Selected quad for the lemma: fire_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
fire_n	boil_v	let_v	water_n	5,805	5	6.8053	4	true

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A54611	The discourse made before the Royal Society the 26. of November, 1674, concerning the use of duplicate proportion in sundry important particulars together with a new hypothesis of springing or elastique motions / by Sir William Petty, Kt. ...	Petty, William, Sir, 1623-1687.	1674 (1674)	Wing P1919; ESTC R4342	21,001	166

26_o and_o 3_o to_o 2_o that_o the_o same_o person_n of_o 36_o shall_v die_v before_o he_o of_o 16_o and_o so_o forward_o according_a to_o the_o root_n of_o any_o other_o year_n of_o the_o decline_a age_n compare_v with_o a_o number_n between_o 4_o and_o 5_o which_o be_v the_o root_n of_o 21_o the_o most_o hopeful_a year_n for_o longaevity_n as_o the_o mean_a between_o 16_o and_o 26_o and_o be_v the_o year_n of_o perfection_n according_a to_o the_o sense_n of_o our_o law_n and_o the_o age_n for_o who_o life_n a_o lease_n be_v most_o valuable_a to_o prove_v all_o which_o i_o can_v produce_v the_o account_n of_o every_o man_n woman_n and_o child_n within_o a_o certain_a parish_n of_o above_o 330_o soul_n all_o which_o particular_a age_n be_v cast_v up_o and_o add_v together_o and_o the_o sum_n divide_v by_o the_o whole_a number_n of_o soul_n make_v the_o quotient_a between_o 15_o and_o 16_o which_o i_o call_v if_o it_o be_v constant_a or_o uniform_a the_o age_n of_o that_o parish_n or_o numerous_a index_n or_o longaevity_n there_o many_o of_o which_o index_n for_o several_a time_n and_o place_n will_v make_v a_o useful_a scale_n of_o salubrity_n for_o those_o place_n and_o a_o better_a judge_n of_o air_n than_o the_o conjectural_a notion_n we_o common_o read_v and_o talk_v of_o and_o such_o a_o scale_n the_o king_n may_v as_o easy_o make_v for_o all_o his_o dominion_n as_o i_o do_v this_o for_o this_o one_o parish_n the_o twelve_o instance_n in_o music_n take_v a_o musical_a string_n one_o end_n thereof_o be_v fasten_v hang_v unto_o the_o other_o over_o a_o convenient_a bridg_n any_o weight_n which_o may_v strain_v it_o to_o some_o grave_a musical_a tone_n or_o note_n then_o set_v some_o other_o string_n of_o near_a the_o same_o length_n unisone_o thereunto_o last_o instead_o of_o the_o first_o weight_n hang_v to_o the_o first_o string_n the_o quadruple_a of_o the_o same_o weight_n and_o it_o will_v appear_v that_o the_o string_n with_o the_o quadruple_a weight_n shall_v yield_v a_o tone_n of_o a_o 8_o the_o or_o diapason_n above_o itself_o when_o single_o charge_v the_o reason_n be_v because_o the_o quadruple_a weight_n double_v the_o number_n of_o vibration_n 2_o being_z the_o root_n of_o 4_o and_o for_o that_o the_o ratio_fw-la formalis_fw-la of_o tones_n lie_v in_o the_o number_n of_o the_o vibration_n and_o of_o the_o diapason_n in_o the_o doublness_n of_o such_o number_n by_o the_o same_o method_n of_o hanging-on_a several_a weight_n at_o one_o end_n of_o the_o same_o string_n all_o tone_n may_v be_v produce_v of_o which_o such_o string_n be_v capable_a the_o tone_n or_o note_n also_o of_o like_a bell_n and_o drum_n do_v follow_v the_o same_o proportion_n of_o their_o tension_n and_o metal_n so_o as_o able_a artist_n can_v cast_v bell_n in_o tones_n assign_v the_o thirteen_o instance_n of_o fire_n and_o spirit_n let_v a_o cylindrical_a flatbottom_n vessel_n be_v fill_v with_o water_n and_o let_v it_o be_v try_v in_o what_o time_n one_o lamp_n or_o candle_n will_v make_v the_o water_n boil_v through_o or_o come_v up_o to_o its_o great_a heat_n then_o see_v in_o