Selected quad for the lemma: ground_n
Text snippets containing the quad
ID |
Title |
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Corrected Date of Publication (TCP Date of Publication) |
STC |
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Pages |
A39015
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An Excellent introduction to architecture being a book of geometrical practice, which is the first degree of all arts : wherein is contained variety of examples of that admirable science ...
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1679
(1679)
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Wing E3801; ESTC R40565
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16,859
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19
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hereof_o may_v take_v each_o piece_n and_o alter_v it_o into_o a_o quadrangle_n and_o after_o into_o a_o quadrate_n as_o hereafter_o shall_v be_v show_v and_o he_o shall_v find_v it_o true_a a_o architector_n must_v also_o undergo_v other_o burden_n for_o that_o he_o must_v know_v how_o to_o divide_v a_o piece_n of_o ground_n that_o no_o man_n may_v be_v hinder_v thereby_o as_o for_o example_n if_o there_o be_v a_o piece_n of_o ground_n that_o lie_v three-cornered_a wise_n with_o unequal_a part_n have_v on_o the_o one_o side_n thereof_o a_o well_o but_o not_o in_o the_o middle_n and_o this_o ground_n or_o three-cornered_a piece_n of_o land_n be_v to_o be_v divide_v into_o two_o equal_a part_n in_o such_o sort_n that_o each_o of_o they_o may_v have_v the_o use_n of_o the_o well_o it_o must_v be_v do_v in_o this_o manner_n i_o make_v a_o triangle_n mark_v a._n b._n c._n and_o the_o well_o be_v mark_v with_o g._n now_o divide_v the_o line_n b._n c._n with_o a_o dark_a line_n in_o the_o two_o equal_a part_n as_o the_o letter_n d._n show_v and_o then_o draw_v a_o line_n from_o d._n to_o a._n then_o the_o triangle_n be_v divide_v into_o two_o equal_a part_n but_o both_o of_o they_o can_v yet_o come_v to_o the_o well_o then_o draw_v another_o line_n from_o the_o well_o g._n to_o a._n and_o from_o the_o point_n d._n you_o must_v set_v a_o equidistancie_n against_o g._n a._n mark_v with_o e._n and_o draw_v from_o g._n which_o be_v the_o well_o the_o black_a line_n to_o the_o letter_n e_o it_o will_v divide_v the_o ground_n in_o two_o even_o several_a part_n and_o each_o of_o they_o shall_v have_v the_o well_o at_o the_o end_n of_o his_o ground_n for_o that_o part_n a._n b._n g._n e._n contain_v in_o it_o just_a as_o many_o foot_n or_o rood_n as_o that_o part_n which_o be_v mark_v g._n e._n c._n i_o show_v before_o how_o a_o man_n shall_v make_v a_o four_o square_a superficies_n once_o as_o great_a again_o as_o it_o be_v but_o it_o may_v fall_v out_o that_o a_o man_n be_v to_o make_v it_o but_o half_a as_o great_a again_o or_o more_o or_o less_o as_o he_o think_v good_a or_o as_o occasion_n serve_v which_o the_o architector_n be_v also_o to_o learn_v of_o necessity_n which_o to_o show_v i_o set_v down_o a_o right_a four_o square_a thing_n mark_v a._n b_o c_o d_o which_o i_o will_v have_v three_o quarter_n great_a the_o same_o three_o quarter_n i_o set_v by_o the_o side_n thereof_o so_o that_o the_o same_o with_o the_o quadrate_n together_o make_v a_o quadrangle_n a._n e._n c._n g._n to_o bring_v this_o quadrangle_n into_o a_o right_a quadrate_n you_o must_v lengthen_v the_o line_n a._n e._n yet_o a_o quarter_n long_o or_o from_o the_o side_n of_o the_o quadrangle_n e._n g_o and_o place_z f._n there_o then_o upon_o the_o line_n a._n f._n make_v half_o a_o circle_n which_o line_n will_v show_v you_o the_o one_o side_n of_o the_o quadrate_n which_o you_o seek_v for_o which_o quadrate_n be_v make_v will_v