Selected quad for the lemma: land_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
land_n	acre_n	contain_v	perch_n	1,512	5	14.4869	5	false

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

contain_v when_o you_o have_v not_o a_o yard_n thus_o divide_v by_o you_o but_o only_o your_o two-foot_n rule_n for_o the_o supply_n whereof_o i_o will_v add_v this_o follow_a problem_n problem_n the_o length_n and_o breadth_n of_o any_o superficies_n be_v give_v in_o foot_n in_o find_v the_o content_a thereof_o in_o yard_n let_v the_o breadth_n of_o a_o piece_n of_o any_o work_n to_o be_v pay_v for_o by_o the_o yard_n be_v 4_o foot_n and_o the_o length_n thereof_o 12_o foot_n how_o many_o square_a yard_n be_v contain_v therein_o the_o analogy_n or_o proportion_n be_v as_o 9_o be_v to_z 4_o the_o breadth_n in_o foot_n so_o be_v 12_o the_o length_n to_o 5_o 36_o 100_o the_o content_a in_o yard_n extend_v the_o compass_n from_o 9_o to_o 4_o the_o same_o extent_n will_v reach_v the_o same_o way_n from_o 12_o to_o 5.35_o that_o be_v to_z 5_o yard_n and_o 35_o hundred_o part_n of_o a_o yard_n which_o be_v 35_o yard_n one_o quarter_n and_o almost_o half_a a_o quarter_n of_o a_o yard_n chap._n xii_o of_o land-measure_a by_o the_o line_n the_o usual_a measure_n for_o land_n be_v chain_n of_o which_o there_o be_v divers_a sort_n but_o the_o denomination_n of_o the_o quantity_n of_o land_n be_v give_v in_o in_o acre_n and_o perch_n the_o chain_n now_o most_o in_o use_n be_v principal_o two_o one_o contain_v 1_o perch_n in_o length_n the_o other_o 4_o perch_n in_o length_n each_o of_o they_o divide_v into_o 100_o link_n for_o the_o practice_n of_o they_o take_v these_o example_n i._o by_o the_o 1_o pole_n chain_n example_n 1._o there_o be_v a_o plat_n of_o ground_n 30_o perch_n broad_a and_o 183_o perch_n long_o how_o many_o perch_n do_v it_o contain_v as_o 1_o to_o 30_o the_o breadth_n so_o 183_o the_o length_n to_o 5490_o the_o content_a extend_v the_o compass_n from_o 1_o to_o 30_o that_o shall_v reach_v from_o 183_o to_o 5490_o the_o content_a example_n 2._o but_o the_o length_n and_o breadth_n of_o the_o same_o piece_n of_o ground_n be_v give_v as_o before_o in_o perch_n if_o it_o be_v require_v to_o find_v the_o content_n in_o acre_n then_o as_o 160_o to_o 30_o the_o breadth_n so_o 183_o to_o 34_o acre_n 31_o 100_o part_n of_o a_o acre_n extend_v the_o compass_n from_o 160_o to_o 30_o the_o same_o shall_v reach_v be_v extend_v the_o same_o way_n from_o 183_o to_o 34.31_o that_o be_v 34_o acre_n 31_o hundred_o part_n of_o a_o acre_n which_o be_v something_o above_o a_o rood_n ii_o by_o the_o four_o pole_n chain_n example_n 1._o a_o piece_n of_o land_n contain_v 16_o chain_n 25_o link_n in_o breadth_n and_o 57_o chain_n 30_o link_n in_o length_n how_o many_o acre_n do_v it_o contain_v the_o analogy_n be_v as_o 10_o to_o 16.25_o the_o breadth_n in_o chain_n and_o link_n so_o be_v 57.30_o the_o length_n in_o chain_n and_o link_n to_o 93_o acre_n 925_o 10060_o part_n of_o a_o acre_n extend_v the_o compass_n from_o 10_o to_o 16.25_o the_o same_o extent_n will_v reach_v from_o 57.30_o to_o 93.0925_o example_n 2._o the_o base_a and_o perpendicular_a of_o a_o triangle_n be_v give_v in_o chain_n and_o link_n to_o find_v the_o content_a in_o acre_n this_o be_v a_o right_n useful_a and_o necessary_a proposition_n for_o by_o it_o all_o manner_n of_o irregular_a plait_n of_o land_n be_v cast_v up_o but_o my_o intent_n here_o be_v not_o to_o teach_v