how_o much_o lesser_a time_n 2_o 3_o or_o 4_o more_o like_o fire_n will_v hasten_v the_o same_o effect_n i_o can_v speak_v positive_o hereof_o but_o know_v from_o several_a observation_n that_o the_o acceleration_n abovesaid_a shall_v not_o be_v make_v in_o arithmetical_a proportion_n forasmuch_o as_o i_o know_v that_o in_o firework_n great_a fire_n be_v more_o profitable_a than_o small_a as_o in_o brewer_n copper_n and_o iron-work_n may_v be_v see_v wherein_o double_a fire_n produce_v more_o than_o double_a dispatch_n or_o advantage_n i_o shall_v therefore_o suspend_v this_o matter_n and_o pass_v to_o the_o measure_n of_o the_o spirituosity_n of_o liquor_n or_o in_o what_o proportion_v several_a liquor_n contain_v more_o or_o less_o of_o inflameable_a or_o ardent_a part_n now_o in_o this_o case_n i_o conceive_v the_o consideration_n of_o root_n and_o square_n be_v also_o material_a for_o i_o understand_v by_o strength_n or_o multitude_n of_o spirit_n the_o space_n great_a or_o lesser_a into_o which_o such_o liquor_n will_v be_v rarify_v or_o will_v fill_v with_o spirit_n as_o for_o example_n if_o a_o pint_n of_o water_n rarify_v into_o vapour_n will_v fill_v a_o globe_n but_o of_o 3_o foot_n diameter_n and_o a_o pint_n of_o rectify_a spirit_n of_o wine_n will_v fill_v a_o globe_n of_o six_o foot_n diameter_n or_o 8_o time_n as_o large_a as_o that_o of_o water_n i_o shall_v say_v that_o there_o be_v 8_o time_n as_o much_o spirit_n or_o vapour_n in_o one_o as_o in_o the_o other_o but_o if_o these_o liquor_n be_v put_v into_o open_a lamp_n or_o vessel_n there_o the_o space_n in_o which_o the_o spirit_n rise_v be_v the_o root_n who_o square_n do_v show_v the_o spirituosity_n of_o those_o liquor_n ex._n gr_n let_v there_o be_v a_o lamplike_a vessel_n of_o common_a aquavitae_n in_o which_o place_n a_o week_n as_o high_a as_o the_o same_o will_v burn_v by_o the_o rise_n of_o the_o spirit_n unto_o it_o suppose_v a_o inch_n above_o the_o surface_n of_o the_o liquor_n now_o let_v there_o be_v a_o like_a equal_a vessel_n with_o such_o a_o spirit_n as_o will_v rise_v up_o high_o suppose_v to_o a_o week_n place_v two_o inch_n above_o the_o surface_n in_o this_o case_n i_o say_v that_o the_o latter_a liquor_n be_v quadruple_a in_o strength_n or_o extent_n of_o spirit_n to_o the_o former_a for_o it_o be_v certain_a that_o as_o the_o spirit_n rise_v double_a upward_o so_o also_o it_o emit_v or_o rarifi_v itself_o double_a also_o sideways_o and_o consequent_o the_o quantity_n of_o the_o spirit_n or_o vapour_n must_v be_v quadruple_a and_o so_o of_o other_o proportion_n the_o fourteen_o instance_n of_o rise_v and_o fall_v body_n but_o particular_o of_o water_n in_o pump_n and_o river-stream_n let_v it_o be_v observe_v in_o the_o transparent_a pipe_n of_o a_o force_v pump_n at_o how_o many_o stroke_n the_o water_n be_v force_v from_o the_o bottom_n to_o the_o top_n and_o let_v as_o many_o mark_n be_v make_v at_o the_o several_a place_n unto_o which_o the_o water_n mount_v at_o every_o stroke_n which_o stroke_n we_o suppose_v to_o be_v all_o in_o equal_a time_n it_o will_v appear_v that_o all_o the_o say_a division_n will_v be_v according_a to_o the_o proportion_n or_o the_o logarithm_n abovementioned_a as_o for_o the_o descent_n and_o acceleration_n of_o fall_a body_n the_o time_n be_v the_o root_n of_o these_o space_n which_o they_o fall_v in_o the_o say_a time_n respective_o the_o great_a effect_n whereof_o we_o see_v in_o overshot-mill_n where_o a_o little_a water_n fall_v upon_o a_o wheel_n of_o a_o large_a diameter_n produce_v wonderful_a effect_n the_o which_o may_v be_v well_o compute_v