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 foot_n perch_n 1,923 5 14.3073 5 true
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ID Title Author Corrected Date of Publication (TCP Date of Publication) STC Words Pages
A29761 The description and use of the trianguler quadrant being a particular and general instrument, useful at land or sea, both for observation and operation : more universally useful, portable and convenient, than any other yet discovered, with its uses in arithmetick, geometry, superficial and solid, astronomy, dyalling, three wayes, gaging, navigation, in a method not before used / by John Brown, philomath. Brown, John, philomath. 1671 (1671) Wing B5041; ESTC R15524 175,812 507

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part_n 2_o shilling_n and_o 6_o penny_n or_o every_o 10_o part_n 2_o shilling_n because_o 8_o half-crown_n or_o 10_o two_o shilling_n be_v 20_o shilling_n example_n right_o against_o 6_o inch_n and_o a_o half_a for_o 6_o l._n ●0_n s._n on_o this_o other_o line_n i_o find_v ●_o penny_n 3_o farthing_n the_o price_n of_o one_o foot_n at_o 6_o l._n 10_o s._n per_fw-la rod_n and_o at_o 7_o farthing_n per_fw-la foot_n i_o find_v near_o 40_o shilling_n or_o 2_o pound_n per_fw-la rod._n also_o at_o 40_o shilling_n per_fw-la square_n find_v at_o 40_o on_o foot-measure_n be_v 4_o penny_n 3_o farthing_n 1_o ●_o per_fw-la foot_n find_v just_a against_o it_o on_o the_o inch_n chap._n viii_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 problem_n i._o at_o any_o length_n of_o the_o land_n to_o find_v the_o breadth_n of_o the_o acre_n in_o the_o answer_v of_o this_o question_n it_o be_v not_o amiss_o but_o very_o needful_a to_o premise_v how_o many_o square_a inch_n foot_n yard_n perch_n or_o chain_n i_o mean_v a_o chain_n of_o ●6_n ●oot_v long_o be_v contain_v in_o a_o square_a acre_n of_o land_n for_o which_o purpose_n have_v recourse_n to_o the_o table_n annex_v which_o be_v draw_v with_o great_a care_n and_o exactness_n for_o that_o purpose_n by_o which_o table_n you_o may_v perceive_v that_o 6272640_o square_a inch_n be_v contain_v in_o one_o square_a acre_n and_o 100000_o or_o one_o hundred_o thousand_o square_a link_n of_o a_o 4_o pole_n chain_n make_v a_o square_a acre_n and_o 43560_o square_a foot_n make_v a_o square_a acre_n and_o 4840_o square_a yard_n make_v a_o square_a acre_n and_o 1742_o 4_o square_a pace_n make_v a_o square_a acre_n and_o 160_o square_a perch_n make_v a_o square_a acre_n and_o 10_o square_n 4_o pole_n chain_n make_v one_o acre_n as_o in_o the_o table_n you_o may_v see_v and_o 3097_o 1_o ●_o square_n ell_n make_v one_o acre_n of_o land_n statute_n measure_n the_o table_n  _fw-fr inch_n link_n foot_n yard_n pace_n perch_n chain_n acre_n mile_n inch_n 1_o 7.92_o 12_o 36_o 60_o 198_o 792_o 7920_o 63360_o link_n 62.720_o 1_o 1.515_o 4.56_o 7.575_o 25_o 100_o 1000_o 8000_o foot_n 144_o 2.295_o 1_o 3_o 5_o 16.5_o 66_o 660_o 5280_o yard_n 1296_o 20.755_o 9_o 1_o 1.66_o 550_o 22_o 220_o 1760_o pace_n 3600_o 57.381_o 25_o 2.778_o 1_o 3.3_o 13.2_o 132_o 1056_o perch_n 39204_o 625_o 272.25_o 30_o 25_o 10.89_o 1_o 4_o 40_o 320_o chain_n 627264_o 10000_o 4356_o 484_o 174.24_o 16_o 1_o 10_o 80_o acre_n 6272640_o 100000_o 43560_o 4840_o 1742.4_o 160_o 10_o 1_o 8_o mile_n 4014489600_o 64000000_o 27878400_o 3097600_o 1115136_o 102400_o 6400_o 640_o 1_o square_a inch_n link_n foot_n yard_n pace_n perch_n chain_n acre_n mile_n then_o as_o the_o length_n of_o the_o land_n give_v in_o foot_n yard_n pace_n perch_n or_o chain_n be_v to_o the_o number_n of_o square_a foot_n yard_n pace_n perch_n or_o chain_n in_o a_o square_a acre_n so_o be_v 1_o to_o the_o breadth_n of_o the_o land_n in_o that_o measure_n the_o length_n be_v give_v to_o make_v a_o square_a acre_n see_v the_o example_n of_o all_o these_o measure_n in_o their_o order_n viz._n of_o foot_n yard_n pace_n perch_n and_o chain_n suppose_v a_o piece_n of_o land_n be_v 660_o foot_n long_o or_o 220_o yard_n or_o 132_o pace_n or_o 40_o perch_n or_o 10_o chain_n in_o length_n which_o several_a measure_n be_v all_o of_o the_o same_o quantity_n i_o will_v know_v how_o much_o in_o breadth_n i_o must_v have_v to_o make_v a_o square_a acre_n extend_v the_o compass_n from_o the_o length_n give_v viz._n 660_o foot_n or_o 220_o yard_n or_o 132_o pace_n or_o 40_o perch_n or_o 10_o chain_n to_o 43560_o for_o foot_n or_o to_o 4840_o for_o yard_n or_o to_o 1742_o for_o pace_n or_o to_o 160_o for_o perch_n or_o