64_o 0_o 0_o 0_o  _fw-fr 3_o 47_o 0_o 2_o 4_o 2_o 2_o 36_o 0_o 0_o 0_o  _fw-fr 1_o 28_o 4_o 3_o 3_o  _fw-fr 2_o 23_o 0_o 4_o 1_o  _fw-fr 3_o 19_o 0_o 3_o 1_o 3_o 3_o 16_o 0_o 0_o 0_o  _fw-fr 1_o 13_o 7_o 5_o 9_o  _fw-fr 2_o 11_o 9_o 0_o 6_o  _fw-fr 3_o 10_o 1_o 8_o 8_o 4_o 4_o 9_o 0_o 0_o 0_o  _fw-fr 1_o 7_o 11_o 6_o 6_o  _fw-fr 2_o 7_o 1_o 3_o 3_o  _fw-fr 3_o 6_o 4_o 5_o 9_o 5_o 5_o 5_o 9_o 1_o 2_o  _fw-fr 1_o 5_o 2_o 6_o 9_o  _fw-fr 2_o 4_o 9_o 1_o 2_o  _fw-fr 3_o 4_o 4_o 2_o 6_o 6_o 6_o 4_o 0_o 0_o 0_o  _fw-fr 1_o 3_o 8_o 2_o 3_o  _fw-fr 2_o 3_o 4_o 9_o 0_o  _fw-fr 3_o 3_o 1_o 9_o 3_o 7_o 7_o 2_o 11_o 2_o 8_o  _fw-fr 1_o 2_o 8_o 8_o 6_o  _fw-fr 2_o 2_o 6_o 7_o 2_o  _fw-fr 3_o 2_o 4_o 7_o 7_o 8_o 8_o 2_o 3_o 0_o 0_o 8¼_n  _fw-fr 2_o 1_o 3_o 9_o a_o table_n for_o the_o under_o board-measure_n to_o inch_n and_o quarter_n  _fw-fr fe_o in_o 10._o 100_o  _fw-fr 48_o 0_o 0_o 0_o  _fw-fr 24_o 0_o 0_o 0_o  _fw-fr 16_o 0_o 0_o 0_o 1_o 12_o 0_o 0_o 0_o  _fw-fr 9_o 7_o 2_o 0_o  _fw-fr 8_o 0_o 0_o 0_o  _fw-fr 6_o 10_o 2_o 9_o 2_o 6_o 0_o 0_o 0_o  _fw-fr 5_o 4_o 0_o 0_o  _fw-fr 4_o 9_o 6_o 0_o  _fw-fr 4_o 4_o 3_o 6_o 3_o 4_o 0_o 0_o 0_o  _fw-fr 3_o 8_o 3_o 0_o  _fw-fr 3_o 5_o 1_o 4_o  _fw-fr 3_o 2_o 4_o 0_o 4_o 3_o 0_o 0_o 0_o  _fw-fr 2_o 9_o 8_o 8_o  _fw-fr 2_o 8_o 0_o 0_o  _fw-fr 2_o 6_o 3_o 1_o 5_o 2_o 4_o 8_o 0_o  _fw-fr 2_o 3_o 4_o 2_o  _fw-fr 2_o 2_o 1_o 8_o  _fw-fr 2_o 1_o 0_o 4_o 6_o 2_o 0_o 0_o 0_o  _fw-fr 1_o 11_o 0_o 5_o  _fw-fr 1_o 10_o 1_o 5_o  _fw-fr 1_o 9_o 3_o 3_o 7_o 1_o 8_o 5_o 8_o  _fw-fr 1_o 7_o 8_o 6_o  _fw-fr 1_o 7_o 2_o 0_o  _fw-fr 1_o 6_o 5_o 8_o 8_o 1_o 6_o 0_o 0_o 8¼_n 1_o 5_o 4_o 5_o note_v also_o that_o this_o table_n or_o any_o small_a part_n of_o under-measure_n may_v be_v supply_v by_o the_o division_n of_o the_o board_n and_o timber-measure_n only_o as_o thus_o double_v the_o inch_n and_o part_n of_o breadth_n for_o board-measure_n or_o of_o square_n for_o timber-measure_n and_o seek_v it_o in_o the_o line_n of_o board_n or_o timber-measure_n and_o count_v twice_o from_o thence_o to_o the_o rule_v end_n for_o board_n or_o 4_o time_n for_o timber_n and_o that_o shall_v be_v the_o true_a length_n that_o make_v a_o foot_n of_o board_n or_o timber_n ex._n 4._o at_o 4_o inch_n and_o ½_o square_a or_o broad_a 4½_n double_v be_v 9_o then_o look_v for_o 9_o on_o the_o board-measure_n and_o two_o time_n from_o thence_o to_o the_o end_n shall_v make_v a_o foot_n of_o board_n or_o look_v for_o 9_o on_o the_o line_n of_o timber-measure_n and_o 4_o time_n from_o thence_o to_o the_o end_n of_o the_o rule_n shall_v be_v the_o true_a length_n to_o make_v a_o foot_n of_o timber_n at_o 4_o inch_n ½_o square_a but_o if_o it_o be_v so_o small_a a_o piece_n that_o when_o it_o be_v double_v the_o number_n be_v not_o on_o the_o divide_a part_n of_o the_o rule_n then_o double_v it_o again_o and_o count_v 4_o time_n for_o board-measure_n and_o 16_o time_n for_o timber_n ex._n 5._o at_o 2_o inch_n and_o a_o half_a a_o quarter_n broad_a or_o square_a that_o double_v be_v 4¼_n which_o be_v not_o on_o the_o rule_n therefore_o i_o double_v it_o again_o say_v 4_o ¼_n and_o 4¼_n be_v 8½_n which_o be_v on_o the_o rule_n then_o for_o board_n count_v 4_o time_n from_o 8½_n on_o the_o board-measure_n to_o the_o upper_a end_n by_o 36_o to_o make_v a_o foot_n of_o board_n at_o 2â…›_n broad_a and_o for_o timber_n count_v 16_o time_n from_o 8½_n near_o the_o begin_n of_o timber-measure_n which_o will_v be_v near_o 32_o foot_n to_o make_v a_o foot_n of_o timber_n at_o 2d_o square_v but_o if_o twice_o double_v will_v not_o do_v then_o double_a again_o and_o count_v 8_o time_n for_o board_n and_o 64_o time_n for_o timber_n as_o in_o the_o table_n you_o may_v see_v which_o will_v be_v very_o slender_a timber_n also_o between_o the_o two_o line_n of_o inch_n be_v set_v four_o scale_n of_o equal_a part_n call_v circumference_n diameter_n square-equal_a and_o square-within_a who_o use_n may_v be_v thus_o the_o diameter_n of_o any_o circle_n be_v give_v to_o find_v the_o circumference_n or_o the_o side_n of_o a_o square-equal_a oâ—_n the_o side_n of_o the_o square_n within_o example_n suppose_v the_o diameter_n of_o a_o circle_n be_v 15_o inch_n take_v 15_o from_o the_o scale_n call_v diameter_n and_o measure_v it_o in_o the_o scale_n call_v circumference_n and_o iâ—_n give_v 47._o 10._o also_o the_o same_o extent_n measure_v in_o the_o line_n call_v square-within_a and_o it_o give_v 10._o 55._o for_o the_o side_n of_o a_o square-within_a in_o that_o circle_n of_o 51_o inch_n diameter_n again_o the_o same_o extent_n be_v measure_v in_o the_o scale_n call_v square-equal_a and_o it_o give_v 13._o 27_o for_o the_o side_n of_o â—_o square_n equal_a to_o a_o circle_n of_o 15_o inch_n diameter_n last_o this_o 13._o 27_o the_o side_n of_o the_o square-equall_a multiply_v by_o it_o selâ—_n give_v 176_o the_o area_n of_o that_o circle_n in_o inch_n who_o diameter_n be_v 15_o inch_n the_o same_o may_v be_v do_v if_o the_o circumference_n be_v first_o give_v then_o that_o take_v first_o from_o that_o line_n and_o measure_v in_o the_o other_o line_n you_o shall_v have_v the_o respective_a answer_n as_o before_o but_o if_o the_o area_n be_v first_o give_v then_o to_o find_v the_o square-equal_a find_v the_o square-root_n of_o the_o area_n and_o that_o root_n shall_v be_v the_o side_n of_o the_o square-equal_a example_n suppose_v the_o area_n of_o a_o circle_n be_v 288_o what_o be_v the_o side_n of_o the_o square-equal_a the_o middle_n between_o 1_o and_o 288_o be_v at_o near_o 17_o the_o side_n of_o the_o square-equal_a for_o 17_o square_a be_v 289._o then_o 17_o take_v from_o the_o scale_n call_v square_a equal_a give_v you_o any_o of_o the_o rest_n these_o scale_n serve_v to_o draw_v any_o platform_n of_o a_o house_n or_o field_n very_o convenlent_o be_v of_o several_a bigness_n the_o description_n and_o use_v of_o the_o line_n of_o number_n common_o call_v gunter_n line_n chap._n ii_o the_o definition_n and_o description_n of_o the_o line_n of_o number_n and_o numeration_n thereon_o the_o line_n of_o number_n be_v only_o the_o logarithme_n contrive_v on_o a_o ruler_n and_o the_o several_a rank_n of_o figure_n in_o the_o logarithm_n be_v here_o express_v by_o short_a and_o long_o and_o long_a division_n and_o they_o be_v so_o contrive_v in_o proportion_n one_o to_o another_o that_o as_o the_o logarithme_n by_o add_v together_o and_o substract_v one_o from_o another_o produce_v the_o quesita_fw-la so_o here_o by_o turn_v a_o pair_n of_o compass_n forward_o or_o backward_o according_a to_o due_a order_n from_o one_o point_n to_o another_o do_v also_o bring_v out_o the_o quesita_fw-la in_o like_a manner_n for_o the_o length_n of_o this_o line_n of_o number_n know_v that_o the_o long_o it_o be_v the_o better_a it_o