Selected quad for the lemma: ground_n

Word A Word B Word C Word D Occurrence Frequency Band MI MI Band Prominent
ground_n angle_n line_n right_a 2,182 5 9.6733 4 true
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ID Title Author Corrected Date of Publication (TCP Date of Publication) STC Words Pages
A15724 A discouerie of sundrie errours and faults daily committed by lande-meaters, ignorant of arithmetike and geometrie, to the damage, and preiudice of many her Maiesties subiects with manifest proofe that none ought to be admitted to that function, but the learned practisioners of those sciences: written dialoguewise, according to a certaine communication had of that matter. By Edward Worsop, Londoner. Euery one that measureth land by laying head to head, or can take a plat by some geometricall instrument, is not to be accounted therfore a sufficient landmeater, except he can also prooue his instruments, and measurings, by true geometricall demonstrations. Worsop, Edward. 1582 (1582) STC 25997; ESTC S120271 43,934 78

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square_n lie_v contain_v seven_o perch_n more_o than_o the_o long_o but_o for_o the_o easter_n proof_n i_o will_v admit_v it_o to_o be_v but_o vi_fw-mi perch_n as_o may_v be_v prove_v by_o this_o figure_n a._n b._n c._n d._n e._n f._n g._n h._n i._n the_o prick_v square_a a._n b._n c._n d._n in_o this_o figure_n be_v equal_a to_o the_o other_o figure_n a._n b._n c._n d._n and_o e._n f._n c._n d._n in_o this_o figure_n be_v equal_a to_o the_o other_o figure_n e._n f._n g._n h._n and_o the_o two_o triangle_n e._n g._n c._n and_o h._n f._n d._n which_o be_v parcel_n of_o the_o figure_n e._n f._n c._n d._n be_v equal_a the_o one_o to_o the_o other_o the_o prick_a triangle_n f._n i._n d._n be_v equal_a to_o the_o triangle_n h._n f._n d._n therefore_o the_o square_a h._n f._n i._n d._n be_v equal_a to_o the_o two_o triangle_n e._n g._n c._n and_o h._n f_o d._n therefore_o also_o the_o figure_n g._n f._n i._n c._n be_v equal_a to_o the_o figure_n e._n f._n d._n c._n the_o figure_n g._n f._n i._n c._n be_v xvi_o perch_n and_o a_o half_a in_o length_n and_o four_o in_o breadth_n which_o make_v v._o s._n vi_o d._n but_o the_o figure_n a._n b._n c._n d._n be_v twelve_o in_o length_n and_o six_o in_o breadth_n come_v to_o vi_fw-la s._n therefore_o the_o figure_n e._n f._n c_o d._n be_v less_o than_o the_o figure_n a._n b._n c._n d._n by_o vi_fw-la perch_n so_o that_o by_o your_o way_n of_o measure_v you_o make_v that_o viij_o s._n iii._o d._n which_o shall_v be_v but_o v._o s._n vi_o d._n which_o be_v all_o one_o reckon_v as_o if_o you_o make_v that_o three_o acre_n which_o in_o troth_n be_v but_o two_o for_o viij_o s._n iii._o d._n be_v equal_a to_o v._o s._n vi_o d._n and_o to_o the_o half_a thereof_o which_o be_v two_o s._n ix_o d._n those_o two_o sum_n cast_v into_o one_o make_v viij_o s._n iii._o d._n you_o say_v if_o the_o side_n of_o xxi_o perch_n in_o length_n have_v be_v xxiiii_o that_o then_o it_o have_v be_v double_a to_o that_o of_o twelve_o and_o you_o suppose_v that_o a_o ground_n so_o side_v will_v be_v great_a than_o that_o who_o side_n be_v xxi_o wherein_o you_o be_v great_o deceive_v it_o be_v impossible_a to_o include_v any_o superfice_n or_o quantity_n of_o ground_n within_o a_o close_o have_v either_o of_o the_o head_n vi_fw-la perch_n the_o one_o side_n twelve_o and_o the_o other_o xxiiii_o for_o the_o two_o head_n vi_o and_o vi_fw-la and_o