Selected quad for the lemma: end_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
end_n	divide_v	equal_a	line_n	1,364	5	9.1106	5	false

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

divers_a pinion_n and_o the_o same_o force_n move_v they_o that_o pinion_n shall_v give_v the_o most_o force_n to_o the_o wheel_n to_o raise_v any_o weight_n who_o number_n of_o tooth_n be_v the_o least_o but_o the_o say_a wheel_n shall_v turn_v slow_a as_o have_v be_v say_v and_o herein_o behold_v the_o example_n if_o the_o wheel_n a_o be_v turn_v by_o the_o pinion_n c_o of_o 10._o tooth_n and_o be_v capable_a to_o raise_v a_o weight_n of_o 200._o and_o instead_o of_o the_o pinion_n of_o 10._o tooth_n it_o be_v turn_v by_o a_o pinion_n of_o 5._o than_o it_o the_o force_n to_o raise_v 400._o but_o as_o the_o weight_n be_v double_a in_o gravity_n to_o the_o first_o so_o also_o it_o shall_v be_v as_o long_o again_o a_o raise_n up_o because_o the_o pinion_n being_n 10._o and_o the_o wheel_n 100_o the_o pinion_n ought_v not_o to_o be_v turn_v above_o 10._o time_n to_o make_v a_o whole_a turn_n or_o revolution_n of_o the_o wheel_n but_o if_o the_o pinion_n be_v 5._o it_o must_v make_v 20._o turn_n before_o the_o wheel_n make_v one_o because_o the_o number_n 5._o be_v contain_v 20_o time_n in_o 100_o and_o so_o as_o the_o pinion_n c_o be_v double_a to_o the_o pinion_n fletcher_o the_o weight_n raise_v by_o fletcher_o shall_v be_v double_a to_o the_o weight_n raise_v by_o c_o and_o the_o time_n of_o the_o raise_v it_o shall_v be_v also_o double_a prop._n 15._o if_o two_o wheel_n be_v equal_a in_o form_n and_o matter_n and_o there_o be_v unequal_a weight_n fasten_v to_o their_o axtree_n they_o can_v be_v move_v by_o the_o same_o force_n in_o the_o same_o time_n this_o proposition_n do_v in_o some_o sort_n result_n from_o the_o former_a as_o may_v be_v see_v in_o the_o demostration_n let_v there_o be_v two_o equal_a wheel_n d_o and_o f_o of_o 96._o tooth_n and_o let_v there_o be_v fasten_v to_o the_o axis_n g_o a_o weight_n of_o 300_o and_o to_o b_o one_o of_o 400_o and_o let_v it_o be_v suppose_v that_o the_o pinion_n t_o of_o eight_o tooth_n move_v the_o say_a weight_n by_o the_o mean_n of_o the_o force_n of_o one_o man_n it_o be_v certain_a that_o if_o there_o be_v put_v to_o the_o wheel_n fletcher_o a_o pinion_n equal_a to_o t_o that_o the_o same_o man_n or_o the_o same_o force_n which_o be_v only_o make_v to_o turn_v t_o will_v not_o suffice_v to_o turn_v a_o pinion_n equal_a to_o it_o in_o the_o wheel_n fletcher_o because_o of_o the_o weight_n v_o which_o be_v heavy_a than_o m_o if_o then_o you_o will_v move_v the_o weight_n v_o by_o the_o same_o force_n you_o must_v put_v to_o the_o wheel_n f_o a_o pinion_n which_o have_v such_o proportion_n to_o t_o as_o the_o weight_n m_o have_v to_o the_o weight_n v._n now_o the_o pinion_n t_o be_v of_o 8._o the_o pinion_n x_o must_v be_v of_o 6._o because_o that_o there_o be_v the_o same_o rate_n of_o 8._o to_o 6._o as_o of_o 400._o to_o 300._o and_o the_o same_o pinion_n x_o of_o 6._o tooth_n be_v move_v by_o the_o force_n aforesaid_a the_o weight_n v_o shall_v be_v raise_v but_o not_o in_o the_o same_o time_n because_o there_o be_v make_v but_o 12._o turn_v of_o t_o to_o make_v one_o turn_n of_o d_o and_o there_o must_v be_v 16._o turn_v of_o x_o to_o make_v one_o turn_n of_o f._n prop._n 16._o if_o two_o unequal_a weight_n be_v put_v to_o the_o end_n of_o the_o beam_n of_o