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end_n foot_n half_a inch_n 1,859 5 11.0254 5 true
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ID Title Author Corrected Date of Publication (TCP Date of Publication) STC Words Pages
A77649 The description and use of the carpenters-rule: together with the use of the line of numbers (inscribed thereon) in arithmetick and geometry. And the application thereof to the measuring of superficies and solids, gaging of vessels, military orders, interest and annuities: with tables of reduction, &c. : To which is added, the use of a (portable) geometrical sun-dial, with a nocturnal on the backside, for the exact and ready finding the hour of the day and night: and other mathematical conclusions. Also of a universal-dial for the use of seamen or others. With the use of a sliding or glasiers-rule and Mr. White's rule for solid measure. / Collected and fitted to the meanest capacity by J. Browne. Brown, John, philomath.; Gaywood, Richard, fl. 1650-1680. 1667 (1667) Wing B5039D; ESTC R173095 73,644 256

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142_o to_o 617_o be_v twice_o repeat_v as_o 1_o to_o 14_o so_o 5278_o to_o 1437._o be_v thrice_o repeat_v as_o for_o many_o side_v figure_n if_o they_o have_v length_n you_o have_v sufficient_a for_o they_o in_o the_o chapter_n of_o superficial_a measure_n to_o find_v the_o base_a and_o then_o the_o base_a multiply_v by_o the_o length_n give_v the_o content_a but_o as_o for_o figure_n of_o roundish_n form_n they_o come_v very_o seldom_o in_o use_n i_o shall_v not_o in_o this_o place_n trouble_v you_o with_o they_o for_o they_o may_v be_v reduce_v to_o sphere_n or_o cones_n or_o triangle_n or_o cube_n and_o then_o measure_v by_o those_o problem_n according_o and_o so_o much_o for_o the_o mensuration_n of_o solid_n chap._n vii_o of_o gage_v of_o vessel_n the_o use_n of_o the_o line_n of_o number_n in_o gage_v of_o vessel_n the_o art_n of_o gage_v all_o manner_n of_o vessel_n either_o close_o or_o open_a all_o vessel_n to_o put_v liquor_n in_o be_v make_v either_o square_a as_o brewer_n 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standard-yard_n and_o a_o ale-gallon_n be_v 282¼_n of_o those_o inch_n take_v cubical_o which_o be_v agreeable_a to_o four_o of_o the_o ale-quart_n in_o the_o king_n majesty_n exchequer_n or_o if_o you_o will_v 288_o cubique_fw-la inches_n which_o be_v agreeable_a to_o the_o standard-gallon_n in_o cooper_n hall_n as_o alderman_n starling_n and_o other_o have_v much_o contend_v for_o but_o in_o regard_n that_o 282_o ¼_n be_v according_a to_o the_o ale-quart_n in_o the_o exchequer_n that_o i_o shall_v the_o rather_o use_v callon_n contain_v inch_n 282_o ¼_n 282_o ¼_n 18_o g_o ½_n bar._n of_o beer_n contain_v of_o cube_n inches_n 5080_o ½_n 16_o g_o ½_n bar._n of_o
last_o at_o 4_o foot_n be_v the_o word_n round_o note_v the_o circumference_n according_a to_o the_o usual_a allowance_n who_o use_n follow_v note_v also_o if_o you_o put_v on_o the_o gage-point_n for_o ale_n or_o wine_n with_o the_o mean_a diameter_n and_o length_n you_o may_v gauge_v any_o wine_n or_o beer-vessel_n the_o wine_n at_o 17_o inch_n ¼_n the_o ale_n or_o beer_n at_o 18.95_o four_o the_o figure_n on_o the_o left_a side_n be_v not_o much_o unlike_o the_o right_n for_o 1_o at_o the_o beginning_n be_v one_o inch_n and_o so_o it_o proceed_v by_o quarter_n of_o inch_n to_o one_o foot_n then_o by_o figure_n at_o the_o foot_n and_o the_o division_n all_o whole_a inch_n to_o 10_o foot_n than_o every_o whole_a foot_n and_o half_a and_o quarter_n or_o 10_o to_o 100_o or_o 140_o or_o 150_o foot_n and_o this_o i_o call_v the_o left-side_n the_o other_o the_o right_a side_n so_o that_o from_o one_o inch_n at_o the_o low_a end_n to_o one_o foot_n every_o inch_n have_v a_o figure_n from_o one_o foot_n to_o 10_o foot_n every_o foot_n have_v a_o figure_n and_o from_o 10_o foot_n to_o a_o 100_o every_o 10_o foot_n only_o be_v figure_v i_o have_v be_v very_o plain_a in_o explain_v this_o because_o i_o will_v avoid_v vain_a repetition_n in_o the_o follow_a use_n wherein_o you_o shall_v have_v first_o the_o most_o ordinary_a and_o easy_a question_n and_o then_o the_o more_o hard_a and_o critical_a and_o less_o useful_a the_o use_v follow_v prob._n 1._o a_o piece_n of_o timber_n be_v not_o square_a to_o make_v it_o square_n set_a the_o breadth_n on_o the_o left_a side_n to_o the_o breadth_n on_o the_o right_n then_o right_o against_o the_o inch_n and_o quarter_n thick_o find_v on_o the_o left_a side_n on_o the_o right_n be_v the_o inch_n square_v require_v example_n at_o 18_o broad_a and_o 6_o thick_a you_o shall_v find_v 10_o inch_n ⅜_n the_o side_n of_o the_o square_n require_v for_o if_o you_o set_v 6_o inch_n against_o 6_o inch_n on_o the_o right_n and_o left-side_n then_o right_a against_o 18_o inch_n or_o 1_o foot_n 6_o inch_n on_o the_o left_a on_o the_o right_n you_o have_v 10_o inch_n 1_o quarter_n and_o half_a a_o quarter_n for_o the_o side_n of_o the_o square_a equal_a to_o 18_o one_o way_n and_z 6_o the_o other_o way_n prob._n 2._o the_o side_n of_o the_o square_n give_v to_o find_v how_o much_o make_v a_o foot_n for_o all_o piece_n between_o 3_o or_o 4_o inch_n and_o 42_o inch_n square_a which_o be_v the_o most_o usual_a this_o be_v the_o best_a way_n set_v the_o inch_n or_o foot_n and_o inch_n square_a find_v out_o on_o the_o rightside_n to_o one_o foot_n on_o the_o left_a then_o right_o against_o one_o foot_n on_o the_o right_n on_o the_o left_a be_v the_o inch_n or_o foot_n and_o inch_n require_v to_o make_v a_o foot_n of_o timber_n example_n at_o 8_o inch_n square_v set_v 8_o on_o the_o right_n to_z 1_o foot_n on_o the_o left_a then_o right_o against_o 1_o foot_n on_o the_o right_n on_o the_o left_a be_v 2_o foot_n 3_o inch_n the_o length_n require_v to_o find_v how_o much_o be_v in_o a_o foot_n long_o just_o