Selected quad for the lemma: end_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
end_n	draw_v	line_n	straight_a	2,138	5	12.9115	5	true

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A48340	The line of proportion or numbers, commonly called Gunters line, made easie by the which may be measured all manner of superficies and solids, as board, glass, pavement, timber, stone, &c. : also, how to perform the same by a line of equal parts ... : whereunto is added, the use of the line of proportion improved ... / by William Leybourn.	Leybourn, William, 1626-1716.	1667 (1667)	Wing L1916; ESTC R18369	39,128	184

three_o part_n of_o the_o content_a of_o the_o circle_n at_o the_o bungler_n wherefore_o extend_v the_o compass_n from_o 1_o to_o 5236_o the_o same_o extent_n will_v reach_v from_o 1024_o the_o square_n of_o 32_o the_o diameter_n at_o the_o bung_n to_o 536.166_o inch_n the_o content_a of_o two_o three_o part_n of_o the_o circle_n at_o the_o bungler_n ii_o for_o one_o three_o part_n of_o the_o circle_n at_o the_o head_n as_o 1_o to_o this_o general_a number_n 2618_o so_o be_v 324_o the_o square_a of_o the_o diameter_n at_o head_n 18_o to_o 84.823_o inch_n which_o be_v one_o three_o part_n of_o the_o content_a of_o the_o circle_n at_o the_o head_n wherefore_o extend_v the_o compass_n from_o 1_o to_o 2618_o the_o same_o extent_n will_v reach_v from_o 324_o the_o square_n of_o 18_o the_o diameter_n at_o the_o head_n to_o 84.823_o inch_n the_o content_a of_o one_o three_o part_n of_o the_o diameter_n at_o the_o head_n iii_o for_o the_o number_n of_o square_a inch_n in_o the_o vessel_n add_v these_o two_o number_n 536.166_o and_o 84.823_o they_o make_v 620.989_o  _fw-fr 40_o which_o multiply_v by_o 40_o the_o length_n of_o the_o vessel_n produce_v 24839.560_o and_o so_o many_o square_a inch_n be_v contain_v in_o such_o a_o vessel_n who_o diameter_n at_o the_o head_n be_v 18_o inch_n at_o the_o bung_v 32_o inch_n and_o be_v 40_o inch_n long_o iv_o for_o the_o content_a in_o wine_n or_o ale_n gallon_n divide_v this_o number_n 24839.56_o by_o 231_o for_o wine_n 282_o for_o ale_n and_o the_o quotient_n shall_v tell_v you_o the_o number_n of_o gallon_n and_o part_n of_o a_o gallon_n wine_n  _fw-fr gall_n part_n 231_o 24839.56_o 107.52_o  _fw-fr 231_o  _fw-fr  _fw-fr 1739_o  _fw-fr  _fw-fr 1617._o  _fw-fr  _fw-fr 1225_o  _fw-fr  _fw-fr 1155_o  _fw-fr  _fw-fr 706_o  _fw-fr  _fw-fr 693_o  _fw-fr  _fw-fr 13_o  _fw-fr ale_n  _fw-fr gall_n part_n 282_o 24839.56_o 88.08_o  _fw-fr 2256_o  _fw-fr  _fw-fr 2279_o  _fw-fr  _fw-fr 2256_o  _fw-fr  _fw-fr 2356_o  _fw-fr  _fw-fr 2256_o  _fw-fr  _fw-fr 100_o  _fw-fr by_o this_o work_n you_o may_v perceive_v that_o this_o vessel_n contain_v 107_o gallon_n 53_o part_n of_o wine_n measure_n 88_o gallon_n 08_o part_n of_o ale_n measure_n how_o to_o multiply_v and_o divide_v by_o the_o line_n be_v teach_v in_o the_o second_o and_o three_o chapter_n of_o this_o book_n and_o therefore_o be_v needless_a here_o to_o repeat_v it_o again_o but_o i_o choose_v rather_o to_o do_v it_o arithmetical_o for_o the_o better_a illustration_n and_o for_o the_o satisfaction_n of_o such_o as_o have_v a_o delight_n in_o number_n how_o to_o measure_v