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Word A Word B Word C Word D Occurrence Frequency Band MI MI Band Prominent
hand_n left_a order_n rank_n 7,128 5 11.6759 5 false
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ID Title Author Corrected Date of Publication (TCP Date of Publication) STC Words Pages
A01957 The vvell spryng of sciences whiche teacheth the perfecte woorke and practise of arithmeticke, bothe in whole nombers and fractions, with suche easie and compendious instruction into the said arte, as hath not heretofore been by any sette out nor laboured. Beautified with moste necessary rules and questions, not onely profitable for marchauntes, but also for all artificers, as in the table doeth partlie appere: set forthe by Humfrey Baker citezeine of Lo[n]don. Baker, Humfrey, fl. 1557-1587. 1568 (1568) STC 1210; ESTC S104536 98,237 336

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64_o 72_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr 9_o 9_z  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr 81_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr  _fw-fr first_o because_o one_o do_v not_o multiply_v i_o set_v in_o the_o upper_a margin_n the_o figure_n from_o 1._o to_o 9_o both_o in_o the_o hire_n and_o also_o in_o the_o inferior_a row_n for_o one_o in_o the_o hang_v margin_n multiply_v by_o one_o the_o upper_a number_n in_o the_o first_o square_n bring_v but_o one_o so_o likewise_o two_o be_v the_o high_a number_n in_o the_o second_o square_v of_o the_o upper_a margin_n multiply_v by_o 1._o in_o the_o hang_v margin_n bring_v two_o for_o the_o low_a number_n in_o the_o second_o square_v of_o the_o upper_a margin_n for_o one_o time_n one_o make_v but_o one_o and_o one_o time_n two_o make_v two_o than_o one_o time_n three_o make_v 3._o and_o one_o time_n four_o make_v four_o and_o so_o continew_v towards_o the_o right_a hand_n until_o 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as._n 14._o the_o difference_n of_o the_o second_o to_o the_o first_o be_v 3_o add_v 3._o unto_o 4_o and_o they_o be_v 7._o for_o the_o third_o number_n then_o add_v 3._o unto_o 7_o and_o they_o make_v 10._o for_o the_o fowerth_o number_n and_o so_o of_o all_o other_o then_o if_o you_o will_v add_v quick_o the_o number_n of_o any_o progression_n you_o shall_v do_v thus_o first_o tell_v how_o many_o number_n there_o be_v and_o write_v their_o some_o down_o by_o itself_o as_o in_o this_o example_n 2._o 5._o 8._o 11._o 14._o where_o the_o number_n be_v 5_o as_o you_o may_v see_v therefore_o you_o must_v set_v down_o 5._o in_o a_o place_n alone_o as_o i_o 5._o have_v do_v here_o in_o the_o margin_n then_o shall_v you_o add_v the_o first_o number_n and_o the_o last_o together_o which_o in_o this_o example_n be_v 14._o and._n 2._o and_o they_o make_v 16._o take_v half_a thereof_o which_o be_v 8._o and_o multiply_v it_o by_o the._n 5._o which_o i_o note_v in_o the_o margente_fw-la for_o the_o number_n of_o the_o place_n and_o the_o some_o which_o amount_v of_o that_o multyplication_n be_v the_o just_a somme_fw-fr of_o all_o those_o figure_n add_v