Selected quad for the lemma: ground_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
ground_n	erect_v	line_n	plain_a	2,288	5	10.8979	5	true

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A10541	The pathvvay to knowledg containing the first principles of geometrie, as they may moste aptly be applied vnto practise, bothe for vse of instrumentes geometricall, and astronomicall and also for proiection of plattes in euerye kinde, and therefore much necessary for all sortes of men.	Record, Robert, 1510?-1558.	1551 (1551)	STC 20812; ESTC S115664	86,278	175

with_o my_o compass_n i_o take_v the_o length_n of_o a._n b._n and_o set_v the_o one_o foot_n of_o my_o compass_n in_o c_o and_o draw_v a_o arch_a line_n with_o the_o other_o foot_n likewaies_n i_o take_v the_o length_n of_o e._n f_o and_o set_v one_o foot_n in_o d_o and_o with_o the_o other_o foot_n i_o make_v a_o arch_a line_n cross_v the_o other_o arch_n and_o the_o prick_n of_o their_o meeting_n which_o be_v g._n shall_v be_v the_o third_o corner_n of_o the_o triangle_n for_o in_o all_o such_o kynde_n of_o work_v to_o make_v a_o tryangle_n if_o you_o have_v one_o line_n draw_v there_o remain_v nothing_o else_o but_o to_o find_v where_o the_o pitch_n of_o the_o third_o corner_n shall_v be_v for_o two_o of_o they_o must_v needs_o be_v at_o the_o two_o cande_n of_o the_o line_n that_o be_v draw_v the_o xiii_o conclusion_n if_o you_o have_v a_o line_n appoint_v and_o a_o point_n in_o it_o limit_v how_o you_o may_v make_v on_o it_o a_o right_a line_v angle_n equal_a to_o a_o other_o 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the_o one_o foot_n of_o the_o end_n in_o c_o and_o with_o the_o other_o i_o make_v a_o arch_n line_n nigh_o unto_o d_z afterward_o i_o set_v the_o compass_n again_o with_o one_o foot_n in_o b_o a_z and_z with_o the_o other_o foot_n i_o make_v a_o arch_n line_n across_o the_o first_o arch_n line_n in_o d_o and_o from_o the_o prick_n of_o their_o cross_n i_o draw_v two_o line_n one_o to_o b_o a_o and_o a_o other_o to_o c_o and_o so_o have_v i_o make_v the_o square_a quadrate_n that_o i_o intend_v the_o xv._o conclusion_n to_o make_v a_o likeiamme_n equal_a to_o a_o triangle_n appoint_v and_o that_o in_o a_o right_n line_v angle_n limit_v first_o from_o one_o of_o the_o angle_n of_o the_o triangle_n you_o shall_v draw_v a_o gemowe_a line_n which_o shall_v be_v a_o parallel_n to_o that_o side_n of_o the_o triangle_n on_o which_o you_o will_v make_v that_o likeiamme_n then_o on_o one_o end_n of_o the_o side_n of_o the_o triangle_n which_o lie_v against_o the_o gemowe_a line_n you_o shall_v 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one_o angle_n that_o be_v b._n a._n e._n like_v to_o d._n the_o angle_n that_o be_v limit_v and_o so_o have_v i_o my_o intent_n the_o prose_n of_o the_o equalnes_n of_o those_o two_o figure_n do_v depend_v of_o the_o xli_o proposition_n of_o euclides_n first_o book_n and_o be_v the_o xxxi_o proposition_n of_o this_o second_o book_n of_o theoremis_n which_o say_v that_o when_o a_o tryangle_n and_o a_o likeiamme_n be_v make_v between_o two_o self_n same_o gemow_n line_n and_o have_v their_o ground_n line_n of_o one_o length_n then_o be_v the_o likeiamme_n double_a to_o the_o triangle_n whereof_o it_o follow_v that_o if_o two_o such_o figure_n so_o