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end_n day_n hour_n minute_n 1,570 5 11.3251 5 false
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A10530 The grounde of artes teaching the perfect vvorke and practise of arithmetike, both in whole nu[m]bers and fractions, after a more easie ane exact sort, than hitherto hath bene set forth. Made by M. Robert Recorde, D. in Physick, and afterwards augmented by M. Iohn Dee. And now lately diligently corrected, [and] beautified with some new rules and necessarie additions: and further endowed with a thirde part, of rules of practize, abridged into a briefer methode than hitherto hath bene published: with diverse such necessary rules, as are incident to the trade of merchandize. Whereunto are also added diuers tables [and] instructions ... By Iohn Mellis of Southwark, scholemaster.; Ground of artes Record, Robert, 1510?-1558.; Dee, John, 1527-1608.; Mellis, John, fl. 1588. 1582 (1582) STC 20802; ESTC S102132 245,945 706

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how_o often_o i_o may_v have_v the_o divisour_n therein_o and_o that_o may_v i_o do_v four_o time_n then_o say_v i_o four_o time_n 2_o be_v 8_o whithe_o if_o i_o take_v from_o 9_o there_o rest_v but_o 1_o thus_o and_o because_o i_o find_v the_o divisor_n 4_o time_n in_o the_o divident_fw-la i_o have_v set_v as_o you_o see_v 4_o in_o the_o middle_a room_n which_o be_v the_o place_n of_o the_o quotient_a but_o now_o must_v i_o take_v the_o rest_n of_o the_o divisour_n as_o often_o out_o of_o the_o remayner_n therefore_o come_v i_o to_o the_o second_o line_n of_o the_o divisor_n say_v 2_o four_o time_n make_v 8_o take_z 8_o from_o 10_o and_o there_o rest_v 2_o thus_o then_o come_v i_o to_o the_o low_a number_n which_o be_v 5_o and_o multiply_v it_o 4_o time_n so_o be_v it_o 20_o that_o take_v i_o from_o 20_o &_o there_o remain_v nothing_o ☜_o ☜_o so_o that_o i_o see_v my_o quotient_n to_o be_v 4_o which_o be_v in_o value_n shilling_n for_o so_o be_v the_o divident_fw-la and_o thereby_o i_o know_v that_o if_o 225_o sheep_n do_v cost_v 45_o lb_n every_o sheep_n cost_v 4_o s_o sch._n this_o can_v i_o do_v wage_n example_n of_o wage_n as_o you_o shall_v perceive_v by_o this_o example_n if_o 100_o soldier_n do_v spend_v every_o month_n 68_o lb_n what_o spend_v each_o man_n first_o because_o i_o can_v divide_v the_o 68_o by_o 160_o therefore_o i_o will_v turn_v the_o lb_n into_o penny_n by_o multiplication_n so_o shall_v there_o be_v 16320_o d._n now_o must_v i_o divide_v
wrought_v every_o day_n yield_v 25_o d_o the_o total_a be_v 600_o d_o so_o that_o abate_v 480_o out_o of_o 600_o there_o rest_v 120_o and_o as_o you_o say_v it_o shall_v be_v but_o 65_o therefore_o it_o be_v too_o much_o by_o 55_o that_o must_v be_v set_v on_o the_o right_a hand_n of_o the_o figure_n at_o the_o nether_a part_n and_o over_o it_o on_o the_o same_o side_n 16_o which_o be_v the_o second_o position_n thus_o and_o as_o i_o gather_v by_o your_o word_n it_o be_v all_o one_o if_o i_o do_v set_v 28_o in_o stead_n of_o 12_o and_o 24_o in_o stead_n of_o 16._o m._n so_o be_v it_o but_o this_o shall_v you_o mark_v ☜_o ☜_o note_v note_v that_o of_o what_o nature_n so_o ever_o the_o two_o position_n be_v of_o the_o same_o nature_n be_v the_o quotient_a therefore_o when_o the_o position_n in_o this_o question_n be_v 12_o and_o 16_o rule_n the_o proof_n of_o this_o rule_n which_o both_o be_v number_n of_o the_o play_a day_n the_o quotiente_a