_o will_v divide_v 3846739204_o by_o 483064_o the_o quotient_n will_v be_v 7963_o and_o the_o remainder_n after_o division_n will_v be_v 100572._o compendium_n in_o division_n 1._o if_o any_o give_a number_n be_v to_o be_v divide_v by_o another_o number_n that_o have_v cipher_n prefix_v on_o the_o right_a side_n thereof_o omit_v the_o cipher_n you_o may_v cut_v off_o so_o many_o figure_n from_o the_o right_a hand_n of_o the_o dividend_n 5.3_o as_o there_o be_v cipher_n before_o the_o divisor_n and_o let_v the_o remain_v number_n in_o the_o dividend_n be_v divide_v by_o the_o remain_v number_n or_o number_n in_o the_o divisor_n observe_v this_o caution_n that_o if_o after_o your_o division_n be_v end_v any_o thing_n remain_v you_o be_v to_o prefix_v the_o number_n or_o number_n that_o be_v cut_v off_o from_o the_o dividend_n before_o the_o number_n remain_v and_o such_o new_a find_v number_n shall_v be_v the_o remainder_n as_o for_o example_n let_v it_o be_v require_v to_o divide_v 46658_o by_o 400_o now_o because_o there_o be_v two_o cypher_n before_o the_o divisor_n i_o cut_v off_o as_o many_o figure_n from_o 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as_o thus_o if_o 45783_o be_v to_o be_v divide_v by_o 10_o i_o cut_v off_o the_o last_o figure_n 3_o with_o a_o dash_n thus_o 45783_o and_o the_o work_n be_v do_v and_o the_o quotient_n be_v 4578_o the_o number_n on_o the_o left_a hand_n of_o the_o dash_n and_o the_o remainder_n be_v 3_o on_o the_o right_a hand_n in_o like_a manner_n if_o the_o same_o number_n 45783_o be_v to_o be_v divide_v by_o 100_o i_o cut_v off_o 2_o figure_n from_o the_o end_n thus_o 45783_o and_o the_o quotient_n be_v 457_o and_o the_o remainder_n 83._o and_o if_o i_o be_v to_o divide_v the_o same_o by_o 1000_o i_o cut_v off_o 3_o figure_n from_o the_o end_n thus_o 45783_o and_o the_o quotient_n be_v 45_o and_o 783_o the_o remainder_n etc._n etc._n 6._o the_o general_a effect_n of_o division_n be_v contain_v in_o the_o definition_n of_o the_o same_o thâ—â—_n be_v by_o have_v two_o unequal_a number_n give_v to_o find_v a_o three_o number_n in_o such_o proportion_n to_o the_o dividend_n as_o the_o divisor_n have_v to_o unite_v or_o 1_o it_o also_o discover_v what_o reason_n or_o proportion_n there_o be_v between_o number_n so_o if_o you_o divide_v 12_o by_o 4_o it_o quote_v 3_o which_o show_v the_o reason_n or_o proportion_n of_o 4_o to_o 12_o be_v triple_a the_o second_o effect_n be_v by_o the_o superficial_a measure_n or_o content_n and_o the_o length_n of_o any_o oblonge_n rectangular_a paralelogram_n or_o square_a plane_n know_v to_o find_v out_o the_o breadth_n thereby_o or_o contrariwise_o by_o have_v the_o superficies_n and_o breadth_n of_o the_o say_a figure_n to_o find_v out_o the_o length_n thereof_o also_o by_o have_v the_o solidity_n and_o length_n of_o a_o solid_a to_o find_v the_o superficies_n of_o the_o base_a &_o contra._n the_o three_o effect_n be_v by_o the_o content_n reason_n price_n value_n buy_v sell_v expense_n wage_n exchange_n interest_n profit_n or_o loss_n of_o any_o thing_n be_v it_o money_n merchandise_n or_o what_o else_o to_o find_v out_o the_o content_n reason_n price_n value_n buy_v sell_v expense_n wage_n exchange_n interest_n profit_n or_o loss_n of_o any_o one_o thing_n of_o like_a kind_n the_o four_o effect_n be_v to_o aid_v to_o compose_v and_o to_o make_v other_o rule_n but_o principal_o the_o rule_n of_o proportion_n call_v the_o golden_a rule_n or_o rule_n of_o three_o and_o the_o reduction_n of_o money_n weight_n and_o measure_n of_o one_o denomination_n into_o another_o by_z â—t_z also_o fraction_n be_v abbreviate_v by_o find_v a_o common_a measurer_n unto_o the_o numerator_n and_o denominator_fw-la thereby_o discover_v commensurable_a number_n if_o you_o divide_v