Selected quad for the lemma: water_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
water_n	according_a	false_a	great_a	21	3	2.1433	3	false

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A96647	Willsfords arithmetick, naturall, and artificiall: or, decimalls. Containing the science of numbers, digested in three books. Made compendious and facile for all ingenious capacities, viz: merchants, citizens, sea-men, accomptants, &c. Together with the theorie and practice united in a sympathetical proportion betwixt lines and numbers, in their quantitites and qualities, as in respect of form, figure, magnitude and affection: demonstrated by geometrie, illustrated by calculations, and confirmed with variety of examples in every species. / By Thomas Willsford, Gent.	Willsford, Thomas.; Vaughan, Robert, engraver.	1656 (1656)	Wing W2874; Thomason E1584_1; ESTC R204128	162,697	364

as_o before_o answer_v the_o state_n of_o the_o question_n for_o the_o lesser_a number_n which_o be_v discover_v the_o other_o be_v easy_o find_v this_o question_n will_v be_v perform_v by_o the_o rule_n of_o single_a position_n if_o you_o take_v proportional_a number_n answer_v the_o state_n of_o the_o proposition_n question_v 3_o to_o divide_v a_o give_v number_n into_o any_o two_o part_n and_o those_o in_o any_o quantity_n assign_v as_o to_o part_v 10_o in_o two_o and_o so_o as_o that_o the_o great_a divide_v by_o the_o less_o the_o quotient_n shall_v be_v 20._o in_o all_o question_n of_o this_o kind_n suppose_v any_o one_o number_n the_o other_o be_v the_o remainder_n as_o here_o i_o suppose_v 2_o the_o other_o must_v be_v 8_o both_o number_n be_v 10_o and_o according_a to_o the_o state_n of_o the_o question_n the_o great_a shall_v contain_v the_o less_o 20_o time_n then_o consequent_o 20_o time_n the_o less_o will_v be_v equal_a unto_o the_o great_a number_n so_o 2_o multiply_v by_o 20_o produce_v 40_o and_o shall_v have_v be_v equal_a to_o 8_o the_o error_n be_v 32_o too_o much_o then_o take_v a_o second_o supposition_n as_o admit_v 1_o the_o other_o part_n must_v be_v 9_o and_o the_o second_o error_n 11_o and_o both_o too_o much_o which_o note_n and_o then_o multiply_v they_o into_o their_o contrary_a supposition_n the_o product_n will_v be_v 22_o &_o 32_o the_o difference_n 10_o for_o the_o dividend_n the_o difference_n of_o error_n 21_o the_o divisor_n the_o quotient_a 10_o 21_o for_o the_o lesser_a part_n which_o subtract_v from_o 10_o the_o remainder_n will_v be_v 9_o 11_o 21_o which_o be_v 20_o time_n the_o other_o and_o consequent_o 9_o 11_o 21_o or_o ●00_o 21_o divide_v by_o 10_o 21_o the_o quotient_n will_v be_v 20_o the_o thing_n require_v and_o for_o trial_n by_o the_o first_o rule_n of_o false_a position_n as_o 21_o to_o 32_o so_o 1_o unto_o 1_o 11_o 21_o which_o according_a to_o the_o same_o rule_n subtract_v from_o 2_o the_o first_o supposition_n the_o remainder_n will_v be_v 10_o 21_o for_o the_o true_a number_n as_o before_o question_n 4._o a_o vessel_n of_o 63_o gallon_n be_v fill_v with_o french_a wine_n of_o two_o sort_n the_o one_o be_v at_o 2_o s._n the_o gallon_n the_o other_o at_o 2_o s._n 6_o d._n the_o gallon_n the_o wine_n in_o the_o hogshead_n thus_o fill_v do_v come_v unto_o in_o money_n 7_o l._n 4_o s._n and_o it_o be_v here_o demand_v how_o much_o there_o be_v of_o either_o sort_n