Selected quad for the lemma: book_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
book_n	divers_a	follow_v	great_a	109	3	2.1245	3	false

Text snippets containing the quad

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

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

increase_v or_o diminish_v by_o some_o common_a number_n from_o whence_o divers_a mechanical_a man_n do_v use_v and_o acknowledge_v it_o as_o a_o maxim_n in_o their_o trade_n in_o set_v out_o structure_n and_o regulate_v their_o work_n in_o perfect_a square_n after_o this_o manner_n take_v a_o long_a line_n as_o your_o occasion_n require_v of_o which_o take_v 3_o equal_a part_n at_o pleasure_n than_o 4_o such_o succeed_a part_n and_o from_o thence_o 5_o so_o the_o line_n be_v now_o divide_v into_o 12_o equal_a part_n by_z 3_o 4_o &_o 5._o these_o part_n extend_v will_v enclose_v a_o right_a angle_a triangle_n as_o a._n b._n c_o rectangle_v at_o b._n and_o proportional_a in_o all_o the_o part_n as_o by_o the_o first_o book_n 19_o prop._n trigon_n this_o right_a angle_n find_v you_o may_v describe_v a_o parallelagram_n or_o a_o quadrangle_n if_o you_o please_v as_o c.d.e.f._n and_o a.b.d.e._n or_o a.b.c.f._n etc._n etc._n problem_n iii_o the_o three_o side_n of_o any_o right_n line_v triangle_n be_v give_v to_o find_v the_o superficial_a content_n thereof_o without_o know_v the_o perpendicular_a the_o theorem_a from_o half_a the_o sum_n of_o the_o 3_o side_n subtract_v each_o particular_a side_n the_o total_a of_o their_o mutual_a product_n increase_v by_o half_a the_o sum_n of_o the_o 3_o side_n the_o quadrate_n root_n of_o that_o product_n will_v produce_v the_o superficial_a content_n suppose_v a_o triangle_n with_o all_o the_o three_o side_n know_v or_o find_v by_o any_o true_a measure_n as_o admit_v in_o foot_n and_o the_o dimension_n these_o viz._n 15_o f._n 20_o f_o and_o 25_o foot_n the_o sum_n of_o they_o be_v 60_o f_o the_o half_a 30_o f._n from_o whence_o subtract_v the_o particular_a side_n the_o difference_n will_v be_v 5.10.15_o these_o by_o multiplication_n continue_v will_v produce_v 750_o that_o product_v again_o increase_v by_o the_o sum_n of_o half_a the_o side_n which_o here_o be_v 30_o f._n will_v produce_v 22500._o the_o quadrat_fw-la root_n of_o it_o be_v 150._o the_o number_n of_o square_a foot_n contain_v in_o the_o superficies_n of_o that_o triangle_n require_v have_v here_o the_o superficial_a content_n of_o this_o triangle_n by_o the_o first_o problem_n before_o you_o may_v easy_o find_v the_o perpendicular_a for_o 150_o foot_n be_v but_o half_a the_o long_a square_n make_v of_o the_o basis_n and_o perpendicular_a then_o 300_o the_o whole_a square_n divide_v by_o 25_o the_o basis_n of_o this_o triangle_n the_o quotient_n will_v be_v 12_o foot_n for_o the_o perpendicular_o height_n and_o so_o in_o any_o long_a square_n the_o superficial_a content_n divide_v by_o the_o long_a side_n will_v produce_v the_o short_a and_o divide_v by_o the_o lesser_a side_n will_v discover_v the_o great_a if_o in_o multiply_v or_o divide_v any_o square_a figure_n or_o number_n that_o happen_v