the_o side_n twelve_o cast_v into_o one_o sum_n make_v but_o xxiiii_o therefore_o the_o side_n xxiiii_o lay_v unto_o they_o drive_v the_o other_o iiii_o side_n to_o a_o straight_a line_n not_o suffer_v they_o to_o make_v any_o angle_n so_o that_o they_o be_v as_o it_o be_v two_o straight_a hedge_n the_o one_o stand_v upon_o the_o other_o not_o include_v any_o quantity_n of_o ground_n two_o right_a line_n can_v include_v a_o superfice_n by_o the_o sixth_o petition_n of_o the_o first_o of_o euclides_n element_n the_o close_a a._n b._n c._n d._n have_v all_o his_o angle_n right_a be_v great_a than_o any_o other_o close_o can_v be_v if_o any_o one_o side_n of_o his_o length_n be_v make_v more_o than_o twelve_o for_o the_o obtusenes_n or_o declination_n of_o angle_n diminish_v quantity_n of_o ground_n as_o you_o have_v see_v by_o the_o other_o figure_n and_o more_o plain_o may_v see_v by_o this_o figure_n m._n n._n o._n p._n which_o have_v three_o of_o his_o side_n equal_a to_o three_o side_n of_o the_o figure_n a._n b._n c._n d._n but_o the_o four_o side_n be_v xxiii_o perch_n and_o a_o half_a measurers_n ignorant_a of_o geometry_n commit_v the_o like_a error_n in_o measure_v of_o triangular_a or_o three_o corner_a close_n most_o man_n think_v that_o a_o three_o corner_a close_n who_o side_n be_v thirty_o xl_o and_o lxv_o perch_n do_v contain_v more_o ground_n than_o a_o other_o three_o corner_a close_n who_o side_n be_v but_o thirty_o xl_o and_o l._n because_o the_o side_n lxv_o of_o the_o one_o figure_n be_v long_a than_o the_o side_n l._n of_o the_o other_o figure_n by_o xv_o perch_n but_o the_o long_o side_v close_o namely_o the_o triangle_n p._n q._n r._n be_v less_o than_o the_o triangle_n s_o t._n v._o by_o one_o acre_n half_o a_o rood_n and_o three_o perch_n for_o we_o t._n v._o the_o short_a side_v close_v contain_v three_o acre_n and_o three_o rood_n where_o the_o long_o side_v namely_o p._n q._n r._n contain_v but_o two_o acre_n and_o a_o half_a &_o xvii_o perch_n watkins_n i_o be_o now_o full_o resolve_v that_o they_o which_o measure_n with_o the_o pole_n or_o line_n if_o they_o be_v ignorant_a of_o angle_n do_v they_o know_v not_o what_o and_o that_o they_o great_o abuse_v they_o for_o who_o they_o deal_v johnson_n the_o world_n be_v merry_a before_o measuring_n be_v use_v than_o it_o have_v be_v since_o a_o tenant_n in_o these_o day_n must_v pay_v for_o every_o foot_n which_o be_v a_o extreme_a matter_n i_o know_v surveyor_n that_o use_v not_o measure_v when_o they_o make_v their_o suruey_v which_o fashion_n i_o like_v best_a worsop_n there_o 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after_o the_o common_a measuringe_v pay_n for_o more_o than_o they_o shall_v therefore_o if_o the_o tenant_n have_v true_a measure_n he_o may_v live_v merry_a than_o he_o do_v seeing_z most_o landlord_n covet_v to_o let_v their_o ground_n to_o the_o uttermost_a and_o most_o tenant_n seek_v to_o sell_v their_o ware_n at_o the_o hy_a price_n it_o be_v very_o requisite_a for_o both_o side_n that_o the_o land_n be_v true_o measure_v true_a measure_n be_v not_o extremity_n but_o good_a justice_n by_o the_o law_n of_o our_o realm_n and_o by_o common_a reason_n such_o like_a equality_n and_o troth_n of_o measure_n in_o landletting_n ought_v to_o be_v between_o lord_n and_o tenant_n as_o be_v between_o buyer_n and_o seller_n of_o cloth_n silk_n grain_n liquor_n stone_n timber_n or_o of_o any_o other_o commodity_n for_o which_o our_o