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
A64224	Thesaurarium mathematicae, or, The treasury of mathematicks containing variety of usefull practices in arithmetick, geometry, trigonometry, astronomy, geography, navigation and surveying ... to which is annexed a table of 10000 logarithms, log-sines, and log-tangents / by John Taylor.	Taylor, John, mathematician.	1687 (1687)	Wing T534; ESTC R23734	190,995	514

observation_n take_v according_a to_o the_o doctrine_n of_o the_o last_o proposition_n upon_o your_o paper_n draw_v a_o straight_a line_n as_o cd_o make_v it_o 5_o chain_n 97_o 100_o take_v cb_n in_o your_o compass_n and_o strike_v a_o obscure_a arch_n then_o take_v bd_o and_o with_o that_o extent_n in_o d_o cross_z the_o former_a 58._o arch_n in_o b_o and_o draw_z bc_n and_o bd._n then_o take_v in_o your_o compass_n be_v and_o on_o b_o strike_v a_o obscure_a arch_n then_o take_v de_fw-fr and_o also_o cross_v the_o former_a arch_n in_o e_o and_o draw_z be_v and_o ed._n last_o take_v the_o line_n ca_n and_o on_o c_o strike_v a_o obscure_a arch_n then_o take_v ab_fw-la and_o on_o b_o intersect_v 58._o the_o former_a arch_n in_o a_o then_o draw_v ca_n and_o ab_fw-la so_o have_v you_o on_o your_o paper_n the_o exact_a figure_n of_o the_o field_n a_o b_o c_o d_o e_o as_o be_v require_v sect_n iii_o of_o find_v the_o area_n or_o superficial_a content_n of_o any_o field_n lie_v in_o any_o regular_a or_o irregular_a form_n by_o reduce_v the_o irregular_a field_n into_o regular_a form_n have_v already_o show_v how_o to_o take_v the_o plot_n of_o any_o field_n divers_a way_n by_o the_o semicircle_n and_o chain_n and_o also_o by_o the_o protractor_n how_o to_o delineate_v the_o draught_n thereof_o on_o paper_n etc._n etc._n i_o now_o come_v to_o show_v how_o the_o area_n or_o superficial_a content_n of_o a_o field_n may_v be_v attain_v i._n e._n how_o many_o acre_n rood_n and_o perch_n be_v therein_o contain_v to_o which_o end_n know_v that_o a_o statute_n pole_n or_o perch_n contain_v 16½_n foot_n that_o 40_o of_o those_o perch_n in_o length_n and_o 4_o in_o breadth_n make_v a_o acre_n so_o that_o a_o acre_n contain_v 160_o perch_n and_o a_o rood_n 40_o perch_n according_a to_o the_o statute_n 33_o of_o edward_n the_o first_o now_o the_o original_a of_o the_o mensuration_n of_o land_n and_o all_o other_o superficies_n depend_v on_o the_o mensuration_n of_o certain_a geometrical_a figure_n as_o a_o triangle_n square_n etc._n etc._n which_o may_v be_v measure_v according_a to_o the_o direction_n of_o of_o 2._o chap._n 4_o of_o geometry_n it_o will_v therefore_o here_o be_v superfluous_a to_o make_v a_o repetition_n of_o thing_n already_o handle_v i_o shall_v therefore_o omit_v it_o and_o come_v to_o show_v how_o any_o field_n lie_v in_o any_o irregular_a form_n may_v be_v measure_v by_o convert_v it_o into_o regular_a figure_n for_o it_o seldom_o happen_v but_o that_o the_o plot_n of_o a_o field_n be_v either_o a_o trapezium_fw-la equal_a 94._o or_o a_o many-sided_n irregular_a figure_n therefore_o i_o shall_v first_o show_v how_o to_o find_v the_o content_a of_o a_o trapezium_fw-la second_o of_o any_o many_o side_v irregular_a figure_n and_o three_o how_o to_o reduce_v any_o number_n of_o perch_n into_o acre_n etc._n etc._n and_o on_o the_o contrary_a any_o number_n of_o acre_n into_o rood_n and_o perch_n prop._n i._n how_o to_o find_v the_o area_n or_o superficial_a content_n of_o a_o trapezium_fw-la trapezium_n be_v quadrangle_v of_o sundry_a form_n yet_o take_v this_o as_o a_o general_a rule_n whereby_o their_o content_n may_v be_v find_v admit_v it_o be_v require_v to_o find_v the_o area_n or_o superficial_a content_n of_o the_o trapezium_fw-la abcd_n to_o find_v which_o first_o by_o draw_v the_o diagonal_a ad_fw-la you_o reduce_v it_o into_o two_o triangle_n abdella_n and_o adc_a then_o by_o prop._n 3_o 3_o 1._o of_o chap._n 4_o let_v fall_v the_o two_o perpendicular_o on_o ad_fw-la from_o b_o and_o c_o then_o by_o prop_n 3_o 3_o 2_o ch._n 59_o 4._o find_v the_o superficial_a content_n of_o the_o two_o trianangle_v abdella_n and_o adc_n which_o add_v together_o be_v the_o content_a os_fw-la the_o trapezium_fw-la by_o which_o rule_n the_o content_a of_o the_o trapezium_fw-la a_o b_o c_o d_o be_v find_v to_o be_v 630_o perch_n prop._n ii_o to_o find_v the_o area_n or_o superficial_a content_n of_o a_o many-sided_n irregular_a figure_n admit_v a_o b_o c_o d_o e_o f_o g_o to_o be_v a_o irregular_a many-sided_n figure_n represent_v a_o field_n who_o