to_o 10_o for_o chain_n to_o the_o number_n in_o the_o table_n for_o that_o measure_n in_o a_o square_a acre_n the_o same_o extent_n apply_v the_o same_o way_n from_o 1_o shall_v reach_v to_o the_o foot_n yard_n pace_n perch_n or_o chain_n require_v note_v the_o work_n 1._o as_o 660_o to_o 43563_o the_o foot_n in_o a_o square_a acre_n so_o be_v 1_o to_o 66_o the_o breadth_n in_o foot_n require_v 2._o as_o 220_o the_o length_n in_o yard_n to_o 4840_o the_o square_a yard_n in_o a_o square_a acre_n so_o be_v 1_o to_o 22_o the_o breadth_n in_o yard_n require_v 3._o as_o 132_o the_o length_n in_o pace_n to_o 1742_o so_o be_v 1_o to_o 13-2_a the_o breadth_n in_o pace_n seek_v 4._o as_o 40_o the_o length_n in_o perch_n to_o 100l_n so_o be_v 1_o to_z 4_o the_o breadth_n in_o perch_n 5._o as_o 10_o the_o length_n in_o chain_n to_o 10_o so_o be_v 1_o to_z 1_o the_o breadth_n in_o chain_n require_v 6._o as_o 176_o the_o length_n in_o else_o to_o 3097_o ⅓_n so_o be_v ●_o to_o 17-6_a the_o breadth_n in_o else_o require_v to_o work_v this_o by_o the_o line_n of_o line_n say_v 1._o as_o the_o 43560_o to_o =_o 660_o so_o be_v =_o 10_o to_o 66_o latteral_o 2_o as_o the_o latteral_a 220_o to_o parallel_v 4840_o so_o be_v latteral_a 1_o to_o parallel_v 22_o single_a double_a or_o fourfold_a 3._o as_o 132_o double_v be_v to_o =_o 1742_o likewise_o double_v because_o it_o fall_v near_o the_o centre_n so_o be_v 1_o quadruple_v viz._n 4_o to_z =_o 13-2_a quadruple_v viz._n 52-4_a 4._o as_o 160_o to_o =_o 40_o so_o be_v =_o 10_o for_o 1_o to_z 4_o perch_n 5._o as_o 10_o to_z =_o 10_o so_o be_v =_o 1_o to_o 1_o the_o breadth_n require_v if_o you_o will_v know_v how_o much_o breadth_n at_o any_o length_n shall_v make_v 2_o 3_o or_o 4_o acre_n then_o say_v as_o the_o length_n give_v to_o the_o quantity_n of_o one_o acre_n in_o that_o measure_n according_a to_o the_o table_n so_o be_v 2_o 3_o 4_o or_o 5_o to_o the_o breadth_n require_v example_n at_o 30_o perch_n in_o length_n the_o extent_n from_o 30_o to_o 160_o shall_v reach_v the_o same_o way_n from_o 4_o to_o 21_o perch_n and_o 34_o of_o 100_o or_o 5_o foot_n 06_o inch_n the_o breadth_n of_o 4_o acre_n at_o 30_o perch_n in_o length_n problem_n ii_o the_o length_n and_o breadth_n give_v in_o perch_n to_o find_v the_o content_a in_o perch_n of_o any_o piece_n of_o land_n the_o extent_n from_o 1_o to_o the_o breadth_n in_o perch_n shall_v reach_v the_o same_o way_n from_o the_o length_n in_o perch_n to_o the_o true_a content_a in_o square_a perch_n example_n as_o 1_o to_o 50_o so_o be_v 179_o to_o 8950_o the_o content_a in_o square_a perch_n problem_n iii_o the_o length_n and_o breadth_n be_v give_v in_o perch_n to_o find_v the_o content_a in_o square_a acre_n the_o extent_n from_o 160_o to_o the_o breadth_n in_o perch_n shall_v ●each_v the_o same_o way_n from_o the_o length_n in_o perch_n to_o the_o content_a in_o square_a acre_n example_n as_o 160_o to_o 50_o so_o be_v 179_o to_o 5-58_a acre_n or_o 5_o a●res_n 2_o rood_n and_o 13_o perch_n problem_n iu._n the_o length_n and_o breadth_n of_o a_o piece_n of_o land_n be_v give_v in_o chain_n to_o find_v the_o content_a in_o acre_n the_o extent_n from_o 1_o to_o the_o breadth_n in_o chain_n and_o 100_o part_n which_o be_v link_n shall_v reach_v the_o same_o way_n from_o the_o length_n in_o chain_n and_o link_n to_o the_o content_a in_o square_a acre_n example_n as_o 1_o to_o 5_o chain_n 52_o link_n the_o breadth_n so_o be_v 8_o chain_n 72_o link_n to_o 48_o acre_n and_o 3960_o square_a link_n problem_n v._o have_v the_o base_a and_o perpendicule_a of_o a_o triangle_n give_v in_o chain_n or_o perch_n to_o find_v the_o content_a in_o acre_n the_o extent_n from_o 2_o if_o you_o use_v chain_n or_o from_o 320_o if_o you_o measure_v by_o perch_n to_o the_o whole_a base_a shall_v reach_v the_o same_o way_n from_o the_o whole_a perpendicule_a to_o the_o whole_a content_a of_o the_o triangle_n or_o if_o it_o be_v a_o trapezia_n join_v both_o the_o perpendiculer_o in_o one_o sum_fw-la example_n as_o 2_o for_o chain_n to_o 3-63_a the_o whole_a perpendicule_a so_o be_v 11-80_a the_o whole_a base_a to_o 21_o acre_n 42_o link_n the_o content_a of_o the_o whole_a triangle_n or_o in_o perch_n as_o 320_o to_o 14-55_a the_o perpendicule_a in_o perch_n so_o be_v 47-20_a the_o length_n or_o base_a line_n in_o perch_n to_o 21_o acre_n 24_o link_n the_o content_a in_o acre_n problem_n vi_o the_o area_n or_o content_a of_o a_o piece_n of_o land_n give_v that_o be_v measure_v by_o statute-perche_n to_o find_v the_o content_a of_o the_o same_o piece_n of_o land_n in_o wood-land_n measure_n or_o customary_a acre_n or_o irish_a acre_n for_o the_o better_a understanding_n of_o this_o problem_n