the_o quality_n here_o and_o the_o number_n of_o gallon_n in_o either_o supposition_n will_v solve_v this_o question_n the_o denomination_n be_v the_o same_o in_o both_o as_o in_o respect_n of_o the_o quality_n that_o be_v suppose_v the_o best_a or_o worst_a sort_n or_o price_n in_o either_o yet_o to_o avoid_v any_o great_a number_n the_o quantity_n of_o gallon_n be_v odd_a as_o 63_o and_o the_o mean_a price_n or_o quality_n be_v even_o i_o take_v that_o in_o both_o and_o presuppose_v 23_o gallon_n of_o the_o mean_a sort_n than_o there_o be_v 40_o gallon_n of_o the_o best_a which_o at_o 2_o s._n 6_o d._n the_o gallon_n come_v unto_o 5_o l._n and_o the_o other_o sort_n unto_o 2_o l_o 6_o s._n in_o all_o 7_o l_o 6_o s._n the_o price_n be_v 7_o l._n 4_o s._n from_o whence_o it_o be_v apparent_a that_o the_o first_o error_n be_v ●_o s._n too_o much●_n then_o suppose_v 33_o gallon_n or_o what_o you_o please_v which_o grant_v there_o must_v be_v 30_o gallon_n of_o the_o best_a which_o come_v unto_o 3_o l._n 15_o s._n and_o 33_o gallon_n of_o the_o worst_a at_o 2_o s._n the_o gallon_n amount_v unto_o 3_o l._n 6_o s._n the_o sum_n 7_o l._n 1_o s._n the_o error_n 3_o s._n defective_a these_o error_n multiply_v crossewise_o by_o the_o supposition_n will_v produce_v 69_o &_o 66_o and_o according_a to_o my_o former_a direction_n be_v the_o sign_n be_v unlike_a their_o sum_n be_v 135_o for_o the_o dividend_n the_o sum_n of_o the_o error_n 5_o for_o the_o divisor_n the_o quotient_a 27_o the_o number_n of_o gallon_n of_o the_o worst_a sort_n of_o wine_n then_o must_v there_o be_v 36_o gallon_n of_o the_o best_a the_o total_a quantity_n 63_o gallon_n the_o price_n of_o the_o worst_a be_v 2_o l._n 14_o s._n and_o the_o best_a come_v unto_o 4_o l._n 10_o s._n the_o just_a sum_n of_o 7_o l._n 4_o s._n according_a unto_o the_o proposition_n and_o by_o the_o second_o rule_n the_o proportion_n be_v as_o 5_o unto_o 2_o so_z 10_o to_z 4_o which_z 4_o if_o it_o be_v add_v unto_o 23_o the_o first_o supposition_n the_o sum_n will_v be_v 27_o gallon_n as_o by_o the_o former_a operation_n in_o the_o figure_n do_v appear_v question_n 5._o hiero_n king_n of_o sicylia_n cause_v a_o crown_n of_o gold_n for_o to_o be_v make_v in_o weight_n 10_o lb._n and_o it_o be_v conceive_v that_o the_o workman_n have_v put_v a_o great_a alloy_n of_o silver_n unto_o it_o which_o abuse_v of_o the_o artificer_n archimedes_n detect_v and_o by_o false_a position_n may_v be_v thus_o discover_v lb_fw-mi lb_v 1_o lb_a lb_n as_o 10_o gold_n to_o 2_o water_n so_o 6_o gold_n to_o 6_o 5_o water_n as_o 10_o silver_n to_o 3_o water_n so_o 4_o silver_n to_o 6_o 5_o water_n the_o total_a of_o these_o four_o proportional_o two_o ⅖_n lb_v lb_v two_o lb_v lb_n as_o 10_o gold_n to_o 2_o water_n so_o 7_o gold_n to_o 7_o 5_o water_n as_o 10_o silver_n to_o 3_o water_n so_o 3_o silver_n to_o 9_o 10_o water_n the_o total_a of_o these_o proportional_o be_v 2_o 3_o 10_o admit_v by_o put_v the_o crown_n into_o the_o cistern_n of_o water_n the_o quantity_n run_v out_o be_v 2_o ⅕_n lb._n the_o mass_n of_o pure_a gold_n avoid_v but_o 2_o lb_a water_n and_o that_o of_o silver_n 3_o lb._n which_o in_o the_o first_o place_n show_v the_o difference_n of_o metal_n for_o they_o be_v of_o equal_a weight_n that_o most_o compact_a and_o heavy_a of_o nature_n will_v have_v