the_o value_n of_o any_o certain_a quantity_n by_o the_o same_o quantity_n the_o quotient_a 〈◊〉_d the_o rate_n or_o value_n of_o â—he_n integer_fw-la as_o 〈◊〉_d eight_o yard_n of_o cloth_n cost_v 96_o shilling_n here_o if_o you_o divide_v 96_o the_o value_n or_o price_n of_o the_o give_v quantity_n by_o 8_o the_o same_o quantity_n the_o quotient_n will_v be_v 12_o s_o which_o be_v the_o value_n or_o price_n of_o 1_o of_o those_o yard_n &_o contra_fw-la if_o you_o divide_v the_o value_n or_o price_n of_o any_o unknown_a quantity_n by_o the_o value_n of_o the_o integer_fw-la it_o give_v you_o in_o the_o quotient_a that_o unknown_a quantity_n who_o price_n be_v thus_o divide_v as_o if_o 12_o shilling_n be_v the_o value_n of_o 1_o yard_n i_o will_v know_v how_o many_o yard_n be_v worth_a 96_o shilling_n here_o if_o you_o divide_v 96_o the_o price_n or_o value_n of_o the_o unknown_a quantity_n by_o 12_o the_o rate_n of_o the_o integer_fw-la or_o one_o yard_n the_o quotient_n will_v be_v 8_o which_o be_v the_o number_n of_o yard_n worth_a 96_o shilling_n some_o question_n answer_v by_o division_n may_v be_v these_o
be_v commensurable_a because_o three_o measure_n they_o both_o chap._n ii_o of_o the_o natural_a division_n of_o integer_n and_o the_o several_a denomination_n of_o their_o part_n 1._o before_o we_o come_v to_o calculation_n or_o the_o order_n of_o number_n to_o operate_v any_o arithmetical_a question_n propose_v we_o will_v lay_v down_o table_n of_o the_o denomination_n of_o several_a integer_n and_o after_o that_o have_v mention_v the_o several_a species_n or_o kind_n of_o arithmetic_n we_o shall_v immediate_o handle_v the_o species_n of_o numeration_n which_o be_v the_o main_a pillar_n upon_o which_o the_o whole_a fabric_n of_o this_o art_n be_v build_v of_o money_n weight_n etc._n etc._n 2._o the_o least_o denomination_n or_o fraction_n of_o money_n use_v in_o england_n be_v a_o farthing_n from_o whence_o be_v produce_v the_o follow_a table_n call_v the_o table_n of_o coin_n viz._n  _fw-fr  _fw-fr  _fw-fr and_o therefore_o 1_o farthing_n make_v 1_o farthing_n l._n s._n d._n qr_n 4_o farthing_n 1_o penny_n 1_o 20_o 12_o 4_o 12_o penny_n 1_o shilling_n 1_o 20_o 240_o 960_o 20_o shilling_n 1_o pound_v  _fw-fr 1_o 12_o 48_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr 1_o 4_o the_o first_o of_o these_o table_n viz._n that_o on_o the_o left_a hand_n be_v plain_a and_o easy_a to_o be_v understand_v and_o therefore_o want_v no_o direction_n in_o the_o second_o table_n above_o the_o line_n you_o have_v 1_o l._n 20_o s._n 12_o d._n 4_o qt_n whereby_o be_v mean_v that_o 1_o pound_n be_v equal_a to_o 20_o shilling_n and_o one_o shilling_n be_v equal_a to_o 12_o penny_n and_o one_o penny_n equal_a to_o 4_o farthing_n under_o the_o line_n be_v 1_o l._n 20_o s._n 240_o d._n 960_o qt_n which_o signify_v one_o pound_n to_o contain_v 20_o shilling_n or_o 240_o penny_n or_o 960_o farthing_n in_o the_o second_o line_n below_o that_o be_v 1_o s._n 12_o d._n 48_o qt_n the_o first_o stand_v under_o the_o denomination_n of_o shilling_n whereby_o be_v to_o be_v note_v that_o one_o shilling_n be_v equal_a to_o 12_o penny_n or_o 48_o farthing_n and_o likewise_o that_o below_o that_o one_o penny_n be_v equal_a in_o value_n to_o four_o farthing_n understand_v the_o like_a reason_n in_o all_o the_o follow_a table_n of_o weight_n measure_n time_n motion_n and_o dozen_o troy_n weight_n 3._o the_o least_o fraction_n or_o denomination_n of_o weight_n use_v in_o england_n be_v a_o grain_n of_o wheat_n gather_v out_o of_o â—â—e_z middle_n of_o the_o ear_n and_o well_o dry_v from_o whence_o be_v produce_v these_o follow_a â—â—bles_n of_o weight_n call_v troy_n weight_n 32_o grain_n of_o wheat_n make_v 24_o artificial_a grain_n 24_o artificial_a grain_n 1_o