shall_v declare_v the_o true_a number_n of_o 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your_o own_o fantasy_v until_o you_o be_v more_o expert_a in_o this_o art_n ☜_o ☜_o for_o so_o may_v you_o as_o well_o happen_v on_o a_o impossible_a question_n as_o on_o a_o possible_a but_o now_o to_o go_v forward_o consider_v that_o this_o number_n be_v too_o little_a by_o 220_o see_v he_o shall_v gain_v by_o your_o supposition_n 120_o do_v and_o in_o this_o position_n he_o leese_v 100_o those_o both_o make_v 220_o which_o you_o shall_v set_v down_o for_o the_o first_o error_n with_o this_o sign_n betoken_v to_o little_a as_o here_o in_o this_o form_n follow_v do_v appear_v and_o now_o for_o the_o rest_n go_v forward_o yourself_o once_o again_o scholar_n as_o my_o error_n have_v utter_v my_o folly_n so_o it_o have_v procure_v i_o better_a understanding_n now_o therefore_o consider_v this_o position_n not_o to_o solve_v the_o question_n i_o take_v a_o other_o suppose_v that_o he_o wrought_v 30_o day_n then_o for_o his_o wage_n he_o must_v be_v allow_v 750_o do_v and_o for_o the_o 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forget_v this_o part_n of_o the_o rule_n take_v this_o brief_a remembrance_n unlike_a require_v addition_n and_o like_a desire_n subtraction_n sch._n you_o mean_v that_o if_o the_o error_n have_v like_o sign_n then_o must_v the_o dividend_n and_o the_o divisor_n be_v make_v by_o subtraction_n as_o be_v teach_v before_o and_o if_o those_o sign_n be_v unlike_a as_o in_o this_o last_o example_n they_o be_v then_o must_v i_o by_o addition_n gather_v the_o dividend_n and_o the_o divisor_n therefore_o must_v i_o add_v 6600_o to_o 6600_o and_o it_o will_v be_v 13200_o which_o shall_v be_v the_o dividend_n then_o again_o i_o add_v 220_o to_o 330_o and_o it_o will_v be_v 5●0_n which_o must_v be_v the_o divisor_n wherefore_o divide_v 13200_o by_o 550_o the_o quotient_n will_v be_v 24_o whereby_o i_o know_v that_o the_o mason_n wrought_v 24_o day_n and_o then_o it_o follow_v that_o he_o play_v 16_o day_n m._n examine_v your_o work_n whether_o it_o be_v agreeable_a to_o the_o question_n or_o no._n 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at_o castili_fw-la 350_o meruaide_n at_o l●sbone_n 360_o rat_n in_o antwerp_n 57_o denier_n de_fw-fr gros_n and_o at_o london_n 70_o do_v sterling_a and_o contrariwise_o they_o do_v give_v in_o the_o say_a city_n almost_o as_o much_o of_o their_o money_n to_o have_v a_o french_a crown_n of_o the_o mark_n at_o lion_n thirdlye_o they_o do_v give_v at_o lion_n a_o 🜄_n of_o the_o sun_n to_o have_v almost_o 93_o krentzer_n at_o franckforde_n auguste_n norenberge_n or_o other_o city_n in_o almain_n also_o at_o lion_n only_o they_o do_v pay_v the_o change_n the_o 2_o ●_o in_o gold_n and_z 1_o ●_o in_o money_n or_o else_o all_o in_o money_n in_o give_v 1_o ½_n for_o the_o hundred_o change_n at_o naples_n and_o other_o town_n item_n at_o naples_n they_o give_v or_o deliver_v almost_o 112_o ducat_n to_o receive_v at_o rome_n 100_o ducat_n of_o the_o chamber_n at_o the_o old_a value_n through_o luque_n and_o florence_n they_o deliver_v 100_o ducat_n carlins_n to_o receive_v there_o almost_o 86_o 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haberdepoize_n from_o the_o troy_n weight_n be_v derive_v the_o proportion_n and_o quantity_n of_o all_o kind_n of_o dry_a and_o liquid_a measure_n as_o peck_v bushel_n quarter_n etc._n etc._n wherewith_o be_v buy_v and_o sell_v all_o kind_n