Selected quad for the lemma: book_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
book_n	demonstration_n	proposition_n	quantity_n	1,827	5	13.9195	5	false

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A35986	Of the sympathetick powder a discourse in a solemn assembly at Montpellier / made in French by Sir Kenelm Digby, Knight, 1657.; Discours fait en une célèbre assemblée, touchant la guérison des playes par la poudre de sympathie. English	Digby, Kenelm, Sir, 1603-1665.	1669 (1669)	Wing D1446; ESTC R20320	50,741	64

forth_o it_o may_v haply_o seem_v impossible_a that_o there_o can_v be_v a_o emanation_n of_o so_o many_o small_a body_n that_o shall_v be_v spread_v and_o carry_v up_o and_o down_o so_o far_o in_o the_o air_n by_o a_o continual_a flux_n if_o i_o may_v say_v so_o and_o yet_o the_o body_n whence_o they_o come_v receive_v no_o diminution_n that_o be_v perceptible_a though_o sometime_o it_o be_v visible_a enough_o as_o by_o the_o evaporation_n of_o the_o spirit_n of_o wine_n musk_n and_o other_o such_o volatile_a substance_n but_o this_o objection_n will_v be_v nul_fw-fr and_o the_o two_o precedent_a principle_n render_v themselves_o more_o credible_a when_o we_o shall_v settle_v another_o viz._n that_o every_o body_n be_v it_o never_o so_o little_a be_v divisible_a in_o infinitum_fw-la not_o that_o it_o have_v infinite_a part_n for_o the_o contrary_a thereof_o may_v be_v demonstrate_v but_o it_o be_v capable_a to_o be_v divide_v and_o subdivide_v into_o new_a part_n without_o ever_o come_v to_o the_o end_n of_o the_o division_n and_o it_o be_v in_o this_o sense_n that_o our_o master_n teach_v we_o that_o quantity_n be_v infinite_o divisible_a this_o be_v evident_a to_o he_o who_o shall_v consider_v with_o a_o profound_a imagination_n the_o essence_n and_o formal_a notion_n of_o quantity_n which_o be_v nothing_o else_o but_o divisibility_n but_o in_o regard_n that_o this_o speculation_n be_v very_o subtle_a and_o metaphysical_a i_o will_v serve_v myself_o of_o some_o geometrical_a demonstration_n to_o prove_v this_o truth_n for_o they_o accommodate_v best_a with_o the_o imagination_n euclid_n teach_v we_o in_o the_o ten_o proposition_n of_o his_o six_o book_n that_o if_o one_o take_v a_o short_a line_n and_o another_o a_o long_a one_o and_o the_o long_a one_o be_v divide_v into_o divers_a equal_a part_n the_o short_a one_o may_v be_v divide_v also_o into_o as_o many_o equal_a part_n and_o every_o one_o of_o those_o part_n also_o into_o other_o and_o these_o last_o into_o so_o many_o more_o and_o so_o on_o without_o be_v able_a eve●_n to_o come_v to_o that_o which_o be_v not_o divisible_a b●t_o let_v we_o suppose_v although_o it_o be_v impossible_a that_o one_o may_v divide_v and_o subdivide_v a_o line_n so_o that_o at_o last_o we_o shall_v come_v to_o a_o indivisible_a and_o le_fw-fr we_o see_v what_o will_v come_v of_o it_o i_o say_v then_o that_o since_o the_o line_n resolve_v itself_o into_o indivisibles_n it_o must_v be_v compose_v of_o they_o le_fw-fr we_o see_v whether_o that_o may_v be_v verify_v to_o which_o purpose_n i_o take_v three_o indivisibles_n and_o to_o distinguish_v they_o let_v they_o be_v a_o b_o c._n for_o if_o three_o million_o of_o indivisibles_fw-fr make_v a_o long_a line_n three_o indivisibles_n will_v make_v a_o short_a one_o i_o put_v they_o then_o in_o a_o row_n first_o a_o then_z b_o so_o near_o that_o they_o touch_v one_o another_o and_o i_o say_v that_o b_o most_o necessary_o possess_v the_o same_o place_n as_o a_o or_o not_o possess_v it_o if_o it_o possess_v the_o same_o place_n they_o both_o together_o make_v no_o extension_n and_o by_o the_o same_o reason_n neither_o 3_o nor_o 3000_o will_v do_v it_o but_o all_o the_o indivisibles_fw-fr will_v unite_v together_o and_o the_o result_n of_o all_o shall_v be_v but_o only_o one_o indivisible_a it_o must_v be_v then_o that_o be_v not_o both_o in_o the_o same_o place_n yet_o touch_v one_o another_o one_o part_n of_o b_o must_v touch_v one_o part_n of_o a_o and_o another_o part_n not_o touch_v it_o then_o i_o add_v the_o indivisible_a c_o where_o of_o one_o part_n shall_v touch_v a_o part_n of_o b._n which_o touch_v not_o a_o and_o by_o this_o mean_n b_o be_v copulant_fw-la lie_v between_o a_o and_o c_o to_o make_v the_o extension_n to_o do_v this_o you_o see_v that_o we_o must_v admit_v that_o b_o have_v part_n as_o the_o other_o two_o also_o which_o by_o your_o supposition_n be_v all_o indivisible_a and_o this_o be_v absurd_a the_o supposition_n be_v impossible_a but_o to_o render_v the_o matter_n yet_o more_o perspicuous_a let_v we_o suppose_v that_o these_o