what_o ibid._n circle_n of_o position_n what_o ibid._n of_o term_n in_o astronomy_n what_o a_o sphere_n be_v page_z 50_o of_o ten_o point_n and_o ten_o circle_n of_o the_o sphere_n page_n 51_o the_o 2_o pole_n of_o the_o world_n or_o equinoctial_a ibid._n the_o 2_o pole_n of_o the_o zodiac_n page_n 52_o the_o 2_o equinoctial-point_n ibid._n the_o 2_o solstitial-point_n page_n 53_o the_o zenith_n and_o nadir_n page_n 54_o the_o horizon_n the_o meridian_n the_o equinoctial_a the_o zodiac_n the_o 2_o colour_n the_o 2_o tropic_n and_o 2_o polar_a circle_n page_n 55_o 56_o 58_o hour_n azimuth_n almicanter_n declination_n latitude_n longitude_n right_a ascention_n page_n 59_o 60_o oblique_a ascension_n difference_n of_o ascension_n amplitude_n circle_n and_o angle_n of_o position_n what_o they_o be_v page_z 61_o 62_o to_o rectify_v the_o triangule_a quadrant_n page_n 63_o to_o observe_v or_o find_v the_o sun_n altitude_n page_n 64_o to_o try_v if_o any_o thing_n be_v level_a or_o upright_o page_n 66_o to_o find_v what_o angle_n the_o sector_n stand_v at_o at_o any_o open_n or_o to_o set_v the_o sector_n to_o any_o angle_n require_v page_n 67_o 68_o the_o day_n of_o the_o month_n give_v to_o find_v the_o sun_n declination_n true_a place_n right_a ascention_n or_o rise_v and_o set_v by_o inspection_n only_o page_n 71_o to_o find_v the_o sun_n amplitude_n and_o difference_n of_o ascension_n and_o oblique_a ascension_n page_n 73_o to_o find_v the_o hour_n of_o the_o day_n page_n 74_o to_o find_v the_o sun_n azimuth_n page_n 75_o the_o use_n of_o the_o line_n of_o number_n and_o the_o use_n of_o the_o line_n of_o line_n both_o on_o the_o triangule_a quadrant_n and_o sector_n one_o after_o another_o in_o most_o example_n to_o multiply_v one_o number_n by_o another_o page_z 78_o a_o help_n to_o multiply_v true_o page_n 85_o a_o crabbed_a question_n of_o multiplication_n page_n 90_o precept_n of_o reduction_n page_n 94_o to_o divide_v one_o number_n by_o another_o page_z 95_o a_o caution_n in_o division_n page_n 97_o to_o 2_o line_n or_o number_n give_v to_o find_v a_o 3d_o in_o geometrical_a proportion_n page_n 98_o any_o one_o side_n of_o a_o figure_n be_v give_v to_o find_v all_o the_o rest_n or_o to_o find_v a_o proportion_n between_o two_o or_o more_o line_n or_o number_n page_n 99_o to_o lay_v down_o any_o number_n of_o part_n on_o a_o line_n to_o any_o radius_fw-la page_n 100_o to_o divide_v a_o line_n into_o any_o number_n of_o part_n page_z 102_o to_o find_v a_o geometrical_a mean_a proportion_n between_o two_o line_n or_o number_n three_o way_n page_n 104_o to_o make_v a_o square_a equal_a to_o a_o oblong_a page_n 107_o or_o to_o a_o triangle_n ibid._n to_o find_v a_o proportion_n between_o unlike_a superficies_n page_n 108_o to_o make_v one_o superficies_n like_o another_o superficies_n and_o equal_a to_o a_o three_o page_z 109_o the_o diameter_n and_o content_a of_o a_o circle_n be_v give_v to_o find_v the_o content_a of_o another_o circle_n by_o have_v his_o diameter_n page_n 111_o to_o find_v the_o square-root_n of_o a_o number_n ibid._n to_o find_v the_o cube-root_n of_o a_o number_n page_n 113_o to_o find_v two_o mean_v proportional_n between_o two_o line_n or_o number_n give_v page_n 116_o the_o diameter_n and_o content_a of_o a_o globe_n be_v give_v to_o find_v the_o content_a of_o another_o globe_n who_o diameter_n also_o be_v give_v page_n 118_o the_o proportion_n between_o the_o weight_n and_o magnitude_n of_o metal_n page_n 119_o the_o weight_n and_o magnitude_n of_o a_o body_n of_o one_o kind_n of_o metal_n be_v give_v to_o find_v the_o magnitude_n of_o a_o body_n of_o another_o metal_n of_o equal_a weight_n page_n 121_o the_o magnitude_n of_o two_o body_n of_o several_a metal_n have_v the_o weight_n of_o one_o give_v to_o find_v the_o weight_n of_o the_o other_o page_z 122_o the_o weight_n and_o magnitude_n of_o one_o body_n of_o any_o metal_n be_v give_v and_o another_o body_n like_o unto_o the_o former_a be_v to_o be_v make_v of_o any_o other_o metal_n to_o find_v the_o diameter_n or_o magnitude_n of_o it_o page_z 123_o to_o divide_v a_o line_n or_o number_n by_o extreme_a and_o mean_a proportion_n page_n 124_o three_o line_n or_o number_n give_v to_o find_v a_o four_o in_o