board_n glass_n timber_n stone_n etc._n etc._n by_o a_o line_n of_o equal_a part_n draw_v from_o the_o centre_n of_o a_o two-foot_n joynt-rule_n all_o proportion_n that_o may_v be_v wrought_v upon_o a_o straight_a ruler_n by_o the_o line_n of_o proportion_n or_o number_n the_o same_o may_v be_v wrought_v by_o a_o line_n of_o equal_a part_n draw_v from_o the_o centre_n of_o a_o open_a joint_n and_o whereas_o this_o line_n of_o equal_a part_n be_v number_v from_o the_o centre_n of_o the_o rule_n towards_o the_o end_n thereof_o by_o 1_o 2_o 3_o 4_o etc._n etc._n to_o 10_o that_o these_o figure_n as_o in_o the_o other_o line_n do_v sometime_o signify_v themselves_o only_o sometime_o 1_o 2_o 3_o etc._n etc._n do_v signify_v 10_o 20_o 30_o etc._n etc._n sometime_o 100_o 200_o 300_o etc._n etc._n according_a to_o the_o quality_n of_o the_o question_n propound_v by_o this_o line_n you_o may_v also_o multiply_v divide_v work_v the_o rule_n of_o proportion_n and_o perform_v divers_a thing_n which_o the_o line_n of_o number_n perform_v and_o some_o other_o which_o that_o will_v not_o but_o i_o shall_v here_o only_o show_v you_o how_o board_n glass_n timber_n stone_n etc._n etc._n may_v be_v thereby_o measure_v which_o i_o shall_v do_v in_o these_o follow_a proposition_n and_o i._o for_o superficial_a measure_n as_o board_n glass_n etc._n etc._n i._o in_o inch-measure_n prop._n i._n a_o plank_n be_v 27_o inch_n broad_a and_o 263_o inch_n long_o how_o many_o square_a inch_n be_v contain_v therein_o as_o i_o be_v to_o 27_o so_o be_v 263_o to_o 7101._o take_v in_o your_o compass_n the_o distance_n from_o the_o centre_n to_o 27_o the_o breadth_n upon_o your_o line_n of_o equal_a part_n with_o this_o distance_n set_v one_o foot_n in_o 10_o at_o the_o end_n of_o the_o line_n and_o open_v the_o rule_n till_o the_o other_o foot_n fall_v in_o 10_o on_o the_o other_o leg_n of_o the_o rule_n the_o rule_n thus_o stand_v take_v with_o your_o compass_n the_o distance_n between_o 263_o on_o one_o leg_n of_o the_o rule_n to_o 263_o on_o the_o other_o leg_n this_o distance_n will_v reach_v from_o the_o centre_n of_o the_o rule_n to_o 7101_o and_o so_o many_o square_a inch_n be_v in_o that_o piece_n prop._n 2._o if_o a_o board_n or_o plank_n or_o piece_n of_o pavement_n or_o of_o glass_n be_v 20_o inch_n broad_a how_o much_o thereof_o in_o length_n shall_v make_v a_o foot_n square_a as_o 20_o be_v to_o 144_o so_o 1_o to_o 7.2_o take_v 144_o out_o of_o your_o line_n of_o equal_a part_n from_o the_o centre_n and_o set_v one_o foot_n in_o 20_o open_v the_o other_o leg_n till_o the_o other_o compass_n point_n fall_n in_o 20_o also_o the_o rule_n thus_o stand_v take_v the_o distance_n between_o 10_o and_o 10_o and_o that_o distance_n will_v reach_v from_o the_o centre_n of_o the_o rule_n to_o 7_o inch_n 2_o 10_o part_n of_o a_o inch_n and_o so_o much_o in_o length_n will_v make_v a_o foot_n square_n ii_o in_o foot-measure_n prop._n 3._o a_o room_n be_v 52_o foot_n broad_a and_o 110.5_o foot_n long_o how_o many_o square_a foot_n be_v there_o in_o that_o room_n as_o 52_o be_v to_o 1_o so_o be_v 110.5_o to_o 5746._o take_v in_o your_o compass_n 52_o the_o breadth_n with_o this_o distance_n open_v