Selected quad for the lemma: land_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
land_n	foot_n	length_n	perch_n	1,311	5	14.4050	5	false

Text snippets containing the quad

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

from_o the_o content_a to_o another_o number_n who_o square_a root_n be_v the_o diameter_n require_v prob._n 17._o have_v the_o content_a to_o find_v the_o circumference_n the_o extent_n from_o 1_o to_o 12_o 75_o will_v reach_v from_o the_o content_a to_o another_o number_n who_o square_a root_n be_v the_o circumference_n require_v prob._n 18._o have_v the_o content_a of_o a_o circle_n to_o find_v the_o side_n of_o a_o square_a equal_a to_o it_o extract_v the_o square_a root_n of_o the_o content_a by_o the_o 12_o problem_n of_o the_o last_o chapter_n and_o that_o be_v the_o side_n require_v prob._n 19_o to_o find_v the_o content_n of_o a_o circle_n two_o way_n multiply_v the_o diameter_n by_o itself_o and_o multiply_v that_o product_n by_o a_o 11_o and_o divide_v this_o last_o product_n by_o 14_o and_o the_o quotient_n shall_v be_v the_o content_a require_v or_o else_o multiply_v half_o the_o diameter_n and_o half_a the_o circumference_n together_o and_o the_o product_n be_v the_o content_a require_v prob._n 20._o how_o to_o measure_v a_o circle_n a_o semicircle_n or_o a_o quarter_n of_o a_o circle_n or_o any_o part_n that_o go_v to_o the_o centre_n of_o the_o suppose_a circle_n first_o for_o a_o circle_n take_v half_o the_o diameter_n and_o half_a the_o circumference_n and_o measure_v it_o then_o as_o a_o oblong_a square_n for_o the_o half_a circle_n take_v half_a the_o diameter_n and_o half_a the_o semicircumference_n and_o do_v likewise_o three_o for_o the_o quarter_n of_o a_o circle_n take_v half_a the_o arch_n of_o that_o quarter_n and_o the_o radius_fw-la or_o semidiameter_n of_o the_o whole_a circle_n and_o work_v as_o you_o will_v do_v with_o a_o oblong_a square_a piece_n and_o you_o shall_v have_v your_o desire_n probl._n 21._o how_o to_o measure_v a_o triangle_n take_v half_o the_o base_a and_o the_o whole_a perpendicular_a and_o work_v with_o they_o two_o as_o if_o it_o be_v a_o oblong_o square_a figure_n or_o you_o may_v take_v the_o whole_a base_a and_o half_a the_o perpendicular_a probl._n 22._o how_o to_o measure_v a_o rhombus_fw-la or_o a_o rhomboide_n a_o rhombus_fw-la be_v a_o diamond-like_a figure_n as_o a_o quarry_n of_o glass_n be_v contain_v 4_o equal_a side_n and_o two_o equal_a opposite_a angle_n but_o a_o rhomboide_n be_v a_o figure_n make_v of_o two_o equal_a opposite_a side_n and_o two_o equal_a opposite_a angle_n and_o to_o measure_v they_o you_o must_v take_v any_o one_o side_n and_o the_o near_a distance_n from_o that_o side_n to_o his_o opposite_a side_n for_o the_o other_o side_n and_o then_o reckon_v it_o as_o a_o oblong_a square_n prob._n 23._o how_o to_o measure_v a_o trapezium_fw-la a_o trapezium_fw-la be_v a_o figure_n comprehend_v of_o 4_o unequal_a side_n and_o of_o 4_o unequal_a angle_n and_o before_o you_o can_v measure_v it_o you_o must_v reduce_v it_o into_o two_o triangle_n by_o draw_v a_o line_n from_o any_o two_o opposite_a corner_n then_o deal_v with_o it_o as_o two_o triangle_n or_o you_o may_v save_v some_o work_n thus_o the_o line_n you_o draw_v from_o corner_n to_o corner_n will_v be_v the_o common_a base_a to_o both_o triangle_n then_o say_v as_o 1_o be_v to_o half_a the_o perpendicular_o of_o both_o the_o triangle_n put_v together_o so_o the_o whole_a base_a to_o the_o content_a prob._n 24._o how_o to_o measure_v a_o many-sided_n irregular_a figure_n or_o polygon_n you_o must_v reduce_v it_o into_o triangle_n or_o to_o trapezium_n by_o