be_v and_o for_o that_o purpose_n it_o have_v be_v contrive_v several_a way_n as_o first_o into_o a_o rule_n of_o two_o foot_n long_o and_o three_o foot_n long_o by_o mr._n gunter_n and_o i_o suppose_v it_o be_v therefore_o call_v gunter_n line_n then_o that_o line_n double_v or_o lay_v so_o together_o that_o you_o may_v work_v either_o right_n on_o or_o cross_v from_o one_o to_o another_o by_o mr._n wingate_n afterward_o project_v in_o a_o circle_n by_o mr._n oughtre_v and_o also_o to_o slide_v one_o by_o another_o by_o the_o same_o author_n and_o â—ast_o of_o all_o project_v and_o that_o best_a of_o all_o hitherto_o for_o largeness_n and_o conseqen_o for_o exactness_n into_o a_o serpentine_a or_o wind_a circular_a line_n of_o 5_o or_o 10_o or_o 20_o turn_n or_o more_o or_o less_o by_o mr._n brown_n the_o use_n be_v in_o all_o of_o they_o in_o a_o manner_n the_o same_o only_o some_o with_o compass_n as_o mr._n gunter_n and_o mr._n wingat'_v and_o some_o with_o flat_a compass_n or_o a_o open_n index_n as_o mr._n oughtred_n and_o mr._n browne_n and_o one_o without_o either_o as_o the_o slide_a rule_n but_o the_o rule_n or_o precept_n that_o serve_v for_o the_o use_n of_o one_o will_v indifferent_o serum_n for_o any_o but_o the_o projection_n that_o â—_o shall_v chief_o confine_v myself_o to_o iâ—_n that_o of_o mr._n gunter_n be_v the_o most_o proper_a for_o to_o be_v inscribe_v oâ—_n a_o carpenter_n rule_n for_o who_o sakeâ—_n i_o undertake_v this_o collection_n of_o the_o most_o useful_a convenient_a and_o
produce_v 21_o foot_n 69_o cube_fw-la inch_n the_o near_a content_n prob._n ix_o have_v the_o gird_a and_o length_n give_v in_o foot_n measure_n to_o find_v the_o content_n in_o foot_n the_o extent_n from_o 3.545_o the_o foot_n and_o 100_o part_n about_o when_o one_o foot_n long_o make_v one_o foot_n of_o timber_n to_o the_o gird_a in_o foot_n and_o part_n the_o same_o extent_n lay_v twice_o from_o the_o length_n in_o foot_n gives_z the_o content_a in_o foot_n examp._n a_o brewer_n tun_n of_o 20_o foot_n about_o and_o 4_o foot_n and_o ½_o deep_a how_o many_o solid_a foot_n be_v it_o the_o extent_n from_o 3.545_o to_o 20_o shall_v reach_v the_o same_o way_n at_o two_o turn_n from_o 4_o foot_n and_o ½_o to_o 143_o foot_n and_o 10_o part_n the_o solid_a content_n in_o foot_n and_o 6_o foot_n be_v a_o full_a beer-barrel_n it_o contain_v 24_o barrel_n beer-measure_n for_o 31_o foot_n 8_o part_n the_o area_n of_o a_o circle_n of_o 20_o foot_n about_o be_v multiply_v by_o 4_o foot_n 5_o part_n the_o depth_n give_v 143_o foot_n and_o 10_o pt_n as_o before_o prob._n x._o have_v the_o gird_a in_o inch_n and_o the_o length_n of_o a_o cillander_fw-ge give_v in_o inch_n to_o find_v the_o solid_a content_n in_o cube_fw-la inch_n the_o extent_n from_o 3.545_o to_o the_o gird_a in_o inch_n be_v twice_o repeat_v the_o same_o way_n from_o the_o length_n in_o inch_n give_v the_o content_a in_o inch_n examp._n at_o 48_o inch_n about_o and_o 24_o inch_n in_o length_n how_o many_o cube_fw-la inch_n be_v it_o the_o extent_n from_o 3.545_o to_o 48_o the_o inch_n gird_v be_v twice_o repeat_v from_o 24_o the_o length_n in_o inch_n give_v 4398_o the_o content_a in_o solid_a inch_n for_o 183.2_o the_o area_n of_o a_o circle_n of_o 48_o inch_n about_o multiply_v by_o 24_o the_o inch_n deep_a produce_v 4397_o the_o near_a content_n as_o before_o to_o insure_v you_o the_o number_n of_o place_n the_o print_n 11_o time_n repeat_v do_v certain_o direct_v you_o prob._n xi_o it_o be_v a_o ordinary_a way_n in_o measure_v of_o round_a timber_n such_o as_o oak_n elm_n beech_n pear-tree_n and_o the_o like_a which_o be_v sometime_o very_o rugged_a uneven_a and_o knotty_a to_o take_v a_o line_n and_o gird_v about_o the_o middle_n of_o it_o and_o then_o to_o take_v the_o four_o part_n of_o that_o for_o the_o side_n of_o a_o square-equal_a to_o that_o circumference_n but_o this_o measure_n be_v not_o exact_a but_o more_o than_o it_o shall_v be_v but_o either_o because_o of_o allowance_n for_o the_o fault_n abovesaid_a or_o for_o ignorance_n the_o custom_n be_v still_o use_v and_o man_n common_o think_v themselves_o wrong_v if_o they_o have_v not_o such_o measure_n therefore_o i_o have_v fit_v you_o with_o a_o proportion_n for_o it_o both_o for_o diameter_n and_o circumference_n and_o first_o for_o diameter_n the_o diameter_n give_v in_o inch_n and_o the_o length_n in_o foot_n to_o find_v the_o content_n as_o 1.526_o to_o the_o diameter_n so_o be_v the_o length_n to_o a_o four_o and_o that_o four_o to_o the_o content_a in_o foot_n according_a to_o the_o rate_n abovesaid_a the_o extent_n from_o 1.526_o to_o 9.53_o be_v twice_o repeat_v from_o 8_o shall_v reach_v to_o 3.12_o the_o content_a prob._n xii_o have_v the_o circumference_n in_o inch_n to_o find_v the_o content_n in_o the_o abovesaid_a measure_n as_o 48_o to_o the_o inch_n about_o so_o be_v the_o length_n to_o a_o four_o number_n and_o that_o four_o to_o the_o content_a the_o extent_n from_o 48_o to_o 30_o be_v twice_o repeat_v from_o 8_o shall_v fall_v upon_o 3._o 12_o the_o content_a require_v prob._n xiii_o how_o to_o measure_v taper_n timber_n that_o be_v big_a at_o one_o end_n than_o at_o the_o other_o the_o usual_a way_n for_o do_v of_o this_o be_v to_o take_v the_o circumference_n of_o the_o middle_n or_o mean_a bigness_n but_o a_o more_o exact_a way_n be_v to_o find_v the_o content_n of_o the_o base_a of_o both_o end_n and_o add_v they_o together_o and_o then_o to_o take_v the_o half_a for_o the_o mean_a which_o multiply_v by_o the_o length_n shall_v give_v you_o the_o true_a content_n examp._n a_o round_a pillar_n be_v to_o be_v measure_v who_o diameter_n at_o one_o end_n be_v 20_o inch_n at_o the_o other_o end_v it_o be_v 32_o inch_n diameter_n and_o in_o length_n 16_o foot_n or_o 192_o inch_n the_o content_a of_o the_o little_a end_n be_v 314._o 286_o the_o area_n or_o content_n of_o the_o great_a end_n be_v 773.142_o which_o put_v together_o make_v 1087.428_o who_o half_a 543.714_o multiply_v by_o 192_o the_o length_n give_v 104393.143_o cubical_a inch_n which_o reduce_v into_o foot_n be_v 60_o foot_n and_o 713_o cubical_a inch_n for_o the_o solid_a content_n of_o the_o pillar_n prob._n fourteen_o to_o measure_v a_o cone_n such_o as_o be_v a_o spire_n of_o a_o steeple_n or_o the_o like_a by_o have_v the_o height_n and_o diameter_n of_o base_a examp._n let_v a_o cone_n be_v to_o be_v measure_v who_o base_a be_v 10_o foot_n and_o the_o height_n thereof_o 12_o foot_n the_o content_a of_o the_o base_a will_v be_v find_v by_o the_o 14_o problem_n of_o superficial_a measure_n to_o be_v 78._o 54_o then_o this_o 78._o 54_o multiply_v by_o 4_o a_o three_o part_n of_o 12_o the_o perpendicular_a or_o height_n of_o the_o cone_n will_v give_v 314._o 4_o for_o