the_o ruler_n in_o 10_o and_z 10_o it_o so_o rest_v take_v the_o distance_n between_o 110.5_o and_o 110.5_o on_o either_o side_n that_o distance_n apply_v to_o the_o centre_n of_o the_o rule_n will_v reach_v to_o 5746_o and_o so_o many_o square_a foot_n be_v in_o that_o room_n prop._n 4._o a_o plank_n be_v 2_o foot_n 25_o part_n broad_a how_o much_o in_o length_n thereof_o shall_v make_v a_o foot_n square_n as_o 2.25_o the_o breadth_n be_v to_o 1_o or_o 10_o so_o be_v 10_o to_o 44_o the_o length_n of_o a_o foot_n take_v in_o your_o compass_n the_o distance_n from_o the_o centre_n of_o your_o rule_n to_o 1_o then_o set_v one_o foot_n in_o 2.25_o and_o open_v the_o other_o leg_n till_o the_o other_o compass_n point_n fall_n in_o 2.25_o on_o the_o other_o side_n the_o rule_n thus_o stand_v take_v the_o distance_n between_o 10_o and_o 10_o that_o distance_n apply_v from_o the_o centre_n of_o the_o rule_n will_v reach_v to_o 44_o part_n of_o a_o foot_n and_o so_o much_o in_o length_n will_v make_v a_o foot_n iii_o in_o yard-measure_n prop._n 5._o a_o room_n be_v hang_v with_o tapestry_n contain_v 130_o yard_n 25_o part_n in_o compass_n and_o in_o depth_n 5_o yard_n 20_o part_n how_o many_o yard_n of_o tapestry_n be_v in_o that_o room_n as_o 1_o to_o 5.20_o so_o 130.25_o to_o 677.4_o take_v 5.20_o in_o your_o compass_n and_o that_o distance_n put_v over_o in_o 10_o and_o 10_o the_o rule_n thus_o stand_v take_v the_o distance_n between_o 130.25_o and_o 130.25_o on_o each_o leg_n of_o the_o rule_n that_o distance_n will_v reach_v from_o the_o centre_n of_o the_o rule_n to_o 677_o yard_n 4_o ten_o of_o a_o yard_n ii_o for_o solid-measure_n as_o timber_n stone_n etc._n etc._n by_o the_o line_n of_o equal_a part_n i._o in_o inch-measure_n prop._n i._n a_o piece_n of_o timber_n be_v 30_o inch_n broad_a 21_o inch_n 6_o part_n deep_a and_o 183_o inch_n long_o how_o many_o foot_n be_v contain_v in_o that_o piece_n of_o timber_n 1._o as_o 1_o be_v to_o 30_o so_o be_v 21.6_o to_o 648._o take_v the_o distance_n from_o the_o centre_n to_o 30_o then_o set_v one_o foot_n in_o 10_o and_o open_v the_o rule_n till_o the_o other_o compass_n point_n fall_n in_o 10_o on_o the_o other_o leg_n of_o the_o rule_n then_o take_v the_o distance_n between_o 21.6_o and_o 21.6_o that_o distance_n will_v reach_v from_o the_o centre_n of_o the_o rule_n to_o 648_o the_o content_a of_o the_o base_a or_o end_n of_o the_o piece_n of_o timber_n in_o inch_n then_o 2._o as_o 1728_o the_o number_n of_o inch_n in_o a_o foot_n solid_a be_v to_o 648_o the_o content_a of_o the_o base_a so_o be_v 183_o inch_n the_o length_n to_o 68_o foot_n 62_o part_n the_o content_a in_o foot_n take_v in_o your_o compass_n the_o distance_n from_o the_o centre_n to_o 1728_o with_o this_o distance_n set_v one_o foot_n in_o 648_o and_o

