Selected quad for the lemma: hand_n

Word A Word B Word C Word D Occurrence Frequency Band MI MI Band Prominent
hand_n call_v left_a right_a 6,194 5 6.0677 4 false
View all documents for the selected quad

Text snippets containing the quad

ID Title Author Corrected Date of Publication (TCP Date of Publication) STC Words Pages
A64223 The semicircle on a sector in two books. Containing the description of a general and portable instrument; whereby most problems (reducible to instrumental practice) in astronomy, trigonometry, arithmetick, geometry, geography, topography, navigation, dyalling, &c. are speedily and exactly resolved. By J. T. Taylor, John, 1666 or 7-1687. 1667 (1667) Wing T533B; ESTC R221720 52,688 153

There is 1 snippet containing the selected quad. | View original text

run_v thus_o as_o the_o co-tangent_a of_o the_o latitude_n be_v to_o the_o tangent_fw-la of_o the_o sun_n declination_n so_o be_v the_o radius_fw-la to_o the_o sine_fw-la of_o ascensional_a difference_n then_o by_o the_o three_o variety_n you_o may_v make_v another_o problem_n viz._n as_o the_o radius_fw-la be_v to_o the_o co-tangent_a of_o the_o latitude_n so_o be_v the_o sine_fw-la of_o the_o sun_n ascensional_a difference_n to_o the_o sine_fw-la of_o his_o declination_n again_o by_o the_o four_o variety_n you_o may_v make_v a_o three_o problem_n thus_o as_o the_o sine_fw-la of_o the_o sun_n ascensional_a difference_n be_v to_o the_o tangent_fw-la of_o the_o sun_n declination_n so_o be_v the_o radius_fw-la to_o the_o co-tangent_a of_o the_o latitude_n by_o this_o artifice_n many_o have_v stuff_v their_o book_n with_o bundle_n of_o problem_n chap._n vii_o some_o use_n of_o the_o line_n of_o circumference_n diameter_n square_a equal_a and_o square_n inscribe_v all_o these_o be_v line_n of_o equal_a part_n bear_v such_o proportion_n to_o each_o other_o as_o the_o thing_n signify_v by_o their_o name_n their_o use_n be_v this_o any_o one_o of_o they_o give_v in_o inch_n or_o foot_n etc._n etc._n to_o find_v how_o much_o any_o of_o the_o other_o three_o be_v in_o the_o same_o measure_n suppose_v i_o have_v the_o circumference_n of_o a_o circle_n tree_n or_o cylinder_n give_v in_o inch_n i_o take_v the_o same_o number_n of_o part_n as_o the_o circle_n be_v inch_n from_o the_o line_n of_o circumference_n and_o apply_v that_o distance_n to_o the_o respective_a line_n i_o have_v immediate_o the_o square_a equal_a square_v inscribe_v and_o diameter_n in_o inch_n and_o the_o like_a if_o any_o of_o those_o be_v give_v to_o find_v the_o circumference_n this_o need_v no_o example_n the_o conveniency_n of_o this_o line_n any_o one_o may_v experiment_n in_o stand_v timber_n for_o take_v the_o girth_n or_o circumference_n with_o a_o line_n find_v the_o diameter_n from_o that_o diameter_n abate_v twice_o the_o thickness_n of_o the_o bark_n and_o you_o have_v the_o true_a diameter_n when_o it_o be_v bark_v and_o by_o chap._n 9_o probl._n 5._o you_o will_v guess_v very_o near_o at_o the_o quantity_n of_o timber_n in_o any_o stand_a tree_n chap._n viii_o to_o measure_v any_o kind_n of_o superficies_n as_o board_n glass_n pavement_n walnscot_n