as_o the_o rule_n stand_v even_o look_v for_o the_o inch_n the_o piece_n be_v square_a on_o the_o right_n and_o on_o the_o left_a be_v the_o inch_n or_o foot_n and_o inch_n require_v example_n at_o 17_o inch_n square_a there_o be_v 2_o foot_n of_o timber_n in_o one_o foot_n long_o which_o if_o you_o multiply_v by_o the_o length_n you_o shall_v have_v the_o true_a content_n a_o very_a good_a way_n for_o large_a piece_n and_o very_o exact_a prob._n 3._o the_o side_n of_o the_o square_a and_o length_n give_v to_o find_v the_o content_a for_o all_o piece_n between_o one_o inch_n or_o 8_o 12_o part_n of_o a_o foot_n and_o 100_o foot_n this_o be_v the_o easy_a way_n set_a the_o word_n square_a or_o 1_o foot_n to_o the_o length_n on_o the_o left_a then_o right_o against_o the_o inch_n or_o foot_n and_o inch_n square_a on_o the_o right_n on_o the_o leave_v you_o have_v the_o content_a example_n at_o 9_o inch_n square_a and_o 20_o foot_n long_o set_v the_o long_a stroke_n by_o the_o word_n square_v to_o 20_o foot_n on_o the_o left_a then_o right_o against_o 9_o inch_n on_o the_o right_a side_n on_o the_o left-side_n you_o have_v 11_o foot_n and_o a_o quarter_n the_o content_a require_v but_o if_o it_o be_v a_o very_a great_a piece_n as_o above_o 100_o foot_n then_o call_v one_o foot_n on_o the_o left_a side_n 10_o foot_n and_o 2_o foot_n 20._o etc._n etc._n then_o 10_o shall_v be_v 100_o and_o 100_o a_o 1000_o that_o will_v supply_v to_o 1500_o foot_n in_o a_o piece_n but_o if_o you_o will_v go_v to_o a_o big_a piece_n then_o call_v 2_o foot_n on_o the_o leave_v 200_o etc._n etc._n then_o you_o shall_v have_v it_o to_o 150000_o foot_n in_o a_o piece_n such_o as_o i_o never_o see_v but_o for_o all_o small_a piece_n under_o 3_o inch_n square_a and_o above_o 1_o quarter_n of_o a_o inch_n do_v thus_o set_v 12_o on_o the_o top_n or_o the_o small_a 12_o when_o it_o be_v most_o convenient_a to_o use_v to_o the_o length_n on_o the_o left-side_n then_o right_o against_o the_o inch_n or_o 12_o s._n of_o one_o inch_n square_n sound_v on_o the_o rightside_n on_o the_o left_a be_v the_o true_a content_a require_v example_n at_o 2_o inch_n 3_o twelve_o or_o 1_o quarter_n square_a and_o 10_o foot_n long_o you_o shall_v find_v 4_o inch_n and_o a_o quarter_n ferè_fw-la but_o note_v when_o you_o use_v the_o small_a 12_o the_o answer_n be_v give_v in_o decimal_n of_o a_o foot_n therefore_o the_o top_n 12_o be_v best_a prob._n 4._o the_o square_a of_o a_o small_a piece_n of_o timber_n give_v to_o find_v how_o much_o make_v a_o foot_n for_o all_o piece_n from_o 12_o inch_n to_o 1_o inch_n square_a do_v thus_o set_v the_o inch_n and_o 12_o s._n or_o quarter_v square_a count_v one_o foot_n on_o the_o right_a side_n for_o one_o inch_n and_o 2_o foot_n for_o 2_o inch_n etc._n etc._n find_v out_o on_o the_o rightside_n to_o 100_o on_o the_o left_a then_o right_a against_o the_o upper_a or_o small_a 12_o on_o the_o right_n on_o the_o left_a be_v the_o length_n require_v to_o make_v a_o foot_n of_o timber_n example_n at_o 2_o inch_n ¼_n square_a you_o must_v have_v 28_o foot_n 4_o inch_n to_o make_v a_o foot_n prob._n 5._o under_o 1_o inch_n square_a to_o find_v the_o length_n of_o a_o foot_n set_a 1_o foot_n 9_o inch_n 6_o inch_n or_o 3_o inch_n find_v on_o the_o rightside_n for_o one_o inch_n ¾_n ½_n or_o ¼_n of_o a_o inch_n against_o 10_o on_o the_o left-side_n count_v for_o 100_o then_o right_a against_o the_o small_a 12_o you_o have_v the_o foot_n in_o length_n require_v example_n at_o 1_o inch_n square_a you_o find_v 144_o foot_n at_o ¾_n square_v 256_o foot_n at_o ½_n a_o inch_n square_a 576_o foot_n at_o ¼_n or_o a_o inch_n square_a you_o find_v 2034_o foot_n in_o length_n to_o make_v one_o foot_n of_o timber_n or_o if_o you_o set_v the_o former_a number_n 12_o 9_o 6_o 1_o against_o 1_o inch_n on_o the_o left_a then_o right_o against_o the_o upper_a 12_o be_v a_o number_n which_o multiply_v by_o 12_o be_v the_o number_n of_o foot_n require_v prob._n 6._o a_o great_a piece_n above_o 3_o foot_n ½_n square_a to_o find_v the_o length_n of_o a_o foot_n set_a the_o foot_n and_o inch_n on_o the_o right_n to_o 100_o on_o the_o left_a then_o right_a against_o small_a 12_o be_v the_o inch_n and_o 12_o s_o or_o 12_o s_o of_o a_o 12_o that_o go_v to_o make_v a_o foot_n example_n at_o 4_o foot_n square_a you_o have_v 9_o 12th_n or_o ¾_n of_o a_o inch_n to_o make_v a_o foot_n of_o timber_n at_o 5_o foot_n square_a 5._o 12th_n and_o 10._o 12th_n of_o a_o 12_o to_o make_v a_o foot_n thus_o you_o see_v the_o rule_n as_o now_o contrive_v resolve_v from_o 1_o quarter_n square_a to_o 12_o foot_n square_a the_o content_a or_o quantity_n of_o a_o foot_n of_o timber_n in_o length_n at_o any_o squareness_n without_o pen_n or_o compass_n chap._n v._o for_o round_a timber_n prob._n 1._o the_o number_n of_o inch_n that_o a_o piece_n of_o timber_n be_v about_o be_v give_v to_o find_v how_o much_o make_v a_o foot_n first_o for_o all_o ordinary_a piece_n set_v one_o foot_n on_o the_o left_a to_o the_o inch_n or_o foot_n and_o inch_n above_o on_o the_o right_n then_o right_o against_o tr_z for_o true_a measure_n or_o round_o for_o the_o usual_a measure_n be_v the_o foot_n or_o foot_n and_o inch_n require_v to_o make_v a_o foot_n of_o timber_n at_o that_o circumference_n about_o example_n at_o 4_o inch_n about_o 113_o foot_n 2_o inch_n be_v