the_o line_n of_o proportion_n or_o number_n common_o call_v gunter_n line_n make_v easie_n by_o the_o which_o may_v be_v measure_v all_o manner_n of_o superficies_n and_o solid_n as_o board_n glass_n pavement_n timber_n stone_n etc._n etc._n also_o how_o to_o perform_v the_o same_o by_o a_o line_n of_o equal_a part_n draw_v from_o the_o centre_n of_o a_o two-foot-rule_n whereunto_o be_v add_v the_o use_n of_o the_o line_n of_o proportion_n improve_v whereby_o all_o manner_n of_o superficies_n and_o solid_n may_v both_o exact_o and_o speedy_o be_v measure_v without_o the_o help_n of_o pen_n or_o compass_n by_o inspection_n look_v only_o upon_o the_o ruler_n by_o william_n leybourn_n london_n print_v by_o j._n s._n for_o g._n sawbridge_n at_o his_o house_n on_o clerkenwell-green_a 1667._o license_v nou._n 9_o 1666._o roger_n l'_fw-mi estrange_v to_o the_o right_n honourable_a sir_n william_n bolton_n knight_n lord_n major_a of_o the_o city_n of_o london_n and_o the_o right_n 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pavement_n wainscots_n plaster_v tyl_v brickwork_n etc._n etc._n to_o all_o which_o use_v i_o have_v particular_o apply_v it_o as_o will_v appear_v by_o several_a instance_n in_o all_o the_o foremention_v particular_n and_o the_o rather_o because_o this_o treatise_n may_v be_v beneficial_a and_o useful_a as_o well_o to_o gentleman_n and_o other_o who_o at_o this_o time_n may_v have_v more_o than_o ordinary_a occasion_n to_o make_v use_n thereof_o in_o the_o re-building_n of_o the_o renown_a city_n of_o london_n as_o to_o artificer_n themselves_o for_o who_o sake_n chief_o it_o be_v intend_v vale._n advertisement_n if_o any_o gentleman_n studious_a in_o the_o mathematics_n have_v or_o shall_v have_v occasion_n for_o instrument_n thereunto_o belong_v or_o book_n to_o show_v the_o use_n of_o they_o they_o may_v be_v furnish_v with_o all_o sort_n useful_a both_o for_o sea_n or_o land_n either_o in_o silver_n brass_n or_o wood_n by_o walter_n hayes_n at_o the_o cross-dagger_n in_o moorfield_n next_o door_n to_o the_o popes-head_n tavern_n where_o they_o may_v have_v all_o sort_n of_o map_n globe_n sea-plat_n and_o mathematical_a paper_n carpenter_n rule_n post_n and_o pocket-dials_n for_o any_o latitude_n steel_n letter_n figure_n sign_n planet_n or_o aspect_n at_o reasonable_a rate_n how_o to_o measure_n board_n and_o timber_n by_o the_o carpenter_n plain_a rule_n all_o manner_n of_o superficial_a and_o solid_a measure_n may_v be_v measure_v the_o most_o absolute_a and_o artificial_a way_n that_o be_v yet_o know_v by_o the_o precept_n and_o example_n in_o this_o book_n deliver_v but_o although_o every_o capacity_n may_v not_o attain_v to_o the_o knowledge_n and_o understanding_n thereof_o i_o think_v good_a here_o to_o insert_v the_o use_n of_o that_o rule_n which_o be_v common_o make_v and_o sell_v and_o which_o every_o artificer_n continual_o carry_v about_o he_o it_o be_v description_n i._o of_o the_o fore-side_n it_o consist_v of_o two_o flat_a side_n one_o of_o which_o towards_o either_o edge_n thereof_o be_v divide_v into_o 24_o equal_a part_n call_v inch_n and_o number_v by_o 1_o 2_o 3_o 4_o and_o so_o forth_o to_o 24_o at_o the_o end_n thereof_o every_o one_o of_o the_o part_n or_o inch_n be_v again_o divide_v into_o two_o equal_a part_n by_o line_n about_o half_a the_o length_n of_o the_o other_o represent_v half_a inch_n and_o every_o of_o these_o half_a inches_n be_v divide_v into_o two_o other_o equal_a part_n call_v quarter_n of_o inch_n and_o each_o of_o those_o again_o into_o two_o other_o equal_a part_n call_v