the_o lesser_a body_n and_o consequent_o possess_v the_o lesser_a room_n by_o this_o a_o great_a allay_n appear_v and_o will_v be_v explicit_o know_v as_o thus_o suppose_v there_o be_v 4_o lb_n of_o silver_n then_o be_v there_o 6_o lb_n of_o gold_n here_o institute_v the_o rule_n of_o proportion_n twice_o for_o either_o mettle_n as_o in_o the_o first_o table_n viz_o if_o 10_o lb_n of_o gold_n void_v 2_o lb_n of_o water_n how_o much_o will_v 6_o lb_n of_o gold_n void_a which_o will_v prove_v 1_o ⅕_n lb_v of_o water_n and_o so_o according_a to_o the_o supposition_n find_v how_o much_o water_n the_o silver_n will_v avoid_v which_o be_v here_o also_o 1_o ⅕_n lb_n the_o sum_n be_v 2_o ⅕_n whereas_o the_o water_n which_o the_o crown_n force_v out_o be_v 2_o ⅗_n lb._n the_o difference_n only_a ⅕_n lb_v for_o the_o first_o error_n then_o suppose_v there_o may_v be_v 3_o lb_n of_o silver_n in_o the_o crown_n there_o must_v be_v of_o gold_n 7_o lb._n and_o according_a to_o the_o second_o table_n the_o four_o proportional_a number_n will_v be_v 14_o 10_o or_o 7_o 5._o then_o again_o as_o 10_o s._n to_o 3_o w._n so_o 3_o lb_v silver_n to_o 9_o 10_o lb_a of_o water_n the_o sum_n of_o these_o be_v 2_o 3_o 10_o lb_a water_n the_o difference_n of_o this_o 2_o 3_o ●0_n and_o 2_o ⅕_n be_v 1_o 10_o too_o much_o for_o the_o second_o error_n these_o multiply_v by_o their_o contrary_a supposition_n will_v produce_v ⅖_n &_o ⅗_n and_o according_a to_o my_o former_a direction_n the_o difference_n be_v ⅕_n for_o the_o dividend_n the_o difference_n of_o error_n 1_o 10_o the_o quotient_a 2_o lb_n of_o silver_n the_o quantity_n of_o the_o allay_v and_o 8_o lb_v the_o weight_n of_o gold_n that_o be_v in_o the_o crown_n the_o thing_n require_v the_o examen_fw-la or_o trial_n for_o the_o proof_n of_o this_o or_o the_o like_a take_v the_o quantity_n of_o both_o metal_n find_v and_o likewise_o the_o quantity_n of_o the_o thing_n or_o mass_n propound_v then_o institute_v twice_o the_o rule_n of_o proportion_n if_o 10_o lb_n of_o gold_n force_v out_o 2_o water_n how_o much_o will_v 8_o of_o gold_n put_v forth_o facit_fw-la 1_o ⅗_n lb_v water_n then_o by_o the_o second_o rule_n if_o 10_o lb_n of_o silver_n expel_v 3_o lb_n of_o water_n than_o 2_o lb_n of_o silver_n will_v force_v out_o of_o the_o same_o cistern_n ⅗_n lb_n of_o water_n the_o sum_n of_o these_o be_v 2_o ⅕_n lb_v of_o water_n and_o so_o much_o do_v the_o crown_n itself_o put_v forth_o or_o by_o the_o first_o canon_n to_o this_o double_a rule_n of_o false_a position_n as_o 1_o 10_o to_o ⅕_n so_o will_v 1_o be_v to_o 2_o which_o according_a unto_o the_o same_o rule_n if_o subtract_v from_o the_o first_o

supposition_n the_o remainder_n will_v be_v 2_o lb_v the_o quantity_n require_v as_o before_o this_o question_n may_v be_v solve_v by_o any_o less_o quantity_n of_o mettle_n in_o either_o sort_n for_o by_o find_v how_o much_o one_o ounce_n or_o any_o other_o quantity_n shall_v force_v out_o of_o a_o cistern_n by_o the_o common_a rule_n of_o proportion_n you_o will_v easy_o find_v what_o quantity_n of_o water_n shall_v be_v expulse_v by_o any_o great_a or_o lesser_a mass_n of_o the_o same_o mettle_n therefore_o i_o will_v write_v no_o more_o of_o this_o truth_n by_o these_o two_o last_o paragraph_n be_v extract_v from_o false_a position_n and_o gross_a error_n