Selected quad for the lemma: end_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
end_n	foot_n	half_a	inch_n	1,859	5	11.0254	5	true

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

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divide_v by_o 14_o the_o quotient_n be_v the_o vulgar_a area_n or_o thus_o the_o semidiameter_n multiply_v by_o half_a the_o circumference_n be_v the_o suppose_a quadrature_n or_o the_o circumference_n square_v and_o divide_v by_o 12_o 4_o 7_o will_v be_v equal_a unto_o the_o superficial_a content_n of_o the_o give_v circle_n these_o 3_o do_v err_v and_o yet_o agree_v in_o one_o 1._o in_o the_o last_o demonstration_n e_o f_o g_o h_n be_v a_o circle_n propound_v who_o superficies_n be_v require_v or_o the_o near_a square_n in_o content_n unto_o it_o the_o diameter_n e_o g_z 14_o square_v be_v 196_o which_o multiply_v by_o 11_o produce_v 2156_o and_o divide_v by_o 14_o the_o quotient_n will_v be_v 154_o the_o superficial_a content_n require_v of_o the_o quadrangle_n i_o k_n l_o m_o the_o side_n of_o which_o square_a be_v the_o root_n of_o 154_o that_o be_v 12_o ⅖_n i_o k._n ii_o for_o the_o second_o theorem_fw-la i_o take_v again_o the_o same_o circle_n the_o half_a of_o which_o 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cipher_n at_o pleasure_n 71_o must_v be_v then_o divisor_n the_o quotient_n will_v be_v 31408_o which_o proportional_n may_v be_v make_v more_o numerous_a if_o occasion_n require_v but_o first_o suppose_v 17_o be_v a_o diameter_n propound_v who_o circumference_n be_v require_v in_o a_o decimal_n fraction_n the_o proportion_n will_v be_v as_o 10000_o the_o suppose_a diameter_n be_v unto_o 17_o the_o true_a diameter_n so_o will_v 31428_o a_o suppose_a circumference_n be_v proportionable_a to_o 53_o 4·276_n which_o differ_v but_o little_a from_o the_o 10_o or_o 11_o prob._n problem_n iu._n with_o the_o diameter_n of_o two_o circle_n know_v and_o circumference_n of_o the_o one_o to_o find_v the_o circumference_n of_o the_o other_o or_o a_o diameter_n with_o 2_o circle_n give_v to_o find_v the_o other_o diameter_n the_o theorem_a circumference_n of_o all_o circle_n be_v in_o proportion_n one_o to_o another_o as_o be_v their_o respective_a diameter_n admit_v the_o diameter_n of_o two_o give_v circle_n be_v 17_o and_o 21_o the_o circumference_n of_o the_o first_o in_o a_o decimal_n fraction_n be_v in_o proportion_n as_o 7_o to_o 22.53.43_o the_o second_o number_n multiply_v by_o the_o three_o will_v be_v 1122·03_n which_o divide_v by_o 17_o the_o quotient_n prove_v 66_o the_o circumference_n of_o the_o second_o circle_n which_o be_v require_v if_o the_o circumference_n of_o any_o two_o circle_n with_o one_o give_v to_o find_v the_o other_o the_o manner_n of_o operation_n be_v the_o same_o so_o it_o require_v no_o example_n problem_n v._n with_o the_o diameter_n and_o superficial_a content_n of_o one_o circle_n to_o find_v the_o superficies_n of_o another_o who_o diameter_n be_v know_v the_o theorem_fw-la all_o circle_n have_v proportion_n one_o another_o as_o the_o superficial_a square_n make_v of_o their_o diameter_n have_v as_o for_o example_n suppose_v the_o diameter_n propound_a be_v 7_o and_o 14_o who_o square_n be_v 49_o and_o 196_o their_o proportion_n as_o 1_o to_o 4_o the_o superficial_a content_n of_o the_o first_o circle_n be_v 38_o ½_n but_o as_o a_o decimal_n in_o the_o table_n it_o be_v 38.5_o which_o multiply_v by_o 196_o the_o product_n be_v 7546.0_o