the_o content_a of_o the_o cone_n require_v by_o the_o number_n work_v thus_o the_o extent_n from_o 1_o to_o 4_o will_v reach_v from_o 78._o 54_o to_o 314._o 4._o but_o because_o there_o may_v be_v some_o trouble_n in_o get_v the_o true_a perpendicular_a of_o a_o cone_n which_o be_v its_o height_n take_v this_o rule_n first_o take_v half_a the_o diameter_n and_o multiply_v it_o in_o its_o self_n which_o here_o be_v 25_o then_o measure_v the_o side_n of_o the_o cone_n 13_o and_o multiply_v that_o by_o itself_o which_o here_o be_v 169_o from_o which_o take_v the_o square_a of_o half_a the_o base_a which_o be_v 25_o your_o first_o number_n find_v and_o the_o remain_n be_v 144_o the_o square-root_n of_o which_o be_v the_o height_n of_o the_o cone_n or_o length_n of_o the_o perpendicular_a prob._n xv._n to_o measure_v a_o globe_n or_o sphere_n arithmetical_o cube_n the_o diameter_n then_o multiply_v that_o by_o 11_o and_o divide_v by_o 21_o give_v you_o the_o true_a solid_a content_n let_v a_o sphere_n be_v to_o be_v measure_v who_o axis_n or_o diameter_n be_v 14_o that_o multiply_v by_o itself_o give_v 196_o and_o 196_o again_o by_o 14_o give_v 2744_o this_o multiply_v by_o 11_o give_v 30184_o and_o this_o last_o divide_v by_o 21_o give_v 1437._o 67_o for_o the_o content_a of_o the_o sphere_n who_o diameter_n be_v 14._o but_o more_o brief_o by_o the_o number_n thus_o the_o extent_n from_o 1_o to_o the_o axis_n be_v twice_o repeat_v from_o 3._o 142_o will_v reach_v to_o the_o superficial_a content_n that_o be_v the_o superficies_n round_o about_o but_o if_o the_o same_o extent_n from_o 1_o to_o the_o axis_n be_v thrice_o repeat_v from_o 5238_o it_o will_v reach_v to_o the_o solid_a content_n as_o 1_o to_o 14_o so_o 3._o 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 trirngle_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 the_o use_n of_o the_o line_n of_o number_n in_o question_n that_o eoncern_v military_a order_n prob._n i._n any_o number_n of_o soldier_n be_v propound_v to_o order_v they_o into_o a_o square_a battle_n of_o men._n find_v by_o the_o 12_o problem_n of_o the_o second_o chapter_n the_o square-root_n of_o the_o number_n give_v for_o so_o much_o as_o that_o root_n shall_v be_v so_o many_o soldier_n ought_v you_o to_o place_n in_o rank_n and_o so_o many_o likewise_o in_o file_n to_o make_v a_o square_a battle_n of_o men._n examp._n let_v it_o be_v require_v to_o order_v 625_o soldier_n into_o a_o square_a battle_n of_o man_n the_o square-root_n of_o that_o number_n be_v 25_o wherefore_o you_o be_v to_o place_v 25_o in_o rank_n and_o as_o many_o in_o file_n for_o fraction_n in_o this_o practice_n be_v not_o considerable_a for_o have_v there_o be_v but_o 3_o less_o there_o will_v have_v
inch_n 15._o the_o ale_n or_o beer_n at_o 18._o 95._o also_o the_o gage-point_n for_o a_o beer-barrel_n at_o 35_o inch_n and_o 9525_o part_n and_o the_o gagepoint_v for_o a_o barrel_n of_o ale_n at_o 33_o inch_n and_o 89645_o part_n 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 1_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_a side_n the_o other_o the_o right_a side_n so_o that_o from_o 1_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 1_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 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 i._n a_o piece_n of_o timber_n be_v not_o square_a to_o make_v it_o square_n or_o to_o find_v the_o square-equal_a 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 examp._n at_o 18_o broad_a and_o 6_o thick_a you_o shall_v find_v 10_o inch_n â…œ_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_a 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-equal_a to_o 18_o one_o way_n and_o 6_o the_o other_o way_n prob._n ii_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 useful_a this_o 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 right_a side_n to_o one_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 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 but_o when_o the_o piece_n be_v small_a count_v 1_o foot_n on_o the_o right_n for_o 1_o inch_n and_o call_v 12_o on_o the_o right_n for_o 1_o foot_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 1_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 iii_o the_o side_n of_o the_o square_n and_o length_n give_v to_o find_v the_o content_n for_o all_o piece_n between_o 1_o inch_n or_o â—â—_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 examp._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_a 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 1_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 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_a side_n then_o right_o against_o the_o inch_n or_o 12s_o of_o 1_o inch_n square_n find_v on_o the_o right_a side_n on_o the_o left_a be_v the_o true_a content_n 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_n 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 rob._n iu._n the_o square_a of_o a_o small_a piecè_fw-la 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_v or_o quarter_v square_a count_v 1_o foot_n on_o the_o right_a side_n for_o 1_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 right_a side_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 examp._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 v._n 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 oâ—_n 3_o inch_n find_v on_o the_o right_a side_n for_o 1_o inch_n ¼_n ½_o or_o ¼_n of_o a_o inch_n against_o 10_o on_o the_o left_a 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 examp._n at_o 1_o inch_n square_v you_o find_v 144_o foot_n at_o ½_o square_v 256_o foot_n at_o ½_o 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 1_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 vi_o a_o great_a piece_n above_o 3_o foot_n ¼_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 thâ—_n right_a to_o 100_o on_o the_o left_a theâ—_n right_a against_o small_a 12_o be_v the_o incheâ—_n and_o 12_n or_o 12s_o of_o a_o 12_o thaâ—_n go_v to_o make_v a_o foot_n examp._n at_o 4_o foot_n square_a yoâ—_n have_v 9_o 12th_n or_o ¾_n of_o a_o inch_n tâ—_n make_v a_o foot_n of_o timber_n at_o 5_o fooâ—_n square_a 5._o 12th_n and_o 10._o 12th_n â—â—_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 noâ—_n contrive_v resolve_v from_o 1_o quarteâ—â—_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._n for_o round_a timber_n prob._n i._n the_o number_n of_o inch_n that_o a_o piece_n â—â—_o timber_n be_v about_o be_v give_v find_v how_o much_o make_v a_o foot_n first_o for_o all_o ordinary_a piece_n sâ—_n 1_o foot_n on_o the_o left_a to_o the_o inch_n â—â—_o foot_n and_o inch_n above_o on_o the_o righâ—_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 examp._n at_o 4_o inch_n about_o 113_o foot_n 2_o inch_n be_v for_o true_a measure_n but_o for_o the_o usual_a measure_n 142_o foot_n go_v to_o make_v a_o foot_n of_o timber_n at_o 12_o foot_n 3_o inch_n about_o 1_o inch_n be_v a_o true_a foot_n but_o for_o