survey_v but_o to_o show_v the_o use_n of_o the_o line_n of_o proportion_n wherefore_o let_v the_o perpendicular_a of_o the_o triangle_n be_v 7_o chain_n 50_o link_n and_o the_o base_a 45_o chain_n 75_o link_n the_o proportion_n will_v be_v as_o 20_o to_o 7.50_o the_o perpendicular_a so_o be_v 45.75_o the_o base_a to_o 17.15_o the_o content_a extend_v the_o compass_n from_o 20_o to_o 7.50_o that_o extent_n shall_v reach_v from_o 45.75_o to_o 17.15_o which_o be_v 17._o acre_n and_o 15_o 100_o part_n example_n 3._o have_v the_o length_n of_o any_o furlong_n give_v to_o find_v what_o breadth_n it_o must_v have_v to_o make_v a_o acre_n let_v the_o length_n of_o the_o furlong_n be_v 12_o chain_n 50_o link_n then_o to_o find_v the_o breadth_n for_o one_o acre_n this_o be_v the_o analogy_n as_o 15.20_o the_o length_n in_o chain_n be_v unto_o 10_o so_o be_v 1_o acre_n to_o 80_o link_n which_o must_v be_v the_o breadth_n of_o the_o furlong_n wherefore_o extend_v the_o compass_n from_o 10_o to_o 12.50_o the_o same_o will_v reach_v from_o 1_o acre_n to_o 80_o link_n the_o breadth_n of_o the_o furlong_n chap._n xiii_o of_o the_o mensuration_n of_o divers_a regular_a superficial-figures_a by_o the_o line_n have_v sufficient_o show_v the_o manner_n of_o measure_v of_o such_o superficial-figure_n as_o be_v measure_v by_o length_n and_o breadth_n i_o will_v now_o show_v you_o how_o by_o the_o line_n to_o measure_v some_o other_o regular_a figure_n as_o ahe_fw-la circle_n etc._n etc._n i._o of_o the_o circle_n example_n 1._o the_o length_n of_o the_o diameter_n of_o any_o circle_n be_v give_v to_o find_v the_o circumference_n thereof_o the_o proportion_n between_o the_o diameter_n and_o the_o circumference_n of_o any_o circle_n be_v as_o 7_o to_o 22_o or_o in_o exacter_n term_n as_o 1000_o to_o 3140._o wherefore_o if_o the_o diameter_n of_o a_o circle_n give_v be_v 23_o inch_n the_o circumference_n therefore_o may_v be_v find_v by_o this_o follow_a analogy_n as_o 1.000_o be_v to_o 3.140_o so_o be_v 12_o the_o diameter_n to_o 37.68_o the_o circumference_n wherefore_o extend_v the_o compass_n from_o 1.000_o to_o 3.140_o the_o same_o extent_n shall_v reach_v from_o 12_o to_o 37_o inch_n 68_o part_n which_o be_v the_o circumference_n example_n 2._o the_o circumference_n of_o any_o circle_n be_v give_v to_o find_v the_o length_n of_o the_o diameter_n this_o be_v the_o converse_n of_o the_o former_a example_n and_o the_o analogy_n be_v the_o converse_n also_o let_v the_o circumference_n of_o a_o circle_n be_v 37_o inch_n 68_o part_n what_o be_v the_o length_n of_o the_o diameter_n as_o 3.140_o to_o 1.000_o so_o be_v 37_o inch_n 68_o part_n the_o circumference_n to_o 12_o inch_n the_o diameter_n extend_v the_o compass_n from_o 3.140_o to_o 1.000_o the_o same_o extent_n will_v reach_v from_o 37.68_o to_o 12_o the_o diameter_n require_v example_n 3._o have_v the_o diameter_n of_o a_o circle_n to_o find_v the_o length_n of_o the_o side_n of_o a_o square_a which_o shall_v be_v equal_a in_o content_a to_o the_o same_o circle_n if_o the_o diameter_n of_o a_o circle_n be_v 12_o inch_n the_o proportion_n be_v as_o 1.0000_o be_v to_o 12_o inch_n the_o diameter_n so_o be_v 8862_o to_o 10.63_o the_o side_n of_o the_o square_n extend_v the_o compass_n from_o 10000_o to_o 12_o the_o same_o extent_n will_v reach_v from_o 8862_o to_o 10_o inch_n 63_o hundred_o part_n the_o side_n of_o a_o square_n equal_a in_o area_n to_o the_o circle_n who_o diameter_n be_v 12_o