penny_n weight_n 20_o peny-weight_n 1_o ounce_n 12_o ounce_n 1_o pound_n troy_n weight_n and_o therefore_o l._n owned_a dra_fw-fr grain_n 1_o 12_o 20_o 24_o 1_o 12_o 240_o 5760_o  _fw-fr 1_o 20_o 480_o  _fw-fr  _fw-fr 1_o 24_o troy_n weight_n serve_v only_o to_o weigh_v bread_n gold_n silver_n and_o electuary_n it_o also_o regulate_v and_o prescribe_v a_o form_n how_o to_o keep_v the_o money_n of_o england_n at_o a_o certain_a standard_n the_o goldsmith_n have_v divide_v the_o ounce_n troy_n weight_n into_o other_o part_n which_o they_o general_o call_v mark_v weight_n the_o denominative_a part_n thereof_o be_v as_o follow_v viz._n a_o mark_n be_v a_o ounce_n troy_n be_v divide_v into_o 24_o equal_a part_n call_v carect_v and_o each_o carect_v into_o 4_o grain_n so_o that_o in_o a_o mark_n be_v 96_o grain_n by_o this_o weight_n they_o distinguish_v the_o different_a finess_n of_o their_o gold_n for_o if_o to_o the_o fine_a of_o gold_n be_v put_v 2_o carect_v of_o alloy_n which_o be_v of_o silver_n copper_n or_o other_o base_a mettle_n with_o which_o they_o use_v to_o mix_v their_o gold_n or_o silver_n to_o abate_v the_o finess_n thereof_o both_o make_v when_o cold_a but_o a_o ounce_n or_o 24_o carect_v than_o this_o gold_n be_v say_v to_o be_v 22_o carect_v fine_a for_o if_o it_o come_v to_o be_v refine_v the_o 2_o carect_v of_o alloy_n will_v fly_v away_o and_o leave_v only_o 22_o carect_v of_o pure_a gold_n the_o like_a to_o be_v consider_v of_o a_o great_a or_o lesser_a quantity_n and_o as_o the_o finess_n of_o gold_n be_v estimate_v by_o carect_v so_o the_o finess_n of_o silver_n be_v distinguish_v by_o ounce_n for_o if_o a_o pound_n of_o it_o be_v pure_a and_o lose_v nothing_o in_o the_o refine_v such_o silver_n be_v say_v to_o be_v twelve_o ounce_n fine_a but_o if_o it_o lose_v any_o thing_n it_o be_v say_v to_o contain_v so_o much_o fineness_n as_o the_o loss_n want_v of_o 12_o ounce_n as_o if_o it_o lose_v a_o ounce_n it_o be_v say_v to_o be_v 11_o ounce_n fine_a and_o if_o it_o lose_v one_o ounce_n 14_o penny_n weight_n than_o it_o be_v say_v to_o be_v 10_o ounce_n 6_o penny_n weight_n fine_a and_o that_o which_o lose_v two_o ounce_n four_o penny_n weight_n 16_o grain_n be_v say_v to_o be_v nine_o ounce_n 15_o penny_n weight_n 8_o grain_n fine_a etc._n etc._n the_o like_a of_o a_o great_a or_o lesser_a quantity_n apothecary_n weight_n 4._o the_o apothecary_n have_v their_o weight_n deduce_v from_o troy_n weight_n a_o pound_n troy_n be_v he_o great_a integer_fw-la a_o table_n of_o who_o division_n and_o sub-division_n follow_v viz._n 1_o pound_n make_v 12_o ounce_n and_o therefore_o 1_o ounce_n 8_o dram_n l._n owned_a dram_n scrup_n gr_n 1_o dram_n 3_o scruple_n 1_o 12_o 8_o 3_o 20_o 1_o scruple_n 20_o grain_n 1_o 12_o 96_o 218_o 5760_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr 1_o 8_o 24_o 480_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr 1_o 3_o 60_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr 1_o 20_o 5._o thus_o much_o concern_v troy_n weight_n and_o its_o derivative_a weight_n which_o as_o be_v say_v before_o serve_v to_o weigh_v bread_n gold_n silver_n and_o electuary_n now_o beside_o troy_n weight_n there_o be_v another_o kind_n of_o weight_n use_v in_o england_n common_o know_v by_o the_o name_n of_o averdupois_n weight_n a_o pound_n of_o which_o be_v equal_a to_o 14_o ounce_n 12_o penny_n weight_n troy_n weight_n and_o it_o serve_v to_o weigh_v all_o kind_n of_o grocery_n ware_n as_o also_o butter_n cheese_n flesh_n wax_n tallow_n resin_n pitch_n lead_v and_o all_o such_o kind_n of_o garbel_n the_o table_n of_o which_o weight_n be_v as_o follow_v the_o table_n of_o averdupois_n weight_n 4_o quarter_n of_o a_o dram_n make_v one_o dram_n 16_o dram_n one_o ounce_n 16_o ounce_n one_o pound_n 28_o