the_o usual_a allowance_n as_o the_o four_o part_n of_o a_o fine_a gird_v about_o give_v it_o must_v be_v 1_o inch_n ¼_n long_o to_o make_v a_o foot_n of_o timber_n at_o that_o circumference_n but_o for_o very_o large_a piece_n count_v 1_o foot_n on_o the_o right_n for_o 12_o foot_n 2._o 24_o etc._n etc._n and_o set_v 1_o foot_n on_o the_o left_a as_o before_z then_o in_o the_o answer_n 1_o foot_n on_o the_o left_a be_v 1._o 12_o of_o a_o inch_n and_o 1_o inch_n 1._o 14_o of_o a_o inch_n example_n at_o 144_o foot_n about_o 1._o 144th_o part_n of_o a_o inch_n be_v a_o foot_n of_o timber_n prob._n ii_o for_o very_o small_a wood_n to_o find_v a_o foot_n in_o length_n but_o for_o very_o small_a piece_n of_o under_o 4_o inch_n about_o set_v 1_o foot_n 2_o foot_n etc._n etc._n on_o the_o right_n count_v for_o 1_o inch_n 2_o inch_n 3_o inch_n or_o 4_o inch_n to_o 1_o foot_n on_o the_o left_a then_o right_o against_o tr_z or_o round_o you_o have_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 example_n at_o 1_o inch_n round_o true_a measure_n be_v 151_o foot_n ferè_fw-la but_o for_o the_o usual_a allowance_n 196_o which_o number_n multiply_v by_o 12_o be_v the_o number_n of_o foot_n require_v viz._n 1809_o and_o 2352._o but_o note_n you_o must_v read_v the_o 196_o and_o 151_o right_a as_o thus_o 1_o foot_n on_o the_o left_a be_v 12_o 2_o be_v 24_o etc._n etc._n so_o that_o 12_o foot_n be_v 144_o and_o our_o number_n by_o the_o same_o account_n be_v 151_o near_a to_o find_v how_o much_o be_v in_o a_o foot_n in_o length_n set_v round_o or_o tr_z to_z 1_o foot_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 about_o find_v on_o the_o right_n on_o the_o left_a be_v the_o answer_n require_v prob._n iii_o the_o inch_n or_o foot_n and_o inch_n about_o and_o length_n give_v to_o find_v the_o content_n set_a the_o word_n round_o or_o tr_z for_o the_o usual_a or_o true_a measure_n to_o the_o length_n on_o the_o left_a then_o right_a against_o the_o inch_n about_o on_o the_o right_n on_o the_o left_a be_v the_o content_a require_v example_n at_o 2_o foot_n 3_o inch_n about_o and_o 20_o foot_n long_o it_o be_v 6_o foot_n 2_o inch_n of_o the_o usual_a allowance_n or_o 8_o foot_n of_o true_a measure_n but_o if_o it_o be_v a_o great_a tree_n then_o set_v tr_z or_o round_o to_o 1_o call_v 10_o or_o to_o 10_o call_v 100_o then_o be_v the_o content_a augment_v to_o 1000_o foot_n as_o you_o do_v in_o the_o rule_n for_o square_a timber_n but_o if_o you_o will_v have_v it_o measure_v big_a still_o then_o set_v the_o 4_o inch_n or_o a_o tr_z set_v close_o by_o the_o brass_n on_o the_o right_a side_n to_o the_o length_n on_o the_o left_a either_o as_o it_o be_v or_o augment_v count_v at_o last_o according_a the_o note_n 1_o foot_n on_o the_o right_n be_v 12_o foot_n and_o 12_o at_o the_o top_n be_v 144_o foot_n then_o right_o against_o the_o foot_n about_o on_o the_o right_n on_o the_o left_a be_v the_o content_a require_v examp._n a_o brewer_n tun_n 3_o foot_n long_o or_o deep_a and_o 72_o foot_n about_o set_v the_o tr_z by_o the_o brass_n to_o 36_o inch_n which_o be_v thus_o count_v on_o the_o left_a side_n 1_o inch_n be_v 10_o inch_n 2_o be_v 20_o 3_o be_v 30_o 3½_n be_v 35_o somewhat_o more_o be_v 36_o so_o then_o 1_o foot_n be_v 120_o inch_n oâ—_n 10_o foot_n then_o right_o against_o 6_o time_n 12_o foot_n on_o the_o right_n which_o be_v at_o â—_o foot_n on_o the_o leave_v you_o have_v 12_o 30_o foot_n as_o near_o as_o the_o rule_n will_v give_v it_o which_o count_v 6_o foot_n to_o a_o barrel_n be_v 205_o barrel_n the_o content_a require_v prob._n iu._n to_o find_v the_o content_n of_o a_o very_a smalâ—_n piece_n set_a the_o word_n round_o or_o tr_z to_o the_o length_n on_o the_o left_a as_o in_o the_o three_o problem_n of_o this_o chapter_n theâ—_n right_a against_o the_o inch_n about_o oâ—_n the_o right_a call_v 1_o foot_n 1_o inch_n and_o 6_o inch_n ½_o a_o inch_n on_o the_o lefâ—_n be_v the_o 13_n of_o 1_o inch_n or_o 12_n of_o a_o 12_o require_v example_n at_o half_a a_o inch_n about_o and_o 10_o foot_n long_o it_o be_v 2_o 12_n and_o a_o half_a of_o 1_o 12_o of_o a_o inch_n or_o 2_o square_a inch_n and_o ½_o true_a measure_n again_o 2_o inch_n ¼_n about_o and_o 10_o foot_n long_o be_v half_a a_o inch_n of_o true_a measure_n 12_o inch_n to_o a_o foot_n solid_a or_o ½_o a_o foot_n superficial_a of_o one_o inch_n thick_a chap._n vi_o to_o measure_v timber_n have_v the_o diameter_n and_o the_o length_n give_v prob._n i._n the_o diameter_n give_v in_o inch_n to_o find_v the_o length_n of_o a_o foot_n set_a 1_o foot_n on_o the_o left_a to_o the_o inch_n diameter_n on_o the_o right_n then_o right_a against_o td_n for_o true_a diameter_n or_o the_o word_n diameter_n for_o the_o usual_a allowance_n of_o a_o string_n gird_v about_o and_o double_v 4_o time_n for_o the_o side_n of_o the_o square_a you_o have_v the_o foot_n and_o inch_n require_v example_n at_o 10_o inch_n diameter_n 1_o foot_n 10_o inch_n make_v a_o foot_n but_o for_o very_o great_a piece_n set_z 1_o foot_z as_o before_o but_o look_v for_o td_n beyond_o the_o upper_a 12_o &_o right_a against_o it_o on_o the_o leave_v you_o have_v the_o 12_o of_o 1_o inch_n or_o the_o 12_n of_o a_o 12_o that_o make_v a_o foot_n but_o for_o very_o small_a stick_n set_v 1_o 2_o or_o 3_o foot_n on_o the_o right_n for_o 1_o 2_o or_o 3_o inch_n to_o 1_o foot_n on_o the_o left_a then_o right_o against_o td_n or_o diameter_n you_o have_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 to_o make_v a_o foot_n of_o timber_n examp._n at_o 1_o inch_n diameter_n you_o shall_v have_v 15_o foot_n 3_o inch_n and_o better_a which_o multiply_v by_o 12_o be_v 123_o foot_n 3_o inch_n note_v that_o 1_o on_o the_o left_a be_v reckon_v 10_o foot_n and_o 2._o 20_o foot_n as_o before_o in_o the_o same_o rule_n for_o the_o circumference_n and_o then_o note_v 1_o inch_n be_v 10_o inch_n at_o any_o diameter_n to_o find_v how_o much_o be_v in_o 1_o foot_n long_o do_v thus_o set_v diana_n or_o td_v to_o 1_o foot_n then_o just_a against_o the_o inch_n or_o foot_n and_o inch_n diameter_n find_v on_o the_o right_n on_o the_o left_a be_v the_o answer_n example_n at_o 2_o foot_n diameter_n be_v 3_o foot_n 2_o inch_n in_o 1_o foot_n of_o length_n which_o multiply_v by_o the_o length_n give_v the_o true_a content_n of_o any_o round_a piece_n and_o very_o exact_o prob._n ii_o the_o diameter_n and_o length_n give_v to_o find_v the_o true_a content_n for_o all_o ordinary_a piece_n set_v the_o word_n diameter_n for_o the_o usual_a measure_n or_o td_v