Selected quad for the lemma: water_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
water_n	dram_n	half_a	mix_v	6,566	5	10.1003	5	true

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A48262	Mathematicall recreations. Or, A collection of many problemes, extracted out of the ancient and modern philosophers as secrets and experiments in arithmetick, geometry, cosmographie, horologiographie, astronomie, navigation, musick, opticks, architecture, statick, mechanicks, chemistry, water-works, fire-works, &c. Not vulgarly manifest till now. Written first in Greeke and Latin, lately compi'ld in French, by Henry Van Etten, and now in English, with the examinations and augmentations of divers modern mathematicians whereunto is added the description and use of the generall horologicall ring: and the double horizontall diall. Invented and written by William Oughtred.; Récréation mathématique. English.	Oughtred, William, 1575-1660. aut	1653 (1653)	Wing L1790; ESTC R217635	140,825	339

a_o pit_n continual_o to_o ascend_v without_o strength_n or_o the_o assistance_n of_o any_o other_o pump_n let_v il_fw-fr be_v the_o pit_n where_o one_o will_v cause_v water_n to_o ascend_v continual_o to_o ●●ach_v office_n of_o a_o house_n or_o the_o place_n which_o be_v separate_v from_o it_o let_v there_o be_v make_v a_o receive●_n as_o a_o well_o close_v up_o with_o lead_n or_o other_o matter_n that_o air_n enter_v not_o in_o to_o which_o fasten_v a_o pipe_n of_o lead_v as_o at_o e_o which_o may_v have_v vent_n at_o pleasure_n then_o let_v there_o be_v make_v a_o cistern_n as_o b_o which_o may_v be_v communicative_a to_o a_o by_o help_n of_o the_o pipe_n g_o from_o which_o cistern_n b_o may_v issue_v the_o water_n of_o pipe_n d_o which_o may_v descend_v to_o h_n which_o be_v a_o little_a below_o the_o level_n of_o the_o water_n of_o the_o pit_n as_o much_o as_o be_v gh_a to_o the_o end_n of_o which_o shall_v be_v solder_v close_o a_o cock_n which_o shall_v cast_v out_o the_o water_n by_o kh_n now_o to_o make_v use_n of_o it_o let_v b_o be_v fill_v full_a of_o water_n and_o when_o you_o will_v have_v it_o run_v turn_v the_o cock_n for_o then_o the_o water_n in_o b_o will_v descend_v by_o k._n and_o for_o fear_v that_o there_o shall_v be_v vacuity_n nature_n which_o abhor_v it_o will_v labour_v to_o furnish_v and_o supply_v that_o emptiness_n out_o of_o the_o spring_n f_o and_o that_o the_o pit_n dry_v not_o the_o pipe_n ought_v to_o be_v small_a of_o a_o indifferent_a capacity_n according_a to_o the_o greatness_n or_o smallness_n of_o the_o spring_n problem_n cxiiii_o how_o out_o of_o a_o fountain_n to_o cast_v the_o water_n very_o high_a different_a from_o a_o problem_n former_o deliver_v let_v the_o fountain_n be_v bd_o of_o a_o round_a form_n see_v it_o be_v the_o most_o capable_a and_o most_o perfect_a figure_n place_n into_o it_o two_o pipe_n conjoin_v as_o ea_fw-la and_o hc_n so_o that_o no_o air_n may_v enter_v in_o at_o the_o place_n of_o join_v let_v each_o of_o the_o pipe_n have_v a_o cock_n g_o &_o l_o the_o cock_n at_o g_o be_v close_v open_z that_o at_o ay_o &_o so_o with_o a_o squirt_n force_v the_o water_n through_o the_o hole_n at_o h_n then_o close_a the_o cock_n at_o a_o &_o draw_v out_o the_o squirt_n and_o open_v the_o