and_o divide_v by_o 49_o the_o quotient_n will_v be_v 154_o the_o superficies_n of_o that_o circle_n who_o diameter_n be_v only_o know_v as_o by_o the_o 11_o problem_n may_v be_v also_o prove_v problem_n vi._n the_o superficial_a content_n of_o any_o two_o circle_n propound_v with_o one_o of_o their_o diameter_n give_v to_o find_v the_o other_o the_o former_a square_n be_v here_o again_o propound_v with_o one_o diameter_n know_v whereby_o to_o find_v the_o other_o in_o this_o example_n i_o take_v 14_o for_o the_o diameter_n the_o superficial_a square_n of_o whole_a circle_n be_v 154._o the_o diameter_n square_v be_v 196_o for_o the_o second_o number_n and_o the_o superficial_a square_n of_o the_o other_o circle_n be_v 38_o ½_n or_o 77_o 2_o which_o multiply_v by_o 196_o produce_v 15092_o ●_o or_o 7546_o and_o divide_v by_o 154_o the_o quotient_n will_v be_v 49_o who_o square_a root_n be_v 7_o for_o the_o diameter_n require_v as_o in_o the_o last_o problem_n problem_n vii_o to_o find_v the_o content_n or_o convex_a superficies_n of_o any_o sphere_n or_o globe_n who_o diameter_n or_o cicumference_n be_v find_v or_o propound_v by_o 4_o several_a way_n according_a to_o art_n 1._o by_o the_o diameter_n or_o circumference_n find_v the_o area_n or_o superficial_a content_n of_o that_o circle_n according_a to_o the_o former_a problem_n which_o multiply_v by_o 4_o produce_v the_o convex_a superficies_n require_v as_o for_o example_n admit_v 7_o be_v the_o diameter_n of_o a_o sphere_n the_o near_a quadrature_n of_o that_o circle_n be_v 38_o ½_n which_o suppose_v

also_o in_o the_o same_o proportion_n so_o the_o square_a of_o 3_o be_v 9_o which_o multiply_v by_o 4_o produce_v 36_o the_o quadrat_fw-la root_n of_o it_o be_v 6_o inch_n the_o circumference_n of_o the_o rope_n require_v proposition_n xix_o by_o know_v the_o weight_n of_o a_o fathom_n of_o any_o rope_n to_o find_v the_o weight_n of_o another_o either_o great_a or_o lesser_a a_o rope_n in_o compass_n 4_o inch_n and_o every_o fathom_n of_o it_o admit_v do_v weigh_v 3_o lb_n how_o much_o shall_v a_o coyler_n rope_n weigh_v that_o be_v 6_o inch_n in_o circumference_n which_o two_o circumference_n if_o multiply_v by_o 7_o they_o will_v retain_v the_o same_o proportion_n and_o so_o likewise_o if_o those_o product_n be_v divide_v by_o 22_o as_o in_o lib._n 2._o parag_n 7._o axiom_n 13._o arith._n then_o institute_v the_o rule_n of_o three_o with_o the_o circumference_n give_v and_o square_v viz._n as_o 16_o shall_v be_v to_o 3_o lb_a weight_n for_o a_o fathom_n of_o that_o rope_n so_o will_v the_o great_a square_v 36_o be_v in_o proportion_n unto_o 6_o ¾_n lb_n that_o be_v 6_o lb_n and_o 12_o ounce_n for_o the_o weight_n of_o each_o fathom_n of_o that_o coyler_n rope_n who_o circumference_n be_v 6_o inch_n the_o thing_n require_v many_o such_o proposition_n the_o gunner_n do_v us●_n which_o for_o brevity_n i_o here_o omit_v suppose_v these_o m●y_v suffice_v young_a practitioner_n so_o with_o strong_a hope_n and_o a_o slight_a fortification_n i_o will_v conclude_v this_o work_n proposition_n xx._n a_o mount_n or_o platform_n be_v to_o be_v raise_v for_o battery_n on_o which_o the_o great_a gun_n be_v to_o be_v mount_v the_o general_n command_v the_o captain_n of_o the_o pioneer_n to_o draw_v a_o trench_n about_o it_o as_o he_o and_o the_o engineer_n shall_v conceive_v convenient_a which_o according_a to_o order_n be_v thus_o design_v the_o platform_n set_v out_o 4_o square_a 70_o ●aces_n on_o every_o side_n at_o the_o line_n or_o verge_n of_o this_o trench_n where_o the_o labourer_n first_o break_v ground_n 16_o foot_n over_o to_o be_v 10_o foot_n broad_a at_o the_o bottom_n and_o 8_o foot_n deep_a the_o turf_n to_o be_v orderly_o lay_v at_o the_o brim_n and_o the_o earth_n dig_v out_o of_o the_o trench_n dispose_v of_o within_o that_o for_o a_o wall_n to_o raise_v the_o ordnance_n and_o defend_v the_o man_n within_o the_o wo●ks_n which_o wall_n be_v order_v to_o be_v make_v 21_o foot_n at_o bottom_n and_o 18_o foot_n broad_a at_o the_o top_n the_o query_n be_v how_o high_a the_o wall_n will_v be_v make_v of_o the_o earth_n dig_v out_o and_o how_o many_o cubical_a yard_n be_v in_o the_o say_a trench_n and_o what_o the_o labourer_n work_n may_v be_v worth_a if_o pay_v by_o the_o great_a or_o task-work_n the_o breadth_n of_o this_o trench_n at_o the_o brim_n be_v 16_o foot_n at_o the_o bottom_n 10_o the_o sum_n 26_o foot_n the_o half_z 13_o which_o multiply_v by_o 8_o foot_n the_o depth_n of_o the_o say_a trench_n the_o product_n will_v be_v 104_o superficial_a square_a foot_n the_o wall_n to_o be_v make_v be_v to_o be_v in_o thickness_n 18_o and_o 21_o foot_n the_o arithmetical_a medium_n 19_o ½_n or_o ●●_o 2_o a●_n in_o lib._n 2._o parag_n 5._o theo●em_fw-la 1._o arith._n with_o which_o divide_v 104_o the_o quotient_n will_v be_v 5_o foot_n 4_o inch_n the_o true_a height_n of_o the_o wall_n require_v the_o square_a of_o this_o platform_n be_v 72_o geometrical_a ●aces_n that_o be_v 350_o foot_n and_o the_o 4_o side_n contain_v in_o extent_n 1400_o foot_n which_o multiply_v by_o the_o square_n make_v of_o the_o trench_n breadth_n and_o depth_n as_o before_o find_v 104_o foot_n the_o product_n will_v be_v 145600_o cubical_a foot_n at_o each_o corner_n of_o these_o trench_n there_o will_v be_v a_o pyramidal_a segment_n reverse_v with_o the_o great_a end_n upward_o who_o mean_a square_n be_v 13_o foot_n as_o be_v the_o trench_n the_o quadrat_fw-la of_o it_o 169_o which_o multiply_v by_o 8_o the_o depth_n produce_v 1352_o cubical_a foot_n 4_o time_n that_o for_o the_o 4_o corner_n will_v be_v 5408._o this_o add_v to_o the_o former_a sum_n 145600_o the_o total_a will_v be_v 151008_o cubical_a foot_n which_o divide_v by_o 27_o the_o quotient_n prove_v 5592_o cubical_a yard_n contain_v in_o the_o whole_a trench_n which_o at_o 6_o d_o the_o yard_n to_o dig_v and_o carry_v on_o to_o the_o work_n come_v unto_o in_o money_n 139_o l_o 16_o ss_z the_o true_a manner_n of_o measure_v a_o segment_n and_o likewise_o the_o fraction_n in_o the_o last_o division_n be_v neglect_v as_o unnecessary_a in_o these_o gross_a work_n each_o of_o these_o segment_n contain_v 50_o cubical_a yard_n of_o earth_n which_o may_v raise_v a_o rampire_n sconce_n or_o bulwark_n at_o each_o angle_n of_o the_o platform_n 6_o foot_n high_o 16_o foot_n square_a at_o the_o bottom_n an●_n 14_o f●e●_n a●_n the_o top_n as_o for_o the_o marshal_n and_o quarter_a of_o soldier_n with_o sundry_a other_o military_a proposition_n i_o have_v here_o instate_v proposal_n and_o deliver_v example_n for_o speculation_n only_o and_o transfer_v the_o form_n to_o the_o judgement_n of_o experience_a commander_n since_o most_o proposition_n depend_v on_o this_o subject_a be_v undeterminable_a but_o according_a to_o the_o custom_n of_o the_o country_n the_o advantage_n of_o the_o place_n the_o number_n of_o horse_n or_o foot_n the_o enemy_n condition_n with_o