for_o true_a measure_n always_o to_o the_o length_n on_o the_o left_a then_o right_a against_o the_o inch_n or_o foot_n and_o inch_n diameter_n on_o the_o right_n on_o the_o left_a be_v the_o content_a require_v examp._n at_o 5_o inch_n diameter_n and_o 30_o foot_n long_o you_o shall_v find_v 4_o foot_n and_o ½_o a_o inch_n true_a measure_n for_o the_o content_a require_v but_o for_o very_o small_a piece_n set_v td_n or_o diana_n to_o the_o length_n as_o before_o then_o count_v 1_o foot_n on_o the_o right_n for_o 1_o inch_n and_o 6_o inch_n for_o â…“_n a_o inch_n on_o the_o leave_v you_o shall_v have_v the_o answer_n or_o content_v require_v but_o note_n as_o the_o right_a side_n be_v diminish_v so_o be_v the_o left_a for_o 1_o foot_n on_o the_o left_a be_v a_o 12_o of_o a_o inch_n of_o timber_n whereof_o 12_o make_v a_o foot_n or_o 1_o long_a inch_n a_o foot_n long_o and_o 1_o inch_n square_a and_o every_o ineh_n on_o the_o left_a be_v 1_o square_a inch_n thus_o at_o 2_o foot_n long_o and_o half_a a_o inch_n diameter_n it_o be_v 4_o â–¡_o inch_n ¾_n in_o content_n but_o for_o a_o great_a piece_n under_o 1000_o foot_n set_v td_n or_o diameter_n to_o 1_o 2_o or_o 3_o foot_n called_z 10_o 20_o or_o 30_o foot_n then_o right_a against_o the_o foot_n and_o inch_n diameter_n you_o have_v a_o content_n augment_v according_o as_o at_o 30_o foot_n long_o and_o 7_o foot_n diameter_n you_o have_v 1140_o foot_n for_o the_o true_a content_n use_v td_n note_v that_o in_o large_a taper-timber_n whether_o square_a or_o round_o when_o iâ—_n 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 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_n 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 1_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 gauge_v by_o this_o rule_n be_v thus_o set_a 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 examp._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 and_o a_o half_a ale-measure_n the_o gagepoint_n for_o a_o beer-barrel_n iâ—_n near_o 3_o foot_n and_o the_o ale-barreâ—_a near_o 34_o inch_n which_o use_v thus_o set_a 3_o to_o the_o depth_n of_o the_o tun_n then_o right_o against_o the_o mean_a diana_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 anâ—_n speedy_a way_n finis_fw-la 3._o 3._o 5._o 2._o 3._o 4._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 common_o call_v gunters-line_n apply_v to_o the_o measure_v of_o all_o superficies_n and_o solid_n as_o board_n glass_n plaster_v wainscoat_n tyl_v pave_v flooring_n etc._n etc._n timber_n stone_n square_n or_o round_a gauge_v of_o vessel_n etc._n etc._n also_o military_a order_n simple_a and_o compound_v interest_n and_o table_n of_o reduction_n with_o the_o way_n of_o work_v by_o arithmetic_n in_o most_o of_o they_o together_o with_o the_o use_n of_o the_o glasier_n and_o mr._n white_n be_v sliding-rule_n render_v plain_a and_o easy_a for_o ordinary_a capacity_n by_o john_n brown._n london_n print_v for_o w._n fisher_n and_o r._n mount_n at_o the_o postern_n on_o tower-hill_n 1688._o courteous_a reader_n this_o little_a book_n be_v first_o write_v by_o i_o several_a year_n since_o and_o have_v be_v accept_v of_o among_o many_o that_o â—ave_n have_v the_o perusal-thereof_a and_o several_a impression_n in_o that_o time_n beâ—â—g_v sell_v off_o and_o it_o be_v now_o out_o â—f_a print_n and_o none_o to_o be_v have_v i_o have_v â—â—vised_v it_o and_o leave_v out_o what_o may_v â—ell_o be_v spare_v and_o add_v that_o which_o â—ight_n make_v it_o more_o plain_a and_o easy_a 〈◊〉_d be_v remember_v as_o for_o instance_n in_o the_o use_n of_o â—â—e_z line_n of_o number_n common_o â—â—lled_v gunter_n line_n for_o the_o measure_n of_o board_n or_o timber_n or_o stone_n â—â—e_z fixed_z point_n or_o centre_n be_v only_o 10_o use_v 12_o for_o square_a timber_n or_o stone_n and_o in_o measure_v of_o round_a timber_n or_o stone_n as_o round_a timber_n â—â—ere_o be_v use_v only_o 13._o 54_o for_o inch_n use_v 1._o 128_o for_o foot-measure_n be_v â—e_a diameter_n in_o inch_n and_o footâ—easure_n of_o any_o round_a solid_a when_o one_o â—oot_n in_o length_n make_v one_o solid_a foot_n of_o 12_o inch_n every_o way_n or_o 1728_o so_o lid_n cube_n inches_n which_o be_v a_o foot_n 〈◊〉_d timber_n or_o stone_n and_o if_o the_o circumference_n or_o giâ—â—_n of_o the_o piece_n about_o be_v give_v than_o tâ—â—_n fix_v point_n or_o centre_n use_v be_v at_o 4â—â—_n 54_o the_o inch_n and_o 100_o part_n of_o â—â—_o inch_n about_o when_o one_o foot_n or_o 1st_a inch_n long_o make_v one_o foot_n solid_a or_o else_o at_o 3.545_o the_o foot_n and_o 100â—_o part_n about_o when_o one_o foot_n long_o makâ—_n one_o solid_a foot_n equal_a to_o 1728_o cube_n iâ—_n also_o after_o every_o problem_n be_v tâ—_n brief_a way_n of_o work_v it_o by_o the_o pen_n 〈◊〉_d a_o proof_n of_o the_o truth_n of_o every_o operâ—_fw-la tion_n by_o the_o rule_n be_v more_o thâ—â—_n be_v before_o in_o the_o former_a impressionâ—_n also_o the_o line_n of_o pence_n be_v aâ—_n ded_fw-we to_o the_o line_n of_o number_n and_o plain_a way_n set_v forth_o of_o the_o use_n there_o by_o the_o line_n on_o the_o rule_n or_o the_o mâ—_n plain_a description_n thereof_o in_o a_o prâ—_n of_o gunter_n line_n 11_o time_n repeateâ—_n which_o may_v be_v have_v with_o the_o book_n tower-hill_n or_o the_o minory_n the_o use_n of_o the_o gunter_n line_n â—he_v art_n of_o gauge_v be_v here_o but_o brief_o hint_v because_o there_o be_v several_a book_n of_o gauge_v purposely_o make_v for_o that_o employment_n more_o complete_a â—han_n can_v be_v expect_v in_o this_o short_a discourse_n and_o line_n of_o area_n of_o circle_n in_o ale-gallon_n at_o any_o diameter_n give_v from_o 1_o inoh_n to_o 200_o inche_n which_o may_v be_v use_v for_o round_o â—r_o square_a vessel_n to_o give_v the_o content_a â—f_n every_o inch_n deep_a in_o any_o taper_n vessel_n as_o fast_o as_o any_o one_o can_v write_v it_o down_o and_o direction_n for_o the_o ready_a measure_v the_o drip_n or_o stoop_a bottom_n of_o round_a or_o square_a tun_n and_o the_o liquor_n about_o the_o crown_n of_o copper_n which_o book_n be_v to_o be_v have_v at_o the_o postern_n at_o tower-hill_n or_o at_o the_o author_n in_o the_o minory_n to_o this_o impression_n be_v add_v the_o use_n of_o the_o line_n call_v diameter_n circumference_n square-equal_a and_o square_a within_o a_o circle_n and_o to_o find_v the_o circle_n area_n or_o content_a by_o they_o or_o have_v the_o area_n to_o find_v the_o diameter_n or_o the_o circumference_n or_o the_o square-equal_a or_o square-within_a also_o to_o this_o be_v add_v the_o way_n bâ—_n the_o pen_n to_o multiply_v foot_n incheâ—_n and_o 12_o part_n of_o a_o inch_n together_o whereby_o any_o superficies_n as_o boarâ—_n floor_n wall_n yard_n or_o field_n way_n