cock_n at_o g._n the_o air_n be_v before_o rarify_v will_v extend_v his_o dimension_n and_o force_v the_o water_n with_o such_o violence_n that_o it_o will_v amount_v above_o the_o height_n of_o one_o or_o two_o pipe_n and_o so_o much_o the_o more_o by_o how_o much_o the_o machine_n be_v great_a this_o violence_n will_v last_v but_o a_o little_a while_n if_o the_o pipe_n have_v too_o great_a a_o open_n for_o as_o the_o air_n approach_v to_o his_o natural_a place_n so_o the_o force_n will_v diminish_v problem_n cxv_o how_o to_o empty_v the_o water_n of_o a_o cistern_n by_o a_o pipe_n which_o shall_v have_v a_o motion_n of_o itself_o let_v ab_fw-la be_v the_o vessel_n cde_v the_o pipe_n hg_v a_o little_a vessel_n under_o the_o great_a in_o which_o one_o end_n of_o the_o pipe_n be_v viz._n c_o and_o let_v the_o other_o end_n of_o the_o pipe_n e._n pass_v through_o the_o bottom_n of_o the_o vessel_n at_o f_o then_o as_o the_o vessel_n fill_v so_o will_v the_o pipe_n and_o when_o the_o vessel_n shall_v be_v full_a as_o far_o as_o po_n the_o pipe_n will_v begin_v to_o run_v at_o e_o of_o his_o own_o accord_n and_o never_o cease_v until_o the_o vessel_n be_v whole_o empty_a problem_n cxvi_o how_o to_o squirt_n or_o spout_v out_o a_o great_a height_n so_o that_o one_o pot_n of_o water_n shall_v last_v a_o long_a time_n let_v there_o be_v prepare_v two_o vessel_n of_o brass_n lead_v or_o of_o other_o matter_n of_o equal_a substance_n as_o be_v the_o two_o vessel_n ab_fw-la and_o bd_o &_o let_v they_o be_v join_v together_o by_o the_o two_o pillar_n mn_v &_o of_o then_o let_v there_o be_v a_o pipe_n hg_v which_o may_v pass_v through_o the_o cover_n of_o the_o vessel_n cd_o and_o pass_v through_o ab_fw-la into_o g_o make_v a_o little_a bunch_n or_o rise_n in_o the_o cover_n of_o the_o vessel_n ab_fw-la so_o that_o the_o pipe_n touch_v it_o not_o at_o the_o bottom_n then_o let_v there_o be_v solder_v fast_o another_o pipe_n il_fw-fr which_o may_v be_v separate_v from_o the_o bottom_n of_o the_o vessel_n and_o may_v have_v his_o bunchie_a swell_n as_o the_o former_a without_o touch_v the_o bottom_n as_o be_v represent_v in_o l_o and_o pass_v through_o the_o bottom_n of_o ab_fw-la may_v be_v continue_v unto_o ay_o that_o be_v to_o say_v to_o make_v a_o open_n to_o the_o cover_n of_o the_o vessel_n ab_fw-la &_o let_v it_o have_v a_o little_a mouth_n as_o a_o trumpet_n to_o that_o end_n to_o receive_v the_o water_n then_o there_o must_v further_o be_v add_v a_o very_a small_a pipe_n which_o may_v pass_v through_o the_o bottom_n of_o the_o vessel_n ab_fw-la as_o let_v it_o be_v open_a and_o let_v there_o be_v a_o bunch_n or_o swell_v over_o it_o as_o at_o p_o so_o that_o it_o touch_v not_o also_o the_o bottom_n let_v there_o be_v further_o make_v to_o this_o lesser_a vessel_n a_o edge_n in_o form_n of_o a_o basin_n to_o receive_v the_o water_n which_o be_v do_v pour_v water_n into_o the_o pipe_n il_fw-fr until_o the_o vessel_n cd_o be_v full_a then_o turn_v the_o whole_a machine_n upside_o down_o that_o the_o vessel_n cd_o may_v be_v uppermost_a and_o ab_fw-la undermost_a so_o by_o help_n of_o the_o pipe_n gh_o the_o water_n of_o the_o vessel_n cd_o will_v run_v into_o the_o vessel_n ab_fw-la to_o have_v passage_n by_o the_o pipe_n