Selected quad for the lemma: earth_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
earth_n	air_n	body_n	water_n	10,358	5	6.5960	4	true

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A31370	New and rare inventions of water-works shewing the easiest waies to raise water higher then the spring by which invention the perpetual motion is proposed : many hard labours performed : and varieties of notions and sounds produced : a work both usefull profitable and delightfull for all sorts of people / first written in French by Isaak de Caus ... ; and now translated into English by John Leak.; Nouvelle invention de lever l'eau. English	Caus, Isaac de, 1590-1648.; Caus, Salomon de, d. 1626. Raisons des forces movvantes avec diverses machine.; Leak, John.	1659 (1659)	Wing C1527; ESTC R17548	33,436	91

and_o for_o proof_n thereof_o if_o the_o vessel_n c_o be_v as_o great_a as_o b_o it_o be_v impossible_a that_o the_o say_a vessel_n shall_v be_v fill_v with_o water_n but_o that_o the_o air_n shall_v often_o break_v forth_o and_o that_o because_o b_o be_v not_o capable_a to_o contain_v so_o much_o air_n therefore_o let_v it_o be_v hold_v that_o the_o air_n may_v be_v press_v in_o a_o close_a vessel_n to_o a_o certain_a degree_n there_o be_v another_o way_n to_o force_v the_o water_n with_o violence_n into_o the_o small_a vessel_n by_o the_o mean_n of_o a_o syringe_n as_o in_o the_o second_o figure_n prop._n 2_o the_o water_n can_v enter_v into_o a_o vessel_n but_o there_o must_v come_v forth_o as_o much_o air_n except_o the_o water_n be_v send_v in_o by_o force_n to_o demonstrate_v this_o let_v there_o be_v a_o vessel_n as_o a_o and_o let_v the_o pipe_n x_o be_v fasten_v in_o the_o cover_n thereof_o so_o that_o it_o may_v near_o touch_v the_o bottom_n of_o the_o say_a vessel_n and_o let_v the_o small_a vessel_n d_o be_v fasten_v to_o that_o end_n of_o the_o pipe_n which_o be_v without_o the_o vessel_n then_o if_o you_o pour_v water_n into_o the_o say_a vessel_n a_o until_o it_o come_v to_o be_v of_o the_o height_n v_o which_o be_v the_o end_n of_o the_o pipe_n and_o then_o the_o air_n be_v shut_v in_o in_o the_o vessel_n a_o hinder_v the_o water_n which_o be_v in_o d_o from_o enter_v into_o the_o vessel_n a._n but_o it_o be_v to_o be_v note_v in_o this_o rule_n that_o if_o the_o water_n be_v force_v into_o the_o vessel_n a_o with_o violence_n it_o may_v be_v fill_v to_o a_o three_o part_n or_o thereabouts_o and_o the_o say_a violence_n be_v cause_v if_o the_o pipe_n x_o be_v make_v very_o long_o or_o if_o you_o force_v the_o water_n in_o with_o a_o syringe_n as_o have_v be_v say_v and_o as_o may_v be_v see_v in_o the_o second_o figure_n a_o corollary_n prop._n 3._o it_o follow_v by_o the_o contrary_a reason_n that_o if_o a_o vessel_n be_v full_a of_o water_n it_o can_v be_v empty_v so_o that_o the_o air_n shall_v not_o enter_v therein_o as_o let_v the_o vessel_n or_o vial_n d_o be_v propose_v which_o let_v be_v full_a of_o water_n and_o let_v it_o be_v reverse_v so_o as_o the_o mouth_n or_o neck_n may_v touch_v the_o water_n which_o shall_v be_v set_v under_o it_o in_o a_o vessel_n it_o be_v certain_a that_o although_o the_o mouth_n of_o the_o say_a vial_n be_v downward_o no_o water_n shall_v run_v out_o because_o the_o air_n can_v enter_v to_o supply_v the_o place_n of_o the_o water_n that_o shall_v run_v out_o prop._n 4._o there_o can_v be_v no_o vacuity_n this_o be_v that_o which_o have_v be_v say_v in_o the_o preface_n the_o proof_n whereof_o may_v be_v gather_v from_o the_o foregoing_a corollary_n and_o divers_a other_o example_n whereof_o here_o be_v one_o if_o you_o have_v