pound_n 1_o quarter_n of_o a_o hundred_o 4_o quarter_n 1_o hund_v weight_n or_o 112_o 20_o hundred_o 1_o tun._n and_o therefore_o tun_n c._n qt_n l._n owned_a do_v qt_n 1_o 20_o 4_o 28_o 16_o 16_o 4_o 1_o 20_o 80_o 2240_o 13440_o 215040_o 860160_o  _fw-fr 1_o 4_o 112_o 1792_o 28672_o 114688_o  _fw-fr  _fw-fr 1_o 28_o 448_o 7168_o 28672_o  _fw-fr  _fw-fr  _fw-fr 1_o 16_o 256_o 1024_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr 1_o 16_o 64_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr 1_o 4_o wool_n be_v weigh_v with_o this_o weight_n but_o only_o the_o division_n be_v not_o the_o same_o a_o table_n whereof_o follow_v a_o table_n of_o the_o denominative_a part_n of_o wool-weight_n 7_o pound_n make_v 1_o clove_n 2_o clove_n 1_o stone_n 2_o stone_n 1_o todd_n 6_o todd_n 1_o stone_n 1_o wey_n 2_o weigh_v 1_o sack_n 12_o sack_n 1_o last_o and_o therefore_o last_o sack_n weigh_v todd_n stone_n cloves_n l._n 1_o 12_o 2_o 6_o ½_o 2_o 2_o 7_o 1_o 12_o 24_o 156_o 312_o 624_o 4368_o  _fw-fr 1_o 2_o 13_o 26_o 52_o 364_o  _fw-fr  _fw-fr 1_o 6_o ½_o 13_o 26_o 182_o  _fw-fr  _fw-fr  _fw-fr 1_o 2_o 4_o 28_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr 1_o 2_o 14_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr 1_o 7_o note_v that_o in_o some_o country_n the_o wey_n be_v 256_o l._n averdupois_n as_o be_v the_o suffolk_n wey_n but_o in_o essex_n there_o be_v 336_o l._n in_o a_o wey_n 6._o the_o least_o denominative_a part_n of_o liquid_a measure_n be_v a_o pint_n and_o it_o be_v take_v from_o troy_n weight_n because_o 1_o pound_n of_o wheat_n troy_n weight_n make_v 1_o pint_n liquid_a a_o table_n of_o which_o measure_n follow_v the_o table_n of_o liquid_a measure_n 1_o pound_n of_o wheat_n troy_n make_v 1_o pint_n 2_o pint_n 1_o quart_n 2_o quart_n 1_o pottle_n 2_o pottle_n 1_o gallon_n 8_o gallon_n 1_o firk_n of_o ale_n soap_n or_o herr_fw-ge 9_o gallon_n 1_o firkin_n of_o beer_n 10_o gallon_n and_o a_o half_a 1_o firk_n of_o salmon_n or_o eeles_n 2_o firkin_n 1_o kilderkin_n 2_o kilderkin_n 1_o barrel_n 42_o gallon_n 1_o tierce_n of_o wine_n 63_o gallon_n 1_o hogshead_n 2_o hogshead_n 1_o pipe_n or_o butt_n 2_o pipe_n or_o butt_v 1_o tunn_n of_o wine_n and_o therefore_o tun_n pipe_n hhds_o
pound_n shilling_n under_o shilling_n penny_n under_o penny_n etc._n etc._n yard_n under_o yard_n foot_n under_o foot_n etc._n etc._n 3._o have_v thus_o place_v the_o number_n give_v as_o before_o and_o draw_v a_o line_n under_o they_o add_v they_o together_o begin_v with_o the_o lesser_a denomination_n viz._n at_o the_o right_a hand_n and_o so_o on_o subscribe_v the_o sum_n under_o the_o line_n respective_o as_o for_o example_n let_v there_o be_v give_v 3352_o and_o 213_o and_o 133_o to_o be_v add_v together_o i_o set_v the_o unit_v in_o each_o particular_a number_n under_o each_o other_o and_o so_o likewise_o the_o ten_o under_o the_o ten_o etc._n etc._n and_o draw_v a_o line_n under_o they_o as_o in_o the_o margin_n than_o i_o begin_v at_o the_o place_n of_o unit_n and_o add_v they_o together_o upward_o say_v 3_o and_o 3_o be_v 6_o and_o 2_o make_v 8_o which_o i_o set_v under_o the_o line_n and_o under_o the_o same_o figure_n add_v together_o then_o i_o proceed_v to_o the_o next_o place_n be_v the_o place_n of_o ten_o and_o add_v they_o up_o in_o the_o same_o manner_n as_o i_o do_v the_o place_n of_o unit_n say_v 3_o and_o 1_o be_v 4_o and_o 5_o be_v 9_o which_o i_o likewise_o set_v under_o the_o line_n respective_o then_o i_o go_v to_o the_o place_n of_o hundred_o and_o add_v they_o up_o as_o i_o do_v the_o other_o say_v 1_o and_o 2_o be_v 3_o and_o 3_o be_v 6_o which_o i_o also_o set_v under_o the_o line_n and_o last_o i_o go_v to_o the_o place_n of_o thousand_o and_o because_o there_o be_v no_o other_o figure_n to_o add_v to_o the_o 3_o