po._n this_o motion_n be_v pleasant_a at_o a_o feast_n in_o fill_v the_o say_a vessel_n with_o wine_n which_o will_v spout_v it_o out_o as_o though_o it_o be_v from_o a_o boil_a fountain_n in_o the_o form_n of_o a_o thread_n very_o pleasant_a to_o behold_v problem_n cxviii_o how_o to_o practice_v excellent_o the_o reanimation_n of_o simple_n in_o case_n the_o plant_n may_v not_o be_v transport_v to_o be_v replant_v by_o reason_n of_o distance_n of_o place_n take_v what_o simple_a you_o please_v burn_v it_o and_o take_v the_o ash_n of_o it_o and_o let_v it_o be_v calcinate_a two_o hour_n between_o two_o creuset_n well_o lute_v and_o extract_v the_o salt_n that_o be_v to_o put_v water_n into_o it_o in_o move_v of_o it_o then_o let_v it_o settle_v and_o do_v it_o two_o or_o three_o time_n afterward_o evaporate_v it_o that_o be_v let_v the_o water_n be_v boil_a in_o some_o vessel_n until_o it_o be_v all_o consume_v then_o there_o will_v remain_v a_o salt_n at_o the_o bottom_n which_o you_o shall_v afterward_o sow_v in_o good_a ground_n well_o prepare_v such_o as_o the_o theatre_n of_o husbandry_n show_v and_o you_o shall_v have_v your_o desire_n problem_n cviii_o how_o to_o make_v a_o infalliable_a perpetual_a motion_n myxe_n 5._o or_o 6._o ounce_n of_o ☿_o with_o be_v equal_a weight_n of_o ♃_o grind_v it_o together_o with_o 10._o or_o 12_o ounce_n of_o sublimate_n dissolve_v in_o a_o cellar_n upon_o a_o marble_n the_o space_n of_o four_o day_n and_o it_o will_v become_v like_o oil_n olive_n which_o distil_v with_o fire_n of_o chaff_n or_o drive_v fire_n and_o it_o will_v sublime_a dry_a substance_n than_o put_v water_n upon_o the_o earth_n in_o form_n of_o lie_n which_o will_v be_v at_o the_o bottom_n of_o the_o limbeck_n and_o dissolve_v that_o which_o you_o can_v filter_n it_o then_o distil_v it_o and_o there_o will_v be_v produce_v very_o subtle_a antome_n which_o put_v into_o a_o bottle_n close_o stop_v and_o keep_v it_o dry_a and_o you_o shall_v have_v your_o desire_n with_o astonishment_n to_o all_o the_o world_n and_o especial_o to_o those_o which_o have_v travel_v herein_o without_o fruit_n problem_n cxix_o of_o the_o admirable_a invention_n of_o make_v the_o philosopher_n tree_n which_o one_o may_v see_v with_o his_o eye_n to_o grow_v by_o little_a and_o little_a take_v two_o ounce_n of_o aqua_fw-la fortis_fw-la and_o dissolve_v in_o it_o half_a a_o ounce_n of_o fine_a silver_n refine_v in_o a_o cappell_n then_o take_v a_o ounce_n of_o aqua_fw-la fortis_fw-la and_o two_o dram_n of_o quicksilver_n which_o put_v in_o it_o and_o mix_v these_o two_o dissolve_a thing_n together_o then_o cast_v it_o into_o a_o vial_n of_o half_a a_o pound_n of_o water_n which_o may_v be_v well_o stop_v for_o then_o every_o day_n you_o may_v see_v it_o grow_v both_o in_o the_o tree_n and_o in_o the_o branch_n this_o liquid_a serve_v to_o black_a hair_n which_o be_v red_a or_o white_a without_o fade_v until_o they_o fall_v but_o here_o be_v to_o be_v note_v that_o great_a care_n ought_v to_o be_v