multiply_v and_o divide_v by_o error_n more_o and_o less_o obsurd_a in_o themselves_o yet_o in_o these_o the_o thing_n lie_v involve_v which_o be_v inquire_v after_o though_o benight_a in_o obscurity_n and_o by_o correct_v the_o error_n will_v be_v bring_v to_o light_v the_o aenigma_n solve_v the_o objection_n clear_v and_o i_o discover_v in_o my_o intention_n a_o friend_n to_o the_o truth_n and_o real_o wish_v this_o for_o the_o common_a good_a reflect_v upon_o honest_a ingenious_a man_n to_o who_o candid_a and_o merciful_a censure_n i_o refer_v myself_o and_o for_o instruction_n in_o the_o rule_n of_o false_a because_o it_o be_v so_o general_o belove_v and_o daily_o put_v in_o practice_n i_o will_v recommend_v this_o breviate_v to_o their_o memory_n as_o a_o directory_n whereby_o to_o avoid_v some_o error_n of_o this_o kind_n in_o future_a and_o thus_o conclude_v the_o second_o book_n the_o rule_n of_o false_a position_n to_o discover_v the_o truth_n or_o by_o erroneous_a supposition_n to_o find_v thing_n real_o true_a a_o paradox_n and_o no_o hyperbole_n axiom_n in_o rule_n of_o false_a be_v brief_o these_o take_v two_o convenient_a number_n as_o you_o please_v two_o error_n will_v arise_v from_o what_o you_o guess_v which_o note_n with_o sign_n as_o whether_o more_a or_o less_o then_o multiply_v those_o error_n you_o disclose_v crosse-wise_a by_o both_o the_o number_n you_o suppose_v if_o in_o your_o work_n two_o sign_n alike_o you_o make_v difference_n of_o error_n than_o all_o number_n take_v if_o sign_n unlike_a as_o ✚_o &_o this_o do_v add_v both_o the_o error_n and_o the_o number_n too_o the_o sum_n or_o difference_n the_o error_n must_v divide_v which_o quotient_n then_o the_o riddle_n will_v decide_v unless_o both_o number_n seek_v it_o do_v contain_v or_o both_o product_n alike_o the_o aenigma_n vain_a where_o naught_o be_v to_o divide_v you_o may_v descry_v the_o question_n be_v false_a or_o but_o a_o fallacy_n if_o more_o than_o two_o position_n you_o must_v need_v the_o rule_n of_o false_a will_v then_o be_v false_a indeed_o some_o other_o note_n and_o query_n may_v be_v show_v who_o use_n be_v best_a to_o cossick-number_n know_v the_o rule_v prescribe_v here_o will_v guide_v you_o true_a yet_o take_v these_o caveat_n too_o along_o with_o you_o though_o many_o say_v and_o will_v my_o counsel_n shun_v what_o need_v we_o rule_v when_o as_o this_o work_n be_v do_v to_o which_o i_o answer_v all_o i_o here_o impart_v be_v but_o the_o ground_n and_o principle_n of_o art_n some_o rule_n search_v tract_n that_o various_a way_n do_v wind_n yet_o leave_v not_o inquisition_n till_o they_o find_v error_n maeander_n be_v in_o which_o we_o be_v lead_v that_o none_o can_v well_o return_v without_o a_o thread_n make_v no_o position_n error_n to_o maintain_v as_o blind_a sect_n do_v who_o seek_v for_o truth_n in_o vain_a with_o miscall_v light_n pretend_v to_o guide_v man_n right_a they_o be_v faux_n his_o lantern_n &_o a_o snuff_n their_o light_n it_o be_v not_o to_o such_o my_o labour_n i_o intend_v but_o to_o the_o good_a or_o those_o that_o will_v amend_v the_o new_a but_o false_a inspire_a saint_n suppose_v all_o thing_n of_o truth_n be_v now_o reveal_v to_o those_o he_o that_o from_o they_o can_v any_o truth_n descry_v by_o false_a position_n have_v more_o art_n than_o i_o these_o i_o as_o