â—â—_o exact_o measure_v by_o the_o pen._n alsâ—_n by_o a_o second_o operation_n or_o multiplâ—_n cation_n may_v any_o solid_a as_o timber_n 〈◊〉_d stone_n or_o round_a vessel_n be_v measure_v the_o arithmetical_a way_n whereof_o 〈◊〉_d word_v as_o plain_a as_o in_o any_o boâ—â—_n whatsoever_o also_o the_o use_n of_o the_o glasier_n slâ—_n ding-rule_n to_o measure_v glass_n or_o aâ—â—_n superficies_n and_o mr._n white_n be_v sliding-ruâ—â—_a to_o measure_v timber_n be_v as_o neâ—â—_n and_o ready_a a_o way_n as_o ever_o be_v use_v thus_o you_o have_v a_o brief_a account_n 〈◊〉_d what_o be_v contain_v in_o this_o little_a booâ—_n and_o i_o wish_v it_o may_v be_v helpful_a to_o maâ—_n a_o learner_n for_o who_o it_o be_v prepareâ—_n so_o i_o remain_v ready_a to_o serve_v you_o in_o thâ—_n or_o the_o like_a john_n brown._n from_o my_o house_n at_o the_o sphere_n anâ—_n sundial_n in_o the_o minory_n londoâ—_n â—he_v description_n and_o use_v of_o the_o carpenter_n rule_n chap._n i._n it_o be_v call_v a_o carpenter_n rule_n rather_o than_o a_o joiner_n bricklayer_n mason_n glasier_n or_o the_o like_a i_o suppose_v because_o â—â—ey_v find_v the_o most_o absolute_a necessiâ—â—_n of_o it_o in_o their_o way_n for_o they_o have_v 〈◊〉_d much_o or_o more_o occasion_n to_o use_v 〈◊〉_d than_o most_o other_o trade_n though_o â—â—e_v same_o rule_n may_v measure_v all_o kind_a â—f_a superficies_n and_o solid_n which_o too_o measure_v measure_v every_o visiâ—â—e_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 â—â—ox_n or_o holly_n 24_o inch_n in_o length_n â—nd_v common_o a_o inch_n and_o half_a or_o 〈◊〉_d inch_n and_o quarter_n in_o breadth_n â—nd_v of_o thickness_n at_o pleasure_n and_o â—n_o the_o one_o side_n it_o be_v divide_v into_o â—4_n equal_a inch_n according_a to_o the_o standard_n at_o londonâ—nd_v â—nd_z every_o one_o of_o those_o 24_o inch_n be_v divide_v into_o eight_o part_n that_o iâ—_n half_n quarter_n and_o half-quarterâ—_a or_o ten_o part_n as_o you_o please_v and_o thâ—_n half-inche_n be_v know_v from_o thâ—_n quarter_n and_o quarter_n from_o thâ—_n half-quarter_n by_o short_a longer_z and_o long_a stroke_n and_o at_o everâ—_n whole_a inch_n be_v set_v figure_n procee_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 partâ—_n and_o figure_n be_v on_o both_o edge_n 〈◊〉_d one_o side_n of_o the_o rule_n both_o wayâ—_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 thâ—_n right_a end_n to_o measure_v from_o provide_v you_o have_v the_o right_a side_n on_o the_o other_o side_n you_o have_v thâ—_n line_n of_o timber_n and_o board_n measure_n the_o timber-measure_n be_v thaâ—_n which_o begin_v at_o 8_o and_o a_o half_a thaâ—_n be_v when_o the_o figure_n of_o the_o timber_n line_n stand_v upright_o to_o you_o than_o i_o saâ—_n it_o begin_v at_o the_o left_a end_n at_o 8_o and_o 〈◊〉_d and_o proceed_v to_o 36_o within_o a_o incâ—_n and_o â…œ_n of_o a_o inch_n of_o the_o end_n also_o aâ—_n the_o beginning_n end_n of_o the_o line_n oâ—_n timber_n measure_n be_v a_o table_n of_o figure_n which_o contain_v the_o quantity_n of_o the_o under-measure_n from_o one_o inch_n square_a to_o 8_o inch_n square_a for_o the_o figure_n 9_o come_v upon_o the_o rule_n as_o you_o may_v see_v near_o to_o 8_o in_o the_o table_n on_o or_o next_o the_o other_o edge_n and_o same_o side_n you_o have_v the_o line_n of_o board-measure_n and_o when_o those_o figure_n stand_v upright_o you_o have_v 6_o at_o the_o left_a or_o begin_v end_n and_o 36_o at_o the_o other_o or_o right_a end_n just_a 4_o inch_n off_o the_o end_n unless_o it_o be_v divide_v up_o to_o a_o 100_o than_o it_o be_v nigh_o a_o inch_n and_o half_a off_o the_o end_n this_o line_n have_v also_o his_o table_n of_o under-measure_n at_o the_o beginning_n end_n and_o begins_z at_z 1_o and_o goes_z to_z 6_o and_o then_o the_o division_n on_o the_o rule_n do_v supply_v all_o the_o rest_n to_o 100_o thus_o much_o for_o description_n now_o for_o use._n the_o inch_n be_v to_o measure_v the_o length_n or_o breadth_n of_o any_o superficies_n or_o solid_a give_v and_o the_o manner_n of_o do_v it_o be_v superfluous_a to_o speak_v of_o
or_o once_o to_o mention_v be_v 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 â—_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 ex._n 1._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 iâ—_n length_n make_v a_o square_a foot_n or_o iâ—_n 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 â—rne_n fooâ—_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 anâ—_n 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 goeâ—_n to_o make_v up_o a_o foot_n of_o board_n oâ—_n glass_n or_o any_o superficies_n suppose_v â—_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 &_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 â—o_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 3¼_n double_a 3¼_n it_o make_v 6½_n than_o i_o say_v that_o twice_o the_o length_n from_o 6½_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 ex._n 2._o have_v a_o superficies_n of_o any_o length_n and_o breadth_n give_v 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_n of_o the_o line_n of_o superficial_a or_o board_n 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 iâ—_n 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 truâ—_n length_n at_o that_o squareness_n to_o make_v a_o foot_n of_o timber_n ex._n 1._o 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 therâ—_n 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 iâ—_n 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 iâ—_n 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 â—hen_o you_o must_v seek_v the_o square_a inch_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 right_o under_o 7_o 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_o at_o 8_o inch_n square_v you_o find_v only_o 2_o foot_n 3_o inch_n 0_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_n but_o if_o they_o differ_v much_o than_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 thâ—_n carpenter_n plain-rule_a i_o have_v also_o add_v a_o table_n foâ—_n the_o under-measure_n for_o timber_n &_o board_n to_o inch_n and_o quarter_n anâ—_n 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 inches_n anâ—_n quarter_n your_o timber_n be_v squareâ—_n 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 inches_n ten_o part_n of_o a_o inch_n and_o ten_o of_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 oâ—_n timber_n or_o board_n ex._n 3._o a_o piece_n of_o timber_n 3_o inch_n 1_o quarter_n f._n inch._n 10._o 100_o square_a will_n have_v 13_o 7_o 5_o 9_o part_n to_o make_v a_o foot._n and_o a_o board_n of_o 3_o inch_n and_o a_o quarter_n broad_a must_n f._n inc._n 10._o 100_o have_v 3_o 8_o 3_o 0_o 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 and_o quarter_n in_o qr_n foot_n in_o 10p_n 100_o  _fw-fr 1_o 2304_o 0_o 0_o 0_o  _fw-fr 2_o 576_o 0_o 0_o 0_o  _fw-fr 3_o 256_o 0_o 0_o 0_o 1_o 1_o 144_o 0_o 0_o 0_o  _fw-fr 1_o 92_o 1_o 9_o 7_o  _fw-fr 2_o