geometrical_a proportion_n page_n 128_o the_o nature_n &_o reason_n of_o the_o golden_a rule_n page_n 129_o the_o rule_n of_o three_o inverse_v with_o several_a caution_n and_o example_n page_n 132_o the_o double_a and_o compound_v rule_n of_o three_o direct_v and_o reverse_v with_o example_n page_n 139_o the_o rule_n of_o fellowship_n with_o example_n page_n 148_o the_o use_n of_o the_o line_n of_o number_n in_o superficial_a measure_n and_o the_o part_n on_o the_o rule_n page_n 154_o the_o breadth_n give_v in_o foot-measure_n to_o find_v the_o length_n of_o one_o foot_n page_n 156_o the_o breadth_n give_v in_o inch_n to_o find_v how_o much_o in_o length_n make_v one_o foot_n ibid._n the_o breadth_n give_v to_o find_v how_o much_o be_v in_o a_o foot-long_a page_n 157_o have_v the_o length_n and_o breadth_n give_v in_o foot-measure_n to_o find_v the_o content_a in_o foot_n ibid._n have_v the_o breadth_n give_v in_o inch_n and_o length_n in_o foot_n to_o find_v the_o content_a in_o foot_n page_n 158_o have_v the_o length_n &_o breadth_n give_v in_o inches_n to_o find_v the_o content_n in_o superficial_a inch_n page_n 160_o have_v the_o length_n &_o breadth_n give_v in_o inches_n to_o find_v the_o content_a in_o foot_n superficial_a page_n 161_o the_o length_n and_o breadth_n of_o a_o oblong_o give_v to_o find_v the_o side_n of_o a_o square_n equal_a to_o it_o page_z 163_o the_o diameter_n of_o a_o circle_n give_v to_o find_v the_o circumference_n square_a equal_a square_n inscribe_v and_o content_a page_n 164_o the_o content_a of_o a_o circle_n give_v to_o find_v the_o diameter_n or_o circumference_n page_n 166_o 167_o certain_a rule_n to_o measure_v several_a figure_n page_n 108_o a_o segment_n of_o a_o circle_n give_v to_o find_v the_o true_a diameter_n and_o area_n thereof_o page_n 169_o a_o table_n to_o divide_v the_o line_n of_o segment_n page_n 170_o the_o use_n of_o it_o in_o part_n page_z 171_o the_o measure_n of_o triangle_n tapeziaes_n romboide_n poligon_n and_o oval_n page_n 172_o 173_o a_o table_n of_o the_o proportion_n between_o the_o side_n and_o area_n of_o regular_a poligon_n and_o the_o use_n thereof_o for_o any_o other_o page_z 174_o 175_o to_o make_v a_o oval_a equal_a to_o a_o circle_n and_o the_o contrary_a two_o way_n page_n 175_o 176_o the_o length_n and_o breadth_n of_o any_o oblong_a superficies_n give_v in_o foot_n to_o find_v the_o content_a in_o yard_n page_n 177_o the_o length_n and_o breadth_n give_v in_o foot_n and_o part_n to_o find_v the_o content_a in_o rod_n page_z 179_o the_o near_a way_n to_o measure_v a_o party_n wall_n page_z 180_o to_o multiply_v and_o reduce_v any_o length_n breadth_n or_o thickness_n of_o a_o wall_n to_o one_o brick_n and_o a_o half_a at_o one_o operation_n page_n 183_o example_n at_o six_o several_a thickness_n page_n 184_o to_o find_v the_o gage-point_n for_o this_o reduce_n page_n 185_o at_o one_o open_v of_o the_o compass_n to_o find_v how_o many_o rod_n quarter_n and_o foot_n in_o any_o sum_n under_o 10_o rod_n page_n 186_o the_o usual_a and_o ready_a equal_a way_n to_o measure_v tile_v and_o chimney_n page_n 187_o of_o plaisterers-work_n or_o painters-work_n page_n 188_o of_o particular_n of_o work_n usual_o mention_v in_o a_o carpenters-bill_n with_o caution_n page_n 189_o 190_o at_o any_o breadth_n of_o a_o house_n to_o find_v the_o rafter_n and_o hip-rafter_n length_n and_o angle_n by_o the_o line_n of_o number_n ready_o page_n 191_o the_o price_n of_o one_o foot_n be_v give_v to_o find_v the_o price_n of_o a_o rod_n or_o a_o square_a of_o brickwork_n or_o floore_v by_o inspection_n page_n 193_o at_o any_o length_n of_o a_o land_n give_v to_o find_v how_o much_o in_o breadth_n make_v one_o acre_n page_n 194_o a_o useful_a table_n in_o measure_v land_n and_o the_o use_n thereof_o in_o several_a example_n page_n 196_o 197_o the_o length_n and_o breadth_n give_v in_o perch_n to_o find_v the_o content_a in_o square_n perch_n pole_n or_o rod_n page_n 200_o the_o length_n and_o breadth_n in_o perch_n to_o find_v the_o content_a in_o acre_n ibid._n the_o length_n and_o breadth_n give_v in_o chain_n to_o find_v the_o content_n in_o square_a acre_n quarter_n and_o link_n page_n 201_o to_o measure_v a_o triangle_n at_o once_o without_o half_v the_o base_a or_o area_n ibid._n to_o reduce_v statute-measure_n or_o acre_n to_o customary_a and_o the_o contrary_a ibid._n a_o table_n to_o make_v scale_n to_o do_v it_o by_o measure_v or_o inspection_n with_o example_n page_n