together_o as_o in_o this_o example_n 8._o multiply_v by_o 5._o do_v make_n 40._o and_o that_o be_v the_o some_o of_o all_o the_o figure_n an_o other_o example_n of_o parcelle_v that_o be_v even_o as_o thus_o 1._o 2._o 3._o 4._o 5._o 6._o in_o this_o example_n you_o must_v likewaies_o note_v down_o the_o number_n of_o the_o place_n as_o before_o be_v teach_v and_o they_o add_v together_o the_o last_o number_n and_o the_o first_o and_o the_o some_o which_o come_v of_o that_o addition_n shall_v you_o multiply_v by_o half_a the_o number_n of_o the_o place_n which_o before_o be_v note_v and_o that_o which_o result_v of_o the_o same_o multiplication_n be_v the_o whole_a somme_fw-fr of_o all_o those_o figure_n as_o in_o this_o former_a example_n where_o the_o number_n of_o the_o place_n be_v 6._o i_o note_v the_o 6._o apart_o and_o then_o i_o add_v 6._o 6._o and_o 1._o together_o which_o be_v the_o last_o and_o first_o number_n and_o they_o make_v 7._o the_o which_o i_o multiply_v by_o 3._o which_o be_v half_a the_o number_n of_o place_n and_o they_o make_v 21._o and_o so_o much_o amount_v all_o those_o figure_n add_v together_o progression_n geometrical_a be_v when_o geometrical_a the_o second_o number_n contain_v the_o first_o in_o any_o proportion_n 2._o 3._o or_o 4._o time_n and_o so_o forth_o and_o in_o like_a proportion_n shall_v the_o third_o number_n contain_v the_o second_o and_o the_o fowerth_o the_o three_o and_o the_o first_o the_o fowerth_o etc._n etc._n as._n 2._o 4._o 8._o 16._o 32._o 64._o here_o the_o proportion_n be_v double_a likewaies_n 3._o 9_o 27._o 81._o 243._o be_v in_o triple_a proportion_n and._n 2._o 8._o 32._o 128._o 512._o be_v in_o proportion_n quadruple_a that_o be_v to_o say_v in_o the_o first_o example_n where_o the_o proportion_n be_v double_a every_o number_n contain_v the_o other_o 2._o time_n in_o the_o second_o example_n of_o triple_a proportion_n the_o noumber_n exceade_v each_o other_o three_o time_n and_o in_o the_o three_o example_n the_o number_n exceade_v each_o other_o four_o time_n and_o thus_o you_o see_v that_o progression_n arthmeticalle_n differ_v from_o progression_n geometricalle_n for_o that_o that_o in_o y_fw-fr ●_o arithmetical_a the_o excess_n be_v only_o in_o quantity_n but_o in_o the_o geometrical_a the_o excess_n be_v in_o proportion_n now_o if_o you_o will_v easy_o find_v the_o some_o of_o any_o soche_n number_n you_o shall_v do_v thus_o consider_v by_o what_o noumber_n they_o be_v multiply_v whether_o by_o 2._o 3._o 4._o 5._o or_o any_o other_o and_o by_o the_o same_o number_n you_o must_v multiply_v the_o last_o somme_fw-fr in_o the_o progression_n and_o from_o the_o producte_v of_o the_o same_o multiplication_n you_o shall_v abate_v the_o first_o number_n of_o the_o progression_n and_o that_o which_o remain_v of_o the_o say_v multiplication_n you_o shall_v divide_v by_o 1._o less_o than_o be_v the_o number_n by_o the_o which_o i_o do_v multiply_v and_o the_o quotient_n shall_v show_v you_o the_o somme_fw-fr of_o all_o the_o number_n in_o any_o progression_n as_o in_o this_o exaumple_v 5._o 15._o 45._o 135._o 