a_o copper_n pipe_n b_o whereof_o the_o end_n c_o be_v in_o the_o water_n and_o let_v the_o other_o end_n d_o be_v open_a to_o the_o end_n that_o the_o pestle_n a_o may_v be_v put_v therein_o which_o shall_v be_v like_o to_o those_o which_o be_v use_v for_o pump_n and_o forcor_n of_o water_n and_o that_o the_o say_a end_n a_o well_o environ_v with_o leather_n to_o the_o end_n that_o put_v water_n in_o e_o it_o may_v not_o run_v through_o to_o b_o then_o if_o a_o be_v raise_v to_o the_o point_n fletcher_o the_o water_n x_o which_o be_v level_n with_o the_o point_n c_o shall_v ascend_v to_o b_o to_o supply_v so_o much_o place_n as_o be_v between_o a_o and_o fletcher_o so_o the_o water_n ascend_v high_a than_o the_o level_n that_o there_o shall_v be_v no_o void_a place_n leave_v in_o b._n prop._n 5_o if_o the_o air_n be_v press_v in_o a_o vessel_n wherein_o there_o be_v water_n and_o that_o you_o give_v it_o passage_n by_o some_o pipe_n the_o say_a water_n shall_v come_v forth_o with_o violence_n if_o the_o air_n be_v press_v in_o the_o vessel_n x_o let_v it_o be_v by_o mean_n of_o a_o syringe_n or_o by_o a_o pipe_n as_o have_v be_v say_v before_o it_o be_v certain_a that_o then_o when_o the_o water_n have_v passage_n it_o come_v with_o a_o great_a deal_n more_o force_n than_o if_o it_o come_v forth_o from_o a_o open_a vessel_n as_o b._n prop._n 6._o if_o the_o water_n descend_v with_o violence_n into_o two_o equal_a vessel_n there_o shall_v enter_v more_o water_n into_o that_o vessel_n where_o the_o water_n descend_v from_o the_o high_a place_n and_o the_o air_n shall_v be_v more_o press_v therein_o and_o there_o shall_v be_v the_o same_o rate_n or_o proportion_n between_o the_o quantity_n of_o water_n contain_v in_o those_o vessel_n as_o there_o be_v between_o the_o height_n from_o whence_o the_o water_n have_v descend_v let_v there_o be_v two_o vessel_n b_o and_o c_o to_o which_o the_o water_n descend_v with_o violence_n by_o the_o pipe_n m_o and_o n_o the_o long_a of_o which_o be_v n_o from_o whence_o it_o follow_v that_o there_o enter_v more_o water_n in_o the_o vessel_n c_o then_o in_o b_o and_o there_o be_v the_o same_o rate_n of_o the_o water_n d_o to_o the_o water_n o_o as_o there_o be_v of_o the_o length_n of_o the_o pipe_n n_o to_o the_o length_n of_o the_o pipe_n m._n and_o it_o also_o follow_v from_o hence_o that_o in_o the_o vessel_n c_o where_o there_o be_v more_o water_n the_o air_n shall_v be_v more_o press_v then_o in_o b_o and_o the_o effect_n thereof_o may_v be_v see_v by_o the_o small_a pipe_n p_o and_o x_o of_o the_o which_o two_o p_o cast_v the_o water_n high_a because_o the_o air_n be_v more_o press_v in_o the_o vessel_n c_o then_o in_o the_o vessel_n b_o in_o the_o same_o manner_n as_o before_o we_o may_v proportion_v the_o air_n of_o the_o two_o vessel_n to_o the_o height_n of_o the_o water_n spring_v forth_o by_o the_o small_a pipe_n p_o and_o x_o the_o which_o ought_v to_o be_v equal_a prop._n 7._o all_o heavy_a thing_n whatsoever_o weigh_v more_o in_o the_o air_n then_o in_o the_o water_n although_o that_o every_o heavy_a body_n have_v always_o in_o its_o self_n its_o proper_a weight_n yet_o nevertheless_o they_o be_v also_o consider_v diverse_o according_a to_o the_o place_n where_o they_o be_v place_v as_o it_o be_v certain_a that_o wood_n weigh_v nothing_o in_o the_o water_n because_o it_o do_v not_o des_fw-fr end_n towards_o the_o centre_n of_o the_o earth_n which_o be_v proper_a to_o all_o heavy_a thing_n but_o if_o it_o be_v in_o the_o air_n it_o fall_v towards_o its_o centre_n with_o weight_n wherefore_o we_o may_v say_v that_o it_o weigh_v