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

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A52120	The country-survey-book: or Land-meters vade-mecum Wherein the principles and practical rules for surveying of land, are so plainly (though briefly) delivered, that any one of ordinary parts (understanding how to add, substract, multiply and divide,) may by the help of this small treatise alone and a few cheap instruments easy to be procured, measure a parcel of land, and with judgment and expedition plot it, and give up the content thereof. With an appendix, containing twelve problems touching compound interest and annuities; and a method to contract the work of fellowship and alligation alternate, very considerably in many cases. Illustrated with copper plates. By Adam Martindale, a friend to mathematical learning.	Martindale, Adam, 1623-1686.; Collins, John, 1625-1683.	1692 (1692)	Wing M854A; ESTC R217468	73,611	191

of_o it_o go_v off_o again_o in_o the_o substraction_n of_o the_o triangle_n ii_o for_o the_o latter_a you_o may_v take_v this_o ready_a course_n measure_v the_o length_n of_o both_o your_o line_n the_o chord_n and_o the_o arch_n and_o their_o distance_n at_o the_o middle_n of_o they_o both_o then_o when_o you_o come_v to_o protract_v first_o take_v the_o length_n of_o your_o right_a line_n from_o the_o scale_n and_o have_v lay_v it_o down_o cross_v it_o in_o the_o middle_n at_o right_a angle_n with_o a_o dry_a line_n as_o in_o the_o last_o figure_n so_o shall_v it_o intersect_v the_o line_n ab_fw-la in_o the_o point_n e_o fig._n 19_o then_o from_o the_o same_o scale_n take_v the_o measure_a distance_n between_o the_o two_o line_n in_o the_o middle_n and_o set_v it_o upon_o that_o dry_a line_n from_o the_o intersection_n at_o e_o to_o the_o point_n c._n then_o by_o trial_n find_v a_o due_a place_n in_o the_o dry_a line_n oec_n and_o such_o a_o distance_n with_o your_o compass_n that_o the_o one_o foot_n rest_v in_o that_o line_n the_o other_o may_v describe_v the_o arch_n acb_n and_o the_o section_n be_v protract_v these_o few_o hint_n be_v as_o much_o as_o i_o think_v necessary_a for_o my_o country_n practitioner_n concern_v circular_a line_n but_o if_o he_o think_v otherwise_o there_o be_v large_a treatise_n enough_o and_o particular_o those_o i_o mention_v who_o rule_n though_o ingenious_a sound_a and_o fit_a to_o be_v know_v by_o every_o one_o that_o intend_v to_o plunge_v deep_a into_o mathematical_a study_n will_v not_o i_o think_v be_v of_o that_o use_n to_o he_o in_o ordinary_a measure_n that_o i_o shall_v transcend_v the_o intend_a bound_n of_o brevity_n to_o transcribe_v they_o chap._n viii_o concern_v customary_a measure_n and_o how_o it_o may_v be_v reduce_v to_o statute-measure_n &_o è_fw-la contra_fw-la either_o by_o the_o rule_n of_o three_o or_o a_o more_o compendious_a way_n by_o multiplication_n only_o whereas_o the_o statute-perch_n or_o pole_n be_v 16_o foot_n and_o a_o half_a and_o no_o more_o there_o be_v pole_n of_o large_a measure_n use_v in_o many_o place_n as_o of_o 18_o 20_o 21_o 24_o and_o 28_o foot_n yea_o in_o some_o 22_o foot_n and_o a_o half_a it_o be_v therefore_o very_o convenient_a that_o our_o young_a surveyor_n be_v furnish_v with_o a_o chain_n fit_v to_o the_o customary_a measure_n of_o the_o country_n where_o he_o live_v as_o i_o use_v to_o make_v chain_n for_o myself_o and_o scholar_n of_o 21_o or_o 24_o foot_n to_o the_o pole_n for_o lancashire_n and_o cheshire_n where_o those_o measure_v most_o obtain_v but_o because_o these_o be_v too_o large_a and_o cumbersome_a for_o small_a close_n it_o be_v very_o convenient_a instead_o