part_n as_o here_z 5_o for_o 3_o time_n 5_o be_v 15_o open_v the_o compass_n from_o thence_o to_o the_o principal_a and_o then_o turn_v the_o other_o two_o turn_n viz._n 10_o 15_o and_o this_o may_v avoid_v much_o error_n or_o at_o the_o least_o much_o mitigate_v it_o for_o in_o these_o question_n the_o large_a the_o line_n be_v the_o better_a prob._n iu._n a_o yearly_a rent_n or_o annuity_n be_v propound_v to_o find_v the_o worth_n in_o ready_a money_n first_o find_v by_o the_o last_o what_o the_o arrear_n come_v to_o at_o the_o term_n propound_v and_o then_o what_o those_o arrear_n be_v worth_a in_o ready_a money_n and_o that_o shall_v be_v the_o value_n of_o it_o in_o ready_a money_n examp._n what_o may_v a_o lease_n of_o 10_o l._n per_fw-la annum_fw-la have_v 15_o year_n to_o come_v be_v worth_a in_o ready_a money_n i_o find_v by_o the_o last_o problem_n that_o the_o arrear_n of_o 10l_n per_fw-la ann_n forbear_v 15_o year_n be_v worth_a 231_o l._n 4_o s._n and_o likewise_o i_o find_v by_o the_o second_o problem_n that_o 231_o l._n 4_o s._n be_v worth_n in_o ready_a money_n 96_o l._n 16_o s._n and_o so_o much_o may_v a_o man_n give_v for_o a_o lease_n of_o 10_o l._n per_fw-la ann_n for_o 15_o year_n to_o come_v at_o the_o rate_n of_o 6_o l._n per_fw-la cent_n but_o if_o it_o be_v not_o to_o begin_v present_o but_o to_o stay_v a_o certain_a term_n long_o than_o you_o must_v add_v that_o time_n to_o the_o time_n of_o forbearance_n as_o suppose_v that_o after_o 5_o year_n it_o be_v to_o begin_v than_o you_o must_v say_v 231_o l._n 4_o s._n forbear_v 20_o year_n be_v worth_a in_o ready_a money_n and_o it_o be_v 72_o l._n 8_o s._n and_o that_o shall_v be_v the_o value_n of_o the_o lease_n require_v prob._n v._n a_o sum_n of_o money_n be_v propound_v to_o find_v what_o annuity_n to_o continue_v any_o number_n of_o year_n at_o any_o rate_n propound_v that_o sum_n of_o money_n will_v purchase_v take_v any_o know_a annuity_n and_o find_v the_o value_n of_o it_o in_o ready_a money_n this_o be_v do_v the_o proportion_n will_v be_v thus_o as_o the_o value_n find_v out_o be_v to_o the_o annuity_n take_v so_o be_v the_o sum_n propound_v to_o the_o annuity_n require_v examp._n what_o annuity_n to_o continue_v 15_o year_n will_v 800_o l._n purchase_n after_o the_o rate_n of_o 6_o l._n per_fw-la cent._n here_o first_o i_o take_v 10l_o per_fw-la ann_n for_o 15_o year_n and_o find_v it_o to_o be_v worth_a in_o ready_a money_n 96_o l._n 16_o s._n by_o the_o last_o problem_n then_o i_o say_v as_o 96_o l._n 8_o s._n be_v to_o 10_o so_o be_v 800_o to_o 82-7_a which_o be_v 82l_o 14_o s._n and_o so_o much_o near_o do_v i_o conclude_v will_v a_o annuity_n of_o 82_o l._n 14_o s._n per_fw-la ann_n be_v worth_n for_o 15_o year_n after_o the_o rate_n of_o 6_o l._n per_fw-la cent._n viz._n 800_o l._n also_o in_o this_o impression_n be_v add_v the_o use_n of_o the_o line_n of_o pence_n which_o be_v add_v to_o the_o line_n of_o number_n next_o to_o it_o when_o it_o shall_v be_v desire_v by_o any_o one_o be_v very_o convenient_a for_o cast_v up_o small_a sum_n of_o money_n in_o any_o concern_v whatsoever_o the_o line_n of_o number_n and_o penny_n together_o do_v give_v the_o decimal_n fraction_n of_o any_o sum_n under_o 20_o s._n very_o near_o as_o by_o the_o print_n to_o 11_o radixes_fw-la be_v most_o plain_o see_v where_o 20_o s._n or_o 1_o l._n in_o money_n be_v at_o 1_o in_o the_o four_o line_n and_o 2_o s._n one_o ten_o of_o a_o pound_n at_o 1_o right_a over_o it_o in_o the_o three_o line_n 9_o farthing_n and_o 6_o ten_o of_o a_o farthing_n be_v one_o ten_o of_o two_o shilling_n at_o 001_o in_o the_o second_o line_n right_o over_o 01._o last_o 96_o 100_o part_n of_o a_o farthing_n at_o 0001_o in_o the_o first_o line_n of_o number_n towards_o the_o right_a hand_n or_o the_o 96_o 1000_o part_n at_o the_o 00001_o at_o the_o left_a end_n of_o the_o same_o line_n therefore_o note_n if_o 20_o s._n be_v 1_o 15_o s._n be_v 075_o 12_o s._n be_v 06_o 10_o s._n be_v 05_o 5_o s._n be_v at_o 025_o and_o 2_o s._n or_o 24_o d._n at_o 01_o which_o on_o two-foot_n rule_n be_v set_v at_o 10_o at_o the_o end_n of_o the_o rule_n though_o in_o this_o case_n call_v but_o one_o ten_o when_o 1_o be_v one_o pound_n then_o if_o 1_o or_o 10_o at_o the_o end_n be_v 24_o penny_n 18_o penny_n be_v at_o 75_o 12_o d._n at_o 5_o 6_o d._n at_o 25_o 2_o d._n at_o 8.33_o in_o the_o first_o part_n and_o 1_o d._n at_o 4166_o and_o 1_o farthing_n at_o 1042_o a_o little_a beyond_o the_o first_o 1_o on_o two-foot_n rule_n from_o hence_o you_o may_v see_v that_o the_o print_n of_o the_o eleven_o line_n of_o number_n show_v the_o right_a decimal_n fraction_n of_o any_o sum_n under_o 1_o pound_n sterling_n &_o by_o consequence_n for_o any_o sum_n above_o and_o be_v purposely_o make_v to_o explain_v this_o on_o two-foot_n rule_n the_o use_n of_o the_o line_n of_o number_n and_o penny_n lay_v together_o on_o two-foot_n rule_n may_v be_v in_o a_o brief_a manner_n thus_o 1._o at_o any_o price_n 100_o or_o 5_o score_n what_o cost_v 1_o count_v 10_o at_o the_o end_n of_o the_o line_n 10_o l._n examp._n at_o 5_o l._n per_fw-la 100_o count_v at_o 5_o in_o the_o second_o part_n because_o 10_o be_v call_v 10_o l._n just_o over_o or_o under_o it_o in_o the_o line_n of_o penny_n be_v 12_o d._n the_o exact_a answer_n for_o 100_o s._n be_v 5_o l._n 2._o examp._n at_o 2_o l._n 10_o s._n per_fw-la 100_o right_a against_o 2.5_o on_o number_n represent_v 2_o l._n 10_o s._n right_a against_o it_o on_o the_o line_n of_o pence_n be_v 6_o d._n the_o answer_n for_o 100_o 6_o d._n be_v 2_o l._n 10_o s._n now_o observe_v if_o 1_o in_o the_o middle_n be_v call_v 1_o l._n then_o in_o the_o first_o part_n 9_o be_v 18_o s._n 9.5_o be_v 19_o s._n 5_o towards_o the_o beginning-end_n be_v 10_o s._n and_o 1_o at_o the_o very_a beginning_n end_n be_v 2_o s._n then_o to_o supply_v all_o under_o 2_o s._n to_o 1_o farthing_n begin_v again_o at_o the_o upper_a end_n at_o 10_o where_o be_v set_v 24_o d._n the_o same_o with_o 2_o s._n and_o back_o again_o 23._o 22._o 21._o 20._o 19_o 18_o penny_n at_o 75_o than_o 17._o 16._o 15._o 14._o 13._o 12_o d._n and_o 5_o than_o 11_o 10._o 9_o 8._o 7._o 6_o d._n at_o 25_o then_o 5._o 4._o 3._o 2_o d._n at_o 0.834_o than_o 1_o penny_n at_o 0.4166_o than_o 3_o farthing_n 2_o farthing_n 1_o farthing_n at_o 0.1042_o and_o every_o 10_o of_o a_o farthing_n in_o prick_n between_o the_o farthing_n 3._o examp._n at_o 1_o l._n per_fw-la 100_o count_v at_o the_o middle_n 1_o be_v 2_o d._n 1_o far_o 6_o ten_o of_o a_o far_o for_o 1._o 4._o examp._n