tun_n and_o the_o like_a as_o in_o the_o 3_o proposition_n of_o the_o 5_o chapter_n you_o can_v work_v this_o without_o compass_n and_o thus_o it_o be_v do_v take_v the_o distance_n from_o the_o top_n 12_o to_o td_n then_o set_v one_o point_n in_o one_o foot_n on_o the_o right_n then_o slide_v the_o rule_n till_o the_o other_o point_n shall_v reach_v to_o the_o inch_n deep_a or_o long_o reckon_v as_o before_o in_o round_a measure_n viz._n 1_o inch_n for_o 10_o inch_n 2_o for_o 20_o etc._n etc._n on_o the_o left_a then_o count_v 2_o foot_n on_o the_o right_n for_o 24_o foot_n etc._n etc._n right_a against_o it_o on_o the_o left_a you_o shall_v have_v the_o content_a in_o foot_n but_o this_o be_v much_o easy_o wrought_v thus_o set_a 3_o foot_n on_o the_o right_a side_n the_o gage_n point_n for_o a_o barrel_n to_o 36_o the_o depth_n in_o inch_n of_o a_o tun_n on_o the_o left_a then_o right_o against_o 11_o for_o 6_o inch_n the_o half_a of_o 23_o foot_n be_v 53_o in_o barrel_n ¼_n the_o four_o part_n of_o 213_o the_o content_a according_a to_o 282_o inch_n in_o a_o gallon_n note_v i_o count_v 3_o foot_n on_o the_o left_a side_n for_o 30_o inch_n etc._n etc._n example_n a_o brewer_n tun_n near_o 23_o foot_n diameter_n and_o 3_o foot_n deep_a will_v hold_v 1230_o foot_n viz._n 205_o barrel_n seek_v thus_o much_o for_o the_o use_n of_o the_o line_n of_o number_n for_o timber-measure_n note_v that_o in_o the_o way_n of_o measure_v brewer_n tun_n every_o 6_o foot_n be_v a_o beer-barrel_n one_o foot_n 6_o gallon_n 2_o inch_n 1_o gallon_n 144_o square_a inch_n or_o 1_o inch_n a_o pottle_n 72_o square_a inch_n a_o quart_n 36_o a_o pint_n etc._n etc._n note_v that_o in_o large_a taper_n timber_n whether_o square_a or_o round_o when_o it_o be_v measure_v by_o the_o usual_a way_n that_o be_v by_o the_o middle_a square_n or_o gird_v or_o the_o 2_o square_n or_o girt_n put_v together_o and_o the_o half_a count_v for_o the_o equal_a square_n or_o gird_v i_o say_v a_o square_a of_o half_a the_o difference_n of_o the_o square_n or_o girt_n and_o one_o three_o part_n of_o the_o length_n be_v to_o be_v add_v to_o the_o former_a measure_n as_o be_v prove_v in_o the_o circle_n of_o proportion_n pag._n 50._o as_o thus_o for_o example_n suppose_v a_o taper-piece_n be_v at_o one_o end_n 16_o inch_n square_a at_o the_o other_o 30_o inch_n square_a and_o 30_o foot_n long_o the_o square_a in_o the_o middle_n be_v like_a to_o be_v 23_o inch_n the_o content_a than_o be_v 110_o foot_n now_o half_a the_o difference_n of_o the_o two_o end_n square_a be_v 7_o inch_n and_o one_o three_o part_n of_o the_o length_n be_v 10_o foot_n a_o piece_n 7_o inch_n square_a and_o 10_o foot_n long_o be_v 3_o foot_n 5_o inch_n which_o add_v be_v 113_o foot_n 5_o inch_n the_o true_a content_n of_o that_o taper_n piece_n abovesaid_a the_o general_a way_n of_o gage_v by_o this_o rule_n be_v thus_o set_v the_o w._n or_o the_o a._n for_o wine_n or_o ale-measure_n always_o to_o the_o length_n of_o the_o vessel_n find_v out_o on_o the_o left_a then_o right_a against_o the_o mean_a diameter_n find_v out_o on_o the_o right_a side_n on_o the_o left_a be_v the_o answer_n require_v example_n at_o 30_o inch_n diameter_n and_o 36_o long_a you_o shall_v find_v about_o 90_o gallon_n ½_n ale-measure_n the_o gage-point_n for_o a_o beer_n barrel_n be_v near_o 3_o foot_n and_o the_o ale-barrel_n near_o 34_o inch_n which_o use_v thus_o set_v 3_o to_o the_o depth_n of_o the_o tun_n then_o right_o against_o the_o meridian_n be_v the_o content_a in_o barrel_n example_n set_a 3_o to_o 36_o inch_n and_o then_o right_a against_o 5_o foot_n diana_n be_v 10_o barrel_n of_o beer-measure_n a_o very_a good_a and_o speedy_a way_n finis_fw-la the_o table_n chap._n i._n the_o description_n of_o the_o plain_a carpenters-rule_n page_n 1_o chap._n ii_o to_o two_o number_n give_v to_o find_v a_o three_o four_o five_o and_o six_o etc._n etc._n geometrical_o proportional_a prob._n 1._o p._n 25_o chap._n iii_o the_o use_n of_o the_o line_n of_o number_n in_o superficial_a or_o board-measure_n and_o the_o convenience_n of_o decimal-measure_n pag._n 51_o chap._n iu_o the_o use_n of_o the_o line_n of_o number_n in_o measure_v of_o land_n by_o perch_n and_o acre_n pag._n 64_o chap._n v._o the_o use_n of_o the_o line_n of_o number_n in_o measure_v of_o solid_a measure_n such_o as_o timber_n stone_n or_o such_o like_a solid_a body_n pag._n 76_o chap._n vi_o the_o use_n of_o the_o line_n of_o number_n in_o measure_v of_o cylinder_n as_o round_a timber_n pillar_n and_o ship_n mast_n be_v pag._n 84_o chap._n vii_o the_o use_n of_o the_o line_n of_o number_n in_o gage_v of_o vessel_n pag._n 94_o chap._n viii_o the_o use_n of_o the_o line_n in_o question_n that_o concern_v military_a order_n pag._n 137_o chap._n ix_o the_o use_n of_o the_o line_n in_o question_n of_o interest_n and_o annuity_n pag._n 142_o chap._n x._o the_o application_n of_o the_o line_n to_o domestic_a affair_n pag._n 148_o chap._n xi_o to_o measure_v any_o superficies_n or_o solid_a by_o multiplication_n only_o either_o by_o foot-measure_n or_o inch_n only_o pag._n 163_o chap._n i._o the_o use_n of_o the_o line_n of_o number_n on_o a_o sliding-rule_a for_o the_o measure_n of_o superficial_a or_o solid_a measure_n pag._n 211_o chap._n ii_o to_o measure_n board_n or_o glass_n by_o the_o sliding-rule_a the_o length_n and_o breadth_n be_v give_v pag._n 218_o chap._n iii_o to_o measure_n timber_n by_o the_o slide_v rule_n pag._n 222_o chap._n iu_o the_o description_n of_o the_o line_n of_o number_n on_o a_o sliding-rule_a to_o measure_v solid_a measure_n only_o according_a to_o mr._n white_n be_v first_o contrivance_n but_o much_o augment_v by_o j.b._n p._n 228_o chap._n v._o for_o round_a timber_n pag._n 237_o chap._n vi_o to_o measure_n timber_n have_v the_o diameter_n &_o length_n give_v p._n 242_o