in_o fraction_n you_o must_v consider_v their_o side_n for_o ½_n multiply_v by_o a_o unite_v will_v produce_v but_o ½_n and_o ½_n by_o ½_n be_v but_o ¼_n of_o that_o square_n as_o by_o the_o first_o and_o second_o little_a quadrat_n make_v of_o the_o line_n a._n b._n in_o the_o scheme_n pag._n 109._o to_o which_o book_n and_o parag._n i_o refer_v you_o and_o to_o my_o first_o book_n of_o trigon_n prop._n 31._o the_o 3_o side_n of_o any_o plain_a triangle_n give_v to_o find_v the_o perpendicular_a and_o in_o what_o part_n of_o the_o basis_n it_o will_v fall_v the_o theorem_fw-la square_n the_o 3_o give_v side_n add_v the_o 2_o great_a square_n together_o and_o from_o that_o sum_n subtract_v the_o less_o h_o lf_a the_o remainder_n divide_v by_o the_o basis_n or_o great_a side_n the_o quotient_n will_v be_v the_o great_a segment_n as_o for_o example_n admit_v the_o 3_o side_n of_o a_o plain_a triangle_n give_v 30_o 40._o and_o 50._o the_o basis_n which_o the_o perpendicular_a will_v divide_v into_o two_o segment_n in_o this_o 32_o and_o 18._o make_v 2_o right_a angle_a triangle_n now_o with_o either_o of_o the_o two_o side_n find_v the_o three_o as_o before_o which_o according_a to_o the_o state_n of_o the_o question_n will_v prove_v 24._o the_o thing_n require_v problem_n iu._n the_o dimension_n of_o any_o plain_a right_a angle_a superficies_n and_o first_o of_o board_n by_o square_a measure_n as_o a_o foot_n or_o 12_o inch_n who_o quadrature_n contain_v 144_o inch_n the_o theorem_fw-la the_o superficial_a content_n of_o all_o rectangled_a figure_n be_v find_v by_o the_o multiplication_n of_o any_o two_o side_n by_o one_o another_o that_o enclose_v the_o right_a angle_n a_o foot_n be_v here_o allow_v the_o integer_fw-la by_o which_o board_n glass_n etc._n etc._n be_v usual_o measure_v every_o one_o of_o these_o dimension_n be_v divide_v into_o 12_o equal_a part_n call_v inch_n and_o be_v the_o next_o immediate_a fraction_n to_o that_o integer_fw-la as_o by_o the_o scheme_n pag._n 103._o arith._n do_v appear_v now_o suppose_v a_o stock_n of_o board_n to_o be_v measure_v in_o number_n 20._o each_o board_n be_v in_o length_n 18_o foot_n &_o in_o breadth_n 10_o inch_n the_o length_n be_v in_o inch_n 216._o which_o multiply_v by_o 10_o show_v the_o superficial_a content_n to_o be_v 2160_o inch_n that_o divide_v by_o 144_o the_o number_n of_o square_a inch_n in_o one_o foot_n there_o will_v be_v find_v in_o each_o board_n 15_o square_a foot_n and_o consequent_o in_o the_o 20_o board_n 300_o foot_n the_o superficial_a content_n of_o the_o whole_a stock_n require_v if_o the_o board_n be_v taper_v as_o most_o stock_n be_v the_o common_a custom_n be_v to_o take_v the_o breadth_n in_o the_o middle_n or_o the_o arithmetical_a mean_n that_o be_v half_a the_o breadth_n from_o the_o sum_n of_o both_o end_n as_o admit_v the_o breadth_n of_o the_o last_o stock_n have_v be_v 9_o inch_n at_o the_o one_o end_n and_z 11_o at_o the_o great_a or_o 8_o inch_n and_o 12._o the_o sum_n have_v be_v 20_o in_o either_o the_o half_a 10_o inch_n as_o before_o admit_v there_o be_v 24_o pane_n of_o glass_n