405._o which_o be_v in_o triple_a proportion_n now_o must_v you_o multiply_v 405._o by_o 3._o and_o they_o be_v 1215._o from_o the_o which_o you_o shall_v abate_v the_o first_o number_n of_o the_o progression_n which_o be_v 5._o and_o there_o rest_v 1210._o the_o which_o you_o shall_v divide_v by_o the_o number_n less_o by_o 1._o then_o by_o the_o which_o you_o do_v multiply_v that_o be_v to_o say_v by_o 2._o and_o you_o shall_v find_v in_o the_o quocient_a 605._o which_o be_v the_o
whereunto_o add_v the_o numerator_n 3._o &_o it_o make_v 67_o 4_o which_o multiply_v by_o 15_o 1_z accord_v unto_o thinstruction_n of_o the_o last_o example_n and_o you_o shall_v find_v y_z e_o product_n of_o this_o multiplication_n to_o be_v 251_o ¼_n as_o by_o practice_n do_v here_o appear_v 4._o and_o if_o you_o will_v multiple_v a_o break_a number_n by_o whole_a number_n and_o break_a or_o else_o whole_a number_n and_o break_a by_o a_o break_a as_o by_o example_n if_o you_o will_v multiply_v ¼_n by_o 18._o ⅔_n or_o else_o 18_o ⅔_n by_o ¼_n which_o be_v all_o one_o you_o must_v reduce_v the_o whole_a noumber_n into_o his_o break_a by_o the_o sixth_o reduction_n and_o you_o shall_v find_v 56_o 3_o which_o you_o shall_v multiply_v by_o the_o ¼_n after_o the_o doctrine_n of_o the_o first_o multiplication_n that_o be_v to_o say_v in_o multipli_v the_o numerator_n 56._o by_o the_o numerator_n of_o ¼_n which_o be_v 1._o and_o it_o be_v still_o 56._o because_o 1._o do_v neither_o multiply_v nor_o divide_v and_o likewise_o you_o must_v multiply_v the_o denominator_fw-la 3._o by_o the_o denominatour_n 4._o and_o it_o make_v 12._o then_o divide_v 56._o by_o 12._o and_o thereof_o come_v 4._o ⅔_n and_o so_o much_o amounnt_v the_o multiplication_n of_o the_o 〈◊〉_d ⅔_n multiply_v by_o ¼_n as_o by_o example_n 5._o if_o you_o will_v multiply_v whole_a number_n and_o break_a with_o whole_a and_o break_a you_o must_v first_o put_v either_o whole_a number_n into_o his_o break_a accord_v to_o the_o instruction_n of_o the_o sixth_o reduction_n and_o 〈◊〉_d multiply_v the_o one_o numera_fw-la 〈◊〉_d the_o other_o and_o of_o the_o producte_v make_v your_o numerator_n and_o likewise_o multiply_v the_o denominator_n the_o one_o by_o the_o other_o and_o thereof_o make_v the_o denominator_fw-la then_o divide_v the_o numerator_n by_o the_o denominator_fw-la and_o the_o quotient_n be_v the_o increase_n of_o this_o multiplication_n ¶_o example_n if_o you_o will_v multiply_v 12._o ⅘_n b_o 〈…〉_o ¾_n first_o by_o the_o sixth_o reduction_n the._n 12._o ⅘_n will_v make_v 64_o 5_o and_o the._n 6._o ¾_n will_v make_v 27_o 4_o then_o multiply_v the_o numerator_n 64._o by_o the_o numerator_n 27._o and_o thereof_o come_v 1728._o for_o the_o numerator_n and_o then_o you_o must_v multiply_v the_o denominator_fw-la 5._o by_o the_o denominator_fw-la 4._o and_o they_o do_v make_v 20._o then_o divide_v 1728._o by_o 20._o and_o thereof_o come_v 86._o ⅖_n for_o the_o whole_a multiplication_n as_o by_o example_n 6._o if_o you_o will_v multiply_v one_o break_a number_n by_o many_o break_a number_n thus_o as_o to_o multiply_v ⅔_n by_z 