half_a quarter_n of_o inch_n so_o that_o each_o inch_n be_v divide_v into_o eight_o equal_a part_n represent_v inch_n half_n quarter_n and_o half-quarter_n both_o the_o edge_n on_o the_o one_o side_n of_o the_o rule_n be_v thus_o divide_v and_o number_v only_o where_o 24_o stand_v at_o one_o end_n of_o the_o line_n on_o one_o edge_n there_o 1_o stand_v on_o the_o other_o edge_n so_o that_o which_o end_n of_o the_o rule_n soever_o you_o measure_v with_o you_o may_v count_v your_o number_n of_o inch_n and_o part_n right_a without_o turn_v of_o the_o rule_n ii_o of_o the_o backside_n on_o the_o other_o side_n of_o the_o rule_n you_o have_v two_o other_o line_n or_o scale_n draw_v near_o to_o the_o edge_n of_o the_o same_o side_n one_o be_v call_v the_o line_n of_o board-measure_n the_o other_o the_o line_n of_o timber-measure_n at_o the_o beginning_n of_o either_o of_o these_o line_n you_o have_v a_o little_a table_n of_o figure_n the_o one_o for_o board_n the_o other_o for_o timber_n or_o stone_n the_o line_n or_o scale_n of_o board-measure_n begin_v at_o 6_o towards_o your_o left_a hand_n and_o so_o go_v on_o to_o 36_o end_v just_a 4_o inch_n short_a of_o the_o other_o end_n of_o the_o rule_n but_o sometime_o this_o line_n be_v continue_v up_o to_o 100_o but_o nor_o often_o and_o then_o it_o go_v near_a to_o the_o end_n of_o the_o rule_n namely_o to_o within_o a_o inch_n and_o a_o half_a of_o the_o end_n thereof_o at_o the_o beginning_n of_o this_o line_n there_o be_v a_o small_a table_n from_o 1_o to_z 6_o inch_n which_o show_v in_o figure_n the_o quantity_n of_o the_o length_n of_o a_o foot_n of_o any_o board_n from_o one_o inch_n broad_a to_o 6_o inch_n broad_a and_o then_o the_o division_n supply_v the_o great_a breadth_n on_o the_o other_o edge_n on_o the_o same_o side_n you_o have_v the_o line_n or_o scale_n of_o timber-measure_n this_o scale_n begin_v at_o 8_o and_o a_o half_a and_o so_o go_v on_o by_o division_n to_o 36_o towards_o the_o other_o end_n of_o the_o ruler_n namely_o 36_o end_v within_o almost_o a_o inch_n and_o half_a of_o the_o rule_n end_n to_o this_o scale_n also_o there_o belong_v a_o table_n which_o stand_v at_o the_o begin_n of_o the_o line_n and_o go_v from_o 1_o inch_n to_o 8_o inch_n and_o give_v the_o quantity_n of_o the_o length_n of_o a_o foot_n of_o any_o timber_n under_o 8_o inch_n square_a in_o figure_n as_o the_o other_o do_v for_o board_n from_o 1_o to_o 6_o and_o these_o be_v call_v the_o table_n of_o under-measure_n the_o table_n for_o under-board-measure_n 1_o 2_o 3_o 4_o 5_o 6_o 12_o 6_o 4_o 3_o 2_o 2_o 0_o 0_o 0_o 0_o 4_o 0_o the_o table_n for_o under-timber-measure_n 1_o 2_o 3_o 4_o 5_o 6_o 7_o 8_o 144_o 36_o 16_o 9_o 5_o 4_o 2_o 2_o 0_o 0_o 0_o 0_o 9_o 0_o 11_o 3_o thus_o much_o for_o the_o description_n of_o the_o line_n upon_o the_o carpenter_n plain_a rule_n now_o for_o their_o use_n i._o of_o the_o fore-side_n or_o side_n of_o inches_n this_o side_n be_v only_o to_o measure_v the_o length_n and_o breadth_n of_o any_o thing_n to_o be_v measure_v in_o inch_n and_o part_n the_o manner_n of_o do_v whereof_o be_v natural_a to_o every_o man_n for_o take_v the_o rule_n in_o the_o left_a hand_n apply_v it_o to_o the_o