a_o balance_n and_o if_o they_o be_v hang_v on_o a_o point_n which_o divide_v the_o beam_n into_o two_o part_n have_v the_o same_o rate_n the_o one_o to_o the_o other_o in_o length_n as_o the_o say_a weight_n have_v in_o heaviness_n those_o weight_n although_o unequal_a shall_v be_v in_o equal_a balance_n if_o the_o light_a be_v put_v to_o the_o end_n of_o the_o long_a part_n of_o the_o beam_n let_v the_o unequal_a weight_n be_v d_o and_o e_o and_o let_v d_o be_v 15._o pound_n weight_n and_o e_o 6_o i_o say_v that_o they_o be_v at_o the_o end_n of_o the_o beam_n of_o the_o balance_n ab_o if_o they_o be_v hang_v on_o a_o point_n as_o c_o so_o as_o the_o part_n ac_o may_v have_v such_o proportion_n to_o the_o part_n cb_o as_o the_o weight_n e_o to_o the_o weight_n d_o d_n be_v at_o the_o short_a distance_n from_o the_o centre_n of_o the_o beam_n shall_v not_o weigh_v more_o than_o e_o which_o be_v at_o the_o long_a end_n because_o the_o weight_n be_v heavy_a in_o proportion_n according_a to_o their_o distance_n from_o the_o point_n on_o which_o the_o beam_n of_o the_o balance_n be_v hang_v now_o if_o the_o beam_n of_o the_o balance_n be_v divide_v into_o 7_o part_n there_o shall_v be_v 5._o part_n on_o the_o one_o side_n of_o the_o centre_n and_o 2._o on_o the_o other_o which_o be_v in_o the_o same_o proportion_n as_o the_o weight_n 15._o and_o 6_o because_o 6._o be_v the_o two_o five_n of_o 15_o as_o 2._o be_v of_o 5._o and_o if_o the_o difference_n of_o the_o weight_n d_o and_o e_o be_v great_a or_o lesser_a they_o shall_v always_o be_v in_o equal_a balance_n if_o the_o beam_n be_v hang_v from_o a_o point_n which_o divide_v it_o as_o be_v before_o say_v you_o may_v see_v other_o example_n in_o the_o figure_n follow_v p_o which_o differ_v from_o this_o a_o corollary_n from_o hence_o it_o follow_v that_o two_o equal_a weight_n be_v not_o alike_o heavy_a if_o they_o be_v put_v at_o the_o end_n of_o a_o beam_n which_o be_v hang_v from_o unequal_a part_n and_o it_o must_v be_v observe_v that_o although_o the_o two_o side_n of_o the_o beam_n be_v in_o equal_a balance_n if_o they_o be_v of_o unequal_a length_n equal_a weight_n shall_v weigh_v unequal_a as_o for_o example_n if_o the_o beam_n ab_o be_v hang_v in_o c_o so_o as_o cb_o may_v be_v long_o than_o ac_o by_o a_o four_o part_n and_o yet_o ac_o and_o cb_o be_v in_o equal_a balance_n because_o the_o part_n ac_o be_v thick_a than_o the_o part_n cb_o yet_o if_o the_o equal_a weight_n d_o and_o f_o be_v put_v to_o the_o end_n of_o the_o beam_n ab_o the_o weight_n fletcher_o shall_v weigh_v a_o four_o part_n more_o which_o be_v the_o difference_n of_o bc_o and_o ac_o prop._n 17._o the_o manner_n to_o shut_v and_o open_v the_o cock_n of_o the_o phneumatique_a engine_n by_o the_o mean_n of_o water_n in_o the_o construction_n of_o the_o phneumatique_a engine_n which_o cause_v water_n to_o mount_v high_a than_o the_o spring_n there_o be_v require_v a_o vessel_n which_o ascend_v and_o descend_v by_o mean_n of_o the_o water_n to_o turn_v the_o cock_n therefore_o i_o have_v put_v here_o certain_a example_n among_o which_o you_o may_v choose_v the_o most_o convenient_a both_o for_o that_o engine_n and_o for_o the_o other_o engine_n now_o behold_v the_o effect_n of_o the_o vessel_n in_o which_o there_o be_v a_o syphon_n which_o shall_v be_v something_o low_a than_o the_o height_n of_o the_o vessel_n and_o the_o say_a syphon_n shall_v be_v large_a than_o the_o pipe_n which_o