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Word A Word B Word C Word D Occurrence Frequency Band MI MI Band Prominent
truth_n great_a see_v word_n 4,006 5 3.7673 3 true
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ID Title Author Corrected Date of Publication (TCP Date of Publication) STC Words Pages
A52075 Answers upon several heads in philosophy first drawn up for the private satisfaction of some friends : now exposed to publick view and examination / by William Marshall, Dr. of physick of the colledge of physicians in London. Marshall, William, 17th cent. 1670 (1670) Wing M809A; ESTC R32413 109,293 264

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with_o it_o and_o so_o methinks_v may_v this_o be_v interpretable_a to_o wit_n subtle_o to_o contrive_v find_v out_o and_o order_n expedient_n ingenious_a help_n and_o advantage_n to_o condense_a free_a and_o open_a exhalation_n into_o a_o watery_a form_n with_o dispatch_n and_o expedite_o especial_o at_o any_o season_n or_o time_n of_o the_o year_n so_o as_o by_o this_o art_n out_o of_o the_o arrial_a vapour_n within_o a_o limit_a time_n to_o give_v any_o limit_a measure_n of_o water_n which_o reason_n can_v expect_v from_o art_n or_o without_o abjure_v and_o put_v off_o its_o own_o nature_n handsome_o make_v demand_v of_o and_o that_o this_o be_v the_o philosophy_n of_o nature_n appear_v in_o every_o day_n dew_n the_o trickle_a moisture_n hang_v on_o the_o chamber-side_n of_o the_o glass_n when_o the_o air_n be_v very_o sharp_a and_o full_a of_o a_o nitrous_a coldness_n without_o and_o we_o can_v right_o conceive_v the_o idea_n of_o that_o famous_o know_v and_o frequent_o mention_v 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angle_n be_v infinite_o divisible_a into_o less_o and_o less_o part_n and_o therefore_o must_v at_o last_o be_v less_o than_o the_o recto-convexe_a angle_n of_o contact_n if_o the_o recto-convexe_a angle_n of_o contact_n be_v a_o true_a angle_n have_v truth_n of_o quantity_n i_o answer_v after_o all_o possible_a division_n of_o a_o right-lined_n angle_v into_o part_n of_o its_o own_o kind_a i_o mean_v such_o as_o be_v make_v by_o right_a line_n the_o least_o part_n be_v still_o a_o right-lined_n angle_n than_o which_o the_o recto-convexe_a angle_n of_o contact_n be_v most_o fair_o demonstrate_v to_o be_v ever_o less_o i_o e._n the_o inclination_n of_o its_o side_n be_v eve●_n less_o and_o the_o convexe_a arch_n will_v still_o at_o the_o angle_n fall_v within_o so_o as_o true_o from_o thence_o may_v be_v infer_v that_o the_o recto-convexe_a angle_n of_o contact_n can_v never_o be_v either_o a_o right-lined_n angle_n or_o equal_a to_o it_o or_o great_a than_o a_o right-lined_a angle_n 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part_v one_o from_o another_o and_o not_o lie_v both_o in_o a_o right-line_n do_v make_v no_o inclination_n one_o to_o another_o and_o see_v the_o convexo-convexe_a angle_n of_o contact_n contain_v under_o two_o arch_n of_o equal_a curvature_n be_v dividable_a into_o two_o equal_a part_n by_o a_o common_a right-line_n tangent_fw-la to_o they_o both_o angle_v of_o contact_n and_o of_o both_o the_o recto-convexe_a angle_n of_o contact_n clear_o appear_v though_o the_o quantitativenes_n of_o every_o one_o of_o they_o be_v demonstrable_a to_o be_v less_o than_o the_o quantity_n of_o any_o the_o least_o right-lined_n angle_v whatsoever_o because_o right-line_n can_v contain_v a_o less_o angle_n than_o be_v agreeable_a to_o the_o inclination_n they_o possible_o can_v have_v one_o to_o another_o whereas_o in_o crooked_a line_n general_o these_o be_v the_o constant_a property_n of_o curvature_n though_o the_o angle_n of_o coincidence_n or_o curvature_n as_o we_o for_o method_n brevity_n and_o 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between_o the_o angle_n of_o curvature_n and_o two_o right_a right_n line_v angle_n can_v be_v a_o