propound_v to_o be_v measure_v each_o pane_n contain_v in_o length_n 22_o ½_n inch_n in_o breadth_n 14_o ½_n inch_n and_o the_o superficial_a content_n be_v require_v in_o foot_n the_o breadth_n and_o length_n here_o give_v convert_v into_o half_a inch_n produce_v 29_o and_o 45_o the_o square_a of_o they_o be_v 1305_o half-squared_a inch_n in_o each_o pane_n which_o multiply_v by_o 24_o the_o number_n of_o pane_n the_o whole_a product_n be_v 31320._o and_o since_o half_o the_o root_n or_o side_n of_o any_o insquared_a be_v bu●_n ¼_n as_o by_o the_o demonstration_n of_o fraction_n pag._n 109._o divide_v 31320_o by_o 4_o the_o quotient_n will_v be_v 7830_o square_a inch_n which_o divide_v by_o 144_o the_o quotient_n will_v be_v then_o 54_o ⅜_n foot_n the_o true_a superficial_a content_n of_o all_o the_o glass_n require_v by_o decimal_n divers_a question_n that_o fall_v in_o fraction_n may_v be_v ready_o perform_v by_o artificial_a number_n as_o thus_o the_o length_n of_o one_o pane_n here_o propound_v be_v 1_o foot_n 10_o ½_n inch_n the_o breadth_n 1_o foot_n 2_o ½_n inch_n for_o these_o fraction_n see_v the_o first_o section_n of_o the_o three_o book_n and_o five_o table_n chapter_n 7._o where_n you_o may_v find_v the_o decimall_n for_o 10_o inch_n to_o 5_o place_n .83333_o and_o for_o the_o ½_n inch_n or_o 5_o 10_o this_o 04167_o the_o sum_n of_o they_o .875_o and_o for_o 2_o ½_n inch_n these_o .16667_o and_o .04167_o the_o total_a .20834_o before_o these_o prefix_v their_o integer_n and_o then_o their_o number_n will_v stand_v thus_o 1.20834_o and_o 1.875_o the_o product_n of_o these_o be_v 22656375_o which_o multiply_v by_o the_o number_n of_o pane_n viz._n 24_o produce_v 54.3753000_o which_o be_v 54_o 3753_o 10000_o foot_n and_o exceed_v the_o former_a not_o 4_o 10000_o and_o that_o by_o reason_n of_o the_o irrational_a fraction_n which_o can_v be_v exact_o true_a yet_o the_o great_a number_n will_v have_v the_o lesser_a error_n problem_n v._o for_o board_v a_o room_n there_o be_v a_o gallery_n contain_v in_o length_n 271_o foot_n in_o breadth_n 35_o ½_n foot_n how_o many_o foot_n of_o board_n will_v floor_n this_o room_n to_o find_v how_o many_o superficial_a foot_n this_o room_n contain_v will_v be_v discover_v by_o the_o last_o theorem_fw-la for_o 271_o foot_n multiply_v by_o 35_o ½_n foot_n that_o be_v by_o 71_o or_o more_o compendious_o by_o increase_a 271_o by_o 7_o according_a to_o my_o former_a rule_n as_o in_o pag._n 38._o which_o will_v produce_v 19241_o half_a foot_n and_o that_o divide_a by_o 2_o as_o by_o the_o demonstration_n in_o fraction_n pag._n 109._o the_o true_a superficial_a content_n will_v be_v 9620_o ½_n foot_n and_o here_o you_o be_v to_o consider_v in_o all_o such_o case_n there_o will_v be_v loss_n in_o their_o breadth_n