5_z 7._o and_o by_o 4_o 9_z you_o must_v multiply_v the_o numerator_n of_o all_o the_o fraction_n the_o one_o by_o the_o other_o and_o of_o the_o product_n make_v the_o numerator_n that_o be_v to_o say_v 2._o by_o 5._o and_o they_o be_v 10._o then_o 10._o by_o 4._o and_o they_o be_v 40._o for_o the_o numerator_n likewise_o you_o must_v multiply_v the_o denominator_n the_o one_o by_o the_o other_o that_o be_v to_o say_v 3._o by_o 7._o make_v 21._o then_o 21._o by_o 9_o make_v 189_o for_o the_o denominator_fw-la then_o set_v 40._o over_o the._n 189._o with_o a_o line_n between_o they_o and_o they_o make_v 40_o 189._o and_o so_o much_o amount_v the_o whole_a multiplication_n of_o the_o ⅔_n multiply_v by_o 3_o 7_z and_o 4_o 9_z as_o by_o example_n follow_v and_o thus_o be_v to_o be_v understande_v of_o all_o such_o like_a ¶_o the_o vii_o chapter_n treat_v of_o division_n in_o break_a number_n note_v that_o in_o division_n of_o break_a number_n you_o must_v set_v your_o divisor_n down_o first_o next_o unto_o the_o left_a hand_n and_o the_o dividende_n or_o number_n which_o be_v to_o be_v divide_v always_o toward_o the_o right_a hand_n and_o then_o multiply_v across_o wise_a that_o be_v to_o say_v the_o numeratour_n of_o your_o divisour_n by_o the_o denominator_fw-la of_o the_o dividende_n and_o the_o producte_v be_v the_o denominatour_n which_o afterward_o shall_v be_v your_o divisour_n and_o likewise_o you_o must_v multiply_v the_o denominatour_n of_o your_o first_o noumber_n that_o be_v to_o say_v of_o your_o divisour_n by_o the_o numeratour_n of_o the_o dividende_n which_o afterward_o shall_v be_v the_o dividende_n and_o that_o must_v be_v set_v over_o the_o cross_n and_o the_o denominatour_n under_o the_o cross_n then_o shall_v you_o divide_v the_o numeratour_n by_o the_o denominatour_n if_o any_o may_v be_v divide_v if_o not_o you_o must_v abreviate_v they_o as_o hereafter_o by_o example_n shall_v more_o plain_o appear_v 1._o if_o you_o will_v divide_v ¾_n by_o ⅔_n you_o must_v set_v the_o divisour_n which_o be_v ⅖_n next_o to_o the_o left_a hand_n and_o the_o dividende_n ¾_n toward_o your_o right_a hand_n with_o a_o cross_n between_o they_o as_o may_v appear_v by_o this_o example_n in_o the_o margente_fw-la then_o you_o shall_v multiply_v the_o numer_n at_o or_o of_o the_o ⅔_n which_o be_v 2._o by_o the_o denominator_fw-la of_o the_o ¾_n which_o be_v 4._o and_o thereof_o come_v 8._o which_o be_v your_o new_a divison_n set_v that_o 8._o under_o the_o 〈…〉_o osse_fw-la as_o the_o denominator_fw-la then_o multiply_v the_o numerator_n of_o the_o dividende_n that_o be_v to_o say_v of_o the_o ¾_n which_o be_v 3._o by_o the_o denominator_fw-la of_o the_o divisour_n that_o be_v to_o wit_n of_o the._n ⅔_n which_o be_v 3._o set_v that_o over_o the_o cross_n and_o it_o be_v 9_o for_o the_o numerator_n which_o be_v now_o the_o dividende_n or_o number_n to_o be_v divide_v then_o final_o you_o shall_v divide_v 9_o by_o 8._o and_o thereof_o come_v into_o the_o quotient_a 1._o 2_o 8_o and_o so_o often_o time_n be_v ⅔_n contain_v in_o ¾_n as_o do_v appear_v before_o in_o the_o