of_o the_o account_n there_o need_v not_o to_o express_v they_o but_o this_o number_n 30840979456_o and_o 35_o cipher_n at_o the_o end_n of_o it_o clavius_n and_o archimedes_n make_v it_o somewhat_o more_o because_o they_o make_v a_o great_a firmament_n than_o tycho_n brahe_n do_v and_o if_o they_o augment_v the_o universe_n it_o be_v easy_a for_o we_o to_o augment_v the_o number_n and_o declare_v assure_o how_o many_o grain_n of_o sand_n there_o be_v requisite_a to_o fill_v another_o world_n in_o comparison_n that_o our_o visible_a world_n be_v but_o as_o one_o grain_n of_o sand_n a_o atom_n or_o a_o point_n for_o there_o be_v nothing_o to_o do_v but_o to_o multiply_v the_o number_n by_o itself_o which_o will_v amount_v to_o ninety_o place_n whereof_o twenty_o be_v these_o 95143798134910955936_o and_o 70_o cipher_n at_o the_o end_n of_o it_o which_o amount_v to_o a_o most_o prodigious_a number_n and_o be_v easy_o supputate_v for_o suppose_v that_o a_o grain_n of_o poppy_n do_v contain_v 10_o grain_n of_o sand_n there_o be_v nothing_o but_o to_o compare_v that_o little_a bowl_n of_o a_o grain_n of_o poppy_n with_o a_o bowl_n of_o a_o inch_n or_o of_o a_o foot_n &_o that_o to_o be_v compare_v with_o that_o of_o the_o earth_n and_o then_o that_o of_o the_o earth_n with_o that_o o_o the_o firmament_n and_o so_o of_o the_o rest_n 2._o divers_a metal_n be_v melt_v together_o in_o one_o body_n to_o find_v the_o mixture_n of_o they_o this_o what_o a_o notable_a invention_n of_o archimedes_n relate_v by_o vitrivius_n in_o his_o architecture_n where_o he_o report_v that_o the_o goldsmith_n which_o king_n hiero_n employ_v for_o the_o make_n of_o the_o golden_a crown_n which_o be_v to_o be_v dedicate_v to_o the_o god_n have_v steal_v part_n of_o it_o and_o mix_v silver_n in_o the_o place_n of_o it_o the_o king_n suspicious_a of_o the_o work_n propose_v it_o to_o archimedes_n if_o by_o art_n he_o can_v discover_v without_o break_v of_o the_o crown_n if_o there_o have_v be_v make_v mixture_n of_o any_o other_o metal_n with_o the_o gold_n the_o way_n which_o he_o find_v out_o be_v by_o bathe_v himself_o for_o as_o he_o enter_v into_o the_o vessel_n of_o water_n in_o which_o he_o bathe_v himself_o so_o the_o water_n ascend_v or_o fly_v out_o over_o it_o and_o as_o he_o pull_v out_o his_o body_n the_o water_n descend_v from_o which_o he_o gather_v that_o if_o a_o bowl_n of_o pure_a gold_n silver_n or_o other_o metal_n be_v cast_v into_o a_o vessel_n of_o water_n the_o water_n proportional_o according_a to_o the_o thing_n cast_v in_o will_v ascend_v and_o so_o by_o way_n of_o arithmetic_n the_o question_n lie_v open_a to_o be_v resolve_v who_o be_v so_o intensive_o take_v with_o the_o invention_n leap_v out_o of_o the_o bath_n all_o naked_a cry_v as_o a_o man_n transport_v i_o have_v find_v i_o have_v find_v and_o so_o discover_v it_o now_o some_o say_v that_o he_o take_v two_o mass_n the_o one_o of_o pure_a gold_n and_o the_o other_o of_o pure_a silver_n each_o equal_a to_o the_o weight_n of_o the_o crown_n and_o therefore_o unequal_a in_o magnitude_n or_o greatness_n and_o then_o know_v the_o several_a quantity_n of_o water_n which_o be_v answerable_a to_o the_o crown_n and_o the_o several_a mass_n he_o subtle_o collect_v that_o if_o the_o crown_n occupy_v more_o place_n within_o the_o water_n than_o the_o mass_n of_o gold_n do_v it_o appear_v that_o there_o be_v silver_n or_o other_o metal_n melt_v with_o it_o now_o by_o the_o rule_n of_o position_n suppose_v that_o each_o