the_o description_n and_o use_v of_o the_o carpenters-rule_a together_o with_o the_o use_n of_o the_o line_n of_o number_n inscribe_v thereon_o in_o arithmetic_n and_o geometry_n and_o the_o application_n thereof_o to_o the_o measure_v of_o superficies_n and_o solid_n gage_v of_o vessel_n military_a order_n interest_n and_o annuity_n with_o table_n of_o reduction_n etc._n etc._n to_o which_o be_v add_v the_o use_n of_o a_o portable_a geometrical_a sundial_n with_o a_o nocturnal_a on_o the_o backside_n for_o the_o exact_a and_o ready_a find_v the_o hour_n of_o the_o day_n and_o night_n and_o other_o mathematical_a conclusion_n also_o of_o a_o vniversal-dial_n for_o the_o use_v of_o seaman_n or_o other_o with_o the_o use_n of_o a_o slide_v or_o glasiers-rule_n and_o mr._n white_n be_v rule_n for_o solid_a measure_n collect_v and_o fit_v to_o the_o mean_a capacity_n by_o j._n browne_n london_n print_v by_o w._n g._n for_o william_n fisher_n at_o the_o postern-gate_n near_o tower-hill_n 1667_o to_o the_o reader_n courteous_a reader_n whosoever_o thou_o be_v i_o shall_v entreat_v thou_o to_o take_v in_o good_a part_n this_o collection_n of_o the_o ule_n of_o the_o line_n of_o number_n common_o call_v or_o best_o know_v to_o artificer_n by_o the_o name_n of_o canter_n line_n i_o write_v it_o not_o as_o a_o new_a thing_n but_o rather_o as_o a_o renovation_n of_o a_o old_a one_o and_o the_o great_a motive_n that_o provoke_v and_o stimed_a i_o up_o to_o it_o be_v this_o i_o make_v and_o sell_v rule_n with_o gunter_n line_n on_o they_o many_o a_o one_o will_v say_v to_o i_o how_o shall_v i_o come_v to_o know_v the_o use_n of_o this_o line_n i_o reply_v that_o in_o mr._n cunter_n book_n there_o the_o use_n be_v set_v forth_o but_o because_o of_o the_o obscurity_n of_o the_o instruction_n there_o as_o to_o the_o read_n of_o the_o line_n and_o also_o the_o dearness_n of_o the_o book_n many_o a_o one_o that_o will_v glad_o learn_v be_v deter_v from_o take_v pain_n therein_o lest_o they_o shall_v spend_v time_n and_o oil_n to_o no_o purpose_n and_o also_o for_o want_v of_o case_n fit_a to_o their_o purpose_n they_o be_v apt_a to_o think_v it_o as_o to_o no_o purpose_n therefore_o that_o i_o may_v be_v as_o a_o abcdarian_a to_o the_o instrumental_a way_n of_o work_v be_v the_o most_o proper_a for_o mechanic_n man_n such_o as_o carpenter_n joiner_n mason_n bricklayer_n and_o the_o like_a which_o for_o the_o most_o part_n be_v ignorant_a of_o arithmetic_n and_o that_o knowledge_n may_v be_v increase_v any_o way_n i_o think_v it_o convenient_a and_o make_v no_o doubt_n of_o a_o good_a benefit_n to_o accrue_v thereby_o to_o they_o who_o capacity_n and_o purse_n in_o these_o critical_a time_n can_v well_o reach_v to_o other_o more_o difficult_a and_o dear_a author_n i_o shall_v not_o much_o apologise_v for_o myself_o as_o to_o style_v or_o manner_n of_o write_v be_v like_o myself_o what_o it_o be_v i_o beseech_v you_o accept_v in_o as_o good_a part_n as_o it_o be_v offer_v i_o may_v have_v implore_v the_o aid_n of_o some_o more_o able_a pen_n but_o i_o think_v mechanic_n man_n best_a understand_v they_o of_o their_o own_o profession_n in_o this_o and_o other_o discourse_n because_o they_o be_v man_n of_o the_o same_o stature_n in_o knowledge_n and_o expression_n possible_o it_o may_v provoke_v some_o to_o a_o more_o accurate_a and_o universal_a treatise_n in_o the_o mean_a time_n take_v this_o as_o a_o harbinger_n till_o that_o come_v and_o be_v apt_a to_o think_v that_o ship-carpenter_n or_o seafaring_a man_n may_v light_v of_o it_o i_o have_v add_v in_o the_o conclusion_n as_o a_o appendix_n the_o use_v of_o a_o particular_a and_o universal_a sundial_n also_o of_o a_o nocturnal_a or_o star-dial_n by_o which_o the_o hour_n of_o the_o day_n and_o night_n may_v be_v have_v in_o all_o place_n of_o the_o north_n latitude_n from_o 1_o degree_n to_o 66.30_o where_o the_o day_n artificial_a be_v 24_o hour_n long_o in_o all_o which_o i_o have_v labour_v after_o brevity_n and_o plainness_n as_o much_o as_o may_v be_v and_o to_o the_o end_n you_o may_v learn_v to_o know_v the_o star_n i_o have_v be_v at_o the_o charge_n to_o print_v a_o paper_n with_o all_o the_o principal_a star_n in_o the_o northern_a hemisphere_n from_o the_o pole_n to_o the_o equinoctial_a so_o that_o you_o may_v take_v any_o in_o that_o compass_n and_o they_o that_o please_v may_v do_v the_o like_a for_o the_o south_n hemisphere_n so_o i_o wish_v you_o may_v reap_v much_o profit_n thereby_o and_o remain_v willing_a to_o serve_v you_o in_o what_o i_o may_v j._n b._n at_o the_o sphere_n and_o dial_n in_o the_o great_a minories_n lond._n 66._o the_o description_n and_o use_v of_o the_o carpenters-plain-rule_n as_o it_o be_v now_o make_v chap._n 1._o i_o think_v good_a to_o add_v this_o chapter_n for_o the_o sake_n of_o some_o possible_o young_a beginner_n and_o they_o that_o will_v not_o be_v ignorant_a altogether_o in_o the_o way_n of_o measure_v therewith_o though_o they_o may_v seldom_o have_v occasion_n of_o it_o and_o also_o know_v that_o they_o that_o have_v the_o most_o knowledge_n once_o have_v little_a enough_o and_o far_o i_o find_v by_o experience_n that_o many_o there_o be_v that_o can_v measure_v by_o the_o plain_a rule_n that_o can_v use_v the_o line_n of_o number_n and_o some_o also_o know_v not_o the_o use_n of_o the_o plain_a rule_n neither_o for_o these_o reason_n i_o have_v add_v this_o chapter_n of_o the_o description_n and_o use_n of_o the_o carpenters-plain-rule_a it_o be_v call_v a_o carpenter_n rule_n rather-then_a a_o joiner_n bricklayer_n mason_n glasier_n or_o the_o like_a i_o suppose_v because_o they_o find_v the_o most_o absolute_a necessity_n of_o it_o in_o their_o way_n for_o they_o have_v as_o much_o or_o more_o occasion_n to_o use_v it_o than_o most_o other_o trade_n though_o the_o same_o rule_n must_v measure_v all_o kind_n of_o superficies_n and_o solid_n which_o two_o measure_n measure_v every_o visible_a substance_n which_o be_v to_o be_v measure_v and_o it_o be_v usual_o make_v of_o box_n or_o holly_n 24_o inch_n in_o length_n and_o common_o a_o inch_n and_o half_a or_o a_o inch_n and_o quarter_n in_o breadth_n and_o of_o thickness_n at_o pleasure_n and_o on_o the_o one_o side_n it_o be_v divide_v into_o 24_o equal_a inch_n according_a to_o the_o standard_n at_o guildhall_n london_n and_o every_o one_o of_o those_o 24_o inch_n be_v divide_v into_o eight_o part_n that_o be_v