statute_n have_v appoint_v standard_n and_o assize_n i_o know_v sundry_a honest_a gentleman_n professor_n of_o surueie_v that_o many_o time_n omit_v measure_v surueie_v consist_v upon_o three_o principal_a part_n that_o be_v to_o say_v the_o mathematical_a the_o legal_a and_o the_o judicial_a unto_o the_o mathematical_a part_n belong_v true_a measure_n which_o be_v geometry_n true_a calculation_n of_o the_o thing_n measure_v which_o be_v arithmetic_n and_o true_a plat_n and_o set_v forth_o of_o the_o same_o to_o the_o eye_n in_o proportion_n and_o symmetry_n which_o be_v perspective_n to_o the_o legal_a part_n belong_v the_o knowledge_n of_o keep_v court_n of_o surueie_v of_o the_o diversity_n of_o tenor_n rent_n and_o service_n likewise_o how_o to_o make_v terror_n rental_n particular_n suit_n roll_v customary_a roll_n &_o also_o how_o to_o engross_v book_n with_o many_o other_o thing_n appertain_v to_o that_o part_n as_o may_v appear_v in_o the_o statute_n call_v extenta_fw-la manerij_fw-la but_o more_o at_o large_a in_o the_o treatise_n of_o m._n fitzharbert_n and_o valentine_n leigh_n touch_v surueie_v the_o judicial_a part_n consist_v upon_o the_o consideration_n and_o knowledge_n of_o the_o fertility_n vesture_n situation_n for_o vent_n health_n somenesse_n commodiousness_n discommodiousnes_n and_o such_o like_a of_o every_o kind_n of_o ground_n building_n and_o increase_v in_o his_o own_o nature_n &_o kind_n some_o make_v apportionation_n &_o value_v a_o member_n of_o this_o part_n other_o think_v they_o more_o worthy_a the_o name_n of_o a_o principal_a i_o suppose_v they_o to_o be_v in_o common_a to_o all_o the_o three_o part_n it_o be_v impossible_a for_o a_o surveyor_n to_o make_v a_o true_a value_n of_o land_n except_o he_o first_o know_v the_o tenure_n rent_n custon_n &_o service_n to_o
and_o xl_o worsop_n how_o many_o time_n be_v c_o c_o lxxii_o and_o a_o quarter_n contain_v in_o xxiii_o thousand_o and_o xl_o peter_n four_o score_n and_o four_o time_n and_o a_o half_a xxxiiii_o foot_n and_o seven_o part_n of_o a_o foot_n the_o foot_n be_v divide_v into_o eight_o part_n worsop_n you_o know_v that_o those_o lxxx_o and_o iiii_o time_n be_v so_o many_o statute_n perch_v peter_n we_o do_v so_o worsop_n how_o much_o money_n be_v lxxx_o and_o iiii_o peny_n johnson_n vii_n s._n worsop_n you_o see_v by_o your_o own_o reckon_n that_o if_o the_o acre_n measure_v by_o the_o twelve_o foot_n perch_n do_v make_v lxxx_o and_o v._o statute_n perch_v as_o you_o see_v it_o do_v not_o full_o that_o your_o rent_n can_v be_v but_o seven_o s._n and_o a_o penny_n after_o the_o rate_n of_o xiii_o s._n iiii_o d._n for_o the_o statute_n acre_n ihonson_n it_o be_v most_o true_a watkins_n these_o reckon_n and_o profess_v be_v very_o fine_o ready_o and_o plain_o contrive_v till_o now_o i_o never_o hear_v ground_n cast_v up_o to_o half_a a_o quarter_n of_o a_o foot_n and_o so_o plain_o prove_v to_o every_o man_n his_o understanding_n and_o yet_o i_o have_v hear_v that_o some_o will_v not_o miss_v a_o inch_n of_o ground_n when_o they_o measure_v worsop_n it_o be_v a_o small_a matter_n for_o one_o to_o cast_v up_o any_o measure_n that_o he_o have_v make_v within_o less_o than_o a_o inch_n but_o to_o measure_v exact_o within_o less_o than_o a_o inch_n be_v a_o great_a matter_n than_o i_o ever_o know_v any_o will_v take_v upon_o he_o to_o do_v for_o albeit_o the_o art_n do_v exact_o teach_v the_o way_n yet_o be_v we_o not_o able_a such_o be_v our_o