give_v water_n to_o the_o vessel_n when_o m_o be_v empty_a the_o weight_n l_o shall_v turn_v the_o cock_n towards_o it_o but_o when_o the_o pipe_n h_o have_v fill_v m_n than_o the_o say_a m_o weigh_v more_o than_o the_o weight_n l_o shall_v draw_v back_o the_o cock_n towards_o itself_o and_o then_o the_o syphon_n beginning_n to_o run_v shall_v make_v m_o light_a than_o the_o weight_n l_o and_o so_o the_o cock_n shall_v be_v turn_v back_o again_o there_o may_v be_v also_o make_v another_o vessel_n as_o fletcher_o which_o may_v be_v so_o hang_v upon_o the_o handle_n as_o it_o may_v be_v movable_a upon_o two_o pin_n and_o may_v over-turn_v and_o empty_v the_o water_n when_o it_o be_v full_a and_o to_o perform_v this_o the_o pin_n must_v not_o be_v diametrical_o opposite_a but_o more_o towards_o one_o side_n then_o towards_o the_o other_o now_o because_o the_o say_a vessel_n be_v empty_a shall_v return_v of_o itself_o the_o counter-poise_n e_o must_v be_v put_v to_o the_o light_a side_n to_o balance_v it_o equal_o this_o be_v do_v if_o there_o be_v a_o weight_n as_o have_v be_v say_v in_o the_o aforegoing_a proposition_n which_o shall_v be_v heavy_a than_o fletcher_o that_o vessel_n fletcher_o shall_v be_v at_o the_o high_a when_o it_o be_v empty_a but_o when_o it_o be_v half_a full_a being_n heavy_a than_o d_o the_o say_a vessel_n shall_v descend_v towards_o fletcher_o and_o be_v full_a it_o shall_v empty_v itself_o towards_o x_o and_o be_v empty_a it_o shall_v be_v again_o light_a than_o the_o weight_n and_o return_v to_o its_o first_o place_n where_o it_o shall_v be_v till_o it_o be_v fill_v again_o to_o descend_v the_o reason_n of_o the_o empty_n may_v be_v gather_v from_o the_o corolary_n of_o the_o 16._o proposition_n there_o may_v be_v also_o make_v

pipe_n and_o the_o bottom_n of_o the_o say_a box_n there_o be_v a_o small_a pipe_n which_o shall_v let_v water_n into_o the_o basin_n mark_v with_o s_o which_o shall_v be_v fasten_v to_o two_o turn_v bucket_n mark_v vt_fw-la so_o as_o when_o the_o vessel_n shall_v be_v full_a of_o water_n that_o it_o may_v be_v heavy_a than_o the_o cover_n of_o the_o valve_n r_o and_o on_o the_o contrary_a when_o the_o say_a vessel_n shall_v be_v void_a the_o cover_n of_o the_o say_a valve_n must_v be_v heavy_a to_o the_o intent_n that_o it_o may_v shut_v and_o draw_v the_o say_a vessel_n up_o and_o so_o when_o the_o water_n shall_v run_v into_o the_o say_a box_n by_o the_o pipe_n v_o it_o shall_v rise_v up_o to_o the_o pipe_n o_o and_o fall_v upon_o the_o side_n of_o the_o water_n wheel_n l_o then_o the_o say_a wheel_n turn_v shall_v turn_v i_o and_o consequent_o the_o axtree_n ih_o so_o as_o the_o chain_n shall_v turn_v about_o i_o and_o unturn_n h_o than_o the_o figure_n of_o galatea_n shall_v move_v towards_o the_o pulley_n e_o because_o it_o be_v draw_v thither_o by_o the_o say_a chain_n which_o turn_v about_o the_o ax●ree_n i_o the_o small_a vessel_n s_o must_v be_v so_o proportion_v that_o be_v feed_v by_o the_o small_a pipe_n it_o may_v be_v full_a or_o near_o full_a and_o draw_v up_o the_o valve_n when_o the_o figure_n of_o galatea_n shall_v be_v near_o the_o pulley_n e_o and_o then_o the_o water_n which_o shall_v be_v in_o the_o say_a box_n shall_v fall_v by_o the_o valve_n upon_o the_o other_o side_n of_o the_o water_n wheel_n and_o make_v it_o turn_v the_o other_o way_n so_o as_o the_o chain_n h_o must_v turn_v about_o the_o axtree_n on_o the_o side_n h_o