more_o in_o the_o air_n then_o in_o the_o water_n and_o so_o we_o may_v say_v of_o all_o body_n although_o they_o be_v heavy_a than_o the_o water_n for_o although_o they_o fall_v towards_o their_o centre_n of_o gravity_n in_o the_o water_n yet_o it_o be_v not_o with_o such_o swiftness_n it_o be_v not_o necessary_a to_o show_v here_o by_o what_o quantity_n the_o say_a heaviness_n be_v more_o weighty_a in_o the_o air_n then_o in_o the_o water_n send_v the_o curious_a to_o the_o book_n of_o archimedes_n concerning_o thing_n fall_v in_o the_o water_n where_o it_o be_v demonstrate_v that_o heavy_a thing_n weigh_v more_o in_o the_o air_n then_o in_o the_o water_n by_o the_o quantity_n of_o water_n which_o be_v equal_a to_o they_o a_o corollary_n it_o be_v here_o to_o be_v observe_v that_o water_n be_v of_o diverse_a weight_n and_o they_o say_v that_o on_o the_o territory_n of_o cara_fw-it in_o spain_n there_o be_v two_o fountain_n in_o the_o one_o of_o which_o divers_a thing_n be_v put_v sink_v to_o the_o bottom_n the_o which_o be_v put_v in_o the_o other_o float_v at_o top_n they_o report_v the_o same_o thing_n of_o the_o lake_n of_o sodom_n and_o of_o the_o fountain_n of_o arethus_n the_o which_o effect_n come_v to_o pass_v by_o reason_n of_o the_o weight_n of_o the_o water_n and_o from_o hence_o we_o may_v infer_v that_o one_o and_o the_o same_o thing_n weigh_v more_o in_o light_a water_n then_o in_o heavy_a water_n prop._n 8._o water_n weigh_v upon_o that_o which_o sustain_v it_o according_a to_o its_o height_n i_o have_v give_v this_o example_n because_o that_o divers_a deceive_v themselves_o upon_o this_o subject_a which_o have_v think_v to_o raise_v water_n not_o consider_v the_o weight_n when_o it_o come_v to_o be_v raise_v very_o high_a that_o which_o be_v then_o to_o be_v understand_v by_o this_o proposition_n be_v that_o the_o sucker_n c_o be_v at_o the_o end_n of_o the_o pipe_n m_o to_o sustain_v the_o water_n which_o be_v within_o the_o say_a pipe_n that_o the_o water_n weigh_v upon_o it_o according_a as_o the_o height_n thereof_o shall_v be_v in_o the_o

new_a and_o rare_a invention_n of_o water-work_n show_v the_o easy_a way_n to_o raise_v water_n high_o than_o the_o spring_n by_o which_o invention_n the_o perpetual_a motion_n be_v propose_v many_o hard_a labour_n perform_v and_o variety_n of_o motion_n and_o sound_n produce_v a_o work_n both_o useful_a profitable_a and_o delightful_a for_o all_o sort_n of_o people_n first_o write_v in_o french_a by_o isaak_n de_fw-fr caus_n a_o late_a famous_a engenier_n and_o now_o translate_v into_o english_a by_o john_n leak_n london_n print_v by_o joseph_n moxon_n and_o sell_v at_o his_o shop_n in_o cornhill_n at_o the_o sign_n of_o atlas_n 1659._o the_o preface_n because_o the_o raise_n of_o water_n high_o than_o the_o spring_n after_o the_o way_n principal_o intend_v in_o this_o work_n seem_v to_o be_v opposite_a to_o the_o common_a receive_a opinion_n of_o all_o time_n i_o have_v think_v it_o not_o only_o sufficient_a to_o teach_v the_o construction_n of_o the_o engine_n proper_a thereto_o but_o also_o for_o more_o ample_a satisfaction_n to_o premise_v certain_a proposition_n to_o precede_v in_o place_n of_o principle_n only_o to_o make_v you_o understand_v the_o effect_n of_o that_o motion_n by_o the_o cause_n thereof_o that_o so_o the_o way_n may_v be_v more_o accessible_a to_o the_o other_o phneumatike_a invention_n viz._n engine_n move_v by_o the_o force_n of_o air_n to_o come_v to_o which_o it_o must_v first_o be_v consider_v that_o all_o the_o element_n whether_o simple_a or_o mix_v have_v two_o principal_a motion_n viz._n