inch_n eample_n 4._o have_v the_o circumference_n of_o a_o circle_n give_v to_o find_v the_o side_n of_o a_o square_n equal_a to_o that_o circle_n let_v the_o circumference_n of_o the_o give_v circle_n be_v 37_o inch_n 68_o part_n the_o proportion_n be_v as_o 10000_o to_o 37.68_o the_o circumference_n so_o be_v 2832_o to_o 10.63_o the_o side_n of_o the_o square_n extend_v the_o compass_n from_o 10000_o to_o 37.68_o the_o same_o will_v reach_v from_o 2821_o to_o 10_o inch_n 63_o part_n the_o side_n of_o the_o square_n require_v example_n 5._o the_o diameter_n of_o a_o circle_n be_v give_v to_o find_v the_o superficial_a content_n thereof_o let_v the_o diameter_n of_o a_o circle_n be_v 15_o inch_n extend_v the_o compass_n from_o 1_o to_o 15_o the_o diameter_n then_o apply_v one_o foot_n of_o that_o distance_n always_o to_o 7854_o then_o turn_v that_o distance_n twice_o from_o this_o number_n the_o same_o way_n and_o the_o compass_n point_n will_v fall_v upon_o 176_o inch_n 74_o part_n which_o be_v the_o area_n of_o that_o circle_n who_o diameter_n be_v 15_o inch_n example_n 6._o the_o circumference_n of_o a_o circle_n be_v give_v to_o find_v the_o area_n thereof_o let_v the_o circumference_n of_o a_o circle_n give_v be_v 47_o inch_n 13_o part_n exetnd_v the_o compass_n from_o 1_o to_o 47.13_o the_o circumference_n this_o distance_n be_v apply_v always_o to_o this_o number_n 7958_o and_o from_o thence_o twice_o repeat_v the_o point_n of_o the_o compass_n at_o the_o second_o remove_n will_v fall_v upon_o 176_o inch_n 74_o part_n equal_a to_o the_o area_n of_o the_o circle_n as_o before_o note_n here_o note_n that_o your_o compass_n be_v open_v from_o 1_o to_o 47.13_o the_o circumference_n when_o you_o come_v to_o set_v one_o foot_n upon_o 7958_o the_o other_o will_v reach_v at_o your_o first_o turn_v over_o to_o 37.8_o and_o when_o you_o turn_v they_o over_o again_o

as_o before_z example_n 2._o let_v it_o be_v require_v to_o divide_v 288_o by_o 32._o the_o proportion_n be_v as_o 32_o ∶_o to_o 1_o ∷_o so_o 288_o ∶_o to_o 9_o extend_v t●e_v compass_n downward_o from_o 32_o to_o 1_o that_o same_o extent_n will_v reach_v downward_o from_o 288_o to_o 9_o which_o be_v the_o quotient_a or_o extend_v the_o compass_n upward_o from_o 32_o to_o 288_o the_o same_o extent_n will_v reach_v upward_o from_o 1_o to_o 9_o as_o before_o example_n 3._o let_v it_o be_v require_v to_o divide_v 56.44_o by_o 8.75_o the_o proportion_n be_v as_o 8.75_o ∶_o to_o 1_o ∷_o so_o 56.44_o ∶_o to_o 6.45_o extend_v the_o compass_n downward_o from_o 8.75_o to_o 1_o the_o same_o extent_n will_v reach_v downward_o from_o 56.44_o to_o 6.45_o or_o extend_v they_o upward_o from_o 8.75_o to_o 56.44_o the_o same_o will_v reach_v upward_o from_o 1_o to_o 6.45_o as_o before_o note_v this_o in_o division_n that_o so_o many_o time_n as_o the_o divisor_n may_v be_v orderly_o set_v under_o the_o dividend_n in_o arithmetical_a work_n so_o many_o place_n of_o figure_n shall_v be_v in_o the_o quotient_a of_o your_o division_n as_o if_o 34785_o be_v to_o be_v divide_v by_o 75_o the_o quotient_n shall_v consist_v of_o three_o figure_n only_o namely_o of_o 463_o because_o 75_o can_v be_v but_o three_o time_n set_v orderly_o under_o 34785_o in_o arithmetical_a operation_n chap._n iu._n the_o golden-rule_a direct_v by_o the_o line_n this_o rule_n may_v well_o be_v term_v the_o golden-rule_n it_o be_v the_o most_o useful_a of_o all_o other_o for_o have_v three_o number_n give_v you_o may_v