of_o the_o three_o mass_n weigh_v 18_o pound_n a_o piece_n and_o that_o the_o mass_n of_o gold_n do_v occupy_v the_o place_n of_o one_o pound_n of_o water_n that_o of_o silver_n a_o pound_n and_o a_o half_a and_o the_o crown_n one_o pound_n and_o a_o quarter_n only_o then_o thus_o he_o may_v operate_v the_o mass_n of_o silver_n which_o weigh_v 18_o pound_n cast_v into_o the_o water_n do_v cast_v out_o half_a a_o pound_n of_o water_n more_o than_o the_o mass_n of_o gold_n which_o weigh_v 18_o pound_n and_o the_o crown_n which_o weigh_v also_o 18_o pound_n be_v put_v into_o a_o vessel_n full_a of_o water_n throw_v out_o more_o water_n than_o the_o mass_n of_o gold_n by_o a_o quarter_n of_o a_o pound_n because_o of_o mix_a metal_n which_o be_v in_o it_o therefore_o by_o the_o rule_n of_o proportion_n if_o half_a a_o pound_n of_o water_n the_o excess_n be_v answerable_a to_o 18_o pound_n of_o silver_n one_o quarter_n of_o a_o pound_n of_o excess_n shall_v be_v answerable_a to_o 9_o pound_n of_o silver_n and_o so_o much_o be_v mix_v in_o the_o crown_n some_o judge_n the_o way_n to_o be_v more_o facile_a by_o weigh_v the_o crown_n first_o in_o the_o air_n then_o in_o the_o water_n in_o the_o air_n it_o weigh_v 18_o pound_n and_o if_o it_o be_v pure_a gold_n in_o the_o water_n it_o will_v weigh_v but_o 17_o pound_n if_o it_o be_v copper_n it_o will_v weigh_v but_o 16_o pound_n but_o because_o we_o will_v suppose_v that_o gold_n and_o copper_n be_v mix_v together_o it_o will_v weigh_v less_o than_o 17_o pound_n yet_o more_o than_o 16_o pound_n and_o that_o according_a to_o the_o proportion_n mix_v let_v it_o then_o be_v suppose_v that_o it_o weigh_v in_o the_o water_n 16_o pound_n and_o 3_o quarter_n than_o may_v one_o say_v by_o proportion_n if_o the_o difference_n of_o one_o pound_n of_o loss_n which_o be_v between_v 16_o and_o 17_o be_v answerable_a to_o 18_o pound_n to_o what_o shall_v one_o quarter_n of_o difference_n be_v answerable_a to_o which_o be_v between_v 17_o and_o 16_o ¾_n and_o it_o will_v be_v 4_o pound_n and_o a_o half_a and_o so_o much_o copper_n be_v mix_v with_o the_o gold_n many_o man_n have_v deliver_v sundry_a way_n to_o resolve_v this_o proposition_n since_o archimedes_n invention_n and_o it_o be_v tedious_a to_o relate_v the_o diversity_n baptista_n benedictus_n among_o his_o arithmetical_a theorem_n deliver_v his_o way_n thus_o if_o a_o mass_n of_o gold_n of_o equal_a bigness_n to_o the_o crown_n do_v weigh_v 20_o pound_n and_o another_o of_o silver_n at_o a_o capacity_n or_o bigness_n at_o pleasure_n as_o suppose_v do_v weigh_v 12_o pound_n the_o crown_n or_o the_o mix_a body_n will_v weigh_v more_o than_o the_o silver_n and_o lesser_a than_o the_o gold_n suppose_v it_o weigh_v 16_o pound_n which_o be_v 4_o pound_n less_o than_o the_o gold_n by_o 8_o pound_n then_o may_v one_o say_v if_o 8_o pound_n of_o difference_n come_v from_o 12_o pound_n of_o silver_n from_o whence_o come_v 4_o pound_n which_o will_v be_v 6_o pound_n and_o so_o much_o silver_n be_v mix_v in_o it_o etc._n etc._n 3._o three_o man_n buy_v a_o quantity_n of_o wine_n each_o pay_v alike_o and_o each_o be_v to_o have_v alike_o it_o happen_v at_o the_o last_o partition_n that_o there_o be_v 21_o barrel_n of_o which_o 7_o be_v full_a 