upon_o the_o principle_n we_o hold_v forth_o water_n also_o have_v great_a force_n in_o the_o abovementioned_a proportion_n as_o the_o hole_n or_o place_n whereat_o they_o issue_v be_v low_a from_o their_o surface_n as_o may_v be_v see_v in_o all_o breast_n and_o undershot-mill_n where_o it_o be_v pleasant_a to_o divide_v the_o sink_v of_o the_o water_n into_o equal_a space_n and_o to_o count_v the_o clack_n revolution_n or_o stroke_n make_v within_o the_o time_n of_o the_o water_n sink_v every_o such_o equal_a space_n for_o therein_o the_o abovementioned_a logarithme_n may_v also_o be_v observe_v unto_o this_o head_n may_v be_v refer_v the_o leakage_n of_o ship_n for_o let_v there_o be_v a_o hole_n in_o a_o ship_n somewhere_o under_o water_n then_o let_v it_o be_v see_v what_o water_n come_v in_o at_o the_o say_a hole_n within_o any_o space_n of_o time_n then_o let_v the_o like_a hole_n be_v make_v at_o double_a the_o perpendicular_a distance_n from_o the_o top_n of_o the_o water_n and_o there_o shall_v come_v in_o four_o time_n as_o much_o as_o at_o the_o upper_a hole_n and_o let_v a_o three_o be_v at_o three_o distance_n and_o that_o shall_v admit_v 9_o time_n as_o much_o etc._n etc._n again_o let_v there_o be_v two_o equal_a hole_n or_o leak_n in_o a_o ship_n the_o one_o at_o head_n and_o the_o other_o at_o stern_a and_o let_v the_o ship_n be_v in_o motion_n then_o the_o leakage_n at_o the_o head_n be_v compose_v of_o the_o pressure_n of_o the_o water_n from_o the_o surface_n and_o of_o the_o ship_n motion_n together_o moreover_o if_o the_o ship_n make_v double_a way_n the_o leakage_n will_v be_v quadruple_a if_o treble_a way_n non_fw-fr cuple_n etc._n etc._n wherefore_o to_o stop_v leak_n afore_o the_o ship_n must_v stop_v its_o motion_n lie_v by_o or_o bear_v up_o to_o go_v with_o the_o wind_n and_o sea_n etc._n etc._n last_o i_o shall_v add_v that_o the_o swiftness_n of_o water_n or_o river-stream_n be_v the_o root_n of_o the_o power_n that_o cause_v they_o which_o

near_a half_a the_o whole_a discourse_n relate_v to_o ship_n artillery_n fortress_n sea-bank_n etc._n etc._n which_o all_o concern_v his_o majesty_n service_n and_o part_n whereof_o be_v happy_o entrust_v by_o he_o to_o your_o lordship_n care_n i_o think_v i_o may_v express_v my_o affection_n to_o those_o his_o majesty_n concernment_n even_o by_o offer_v this_o my_o mite_n unto_o they_o upon_o the_o whole_a matter_n i_o have_v lay_v hold_v on_o this_o occasion_n to_o publish_v my_o desire_n of_o be_v esteem_v my_o lord_n your_o lordship_n most_o humble_a and_o faithful_a servant_n william_n petty_n ult._n decemb._n 1674._o errata_fw-la page_n 6._o l._n 5._o r._n proportion_n p._n 44._o l._n 1._o r._n be_v for_o be_v p._n 49._o l._n 6._o r._n etc._n etc._n be_v p._n 49._o l._n 13._o r._n moreover_o for_o viz._n ibid._n l._n 14._o r._n mouse_n or_o rather_o some_o small_a animal_n who_o correspondent_a part_n be_v but_o 1_o 12_o in_o length_n of_o the_o horse_n ibid._n l._n ult_n r._n 12_o 144_o for_o 1_o 144_o p._n 87._o l._n 10._o r._n numerus_fw-la for_o numerous_a ib._n l._n 11._o v._n of_o for_o or_o p._n 88_o l._n 8._o r._n whereof_o for_o thereof_o a_o discourse_n to_o the_o royal_a society_n forasmuch_o as_o this_o society_n have_v be_v censure_v though_o without_o much_o cause_n for_o spend_v too_o much_o time_n in_o matter_n not_o direct_o tend_v to_o profit_n and_o palpable_a advantage_n as_o the_o weigh_v of_o air_n and_o the_o like_a i_o have_v therefore_o to_o straighten_v this_o crooked_a stick_n bend_v it_o and_o my_o present_a discourse_n the_o quite_o contrary_a way_n viz._n to_o the_o sail_n