by_o it_o find_v a_o four_o in_o proportion_n to_o they_o as_o by_o divers_a example_n follow_v shall_v be_v make_v plain_a and_o this_o rule_n be_v perform_v upon_o the_o line_n with_o the_o like_a ease_n and_o exactness_n as_o any_o of_o those_o before_o mention_v and_o for_o the_o work_n of_o it_o upon_o the_o line_n this_o be_v the_o general_a analogy_n or_o proportion_n as_o the_o first_o number_n give_v be_v to_o the_o second_o number_n give_v so_o be_v the_o three_o number_n give_v to_o the_o four_o number_n require_v or_o as_o the_o first_o number_n give_v be_v to_o the_o three_o number_n give_v so_o be_v the_o second_o number_n give_v to_o the_o four_o number_n seek_v wherefore_o always_o extend_v the_o compass_n from_o the_o first_o number_n to_o the_o second_o and_o that_o distance_n or_o extent_n apply_v the_o same_o way_n upon_o the_o line_n shall_v reach_v from_o the_o three_o to_o the_o four_o number_n require_v or_o otherwise_o extend_v the_o compass_n from_o the_o first_o number_n to_o the_o three_o and_o that_o extent_n apply_v the_o same_o way_n shall_v also_o reach_v from_o the_o second_o to_o the_o four_o either_o of_o these_o way_n will_v effect_v the_o same_o thing_n as_o by_o example_n follow_v shall_v be_v make_v appear_v and_o it_o be_v necessary_a thus_o to_o vary_v the_o proportion_n sometime_o to_o avoid_v the_o open_n of_o the_o compass_n too_o wide_o for_o when_o the_o compass_n be_v open_v to_o a_o very_a large_a extent_n you_o can_v neither_o take_v off_o any_o distance_n exact_o nor_o give_v so_o a_o good_a estimate_n of_o any_o part_n require_v as_o you_o may_v do_v when_o they_o be_v open_v to_o a_o lesser_a distance_n but_o this_o you_o will_v find_v out_o best_o by_o practice_n and_o therefore_o i_o will_v now_o proceed_v to_o example_n example_n 1._o if_o 45_o yard_n of_o cloth_n cost_v 30_o pound_n what_o will_v 84_o yard_n cost_v at_o the_o same_o rate_n as_o 45_o ∶_o to_o 38_o ∷_o so_o 84_o ∶_o to_o 56._o extend_v the_o compass_n downward_o from_o 45_o to_o 30_o that_o extent_n will_v reach_v downward_o from_o 84_o to_o 56_o l._n the_o price_n of_o 84_o yard_n or_o extend_v the_o compass_n upward_o from_o 45_o to_o 84_o the_o same_o will_v reach_v from_o 30_o to_o 56_o as_o before_o example_n 2._o if_o 26_o acre_n of_o land_n be_v worth_a 64_o l._n a_o year_n what_o be_v 36_o acre_n of_o the_o like_a land_n worth_n by_o the_o year_n as_o 26_o ∶_o to_o 64_o ∷_o so_o 36_o ∶_o to_o 88.615_o extend_v the_o compass_n from_o 26_o to_o 64_o the_o same_o extent_n will_v reach_v from_o 36_o to_o 88_o 615_o 1000_o part_n which_o be_v about_o 12_o s._n 3_o d._n 2_o q._n and_o so_o much_o be_v 36_o acre_n of_o the_o like_a land_n worth_n by_o the_o year_n example_n 3._o if_o 100_o l._n yield_v 6_o l._n interest_n for_o one_o year_n or_o 12_o month_n what_o shall_v 75_o l._n yield_v as_o 100_o ∶_o to_o 6_o ∷_o 75_o ∶_o to_o 4.50_o extend_v the_o compass_n from_o 100_o to_o 6_o the_o same_o extent_n will_v reach_v from_o 75._o to_o 4.50_o or_o 4_o ½_n which_o be_v 4_o l._n 10_o s_o and_o so_o much_o will_v 75_o l._n yield_v interest_n in_o the_o year_n example_n 4._o if_o 75_o l._n yield_v 4_o l._n 10_o s._n interest_n for_o one_o year_n or_o 12_o month_n what_o will_v 100_o l._n yield_v as_o 75_o ∶_o to_o 4.50_o ∷_o so_o 160_o ∶_o to_o 67._o extend_v the_o compass_n downward_o from_o 75_o to_o 4.50_o the_o same_o extent_n will_v reach_v from_o 100_o to_o 6_o and_o such_o interest_n will_v 100_o