half_n quarter_n and_o half-quarter_n and_o the_o half-inche_n be_v know_v from_o the_o quarter_n and_o quarter_n from_o the_o half-quarter_n by_o short_a longer_z and_o long_a stroke_n and_o at_o every_o whole_a inch_n be_v set_v figure_n proceed_v from_o 1_o to_o 24_o from_o the_o right_a hand_n towards_o the_o left_a and_o these_o part_n and_o figure_n be_v on_o both_o edge_n of_o one_o side_n of_o the_o rule_n both_o way_n number_v to_o the_o intent_n that_o howsoever_o you_o hold_v the_o rule_n you_o have_v 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not_o only_o easy_a but_o even_o natural_a to_o every_o man_n for_o hold_v the_o rule_n in_o the_o left_a hand_n and_o apply_v it_o to_o the_o board_n or_o any_o thing_n to_o be_v measure_v you_o have_v your_o desire_n but_o now_o for_o the_o use_n of_o the_o other_o side_n i_o shall_v show_v it_o in_o two_o or_o three_o example_n in_o each_o measure_n that_o be_v superficial_a or_o solid_a and_o first_o in_o superficial_a or_o board-measure_n example_n the_o first_o the_o breadth_n of_o any_o superficies_n as_o board_n or_o glass_n or_o the_o like_a be_v give_v to_o find_v how_o much_o in_o length_n make_v a_o square_a foot_n or_o be_v equal_a to_o 12_o inch_n broad_a and_o 12_o inch_n long_o for_o so_o much_o be_v a_o true_a foot_n superficial_a to_o do_v this_o look_v for_o the_o number_n of_o inch_n your_o superficies_n be_v broad_a in_o the_o line_n of_o board-measure_n and_o keep_v your_o finger_n there_o and_o right_a against_o it_o on_o the_o inch_n side_n you_o have_v the_o number_n of_o inch_n that_o go_v to_o make_v up_o a_o foot_n of_o board_n or_o glass_n or_o any_o superficies_n suppose_v i_o have_v a_o piece_n 8_o inch_n broad_a how_o many_o inch_n make_v a_o foot_n i_o look_v for_o 8_o on_o the_o board-measure_n and_o just_a against_o my_o finger_n be_v set_v to_o 8_o on_o the_o inch_n side_n i_o find_v 18_o and_o so_o many_o inch_n long_o at_o that_o breadth_n go_v to_o make_v a_o foot_n superficial_a again_o suppose_v it_o have_v be_v 18_o inch_n broad_a than_o i_o find_v 8_o inch_n in_o length_n to_o make_v a_o foot_n superficial_a but_o if_o 36_o inch_n broad_a than_o 4_o inch_n in_o length_n make_v a_o foot_n or_o you_o may_v do_v it_o more_o easy_a thus_o take_v your_o rule_n and_o hold_v it_o in_o your_o left_a hand_n and_o apply_v it_o to_o the_o breadth_n of_o your_o board_n or_o glass_n make_v the_o end_n that_o be_v next_o 36_o even_o with_o one_o edge_n of_o the_o board_n or_o glass_n and_o the_o other_o edge_n of_o the_o board_n show_v how_o many_o inch_n or_o quarter_n of_o a_o inch_n go_v to_o make_v a_o foot_n of_o the_o board_n or_o glass_n this_o be_v but_o the_o converse_n of_o the_o former_a and_o needs_o no_o example_n for_o lay_v the_o rule_n to_o it_o and_o look_v on_o the_o board-measure_n you_o have_v your_o desire_n or_o else_o you_o may_v do_v thus_o in_o all_o narrow_a piece_n under_o 6_o inch_n broad_a as_o suppose_v 3_o ¼_n double_a 3_o ¼_n it_o make_v 6_o ½_n than_o i_o say_v that_o twice_o the_o length_n from_o ½_n to_o the_o end_n of_o the_o rule_n shall_v make_v a_o foot_n superficial_a or_o so_o much_o in_o length_n make_v a_o foot_n example_n the_o second_o a_o superficies_n of_o any_o length_n and_o breadth_n to_o find_v the_o content_a that_o be_v how_o many_o foot_n there_o be_v in_o it_o have_v find_v the_o breadth_n and_o how_o much_o make_v one_o foot_n turn_v that_o over_o as_o many_o time_n as_o you_o can_v for_o so_o many_o foot_n be_v there_o in_o that_o superficies_n but_o if_o it_o be_v a_o great_a breadth_n than_o you_o may_v turn_v it_o over_o two_o or_o three_o time_n and_o then_o take_v that_o together_o and_o so_o say_v 2_o 4_o 6_o 8_o 10_o etc._n etc._n or_o 3_o 6_o 9_o 12_o 15_o 18_o 21_o and_o till_o you_o come_v to_o the_o end_n of_o the_o superficies_n note_v that_o the_o three_o short_a stroke_n between_o figure_n and_o figure_n be_v the_o quarter_n as_o thus_o 8_o and_o a_o quarter_n 8_o and_o a_o half_a 8_o and_o three_o quarter_n than_o 9_o etc._n etc._n till_o you_o come_v to_o 30_o and_o then_o 30_o and_o a_o half_a 31_o etc._n etc._n to_o 36._o and_o if_o it_o be_v divide_v any_o further_a it_o be_v to_o whole_a inch_n only_o to_o 100_o the_o use_n of_o the_o table_n at_o the_o beginning_n end_n of_o the_o board-measure_n first_o you_o have_v five_o rank_n of_o figure_n the_o first_o or_o uppermost_o be_v the_o number_n of_o inch_n that_o any_o superficies_n be_v broad_a and_o the_o other_o 4_o be_v foot_n and_o inch_n and_o part_n of_o a_o inch_n that_o go_v to_o make_v up_o a_o foot_n of_o superficial_a measure_n as_o for_o example_n at_o 5_o inch_n broad_a you_o must_v have_v 2_o foot_n 4_o inch_n and_o 4_o fifths_o of_o a_o inch_n more_o that_o be_v 4_o parts_z of_o 5_o the_o inch_n be_v divide_v into_o 5_o part_n but_o where_o you_o have_v but_o two_o figure_n beside_o the_o uppermost_a and_o cipher_n in_o the_o rest_n you_o must_v read_v it_o thus_o at_o two_o inch_n broad_a you_o must_v have_v six_o foot_n in_o length_n no_o inch_n no_o part_n thus_o much_o for_o the_o use_v of_o the_o line_n of_o superficial_a or_o board-measure_n the_o use_n of_o the_o line_n of_o solid_a or_o timber-measure_n the_o use_n of_o this_o line_n be_v much_o like_o the_o former_a for_o first_o you_o must_v learn_v how_o much_o your_o piece_n be_v square_a and_o then_o look_v for_o the_o same_o number_n on_o the_o line_n of_o timber-measure_n and_o the_o space_n from_o thence_o to_o the_o end_n of_o the_o rule_n be_v the_o true_a length_n at_o that_o squareness_n to_o make_v a_o foot_n of_o timber_n example_n i_o have_v a_o piece_n that_o be_v 9_o inch_n square_a i_o look_v for_o 9_o on_o the_o line_n of_o timber-measure_n and_o then_o i_o say_v the_o space_n from_o 9_o to_o the_o end_n of_o the_o rule_n be_v the_o true_a length_n to_o make_v a_o foot_n of_o timber_n and_o it_o