i_o set_v it_o under_o the_o line_n in_o its_o respective_a place_n and_o so_o the_o work_n be_v finish_v and_o i_o find_v the_o sum_n of_o the_o 3_o give_v number_n to_o be_v 3698._o 4._o but_o if_o the_o sum_n of_o the_o figure_n of_o any_o series_n exceed_v ten_o or_o any_o number_n of_o ten_o subscribe_v under_o the_o same_o the_o excess_n above_o the_o ten_o and_o for_o every_o ten_o carry_v one_o to_o be_v add_v to_o the_o next_o series_n towards_o the_o left_a hand_n and_o so_o go_v on_o until_o you_o have_v finish_v your_o addition_n always_o remember_v that_o how_o great_a soever_o the_o sum_n of_o the_o figure_n of_o the_o last_o series_n be_v it_o must_v all_o be_v set_v down_o under_o the_o line_n respective_o so_o 3678_o being_n give_v to_o be_v add_v to_o 2357_o i_o set_v they_o down_o as_o be_v before_o direct_v and_o as_o in_o the_o margin_n with_o a_o line_n draw_v under_o they_o than_o i_o begin_v and_o add_v they_o say_v 7_o and_o 8_o be_v 15_o which_o be_v 5_o above_o ten_o i_o set_v 5_o under_o the_o line_n and_o carry_v 1_o for_o the_o ten_o to_o be_v add_v to_o the_o next_o series_n say_v 1_o that_o i_o carry_v and_o 5_o be_v 6_o and_o 7_o be_v 13_o i_o set_v down_o 3_o and_o carry_v 1_o for_o the_o ten_o then_o to_o the_o next_o series_n i_o say_v 1_o that_o i_o carry_v and_o 3_o be_v 4_o and_o 6_o be_v ten_o now_o because_o it_o come_v to_o just_a 10_o and_o no_o more_o i_o set_v 0_o under_o the_o line_n and_o carry_v 1_o for_o the_o ten_o to_o the_o next_o and_o say_v 1_o that_o i_o carry_v and_o 2_o be_v 3_o and_o 3_o be_v 6_o which_o i_o set_v down_o in_o its_o respective_a place_n thus_o the_o addition_n be_v end_v and_o the_o total_a sum_n of_o these_o number_n be_v find_v to_o be_v 6035_o several_a example_n of_o this_o kind_n follow_v 5._o if_o the_o number_n give_v to_o be_v add_v be_v contain_v under_o divers_a denomination_n as_o of_o pound_n shilling_n penny_n and_o farthing_n or_o of_o tun_n hundred_o quarter_n pound_n etc._n etc._n then_o in_o this_o case_n have_v dispose_v of_o the_o number_n each_o denomination_n under_o other_o of_o like_a kind_n begin_v at_o the_o least_o denomination_n mind_v how_o many_o of_o one_o denomination_n do_v make_v a_o integer_fw-la in_o the_o next_o and_o have_v add_v they_o up_o for_o every_o integer_fw-la of_o the_o next_o great_a denomination_n that_o you_o find_v therein_o contain_v bear_v a_o unit_fw-la in_o mind_n to_o be_v add_v to_o the_o say_v next_o great_a denomination_n express_v the_o excess_n respective_o under_o the_o line_n proceed_v in_o this_o manner_n until_o your_o addition_n be_v finish_v the_o follow_a example_n will_v make_v the_o rule_n plain_a to_o the_o learner_n thus_o these_o several_a sum_n be_v give_v to_o be_v add_v viz._n 136_o l._n 13_o s._n 4_o d._n 2_o qr_n and_o 79_o l._n 07_o s._n 10_o d._n 3_o qr_n and_o 33_o l._n 18_o s._n 09_o d._n 1_o qr_n also_o 15_o l._n 9_o s._n 5_o d._n 0_o qr_n the_o number_n be_v dispose_v according_a to_o order_n will_v stand_v as_o in_o the_o margin_n then_o i_o begin_v at_o the_o denomination_n of_o farthing_n l._n s._n d._n qr_n 136_o 13_o 04_o 2_o 79_o 07_o 10_o 3_o 33_o 18_o 09_o 1_o 15_o 09_o 05_o 0_o 265_o 09_o 05_o 2_o and_o add_v themup_n say_v 1_o and_o 3_o be_v 4_o &_o 2_o make_v 6_o now_o i_o consider_v that_o 6_o farthing_n be_v 1_o penny_n and_o 2_o farthing_n wherefore_o i_o set_v down_o the_o 2_o farthing_n in_o its_o place_n under_o the_o line_n and_o keep_v 1_o in_o mind_n to_o be_v add_v to_o the_o next_o denomination_n of_o penny_n then_o i_o go_v on_o say_v 1_o that_o i_o carry_v and_o 5_o be_v 6_o and_o 9_o be_v 15_o and_o 10_o be_v 25_o and_o 4_o be_v 29_o now_o i_o consider_v that_o 29_o penny_n be_v 2_o shilling_n and_o 5_o penny_n wherefore_o i_o set_v the_o 5_o penny_n in_o