draw_v of_o line_n from_o convenient_a opposite_a corner_n and_o then_o the_o work_n be_v all_o one_o with_o that_o of_o the_o last_o problem_n prob._n 25._o how_o to_o measure_v a_o many_o side_v regular_a figure_n common_o call_v a_o regular_a polygon_n measure_v all_o the_o side_n and_o take_v the_o half_a of_o the_o sum_n of_o they_o for_o one_o side_n of_o a_o square_a and_o the_o near_a distance_n from_o the_o centre_n of_o the_o polygon_n to_o the_o middle_n of_o one_o of_o the_o side_n for_o the_o other_o side_n of_o a_o square_a and_o with_o they_o two_o number_n work_v as_o if_o it_o be_v a_o square_n oblong_a figure_n and_o it_o will_v give_v the_o content_a of_o the_o polygon_n desire_v prob._n 26._o how_o to_o reduce_v foot_n into_o yard_n ell_n or_o other_o part_n first_o for_o yard_n if_o 9_o foot_n make_v one_o yard_n how_o many_o shall_v 36_o foot_n make_v the_o extent_n from_o 9_o to_o 2_o will_v reach_v from_o 36_o to_o 4_o for_o so_o many_o yard_n be_v 36_o foot_n but_o if_o you_o be_v to_o measure_v any_o quantity_n by_o the_o yard_n as_o the_o plaster_v or_o paint_v of_o a_o house_n than_o i_o will_v advise_v you_o to_o have_v a_o yard_n to_o be_v divide_v into_o a_o hundred_o part_n which_o be_v as_o near_o as_o common_o workman_n go_v to_o or_o else_o into_o a_o 1000_o if_o you_o do_v require_v more_o exactness_n and_o measure_v all_o your_o length_n and_o breadth_n with_o that_o and_o set_v they_o down_o thus_o 2._o 25_o or_o by_o 1000_o thus_o 2._o 250_o and_o the_o length_n thus_o 10.60_o and_o multiply_v they_o together_o and_o the_o product_n be_v the_o true_a content_n of_o that_o long_a square_n the_o like_a hold_n for_o ell_n or_o pole_n furlong_n or_o any_o other_o kind_n of_o measure_n again_o for_o a_o yard_n in_o length_n if_o 3_o foot_n make_v one_o yard_n then_o what_o shall_v 30_o make_v it_o make_v 10_o or_o the_o contrary_a if_o 10_o yard_n make_v 30_o foot_n what_o shall_v 12_o make_v the_o extent_n from_o 10_o to_o 12_o will_v reach_v from_o 30_o to_o 36_o foot_n but_o if_o it_o be_v give_v in_o foot_n inch_n then_o say_v as_o 9_o to_o the_o breadth_n so_o be_v the_o length_n in_o foot_n and_o inch_n or_o decimal_a part_n to_o the_o content_a in_o yard_n require_v chap._n iu._n the_o use_n of_o the_o line_n of_o number_n in_o measure_v of_o land_n by_o perch_n and_o acre_n prob._n 1._o have_v the_o breadth_n and_o length_n of_o a_o oblong_a superficies_n give_v in_o perch_n to_o find_v the_o content_n in_o perch_n as_o 1_o perch_n to_o the_o breadth_n in_o perch_n so_o the_o length_n in_o perch_n to_o the_o content_a in_o perch_n example_n as_o 1_o be_v to_o 30_o so_o be_v 183_o to_o 5490_o perch_n prob._n 2._o have_v the_o length_n and_o breadth_n in_o perch_n to_o find_v the_o content_n in_o square_a acre_n as_o 160_o to_o the_o breadth_n in_o perch_n so_o be_v the_o length_n in_o perch_n to_o the_o content_a in_o acre_n as_o 160_o unto_o 30_o so_o be_v 183_o to_o 34_o 31_o in_o acre_n and_o perch_n prob._n 3._o have_v the_o length_n and_o breadth_n of_o a_o oblong_a superficies_n give_v in_o chain_n to_o find_v the_o content_a in_o acre_n it_o be_v troublesome_a to_o divide_v the_o content_a in_o perch_n by_o 160_o we_o may_v measure_v the_o length_n and_o breadth_n by_o chain_n each_o chain_n bein_z 4_o perch_n in_o length_n and_o divide_v into_o 100_o link_n then_o will_v the_o work_n be_v more_o easy_a in_o arithmetic_n or_o by_o the_o rule_n for_o as_o 10_o to_o the_o breadth_n in_o chain_n so_o the_o length_n in_o chain_n to_o the_o content_a in_o acre_n example_n as_o 10_o to_o 7.50_o so_o be_v 45.75_o to_o 34.31_o 100_o part_n of_o a_o acre_n prob._n 4._o have_v the_o