error_n shun_v and_o do_v implore_v to_o be_v christ_n servant_n and_o i_o wish_v no_o more_o the_o well-disposed_a amend_v will_n what_o be_v amiss_o and_o find_v their_o error_n as_o i_o do_v in_o this_o which_o find_v correct_v they_o will_v vanish_v then_o away_o and_o truth_n will_v rise_v from_o thence_o like_o break_n of_o day_n error_n be_v mist_n that_o do_v benight_v our_o sphere_n withdraw_v those_o vapour_n and_o the_o day_n appear_v man_n do_v by_o error_n fall_v whence_o art_n in_o vain_a labour_n in_o part_n for_o to_o restore_v again_o by_o false_a position_n you_o may_v error_n find_v who_o can_v see_v their_o fault_n be_v very_o blind_a by_o what_o be_v false_a i_o hope_v you_o will_v find_v what_o be_v true_a i_o wish_v your_o error_n small_a and_o so_o adieu_n all_o that_o i_o know_v i_o know_v be_v give_v to_o i_o for_o other_o good_a so_o this_o i_o give_v to_o thou_o and_o for_o my_o labour_n give_v if_o you_o be_v ease_v all_o glory_n unto_o god_n and_o i_o be_o please_v to_o be_v the_o servant_n unto_o his_o servant_n thomas_z wilsford_n artificial_a arithmetic_n or_o number_n divide_v into_o section_n and_o these_o in_o chapter_n contain_v decimall_n arithmetic_n with_o the_o definition_n reduction_n annotation_n numeration_n and_o construction_n of_o these_o fraction_n with_o their_o several_a rule_n in_o addition_n subtraction_n multiplication_n and_o division_n with_o decimall_n table_n of_o the_o coin_n weight_n and_o measure_n common_o use_v in_o england_n also_o one_o of_o minute_n and_o second_o the_o three_o book_n london_n print_v by_o j._n g._n for_o nath_n brook_n at_o the_o angel_n in_o cornhill_n 1656._o the_o three_o book_n contain_v decimall_n arithmetic_n sect_n i._o chap._n i._n the_o definition_n of_o artificial_a arithmetic_n with_o the_o reduction_n of_o the_o decimall_n fraction_n and_o the_o art_n of_o frame_v those_o number_n the_o definition_n artificial_a arithmetic_n by_o decimall_n fraction_n do_v add_v subtract_v multiply_v and_o divide_v with_o whole_a number_n and_o fraction_n commix_v together_o in_o one_o sum_n and_o their_o total_o remainder_n product_n and_o quotient_n shall_v produce_v mix_v number_n as_o integer_n and_o fraction_n in_o one_o total_a sum_n these_o decimall_n fraction_n have_v always_o for_o their_o denominator_n a_o unite_v with_o cipher_n annex_v unto_o that_o unite_v towards_o the_o right_a hand_n as_o 1_o 10_o 2_o 190_o 3_o 1000_o or_o 1_o 1000_o etc._n etc._n but_o if_o any_o fraction_n propound_v shall_v not_o have_v such_o a_o denominator_fw-la it_o must_v be_v reduce_v unto_o it_o by_o art_n from_o whence_o this_o kind_n of_o arithmetic_n derive_v it_o exordium_n or_o name_n original_o rule_n 1._o the_o reduction_n of_o common_a or_o vulgar_a fraction_n unto_o decimall_n with_o the_o first_o ground_n thereof_o any_o vulgar_a fraction_n may_v be_v reduce_v unto_o a_o decimall_n by_o division_n or_o very_o near_o the_o same_o quantity_n without_o any_o sensible_a error_n as_o thus_o unto_o the_o numerator_n of_o the_o fraction_n give_v annex_v cypher_n as_o in_o extract_v the_o quadrat_fw-la root_n lib_n 2._o parag_v 1._o example_n 5._o but_o in_o all_o these_o case_n at_o pleasure_n as_o 1_o 2_o or_o 3_o cypher_n etc._n etc._n this_o do_v divide_v the_o whole_a by_o the_o denominator_fw-la of_o the_o fraction_n