of_o one_o chain_n of_o 100_o link_n to_o make_v two_o of_o 2_o pole_n apiece_o each_o pole_n divide_v into_o 25_o link_n as_o that_o of_o 100_o be_v which_o two_o half_a chain_n may_v in_o measure_v large_a field_n be_v tie_v together_o by_o the_o loop_n with_o pack-thread_n or_o join_v by_o a_o button_n keyr_v for_o more_o speedy_a dispatch_n but_o in_o small_a we_o may_v use_v the_o half_a chain_n of_o 50_o link_n only_o take_v care_n that_o we_o count_v not_o half_a chain_n for_o whole_a one_o and_o in_o these_o case_n where_o the_o pole_n be_v large_a and_o the_o close_v small_a ☜_o it_o be_v still_o more_o convenient_a if_o you_o have_v a_o chain_n of_o 2_o pole_n only_o divide_v into_o 100_o link_n only_o you_o must_v then_o take_v notice_n that_o whereas_o work_v by_o whole_a chain_n and_o link_n the_o first_o multiplication_n after_o five_o cut_v off_o give_v the_o content_a in_o acre_n and_o part_n the_o like_a work_n by_o half_a chain_n and_o half_a link_n will_v give_v the_o content_a in_o rood_n or_o quarter_n of_o acre_n and_o part_n of_o such_o rood_n but_o though_o it_o be_v no_o hard_a matter_n for_o one_o that_o can_v find_v out_o the_o length_n of_o a_o link_n by_o divide_v the_o number_n of_o foot_n in_o a_o chain_n by_o 100_o and_o provide_v himself_o of_o good_a iron-wyre_n and_o curtain_n ring_v to_o make_v it_o of_o and_o a_o sharp_a edge_a file_n and_o round_o nose_a plyer_n to_o make_v it_o with_o to_o be_v furnish_v with_o such_o a_o chain_n yet_o because_o every_o one_o can_v do_v this_o i_o shall_v show_v you_o how_o you_o may_v easy_o and_o yet_o very_o true_o reduce_v statute-measure_n into_o customary_a that_o so_o the_o chain_n before_o describe_v may_v do_v your_o business_n all_o england_n over_o know_v therefore_o for_o a_o ground_n to_o go_v upon_o that_o acre_n bear_v proportion_n to_o one_o another_o as_o the_o square_n of_o their_o pole_n and_o therefore_o if_o you_o multiply_v 33_o the_o number_n of_o half_a foot_n in_o the_o statute-pole_n by_o itself_o which_o give_v 1089_o and_o also_o multiply_v the_o number_n of_o half_a foot_n contain_v in_o a_o pole_n of_o that_o measure_n you_o will_v reduce_v into_o in_o the_o same_o manner_n you_o may_v by_o the_o rule_n of_o three_o reverse_v obtain_v your_o desire_n make_v to_o that_o purpose_n 1089_o the_o first_o number_n the_o statute-measure_n the_o second_o and_o the_o square_a half-feet_n of_o the_o pole_n give_v the_o three_o as_o for_o example_n 9.33_o l._n 7.21_o b._n 933_o 1866_o 6531_o 672693_o prod_n suppose_v of_o a_o close_o measure_v by_o the_o statute-pole_n the_o length_n breadth_n and_o their_o product_n be_v as_o here_o represent_v in_o the_o margin_n and_o it_o be_v desire_v that_o the_o content_a may_v be_v cast_v up_o according_a to_o our_o large_a cheshire_n measure_n of_o eight_o yard_n or_o 24_o foot_n to_o the_o pole_n or_o rood_n as_o we_o call_v it_o the●_n before_o i_o cut_v off_o any_o figure_n i_o consider_v that_o in_o the_o statute-pole_n be_v 33_o half-feet_n and_o in_o the_o cheshire-pole_n 48_o then_o multiply_v 33_o by_o 33_o and_o 48_o by_o 48_o i_o have_v these_o two_o square_a number_n 1089_o and_o 2304_o which_o together_o with_o the_o say_a product_n may_v be_v thus_o place_v 1089._o 672693_o ∷_o 2304_o and_o so_o multiply_v 672693_o by_o 1089_o and_o divide_v their_o product_n be_v 732562677_o by_o 2304_o the_o quotient_n be_v 317952_o from_o which_o if_o 5_o figure_n towards_o the_o right_a hand_n be_v cut_v off_o and_o deal_v withal_o as_o be_v teach_v in_o the_o five_o chapter_n the_o content_a by_o our_o customary_a measure_n of_o 24_o foot_n to_o the_o