three_o indivisibles_n make_v one_o extension_n and_o compose_v one_o line_n the_o proposition_n already_o cite_v from_o euclid_n demonstrate_v that_o this_o line_n may_v be_v divide_v into_o thirty_o equal_a part_n or_o into_o as_o many_o as_o youplease_v insomuch_o that_o it_o must_v be_v grant_v that_o every_o one_o of_o these_o three_o indivi●ibles_n may_v be_v divide_v into_o three_o part_n which_o be_v point_n blank_a against_o the_o nature_n and_o definition_n of_o a_o indivisible_a but_o without_o divide_v into_o so_o many_o part_n euclid_n show_v by_o his_o ten_o proposition_n of_o his_o first_o element_n that_o every_o line_n may_v be_v part_v into_o two_o equal_a part_n but_o this_o be_v compose_v of_o indivisibles_n of_o unequal_a number_n it_o must_v necessary_o follow_v that_o be_v part_v into_o two_o there_o must_v be_v a_o indivisible_a more_o on_o the_o one_o side_n than_o on_o the_o other_o or_o the_o middle_a one_o be_v part_v into_o two_o half_n so_o that_o he_o who_o deny_v that_o quantity_n may_v be_v divide_v in_o infinitum_fw-la entangle_v himself_o in_o absurdity_n and_o incomprehensible_a impossibility_n and_o on_o the_o contrary_a he_o who_o assent_v to_o it_o will_v find_v it_o no_o impossibility_n or_o inconvenience_n that_o the_o atom_n of_o all_o body_n which_o be_v in_o the_o air_n may_v be_v divide_v stretch_a and_o carry_v to_o a_o marvelous_a distance_n our_o very_a sense_n make_v faith_n hereof_o in_o some_o sort_n there_o be_v no_o body_n in_o the_o world_n which_o we_o know_v of_o so_o compact_a so_o solid_a and_o weighty_a as_o gold_n yet_o to_o what_o a_o strange_a extent_n and_o division_n may_v it_o be_v bring_v let_v we_o take_v a_o ounce_n of_o this_o massy_a metal_n it_o shall_v be_v but_o a_o button_n as_o big_a as_o my_o finger_n end_n a_o cannoneer_n of_o gold_n will_v make_v a_o thousand_o leau_n or_o more_o of_o this_o ounce_n half_n of_o one_o of_o these_o leau_n shall_v suffice_v to_o gild_v the_o whole_a surface_n of_o silver_n of_o three_o or_o four_o ounce_n let_v we_o give_v this_o gild_a lingot_a of_o silver_n to_o they_o who_o prepare_v gold_n and_o silver_n three_o to_o make_v lace_n and_o let_v they_o draw_v it_o to_o the_o great_a length_n and_o subtlety_n they_o can_v let_v they_o draw_v it_o to_o the_o thinness_n of_o a_o hair_n and_o so_o this_o three_o may_v be_v a_o quarter_n of_o a_o league_n long_o in_o extent_n if_o not_o more_o and_o in_o all_o this_o length_n there_o will_v not_o be_v the_o space_n of_o a_o atom_n which_o be_v not_o cover_v with_o gold_n behold_v a_o strange_a and_o marvelous_a dilatation_n of_o this_o half_a leaf_n let_v we_o do_v the_o like_a to_o all_o the_o rest_n of_o the_o beat_a gold_n it_o will_v appear_v that_o by_o this_o mean_n this_o small_a button_n of_o gold_n may_v be_v so_o extend_v as_o to_o reach_v from_o this_o city_n of_o montpellier_n to_o paris_n and_o far_o beyond_o it_o into_o how_o many_o million_o of_o atom_n may_v not_o this_o gild_a line_n be_v cut_v with_o small_a sciffers_n now_o it_o be_v easy_a to_o comprehend_v that_o this_o extension_n and_o divisibility_n make_v by_o such_o gross_a instrument_n as_o hammer_n and_o scissors_n be_v not_o comparable_a to_o that_o which_o be_v make_v by_o the_o light_n and_o ray_n of_o the_o sun_n and_o it_o be_v certain_a that_o if_o this_o gold_n may_v be_v draw_v into_o such_o a_o great_a length_n by_o spindle_n or_o wheel_n of_o iron_n some_o of_o its_o part_n may_v easy_o be_v carry_v away_o by_o those_o wing_a courser_n we_o speak_v of_o before_o i_o mean_v by_o the_o ray_n that_o fly_v in_o a_o moment_n from_o the_o sun_n to_o the_o earth_n if_o i_o do_v not_o fear_v to_o prove_v tedious_a to_o you_o by_o my_o prolixity_n i_o will_v entertain_v you_o with_o the_o strange_a subtlety_n of_o little_a body_n which_o issue_n forth_o from_o live_a body_n by_o mean_n whereof_o our_o dog_n in_o england_n will_v pursue_v the_o scent_n of_o a_o man_n step_n or_o of_o a_o beast_n many_o mile_n and_o not_o only_o so_o but_o they_o will_v find_v in_o a_o great_a heap_n of_o stone_n that_o which_o a_o man_n have_v touch_v with_o his_o hand_n therefore_o it_o must_v needs_o be_v that_o upon_o the_o earth_n or_o upon_o the_o stone_n some_o material_a part_n of_o the_o touch_v body_n remain_v yet_o the_o body_n do_v not_o sensible_o diminish_v no_o more_o than_o ambergrise_n and_o spanish_a skin_n which_o will_v send_v out_o of_o they_o a_o odour_n during_o a_o hundred_o year_n without_o any_o diminution_n of_o skin_n or_o smell_v in_o our_o country_n they_o use_v to_o sow_v a_o whole_a field_n with_o one_o sort_n of_o grain_n