imperfection_n true_o to_o execute_v the_o same_o and_o where_o you_o think_v that_o this_o account_n have_v be_v fine_o and_o ready_o cast_v up_o you_o much_o mistake_v it_o for_o it_o have_v be_v very_o gross_o do_v the_o five_o way_n be_v do_v by_o arithmetic_n i_o will_v by_o arithmetic_n do_v more_o in_o a_o line_n then_o thus_o in_o a_o leaf_n and_o in_o the_o space_n of_o two_o minute_n which_o this_o way_n can_v skant_o be_v do_v in_o half_a a_o hour_n he_o that_o be_v a_o good_a auditor_n will_v quick_o cast_v such_o a_o reckon_n with_o his_o counter_n but_o because_o neither_o time_n nor_o place_n will_v permit_v i_o to_o use_v any_o of_o those_o mean_n i_o be_v force_v to_o prove_v this_o in_o such_o sort_n as_o every_o of_o you_o may_v best_o understand_v i_o watkins_n i_o think_v i_o understande_v what_o you_o mean_v by_o these_o word_n square_a foot_n square_a perch_n but_o yet_o make_v further_a explanation_n of_o they_o i_o pray_v you_o worsop_n that_o figure_n be_v call_v a_o square_a which_o have_v all_o his_o iiii_o angle_n right_a angle_n every_o plain_a or_o superfice_v bound_v with_o iiii_o side_n have_v iiii_o angle_n or_o corner_n as_o you_o may_v perceive_v by_o these_o figure_n a._n b._n c._n d._n you_o may_v try_v by_o the_o scale_n of_o ten_o that_o every_o side_n of_o the_o figure_n a._n and_o b._n be_v xx_o in_o length_n and_o every_o line_n be_v a_o straight_a line_n and_o yet_o the_o one_o figure_n be_v great_a than_o the_o other_o the_o figure_n a._n be_v the_o great_a because_o it_o be_v a_o square_a figure_n and_o the_o figure_n b._n be_v much_o less_o than_o the_o figure_n a._n because_o it_o lie_v not_o in_o square_a form_n like_o wise_a the_o figure_n c._n be_v a_o long_a square_n and_o therefore_o much_o great_a than_o the_o figure_n d._n which_o lie_v not_o square_a and_o yet_o the_o side_n of_o the_o one_o be_v equal_a to_o the_o side_n of_o the_o other_o three_o kind_n of_o angle_n be_v to_o be_v consider_v of_o by_o landmeater_n namely_o the_o right_a angle_n the_o obtuse_a angle_n and_o the_o sharp_a angle_n it_o can_v not_o be_v say_v that_o any_o figure_n or_o close_o lie_v square_a except_o his_o corner_n be_v find_v right_a angle_n who_o so_o be_v ignorant_a of_o certain_a peculiar_a property_n and_o condition_n appertain_v to_o these_o 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that_o way_n be_v not_o true_a but_o where_o the_o corner_n of_o the_o close_o be_v right_a angle_n and_o the_o hedge_n straight_o you_o shall_v not_o find_v one_o close_a amongst_o a_o hundred_o to_o lie_v in_o that_o sort_n the_o measurers_n eye_n be_v not_o able_a to_o judge_v exact_o whether_o ground_n lie_v square_a though_o he_o have_v great_a experience_n and_o good_a art_n if_o he_o have_v not_o some_o geometrical_a instrument_n to_o direct_v he_o if_o a_o ground_n of_o four_o side_n have_v not_o at_o least_o two_o right_a angle_n it_o may_v not_o be_v cast_v up_o by_o lay_v head_n to_o head_n for_o that_o kind_n of_o cast_v will_v produce_v a_o false_a content_n tell_v i_o i_o pray_v you_o how_o many_o acre_n a_o close_a of_o four_o side_n contain_v if_o every_o side_n be_v just_a xl_o perch_n in_o length_n johnson_n forty_o time_n forty_o penny_n be_v xx_o noble_n and_o xx_o noble_n be_v ten_o acre_n worsop_n this_o be_v a_o true_a content_n if_o the_o close_a lie_n in_o 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of_o geometry_n the_o great_a number_n of_o measurer_n make_v