pole_n will_v be_v 3_o acre_n 0_o rood_n 28_o perch_n as_o here_o appear_v 317952_o 4_o 71808_o 40_o 2872320_o but_o if_o the_o line_n on_o the_o land_n have_v be_v measure_v according_a to_o our_o custom_n here_o of_o 24_o foot_n to_o the_o pole_n and_o the_o content_a must_v have_v be_v find_v according_a to_o statute_n measure_n then_o i_o must_v have_v multiply_v the_o product_n by_o 2304_o and_o have_v divide_v that_o latter_a product_n by_o 1089_o and_o in_o the_o same_o method_n you_o may_v proceed_v in_o all_o or_o any_o of_o the_o rest_n but_o the_o truth_n be_v that_o though_o this_o way_n be_v very_o exact_a plain_a and_o comprehensive_a suit_v all_o the_o customary_a measure_n beforementioned_a without_o fraction_n which_o for_o my_o learner_n sake_n i_o studious_o avoid_v and_o for_o that_o reason_n reduce_v my_o pole_n to_o half-feet_n it_o be_v something_o tedious_a except_o he_o know_v how_o to_o relieve_v himself_o by_o a_o large_a table_n of_o logarithm_n or_o at_o least_o a_o set_v of_o nepair's-bone_n which_o i_o can_v stand_v here_o to_o treat_v of_o therefore_o to_o contract_v the_o work_n a_o little_a take_v notice_n that_o all_o the_o customary_a pole_n before_o mention_v save_v only_o those_o of_o 20_o and_o 28_o foot_n which_o i_o suppose_v be_v somewhat_o rare_o use_v because_o i_o never_o hear_v nor_o read_v of_o they_o to_o my_o remembrance_n save_v only_o in_o mr._n holwel_n all_o the_o rest_n i_o say_v be_v capable_a of_o be_v divide_v into_o half-yard_n and_o therefore_o if_o instead_o of_o square_n the_o half-feet_n you_o square_v the_o half-yard_n of_o both_o pole_n and_o work_v with_o they_o you_o will_v attain_v the_o same_o end_n without_o any_o regardable_a difference_n the_o small_a diversity_n that_o there_o be_v be_v usual_o in_o the_o useless_a remainder_n not_o at_o all_o affect_v the_o desire_a quotient_n that_o give_v the_o answer_n near_o enough_o for_o use_v as_o for_o example_n if_o i_o have_v square_v 11_o the_o number_n of_o half-yard_n in_o the_o statute-pole_n which_o will_v make_v 121_o and_o also_o 16_o the_o number_n of_o half-yard_n in_o our_o cheshire-pole_n which_o will_v make_v 256_o as_o appear_v in_o the_o margin_n and_o then_o multiply_v the_o first_o product_n 672693_o by_o 121_o the_o second_o product_n will_v have_v be_v 81319853_o which_o be_v divide_v by_o 256_o the_o quotient_n will_v have_v be_v

suppose_v a_o large_a triangle_n of_o common_a land_n be_v to_o be_v divide_v among_o three_o tenant_n a_o b_o and_o c_o according_a to_o the_o quantity_n of_o their_o tenement_n a_o have_v 19_o acre_n of_o land_n to_o his_o tenement_n b13_n and_o c7_n the_o base_a of_o the_o triangle_n be_v find_v by_o measure_n to_o be_v 17_o chain_n and_o 27_o link_n and_o the_o dem_n and_o be_v where_o the_o point_n of_o division_n must_v be_v place_v in_o the_o base_a so_o as_o line_n draw_v from_o thence_o to_o the_o opposite_a angle_n shall_v true_o limit_v each_o man_n part_n to_o answer_v this_o let_v we_o add_v 13_o and_o 07_o to_o 19_o as_o in_o the_o margin_n and_o they_o give_v 39_o so_o be_v the_o work_n plain_o reduce_v to_o the_o rule_n of_o fellowship_n and_o therefore_o to_o find_v every_o man_n distinct_a portion_n we_o need_v only_o to_o multiply_v the_o base_a by_o his_o 19_o 13_o 07_o 39_o particular_a number_n and_o divide_v that_o product_n by_o 39_o the_o sum_n of_o all_o their_o number_n as_o here_o be_v plain_a a_o 39_o 17._o 27_o ∷_o 19_o 19_o 15543_o 1727_o 39_o 32813_o 841_o 14_o 39_o 312_o 161_o 156_o 53_o 39_o 14_o b_o 39_o 17._o 27_o ∷_o 13_o 13_o 5181_o 1727_o 39_o 22451_o 575_o 2d_o 3●_n 195_o 295_o 273_o 221_o 195_o 