and_o shape_v of_o ship_n to_o carpentry_n and_o carriages_n to_o mill_n mill-dam_n bulwark_n to_o the_o labour_n of_o horse_n and_o to_o several_a other_o particular_n the_o which_o be_v not_o only_o gross_a enough_o of_o themselves_o but_o be_v also_o as_o gross_o handle_v in_o this_o exercise_n to_o prevent_v the_o further_a imputation_n of_o needless_a nicety_n and_o to_o leave_v room_n for_o your_o own_o further_a thought_n upon_o the_o same_o and_o forasmuch_o as_o we_o have_v be_v also_o complain_v of_o for_o produce_v nothing_o new_a i_o have_v together_o with_o my_o instance_n and_o application_n above_o and_o hereafter_o mention_v present_v you_o as_o a_o appendix_n to_o what_o be_v say_v of_o spring_n and_o other_o elastique_a body_n with_o a_o new_a theory_n as_o i_o think_v of_o elasticity_n itself_o and_o that_o mechanical_o explicate_v in_o order_n to_o make_v a_o breach_n on_o this_o hard_a rock_n in_o philosophy_n and_o to_o chip_n off_o a_o little_a of_o that_o block_n which_o have_v long_o lie_v thwart_o we_o in_o the_o way_n of_o our_o inquiry_n upon_o the_o whole_a matter_n i_o have_v follow_v the_o example_n of_o elderly_a divine_n who_o find_v their_o flock_n not_o to_o mend_v their_o life_n by_o perplex_a discourse_n about_o predestination_n transubstantiation_n etc._n etc._n betake_v themselves_o at_o last_o to_o preach_v faith_n and_o good_a wookes_z neighbourly_a love_n and_o charity_n or_o do_v as_o we_o will_v be_v do_v unto_o and_o the_o like_a for_o i_o have_v in_o this_o exercise_n decline_v all_o speculation_n not_o tend_v to_o practice_n and_o venture_v at_o few_o new_a hypothesis_n but_o that_o of_o elasticity_n rather_o call_v upon_o you_o to_o review_v your_o own_o former_a observation_n and_o to_o apply_v your_o mathematics_n to_o matter_n so_o as_o both_o may_v be_v improve_v to_o the_o profitable_a purpose_n hereafter_o mention_v wherefore_o the_o title_n and_o scope_n of_o this_o exercise_n be_v several_a instance_n wherein_o the_o consideration_n of_o duplicate_v &_o subduplicate_v propoortion_n or_o wherein_o the_o consideration_n of_o side_n and_o their_o square_n be_v of_o use_n in_o humane_a affair_n and_o the_o instance_n which_o i_o have_v pitch_v upon_o for_o this_o day_n be_v these_o follow_v viz._n 1._o in_o the_o draw_v or_o drive_v power_n which_o force_v ship_n or_o other_o body_n through_o the_o water_n with_o reference_n to_o the_o respective_a velocity_n cause_v thereby_o 2._o in_o the_o shape_n or_o sharpness_n of_o body_n cut_v or_o divide_v the_o water_n through_o which_o they_o be_v drive_v or_o draw_v and_o in_o the_o different_a velocity_n arise_v from_o thence_o where_o the_o body_n and_o force_n be_v equal_a 3._o in_o the_o strength_n of_o timber_n or_o other_o homogeneous_a material_n apply_v to_o building_n to_o cart_n or_o any_o other_o machinament_n intend_v for_o strength_n and_o how_o by_o a_o model_n to_o judge_n the_o sufficiency_n of_o such_o engine_n as_o be_v represent_v by_o it_o 4._o in_o the_o effect_n of_o oar_n upon_o equal_a and_o like_a vessel_n according_a to_o their_o number_n length_n blade_n and_o motion_n with_o or_o against_o the_o stream_n of_o smooth_a or_o uneven_a water_n 5._o in_o the_o motion_n or_o travel_v of_o horse_n on_o their_o several_a pace_n and_o with_o different_a burden_n on_o they_o 6._o in_o the_o strength_n and_o velocity_n of_o mill_n and_o their_o wheel_n 7._o in_o the_o effect_n of_o gunpowder_n 8._o in_o the_o distance_n at_o which_o sound_n may_v be_v hear_v 9_o in_o the_o distance_n at_o which_o odoriferous_a matter_n may_v be_v smell_v 10._o in_o the_o distance_n