content_a be_v require_v now_o in_o regard_n the_o field_n be_v irregular_a therefore_o reduce_v it_o into_o triangle_n viz._n abc_n acg_n edg_n deg_n and_o dfg_v and_o 60._o then_o find_v the_o content_a of_o all_o the_o say_a triangle_n by_o prop._n 3_o 3_o 2._o chap._n 4_o and_o add_v their_o content_n together_o so_o shall_v that_o sum_n be_v the_o content_a of_o the_o say_a figure_n and_o so_o do_v for_o any_o other_o prop._n iii_o how_o to_o reduce_v any_o number_n of_o perch_n into_o acre_n and_o on_o the_o contrary_a acre_n into_o perch_n to_o find_v how_o many_o acre_n be_v contain_v in_o any_o number_n of_o perch_n give_v you_o must_v consider_v that_o 160_o perch_n do_v make_v a_o statute_n acre_n therefore_o if_o you_o divide_v the_o number_n of_o perch_n propound_v by_o 160_o the_o quotient_n be_v the_o number_n of_o acre_n contain_v therein_o and_o if_o there_o be_v a_o remainder_n which_o exceed_v 40_o then_o divide_v it_o by_o 40_o the_o quotient_n shall_v be_v rood_n and_o the_o remainder_n perch_v but_o on_o the_o contrary_a if_o it_o be_v require_v to_o find_v how_o many_o perch_n be_v contain_v in_o a_o certain_a number_n of_o acre_n propound_v you_o must_v multiply_v the_o number_n of_o acre_n by_o 160_o the_o product_n shall_v be_v the_o perch_v contain_v therein_o it_o may_v be_v here_o expect_v that_o i_o shall_v show_v how_o to_o reduce_v customary_a measure_n to_o statute_n measure_n and_o also_o that_o i_o shall_v treat_v of_o the_o division_n and_o separation_n of_o land_n but_o because_o mr._n rathborne_n and_o of_o late_a mr._n holwell_n have_v sufficient_o explain_v the_o same_o by_o many_o variety_n i_o shall_v for_o brevity_n sake_n omit_v it_o and_o leave_v you_o to_o consult_v those_o author_n sect_n iv._o of_o the_o use_n of_o the_o semicircle_n in_o take_v altitude_n distance_n etc._n etc._n prop._n i._n how_o by_o the_o semicircle_n to_o take_v a_o accessible_a altitude_n admit_v ab_fw-la be_v the_o height_n of_o a_o tower_n which_o be_v require_v to_o be_v know_v first_o place_v your_o semicircle_n at_o d_o with_o the_o arch_n downward_o 61._o and_o the_o two_o sight_n fix_v place_v it_o horizontal_n horizontal_n and_o screw_v it_o fast_o then_o move_v your_o index_n till_o through_o the_o sight_n thereof_o you_o espy_v the_o top_n of_o the_o tower_n at_o b_o and_o observe_v what_o degree_n the_o low_a part_n of_o the_o index_n cut_v and_o that_o will_v be_v equal_a unto_o the_o angle_n at_o d_o 50_o deg_n then_o measure_v the_o distance_n dam_fw-ge which_o let_v be_v 299_o foot_n now_o the_o height_n of_o the_o tower_n ab_fw-la be_v find_v according_a to_o prop._n 1._o 1._o 2._o chap._n 5._o thus_o as_o sc._n v._o at_o a_o 50°_n 00_o 00_o to_o log._n cr_n dam_fw-la 299_o foot_n so_o be_v s._n v._o at_o a_o 50_o 00_o to_o log._n ab_fw-la 356_o 3_o 10_o foot_n the_o height_n of_o the_o tower_n ab_fw-la require_v prop._n ii_o how_o by_o the_o semicircle_n to_o take_v a_o inaccessible_a altitude_n at_o two_o station_n let_v ab_fw-la be_v a_o tower_n who_o height_n be_v require_v have_v place_v your_o instrument_n at_o e_o as_o before_o direct_v your_o sight_n unto_o the_o top_n of_o the_o tower_n at_o b_o and_o find_v the_o degree_n cut_v by_o the_o index_n 61._o to_o be_v 23°_n 43_o 43_o i_o say_v it_o be_v the_o quantity_n of_o the_o angle_n at_o e_o now_o by_o reason_n of_o water_n or_o such_o like_a impediment_n you_o can_v approach_v no_o near_o the_o base_a of_o the_o tower_n than_z d_o therefore_o measure_n ed_z which_o be_v find_v to_o be_v 512_o foot_n then_o at_o d_o make_v the_o like_a observation_n and_o the_o angle_n at_o d_o appear_z to_o be_v 50°_n 00_o 00_o who_o compliment_n be_v the_o angle_n dba_n 40°_n 00_o 00_o and_o the_o compliment_n of_o the_o angle_n e_o 23°_n 43_o 43_o be_v the_o angle_n eba_n 66°_n 17_o 17_o now_o if_o the_o lesser_a angle_n at_o b_o be_v take_v out_o of_o the_o great_a the_o remainder_n be_v 26°_n 17_o 17_o the_o angle_n ebb_v now_o first_o to_o find_v the_o side_n bd_o of_o the_o trangle_v ebb_v say_v according_a to_o prop._n 1._o 1._o 3._o chap._n 5._o thus_o as_o s._n of_o v._o ebb_v 26°_n 17_o 17_o to_o log._n cr_n ed_z 512_o foot_n so_o be_v s._n of_o v._o at_o e_o 23°_n 43_o 43_o to_o log._n cr_n bd_o 465_o 2_o 10_o foot_n require_v now_o to_o find_v the_o height_n of_o the_o tower_n ab_fw-la say_v according_a to_o prop._n 2._o 2._o 2._o chap._n 5._o thus_o as_o radius_fw-la or_o s._n 90°_n to_o log._n cr_n db_n 465_o 2_o 10_o foot_n find_v so_o be_v s._n of_o v._o bda_n 50°_n