their_o measure_n by_o lay_v head_n to_o head_n and_o side_n to_o side_n as_o though_o all_o close_n lay_v in_o right_a angle_n by_o which_o do_v i_o may_v compare_v they_o to_o a_o shoemaker_n that_o have_v two_o or_o three_o hundred_o pair_n of_o shoe_n in_o his_o shop_n make_v all_o upon_o one_o pair_n of_o last_n for_o some_o foot_n his_o shoe_n must_v needs_o be_v too_o large_a for_o other_o too_o little_a for_o some_o by_o chance_n they_o may_v be_v fit_n suppose_v there_o be_v a_o square_n close_a have_v either_o of_o his_o side_n twelve_o perch_n long_o and_o either_o of_o his_o head_n vi_o perch_n broad_a like_o to_o the_o figure_n a._n b._n c._n d._n how_o much_o ground_n do_v such_o a_o close_o contain_v peter_n six_o twelve_o time_n be_v lxxii_o that_o be_v vi_fw-la s._n if_o it_o be_v viij_o perch_n more_o it_o be_v half_o a_o acre_n worsop_n suppose_v there_o be_v a_o other_o close_o the_o one_o side_n whereof_o be_v xxi_o perch_n long_o the_o other_o but_o twelve_o and_o either_o of_o the_o heade●●●_n perch_v broad_a lie_v in_o fashion_n like_o to_o the_o figure_n e._n f._n g._n h._n how_o much_o do_v such_o a_o close_o contain_v johnson_n xxi_n and_o twelve_o add_v together_o make_v xxxiii_o the_o half_a thereof_o be_v xvi_o perch_n and_o a_o half_a these_o xvi_o and_o a_o half_a i_o take_v for_o the_o length_n &_o take_v vi_fw-la for_o the_o breadth_n i_o find_v that_o xvi_o d._n ob_fw-la six_o time_n be_v viij_o s._n iii._o d._n which_o represent_v half_o a_o acre_n and_o nineteeen_o perch_n if_o it_o be_v but_o one_o perch_n more_o it_o be_v half_o a_o acre_n and_o half_o a_o rood_n i_o see_v that_o three_o side_n of_o the_o one_o figure_n be_v equal_a to_o three_o side_n of_o the_o other_o and_o that_o their_o difference_n be_v only_o in_o one_o side_n for_o the_o head_n a._n c._n and_o b._n d._n of_o the_o one_o figure_n be_v equal_a to_o the_o head_n e._n h_o and_o f._n g_o of_o the_o other_o figure_n and_o the_o side_n c._n d._n be_v equal_a to_o the_o side_n h._n g._n but_o the_o side_n e._n f._n be_v long_o than_o the_o side_n a._n b._n by_o ix_o perch_n for_o the_o one_o be_v xxi_o and_o the_o other_o but_o twelve_o therefore_o the_o long_o side_v close_o contain_v more_o ground_n than_o the_o short_a by_o half_a a_o rood_n and_o seven_o perch_n for_o if_o you_o take_v lxxii_o perch_n the_o content_a of_o the_o figure_n a._n b._n c._n d._n from_o four_o score_n and_o nineteeen_o the_o content_a of_o the_o figure_n e._n f._n g._n h._n there_o will_v remain_v xxvii_o perch_n which_o be_v half_a a_o rood_n and_o seven_o perch_n you_o see_v before_o your_o eye_n that_o the_o figure_n e._n f._n g._n h._n be_v on_o the_o one_o side_n almost_o as_o long_o again_o as_o the_o figure_n a._n b._n c._n d._n if_o it_o be_v three_o perch_n long_o it_o be_v full_a twice_o so_o long_o as_o the_o other_o worsop_n measurers_n ignorant_a of_o geometry_n deliver_v up_o such_o content_n sundry_a buyer_n partner_n exchanger_n lessee_n and_o taker_n of_o land_n as_o ignorant_a as_o they_o content_v themselves_o with_o such_o measure_n when_o the_o blind_a lead_v the_o blind_a they_o fall_v both_o into_o the_o ditch_n you_o have_v great_a respect_n how_o much_o the_o close_a e._n f._n g._n h._n be_v long_o than_o the_o close_a a._n b._n c._n d._n but_o you_o respect_v not_o how_o much_o the_o say_v close_a a._n b._n c._n d._n be_v broad_a than_o the_o other_o the_o short_a close_a a._n b._n c._n d_o by_o reason_n of_o his_o