it_o be_v necessary_a to_o describe_v the_o several_a kind_n and_o quantity_n of_o perche_n which_o be_v speak_v of_o by_o author_n and_o use_v in_o several_a place_n together_o with_o their_o proportion_n to_o the_o statute_n perch_n of_o 16_o foot_n and_o a_o half_a square_n london_n measure_n the_o kind_n of_o perch_n be_v first_o statute-measure_n of_o 16_o foot_n ½_o to_o the_o perch_n according_a to_o the_o standard_n at_o guild-hall_n or_o the_o king_n majesty_n exchequer_n second_o woodland-measure_n a_o perch_n whereof_o contain_v 18_o foot_n square_a of_o the_o same_o london_n measure_n three_o irish_a acre_n of_o 21_o foot_n to_o the_o perch_n or_o pole_n and_o last_o three_o sort_n of_o customary_a use_v in_o several_a place_n of_o england_n of_o 20_o 24_o cheshire_n measure_n and_o 28_o foot_n square_a to_o the_o perch_n as_o for_o the_o proportion_n one_o to_o another_o that_o be_v as_o 16_o ½_o to_o 18_o 20_o 21_o 24_o 28_o or_o any_o the_o like_o whatsoever_o but_o to_o find_v their_o difference_n in_o square_n or_o scale_n the_o work_n be_v thus_o by_o the_o line_n of_o number_n first_o appoint_v what_o number_n in_o a_o inch_n shall_v be_v the_o scale_n for_o statute_n measure_n which_o i_o shall_v appoint_v a_o scale_n of_o 30_o in_o a_o inch._n then_o the_o extent_n from_o 16_o ½_o to_o 18_o for_o woodland_n measure_n shall_v reach_v the_o contrary_a way_n from_o 30_o be_v twice_o repeat_v to_o 25-2_a so_o i_o say_v that_o a_o scale_n make_v to_o 25-2_a in_o a_o inch_n shall_v be_v the_o scale_n for_o a_o woodland_n perch_n of_o 18_o foot_n square_a and_o in_o proportion_n to_o that_o of_o 16_o foot_n ½_o at_o 30_o part_n in_o a_o inch._n again_o for_o irish_a acre_n which_o be_v measure_v by_o a_o pole_n of_o 21_o foot_n to_o a_o perch_n the_o extent_n on_o the_o line_n of_o number_n from_o 21_o to_o 16_o ½_o shall_v reach_v be_v turn_v twice_o the_o same_o way_n from_o 30_o to_o 16_o ½_o the_o quantity_n of_o the_o scale_n for_o irish_a acre_n to_o be_v in_o proportion_n to_o a_o scale_n of_o 30_o in_o a_o inch_n for_o statute-measure_n and_o so_o for_o the_o rest_n or_o any_o other_o whatsoever_o as_o in_o the_o follow_a table_n 16_o ½_o the_o scale_n that_o be_v to_o it_o proportionable_a to_o 30_o for_o statute_n measure_n be_v 16_o ½_o be_v 30_o 00_o statute-measure_n 18_o 18_o 25_o 22_o woodland-measure_n 20_o 20_o 20_o 42_o customary_a 21_o 21_o 18_o =_o 50_o in_o a_o inch_n for_o irish._n 22_o 22_o 16_o 89_o customary_a 24_o 24_o 14_o 20_o customary_a cheshire-measure_n 28_o 28_o 10_o 42_o customary_a 30_o 30_o 09_o 08_o or_o any_o other_o so_o that_o if_o you_o have_v several_a scale_n make_v upon_o a_o rule_n to_o draw_v the_o plot_n of_o your_o field_n withal_o to_o these_o proportion_n which_o may_v be_v convenient_a enough_o for_o difference_n between_o one_o another_o then_o for_o the_o reduce_n of_o the_o quantity_n of_o acre_n find_v by_o statute-measure_n to_o woodland_n irish_a or_o customary_a be_v no_o more_o but_o thus_o take_v the_o acre_n measure_v by_o statute-measure_n out_o of_o the_o scale_n of_o 30_o in_o a_o inch_n appoint_v for_o statute_n measure_n and_o measure_v it_o in_o the_o scale_n of_o 25-22_a in_o a_o inch_n for_o woodland_n or_o by_o the_o scale_n of_o 18-55_a for_o irish_a acre_n or_o by_o the_o scale_n of_o 16-89_a for_o customary_a and_o you_o shall_v have_v the_o quantity_n of_o woodland_n irish_a or_o customary_a acre_n require_v example_n suppose_v i_o have_v 30_o acre_n of_o statute_n measure_n how_o many_o acre_n of_o woodland_n irish_a or_o customary_a measure_n will_v they_o make_v take_v 30_o from_o the_o scale_n of_o 30_o in_o a_o inch_n and_o on_o the_o scale_n of_o 25-22_a it_o shall_v give_v 25-22_a for_o so_o many_o woodland_n acre_n and_o on_o the_o scale_n of_o 18-55_a for_o irish_a acre_n it_o shall_v give_v 18-55_a for_o so_o many_o irish_a acre_n and_o on_o the_o scale_n of_o 16-89_a in_o a_o inch_n for_o customary_a acre_n it_o shall_v give_v 16-89_a for_o so_o many_o customary_a acre_n at_o 22_o foot_n to_o the_o perch_n or_o pole_n etc._n etc._n this_o be_v thus_o full_o premise_v to_o work_v these_o question_n by_o the_o line_n of_o number_n only_o the_o extent_n of_o the_o compass_n from_o 1●5_a the_o foot_n in_o a_o statute_n perch_n to_o 18_o the_o foot_n in_o a_o woodland_n perch_n or_o to_o 21_o the_o foot_n in_o a_o irish_a perch_n or_o to_o 22_o 24_o 28_o the_o foot_n in_o a_o customary_a perch_n shall_v reach_v from_o 