once_o before_o attend_v the_o press_n and_o now_o you_o with_o the_o regulation_n of_o commerce_n and_o trade_n accommodate_v to_o all_o ingenious_a capacity_n prescribe_v rule_n be_v equal_o necessary_a to_o all_o for_o those_o who_o know_v not_o how_o to_o buy_v will_v be_v ignorant_a how_o to_o sell_v or_o how_o to_o borrow_v that_o know_v not_o how_o to_o lend_v beside_o these_o here_o be_v divers_a geometrical_a proposition_n appertain_v to_o manufacture_n trade_n and_o some_o for_o the_o surveyer_n soldier_n engineer_n and_o accountant_n all_o of_o good_a use_n and_o convenient_a for_o the_o illustration_n of_o my_o former_a book_n of_o arithmetic_n proportion_v with_o line_n and_o number_n compose_v more_o for_o speculation_n than_o practice_n and_o this_o design_v more_o for_o practice_n then_o the_o theory_n whereby_o none_o shall_v be_v delude_v with_o word_n nor_o deviate_v with_o doubtful_a direction_n in_o diversity_n of_o ambiguous_a tract_n or_o bewilder_v in_o maze_n out_o of_o which_o these_o rule_n shall_v be_v your_o conduct_n if_o you_o please_v to_o accept_v they_o for_o a_o guide_n in_o witness_n whereof_o i_o give_v you_o here_o my_o hand_n by_o the_o subscription_n of_o your_o benevolent_a friend_n thomas_n willsford_n to_o the_o tyron_n of_o merchant_n account_n short_a advertisement_n as_o to_o the_o debtor_n and_o creditor_n with_o some_o precaution_n to_o prevent_v mistake_n for_o the_o right_a use_n of_o it_o thou_o have_v here_o present_v thou_o for_o thy_o practice_n what_o be_v real_o promise_v in_o the_o title_n viz._n merchant_n account_v epitomise_v yet_o be_v it_o so_o furnish_v with_o variety_n of_o useful_a practical_a and_o necessary_a resolution_n as_o may_v render_v it_o to_o be_v nothing_o deficient_a for_o thy_o initiation_n into_o the_o famous_a art_n of_o accountantship_n by_o way_n of_o debtor_n and_o creditor_n here_o be_v both_o the_o introductory_n part_n and_o practical_a so_o fit_v to_o the_o mean_a capacity_n 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proper_a place_n in_o the_o journal_n there_o to_o be_v insert_v their_o true_a debtor_n and_o creditor_n the_o use_n of_o which_o book_n and_o all_o other_o necessary_a thou_o have_v in_o the_o introduction_n page_n 206_o 207_o and_o what_o volume_n they_o ought_v to_o be_v of_o now_o before_o you_o proceed_v to_o put_v any_o thing_n in_o practice_n you_o be_v desire_v to_o amend_v the_o errata_n commit_v in_o the_o print_n of_o this_o deb._n &_o cr._n some_o of_o they_o be_v occasion_v by_o absence_n from_o the_o press_n and_o the_o unusual_a print_v thing_n of_o this_o nature_n the_o great_a be_v the_o misfoljo_n which_o be_v insufferable_a in_o book_n of_o this_o kind_n by_o reason_n of_o the_o several_a referring_n the_o journal_n &_o leaguer_n have_v to_o each_o other_o true_a place_n or_o folio_fw-la you_o shall_v find_v the_o second_o folio_n in_o order_n of_o the_o leaguer_n to_o be_v by_o the_o printer_n number_v folio_n 1_o the_o reason_n be_v because_o that_o stock_n which_o be_v there_o place_v be_v in_o the_o original_a copy_n in_o folio_n 1_o but_o by_o reason_n in_o the_o print_n it_o can_v not_o be_v bring_v into_o one_o folio_n it_o be_v put_v into_o one_o by_o itself_o bear_v its_o original_a folio_n by_o reason_n of_o its_o several_a reference_n to_o the_o journal_n which_o in_o all_o place_n have_v it_o note_v in_o fol._n 1_o the_o rest_n of_o the_o error_n you_o have_v