26_o c_o 39_o 17._o 27_o ∷_o 7_o 7_o 39_o 12089_o 309_o 38_o 39_o 117_o 389_o 351_o 38_o from_o these_o operation_n it_o be_v plain_a that_o if_o we_o set_v off_o from_o the_o angular_a point_n where_o the_o base_a begin_v 8_o chain_n 41_o link_n and_o a_o little_a above_o the_o three_o part_n of_o a_o link_n upon_o the_o base_a for_o a_o and_o where_o that_o end_n 5_o chain_n and_o 75_o link_n and_o 2_o 3_o of_o a_o link_n for_o b_o and_o consequent_o leave_v between_o this_o second_o division_n and_o the_o other_o end_n of_o the_o base_a 3_o chain_n and_o almost_o 10_o link_n for_o c_o line_n draw_v from_o those_o point_n of_o division_n to_o the_o opposite_a angle_n will_v give_v each_o man_n his_o due_n what_o i_o have_v say_v touch_v the_o division_n of_o triangle_n upon_o their_o base_n ☜_o will_v with_o a_o little_a variation_n serve_v for_o the_o divide_n of_o all_o sort_n of_o parallellogram_n whether_o square_a long-squares_a rhombus_n or_o rhomboides_n all_o the_o difference_n be_v that_o in_o stead_n of_o draw_v line_n from_o point_n in_o the_o base_a to_o the_o opposite_a angle_n you_o must_v draw_v parallel_a line_n from_o point_n in_o one_o opposite_a side_n to_o another_o as_o will_v be_v sufficient_o plain_a by_o this_o one_o instance_n fig._n 7_o suppose_v the_o square_a figure_n in_o the_o 8_o prop._n of_o the_o second_o chapter_n to_o represent_v a_o close_a of_o six_o acre_n and_o i_o be_o to_o cut_v off_o a_o acre_n at_o the_o side_n ac_fw-la have_v set_v off_o the_o 6_o part_n of_o the_o line_n cd_o from_o c_o towards_z d_o and_o also_o from_o a_o towards_o n_o a_o parallel_n draw_v between_o those_o point_n take_v off_o exact_o a_o 6_o part_n or_o a_o acre_n if_o it_o be_v not_o think_v convenient_a as_o in_o some_o case_n it_o be_v not_o to_o cut_v off_o a_o piece_n so_o long_o and_o narrow_a you_o may_v by_o the_o rule_n of_o three_o find_v what_o other_o length_n of_o any_o great_a breadth_n will_v limit_v a_o equal_a quantity_n to_o it_o or_o you_o may_v multiply_v the_o breadth_n by_o 2_o 3_o or_o any_o other_o and_o divide_v the_o length_n by_o the_o same_o number_n that_o you_o multiply_v the_o breadth_n by_o or_o last_o if_o you_o set_v out_o a_o double_a proportion_n that_o be_v 2_o 6_o or_o 1_o 3_o from_o c_z towards_z d_o and_o from_o the_o point_n where_o it_o fall_v draw_v a_o line_n to_o the_o angle_n a_o you_o will_v have_v a_o triangle_n equal_a to_o 1_o 6_o of_o the_o square_a acdn._n but_o to_o return_v to_o triangle_n the_o most_o simple_a and_o primitive_a of_o all_o rectilinear_n and_o therefore_o the_o most_o considerable_a in_o this_o case_n of_o partition_n as_o give_v law_n often_o to_o the_o rest_n it_o may_v fall_v out_o that_o a_o triangle_n must_v be_v divide_v convenience_n so_o require_v by_o a_o line_n from_o some_o point_n in_o a_o side_n so_o as_o that_o line_n may_v either_o be_v parallel_n to_o some_o other_o side_n or_o not_o parallel_v to_o any_o for_o the_o former_a case_n take_v this_o example_n follow_v out_o of_o mr._n wing_n lib._n 5._o prob._n 5._o fig._n 21_o let_v abc_n be_v a_o triangle_n give_v and_o it_o be_v require_v to_o cut_v off_o 3_o 5_o by_o a_o line_n parallel_n to_o ab_fw-la first_o on_o the_o line_n ac_fw-la describe_v the_o semicircle_n aec_fw-la who_o diameter_n ca_n divide_v into_o five_o equal_a part_n according_a to_o the_o great_a term_n and_o upon_o three_o of_o those_o part_n the_o lesser_a term_n erect_v the_o perpendicular_a de_fw-fr which_o cut_v the_o arch_a line_n in_o e_z then_o set_v the_o line_n ce_fw-fr from_fw-la c_o to_o f_o and_o from_o thence_o draw_v the_o line_n eglantine_n parallel_n