and_o unturn_v on_o the_o side_n i_o which_o will_v be_v the_o cause_n to_o make_v the_o figure_n turn_v towards_o the_o motion_n and_o so_o the_o pulley_n b_o shall_v be_v draw_v upon_o which_o the_o figure_n be_v place_v sometime_o forward_o and_o sometime_o backward_o according_a as_o the_o double_a water_n wheel_n shall_v turn_v sometime_o by_o the_o water_n that_o run_v by_o the_o valve_n r_o and_o sometime_o by_o that_o which_o run_v by_o the_o pipe_n o_o which_o be_v do_v divers_a time_n by_o mean_n of_o the_o small_a vessel_n s_o and_o the_o turn_a bucket_n t_o and_o v_o for_o when_o the_o vessel_n s_o be_v empty_a the_o valve_n r_o be_v shut_v and_o the_o water_n rise_v up_o to_o the_o p●pe_n o_o to_o make_v the_o water_n wheel_n turn_v one_o way_n and_o when_o s_o be_v full_a it_o open_v the_o valve_n and_o then_o all_o the_o water_n fall_v by_o the_o valve_n r_o on_o the_o other_o side_n of_o the_o water_n wheel_n which_o make_v it_o turn_v the_o other_o way_n and_o so_o successive_o as_o concerning_o the_o cyclope_n play_v upon_o the_o flageolet_n the_o motion_n shall_v be_v show_v in_o the_o follow_a figure_n it_o be_v to_o be_v note_v that_o the_o little_a box_n mark_v with_o p_o be_v here_o represent_v open_a on_o one_o side_n to_o the_o intent_n to_o sh●w_v the_o valve_n r._n the_o explanation_n of_o plate_n xvi_o a_o engine_n by_o which_o the_o sound_n of_o the_o flageolet_n shall_v be_v represent_v by_o the_o course_n of_o the_o water_n here_o shall_v be_v represent_v the_o engine_n proper_a to_o make_v the_o flageolet_n sound_v to_o the_o cyclope_n of_o the_o precedent_a plate_n therefore_o let_v there_o be_v a_o musical_a wheel_n mark_v with_o a_o about_o 4_o or_o 5_o foot_n in_o diameter_n perfect_a round_a and_o divide_v with_o tooth_n as_o you_o may_v see_v in_o the_o figure_n so_o as_o a_o pinion_n of_o 8_o tooth_n mark_v with_o b_o may_v turn_v the_o say_a wheel_n and_o to_o the_o arbour_n of_o the_o say_a pinion_n there_o shall_v be_v a_o wheel_n have_v 32_o tooth_n mark_v with_o d_o which_o another_o pinion_n mark_v with_o c_o shall_v turn_v and_o to_o the_o arbour_n of_o the_o say_a pinion_n c_o there_o shall_v be_v a_o water_n wheel_n mark_v with_o fletcher_o about_o 2_o foot_n and_o a_o half_a or_o 3_o foot_n in_o diameter_n which_o shall_v be_v turn_v by_o the_o water_n descend_v from_o the_o pipe_n g_o and_o so_o when_o the_o say_a water_n wheel_n shall_v turn_v it_o shall_v cause_v the_o musical_a wheel_n to_o turn_v by_o mean_n of_o the_o other_o wheel_n afterwards_o there_o shall_v be_v put_v the_o summer_n mark_v with_o h_o the_o fabric_n whereof_o shall_v be_v show_v at_o large_a so_o as_o the_o key_n of_o the_o say_a summer_n shall_v be_v parallel_n at_o half_a a_o inch_n dist●nce_n from_o the_o musical_a wheel_n afterwards_o diu●de_v the_o say_a musical_a wheel_n in_o 25_o or_o 30._o equal_a part_n each_o part_n in_o turn_v shall_v be_v a_o ordinary_a measure_n of_o music_n and_o moreover_o all_o the_o say_a part_n shall_v be_v divide_v into_o 8_o equal_a part_n to_o put_v on_o crotchet_n upon_o each_o division_n if_o it_o be_v require_v of_o which_o there_o be_v 8_o for_o one_o measure_n and_o if_o you_o will_v you_o may_v put_v on_o demy_a crotchet_n or_o quaver_n afterwards_o the_o pin_n be_v to_o be_v put_v upon_o the_o say_a wheel_n ¾_o of_o a_o inch_n above_o the_o superficies_n of_o the_o say_a musical_a wheel_n so_o as_o when_o the_o wheel_n shall_v turn_v