right-lined_n angle_n as_o in_o truth_n it_o can_v nor_o be_v in_o reason_n so_o to_o be_v expect_v but_o of_o necessity_n it_o must_v be_v a_o mixed-lined_n sc._n a_o recto-convexe_a angle_n and_o be_v the_o recto-convexe_a angle_n of_o contact_n at_o the_o same_o point_n and_o that_o a_o recto-convexe_a angle_n of_o contact_n by_o no_o multiplicity_n can_v equal_v or_o exceed_v a_o right-lined_n angle_n do_v not_o disprove_v either_o its_o angular_a nature_n or_o its_o quantitativeness_n both_o which_o be_v otherwise_o clear_v but_o it_o be_v rather_o a_o confirmation_n of_o the_o heterogeneal_a difference_n which_o be_v between_o the_o angle_n of_o the_o one_o sort_n and_o the_o other_o and_o in_o my_o judgement_n there_o need_v no_o great_a argument_n of_o the_o quantitativeness_n of_o recto-convexe_a angle_n of_o contact_n than_o the_o absurdity_n follow_v upon_o the_o contrary_a doctrine_n that_o the_o angle_n of_o a_o semicircle_n and_o a_o right_a right-lined_n angle_n be_v equal_a viz._n the_o whole_a and_o a_o part_n the_o one_o be_v a_o mixed-lined_n and_o the_o other_o a_o right-lined_n angle_n and_o in_o the_o endeavour_n of_o coaptation_n and_o be_v coapt_v on_o one_o side_n the_o other_o side_n all_o the_o way_n fall_v within_o or_o without_o the_o other_o so_o as_o both_o the_o side_n of_o the_o one_o angle_n be_v impossible_a to_o be_v coapt_v to_o both_o the_o side_n of_o the_o other_o but_o will_v both_o still_a lie_n within_o both_o the_o side_n of_o the_o other_o and_o the_o angle_n of_o semicircle_n must_v either_o be_v confess_v unequal_a in_o unequal_a circle_n or_o the_o curvature_n of_o unequal_a circumference_n be_v manifest_o against_o the_o truth_n assert_v to_o be_v equal_a and_o if_o still_o they_o be_v aver_v to_o be_v equal_a its_o desire_a their_o equality_n shall_v be_v demonstrate_v and_o the_o way_n of_o admeasure_v their_o equality_n show_v but_o you_o will_v say_v if_o recto-convexe_a angle_n of_o contact_n be_v quantitative_a why_o can_v they_o not_o exhaust_v any_o other_o angle_n whatsoever_o contain_v under_o the_o very_a same_o side_n for_o possible_o you_o will_v urge_v that_o we_o shall_v not_o question_v the_o homogeneity_n between_o such_o angle_n to_o this_o i_o answer_v without_o examine_v what_o homogeneity_n may_v in_o other_o respect_n be_v between_o they_o that_o a_o quantitative_a and_o mathematical_a homogeneity_n can_v with_o no_o reason_n between_o they_o be_v imagine_v because_o the_o difference_n which_o be_v between_o they_o be_v a_o right-lined_n angle_n to_o which_o all_o angle_n of_o contact_n whatsoever_o be_v heterogeneal_a and_o yourself_o will_v not_o assert_v any_o mathematical_a homogeneity_n or_o at_o least_o proportionablenes_n which_o as_o to_o this_o purpose_n be_v all_o one_o between_o any_o recto-convexe_a angle_n of_o contact_n and_o a_o right-lined_n angle_n as_o in_o fig._n 18._o let_v kab_n be_v a_o recto-convexe_a angle_n of_o contact_n and_o kaf_n another_o recto-convexe_a angle_n under_o the_o very_a same_o side_n and_o let_v ad_fw-la be_v a_o right-line_n tangent_fw-la upon_o the_o arch_n of_o therefore_o the_o recto-convexe_a angle_n of_o contact_n d_o of_o and_o kab_n be_v equal_a the_o right-lined_n angle_v kad_a be_v the_o difference_n of_o the_o recto-convexe_a angle_n of_o contact_n kab_n and_o the_o other_o recto-convexe_a angle_n kaf_n under_o the_o divarication_n of_o the_o very_a same_o side_n so_o as_o it_o be_v impossible_a to_o divide_v this_o or_o any_o other_o angle_n whatsoever_o which_o be_v not_o isoclitical_a to_o divide_v i_o say_v all_o of_o it_o into_o any_o number_n at_o pleasure_n give_v of_o part_n which_o shall_v be_v homogeneal_a all_o of_o they_o one_o unto_o another_o for_o how_o many_o soever_o be_v homogeneal_a the_o angle_n of_o contact_n or_o that_o which_o be_v take_v out_o of_o it_o or_o that_o unto_o 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