natural_a and_o accidental_a the_o natural_a motion_n be_v that_o whereby_o each_o element_n search_v and_o draw_v itself_o towards_o the_o place_n assign_v thereto_o by_o the_o divine_a providence_n in_o the_o creation_n the_o accidental_a motion_n be_v that_o which_o be_v move_v by_o any_o outward_a force_n different_a from_o the_o first_o now_o although_o divers_a thing_n seem_v to_o move_v contrary_a to_o their_o order_n without_o any_o external_a agitation_n yet_o the_o reason_n be_v that_o their_o contrary_a motion_n be_v cause_v to_o hinder_v some_o other_o great_a accident_n as_o for_o example_n it_o shall_v be_v show_v that_o the_o water_n to_o shun_v vacuity_n mount_v contarry_a to_o the_o ordinary_a course_n thereof_o because_o vacuity_n be_v more_o repugnant_a to_o nature_n then_o the_o contrary_a motion_n of_o that_o element_n as_o be_v see_v by_o the_o principle_n proposition_n which_o serve_v as_o a_o foundation_n of_o this_o invention_n which_o be_v found_v upon_o this_o principle_n of_o nature_n that_o there_o can_v be_v no_o vacuity_n in_o the_o elementary_a sphere_n whereof_o the_o earth_n and_o water_n do_v supply_v the_o inferior_a part_n and_o the_o fire_n and_o air_n which_o encompass_v they_o the_o superior_a part_n and_o each_o of_o they_o be_v say_v to_o be_v heavy_a or_o light_a according_a as_o natural_o they_o be_v near_o or_o further_o from_o the_o centre_n but_o in_o these_o four_o it_o will_v be_v necessary_a to_o have_v a_o regard_n as_o well_o to_o certain_a thing_n whereof_o the_o air_n and_o water_n be_v capable_a as_o to_o those_o wherein_o they_o can_v suffer_v accident_n as_o the_o water_n which_o although_o it_o may_v be_v extend_v by_o the_o intermixture_n of_o air_n or_o atenuate_v and_o convert_v into_o air_n by_o the_o mean_n of_o heat_n which_o resolve_v it_o yet_o nevertheless_o it_o can_v be_v press_v that_o be_v to_o say_v that_o a_o certain_a quantity_n of_o water_n can_v be_v force_v by_o compression_n to_o be_v contain_v in_o less_o space_n than_o its_o natural_a extension_n and_o the_o air_n on_o the_o contrary_a may_v be_v restrain_v and_o put_v up_o be_v press_v or_o rarefy_v and_o extend_v be_v move_v beyond_o the_o other_o accident_n whereof_o it_o be_v capable_a these_o thing_n shall_v hereafter_o be_v demonstrate_v by_o proposition_n found_v upon_o experience_n which_o i_o have_v think_v to_o be_v more_o convenient_a for_o this_o purpose_n then_o to_o involve_v the_o reader_n in_o a_o labyrinth_n of_o geometrical_a proposition_n which_o although_o most_o exact_a yet_o be_v not_o altogether_o pertinent_a for_o instruction_n in_o this_o subject_a as_o for_o example_n if_o we_o shall_v build_v upon_o this_o rule_n of_o archimedes_n that_o the_o superficies_n of_o the_o water_n be_v spherical_a when_o it_o be_v not_o move_v which_o superficies_n have_v for_o its_o centre_n that_o of_o the_o whole_a earth_n there_o will_v follow_v a_o subjection_n that_o we_o must_v hold_v in_o the_o demonstration_n viz._n that_o the_o superficies_n of_o the_o water_n be_v circular_a which_o in_o the_o like_a case_n as_o be_v that_o whereof_o we_o speak_v be_v esteem_v plain_a of_o every_o one_o and_o that_o first_o because_o the_o difference_n be_v undescernable_a and_o second_o because_o it_o can_v make_v a_o defect_n in_o any_o operation_n whatsoever_o a_o liberty_n therefore_o which_o be_v not_o permit_v in_o the_o mathematics_n that_o therefore_o with_o other_o reason_n have_v move_v i_o to_o omit_v those_o demonstration_n which_o seem_v to_o i_o to_o be_v too_o punctual_a for_o this_o purpose_n note_v also_o that_o when_o i_o speak_v