7_o half_a full_a and_o 7_o empty_a how_o must_v they_o share_v the_o wine_n and_o vessel_n that_o each_o have_v as_o many_o vessel_n one_o as_o another_o &_o as_o much_o wine_n one_o as_o another_o this_o may_v be_v answer_v two_o way_n as_o follow_v and_o these_o number_n 2_o 2_o 3_o or_o 3_o 3_o 1_o may_v serve_v for_o direction_n and_o signify_v that_o the_o first_o person_n ought_v to_o have_v 3_o barrel_n full_a and_o as_o many_o empty_a one_o and_o one_o which_o be_v half_a full_a so_o he_o shall_v have_v 7_o vessel_n and_o 3_o barrel_n and_o a_o half_a of_o liquor_n and_o one_o of_o the_o other_o shall_v in_o like_a manner_n have_v as_o much_o so_o there_o will_v remain_v for_o the_o three_o man_n 1_o barrel_n full_a 5_o which_o be_v half_o full_a and_o 1_o empty_a and_o so_o every_o one_o shall_v have_v alike_o both_o in_o vessel_n and_o wine_n and_o general_o to_o answer_v such_o question_n divide_v the_o number_n of_o vessel_n by_o the_o number_n of_o person_n and_o if_o the_o quotient_n be_v not_o a_o entire_a number_n the_o question_n be_v impossible_a but_o when_o it_o be_v a_o entire_a number_n there_o must_v be_v make_v as_o many_o part_n as_o 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many_o people_n assemble_v it_o will_v cause_v a_o extreme_a fear_n to_o those_o which_o come_v therein_o in_o the_o night_n know_v not_o what_o it_o be_v problem_n cxxv_o how_o out_o of_o a_o quantity_n of_o wine_n to_o extract_v that_o which_o be_v most_o windy_a and_o evil_a that_o it_o hurt_v not_o a_o sick_a person_n take_v two_o vial_n in_o such_o sort_n that_o they_o be_v of_o like_a greatness_n both_o in_o th●_n belly_n and_o the_o neck_n fill_v one_o of_o they_o of_o wine_n and_o the_o other_o of_o water_n let_v the_o mouth_n of_o that_o which_o have_v the_o water_n be_v place_v into_o the_o mouth_n of_o that_o which_o have_v the_o wine_n so_o the_o water_n shall_v be_v uppermost_a now_o because_o the_o water_n be_v heavy_a than_o the_o wine_n it_o will_v descend_v into_o the_o other_o vial_n and_o the_o wine_n which_o be_v low_a because_o it_o be_v high_a will_v ascend_v above_o to_o supply_v the_o place_n of_o the_o water_n and_o so_o there_o will_v be_v a_o mutual_a interchange_n of_o liquid_n and_o by_o this_o penetration_n the_o wine_n will_v lose_v her_o vapour_n in_o pass_v through_o the_o water_n problem_n cxxvi_o how_o to_o make_v two_o marmouzet_n one_o of_o which_o shall_v light_v a_o candle_n and_o the_o other_o put_v it_o out_o upon_o the_o side_n of_o a_o wall_n make_v the_o figure_n of_o a_o marmouzet_n or_o other_o animal_n or_o form_n and_o right_a against_o it_o on_o the_o other_o wall_n make_v another_o in_o the_o mouth_n of_o each_o put_v a_o pipe_n or_o quill_n so_o artificial_o that_o it_o be_v not_o perceive_v in_o one_o of_o which_o place_n salt_n peter_n very_o fine_a and_o dry_a and_o pulverize_a and_o at_o the_o end_n set_v a_o little_a match_n of_o paper_n in_o the_o other_o place_n sulphur_n beat_v small_a then_o hold_v a_o candle_n light_v in_o your_o hand_n say_v to_o one_o of_o these_o image_n by_o way_n of_o command_n blow_v out_o the_o candle_n then_o light_v the_o paper_n with_o the_o candle_n the_o salt-peter_n 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