order_n under_o the_o line_n and_o keep_v 2_o in_o mind_n for_o the_o 2_o shilling_n to_o be_v add_v to_o the_o shilling_n then_o i_o go_v on_o say_v 2_o that_o i_o carry_v and_o 9_o be_v 11_o and_o 18_o be_v 29_o and_o 7_o be_v 36_o and_o 13_o be_v 49_o then_o i_o consider_v that_o 49_o shilling_n be_v 2_o pound_n and_o 9_o shilling_n wherefore_o i_o set_v the_o 9_o shilling_n under_o the_o line_n and_o carry_v 2_o for_o the_o 2_o pound_n to_o the_o next_o and_o last_o denomination_n of_o pound_n and_o proceed_v say_v 2_o that_o i_o carry_v and_o 5_o make_v 7._o and_o 3_o be_v 10_o and_o 9_o be_v 19_o and_o 6_o be_v 25_o i_o then_o set_v down_o 5_o and_o carry_v 2_o for_o the_o 2_o ten_o and_o proceed_v say_v 2_o that_o i_o carry_v and_o 1_o be_v 3_o and_o 3_o be_v 6_o and_o 7_o be_v 13_o and_o 3_o make_v 16_o i_o set_v down_o 6_o and_o carry_v 1_o for_o the_o ten_o and_o go_v on_o say_v 1_o that_o i_o carry_v and_o 1_o be_v 2_o which_o i_o set_v in_o its_o place_n under_o the_o line_n and_o the_o work_n be_v finish_v and_o thus_o i_o find_v the_o sum_n of_o the_o foresaid_a number_n to_o be_v 265_o l._n 09_o s._n 05_o d._n 2_o qr_n this_o to_o the_o ingenious_a practitioner_n be_v sufficient_a but_o i_o shall_v for_o the_o further_o illuminate_v of_o weak_a apprehension_n explain_v the_o operation_n of_o another_o example_n in_o troy_n weight_n and_o here_o the_o learner_n must_v take_v notice_n of_o the_o table_n of_o troy_n weight_n mention_v or_o set_v down_o in_o the_o three_o section_n of_o the_o second_o chapter_n the_o number_n give_v in_o this_o example_n be_v 38_o l._n 07_o oz._n 13_o p.w._n 18_o gr_n and_o 50_o l._n 10_o oz._n 10_o p.w._n 12_o gr_n and_o 42_o l._n 08_o oz._n 05_o p.w._n 16_o gr_n and_o in_o order_n to_o the_o addition_n thereof_o i_o place_v they_o as_o you_o see_v and_o proceed_v to_o operation_n say_v 16_o and_o 12_o be_v 28_o and_o 18_o be_v 46_o now_o because_o 24_o grain_n l._n oz._n p.w._n gr_n 38_o 07_o 13_o 18_o 50_o 10_o 10_o 12_o 42_o 08_o 05_o 16_o 132_o 02_o 09_o 22_o make_v 1_o penny_n weight_n 46_o grain_n be_v 1_o penny_n weight_n and_o 22_o grain_n wherefore_o i_o set_v down_o 22_o and_o carry_v 1_o for_o the_o the_o penny_n weight_n and_o go_v on_o i_o say_v oâ—e_o that_o i_o carry_v and_o 5_o make_v 6_o and_o 10_o be_v 16_o and_o 13_o be_v 29_o which_o be_v 1_o ounce_n and_o 9_o penny_n weight_n i_o set_v down_o 9_o in_o its_o place_n under_o the_o line_n and_o carry_v 1_o to_o the_o ounce_n say_v 1_o that_o i_o carry_v and_o 8_o be_v 9_o and_o 10_o be_v 19_o and_o 7_o be_v 26_o and_o because_o 26_o ounce_n make_v 2_o pound_n 2_o ounce_n i_o set_v down_o 2_o for_o the_o ounce_n and_o carry_v 2_o to_o the_o pound_n go_v on_o 2_o that_o i_o carry_v and_o 2_o be_v 4_o and_o 8_o make_v 12_o that_o be_v 2_o and_o go_v 1_o then_z 1_o i_o carry_v and_o 4_o be_v 5_o and_o 5_o be_v 10_o and_o 3_o be_v 13_o which_o i_o set_v down_o
interest_n how_o much_o will_v 75_o l._n require_v which_o by_o the_o 3_o rule_n of_o the_o 11_o chapter_n i_o find_v to_o be_v direct_a and_o by_o the_o 7_o and_o 8_o rule_n of_o the_o 10_o chapter_n i_o find_v the_o four_o proportional_a number_n to_o be_v 4_o l._n 10_o s._n so_o that_o by_o the_o forego_n single_a question_n i_o have_v discover_v how_o much_o 75_o l._n will_v gain_v interest_n in_o 12_o m._n the_o operation_n whereof_o follow_v on_o the_o left_a hand_n under_o the_o letter_n a_o and_o have_v discover_v how_o much_o 75_o l._n will_v gain_v in_o 12_o month_n we_o may_v by_o another_o question_n easy_o discover_v how_o much_o it_o will_v gain_v in_o 9_o month_n for_o this_o four_o number_n thus_o find_v i_o put_v in_o the_o middle_n between_o the_o two_o low_a number_n of_o the_o five_o after_o they_o be_v place_v according_a to_o the_o seven_o rule_n of_o this_o