draw_v differ_v in_o their_o ground_n line_n only_o so_o that_o the_o ground_n line_n of_o the_o likeiamme_n be_v but_o half_a the_o ground_n line_n of_o the_o triangle_n then_o be_v those_o two_o figure_n equal_a as_o you_o shall_v more_o at_o large_a perceive_v by_o the_o book_n of_o theoremis_n in_o the_o xxxi_o theorem_a the_o xvi_n conclusion_n to_o make_v a_o likeiamme_n equal_a to_o a_o triangle_n appoint_v accord_v to_o a_o angle_n limit_v and_o on_o a_o line_n also_o assign_v in_o the_o last_o conclusion_n the_o side_n of_o your_o likeiamme_n be_v leave_v to_o your_o liberty_n though_o you_o have_v a_o angle_n appoint_v now_o in_o this_o conclusion_n you_o be_v somewhat_o more_o restrain_v of_o liberty_n since_o the_o line_n be_v limit_v which_o must_v be_v the_o side_n of_o the_o likeiamme_n therefore_o thus_o shall_v you_o proceed_v first_o accord_v to_o the_o last_o conclusion_n make_v a_o likeiamme_n

be_v to_o say_v a_o triangle_n but_o then_o be_v there_o iij._o line_n and_o not_o only_o ij_o likewise_o may_v you_o say_v of_o d.e._n and_o f._n g_o which_o do_v make_v a_o platte_a form_n neither_o yet_o can_v they_o make_v any_o without_o help_n of_o two_o line_n more_o whereof_o the_o one_o must_v be_v draw_v from_o d._n to_o f_o and_o the_o other_o from_o e._n to_o g_z and_o then_o will_v it_o be_v a_o long_a square_n so_o then_o of_o two_o right_a line_n can_v be_v make_v no_o platte_a form_n but_o of_o ij_o crooked_a line_n be_v make_v a_o platte_a form_n as_o you_o see_v in_o the_o eye_n form_n and_o also_o of_o one_o right_a line_n &_o one_o crooked_a line_n may_v a_o platte_a form_n be_v make_v as_o the_o semicircle_n f._n doothesette_v forth_o certain_a common_a sentence_n manifest_v to_o sense_n and_o acknowledge_v of_o all_o man_n the_o first_o common_a sentence_n what_o so_o ever_o thing_n be_v equal_a to_o one_o other_o thing_n those_o same_o be_v equal_a between_o themselves_o example_n thereof_o you_o may_v take_v both_o in_o greatness_n and_o also_o in_o number_a first_o though_o it_o pertain_v not_o propre_o to_o geometry_n but_o to_o help_v the_o understand_v of_o the_o rule_n which_o may_v be_v wrought_v by_o both_o art_n thus_o may_v you_o perceive_v if_o the_o sum_n of_o monnye_n in_o my_o purse_n and_o the_o money_n in_o your_o purse_n be_v equal_a each_o of_o they_o to_o the_o money_n that_o any_o other_o man_n have_v then_o must_v needs_o your_o money_n and_o i_o be_v equal_a together_o likewise_o if_o any_o ij_o quantity_n as_o a_o and_o b_o be_v equal_a to_o a_o other_o as_o unto_o c_o then_o must_v needs_o a._n and_o b._n be_v equal_a each_o to_o other_o as_o a._n equal_a to_o b_o and_o b._n equal_a to_o a_o which_o thing_n the_o better_a to_o peceave_v turn_v these_o quantity_n into_o number_a so_o shall_v a._n and_o b._n make_v fixteene_v and_o c._n as_o many_o as_o you_o may_v perceive_v by_o multipli_v the_o number_a of_o 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equal_a part_n from_o unequal_a thing_n the_o remainer_n shall_v be_v unequal_a as_o because_o that_o a_o hundred_o and_o eight_o and_o forty_o be_v unequal_a if_o i_o take_v ten_o from_o they_o both_o there_o will_v remain_v nynetye_n and_o eight_o and_o thirty_o which_o be_v also_o unequal_a and_o likewise_o in_o quantity_n it_o be_v to_o be_v judge_v the_o