of_o water_n i_o mean_v water_n equal_o heavy_a without_o make_v any_o difference_n although_o in_o case_n of_o necessity_n there_o must_v be_v have_v a_o regard_n thereto_o chief_o if_o the_o difference_n be_v such_o as_o in_o the_o water_n of_o certain_a river_n whereof_o pliny_n speak_v wherein_o nothing_o will_v sink_v to_o the_o bottom_n as_o in_o the_o water_n of_o the_o lake_n alphaltite_n and_o in_o the_o water_n of_o arethuse_n which_o run_v towards_o siracuse_n and_o that_o because_o of_o their_o extreme_a weight_n which_o return_v heavy_a thing_n to_o the_o top_n as_o quick_a silver_n do_v the_o metal_n which_o sink_v not_o in_o it_o although_o it_o be_v liquid_a because_o it_o be_v more_o weighty_a and_o in_o this_o we_o must_v make_v a_o distinction_n that_o metal_n and_o heavy_a solid_n sink_v in_o water_n according_a to_o the_o figure_n they_o have_v for_o copper_n silver_n and_o gold_n sink_v not_o in_o ordinary_a water_n if_o it_o be_v beat_v out_o in_o plate_n or_o thin_a leaf_n but_o if_o it_o be_v contract_v into_o a_o more_o solid_a form_n it_o sink_v forthwith_o to_o the_o bottom_n but_o these_o and_o the_o like_a thing_n i_o shall_v treat_v of_o in_o a_o commentary_n upon_o the_o book_n of_o archimedes_n concerning_o weight_n and_o thing_n sink_v in_o water_n the_o theory_n of_o the_o conduct_n of_o water_n proposition_n 1._o the_o air_n may_v be_v press_v but_o not_o the_o water_n to_o give_v a_o example_n whereof_o let_v there_o be_v two_o vessel_n a_o and_o b_o of_o one_o form_n matter_n and_o bigness_n the_o which_o let_v be_v full_a of_o water_n it_o be_v most_o certain_a that_o in_o either_o of_o those_o vessel_n the_o water_n can_v be_v press_v so_o as_o the_o one_o of_o those_o vessel_n may_v contain_v the_o least_o part_n that_o may_v be_v more_o than_o the_o other_o but_o when_o they_o be_v only_o full_a of_o air_n i_o say_v that_o the_o say_a air_n may_v be_v press_v and_o one_o of_o those_o vessel_n may_v contain_v more_o than_o the_o other_o which_o shall_v be_v thus_o demonstrate_v let_v the_o say_a vessel_n a_o and_o b_o be_v make_v very_o close_o on_o all_o part_n and_o at_o the_o bottom_n of_o the_o vessel_n b_o let_v there_o be_v a_o small_a hole_n e_o to_o which_o the_o pipe_n ed_o be_v fasten_v the_o other_o end_n thereof_o d_o be_v fasten_v to_o the_o upper_a part_n of_o the_o vessel_n c_o the_o which_o be_v also_o make_v very_o close_a one_o every_o side_n and_o contain_v about_o a_o three_o part_n of_o the_o vessel_n b_o and_o to_o make_v the_o water_n enter_v therein_o with_o force_n it_o will_v be_v necessary_a to_o fasten_v the_o pipe_n fletcher_o near_o to_o the_o bottom_n of_o the_o vessel_n c_o the_o which_o shall_v be_v make_v as_o high_a as_o may_v be_v that_o it_o may_v give_v so_o much_o the_o more_o violence_n to_o the_o water_n the_o which_o enter_v the_o small_a vessel_n c_o shall_v make_v the_o air_n that_o be_v therein_o to_o ascend_v into_o the_o vessel_n b_o the_o which_o shall_v contain_v more_o air_n than_o a_o by_o the_o quantity_n which_o be_v in_o c_o and_o so_o the_o air_n shall_v be_v press_v in_o the_o say_a vessel_n b_o the_o which_o may_v be_v see_v if_o you_o make_v a_o small_a hole_n in_o the_o say_a vessel_n by_o the_o which_o the_o say_a air_n shall_v come_v forth_o with_o violence_n but_o if_o you_o pierce_v the_o vessel_n a_o there_o will_v not_o be_v the_o same_o effect_n because_o in_o it_o the_o air_n be_v not_o press_v but_o it_o be_v here_o to_o be_v observe_v that_o although_o the_o air_n may_v be_v press_v it_o be_v but_o only_o to_o a_o certain_a degree_n which_o be_v about_o a_o three_o part_n