chapter_n and_o than_o it_o will_v be_v a_o second_o number_n in_o another_o question_n in_o the_o rule_n of_o 3_o the_o number_n be_v the_o first_o and_o three_o number_n be_v of_o one_o denomination_n viz._n both_o month_n and_o may_v be_v thus_o express_v if_o 12_o month_n require_v 4_o l._n 10_o s._n interest_n what_o will_v 9_o month_n require_v and_o by_o the_o 3_o rule_n of_o the_o 11_o chapter_n i_o find_v it_o to_o be_v the_o direct_a rule_n and_o by_o work_v according_a to_o the_o direction_n lay_v down_o in_o the_o 7_o 8_o and_o 9_o rule_n of_o the_o 10_o chapter_n i_o find_v the_o four_o proportional_a number_n to_o the_o last_o single_a question_n to_o be_v 3_o l._n 07_o s._n 06._o which_o be_v the_o six_o proportional_a number_n to_o the_o 5_o give_v number_n and_o be_v the_o answer_n to_o the_o general_n question_n the_o work_n of_o the_o last_o single_a question_n be_v express_v on_o the_o right_a side_n of_o the_o page_n under_o the_o letter_n b_o as_o follow_v so_o that_o by_o the_o forego_n operation_n i_o conclude_v that_o if_o 100_o l._n in_o 12_o month_n gain_n 6_o l._n interest_n 75_o l._n will_v gain_v 3_o l._n 7_o s._n 6_o d._n in_o 9_o month_n after_o the_o same_o rate_n the_o answer_n will_v have_v be_v the_o same_o if_o the_o 5_o give_v number_n have_v be_v order_v according_a to_o the_o second_o method_n viz._n as_o you_o see_v in_o the_o margin_n for_o first_o i_o say_v if_o 12_o month_n gain_n 6_o l._n what_o will_v 9_o month_n gain_n this_o question_n i_o find_v to_o be_v direct_a by_o the_o 3_o rule_n of_o the_o 11_o chapter_n and_o by_o the_o 7_o and_o 8_o rule_n of_o the_o 10_o chapter_n i_o find_v the_o four_o proportional_a number_n to_o these_o three_o to_o be_v 4_o l._n 10_o s._n thus_o have_v i_o find_v out_o what_o be_v the_o interest_n of_o 100_o l._n for_o 9_o month_n and_o i_o have_v now_o to_o find_v the_o interest_n of_o 75_o l._n for_o 9_o month_n to_o effect_v which_o i_o make_v this_o four_o number_n find_v as_o before_o to_o be_v my_o second_o number_n in_o the_o next_o question_n and_o say_v if_o 100_o l._n require_v 4_o l._n 10_o s._n what_o will_v 75_o l._n require_v this_o question_n i_o find_v by_o the_o say_v 3_o rule_n of_o the_o 11_o chapter_n to_o be_v direct_a and_o by_o the_o say_v 7_o 8_o and_o 9_o rule_n of_o the_o 10_o chapter_n i_o find_v the_o answer_n to_o be_v as_o before_o viz._n 3_o l._n 7_o s._n 6_o d._n this_o rule_n have_v be_v sufficient_o explain_v by_o the_o forego_n example_n so_o that_o the_o learner_n may_v be_v able_a to_o resolve_v the_o follow_v or_o any_o other_o question_n pertinent_a to_o the_o double_a rule_n of_o 3_o direct_v who_o answer_n be_v there_o give_v but_o the_o operation_n purposely_o omit_v to_o try_v the_o learner_n ability_n in_o the_o knowledge_n of_o what_o have_v be_v before_o deliver_v quest._n 2._o a_o second_o example_n in_o this_o rule_n may_v be_v as_o follow_v viz._n a_o carrier_n receive_v 42_o shilling_n for_o the_o carriage_n of_o 3_o c._n weight_n 150_o miles_n i_o demand_v how_o much_o he_o ought_v to_o receive_v for_o the_o carriage_n of_o 7_o c._n 3_o qr_n 14_o l._n 50_o miles_n at_o that_o rate_n answer_v 36_o s._n 9_o d._n quest._n 3._o a_o regiment_n of_o 936_o soldier_n eat_v up_o 351_o quarter_n of_o wheat_n in_o 168_o day_n i_o demand_v how_o many_o quarter_n of_o wheat_n 11232_o soldier_n will_v eat_v in_o 56_o day_n at_o that_o rate_n answer_v 1404_o qr_n quest._n 4._o if_o 40_o acre_n of_o grass_n be_v mow_v by_o 8_o man_n in_o 7_o day_n how_o many_o acre_n shall_v be_v mow_v by_o 24_o man_n in_o 28_o day_n answer_v 480_o acre_n quest._n 5._o if_o 48_o bushel_n of_o corn_n or_o other_o seed_n yield_v 576_o bushel_n in_o 1_o year_n how_o much_o will_v 240_o bushel_n yield_v in_o 6_o year_n at_o that_o rate_n that_o