margente_fw-la but_o in_o case_n you_o will_v divide_v ⅔_n by_o ¾_n you_o must_v likewise_o set_v your_o divisor_n ¾_n next_o to_o your_o left_a hand_n as_o be_v before_o say_v and_o then_o proceed_v as_o be_v above_o declare_v &_o you_o shall_v find_v that_o ⅔_n divide_v by_o ¾_n bring_v into_o y_o e_o quotient_fw-fr 2_o 9_z which_o can_v not_o be_v divide_v nor_o abbrevy_v wherefore_o it_o appear_v that_o ⅔_n divide_v by_o ¾_n bring_v but_o 2_o 9_z of_o one_o unity_n into_o the_o quotient_a as_o do_v appear_v 2._o likewise_o if_o you_o will_v divide_v a_o break_a number_n by_o a_o whole_a number_n or_o else_o a_o whole_a number_n by_o a_o break_a as_o to_o divide_v ¾_n by_o 13._o you_o shall_v put_v 1._o under_o 13._o and_o it_o will_v be_v 13_o 1_z which_o be_v your_o divisor_n set_v y_o it_o towards_o your_o left_a hand_n and_o then_o multiply_v 13._o by_o 4._o accord_v to_o the_o first_o division_n &_o thereof_o come_v 52._o for_o the_o denominator_fw-la set_v that_o under_o y_fw-fr e_fw-la cross_n &_o multiply_v 3._o by_o 1._o which_o be_v 3._o for_o the_o numerator_n that_o set_v over_o the_o cross_n and_o it_o be_v 3_o 52_o as_o appear_v in_o the_o margin_n but_o if_o you_o will_v divide_v 13._o by_o ¾_n than_o set_v the_o ¾_n next_o your_o left_a hand_n and_o put_v one_o under_o 13._o as_o in_o the_o last_o example_n &_o it_o be_v ●_o 3_o set_z y_z t_z towards_o your_o right_a hand_n thus_o as_o appear_v in_o the_o margin_n and_o then_o work_v according_a to_o y_z e_z doctrine_n of_o the_o first_o division_n &_o you_o shall_v find_v that_o 13._o be_v divide_v by_o ¾_n bring_v into_o y_o e_o quotient_fw-fr 52_o 4_o then_o divide_v 52._o by_o 3._o and_o thereof_o come_v 17._o ●_o 3_o and_o so_o oftentimes_o be_v ¾_n contain_v in_o 13._o as_o do_v appear_v 3._o and_o if_o you_o will_v divide_v whole_a number_n by_o whole_a number_n and_o break_a or_o else_o whole_a number_n and_o break_a by_o whole_a number_n as_o to_o divide_v 20._o by_o 5._o ⅚_n you_o shall_v reduce_v 5._o ⅚_n into_o his_o break_a by_o y_z e_z sixth_o reduction_n &_o it_o make_v 35_o ●_o for_o your_o divisor_n than_o put_v 1._o under_o 20._o and_o it_o will_v be_v 20_o 1_o then_o shall_v you_o multiply_v 35._o by_o 1._o and_o 20._o by_o 6._o as_o be_v teach_v in_o the_o other_o division_n and_o you_o shall_v find_v 220_o 3_o then_o divide_v 12._o by_o 35._o and_o you_o shall_v find_v in_o your_o quotient_a 3._o 3_o ●_o &_o so_o many_o time_n be_v 5._o ●_o 6_o contain_v in_o 20._o as_o in_o the_o margin_n do_v appear_v but_o if_o you_o will_v divide_v 5._o 3_o 6_z by_o 20._o you_o must_v divide_v 35._o by_o 120._o which_o you_o can_v not_o wherefore_o you_o shall_v abbreviate_v 35_o 120_o and_o thereof_o come_v 7_z 24._o 4._o if_o you_o will_v divide_v a_o break_a number_n by_o whole_a number_n and_o break_a or_o else_o a_o whole_a number_n and_o break_a by_o a_o