hang_n walling_n slate_z or_o tyl_v by_o the_o line_n of_o number_n on_o the_o outward_a ledge_n the_o way_n of_o account_v any_o number_n upon_o or_o work_a proportion_n by_o the_o line_n of_o number_n be_v sufficient_o show_v already_o chap._n 6._o which_o i_o shall_v not_o here_o repeat_v only_o propose_v the_o proportion_n for_o these_o problem_n and_o refer_v you_o to_o those_o direction_n probl._n 1._o the_o breadth_n of_o a_o board_n give_v in_o inch_n to_o find_v how_o many_o inch_n in_o length_n make_v a_o foot_n at_o that_o breadth_n say_v as_o the_o breadth_n in_o inch_n be_v to_o 12_o so_o be_v 12_o to_o the_o length_n in_o inch_n for_o a_o foot_n at_o that_o breadth_n ex._n gr_n at_o 8_o inch_n breadth_n you_o must_v have_v 18_o inch_n in_o length_n for_o a_o foot_n probl._n 2._o the_o breadth_n and_o length_n of_o a_o board_n give_v to_o find_v the_o content_a as_o 12_o be_v to_o the_o length_n in_o foot_n and_o inch_n so_o be_v the_o breadth_n in_o inch_n to_o the_o content_a in_o foot_n ex._n gr_n at_o 15_o inch_n breadth_n and_o 20_o foot_n length_n you_o have_v 25_o foot_n of_o board_n probl._n 3_o a_o speedy_a way_n to_o measure_v any_o quantity_n of_o board_n the_o two_o former_a problem_n be_v sufficient_a to_o measure_v small_a parcel_n of_o board_n when_o you_o have_v occasion_n to_o measure_v great_a quantity_n as_o 100_o foot_n or_o more_o lay_v all_o the_o board_n of_o one_o length_n together_o and_o when_o the_o length_n of_o the_o board_n exceed_v 12_o foot_n use_v this_o proportion_n as_o the_o length_n in_o foot_n and_o inch_n be_v to_o 12_o so_o be_v 100_o to_o the_o breadth_n in_o inch_n for_o a_o 100_o foot_n ex._n gr_n at_o 30_o foot_n in_o length_n 40_o inch_n in_o breadth_n make_v a_o 100_o foot_n of_o board_n reckon_v five_o score_n to_o the_o hundred_o this_o find_v with_o a_o rule_n or_o line_n measure_v 40_o inch_n at_o both_o end_n in_o breadth_n and_o you_o have_v 100_o foot_n when_o one_o end_n be_v broad_a than_o another_o you_o may_v take_v the_o breadth_n of_o the_o overplus_n of_o 100_o foot_n at_o both_o end_n and_o take_v half_o that_o sum_n for_o the_o true_a breadth_n of_o the_o overplus_n by_o probl._n 2._o find_v the_o content_a thereof_o when_o your_o board_n be_v under_o 12_o foot_n in_o length_n say_v as_o the_o length_n in_o foot_n and_o inch_n be_v to_o 12_o so_o be_v 50_o unto_o the_o breadth_n in_o inch_n for_o 50_o foot_n of_o board_n and_o then_o you_o need_v only_o double_a that_o breadth_n to_o measure_v 100_o foot_n as_o before_o in_o like_a manner_n you_o may_v measure_v two_o three_o four_o five_o a_o hundred_o etc._n etc._n foot_n of_o board_n speedy_o as_o your_o occasion_n require_v probl._n 4._o to_o measure_v wainscot_n hang_n plaster_n etc._n etc._n these_o be_v usual_o compute_v by_o the_o yard_n and_o then_o the_o proportion_n be_v as_o nine_o to_o the_o length_n in_o foot_n and_o inch_n so_o be_v the_o breadth_n or_o depth_n in_o foot_n and_o inch_n to_o the_o content_a in_o yard_n ex._n gr_n at_o 18_o foot_n in_o length_n and_o two_o foot_n in_o breadth_n you_o have_v four_o yard_n probl._n 5._o to_o measure_v mason_n or_o slater_n