in_o the_o errata_fw-la follow_v errata_fw-la the_o page_n 203_o 204_o 205_o 206_o 207_o 208_o 209._o shall_v be_v entitle_v a_o introduction_n to_o merchant_n account_n p._n 217._o line_n 7._o deal_n creditor_n in_o fol._n 1._o of_o the_o journal_n l._n 7._o deal_n to_o l._n 3._o in_o the_o 2._o column_n it_o shall_v be_v ●_o 1._o fol._n 4._o in_o the_o first_o l._n of_o the_o 4_o last_o read_v or_o for_o our_o but_o that_o which_o be_v fol._n 2._o in_o the_o 6._o fol._n shall_v be_v 6._o in_o line_n 5._o in_o the_o col_fw-fr of_o penny_n for_o 8._o r._n 4_o d._n l._n 21._o for_o 1659._o r._n 1658._o l._n 6._o in_o the_o col_fw-fr of_o penny_n r._n 8_o d._n that_o which_o be_v fol._n 7._o in_o order_n be_v f._n 3._o and_o for_o that_o 3_o r._n f._n 7._o &_o in_o dito_fw-la f._n l._n 19_o just_a against_o a.b._n in_o the_o col_fw-fr of_o l._n s._n d._n insert_v 1_o l._n 2_o s._n 8_o d._n l._n 22._o just_a against_o middlesex_n for_o 1_o l._n 2_o s._n 8_o d._n r._n 12_o l._n l._n 26._o just_a against_o a.m._n in_o the_o col_fw-fr of_o l._n s._n d._n for_o 12_o l._n r._n 200_o l._n f._n 9_o l._n 1._o for_o foe_n 1._o for_o l._n 6._o for_o vigmys_n r._n virginia_n f._n 10._o in_o the_o col_fw-fr of_o l_n for_o 430_o l._n r._n 304_o l._n l._n 11._o in_o the_o col_fw-fr of_o l._n for_o 3_o l._n r._n 4_o l._n in_o the_o leaguer_n fol._n 4._o debtor_n side_n l._n 3._o in_o column_n 2._o on_o the_o debtor_n side_n to_o the_o left_a hand_n 7._o deal_n 3._o fol._n 4._o cr._n side_n col_fw-fr 2._o to_o the_o left_a hand_n for_o 8._o r._n 9_o in_o l._n 4._o f._n 6._o the_o total_a and_o last_o sum_n of_o profit_n and_o loss_n on_o the_o debtor_n side_n shall_v be_v 588_o l._n 19_o s._n 4_o d._n f._n 9_o col_fw-fr 2._o the_o debtor_n side_n l._n 1._o deal_n 5._o reader_n although_o the_o benefit_n of_o my_o country_n and_o my_o own_o recreation_n have_v put_v i_o upon_o the_o study_n and_o publish_v of_o these_o curiosity_n for_o the_o knowledge_n of_o these_o art_n wherein_o all_o thing_n can_v be_v so_o plain_a but_o that_o there_o may_v be_v some_o need_n of_o the_o further_a assistance_n of_o a_o artist_n i_o here_o make_v bold_a to_o acquaint_v thou_o with_o the_o perfection_n of_o mr._n nathanael_n sharp_a who_o write_v all_o the_o usual_a hand_n write_v in_o this_o nation_n the_o art_n of_o arithmetic_n integer_n and_o fraction_n and_o decimall_n merchant_n account_n also_o youth_n board_v and_o make_v fit_a either_o for_o foreign_a or_o domestic_a employment_n he_o live_v in_o chain_n alley_n in_o crutchet-friar_n to_o his_o honour_a uncle_n m._n thomas_n willsford_n etc._n etc._n what_o sacred_a apathy_n confirm_v your_o breast_n and_o in_o loud_a storm_n rock_n you_o to_o peaceful_a rest_n calm_a study_n and_o the_o gentle_a art_n you_o ply_v no_o outward_a air_n untune_n your_o harmony_n resolve_v how_o bad_a or_o mad_a soever_o we_o be_v not_o to_o revolt_v from_o your_o love_a industry_n the_o great_a archimedes_n '_o among_o blood_n and_o rage_n smoke_n and_o the_o cry_n of_o every_o sex_n and_o age_n smile_v on_o the_o face_n of_o horror_n and_o be_v find_v trace_v his_o