the_o ¼_n of_o the_o same_o product_n that_o be_v to_o say_v of_o 16._o s._n 4._o d._n and_o that_o bring_v 4._o shill_n 1._o d._n these_o two_o sum_n add_v together_o do_v make_v 20._o s._n 5._o d._n and_o so_o much_o be_v the_o 49._o yard_n worth_n at_o 5._o d._n the_o yard_n for_o 7._o d._n take_v the_o ⅓_n and_o the_o ¼_n of_o the_o whole_a sum_n which_o be_v to_o be_v multiply_v and_o add_v they_o together_o that_o be_v to_o say_v for_o 4._o d._n the_o 〈◊〉_d and_o for_o 3._o d._n the_o ¼_n because_o 4._o d._n be_v the_o 〈◊〉_d of_o 12._o d._n and_o 3._o d._n be_v the_o ¼_n as_o in_o the_o second_o example_n before_o do_v appear_v where_o the_o question_n be_v thus_o at_o 7._o d._n the_o yard_n what_o be_v 54._o yard_n worth_n first_o for_o 4._o d._n i_o take_v y_fw-fr e_o 〈◊〉_d of_o 54_o and_o they_o make_v 18._o s._n likewise_o for_o 3._o 〈◊〉_d i_o take_v the_o 〈◊〉_d of_o 54._o and_o they_o be_v 13._o s._n 6._o d._n then_o i_o add_v 18._o s._n and_o 13._o s._n 6_o d._n together_o so_o both_o amount_v to_o ●1_n s._n 6._o 〈◊〉_d and_o so_o much_o be_v the_o 54_o yard_n worth_n at_o 5._o d._n the_o yard_n otherwise_o for_o 7._o d._n take_v first_o the_o ½_n of_o the_o whole_a sum_n for_o 6._o d._n then_o for_o 1._o d._n take_v the_o ⅙_n of_o the_o same_o product_n and_o add_v they_o together_o so_o shall_v you_o have_v the_o like_a sum_n as_o before_o for_o eight_o penny_n you_o must_v first_o take_v ●_o 3_z of_o the_o whole_a sum_n for_o 4._o penny_n and_o another_o ●_o ●_o for_o other_o 4._o d._n and_o add_v they_o together_o as_o in_o the._n 3._o example_n do_v evident_o appear_v where_o the_o question_n be_v thus_o at_o 8._o d._n the_o yard_n what_o be_v 40_o yard_n worth_n first_o for_o 4._o d._n i_o take_v the_o ⅓_n of_o 40._o which_o be_v 13._o s._n 4._o d._n again_o i_o take_v another_o ⅓_n for_o the_o other_o 4_o penny_n which_o be_v also_o 13._o shilling_n &_o 4._o penny_n these_o two_o sum_n be_v add_v together_o do_v make_v 26._o shilling_n 8._o penny_n and_o so_o much_o be_v the_o 40._o yard_n worth_n at_o 8._o penny_n the_o yard_n as_o in_o the_o three_o example_n abovesayd_a do_v appear_v otherways_o for_o eight_o penny_n you_o may_v take_v first_o the_o ½_n of_o the_o whole_a sum_n for_o 6._o d._n then_o for_o 2._o d._n you_o shall_v take_v the_o ●_o 3_z of_o the_o product_n which_o do_v come_v of_o the_o say_a ½_n and_o add_v they_o together_o so_o shall_v you_o have_v likewise_o the_o solution_n to_o the_o question_n as_o in_o the_o same_o three_o example_n of_o 40._o yard_n i_o take_v first_o the_o ½_n of_o 40._o for_o 6._o d._n and_o thereof_o come_v 20._o shil_n then_o for_o 2._o d._n i_o take_v ●_o 3_z of_o the_o say_a product_n that_o be_v to_o say_v of_o 20._o s._n which_o bring_v 6._o 〈◊〉_d 8._o d._n these_o two_o sum_n 20._o s_n and_o 6._o s._n 8._o d._n i_o add_v together_o and_o they_o make_v 26._o s._n 8._o d._n as_o before_o for_o 9_o d._n you_o must_v take_v the_o ●_o 2_o &_o the_o ¼_n of_o the_o whole_a sum_n and_o add_v they_o together_o or_o else_o for_o 6._o d._n take_v first_o ½_n of_o the_o whole_a sum_n then_o for_o 3._o d._n take_v y_o e●_n ●_z 2_z of_o the_o same_o product_n because_o 3._o d._n be_v y_z e_z half_o of_o 6._o d_o and_o 6._o d._n add_v with_o 3._o d._n bring_v 9_o d._n as_o by_o the_o four_o example_n where_o it_o be_v demand_v after_o this_o