work_v as_o walling_n tyl_v etc._n etc._n the_o common_a account_n of_o these_o be_v by_o the_o rood_n which_o be_v eighteen_o foot_n square_a that_o be_v 324_o square_a foot_n in_o one_o rood_n and_o then_o the_o proportion_n be_v as_o 324_o to_o the_o length_n in_o foot_n so_o be_v the_o breadth_n in_o foot_n to_o the_o content_a in_o rood_n ex._n gr_n at_o 30_o foot_n in_o length_n and_o 15_o foot_n in_o breadth_n you_o have_v 1_o rood_n 3_o 10_o and_o better_o or_o one_o rood_n 126_o 124_o part_n of_o a_o rood_n chap._n ix_o the_o mensuration_n of_o solid_n as_o timber_n stone_n etc._n etc._n by_o the_o line_n on_o the_o proportional_a side_n of_o the_o loose_a piece_n these_o two_o line_n meet_v upon_o one_o line_n in_o the_o midst_n betwixt_o they_o for_o distinction_n sake_n i_o call_v one_o the_o right_a the_o other_o the_o left_a line_n which_o be_v know_v by_o the_o hand_n they_o stand_v towards_o when_o you_o hold_v up_o the_o piece_n in_o the_o right_a way_n to_o read_v the_o figure_n the_o right_a line_n have_v two_o figure_a partition_n the_o first_o partition_n be_v from_o 3_o at_o the_o begin_n to_o the_o letter_n sq._n every_o figure_a division_n represent_v a_o inch_n and_o each_o subdivision_n quarter_n of_o a_o inch_n the_o next_o partition_n be_v from_o the_o letter_n sq._n unto_o 12_o at_o the_o end_n every_o figure_a division_n signify_v a_o foot_n and_o each_o sub-division_n the_o inch_n in_o a_o foot_n the_o letter_n t_o r_o and_o t_o d_o be_v for_o the_o circumference_n and_o diameter_n in_o the_o next_o measure_v of_o cylinder_n the_o letter_n r_o and_o d._n for_o the_o measure_n of_o timber_n according_a to_o the_o vulgar_a allowance_n when_o the_o four_o part_n of_o the_o girt_n be_v take_v etc._n etc._n the_o letter_n a_o and_o w_n be_v the_o gauger_v point_n for_o ale_n and_o wine_n measure_v last_o the_o figure_n 12_o betwixt_o d_o and_o t_o d._n be_v for_o a_o use_n express_v probl._n 2._o the_o left_a line_n also_o have_v two_o figure_a partition_n proceed_v first_o from_o 1_o at_o the_o begin_n to_o one_o foot_n or_o 12_o inch_n each_o whereof_o be_v subdivide_v into_o quarter_n from_o thence_o again_o to_o 100_o each_o whereof_o to_o 10_o foot_n be_v subdivide_v into_o inch_n etc._n etc._n and_o every_o foot_n be_v figure_v but_o from_o 10_o foot_n to_o 100_o only_o every_o ten_o foot_n be_v figure_v the_o sub-division_n represent_v foot_n the_o method_n of_o work_a proportion_n by_o these_o line_n only_o observe_v the_o side_n be_v the_o same_o as_o by_o the_o line_n of_o number_n viz._n extend_v from_o the_o first_o to_o the_o second_o etc._n etc._n probl._n 1._o to_o reduce_v timber_n of_o unequal_a breadth_n and_o depth_n to_o a_o true_a square_n as_o the_o breadth_n on_o the_o left_a be_v to_o the_o breadth_n on_o the_o right_n so_o be_v the_o depth_n on_o the_o left_a to_o the_o square_n on_o the_o right_a line_n at_o 7_o inch_n breadth_n and_o 18_o inch_n depth_n you_o have_v 11_o inch_n ¼_n and_o better_a for_o the_o true_a square_n probl._n 2._o the_o square_a of_o a_o piece_n of_o timber_n give_v in_o inches_n or_o foot_n and_o inch_n to_o find_v how_o much_o