at_o which_o the_o object_n of_o sight_n may_v be_v see_v 11._o in_o the_o time_n of_o the_o return_v make_v by_o vibrate_v pendule_n 12._o in_o the_o live_v of_o man_n and_o their_o duration_n 13._o in_o musical_a &_o sound_a body_n such_o as_o string_n and_o bell_n 14._o in_o the_o effect_n and_o motion_n of_o fire_n and_o burn_a spirit_n 15._o in_o the_o rise_n and_o fall_v of_o body_n but_o especial_o of_o water_n in_o pump_n overshoot_v mill_n leak_n in_o ship_n the_o height_n of_o river_n at_o their_o head_n above_o their_o fall_n into_o the_o sea_n 16._o in_o bellows_o 17._o in_o the_o price_n of_o several_a commodity_n as_o mast_n diamond_n large_a timber_n amber_n lodestone_n etc._n etc._n 18._o in_o mill-dam_n sea-bank_n and_o in_o the_o bulwark_n or_o wall_n of_o fortress_n 19_o in_o the_o compression_n of_o wool_n and_o other_o elastic_a body_n and_o of_o the_o air_n within_o dive_v vessel_n as_o also_o in_o the_o effect_n of_o skrew-presses_a upon_o several_a material_n have_v thus_o enumerate_v my_o several_a instance_n wherein_o duplicate_v and_o subduplicate_v proportion_n be_v of_o great_a importance_n i_o may_v now_o fall_v downright_a upon_o the_o application_n of_o those_o proportion_n to_o each_o of_o the_o respective_a matter_n above_o mention_v but_o because_o custom_n have_v make_v it_o almost_o necessary_a to_o make_v a_o preface_n to_o every_o discourse_n my_o preface_n to_o this_o one_o lecture_n shall_v be_v such_o as_o may_v serve_v i_o for_o many_o more_o that_o be_v a_o explication_n of_o what_o i_o myself_o at_o least_o understand_v by_o matter_n body_n figure_n place_n motion_n quantity_n quality_n habit_n time_n proportion_n weight_n swiftness_n force_n and_o elasticity_n which_o i_o shall_v do_v without_o impose_v or_o scarce_o recommend_v the_o same_o to_o any_o other_o for_o i_o will_v be_v glad_a when_o any_o man_n speak_v to_o i_o in_o matter_n of_o importance_n by_o word_n which_o he_o use_v often_o that_o he_o will_v first_o give_v i_o a_o dictionary_n of_o such_o word_n to_o contain_v what_o he_o himself_o mean_v by_o each_o of_o they_o wherefore_o i_o shall_v as_o a_o preface_n prefix_v this_o dictionary_n wherein_o i_o dare_v not_o define_v matter_n by_o ens_fw-la or_o substance_n because_o i_o think_v most_o man_n conceive_v matter_n better_o than_o they_o do_v either_o of_o these_o two_o word_n ens_fw-la or_o substance_n nor_o do_v i_o define_v the_o word_n think_v consider_v or_o conceive_v by_o the_o word_n soul_n spirit_n act_n or_o the_o like_a for_o the_o same_o reason_n but_o presume_v you_o all_o understand_v conceive_v imagine_v or_o fancy_v the_o word_n matter_n and_o thought_n as_o well_o as_o any_o other_o i_o can_v use_v i_o venture_v to_o say_v as_o follow_v and_o first_o that_o 1._o place_n be_v the_o image_n or_o fancy_n of_o matter_n or_o matter_n consider_v 2._o quantity_n the_o fancy_n of_o place_n 3._o ratio_fw-la several_a quantity_n consider_v together_o 4._o proportion_n several_a like_o rationes_fw-la 5._o situation_n several_a place_n consider_v together_o 6._o figure_n be_v quantity_n and_o situation_n consider_v together_o 7._o body_n be_v matter_n and_o figure_n consider_v together_o 8._o motion_n be_v change_v of_o place_n 9_o time_n the_o image_n of_o motion_n 10._o quality_n several_a motion_n consider_v together_o 11._o habit_n the_o same_o motion_n repeat_v 12._o likeness_n several_a figure_n or_o quality_n and_o proportion_n consider_v together_o 13._o swiftness_n time_n and_o place_n or_o space_n consider_v together_o 14._o force_n be_v body_n and_o swiftness_n consider_v together_o 15._o right_n be_v