at_o 10_o s._n per_fw-la 100_o count_v at_o 5_o in_o the_o first_o part_n just_a against_o it_o in_o the_o line_n of_o penny_n be_v 1_o penny_n or_o 4_o farthing_n &_o 8_o ten_o of_o a_o farthing_n the_o true_a answer_n 5._o examp._n at_o 2_o s._n per_fw-la 100_o count_v at_o 1_o at_o the_o begin_n of_o the_o line_n of_o number_n be_v no_o farthing_n but_o 96_o part_n of_o a_o farthing_n in_o 100_o pt_n the_o answer_n for_o the_o half_a of_o 96_o be_v 48_o the_o farthing_n in_o 2_o s._n 6._o examp._n but_o for_o any_o price_n under_o 2_o s._n per_fw-la 100_o count_v thus_o as_o 12_o d._n per_fw-la 100_o just_a against_o 12_o d._n on_o the_o line_n of_o penny_n be_v 5_o on_o number_n for_o 5_o ten_o of_o a_o farthing_n the_o near_a answer_n for_o 5_o ten_o of_o a_o farthing_n be_v half_a a_o farthing_n and_o 100_o half_a farthing_n be_v 50_o farthing_n be_v two_o farthing_n above_o 48_o the_o farthing_n in_o one_o shilling_n 7._o examp._n at_o 6_o d._n per_fw-la 100_o right_a against_o 6_o in_o the_o line_n of_o penny_n be_v 025_o or_o one_o quarter_n of_o a_o ten_o of_o a_o farthing_n on_o the_o line_n of_o number_n the_o answer_n near_o the_o truth_n for_o a_o hundred_o quarter_n of_o a_o farthing_n be_v 50_o half_a farthing_n or_o 25_o farthing_n one_o more_o than_o 6_o d._n but_o if_o you_o count_v 1_o farthing_n less_o for_o every_o 6_o d._n you_o shall_v have_v it_o right_n example_n at_o 18_o d._n per_fw-la 100_o count_v 17_o d._n and_o 1_o far_o 3_o far_o less_o than_o 18_o d._n and_o just_o against_o it_o on_o number_n be_v 12_o 100_o pt_o of_o 1_o farthing_n the_o true_a price_n of_o 1._o again_o at_o 12_o d._n count_v at_o 11_o d._n 2_o far_o just_a against_o it_o on_o number_n be_v 48_o 100_o
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_v timber_n by_o the_o sliding-rule_n prob._n i._n 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_a rule_n of_o three_o examp._n at_o 8_o inch_n square_a &_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_n 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._o 5_o near_o on_o then_o look_v for_o 13._o 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 ii_o to_o measure_v a_o piece_n that_o be_v not_o square_v set_v 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 2_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 ex._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 fere_n prob._n iii_o the_o square_a 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 ex._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 inch_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 side_n 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 near_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 the_o circumference_n or_o square_n give_v a_o table_n of_o the_o true_a size_n of_o glasier_n quarry_n both_o long_a and_o square_a calculate_v by_o j._n b._n square-quarry_n 77._o 19_o gr_n quarry_n rang._n sides_n bread_n leng_fw-mi content_a in_o foot_n content_a in_o inc_fw-la 8_o in_o 100_o i_o 100_o i._n p_o i_o pt_n f._n p_o â—ts_v inc._n p._n 8_o 4_o 20_o 4_o 30_o 5_o 36_o 6_o 70_o 0._o 1250_o 1._o 50_o 10_o 3_o 76_o 3_o 84_o 4_o 80_o 6_o 00_o 0._o 1000_o 1._o 20_o 12_o 3_o 43_o 3_o 51_o 4_o 38_o 5_o 47_o 0._o 0833_o 1._o 00_o 15_o 3_o 07_o 3_o 13_o 3_o 92_o 4_o 90_o 0._o 0667_o 0._o 80_o 18_o 2_o 80_o 2_o 86_o 3_o 57_o 4_o 47_o 0._o 0555_o 0._o 666_o 20_o 2_o 66_o 2_o 72_o 3_o 39_o 4_o 24_o 0_o 5000_o 0._o 60_o long_a quarry_n 67._o 22_o quarry_n rang._n sides_n bread_n leng_fw-mi content_fw-fr content_fw-fr  _fw-fr in_o pt_n i._o pt_v â—_o 100_o â—_o pts_n f._n 100_o â—_o pt_o 8_o 4_o 09_o 4_o 41._o 4._o 90_o 7._o 34_o 0._o 1250_o 1._o 50_o 10_o 3_o 65_o 3._o 95_o 4._o 38_o 6._o 57_o 0._o 1000_o 1._o 20_o 12_o 3_o 34_o 3_o 61_o 4._o 00_o 6._o 00_o 0._o 0833_o 1._o 00_o 15_o 2_o 98._o 3_o 23_o 3._o 58_o 5._o 37_o 0._o 0667_o 0._o 80_o 18_o 2_o 58_o 2_o 79_o 3._o 10_o 4._o 90_o 0._o 0555_o 0._o 666_o 20_o 2_o 72_o 2_o 94_o 3._o 27_o 4._o 65_o 0._o 0500_o 0._o 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 a_o half_a 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_a 10_n or_o long_a 12_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 that_o distance_n lay_v the_o right_a way_n increase_v for_o a_o big_a or_o decrease_v for_o a_o less_o from_o the_o side_n of_o the_o know_a size_n shall_v give_v the_o reciprocal_a side_n of_o the_o inquire_v size_n example_n for_o square_a 12_n the_o half_a distance_n on_o the_o line_n of_o number_n between_o 1000_o the_o content_a of_o square_a 10_n and_o 0.833_o the_o content_a of_o square_a 12_n shall_v reach_v from_o 6_o the_o length_n of_o square_a 10_n to_o 5.47_o the_o length_n of_o square_a 12_n and_o from_o 4._o 80_o the_o breadth_n of_o square_a 10_n to_o 4_o 38_o the_o breadth_n of_o square_a 12_n and_o from_o 3_o 84_o to_o 3._o 51_o and_o from_o 3_o 76_o to_o 3_o 43_o and_o so_o for_o all_o the_o rest_n chap._n iu._n 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._n b._n first_o when_o the_o figure_n on_o the_o timber_n side_n stand_v right_a towards_o you_o fit_a to_o read_v than_o that_o half_a or_o piece_n next_o to_o your_o right_a hand_n i_o call_v the_o right_a side_n the_o other_o be_v of_o necessity_n the_o left_a second_o the_o figure_n on_o the_o right_a side_n be_v first_o at_o the_o low_a end_n where_o the_o brass_n be_v pine_v fast_o either_o 3_o or_o 4_o or_o 5_o it_o matter_n not_o much_o which_o yet_o to_o have_v 3_o there_o be_v best_a then_o upward_o 4._o 5._o 6._o 7._o 8._o 9_o 10._o 11._o for_o so_o many_o inch_n then_o 1._o 2_o 3._o 4._o 5._o 6._o 7._o 8_o 9_o 10._o 11._o 12._o under_o the_o brass_n at_o the_o top_n for_o so_o many_o foot_n the_o division_n between_o to_o 1_o foot_n be_v quarter_n of_o inch_n the_o next_o above_o 1_o foot_n be_v only_o whole_a inch_n as_o you_o may_v plain_o see_v three_o at_o 1_o foot_n you_o have_v the_o word_n square_a at_o 1_o foot_n 1_o inch_n ½_o be_v a_o mark_n and_o right_a against_o it_o be_v set_v td_n note_v the_o true_a diameter_n of_o a_o â—ound_o cylinder_n at_o a_o inch_n further_o â—s_v 12_o set_v which_o i_o call_v small_a 12_o be_v in_o small_a figure_n again_o at_o 1_o foot_n 3_o inch_n better_o be_v another_o mark_n and_o right_a against_o it_o the_o word_n diameter_n for_o the_o diameter_n of_o a_o piece_n of_o timber_n according_a to_o the_o usual_a english_a allowance_n then_o again_o at_o 3_o foot_n 6_o inch_n ½_o near_o be_v tr_z for_o the_o true_a circumference_n of_o a_o round_n cillander_fw-ge 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 also_o at_o 13_o foot_n 7_o inch_n be_v td_a and_o at_o 3_o inch_n and_o ½_o be_v tr._n 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 gage_v any_o wine_n or_o beer-vessel_n the_o wine_n at_o 17_o