Selected quad for the lemma: life_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
life_n	age_n	live_v	old_a	4,232	5	5.4475	4	false

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

experimentation_n then_o may_v also_o be_v know_v the_o length_n of_o every_o gun_n for_o every_o bullet_n respective_o as_o for_o example_n suppose_v a_o gun_n that_o carry_v a_o ball_n of_o 5_o inch_n diameter_n be_v 10_o foot_n long_o in_o the_o concave_a than_o the_o content_a of_o the_o say_v concave_a will_v be_v 3000_o cylindrical_a inch_n now_o the_o question_n be_v how_o long_o must_v the_o piece_n be_v which_o carry_v a_o bullet_n of_o 7_o inch_n diameter_n i_o say_v that_o forasmuch_o as_o the_o weight_n of_o the_o 5_o inch_n bullet_n to_o that_o of_o 7_o be_v as_o 125_o to_o 343_o the_o concave_a of_o the_o great_a gun_n must_v be_v in_o the_o same_o proportion_n to_o 3000_o viz._n 8232_o like_a inch_n so_o as_o it_o may_v contain_v and_o fire_v a_o proportionable_a quantity_n of_o powder_n which_o 8232_o be_v divide_v by_o the_o area_n of_o the_o bullet_n 49_o the_o quotient_n will_v be_v 168_o inch_n or_o 14_o foot_n that_o be_v to_o speak_v short_o and_o plain_o the_o length_n of_o gun_n must_v be_v measure_v by_o the_o diameter_n of_o their_o respective_a bullet_n i_o can_v say_v i_o have_v try_v the_o effect_n of_o gunpowder_n to_o be_v in_o the_o abovementioned_a proportion_n but_o have_v credible_o hear_v it_o to_o be_v so_o and_o because_o of_o the_o similitude_n of_o sail_n weight_n knock_n and_o the_o other_o point_v above_o describe_v unto_o this_o of_o gunpowder_n i_o believe_v it_o and_o recommend_v it_o to_o your_o further_a thought_n and_o experience_n the_o seven_o instance_n of_o sound_n let_v there_o be_v many_o equal_a sound_n i_o say_v that_o the_o distance_n at_o which_o they_o may_v be_v hear_v be_v the_o root_n of_o the_o number_n of_o such_o sound_n for_o four_o musket_n will_v be_v hear_v twice_o as_o far_o as_o one_o and_o nine_o thrice_o and_o so_o of_o the_o rest_n by_o which_o reckon_v the_o hear_n of_o some_o of_o our_o fleet_n engagement_n with_o the_o dutch_a even_o to_o s._n james_n park_n near_o this_o city_n be_v 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the_o pope_n presage_v of_o the_o battle_n of_o lepanto_n i_o know_v not_o the_o eight_o instance_n of_o smell_v i_o say_v the_o same_o of_o smell_v viz._n that_o the_o distance_n at_o which_o they_o be_v perceive_v be_v the_o root_n of_o the_o quantity_n of_o the_o matter_n out_o of_o which_o they_o be_v emit_v which_o doctrine_n i_o apply_v to_o solve_v what_o i_o once_o do_v hardly_o believe_v viz._n that_o ship_n come_v from_o america_n towards_o portugal_n do_v smell_v the_o rosemary_n and_o other_o odoriferous_a herb_n 60_o mile_n off_o from_o the_o land_n the_o which_o seem_v not_o only_o credible_a but_o very_o likely_a for_o if_o a_o foot_n square_n of_o a_o rosemary-field_n may_v be_v smell_v one_o perch_n or_o rod_n whereof_o 320_o make_v a_o mile_n then_o about_o 8000_o acre_n of_o land_n whereon_o such_o scent_v plant_n do_v grow_v or_o a_o piece_n of_o land_n about_o 4_o mile_n long_o and_o 3_o mile_n broad_a or_o 6_o mile_n long_o and_o 2_o mile_n broad_a may_v be_v smell_v 64_o mile_n and_o 72000_o acre_n of_o the_o like_a land_n or_o a_o parcel_n of_o such_o land_n about_o 11_o mile_n square_a may_v be_v smell_v as_o many_o league_n or_o near_o 200_o mile_n and_o this_o consideration_n i_o pitch_v upon_o as_o one_o of_o the_o ground_n whereupon_o i_o will_v build_v a_o doctrine_n concern_v the_o influence_n of_o the_o star_n and_o other_o celestial_a or_o remote_a body_n upon_o the_o globe_n of_o the_o earth_n and_o its_o inhabitant_n both_o man_n and_o brute_n the_o nine_o instance_n concern_v visible_a object_n i_o say_v also_o that_o four_o equal_a and_o like_a candle_n will_v give_v light_n but_o twice_o as_o far_o as_o one_o and_o 9_o thrice_o as_o far_o and_o that_o 16_o will_v also_o enlighten_v but_o 4_o time_n as_o far_o as_o one_o etc._n etc._n and_o if_o a_o