l._n yield_v many_o other_o question_n may_v be_v add_v but_o the_o rule_n and_o manner_n of_o work_v it_o be_v so_o plain_a that_o it_o need_v they_o not_o and_o so_o general_a that_o he_o which_o can_v resolve_v one_o may_v as_o well_o resolve_v any_o other_o and_o therefore_o i_o shall_v say_v no_o more_o of_o it_o in_o this_o place_n chap._n v._o the_o golden-rule_a reverse_n by_o the_o line_n in_o this_o reverse_n or_o backward_a rule_n of_o three_o this_o note_n be_v special_o to_o be_v observe_v that_o if_o the_o three_o number_n be_v great_a than_o the_o first_o then_o will_v the_o four_o number_n be_v less_o than_o the_o second_o and_o on_o the_o contrary_a if_o the_o three_o number_n be_v less_o than_o the_o first_o than_o the_o four_o number_n will_v be_v great_a than_o the_o second_o as_o by_o example_n will_v appear_v example_n 1_o if_o 12_o workman_n do_v any_o piece_n of_o work_n in_o 8_o day_n how_o many_o workman_n shall_v do_v the_o same_o piece_n of_o work_n in_o 2_o day_n it_o be_v here_o to_o be_v note_v that_o in_o this_o question_n 12_o be_v not_o the_o first_o number_n though_o it_o be_v first_o name_v but_o 2_o for_o the_o middlemost_a term_n of_o the_o three_o must_v be_v of_o the_o same_o kind_n with_o the_o four_o number_n which_o be_v to_o be_v seek_v as_o in_o this_o example_n it_o be_v man_n therefore_o 12_o which_o be_v man_n must_v stand_v in_o the_o middle_n or_o second_o place_n because_o the_o four_o number_n which_o be_v to_o be_v seek_v be_v also_o man_n and_o therefore_o the_o number_n will_v stand_v thus_o day_n man_n day_n 2_o 12_o 8._o for_o if_o 8_o day_n require_v 12_o man_n than_o 2_o day_n which_o be_v but_o a_o four_o part_n of_o 8_o day_n shall_v require_v four_o time_n 12_o man_n that_o be_v 48_o man_n for_o here_o less_o require_v more_o that_o be_v less_o time_n more_o hand_n and_o hence_o the_o work_n be_v contrary_a to_o the_o direct_a rule_n wherefore_o to_o effect_v it_o extend_v the_o compass_n from_o 2_o to_o 8_o the_o same_o extent_n will_v reach_v from_o 12_o the_o contrary_a way_n on_o the_o line_n to_o 48_o which_o be_v the_o number_n of_o man_n that_o will_v effect_v the_o same_o piece_n of_o work_n in_o two_o day_n example_n 2._o if_o one_o close_o will_v graze_v 21_o horse_n for_o 6_o week_n how_o many_o horse_n will_v the_o same_o close_o graze_v for_o 7_o week_n extend_v the_o compass_n from_o 6_o to_o 7_o for_o you_o must_v always_o extend_v your_o compass_n to_o number_n of_o one_o kind_n or_o denomination_n as_o here_o 6_o and_o 7_o be_v both_o horse_n the_o same_o extent_n will_v reach_v from_o 21_o backward_a to_o 18_o and_o so_o many_o horse_n will_v the_o same_o close_o graze_v for_o 7_o week_n chap._n vi_o of_o duplicate_v proportion_n by_o the_o line_n duplicate_v proportion_n be_v such_o a_o proportion_n as_o be_v between_o line_n and_o superficies_n or_o between_o superficies_n and_o line_n 1._o of_o the_o proportion_n of_o line_n to_o superficies_n in_o this_o case_n extend_v the_o compass_n from_o the_o first_o to_o the_o second_o number_n of_o the_o same_o denomination_n that_o same_o extent_n be_v double_v shall_v give_v the_o distance_n from_o the_o three_o number_n unto_o the_o four_o example_n 1._o if_o the_o diameter_n of_o a_o circle_n be_v 14_o inch_n and_o the_o area_n or_o content_v thereof_o be_v 154_o inch_n what_o will_v be_v the_o content_a of_o another_o circle_n who_o diameter_n be_v 28_o inch_n extend_v the_o compass_n from_o 14_o to_o