be_v near_o 21_o inch_n 3_o eight_o of_o a_o inch._n again_o suppose_v it_o be_v 24_o inch_n square_a than_o i_o find_v 3_o inch_n in_o length_n make_v a_o foot_n for_o so_o i_o find_v 3_o inch_n on_o the_o other_o side_n just_a against_o 24_o but_o if_o it_o be_v small_a timber_n as_o under_o 9_o inch_n square_a than_o you_o must_v seek_v the_o square_n in_o the_o upper_a rank_n in_o the_o table_n and_o right_a under_o you_o have_v the_o foot_n inch_n and_o part_n that_o go_v to_o make_v a_o foot_n square_a as_o be_v in_o the_o table_n of_o board-measure_n as_o suppose_v 7_o inch_n square_a than_o you_o must_v seek_v the_o square_n in_o the_o upper_a rank_n in_o the_o table_n and_o right_a under_o you_o have_v the_o foot_n inch_n and_o part_n that_o go_v to_o make_v a_o foot_n square_a as_o be_v in_o the_o table_n of_o board-measure_n as_o suppose_v 7_o inch_n square_a i_o find_v in_o the_o table_n 2_o foot_n 11_o inch_n and_o 2_o seventh_n of_o a_o inch_n divide_v into_o 7_o part_n and_z 8_o you_o find_v only_o 2_o foot_n 3_o inch_n o_o part_n and_o so_o for_o the_o rest_n but_o if_o a_o piece_n be_v not_o just_a square_n but_o broad_a at_o one_o side_n than_o the_o other_o than_o the_o usual_a way_n be_v to_o add_v they_o both_o together_o and_o to_o take_v half_a for_o the_o square_a but_o if_o they_o differ_v much_o then_o this_o way_n will_v be_v very_o erroneous_a and_o therefore_o i_o refer_v you_o to_o the_o follow_a rule_n but_o if_o it_o be_v round_a timber_n then_o take_v a_o string_n and_o gird_v it_o about_o and_o the_o four_o part_n of_o this_o be_v usual_o allow_v for_o the_o side_n of_o the_o square_n and_o then_o you_o deal_v with_o it_o as_o if_o it_o be_v just_a square_n thus_o much_o for_o the_o use_v of_o the_o carpenter_n plain_a rule_n i_o have_v also_o add_v a_o table_n for_o the_o under-measure_n for_o timber_n &_o board_n to_o inch_n and_o quarter_n and_o the_o use_n be_v thus_o look_v on_o the_o left_a side_n for_o the_o number_n of_o inch_n and_o quarter_n your_o timber_n be_v square_a or_o your_o board_n be_v broad_a and_o right_a against_o it_o you_o have_v the_o foot_n inch_n ten_o part_n of_o a_o inch_n and_o ten_o of_o a_o ten_o or_o hundred_o part_n of_o a_o inch_n that_o go_v to_o make_v a_o foot_n of_o timber_n or_o board_n example_n a_o piece_n of_o timber_n 3_o inch_n 1_o quarter_n square_a will_v have_v part_n to_o make_v a_o foot_n and_o a_o board_n 3_o inch_n and_o a_o quarter_n broad_a must_v have_v in_o length_n to_o make_v a_o foot_n and_o so_o of_o the_o rest_n as_o be_v plain_a by_o the_o table_n and_o needs_o no_o further_a explication_n be_v common_a to_o most_o artificer_n a_o table_n for_o the_o under_o timber-measure_n to_o inch_n &_o quarter_n a_o table_n for_o the_o vnder-board-m_a to_o inch_n &_o qu._n inch._n qu._n foot_n inch_n jop_n ●oop_v  _fw-fr foot_n inc_fw-la 10._o 100_o  _fw-fr 1_o 2304_o 0_o 0_o 0_o  _fw-fr 48_o 0_o 0_o 0_o  _fw-fr 2_o 576_o 0_o 0_o 0_o  _fw-fr 24_o 0_o 0_o 0_o  _fw-fr 3_o 256_o 0_o 0_o 0_o  _fw-fr 16_o 0_o 0_o 0_o 1_o 1_o 144_o 0_o 0_o 0_o 1_o 12_o 0_o 0_o 0_o
use_n be_v thus_o take_v the_o diameter_n of_o your_o vessel_n at_o the_o top_n and_o bottom_n in_o inches_n and_o 10_o part_n and_o add_v they_o together_o then_o if_o the_o side_n be_v straight_o count_v the_o half_a for_o a_o mean_a diameter_n but_o if_o the_o staff_n be_v swell_v outward_o then_o use_v the_o proportion_n before_o as_o 10_o to_o 7_o to_o find_v the_o mean_a diameter_n thus_o have_v find_v the_o mean_a diameter_n look_v for_o the_o same_o on_o the_o small_a inch_n and_o there_o you_o shall_v have_v the_o true_a quantity_n of_o ale-gallon_n in_o one_o inch_n deep_a which_o number_n if_o you_o multiply_v by_o the_o inch_n deep_a the_o product_n shall_v be_v the_o content_a in_o ale-gallon_n example_n suppose_v a_o brewer_n tun_n at_o the_o top_n be_v 82_o in_o at_o bottom_n 72_o and_o deep_a 38_o inch_n diameter_n top_n bottom_n sum_n half_n sum_fw-la or_o mean_a diameter_n then_o if_o you_o look_v for_o 77_o among_o the_o small_a inch_n you_o shall_v find_v right_a against_o it_o 16_o gallon_n and_o 49_o or_o near_o a_o half_a which_o multiply_v by_o 38_o the_o inch_n deep_a make_v 626_o gall._n 62_o part_n for_o the_o extent_n on_o the_o line_n of_o number_n from_o 1_o to_o 16-49_a shall_v reach_v the_o same_o way_n from_o 38_o the_o inch_n deep_a to_o 626_o ½_n the_o content_a note_v that_o by_o this_o rule_n you_o may_v make_v a_o table_n of_o the_o content_a of_o any_o round_a taper_n tun_n of_o how_o much_o shall_v be_v in_o or_o out_o at_o any_o number_n of_o inch_n of_o fullness_n or_o emptiness_n another_o example_n suppose_v a_o vessel_n be_v in_o diameter_n at_o top_n 160_o inch_n 5_o ten_o and_o at_o bottom_n 148_o inch_n and_o 8_o ten_o the_o sum_n be_v 309-3_a the_o half_n be_v 154-6_a ½_n for_o a_o mean_a diameter_n the_o gage-line_n right_a against_o 154-6_a ½_n be_v 64.63_o which_o multiply_v by_o 41.70_o the_o inch_n and_o ten_o deep_o make_v which_o last_o 4_o figure_n be_v fraction_n and_o part_n of_o a_o gallon_n note_v if_o in_o a_o great_a quantity_n of_o gallon_n if_o this_o way_n prove_v to_o be_v somewhat_o less_o than_o in_o truth_n there_o may_v be_v or_o that_o it_o do_v not_o agree_v with_o the_o former_a rule_n take_v this_o for_o answer_v it_o be_v as_o near_o as_o any_o such_o instrumental_a way_n can_v be_v compose_v and_o of_o two_o error_n take_v the_o least_o and_o therefore_o may_v please_v till_o a_o better_a come_v note_v also_o that_o by_o alter_v the_o inch_n that_o go_v by_o the_o gage-line_n it_o may_v be_v make_v fit_a for_o ale_n or_o beer-barrel_n or_o any_o other_o great_a or_o lesser_a measure_n whatsoever_o and_o the_o error_n allow_v for_o by_o take_v the_o diameter_n more_o exact_o as_o experience_n and_o practice_n will_v make_v easy_a note_v also_o the_o same_o line_n be_v improve_v by_o mr._n