multitude_n of_o occurence_n intervening_a every_o day_n &_o those_o circumspect_o to_o be_v consider_v by_o the_o field-officer_n or_o council_n of_o war_n sit_v upon_o this_o tragic_a scene_n as_o germany_n have_v learn_v by_o sad_a experience_n under_o the_o sword_n tuition_n this_o late_a age_n who_o disciple_n have_v be_v general_o separate_v oppugnant_fw-la in_o opinion_n yet_o unite_v and_o arm_v with_o faction_n have_v commence_v war_n under_o specious_a colour_n to_o procure_v peace_n oppress_v the_o truth_n to_o support_v religion_n suppress_v king_n to_o establsh_a monarchy_n and_o by_o rude_a anarchy_n pretend_v to_o introduce_v civility_n with_o divers_a such_o zealous_a paradox_n by_o a_o hyperbolical_a faith_n but_o leave_v all_o to_o god_n who_o decree_n be_v inscrutable_a his_o wisdom_n infallible_a his_o justice_n certain_a his_o mer●y_n without_o limit_n infinite_a and_o omnipotent_a in_o all_o his_o work_n to_o who_o be_v all_o honour_n praise_v and_o glory_n world_n without_o end_n amen_n the_o debtor_n and_o creditor_n or_o a_o perfect_a method_n of_o keep_v merchant_n account_n after_o the_o italian_a manner_n by_o thomas_n wilsford_n london_n print_v for_o nath_n brook_n at_o the_o angel_n in_o cornhill_n 1659._o precedent_n of_o merchant_n account_n in_o form_n of_o debtor_n &_o creditor_n according_a to_o the_o italian_a manner_n and_o the_o most_o modern_a method_n epitomise_v the_o efficient_a and_o final_a cause_n of_o keep_v merchant_n account_n after_o this_o manner_n be_v for_o sundry_a respect_n in_o commerce_n and_o trade_n by_o experience_n prove_v urgent_o necessary_a in_o steer_v a_o ample_a course_n of_o traffic_n yet_o wave_v all_o doubtful_a reckon_n and_o avoid_v confusion_n in_o multiplicity_n of_o business_n and_o diversity_n of_o affair_n of_o various_a nature_n which_o a_o good_a form_n will_v procure_v and_o produce_v these_o effect_n viz._n the_o owner_n or_o cashkeeper_n may_v at_o any_o time_n and_o upon_o all_o occasion_n ready_o find_v out_o any_o contract_n either_o by_o way_n of_o barter_n or_o money_n present_a pay_n time_n limit_v or_o mix_v also_o any_o sum_n of_o money_n good_n embark_v ship_v off_o return_v or_o remain_v in_o their_o warehouse_n with_o the_o quantity_n quality_n and_o value_n of_o they_o also_o all_o receipt_n and_o disbursment_n whether_o charge_v or_o draw_v upon_o their_o friend_n factor_n correspondent_n account_n their_o own_o or_o any_o company_n trade_v by_o sea_n or_o land_n with_o the_o balance_a of_o their_o estate_n betwixt_o debtor_n and_o creditor_n as_o what_o he_o owe_v or_o be_v owe_v he_o with_o all_o bill_n bond_n obligation_n debt_n or_o demand_n contract_v on_o either_o side_n any_o man_n that_o begin_v to_o drive_v a_o trade_n or_o adventure_v a_o stock_n into_o foreign_a part_n by_o way_n of_o traffic_n or_o commerce_n in_o multifacious_a negotiation_n aught_o to_o take_v a_o inventory_n of_o his_o present_a and_o personal_a estate_n whether_o it_o be_v in_o ready_a money_n good_n debt_n ware_n or_o remainer_n attract_v by_o any_o state_n bond_n bill_n lease_n or_o reversion_n transfer_v unto_o he_o or_o by_o transportation_n of_o a_o trade_n from_o some_o other_o merchant_n or_o decease_a friend_n which_o inventory_n must_v be_v enter_v in_o form_n of_o debtor_n and_o creditor_n according_a to_o the_o engagement_n of_o the_o factor_n correspondent_n administrator_n or_o assign_v inscribe_v the_o creditor_n name_n the_o sum_n time_n