fifte_n common_a sentence_n when_o even_o portion_n be_v add_v to_o unequalle_v thing_n those_o that_o amount_v shall_v be_v unequal_a so_o if_o you_o add_v twenty_o to_o fifty_o and_o like_o way_n to_o nynty_a you_o shall_v make_v seventy_o and_o a_o hundred_o and_o ten_o which_o be_v no_o less_o unequal_a than_o be_v fifty_o and_o nynty_a the_o syxt_v common_a sentence_n if_o two_o thing_n be_v double_a to_o any_o other_o those_o same_o two_o thing_n be_v equal_a together_o because_o a._n and_o b._n be_v each_o of_o they_o double_a to_o c_o therefore_o must_v a._n and_o b._n needs_o be_v equal_a together_o for_o as_o v._o time_n viij_o make_v xl_o which_o be_v double_a to_o iiij_o time_n five_o that_o be_v xx_o so_o iiij_o time_n x_o likewise_o be_v double_a to_o xx_o for_o it_o make_v forty_o and_o therefore_o must_v neade_n be_v equal_a to_o forty_o the_o seven_o common_a sentence_n if_o any_o two_o thing_n be_v the_o half_n of_o one_o other_o thing_n than_o be_v they_o two_o equal_v together_o so_o be_v d._n and_o c._n in_o the_o last_o example_n equal_a together_o because_o they_o be_v each_o of_o they_o the_o half_a of_o a._n other_o of_o b_o as_z their_o number_a declare_v the_o eight_o common_a sentence_n if_o any_o one_o quantitee_n be_v lay_v on_o a_o other_o and_o they_o agree_v so_o that_o the_o one_o excede_v not_o the_o other_o then_o be_v they_o equal_a together_o as_o if_o this_o figure_n a._n b._n c_o be_v lay_v on_o that_o other_o d._n e._n f_o so_o that_o a._n be_v lay_v to_o d_o b._n to_o e_z and_o c._n to_o f_o you_o shall_v see_v they_o agree_v in_o side_n exactlye_o and_o the_o one_o 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if_o they_o apply_v it_o to_o the_o matter_n or_o substance_n of_o thing_n as_o some_o do_v then_o be_v it_o most_o false_a for_o every_o compound_a thing_n be_v make_v of_o part_n of_o diverse_a matter_n and_o substance_n take_v for_o example_n a_o man_n a_o house_n a_o book_n and_o all_o other_o compound_v thing_n some_o understand_v it_o thus_o that_o the_o part_n all_o together_o can_v make_v none_o other_o form_n but_o that_o that_o the_o whole_a do_v show_v which_o be_v also_o false_a for_o i_o may_v make_v five_o hundred_o diverse_a figure_n of_o the_o part_n of_o some_o one_o figure_n as_o you_o shall_v better_o perceive_v in_o the_o three_o book_n and_o in_o the_o mean_a season_n take_v for_o a_o example_n this_o square_a figure_n follow_v a._n b._n c._n d_o which_o be_v divide_v but_o into_o two_o part_n and_o yet_o as_o youse_a i_o have_v make_v five_o figure_n more_o beside_o the_o first_o with_o only_a diverse_a join_v of_o those_o two_o part_n but_o of_o this_o shall_v i_o speak_v more_o large_o in_o a_o other_o place_n in_o the_o mean_a season_n content_v yourself_o with_o these_o principle_n which_o be_v certain_a of_o the_o chief_a ground_n whereon_o all_o demonstration_n mathematical_a be_v form_n of_o which_o though_o the_o most_o part_n seem_v so_o plain_a that_o no_o child_n do_v doubt_n of_o they_o think_v not_o therefore_o that_o the_o art_n unto_o which_o they_o serve_v be_v simple_a other_o childish_a but_o rather_o consider_v how_o certain_a the_o profess_v of_o that_o art_n be_v that_o have_v for_o his_o ground_n soche_v plain_a truth_n &_o as_o i_o may_v say_v such_o undowbtfull_a and_o