base_a and_o perpendicular_a of_o a_o triangle_n give_v in_o perch_n to_o find_v the_o content_a in_o acre_n if_o the_o perpendicular_a go_v for_o the_o length_n and_o the_o whole_a base_a for_o the_o breadth_n than_o you_o must_v take_v half_a of_o the_o oblong_a for_o the_o content_a of_o the_o triangle_n by_o the_o second_o problem_n as_o 160_o to_o 30_o so_o be_v 183_o to_o 34.31_o or_o else_o without_o half_v say_v as_o 320_o to_o the_o perpendicular_a so_o be_v the_o base_a to_o the_o content_a in_o acre_n as_o 320_o unto_o 30_o so_o be_v 183_o to_o 17_o 15._o prob._n 5._o have_v the_o perpendicular_a and_o base_a give_v in_o chain_n to_o find_v the_o content_n in_o acre_n as_o 20_o to_o the_o perpendicular_a so_o be_v the_o base_a to_o the_o content_a in_o acre_n as_o 20_o to_o 7_o 50_o so_o be_v 45_o 75_o to_o 17_o 15_o part_n prob._n 6._o have_v the_o consent_n of_o a_o superficies_n after_o one_o kind_n of_o perch_n to_o find_v the_o content_n of_o the_o same_o superficies_n according_a to_o another_o kind_n of_o perch_n as_o the_o length_n of_o the_o second_o perch_n be_v to_o the_o first_o so_o be_v the_o content_a in_o acre_n to_o a_o four_o number_n and_o that_o 4_o number_n to_o the_o content_a in_o acre_n require_v suppose_v a_o superficies_n be_v measure_v with_o a_o chain_n of_o 66_o foot_n or_o with_o a_o perch_n of_o 16_o 1_o 2_o and_o it_o contain_v 34._o 31_o and_o it_o be_v demand_v how_o many_o acre_n it_o will_v contain_v if_o it_o be_v measure_v with_o

tun_n and_o the_o like_a as_o in_o the_o 3_o proposition_n of_o the_o 5_o chapter_n you_o can_v work_v this_o without_o compass_n and_o thus_o it_o be_v do_v take_v the_o distance_n from_o the_o top_n 12_o to_o td_n then_o set_v one_o point_n in_o one_o foot_n on_o the_o right_n then_o slide_v the_o rule_n till_o the_o other_o point_n shall_v reach_v to_o the_o inch_n deep_a or_o long_o reckon_v as_o before_o in_o round_a measure_n viz._n 1_o inch_n for_o 10_o inch_n 2_o for_o 20_o etc._n etc._n on_o the_o left_a then_o count_v 2_o foot_n on_o the_o right_n for_o 24_o foot_n etc._n etc._n right_a against_o it_o on_o the_o left_a you_o shall_v have_v the_o content_a in_o foot_n but_o this_o be_v much_o easy_o wrought_v thus_o set_a 3_o foot_n on_o the_o right_a side_n the_o gage_n point_n for_o a_o barrel_n to_o 36_o the_o depth_n in_o inch_n of_o a_o tun_n on_o the_o left_a then_o right_o against_o 11_o for_o 6_o inch_n the_o half_a of_o 23_o foot_n be_v 53_o in_o barrel_n ¼_n the_o four_o part_n of_o 213_o the_o content_a according_a to_o 282_o inch_n in_o a_o gallon_n note_v i_o count_v 3_o foot_n on_o the_o left_a side_n for_o 30_o inch_n etc._n etc._n example_n a_o brewer_n tun_n near_o 23_o foot_n diameter_n and_o 3_o foot_n deep_a will_v hold_v 1230_o foot_n viz._n 205_o barrel_n seek_v thus_o much_o for_o the_o use_n of_o the_o line_n of_o number_n for_o timber-measure_n note_v that_o in_o the_o way_n of_o measure_v brewer_n tun_n every_o 6_o foot_n be_v a_o beer-barrel_n one_o foot_n 6_o gallon_n 2_o inch_n 1_o gallon_n 144_o square_a inch_n or_o 1_o inch_n a_o pottle_n 72_o square_a inch_n a_o quart_n 36_o a_o pint_n etc._n etc._n note_v that_o in_o large_a taper_n timber_n whether_o square_a or_o round_o when_o it_o be_v measure_v by_o the_o usual_a way_n that_o be_v by_o the_o middle_a square_n or_o gird_v or_o the_o 2_o square_n or_o girt_n put_v together_o and_o the_o half_a count_v for_o the_o equal_a square_n or_o gird_v i_o say_v a_o square_a of_o half_a the_o difference_n of_o the_o square_n or_o girt_n and_o one_o three_o part_n of_o the_o length_n be_v to_o be_v add_v to_o the_o former_a measure_n as_o be_v prove_v in_o the_o