of_o grain_n and_o other_o commodity_n meet_v by_o the_o bushel_n and_o in_o liquid_a ale_n beer_n wine_n oil_n butter_n honey_n etc._n etc._n upon_o these_o ground_n and_o statute_n be_v bread_n make_v and_o sell_v by_o the_o troy_n weight_n and_o so_o be_v gold_n silver_n pearl_n precious_a stone_n and_o jewel_n the_o least_o quantity_n of_o this_o troy_n weight_n be_v a_o grain_n 24_o of_o these_o grain_n make_v a_o penny_n weight_n 20_o penny_n weight_v a_o ounce_n and_o 12_o ounce_n a_o pound_n 2_o lb_n or_o 2_o pint_n of_o this_o weight_n make_v a_o quart_n and_o so_o ascend_v into_o big_a quantity_n be_v produce_v the_o measure_n whereby_o be_v sell_v our_o other_o natural_a sustenance_n uz._n ale_n or_o beer_n with_o also_o other_o necessary_a commodity_n as_o butter_n honey_n herring_n eel_n soap_n etc._n etc._n all_o which_o last_o before_o rehearse_v though_o their_o measure_n wherein_o they_o be_v contain_v be_v frame_v and_o derive_v from_o the_o troy_n weight_n yet_o be_v they_o in_o traffic_n with_o diverse_a commodity_n as_o lead_v tin_n flare_v wax_v with_o all_o other_o commodity_n both_o of_o this_o realm_n &_o of_o other_o foreign_a country_n whatsoever_o buy_v &_o sell_v by_o the_o haberdepoise_n weight_n after_o 16_o ounce_n to_o the_o pound_n and_o 112_o lb_n to_o the_o c._n weight_n and_o unto_o every_o c._n be_v allow_v 12_o lb_a weight_n at_o the_o common_a beam_n from_o hence_o be_v also_o derive_v the_o weigh_n of_o suffolk_n cheese_n which_o contain_v 32_o clove_n 8_o lb_n to_o a_o clove_n and_o weygh_v in_o all_o 256_o lb_n and_o also_o the_o barrel_n of_o suffolk_n butter_n be_v or_o shall_v be_v of_o like_a weight_n with_o the_o weigh_n of_o cheese_n uz._n 256_o lb_n more_n 14_o of_o 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esterling_n 32_o as_o our_o grain_n the_o goldsmith_n divide_v that_o into_o small_a but_o not_o the_o merchant_n the_o proof_n of_o gold_n be_v make_v by_o caracte_n whereof_o 24_o make_v a_o mark_n of_o fine_a gold_n the_o karact_n be_v 24_o grain_n the_o proof_n of_o the_o money_n be_v make_v by_o denier_n 12_o denier_n be_v 1_o s_o fine_a that_o be_v a_o mark_n of_o fine_a silver_n the_o denier_n also_o be_v divide_v into_o 24_o grain_n and_o the_o grain_n into_o 4_o quarter_n item_n 100_o mark_n in_o antwerp_n troy_n weight_n make_v at_o lion_n 103_o mark_n 2_o ½_n ounce_n and_o 20_o grain_n 23_o lordship_n at_o noremburg_n 103_o mark_n 2_o ½_n ounce_n 2_o quint_v 3_o denier_n at_o frankford_n 105_o mark_n at_o ausburge_n 104_o mark_n 3_o ounce_n 1_o quint_fw-la at_o venice_n 103_o mark_n 1_o ounce_n 7_o denier_n 18_o grain_n at_o london_n 66_o lb._n the_o mark_n of_o gold_n or_o silver_n at_o antwerp_n troy_n weight_n which_o be_v 8_o ounce_n make_v 7_o ½_n ounce_n common_a weight_n with_o which_o all_o other_o merchandise_n be_v weigh_v so_o that_o the_o troy_n weight_n be_v great_a than_o the_o common_a weight_n by_o 6_o ¼_n in_o the_o c._n by_o this_o weight_n of_o troy_n they_o also_o weigh_v musk_n amber_n pearl_n etc._n etc._n all_o silk_n be_v buy_v at_o antwerp_n by_o the_o bruges_n ell_n which_o be_v great_a than_o the_o common_a measure_n by_o which_o they_o retail_v by_o 2_o in_o the_o c._n their_o common_a ell_n be_v ●_o 4_o of_o our_o yard_n and_o ⅖_n of_o our_o ell._n lion_n at_o lion_n be_v use_v 3_o sort_n of_o weight_n whereof_o the_o first_o be_v the_o common_a town_n weight_n with_o which_o they_o weigh_v all_o kind_n of_o spicery_n and_o