flag_n or_o ships-vane_n of_o a_o yard_n square_a may_v be_v see_v a_o league_n off_o at_o sea_n it_o must_v be_v 2_o yard_n square_a or_o 4_o square_a yard_n to_o be_v see_v 2_o league_n and_o so_o forward_o but_o whoever_o will_v make_v experiment_n hereof_o must_v first_o consider_v how_o many_o mile_n in_o thickness_n of_o a_o middling_a clear_a and_o diaphanous_a air_n do_v make_v a_o opaque_fw-fr for_o we_o find_v that_o although_o a_o very_a thin_a plate_n of_o clear_a glass_n seem_v to_o hinder_v our_o sight_n of_o near_a object_n but_o very_o little_a yet_o we_o also_o know_v that_o great_a number_n of_o they_o suppose_n one_o hundred_o can_v scarce_o be_v see_v through_o at_o all_o hereunto_o also_o must_v be_v add_v the_o consideration_n of_o the_o convexity_n of_o the_o earth_n and_o then_o i_o doubt_v not_o but_o this_o doctrine_n of_o root_n and_o square_n rectify_a and_o correct_v with_o the_o two_o additional_a consideration_n last_o mention_v will_v hold_v concern_v visible_a and_o lucid_a body_n as_o be_v above_o propound_v the_o ten_o instance_n in_o the_o time_n of_o the_o vibration_n of_o pendule_n the_o time_n in_o which_o the_o return_v of_o a_o vibrate_n pendulum_n be_v make_v be_v the_o root_n of_o the_o distance_n between_o the_o centre_n of_o the_o pendulum_n and_o the_o centre_n upon_o which_o it_o move_v i_o shall_v need_v to_o make_v no_o application_n of_o this_o truth_n since_o we_o all_o enjoy_v the_o benefit_n of_o it_o in_o our_o more_o regulate_v clock_n and_o measure_n of_o time_n which_o be_v now_o in_o common_a use_n and_o from_o who_o improvement_n we_o may_v most_o hopeful_o expect_v a_o better_a measure_n of_o longitude_n upon_o the_o surface_n of_o the_o earth_n the_o further_a use_n which_o may_v be_v make_v hereof_o it_o be_v a_o very_a simple_a and_o examinable_a experiment_n be_v to_o witness_v and_o give_v evidence_n to_o other_o the_o more_o abstruse_a and_o complicate_v position_n which_o be_v of_o the_o like_a and_o parallel_a nature_n the_o eleven_o instance_n in_o the_o life_n of_o man_n and_o its_o duration_n it_o be_v find_v by_o experience_n that_o there_o be_v more_o person_n live_v of_o between_o 16_o and_o 26_o year_n old_a than_o of_o any_o other_o age_n or_o decade_n of_o year_n in_o the_o whole_a life_n of_o man_n which_o david_n and_o experience_n say_v to_o be_v between_o 70_o and_o 80_o year_n the_o reason_n whereof_o be_v not_o abstruse_a viz._n because_o those_o of_o 16_o have_v pass_v the_o danger_n of_o tooth_n convulsion_n worm_n rickets_o measles_n and_o smallpox_n for_o the_o most_o part_n and_o for_o that_o those_o of_o 26._o be_v scarce_o come_v to_o the_o gout_n stone_n dropsy_n palsy_n lethargy_n apoplexy_n and_o other_o infirmity_n of_o old_a age._n now_o whether_o these_o be_v sufficient_a reason_n be_v not_o the_o present_a enquiry_n but_o take_v the_o aforementioned_a assertion_n to_o be_v true_a i_o say_v that_o the_o root_n of_o every_o number_n of_o man_n age_n under_o 16_o who_o root_n be_v 4_o compare_v with_o the_o say_a number_n 4_o do_v show_v the_o proportion_n of_o the_o likelihood_n of_o such_o man_n reach_a 70_o year_n of_o age._n as_o for_o example_n it_o be_v 4_o time_n more_o likely_a that_o one_o of_o 16_o year_n old_a shall_v live_v to_o 70_o than_o a_o newborn_a babe_n it_o be_v three_o time_n more_o likely_a that_o one_o of_o 9_o year_n old_a shall_v attain_v the_o say_a age_n of_o 70_o than_o the_o say_a infant_n moreover_o it_o be_v twice_o as_o likely_a that_o one_o of_o 16_o shall_v reach_v that_o age_n as_o that_o one_o of_o 4_o year_n old_a shall_v do_v it_o and_o one_o three_o more_o likely_a than_o for_o one_o of_o nine_o on_o the_o other_o hand_n it_o be_v 5_o to_o 4_o that_o one_o of_o 26_o year_n old_a will_v die_v before_o one_o of_o 16_o and_o 6_o to_o 5_o that_o one_o of_o 36_o will_v die_v before_o one_o of_o

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 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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