propound_v the_o quotient_n will_v be_v the_o numerator_n of_o the_o fraction_n who_o denominator_fw-la shall_v be_v a_o unite_n with_o so_o many_o cipher_n as_o the_o numerator_n have_v place_n of_o these_o there_o be_v two_o kind_n viz_o rational_a and_o irrational_a those_o be_v call_v rational_a who_o numerator_n be_v just_a quantity_n without_o have_v any_o remainder_n as_o all_o the_o other_o have_v and_o yet_o those_o decimall_n retain_v a_o proportion_n so_o near_o their_o vulgar_a fraction_n as_o that_o humane_a work_n can_v require_v no_o more_o exactness_n as_o shall_v be_v instance_a in_o some_o follow_a example_n example_n 1._o of_o some_o vulgar_a fraction_n reduce_v to_o decimall_n retain_v true_a proportion_n the_o denominator_fw-la of_o every_o fraction_n be_v in_o proportion_n unto_o the_o numerator_n as_o be_v the_o integer_n to_o their_o part_n according_a to_o the_o rule_n of_o fraction_n lib_n 1._o sect_n 2._o parag_v 1._o paradig_n 9_o then_o by_o the_o first_o of_o these_o 4_o example_n ½_n be_v a_o fraction_n propound_v for_o to_o be_v make_v a_o decimall_n of_o which_o suppose_v 10_o to_o be_v the_o integer_fw-la then_o say_v by_o the_o rule_n of_o three_o as_o 2_o be_v to_o 1_o so_o 10_o unto_o 5_o which_o be_v proportional_a number_n lib_fw-la 2._o parag_v 7_o axe_n 11._o that_o be_v as_o the_o denominator_fw-la of_o the_o give_a fraction_n be_v unto_o its_o numerator_n so_o shall_v 10_o 100_o 1000_o etc._n etc._n the_o decimall_n denominator_fw-la be_v

reign_n who_o change_v the_o value_n of_o those_o penny_n unto_o 3_o penny_n the_o piece_n as_o now_o they_o stand_v so_o a_o grain_n of_o wheat_n as_o a_o fraction_n of_o a_o fraction_n to_o 1_o pound-troy_n the_o integer_fw-la will_v stand_v thus_o viz_o 1_o 24_o of_o 1_o 29_o of_o 1_o 12●_n that_o be_v by_o reduction_n 1_o 5760_o part_n averdupois_n weight_n 24_o grain_n of_o wheat_n 1_o scruple_n 3_o scruple_n make_v 1_o dragme_n 8_o dragmes_fw-la make_n 1_o ounce_n averdup_n 16_o ounce_n make_v 1_o pound_v averdup_n 14_o pound_n averdup_n 1_o stone_n 2_o stone_n or_o 28_o lb_a ¼_n of_o a_o hundred_o 4_o stone_n or_o 56_o lb_a ½_n a_o hundred_o 8_o stone_n 112_o lb_v 1_o hundred_o weight_n 5_o hundred_o lb_n 1_o hogshead_n 10_o hundred_o lb_n 1_o butt_n or_o pipe_n 20_o hundred_o lb_n 1_o tun_n or_o load_n this_o be_v call_v civil_a or_o merchant_n weight_n with_o which_o be_v weigh_v all_o gross_a commodite_n and_o merchandize_n malyne_v lex_fw-la mercat_n pag_n 49._o &_o 252._o of_o these_o there_o be_v two_o kind_n viz_o the_o lesser_a and_o the_o great_a these_o proceed_v original_o from_o a_o grain_n of_o wheat_n georgius_n agricola_n de_fw-fr pond_n &_o mens_fw-la and_o so_o in_o several_a part_n and_o denomination_n they_o increase_v to_o a_o pound_n the_o lesser_a weight_n by_o which_o be_v sell_v commodity_n by_o retail_v as_o butter_n cheese_n flesh_n tallow_n wax_n and_o what_o have_v the_o name_n of_o garbell_n and_o whence_o issue_v waste_v or_o refuse_v of_o this_o a_o pound_n be_v the_o integer_fw-la and_o the_o least_o of_o the_o great_a weight_n who_o integer_fw-la be_v 1_o c_o that_o be_v 112_o lb_n and_o as_o fraction_n they_o may_v be_v thus_o express_v the_o lesser_a weight_n proceed_v from_o a_o grain_n of_o wheat_n viz_o 1_o 24_o of_o ⅓_n of_o ⅛_n of_o 1_o 16_o which_o if_o reduce_v