sort_n at_o 9_o d._n the_o yard_n what_o be_v 73._o yard_n worth_a first_o for_o 6._o d._n i_o take_v the_o ½_n of_o 73._o and_o thereof_o come_v 36._o s._n 6._o d._n then_o for_o 3._o d._n i_o take_v ½_n of_o y_fw-fr e_o same_o 36._o shil_fw-la 6._o d._n which_o be_v 18._o s._n 3._o d._n these_o two_o sum_n do_v i_o add_v together_o &_o they_o make_v 54._o shil_fw-la 9_o d._n as_o in_o y_z e_z say_v four_o example_n be_v evident_a for_o 10._o d._n take_v first_o the_o ½_n then_o y_z e_z ⅓_n of_o the_o whole_a sum_n &_o add_v they_o together_o for_o 11._o ●●take_n first_o ⅓_n for_o 4._o penny_n seconde_o another_o ⅓_n for_o other_o 4._o 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〈◊〉_d the_o gross_a what_o be_v 97_o gross_a first_o the_o ½_n of_o 8._o s._n which_o be_v 4._o s._n be_v set_v apart_o behind_o the_o crooked_a line_n as_o before_o be_v say_v they_o i_o multiply_v y_fw-fr e_fw-la 97_o by_o 4._o saying_n first_o 4._o time_n 7._o be_v 28._o i_o double_v y_fw-fr e_fw-la diget_fw-la number_n 8._o and_o that_o make_v 16_o the_o which_o 16_o i_o do_v
teach_v to_o alligate_v or_o bind_v together_o diverse_a percelles_fw-la of_o sundry_a price_n and_o to_o know_v how_o much_o you_o must_v take_v of_o everye_o parcel_n accord_v to_o the_o number_n of_o the_o question_n example_n 1_o a_o goldsmythe_n have_v three_o sort_n of_o gold_n the_o first_o be_v worth_a thirtye_n crown_n the_o pound_n weyghte_n the_o secende_v be_v worth_a 36_o crown_n and_o the_o three_o be_v worth_a 45._o crown_n and_o of_o these_o three_o sort_n he_o will_v make_v a_o sceptre_n of_o six_o pound_n weight_n which_o be_v worth_a 40_o crown_n the_o pound_n i_o demand_v how_o much_o he_o must_v take_v of_o every_o sort_n answer_v first_o you_o must_v set_v down_o the_o number_n whereof_o you_o will_v make_v the_o alligation_n which_o be_v 30._o 36._o 38_o and_o 45_o orderly_o the_o one_o under_o the_o other_o as_o if_o you_o shall_v make_v of_o they_o a_o addition_n and_o the_o common_a number_n whereunto_o you_o will_v reduce_v they_o shall_v you_o set_v on_o 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and_o there_o will_v remain_v 64●_n which_o do_v note_n unto_o you_o that_o the_o sixth_o person_n have_v the_o ring_n upon_o the_o four_o finger_n and_o upon_o his_o third_o jointe_n but_o note_v that_o when_o you_o have_v make_v your_o substraction_n if_o there_o do_v remain_v a_o cipher_n in_o the_o place_n of_o ten_o that_o be_v to_o say_v in_o the_o second_o place_n you_o must_v then_o abate_v from_o that_o figure_n which_o be_v in_o the_o place_n of_o hundred_o that_o be_v to_o say_v from_o the_o figure_n which_o be_v next_o your_o left_a hand_n &_o that_o be_v worth_a ten_o tenthes_o signifi_v the_o ten_o finger_n as_o if_o there_o shall_v remain_v 703._o you_o must_v say_v that_o the_o sixth_o person_n upon_o his_o ten_o finger_n and_o upon_o his_o three_o joint_a have_v the_o ring_n 3_o and_o after_o the_o same_o manner_n if_o a_o man_n do_v cast_v three_o dice_n you_o may_v know_v the_o point_n of_o every_o one_o of_o they_o for_o if_o you_o do_v cause_n he_o to_o