Selected quad for the lemma: end_n

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

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
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

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to_o the_o diameter_n at_o head_n give_v the_o mean_a diameter_n ex._n gr_n at_o 27_o inch_n the_o boung_a and_o 19_o inch_n two_o ten_o at_o the_o head_n the_o difference_n be_v 7_o inch_n 8_o ten_o the_o four_o number_n find_v by_o the_o proportion_n will_v be_v 5_o inch_n 4_o ten_o and_o one_o half_a which_o add_v to_o the_o diameter_n at_o the_o head_n gives_z 24_o inch_n 6_o ten_o and_o one_o half_a ten_o of_o a_o inch_n for_o the_o mean_a diameter_n probl._n 2._o the_o length_n of_o the_o vessel_n and_o the_o mean_a diameter_n give_v in_o inch_n and_o ten_o part_n of_o

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 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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 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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