contain_v as_o much_o in_o it_o as_o the_o quadrangle_n already_o make_v and_o in_o this_o manner_n you_o may_v change_v all_o quadrangle_v which_o be_v long_o four_o cornered_a piece_n of_o work_n into_o a_o just_a and_o true_a quadrate_n now_o to_o prove_v that_o which_o i_o say_v before_o you_o must_v join_v the_o quadrangle_n with_o the_o quadrate_n together_o in_o one_o square_a superficie_fw-la as_o q._n r._n s._n t._n and_o from_o the_o corner_n r._n to_o the_o corner_n s._n draw_v a_o diagonus_n and_o it_o be_v certain_a that_o that_o diagonus_n will_v make_v two_o even_a part_n now_o euclides_n say_v that_o when_o a_o man_n take_v any_o even_a part_n from_o even_a part_n the_o rest_n of_o the_o part_n also_o remain_v alike_o then_o take_v the_o triangle_n k._n l._n and_o the_o triangle_n m._n n._n which_o be_v both_o alike_o the_o right_a four_o cornered_a superficie_fw-la p._n be_v of_o the_o same_o greatness_n that_o the_o long_a superficie_fw-la o_fw-la be_v again_o you_o may_v easy_o change_v a_o quadrate_n into_o a_o quadrangle_n as_o long_o or_o as_o narrow_a as_o you_o desire_v to_o have_v it_o do_v thus_o make_v your_o quadrate_n a._n b._n c._n d_o and_o lengthen_v your_o line_n a._n b._n and_o the_o line_n b._n c._n which_o do_v then_o set_v the_o length_n of_o the_o quadrangle_n which_o you_o desire_v to_o have_v upon_o the_o line_n a._n g._n then_o from_o the_o point_n g._n draw_v a_o line_n alone_o by_o the_o corner_n of_o the_o quadrate_n d._n to_o the_o line_n c._n f._n and_o there_o you_o find_v the_o short_a line_n of_o the_o quadrangle_n and_o so_o to_o the_o contrary_a you_o shall_v by_o the_o least_o side_n of_o the_o quadrangle_n find_v the_o long_a also_o as_o you_o may_v also_o prove_v by_o the_o aforesaid_a figure_n for_o when_o you_o take_v away_o the_o triangle_n m._n n._n and_o o._n p._n which_o be_v both_o alike_o then_o the_o two_o part_n which_o be_v k._n l._n be_v also_o alike_o a_o architector_n may_v by_o chance_n have_v a_o piece_n of_o work_n of_o divers_a unequal_a 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i_o mean_v all_o with_o right_a corner_n take_v they_o out_o also_o but_o if_o you_o can_v find_v no_o more_o in_o it_o then_o make_v triangle_n also_o as_o big_a as_o ââu_n can_v of_o which_o triangle_n as_o you_o be_v teach_v before_o you_o may_v make_v quadrangle_v and_o let_v every_o piece_n several_o be_v mark_v with_o character_n as_o in_o the_o figure_n follow_v may_v be_v see_v let_v by_o example_n your_o many_o cornered_a figures_n first_o be_v mark_v with_o the_o great_a quadrangle_n with_o these_o letter_n a._n b._n c._n d._n and_o then_o with_o a_o less_o quadrangle_n as_o e._n f._n g._n h._n the_o rest_n be_v all_o triangle_n now_o set_v the_o great_a quadrangle_n l._n in_o a_o place_n by_o itself_o and_o then_o the_o other_o mark_v with_o m._n which_o set_v upon_o it_o that_o the_o two_o corner_n or_o side_n may_v be_v alike_o which_o do_v lengthen_v the_o line_n e._n f._n and_o the_o line_n e._n g._n and_o where_o they_o stay_v or_o touch_v under_o the_o great_a 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t._n s_o both_o mark_v with_o n._n so_o that_o the_o quadrangle_n a._n c._n s._n t._n contain_v three_o quadrangle_v l._n m._n n._n and_o as_o many_o more_o as_o there_o be_v you_o may_v in_o this_o sort_n bring_v they_o all_o in_o one_o quadrangle_n if_o there_o fall_v out_o any_o crooked_a line_n the_o skilful_a architector_n or_o workman_n may_v almost_o bring_v they_o into_o a_o square_a and_o those_o quadrangle_v if_o need_v be_v may_v also_o be_v reduce_v into_o perfect_a four_o square_n as_o aforesaid_a when_o a_o man_n have_v a_o line_n or_o other_o thing_n of_o unequal_a part_n and_o there_o be_v also_o another_o long_a