newton_n i_o think_v but_o the_o way_n how_o be_v in_o print_n in_o wingate_n rule_n of_o proportion_n i_o shall_v say_v nothing_o to_o it_o this_o way_n be_v full_a as_o exact_v and_o more_o easy_a the_o use_n of_o the_o rule_n to_o find_v the_o emptiness_n of_o butt_n barrel_n or_o kilderkin_n the_o use_n hereof_o be_v very_o easy_a for_o if_o you_o put_v the_o beginning_n end_n of_o the_o rule_n downright_o at_o the_o bunghole_n home_o to_o the_o opposite_a side_n how_o far_o soever_o the_o liquor_n wet_v the_o stick_n the_o figure_n will_v show_v how_o many_o gallon_n be_v in_o and_o the_o compliment_n thereof_o to_o the_o whole_a content_n be_v what_o it_o want_v of_o be_v full_a example_n suppose_v i_o have_v a_o part_n or_o a_o whole_a barrel_n of_o ale_n in_o a_o beer-barrel_n for_o there_o be_v or_o aught_o to_o be_v no_o ale-barrel_n and_o i_o will_v know_v how_o much_o be_v in_o or_o out_o put_v the_o line_n for_o a_o barrel_n downright_a in_o the_o bunghole_n to_o the_o opposite_a side_n and_o then_o suppose_v it_o wet_v 13_o inch_n 8_o ten_o than_o there_o be_v 23_o gallon_n in_o and_z 13_o empty_z but_o if_o you_o have_v put_v the_o rule_n for_o a_o kilderkin_n and_o it_o have_v wet_v as_o before_o then_o there_o will_v have_v be_v but_o 15_o gallon_n in_o and_z 3_o out_o the_o compliment_n of_o 15_o to_o 18_o for_o 15_o and_o 3._o make_v 18._o but_o if_o you_o have_v use_v the_o line_n for_o a_o but_o there_o will_v have_v be_v about_o 52_o gallon_n in_o or_o of_o some_o roundish_n butt_v about_o 57_o gallon_n in_o and_o 63_o out_o the_o compliment_n to_o 57_o to_o 120_o the_o whole_a content_n in_o a_o but._n the_o use_n of_o the_o rule_n for_o corn_n and_o for_o sea-cole_n measure_v take_v the_o rule_n with_o the_o beginning_n end_n from_o you_o and_o take_v the_o diameter_n of_o the_o measure_n whatsoever_o it_o be_v and_o the_o figure_n on_o the_o rule_n right_o against_o the_o inch_n diameter_n shall_v express_v how_o many_o inch_n and_o hundred_o part_n that_o measure_n ought_v to_o be_v in_o depth_n to_o make_v a_o true_a measure_n two_o example_n of_o every_o measure_n a_o pint_n measure_n 2_o inch_n and_o ½_n diameter_n aught_o to_o be_v 6_o inch_n 95_o part_n deep_a and_o at_o 2_o inch_n 3_o quarter_n over_o 5._o 75_o deep_a a_o quart_n measure_n 3_o inches_n diam_fw-la aught_o to_o be_v 9_o inch_n and_o 63_o part_n deep_a and_o at_o 3_o inch_n 3_o quarter_n diana_n 6-15_a part_n deep_a a_o pottle-measure_n 4_o inch_n diameter_n aught_o to_o be_v 10_o inch_n 82_o part_n deep_a and_o at_o 5_o ½_n inches_n diameter_n 5.73_o inch_n deep_a a_o gallon_n or_o half_a peck_n 6_o ½_n broad_a aught_o to_o be_v 8-19_a deep_a at_o 9_o inch_n broad_n 4-26_a deep_a a_o peck_n 13_o inch_n broad_a or_o diameter_n aught_o to_o be_v 6-94_a deep_a and_o at_o 12_o inch_n broad_a 4-82_a deep_a a_o half_a bushel_n 13_o inch_n broad_a must_v be_v 8-23_a but_o at_o 16_o inch_n broad_a but_o 5-42_a deep_a a_o corn-bushell_n of_o 17_o inch_n broad_a aught_o to_o be_v 9-62_a deep_a but_o of_o 21_o inch_n broad_a 6-29_a but_o for_o sea-coal_n measure_v take_v the_o next_o number_n forward_o towards_o the_o beginning_n as_o suppose_v a_o cole-bushell_n be_v 18_o ½_n broad_a on_o the_o inside_n the_o rule_n say_v it_o ought_v to_o be_v 8-12_a but_o you_o may_v take_v 8-33_a the_o number_n next_o towards_o the_o begin_n viz._n 8-33_a because_o a_o corn-bushel_n ought_v to_o hold_v a_o quart_n more_o than_o a_o corn_n bushel_n of_o water_n and_o the_o diameter_n from_o outside_n to_o outside_n ought_v to_o be_v 19_o inch_n and_o ½_n the_o half_a bushel_n 14½_a the_o peck_n 11_o ½_n the_o half_a peck_n 9_o ½_n to_o make_v the_o heap_n to_o bear_v a_o proportion_n to_o the_o fat_v a_o instrumental_a way_n to_o find_v the_o emptiness_n of_o any_o vessel_n by_o the_o line_n of_o number_n close-cask_n extend_v the_o compass_n from_o the_o whole_a diameter_n at_o the_o bung_n to_o the_o next_o 1._o the_o same_o extent_n shall_v reach_v the_o same_o way_n from_o the_o inch_n and_o part_n of_o emptiness_n to_o a_o four_o number_n on_o a_o line_n of_o artificial_a segment_n join_v to_o the_o line_n of_o number_n which_o four_o number_n keep_v then_o as_o 1_o the_o whole_a content_n in_o gallon_n so_o be_v the_o four_o number_n keep_v to_o the_o emptiness_n in_o the_o same_o gallon_n the_o content_n be_v example_n for_o a_o beer-barrel_n at_o 5_o inch_n dry_a or_o 17_o ½_n wet_a or_o 5_o empty_a and_o 17_o ½_n full_a the_o extent_n from_o 22._o 5_o to_o 1_o shall_v reach_v from_o 5_o to_o 16._o 4_o on_o the_o segment_n or_o from_o 17._o 5_o to_o 83._o 6._o then_o the_o extent_n from_o 1_o to_o 36._o shall_v reach_v the_o same_o way_n from_o 16-4_a to_o 5-9_a for_o so_o much_o out_o and_o from_o 83-6_a to_o 30-1_a for_o so_o much_o in_o which_o two_o sum_n put_v together_o make_v 36_o gallon_n you_o may_v if_o you_o will_v say_v as_o 1_o to_o the_o mean_a diameter_n so_o be_v the_o mean_a emptiness_n etc._n etc._n and_o the_o work_n will_v be_v somewhat_o more_o exact_a but_o this_o be_v near_o the_o matter_n and_o easy_a these_o collection_n of_o gage_v courteous_a reader_n be_v the_o issue_n of_o several_a year_n practice_n of_o several_a man_n as_o mr._n oughtre_v mr._n gunter_n mr._n renolds_n mr._n collins_n and_o many_o help_n and_o addition_n of_o my_o own_o and_o if_o my_o brevity_n and_o insufficiency_n wrong_v they_o not_o they_o may_v be_v welcome_a to_o many_o a_o learner_n however_o very_o convenient_a for_o the_o further_a use_n of_o the_o line_n of_o number_n and_o so_o i_o leave_v it_o as_o the_o most_o general_a gage_v that_o at_o present_a be_v extant_a one_o example_n more_o by_o mr._n oughtre_v be_v way_n suppose_v a_o great_a vessel_n who_o length_n be_v 70._o