be_v 1_o 9216._o and_o the_o great_a weight_n proceed_v from_o a_o pound_n thus_o 1_o 14_o of_o ½_n of_o ½_n of_o ½_n that_o be_v if_o reduce_v 1_o 1●2_n or_o thus_o ●_o 14_o of_o ⅛_n which_o be_v the_o same_o 1_o stone_z be_v ⅛_n part_n of_o a_o hundred_o long_o or_o radical_a measure_n 4_o barley_n corn_n 1_o inch_n or_o finger_n 4_o finger_n or_o inch_n 1_o palm_n or_o hand_n 12_o inch_n or_o 3_o palm_n 1_o foot_n 18_o inch_n or_o 1_o ½_n foot_n 1_o cube_n 3_o foot_n or_o 2_o cube_n 1_o yard_n 3_o foot_n and_o 9_o inch_n 1_o elle_fw-fr 5_o foot_n 1_o pace_n geometrical_a 6_o foot_n or_o 2_o yard_n 1_o fathom_n 5_o ½_n yard_n or_o 16_o ½_n foot_n 1_o perch_n or_o pole_n 40_o perch_n 132_o pace_n 1_o furlong_n 8_o furlong_n 320_o pole_n 1_o mile_n english_a 3_o miles_n 1_o league_n these_o be_v name_v long_o or_o radical_a by_o reason_n the_o superficies_n of_o divers_a thing_n be_v measure_v by_o the_o square_n compose_v of_o their_o side_n common_o call_v root_n vide_fw-la 33_o edw_n 1._o &_o 25_o eliz_n in_o geometry_n the_o least_o of_o these_o be_v a_o barley_n corn_n in_o breadth_n be_v ¼_n of_o a_o inch_n from_o whence_o all_o the_o other_o measure_n be_v derive_v as_o in_o the_o table_n the_o integer_n of_o these_o be_v foot_n yard_n pace_n pole_n etc._n etc._n the_o fraction_n as_o to_o the_o great_a denomination_n may_v be_v thus_o express_v ¼_n of_o ¼_n of_o ⅓_n of_o ⅓_n of_o 2_o 11_o of_o 3_o 40_o of_o ⅛_n of_o ●_o 3_o these_o fraction_n reduce_v into_o a_o single_a fraction_n will_v be_v 1_o 760320_o which_o may_v be_v make_v out_o of_o few_o composition_n or_o more_o for_o these_o proceed_v from_o a_o barley_n corn_n and_o so_o to_o a_o palm_n a_o foot_n a_o yard_n a_o pole_n a_o furlong_n a_o mile_n and_o a_o league_n the_o great_a denomination_n here_o of_o concave_a dry_a measure_n 2_o pint_n or_o pound_n 1_o quart_n 2_o quart_n 1_o pottle_n 2_o pottle_n 1_o gallon_n 2_o gallon_n 1_o peck_n 4_o peck_v 1_o bushel_n land_n measure_n 5_o peck_v 1_o bushel_n wat._n measure_n 4_o bushel_n 1_o coombe_n 2_o coombes_n 1_o quarter_n 4_o quarter_n 1_o chalder_n 5_o quarter_n 1_o tun_n or_o wey_n these_o measure_n be_v derive_v from_o a_o pint_n which_o of_o wheat_n be_v suppose_v to_o weigh_v 1_o pound_n troy_n from_o hence_o proceed_v unto_o gallon_n 8_o of_o they_o make_v 1_o bushel_n usual_o call_v land_n measure_n and_o 5_o peck_v do_v make_v 1_o bushel_n of_o water_n measure_n 5_o quarter_n be_v the_o great_a denomination_n contain_v 1_o tun_n wey_n or_o size_a load_n the_o measure_n here_o proceed_v from_o a_o pint_n may_v be_v express_v in_o break_a number_n or_o fraction_n of_o fraction_n thus_o ½_n of_o ½_n of_o ½_n of_o ½_n of_o ¼_n of_o ¼_n of_o ½_n of_o ⅕_n and_o these_o fraction_n by_o reduction_n will_v be_v make_v a_o single_a fraction_n as_o 1_o 512_o if_o 1_o quarter_n be_v the_o integer_fw-la but_o if_o a_o tun_n it_o must_v be_v ⅕_n more_o and_o then_o it_o will_v be_v 1_o 2560_o the_o fraction_n require_v proceed_v from_o a_o pint_n unto_o a_o wey_n by_o these_o be_v measure_v dry_a commodity_n viz_o all_o kind_n of_o grain_n salt_n lime_n sea-coal_n etc._n etc._n of_o concave_a liquid_a measure_n 2_o pint_n 1_o quart_n 2_o quartes_n 1_o pottle_n 2_o pottle_n 1_o gallon_n 8_o gallon_n 1_o firkin_n of_o ale_n soap_n or_o hear_a 9_o gallon_n 1_o firkin_n of_o