the_o say_a pin_n may_v touch_v the_o key_n of_o the_o summer_n and_o put_v they_o down_o and_o cause_v they_o to_o open_v the_o valus_n of_o the_o say_a summer_n as_o concerning_o the_o pin_n they_o shall_v be_v put_v according_a to_o the_o tune_n that_o you_o desire_v the_o flageolet_n to_o play_v that_o which_o be_v here_o set_v down_o begin_v thus_o and_o when_o you_o will_v change_v the_o tune_n it_o may_v be_v do_v by_o dismount_v the_o pinion_n b_o out_o of_o the_o musical_a wheel_n by_o mean_n of_o the_o rest_n of_o iron_n upon_o which_o the_o pinion_n shall_v be_v put_v and_o loosen_v a_o small_a screw_n which_o hold_v the_o say_a rest_n in_o its_o place_n than_o the_o say_a rest_n be_v draw_v from_o its_o hole_n the_o say_a pinion_n shall_v be_v disjoin_v from_o the_o musical_a wheel_n which_o may_v be_v turn_v with_o the_o hand_n you_o may_v fit_v any_o other_o tune_n upon_o the_o say_a wheel_n the_o 12_o hole_n that_o be_v in_o the_o summer_n serve_v to_o convey_v the_o wind_n of_o the_o say_a summer_n by_o the_o conveyance_n of_o copper_n or_o lead_n to_o the_o organ_n pipe_n to_o represent_v the_o sound_n of_o the_o flageolet_n all_o which_o shall_v be_v join_v to_o the_o figure_n of_o the_o cyclope_n the_o construction_n of_o the_o say_a pipe_n shall_v be_v teach_v hereafter_o the_o hook_n which_o hang_v at_o the_o cord_n po_o serve_v to_o draw_v up_o the_o musical_a wheel_n that_o if_o there_o be_v any_o fault_n in_o the_o valve_n within_o the_o summer_n it_o may_v be_v help_v by_o open_v the_o say_a summer_n before_o as_o be_v do_v ordinary_o the_o great_a conveyance_n mark_v with_o s_o may_v be_v of_o wood_n 4_o inch_n square_a to_o conduct_v the_o wind_n to_o the_o summer_n which_o shall_v come_v from_o the_o bellows_o as_o shall_v be_v teach_v the_o explanation_n of_o plate_n xvii_o in_o this_o plate_n be_v represent_v the_o figure_n of_o neptune_n which_o shall_v turn_v circular_o with_o certain_a triton_n and_o other_o figure_n which_o shall_v cast_v forth_o water_n in_o turn_v the_o wheel_n work_n belong_v to_o the_o motion_n of_o these_o figure_n shall_v be_v declare_v in_o the_o follow_a plate_n the_o explanation_n of_o plate_n xviii_o this_o plate_n declare_v the_o motion_n and_o wheelwork_n of_o neptune_n and_o other_o figure_n represent_v in_o the_o foregoing_a plate_n let_v there_o be_v a_o water_n wheel_n mark_v with_o a_o which_o turn_v shall_v turn_v a_o tooth_a wheel_n mark_v with_o b_o the_o pivot_n whereof_o shall_v rest_v upon_o a_o straight_a piece_n of_o wood_n and_o the_o arbour_n above_o mark_v with_o pq_o shall_v be_v fasten_v firm_o to_o a_o pipe_n of_o copper_n mark_v with_o sir_o and_o at_o the_o end_n thereof_o there_o shall_v be_v a_o small_a receiver_n where_o the_o water_n shall_v fall_v then_o there_o shall_v be_v a_o great_a pipe_n mark_v with_o tu_fw-la which_o shall_v be_v also_o fasten_v to_o the_o arbour_n a_o little_a low_o than_o r_o so_o as_o the_o say_a pipe_n may_v turn_v upon_o another_o mark_v with_o point_a line_n which_o shall_v be_v interlace_v mark_v also_o with_o point_a line_n and_o the_o say_a great_a pipe_n and_o that_o in_o the_o middle_n shall_v be_v solder_v firm_o to_o the_o bottom_n of_o the_o reserve_v of_o lead_n mark_v with_o cd_o and_o the_o great_a pipe_n xv_o shall_v be_v solder_v to_o a_o great_a wheel_n mark_v with_o ef_o which_o shall_v be_v within_o two_o inch_n of_o the_o bottom_n of_o the_o say_a reserve_n so_o as_o when_o