30_o the_o acre_n in_o statute_n measure_n be_v twice_o repeat_v to_o 25-22_a the_o acre_n in_o woodland_n measure_v require_v etc._n etc._n it_o be_v a_o larger-acre_n mun_o needs_o be_v less_o in_o quantity_n which_o work_n be_v perform_v by_o the_o back-rule_n of_o three_o in_o a_o duplicate_v proportion_n problem_n vii_o have_v the_o plot_n or_o draught_n of_o a_o field_n and_o its_o content_a in_o acre_n to_o find_v by_o what_o scale_n it_o be_v plot_v that_o be_v by_o what_o part_n in_o a_o inch._n suppose_v a_o triangle_n or_o a_o parallellagram_n or_o long_o square_a do_v contain_v 4_o acre_n and_o a_o half_a which_o be_v set_v down_o in_o figure_n thus_o 4-50_a which_o if_o i_o shall_v measure_v by_o a_o scale_n of_o 12_o in_o a_o inch_n may_v happen_v to_o be_v 2-25_a chain_n one_o way_n and_o 1_o chain_n 25_o link_n ●he_v other_o way_n which_o two_o sum_n be_v multiply_v together_o make_v 2-5200_a whereas_o it_o shall_v be_v 4-5000_a therefore_o by_o th●_n 〈◊〉_d of_o number_n to_o gain_v 〈…〉_z do_v thus_o divide_v the_o distance_n between_o 2-5200_a and_o 4-5000_a into_o two_o equal_a part_n that_o distance_n lay_v the_o right_a way_n from_o 12_o the_o scale_n i_o measure_v by_o shall_v reach_v to_o 16_o the_o scale_n the_o plot_n be_v make_v by_o for_o note_n that_o if_o the_o scale_n i_o guess_v a●_n give_v more_o than_o i_o shall_v have_v than_o i_o have_v too_o many_o in_o a_o inch_n but_o if_o less_o i_o must_v have_v more_o in_o a_o inch_n as_o here_o which_o infallible_o show_v which_o way_n which_o be_v always_o the_o same_o way_n as_o you_o divide_v the_o space_n from_o the_o guess_v sum_n or_o product_n to_o the_o true_a product_n to_o this_o rule_n may_v be_v refer_v the_o way_n to_o discover_v the_o true_a size_n of_o glasier_n quarry_n the_o method_n whereof_o be_v thus_o they_o be_v usual_o cut_v to_o and_o call_v by_o 8_n 10s_o 12s_o 15s_o 18s_o and_o 20_n in_o a_o foot_n or_o any_o other_o what_o you_o please_v that_o be_v to_o say_v 8_o quarry_n of_o glass_n of_o 8_n make_v a_o superficial_a foot_n and_o 10_o quarry_n of_o 10_n make_v a_o foot_n superficial_a and_o 12_o of_o the_o 12_n etc._n etc._n also_o they_o be_v cut_v in_o a_o diamond_n form_n to_o one_o sort_n of_o angle_n for_o the_o squ●re_a quarry_n and_o another_o for_o the_o long_a quarry_n the_o acute_a angle_n of_o the_o square_a quarry_n be_v 77_o degree_n and_o 19_o 〈…〉_z and_o the_o acute_a angle_n of_o the_o long_a quarry_n ●7_n degree_n and_o 22_o minute_n the_o long_o ●as_v be_v just_a 6_o inch_n long_o and_o 4_o inch_n broad_a and_o the_o square_a 10_n 6_o inch_n long_o and_o 4_o inch_n and_o 80_o part_n of_o a_o 100_o broad_a this_o being_n the_o stand_a rule_n or_o method_n and_o those_o two_o size_n be_v know_v i_o will_v find_v out_o any_o other_o as_o 13_n or_o 14_n or_o 17_n and_o the_o like_a do_v thus_o divide_v the_o distance_n on_o the_o line_n of_o number_n between_o the_o content_a of_o some_o know_a size_n and_o the_o content_a of_o the_o inquire_v size_n into_o two_o equal_a part_n and_o that_o distance_n lay_v the_o right_a way_n from_o the_o side_n of_o the_o know_a size_n increase_v for_o a_o big_a and_o decrease_v for_o a_o less_o shall_v give_v the_o reciprocal_a side_n of_o the_o size_n require_v example_n the_o side_n range_v length_n and_o breadth_n of_o square_a 10_n be_v as_o in_o the_o table_n follow_v and_o i_o will_v have_v the_o range_v side_n length_n and_o breadth_n of_o 14_n a_o unusual_a size_n the_o content_a of_o a_o square_a quarry_n of_o glass_n call_v 10_n be_v a_o just_a 10_o part_n of_o a_o foot_n which_o be_v 1_o inch_n and_o 20_o part_n or_o one_o 10_o part_n of_o a_o superficial_a foot_n contain_v 12_o long_a inch_n and_o the_o content_a of_o the_o size_n call_v 14_o s_o must_v be_v one_o 14_o part_n of_o the_o same_o measure_n or_o foot_n superficial_a which_o be_v 0-85714_a that_o be_v 0-857_a part_n of_o one_o long_a inch_n in_o a_o 1000_o part_n then_o by_o the_o line_n of_o number_n divide_v the_o space_n between_o 1-2000_a the_o content_a of_o the_o 10_n and_o 0-857_a the_o