beer_n 2_o firkins_n 1_o kilderkin_n 2_o kilderkin_n 1_o barrel_n 36_o gallon_n 42_o gallon_n 1_o tierce_n 63_o gallon_n 1_o hogshead_n 2_o hogshead_n 1_o pipe_n or_o butt_n 2_o butt_n 252_o gallon_n 1_o tun_n by_o these_o all_o liquid_a substance_n be_v measure_v proceed_v from_o a_o pint_n unto_o a_o tun_n the_o integer_fw-la conta_v 252_o gallon_n or_o 2016_o pint_n which_o will_v be_v express_v by_o fraction_n of_o fraction_n thus_o ascend_v by_o these_o particular_n except_v the_o ale_n firkin_n kilderkin_n and_o pipe_n viz_o ½_n of_o ½_n of_o ½_n of_o 1_o 9_o of_o ¼_n of_o ●_o 7_o of_o ⅔_n of_o ¼_n which_o be_v 12_o 24192_o or_o reduce_v 1_o 2016_o the_o fraction_n make_v of_o a_o pint_n and_o a_o tun_n the_o integer_fw-la a_o table_n of_o time_n 60_o second_o make_v 1_o minute_n 60_o minute_n 1_o hour_n 24_o hour_n 1_o day_n natural_a 7_o day_n 1_o week_n 4_o week_n 1_o month_n 13_o month_n 1_o day_n &_o 6_o hour_n 1_o vulgar_a year_n  _fw-fr or_n 365_o d._n 5_o h._n 48_o m._n &_o 55_o s._n the_o magnitude_n of_o a_o common_a year_n this_o be_v a_o table_n of_o time_n but_o not_o of_o these_o from_o hence_o the_o world_n infancy_n derive_v a_o pedigree_n with_o a_o continual_a succession_n of_o day_n month_n &_o year_n unto_o this_o decline_a age_n proceed_v here_o from_o a_o second_o and_o terminate_v with_o a_o year_n wherein_o i_o will_v conclude_v be_v there_o be_v a_o time_n for_o all_o thing_n i_o can_v have_v derive_v these_o from_o three_o and_o fourths_o etc._n etc._n but_o do_v conceive_v second_o be_v sufficient_a for_o common_a use_n 60_o make_v a_o minute_n as_o in_o the_o table_n not_o perfect_o true_a error_n increase_a as_o the_o time_n a_o hour_n unlimited_a in_o humane_a understanding_n and_o be_v only_o know_v to_o god_n the_o sole_a creator_n of_o all_o as_o i_o will_v instance_n in_o a_o natural_a day_n general_o conceive_v for_o to_o consist_v of_o 24_o hour_n just_a which_o opinion_n be_v reprehensible_a in_o humane_a sense_n and_o find_v to_o contain_v 57_o second_o more_o yet_o one_o day_n not_o equal_a unto_o another_o some_o be_v great_a and_o other_o less_o for_o which_o i_o have_v insert_v at_o the_o bottom_n of_o the_o table_n the_o magnitude_n of_o a_o common_a intercalary_n year_n according_a to_o the_o opinion_n of_o divers_a learned_a man_n the_o fraction_n be_v not_o here_o subscribe_v be_v write_v as_o the_o last_o and_o so_o pronounce_v their_o term_n respective_o consider_v beside_o the_o year_n be_v also_o divide_v into_o 12_o solar_a month_n each_o contain_n 30_o equal_a part_n and_o by_o some_o into_o 30_o day_n 5_o 12_o or_o 10_o hour_n which_o be_v 4_o second_n and_o more_o to_o little_a so_o fear_v i_o shall_v write_v too_o much_o of_o this_o and_o consequent_o lose_v time_n i_o will_v here_o conclude_v this_o chapter_n and_o proceed_v to_o the_o next_o sect._n i._n chap._n vii_o of_o decimall_n table_n calculate_v to_o 7_o place_n according_a to_o the_o fraction_n before_o in_o number_n weight_n and_o measure_n with_o time_n make_v apt_a for_o use_v in_o this_o kind_n of_o artificial_a arithmetic_n i._o the_o decimall_n table_n of_o reduction_n of_o english_a coin_n unto_o seventh_n be_v these_o a_o explanation_n this_o decimall_n table_n of_o english_a coin_n be_v divide_v into_o 4_o column_n or_o denomination_n &_o each_o of_o those_o in_o