to_o ab_fw-la so_o will_v the_o triangle_n cgf_n contain_v 3_o 5_o of_o the_o triangle_n abc_n as_o be_v require_v fig._n 22_o now_o for_o the_o latter_a case_n when_o the_o line_n of_o partition_n go_v not_o parallel_v with_o any_o side_n take_v this_o example_n let_v abc_n be_v a_o triangle_n give_v to_o be_v divide_v into_o two_o part_n which_o shall_v bear_v proportion_n to_o one_o another_o as_o 3_o and_o 2_o by_o a_o line_n draw_v from_o the_o point_n d_o in_o the_o base_a or_o line_n ac_fw-la from_o the_o limit_a point_n d_o draw_v a_o line_n to_o the_o angle_n b_o then_o divide_v the_o base_a ac_fw-la into_o five_o equal_a part_n and_o from_o the_o three_o point_n of_o division_n draw_v the_o line_n to_o e_o parallel_n to_o bd._n last_o from_o e_o draw_v the_o line_n ed._n so_o shall_v the_o trapezium_fw-la abed_o be_v in_o content_n as_o 3_o to_o 2_o to_o the_o new_a triangle_n dec_n i_o have_v now_o do_v with_o the_o division_n of_o triangle_n when_o i_o have_v add_v these_o three_o advertisement_n 1._o you_o must_v be_v sure_a to_o take_v very_o exact_o the_o distance_n of_o every_o point_n where_o a_o divide_v line_n cut_v any_o side_n to_o one_o of_o the_o end_n of_o the_o same_o side_n as_o in_o this_o last_o figure_n the_o distance_n be_v and_o ad_fw-la which_o distance_n be_v apply_v to_o the_o scale_n by_o which_o the_o triangle_n be_v protract_v will_v show_v at_o how_o many_o chain_n and_o links-end_n you_o be_v to_o make_v your_o divide_v line_n on_o the_o field_n itself_o 2._o the_o proportion_n by_o which_o you_o be_v to_o divide_v be_v not_o always_o so_o formal_o give_v as_o in_o the_o former_a example_n but_o be_v sometime_o to_o be_v find_v out_o by_o arithmetical_a work_n as_o in_o this_o case_n suppose_v a_o triangular_a field_n of_o 6_o acre_n 2_o rood_n and_o 31_o perch_n must_v be_v divide_v so_o as_o the_o one_o of_o the_o two_o part_n shall_v be_v 4_o acre_n 3_o rood_n and_o 5_o perch_n and_o the_o other_o consequent_o 1_v acre_n 3_o rood_n and_o 26_o perch_n reduce_v both_o measure_n into_o perch_n and_o the_o one_o will_v be_v 765_o and_o the_o other_o 306._o their_o sum_n be_v 1071_o which_o by_o their_o common_a measure_n be_v reduce_v into_o their_o low_a term_n of_o proportion_n in_o whole_a number_n will_v be_v 5_o 2_o and_o 7_o which_o show_v that_o the_o triangle_n be_v divide_v into_o 7_o equal_a part_n the_o one_o must_v have_v 5_o of_o those_o 7_o part_n and_o the_o other_o 2._o and_o observe_v that_o it_o will_v be_v sufficient_a to_o find_v the_o common_a measure_n between_o the_o sum_n of_o the_o term_n and_o either_o of_o the_o term_n the_o method_n whereof_o be_v show_v in_o every_o arithmetic_n book_n for_o reduce_v fraction_n into_o their_o low_a term_n but_o if_o my_o unlearned_a reader_n can_v skill_v of_o that_o work_n he_o may_v multiply_v either_o of_o the_o part_n as_o suppose_v 765_o by_o the_o length_n of_o the_o base_a which_o we_o will_v suppose_v to_o be_v 8_o chain_n and_o 75_o link_n or_o 875_o link_n and_o that_o product_v divide_v by_o 1071_o the_o content_a of_o the_o whole_a close_a in_o perch_n give_v by_o the_o rule_n of_o three_o direct_v 625_o link_n or_o 6_o chain_n and_o 1_o pole_n the_o true_a distance_n from_o either_o end_n of_o the_o base_a that_o his_o mind_n or_o occasion_n may_v direct_v he_o to_o begin_v with_o to_o the_o point_n of_o division_n for_o the_o division_n must_v be_v not_o only_o for_o proportion_n or_o quantity_n but_o also_o as_o to_o position_n or_o situation_n of_o part_n upon_o the_o paper_n as_o it_o be_v require_v to_o be_v on_o the_o ground_n 3._o in_o these_o and_o all_o other_o division_n