be_v to_o say_v if_o there_o be_v sow_v 240_o bushel_n every_o one_o of_o the_o 6_o year_n answer_v 17280_o bushel_n quest._n 6._o if_o 40_o shilliâ—â—_n 〈…〉_z wage_n of_o 8_o man_n for_o 5_o day_n 〈◊〉_d â—hall_v be_v the_o wage_n of_o 32_o man_n for_o 24_o day_n answer_v 768_o shilling_n or_o 38_o l._n 8_o s._n quest._n 7._o if_o 14_o horse_n eat_v 5â—_n bushel_n of_o provender_n in_o 16_o day_n how_o many_o bushel_n will_v 20_o horse_n eat_v in_o 24_o day_n answer_v 120_o bushel_n quest._n 8._o if_o 8_o cannon_n in_o 1_o day_n spend_v 48_o barrel_n of_o powder_n i_o demand_v how_o many_o barrel_n 24_o cannon_n will_v spend_v be_v 12_o day_n at_o that_o rate_n answer_v 1728_o barrel_n quest._n 9_o if_o in_o a_o family_n consist_v of_o 7_o person_n there_o be_v drink_v out_o 2_o kilderkin_n of_o beer_n in_o 12_o day_n how_o many_o kilderkin_n will_v there_o be_v drink_v out_o in_o 8_o day_n by_o another_o family_n consist_v of_o 14_o person_n answer_v 48_o gallon_n or_o 2_o kilderkin_n and_o 12_o gallon_n quest._n 10._o a_o usurer_n put_v 75_o l._n out_o to_o receive_v interest_n for_o the_o same_o and_o when_o it_o have_v continue_v 9_o month_n he_o receive_v for_o principal_n and_o interest_n 78_o l._n 7_o s._n 6_o d._n i_o demand_v at_o what_o rate_v per_fw-la cent._n per_fw-la annum_fw-la he_o receive_v interest_n answer_v at_o 6_o l._n per_fw-la cent._n per_fw-la annum_fw-la chap._n xiii_o the_o double_a rule_n of_o three_o inverse_n 1._o the_o double_a rule_n of_o 3_o inverse_v be_v when_o a_o question_n in_o the_o double_a rule_n of_o 3_o be_v resolve_v by_o 2_o single_a rule_n of_o 3_o and_o one_o of_o those_o single_a rule_n fall_v out_o to_o be_v inverse_n or_o require_v a_o four_o number_n in_o proportion_n reciprocal_a for_o both_o the_o question_n be_v never_o inverse_v 2._o in_o all_o question_n of_o the_o double_a rule_n of_o 3_o as_o well_o inverse_v as_o direct_v you_o be_v in_o the_o dispose_n of_o the_o 5_o give_v number_n to_o observe_v the_o seven_o rule_n of_o the_o 12_o chapter_n and_o in_o resolve_v of_o it_o by_o two_o single_a rule_n observe_v to_o make_v choice_n of_o your_o number_n for_o the_o first_o and_o second_o single_a question_n according_a to_o the_o direction_n give_v in_o 8_o rule_n of_o the_o same_o chapter_n as_o in_o the_o example_n follow_v viz._n quest._n 1._o if_o 100_o l._n principal_a in_o 12_o month_n gain_n 6_o l._n interest_n what_o principal_a will_v gain_v 3_o l._n 7_o s._n 6_o d._n in_o 9_o month_n this_o question_n be_v a_o inversion_n of_o the_o first_o question_n of_o the_o 12_o chapter_n and_o may_v serve_v for_o a_o proof_n thereof_o in_o order_n to_o a_o resolution_n i_o dispose_v of_o the_o 5_o give_v number_n according_a to_o the_o seven_o rule_n of_o the_o last_o chapter_n and_o be_v so_o dispose_v will_v stand_v as_o follow_v 12_o 100_o 9_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr l._n s._n d._n 6_o  _fw-fr 3_o 7_o 6_o or_o thus_o  _fw-fr  _fw-fr l._n s._n d._n 6_o 100_o 3_o 7_z 6_z 12_o  _fw-fr 9_o  _fw-fr  _fw-fr here_o observe_v that_o according_a to_o the_o 8_o rule_n of_o the_o 12_o chapter_n the_o first_o question_n if_o you_o take_v it_o from_o the_o 5_o number_n as_o they_o be_v order_v or_o place_v first_o will_v be_v if_o 12_o month_n require_v 100_o l._n principal_a what_o will_v 9_o month_n require_v to_o make_v the_o same_o interest_n this_o according_a to_o the_o 3_o rule_n of_o the_o 11_o chapter_n be_v inverse_v and_o the_o answer_n will_v be_v find_v by_o the_o 2_o rule_n of_o the_o 11_o chapter_n to_o be_v 133_o l._n 6_o s._n 8_o d._n the_o second_o question_n than_o will_v be_v if_o 6_o l._n interest_n require_v 133_o l._n 6_o s._n 8_o d._n principal_a how_o much_o principal_a will_v 3_o l._n 7_o s._n 6_o d._n require_v this_o be_v a_o direct_a