204_o know_v the_o content_a of_o a_o piece_n of_o land_n plot_v out_o to_o find_v by_o what_o scale_n it_o be_v do_v page_n 206_o the_o same_o rule_n apply_v to_o the_o measure_n of_o glaziers_n quarry_n page_n 208_o a_o table_n of_o all_o the_o usual_a size_n of_o quarry_n page_n 210_o the_o breadth_n &_o depth_n of_o any_o solid_a body_n be_v give_v to_o find_v the_o side_n of_o the_o square_a equal_a page_n 211_o the_o breadth_n and_o depth_n or_o square_a equal_a give_v to_o find_v how_o much_o in_o length_n make_v one_o foot_n solid_a four_o manner_n of_o way_n according_a to_o the_o wordin●_n of_o the_o question_n page_n 212_o the_o breadth_n an●_n depth_n or_o the_o side_n of_o the_o square_n of_o any_o solid_a give_v to_o find_v how_o much_o be_v in_o a_o foot_n long_o solid_a measure_n three_o way_n according_a to_o the_o word_v the_o question_n page_n 219_o 220_o the_o breadth_n depth_n and_o length_n of_o any_o solid_a body_n give_v to_o find_v the_o solid_a content_a four_o way_n according_a to_o the_o word_v the_o question_n page_n 221_o 222_o 223._o the_o 3_o last_o probl._n wrought_v by_o the_o sector_n page_n 226_o the_o diameter_n of_o a_o cillender_n give_v to_o find_v how_o much_o in_o length_n make_v 1_o foot_n 4_o way_n page_n 230_o the_o diameter_n of_o a_o cillender_n give_v to_o find_v how_o much_o be_v in_o a_o foot_n long_o 3_o way_n page_n 232_o the_o diameter_n of_o a_o cillender_n with_o the_o length_n give_v to_o find_v the_o content_a 3_o way_n page_n 233_o the_o circumference_n give_v to_o find_v a_o foot_n 3_o way_n page_n 234_o the_o circumference_n to_o find_v how_o much_o in_o a_o foot_n 3_o way_n page_n 236_o the_o circumference_n and_o length_n to_o find_v the_o content_a 3_o way_n page_n 238_o the_o custom_n &_o allowance_n in_o measure_v round_a timber_n as_o oak_n or_o elm_n &_o the_o like_a page_z 240_o the_o use_n of_o 2_o point_n for_o that_o allowance_n page_n 242_o to_o measure_v a_o round_a pyramid_n or_o steeple_n ibid._n a_o nicety_n in_o measure_v round_a timber_n state_v page_n 246_o to_o measure_n globe_n and_o segment_n of_o globe_n both_o superficial_o round_a about_o and_o with_o th●_n solidity_n several_a way_n by_o arithmetic_n and_o the_o line_n of_o number_n and_o solid_a segment_n with_o a_o small_a table_n of_o solid_a segment_n page_n 252_o 253_o the_o experiment_a proportion_n between_o a_o cube_n a_o cillender_n a_o sphere_n a_o cone_n a_o prism_n a_o square_a and_o triangule_a pyramid_n page_n 257_o the_o use_n of_o the_o slide_n cover_v or_o rule_n page_n 259_o the_o description_n page_n 260_o the_o gage-point_n and_o place_n of_o they_o page_z 261_o the_o use_v to_o square_v a_o piece_n to_o find_v how_o much_o in_o length_n will_v make_v 1_o foot_n of_o square_a timber_n page_n 263_o to_o find_v how_o much_o be_v in_o a_o foot_n long_o page_n 264_o the_o square_a and_o length_n give_v to_o find_v the_o content_a page_n 265_o the_o diameter_n of_o round_a timber_n give_v to_o find_v how_o much_o be_v in_o a_o foot_n long_o page_n 267_o to_o find_v how_o much_o in_o length_n make_v 1_o foot_n page_z 268_o diameter_n and_o length_n give_v to_o find_v the_o content_a page_n 269_o the_o circumference_n give_v to_o find_v how_o much_o be_v in_o a_o foot_n long_o page_n 271_o the_o circumference_n give_v to_o find_v how_o much_o make_v a_o foot_n ibid._n the_o circumference_n and_o length_n give_v to_o find_v the_o content_a page_n 272_o to_o gage_n round_a cask_n by_o the_o rule_n or_o square_n count_v 6_o foot_n for_o a_o barrel_n of_o beer_n or_o one_o foot_n for_o 6_o gallon_n or_o one_o foot_n for_o 7_o gallon_n and_o a_o half_a of_o wine_n measure_n page_n 273_o the_o diameter_n and_o length_n of_o a_o cask_n give_v to_o find_v the_o content_a in_o wine-gallon_n or_o ale-gallon_n ibid._n to_o gage_n brewer_n great_a round_a tun_n and_o to_o have_v the_o content_a in_o barrel_n at_o one_o work_n page_z 274_o the_o use_n of_o the_o other-side_n in_o superficial_a measure_n golden_a rule_n and_o division_n page_n 275_o to_o make_v and_o measure_v the_o 5_o regular_a body_n with_o the_o declination_n and_o reclination_n of_o every_o side_n at_o any_o situation_n of_o they_o the_o cube_n page_n 277_o the_o tetrahedron_n page_n 279_o the_o octahedron_n page_n 281_o the_o dodecahedron_n page_n 283_o the_o icosahedron_n page_n 286_o a_o figure_n and_o a_o table_n of_o all_o the_o side_n and_o angle_n page_n 294_o gage_v by_o the_o line_n of_o number_n page_n 295_o to_o gage_n great_a square_a vessel_n and_o round_a vessel_n page_n 297_o artificial_o and_o natural_o with_o example_n page_n 300_o to_o find_v the_o mean_a diameter_n and_o gagepoint_n page_n 303_o to_o find_v the_o content_n of_o cask_n otherwise_o ibid._n the_o content_a and_o mean_a diameter_n give_v to_o find_v the_o length_n of_o the_o cask_n &_o contrary_a page_n 308_o to_o find_v