circle_n of_o proportion_n pag._n 50._o as_o thus_o for_o example_n suppose_v a_o taper-piece_n be_v at_o one_o end_n 16_o inch_n square_a at_o the_o other_o 30_o inch_n square_a and_o 30_o foot_n long_o the_o square_a in_o the_o middle_n be_v like_a to_o be_v 23_o inch_n the_o content_a than_o be_v 110_o foot_n now_o half_a the_o difference_n of_o the_o two_o end_n square_a be_v 7_o inch_n and_o one_o three_o part_n of_o the_o length_n be_v 10_o foot_n a_o piece_n 7_o inch_n square_a and_o 10_o foot_n long_o be_v 3_o foot_n 5_o inch_n which_o add_v be_v 113_o foot_n 5_o inch_n the_o true_a content_n of_o that_o taper_n piece_n abovesaid_a the_o general_a way_n of_o gage_v by_o this_o rule_n be_v thus_o set_v the_o w._n or_o the_o a._n for_o wine_n or_o ale-measure_n always_o to_o the_o length_n of_o the_o vessel_n find_v out_o on_o the_o left_a then_o right_a against_o the_o mean_a diameter_n find_v out_o on_o the_o right_a side_n on_o the_o left_a be_v the_o answer_n require_v example_n at_o 30_o inch_n diameter_n and_o 36_o long_a you_o shall_v find_v about_o 90_o gallon_n ½_n ale-measure_n the_o gage-point_n for_o a_o beer_n barrel_n be_v near_o 3_o foot_n and_o the_o ale-barrel_n near_o 34_o inch_n which_o use_v thus_o set_v 3_o to_o the_o depth_n of_o the_o tun_n then_o right_o against_o the_o meridian_n be_v the_o content_a in_o barrel_n example_n set_a 3_o to_o 36_o inch_n and_o then_o right_a against_o 5_o foot_n diana_n be_v 10_o barrel_n of_o beer-measure_n a_o very_a good_a and_o speedy_a way_n finis_fw-la the_o table_n chap._n i._n the_o description_n of_o the_o plain_a carpenters-rule_n page_n 1_o chap._n ii_o to_o two_o number_n give_v to_o find_v a_o three_o four_o five_o and_o six_o etc._n etc._n geometrical_o proportional_a prob._n 1._o p._n 25_o chap._n iii_o the_o use_n of_o the_o line_n of_o number_n in_o superficial_a or_o board-measure_n and_o the_o convenience_n of_o decimal-measure_n pag._n 51_o chap._n iu_o the_o use_n of_o the_o line_n of_o number_n in_o measure_v of_o land_n by_o perch_n and_o acre_n pag._n 64_o chap._n v._o the_o use_n of_o the_o line_n of_o number_n in_o measure_v of_o solid_a measure_n such_o as_o timber_n stone_n or_o such_o like_a solid_a body_n pag._n 76_o chap._n vi_o the_o use_n of_o the_o line_n of_o number_n in_o measure_v of_o cylinder_n as_o round_a timber_n pillar_n and_o ship_n mast_n be_v pag._n 84_o chap._n vii_o the_o use_n of_o the_o line_n of_o number_n in_o gage_v of_o vessel_n pag._n 94_o chap._n viii_o the_o use_n of_o the_o line_n in_o question_n that_o concern_v military_a order_n pag._n 137_o chap._n ix_o the_o use_n of_o the_o line_n in_o question_n of_o interest_n and_o annuity_n pag._n 142_o chap._n x._o the_o application_n of_o the_o line_n to_o domestic_a affair_n pag._n 148_o chap._n xi_o to_o measure_v any_o superficies_n or_o solid_a by_o multiplication_n only_o either_o by_o foot-measure_n or_o inch_n only_o pag._n 163_o chap._n i._o the_o use_n of_o the_o line_n of_o number_n on_o a_o sliding-rule_a for_o the_o measure_n of_o superficial_a or_o solid_a measure_n pag._n 211_o chap._n ii_o to_o measure_n board_n or_o glass_n by_o the_o sliding-rule_a the_o length_n and_o breadth_n be_v give_v pag._n 218_o chap._n iii_o to_o measure_n timber_n by_o the_o slide_v rule_n pag._n 222_o chap._n iu_o the_o description_n of_o the_o line_n of_o number_n on_o a_o sliding-rule_a to_o measure_v solid_a measure_n only_o according_a to_o mr._n white_n be_v first_o contrivance_n but_o much_o augment_v by_o j.b._n p._n 228_o chap._n v._o for_o round_a timber_n pag._n 237_o chap._n vi_o to_o measure_n timber_n have_v the_o diameter_n &_o length_n give_v p._n 242_o