doube_v 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other_o piece_n whatsoever_o and_o geve_v unto_o peter_n 1._o unto_o james_n 2._o and_o unto_o ihon._n 3._o or_o otherwise_o but_o mark_v well_o unto_o which_o of_o they_o you_o have_v 1._o unto_o which_o 2._o and_o unto_o who_o 3._o then_o leving_fw-mi the_o 18._o stone_n before_o they_o that_o be_v ramain_v you_o shall_v absent_v yourself_o from_o their_o sight_n or_o else_o turn_v your_o face_n from_o they_o sai_v thus_o unto_o they_o whosoever_o name_v himself_o a_o king_n for_o every_o stone_n that_o i_o give_v he_o let_v he_o take_v one_o of_o the_o residue_n and_o he_o that_o name_v himself_o a_o duke_n foreverie_a stone_n that_o i_o give_v he_o let_v he_o take_v two_o of_o they_o that_o remain_v and_o he_o that_o call_v himself_o a_o county_n for_o every_o stone_n that_o i_o give_v he_o let_v he_o take_v four_o this_o be_v do_v approache_v near_o they_o and_o mark_v towe_fw-mi man●e_a stone_n be_v remain_v and_o know_v this_o that_o there_o can_v not_o remain_v any_o other_o 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the_o duke_n james_n the_o king_n and_o john_n the_o county_n and_o so_o of_o the_o other_o as_o by_o this_o table_n do_v plain_o appear_v finis_fw-la ¶_o here_o begin_v the_o table_n of_o this_o book_n ¶_o the_o content_n of_o the_o chaptter_n of_o the_o first_o part_n the_o definition_n of_o number_n fol._n 1_o numeration_n in_o whole_a number_n fol._n eodem_fw-la chap._n 1._o addition_n in_o whole_a number_n ca._n 1._o foe_n 6._o substraction_n cap_a 3._o fol._n 9_o multiplication_n capi_fw-la 4._o fol._n 12._o division_n capi_fw-la 5._o fol._n 21._o progression_n arithmetical_a and_o geometrical_a capi_fw-la 6._o fol._n 32._o the_o rule_n of_o three_o call_v the_o golden_a rule_n and_o the_o back_a rule_n unto_o all_o these_o be_v add_v their_o profess_v ca._n 7._o foe_n 34_o ¶_o the_o content_n of_o the_o second_o part_n the_o first_o chapter_n show_v what_o a_o fraction_n or_o a_o break_a number_n be_v fol._n 43._o reduction_n of_o fraction_n capi_fw-la 2._o fol._n 44._o 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5._o fol._n 113._o question_n of_o the_o reduce_a of_o paume_n of_o genes_n into_o yard_n ca._n 6._o fol._n 115._o question_n of_o merchandise_n sell_v by_o weight_n with_o brief_a rule_n for_o the_o same_o chapter_n 7._o fol._n 116._o question_n of_o tare_n and_o allowance_n cap_n 8._o fol._n 119._o question_n do_v by_o the_o double_a rule_n of_o three_o cop_z 9_o fol._n 122._o question_n of_o the_o rule_n of_o fellowship_n chapter_n 10._o fol._n 124._o question_n of_o barter_v cap._n 11._o foe_n 138._o question_n of_o the_o exchaunge_n chapter_n 12._o fol._n 146._o question_n of_o the_o rule_n of_o alligation_n chapter_n 13._o fol._n 148._o question_n of_o the_o rule_n of_o falsehood_n chapter_n 14._o fol._n 152._o question_n of_o sport_n and_o pastime_n do●n_v by_o number_n finis_fw-la 〈…〉_o of_o 〈…〉_o 〈…〉_o article_n mix_v or_o compound_v a_o note_n progression_n arithmeticalle_n 5._o 6._o progression_n geometrical_a regul_n 1._o 3._o 6._o a_o rule_n