mystic_a figure_n on_o the_o ground_n thus_o he_o and_o you_o seem_v to_o look_v down_o on_o fate_n for_o it_o be_v not_o life_n but_o time_n we_o ought_v to_o rate_n which_o you_o improve_v to_o miracle_n each_o sand_n atte_v the_o labour_n of_o your_o head_n or_o hand_n while_o art_n arcana_fw-la and_o new_a world_n you_o find_v the_o bless_a discovery_n of_o a_o trav'le_a mind_n nor_o be_v you_o to_o one_o science_n only_o know_v for_o every_o muse_n all_o phoebus_n be_v your_o own_o edward_n boteler_n a_o index_n to_o the_o first_o book_n divide_v into_o three_o part_n part_n i._o of_o wholesale_n and_o retail_n without_o gain_n or_o loss_n or_o the_o contrary_a whether_o relate_v to_o the_o whole_a parcel_n or_o part_n or_o to_o any_o interest_n per_fw-la cent_n per_fw-la ann_n as_o in_o page_n 1._o to_o the_o 15._o proposition_n equation_n of_o payment_n p._n 19_o prop._n 16._o barter_n with_o the_o dirivation_n p._n 20._o pr._n 17._o &_o 18._o tear_v neat_n tret_fw-la and_o cloff_n p._n 22._o pr._n 19_o 20_o &_o 21._o exchange_n of_o foreign_a coin_n assurance_n and_o return_v of_o money_n p._n 27._o pr._n 22._o to_o 28._o reduction_n of_o weight_n

inch_n that_o multiply_v by_o 4_o will_v produce_v 154_o square_a inch_n for_o the_o superficial_a content_n require_v but_o not_o exact_o true_a art_n be_v in_o all_o such_o case_n defective_a as_o be_v say_v before_o 2._o to_o find_v the_o superficial_a content_n of_o any_o globe_n as_o thus_o multiply_v the_o sphere_n diameter_n with_o the_o circumference_n of_o the_o same_o circle_n the_o product_n will_v be_v the_o thing_n require_v as_o in_o the_o last_o example_n where_o 7_o be_v diameter_n 22_o will_v be_v the_o circumference_n the_o product_n of_o these_o be_v 154_o as_o before_o 3._o to_o measure_v the_o superficies_n of_o any_o sphere_n multiply_v the_o square_n make_v of_o the_o circumference_n by_o 7_o and_o divide_v the_o product_n by_o 22_o the_o quotient_n will_v be_v your_o desire_n as_o for_o example_n admit_v the_o circumference_n propound_v be_v 44_o who_o square_a be_v 1936_o which_o multiply_v by_o 7_o produce_v 13552_o that_o divide_v by_o 22_o the_o quotient_n 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the_o semidiameter_n those_o multiply_v together_o will_v produce_v the_o solid_a content_n of_o the_o globe_n as_o for_o example_n admit_v a_o sphere_n to_o be_v measure_v who_o diameter_n be_v 7_o inch_n the_o convex_a superficies_n will_v be_v find_v as_o before_o 154_o inch_n the_o semidiameter_n of_o this_o circle_n be_v 3_o ½_n or_o 7_o 2_o take_v ⅓_n part_n of_o either_o as_o of_o the_o fraction_n here_o which_o will_v be_v 7_o 6_o this_o multiply_v by_o 154_o produce_v 179_o ⅔_n inch_n the_o solid_a content_n of_o this_o globe_n require_v 2._o the_o diameter_n of_o a_o globe_n be_v give_v multiply_v the_o cube_fw-la make_v of_o that_o diameter_n by_o 11_o and_o divide_v the_o product_n by_o 21_o the_o quotient_n be_v the_o solid_a content_n example_n in_o the_o last_o question_n 7_o be_v the_o diameter_n propound_v who_o cube_fw-la be_v 343_o that_o multiply_v by_o 11_o produce_v 