half_a 3_o inch_n be_v one_o quarter_n 9_o inch_n be_v the_o quarter_n 4_o inch_n be_v one_o three_o 8_o inches_n be_v two_o three_o and_o 1_o inch_n be_v somewhat_o less_o than_o one_o ten_o on_o rule_n on_o the_o other_o or_o second_o side_n then_o right_a against_o the_o length_n find_v on_o the_o first_o on_o the_o second_o be_v the_o content_a require_v example_n at_o 3_o foot_n 3_o inch_n broad_a and_o 9_o foot_n 9_o inch_n long_o you_o shall_v have_v 31_o foot_n 8_o inch_n ½_n near_o the_o very_a same_o be_v for_o foot-measure_n only_o much_o easy_a because_o the_o division_n on_o the_o line_n of_o number_n and_o on_o the_o line_n of_o foot-measure_n on_o the_o edge_n do_v agree_v together_o this_o be_v premise_v as_o to_o the_o use_n of_o it_o you_o may_v apply_v all_o the_o former_a precept_n and_o example_n to_o this_o rule_n as_o well_o as_o the_o other_o chap._n iii_o to_o measure_n timber_n by_o the_o sliding-rule_a prob._n 1._o to_o measure_v timber_n by_o this_o rule_n be_v nothing_o else_o but_o to_o work_v the_o double-rule_n of_o three_o as_o for_o example_n at_o 8_o inch_n square_a and_o 20_o foot_n long_o i_o will_v know_v the_o content_a set_a 12_o if_o the_o side_n of_o the_o square_n be_v give_v in_o inch_n or_o 1_o if_o in_o foot-measure_n on_o the_o first_o side_n to_z 8_o the_o inch_n square_a on_o the_o second_o then_o right_a against_o 12_o on_o the_o second_o side_n on_o the_o first_o be_v 18_o the_o four_o proportional_a part_n then_o for_o the_o second_o work_n set_v 18_o the_o four_o proportional_a last_o find_v to_o 8_o the_o inch_n square_a on_o the_o second_o then_o right_o against_o 20_o the_o length_n be_v 9_o the_o content_a require_v or_o rather_o thus_o set_v 12_o against_o 8_o then_o right_o against_o 20_o on_o the_o same_o side_n 12_o be_v be_v 13.5_o near_a on_o then_o look_v for_o 13.5_o fere_n on_o the_o first_o side_n and_o right_a against_o it_o on_o the_o second_o be_v 9_o foot_n the_o content_a require_v prob._n 2._o to_o measure_v a_o piece_n that_o be_v not_o square_a set_a 12_o if_o you_o use_v the_o inch_n or_o 1_o if_o you_o use_v foot-measure_n on_o the_o first_o side_n to_o the_o inch_n thick_a on_o the_o second_o then_o right_a against_o the_o inch_n broad_a on_o the_o first_o side_n on_o the_o second_o be_v a_o four_o proportional_a then_o in_o the_o second_o operation_n set_v 12_o on_o the_o first_o side_n to_o the_o four_o proportional_a on_o the_o second_o then_o right_o against_o the_o length_n on_o the_o first_o side_n on_o the_o second_o be_v the_o content_a require_v example_n at_o 8_o inch_n thick_a and_o 16_o broad_a and_o 20_o foot_n long_o you_o shall_v find_v 18_o foot_n ferè_fw-la prob._n 3._o the_o square_n give_v to_o find_v how_o much_o make_v a_o foot_n set_a the_o inch_n square_a on_o the_o first_o side_n to_z 12_o on_o the_o second_o then_o right_a against_o 12_o on_o the_o first_o on_o the_o second_o be_v a_o four_o proportional_a number_n then_o in_o the_o second_o work_n as_o the_o inch_n square_a to_o the_o four_o proportional_a so_o be_v 12_o to_o the_o number_n of_o inch_n require_v to_o make_v a_o foot_n of_o timber_n example_n at_o 6_o inch_n square_a set_v 6_o to_o 12_o then_o against_o the_o other_o 12_o be_v 24_o then_o set_v 6_o to_o 24_o then_o right_o against_o 12_o you_o shall_v have_v 48._o the_o length_n in_o inches_n require_v after_o the_o same_o manner_n be_v other_o question_n wrought_v but_o the_o compass_n be_v easy_a and_o more_o ready_a therefore_o i_o shall_v say_v no_o more_o to_o this_o but_o only_o refer_v you_o to_o the_o former_a rule_n in_o the_o three_o four_o and_o five_o chapter_n only_o note_n that_o in_o those_o sliding-rule_n make_v for_o glasier_n use_v the_o one_o half_a of_o the_o line_n of_o number_n be_v on_o one_o side_n of_o the_o rule_n and_o the_o other_o on_o the_o other_o and_o whatsoever_o leg_n or_o piece_n of_o the_o rule_n be_v the_o first_o on_o the_o one_o side_n the_o same_o leg_n or_o piece_n be_v the_o first_o when_o the_o rule_n be_v turn_v on_o the_o other_o side_n which_o must_v well_o be_v observe_v but_o note_v that_o for_o measure_v of_o timber_n those_o that_o use_v it_o may_v have_v one_o side_n fit_v for_o that_o as_o i_o shall_v more_o plain_o and_o full_o show_v in_o the_o next_o chapter_n be_v the_o easy_a speedy_a and_o neat_a way_n that_o ever_o yet_o be_v use_v by_o any_o man_n resolve_v any_o content_n by_o have_v the_o length_n and_o the_o diameter_n circumference_n or_o square_v give_v a_o table_n of_o the_o true_a sise_n of_o glasier_n quarry_n both_o long_a and_o square_a calculate_v by_o j.b._n square_a quarry_n 77.19_o gr_n ranger_n sides_n breadth_n length_n content_a in_o foot_n content_a in_o inch._n in_o 100_o i._n 100_o i._n p._n i._o pt_v f._n part_n inc._n p._n 4_o 20_o 4_o 30_o 5_o 36_o 6_o 70_o 0.1250_o 1.50_o 3_o 76_o 3_o 84_o 4_o 80_o 6_o 00_o 0.1000_o 1.20_o 3_o 43._o 3_o 51_o 4_o 38_o 5_o 47_o 0.0833_o 1.00_o 3_o 07._o 3_o 13_o 3_o 92_o 4_o 90_o 0.0667_o 0.80_o 2_o 80_o 2_o 86._o 3_o 57_o 4_o 47._o 0.0555_o 0.666_o 2_o 66._o 2_o 72_o 3_o 39_o 4_o 24_o 0.5000_o 0.60_o long_a quarry_n 67.22_o ranger_n sides_n breadth_n length_n content_a content_n in_o pt_n i_o pt_v i._o 100_o i._o pt_n f._n 100_o i._o pt_n 4_o 09_o 4_o 41._o 4.90_o 7.34_o 0.1250_o 1.50_o 3_o 65_o 3.95_o 4.38_o 6.57_o 0.1000_o 1.20_o 3_o 34_o 3.61_o 4.00_o 6.00_o 0.0833_o 1.00_o 2_o 98._o 3_o 23_o 3.58_o 5.37_o 0.0667_o 0.80_o 2_o 58_o 2_o 79_o 3.10_o 4.90_o 0.0555_o 0.666_o 2_o 72_o 2_o 94_o 3.27_o 4.65_o 0.0500_o 0.60_o note_n that_o a_o prick_n after_o the_o 100_o part_n of_o a_o inch_n note_v a_o quarter_n and_o a_o stroke_n asleep_o half_o of_o 100_o part_n of_o a_o inch_n to_o make_v this_o table_n work_v thus_o by_o the_o line_n of_o number_n divide_v the_o distance_n between_o the_o content_a of_o some_o know_a size_n as_o square_v 10_o s._n or_o long_o 12_o s._n and_o the_o content_a of_o the_o inquire_v size_n into_o two_o equal_a part_n for_o 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