the_o want_n &_o nullage_n two_o way_n page_n 311_o a_o table_n of_o the_o want_v in_o a_o beer_n barrel_n in_o beer_n and_o wine_n gallon_n at_o any_o inch_n wet_a or_o dry_a page_n 317_o the_o use_n of_o the_o line_n of_o number_n in_o interest_n and_o several_a example_n thereof_o many_o way_n useful_a page_n 324_o the_o use_n of_o the_o line_n in_o military_a question_n page_n 332_o the_o use_n of_o the_o line_n in_o solid_a proportion_n as_o the_o weight_n and_o measure_n of_o rope_n and_o burden_v of_o ship_n page_n 336_o the_o way_n to_o use_v the_o logarithmal_a table_n page_n 340_o the_o use_n of_o the_o rule_n in_o geometry_n &_o astronomy_n in_o 50_o proposition_n or_o uses_n by_o the_o particular_a scale_n or_o quadrant_n the_o general_a scale_n or_o quadrant_n the_o sector_n and_o artificial_a number_n sin_n and_o tangent_n page_n 345_o to_o 448_o the_o use_n of_o the_o triangule_a quadrant_n in_o find_v of_o height_n and_o distance_n accessable_a or_o inaccessible_a in_o 14_o uses_n page_n 449_o to_o 483._o finis_fw-la radius_fw-la right-sine_a tangent_fw-la secant_fw-la chord_n cousin_n lateral-sine_a parallel_n nearest-distance_n addition_n on_o line_n substraction_n on_o line_n rectify_v point_n plain_a pole_n of_o the_o plain_a declination_n perpendiculer-line_n on_o the_o plain_a horizontal-line_n reclination_n and_o inclination_n meridian-line_n substile_n style_n angle_z between_z 12_o and_o 6._o inclination_n of_o meridian_n parallel_n contingent_a vertical-line_n nodus_fw-la or_o apex_n perpendicule_a height_n of_o the_o style_n foot_n of_o the_o style_n virtical-point_n axis_n of_o the_o horizon_n erect_a direct_v decline_a recline_a or_o inclining-plain_n oblique_a circle_n of_o position_n pole_n pole_n of_o the_o zodiac_n equinoctial-point_n solsticial-point_n zenith_n nadir_n horizon_n 1._o zodiac_n 4._o colour_n 5._o &_o 6._o tropic_n 7._o &_o 8._o polar-circle_n 9_o &_o 10._o hour_n azimuth_n almicanter_n declination_n latitude_n longitude_n rightascention_n oblique-ascention_n ascentional_a difference_n amplitude_n circle_n and_o angle_n of_o position_n position_n in_o both_o these_o the_o inversed_a proportion_n be_v in_o the_o low_a line_n circle_n half-circle_n quadrant_n or_o the_o quarter_n lesser-part_n segment_n triangle_n rhombus_fw-la trapeziaes_n regular-polligons_a by_o the_o trianguler-quadrant_n sines_n tangent_fw-la secant_fw-la chord_n sines_n tangent_n secant_v chord_n by_o the_o sector-side_n sine_fw-la tangent_fw-la tan._n to_o 76._o secant_fw-la by_o the_o line_n on_o the_o edge_n sines_n tangent_fw-la secant_v &_o tangent_n beyond_o 45_o degree_n artificial-logarithms_a the_o proof_n of_o the_o truth_n of_o the_o instrument_n quadrant_n sector_n quadr._n sector_n quadrant_n sector_n quadr._n sector_n quadr._n sector_n quadr._n sector_n sector_n sector_n quadr_n sector_n quadr._n sector_n quadr._n quadr._n by_o the_o quadr._n particular_o quad._n generally_n quadr·_n particular_o artificials_a &_o t._n quad._n generally_n sector_n particular_a quadr._n artificials_a &_o t._n quad._n generally_n sector_n art_n sine_fw-la quadr._n sector·_n partic._n quadr._n art_n sines_n quadr._n general_o sector_n art_n sine_fw-la quadr._n sector_n partic._n q._n artific_n s._n gen._n quad._n sector_n part._n q._n artificial_a s._n &_o t._n gen._n quad._n sector_n partic._n q._n oblique-ascention_n artificial_a s._n &_o tan._n g._n quad._n sector_n artificials_a &_o t._n partic._n q._n gen._n quad_n sector_n partic._n q._n particular_a quadr._n particular_a quadrant_n particular_a quadrant_n artificials_a &_o t._n gen._n quad._n sector_n particular_a quadrant_n gen._n quad._n sector_n gen._n quad_n by_o artificial_a sin_n &_o tang._n particular_a quadrant_n general-quadr_a by_o the_o artificial-sines_n and_o tangent_n by_o the_o sector_n bianca_n artifl_fw-mi s._n &_o t._n general-quadr_a gen._n quad_n by_o the_o sector_n gen._n q●ad_n sector_n artificial_a s._n &_o tat._n artificial_a s._n &_o t._n by_o the_o general-quadrant_n &_o sector_n gen._n quad._n by_o artificial_a sin_n &_o tang._n by_o artifi_n s._n &_o t._n by_o the_o sector_n general-quadr_a or_o sector_n particular_a quadrant_n by_o the_o artificial-sines_n and_o tangent_n general-quadr_a particular_a quadrant_n artificials_a &_o t._n artificials_a &_o t._n partic._n q._n gen._n quad_n particular_a quadrant_n fig._n i._n fig._n i._n fig._n i._n fig._n ii_o fig._n v_n fig._n vi_o fig._n iu._n fig._n vii_o fig._n viii_o