3773_o and_o divide_v by_o 21_o the_o quotient_n will_v prove_v 179_o 14_o 21_o or_o ⅔_n the_o solid_a content_n of_o this_o globe_n 3._o by_o the_o circumference_n of_o any_o orb_n find_v the_o solid_a content_n as_o thus_o take_v half_a the_o circumference_n and_o multiply_v it_o cubical_o and_o that_o cube_fw-la by_o 49_o then_o divide_v that_o product_n by_o 363_o the_o quotient_n give_v the_o solid_a content_n require_v example_n 44_o inch_n be_v a_o circumference_n give_v the_o half_a be_v 22_o the_o cube_fw-la of_o it_o will_v be_v 10648_o which_o multiply_v by_o 49_o produce_v 521752_o this_o divide_v 363_o the_o quotient_n will_v be_v 1437_o ●21_n 363_o or_o ⅓_n and_o so_o many_o solid_a inch_n be_v contain_v in_o the_o globe_n if_o more_o exactness_n or_o ample_a satisfaction_n shall_v be_v require_v herein_o see_v archimedes_n the_o dimensione_n circuli_fw-la probeme_v ix_o the_o diameter_n weight_n and_o magnitude_n of_o a_o globe_n be_v give_v with_o the_o diameter_n of_o another_o to_o find_v the_o weight_n or_o solid_a content_n of_o that_o orb_n the_o theorem_fw-la all_o globe_n and_o sphere_n be_v in_o proportion_n one_o to_o another_o as_o be_v the_o cubicall_a body_n compose_v of_o their_o diameter_n suppose_v 7_o inch_n be_v the_o diameter_n of_o a_o globe_n propound_v and_o the_o solid_a content_n of_o it_o 179_o ⅔_n or_o 539_o 3_o and_o the_o diameter_n of_o another_o orb_n 14_o inch_n who_o solid_a content_n be_v require_v in_o the_o same_o part_n the_o cube_n of_o 7_o be_v 343_o and_o the_o cube_n of_o 14_o inch_n be_v 2744_o the_o cubicall_a content_n of_o the_o first_o be_v give_v 539_o 3_o which_o multiply_v by_o 2744_o produce_v 1479016_o 3_o and_o this_o divide_a by_o 343_o the_o quotient_n will_v be_v 1437_o 343_o 1029_o or_o ⅓_n as_o in_o the_o table_n do_v appear_v and_o also_o in_o the_o former_a problem_n if_o the_o weight_n of_o the_o first_o have_v be_v know_v and_o both_o their_o diameter_n the_o weight_n of_o the_o second_o will_v have_v be_v discover_v in_o the_o same_o manner_n as_o be_v the_o magnitude_n and_o if_o the_o diameter_n of_o the_o one_o have_v be_v know_v with_o the_o weight_n or_o solid_a content_n of_o both_o the_o other_o will_v have_v be_v find_v in_o proportion_n of_o their_o cube_n as_o shall_v be_v illustrate_v by_o the_o follow_a proposition_n the_o three_o part_n consist_v of_o military_a proposition_n proposition_n i._n by_o the_o diameter_n and_o weight_n of_o any_o bullet_n know_v with_o the_o diameter_n of_o another_o to_o find_v the_o second_o bullet_n weight_n it_o be_v a_o common_a receive_v opinion_n that_o a_o iron_n bullet_n of_o 4_o inch_n diameter_n will_v weigh_v 9_o lb_n which_o if_o it_o be_v true_a and_o that_o all_o iron_n will_v weigh_v alike_o in_o equal_a magnitude_n then_o this_o rule_n be_v a_o positive_a truth_n viz._n as_o the_o cube_fw-la of_o 4_o be_v to_o 9_o lb_v weight_n so_o shall_v the_o cube_fw-la of_o any_o iron_n bullet_n diameter_n be_v proportionable_a to_o the_o weight_n thereof_o according_a to_o the_o last_o theorem_fw-la as_o 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