Selected quad for the lemma: water_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
water_n	half_a	mix_v	ounce_n	12,503	5	9.3050	4	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

out_o of_o a_o vessel_n at_o the_o bunghole_n without_o pierce_v of_o a_o hole_n in_o the_o vessel_n in_o this_o there_o be_v no_o need_n but_o to_o have_v a_o cane_n or_o pipe_n of_o glass_n or_o such_o like_a one_o of_o the_o end_n of_o which_o may_v be_v close_v up_o almost_o leave_v some_o small_a hole_n at_o the_o end_n for_o than_o if_o that_o end_n be_v set_v into_o the_o vessel_n at_o the_o bunghole_n the_o whole_a cane_n or_o pipe_n will_v be_v fill_v by_o little_a and_o little_a and_o once_o be_v full_a stop_v the_o other_o end_n which_o be_v without_o and_o then_o pull_v out_o the_o cane_n or_o pipe_n so_o will_v it_o be_v full_a of_o wine_n then_o open_v a_o little_a the_o top_n above_o you_o may_v fill_v a_o glass_n or_o other_o pot_n with_o it_o for_o as_o the_o wine_n issue_v out_o the_o air_n come_v into_o the_o cane_n or_o pipe_n to_o supply_v vacuity_n 10._o ten_o how_o to_o measure_v irregular_a body_n by_o help_n of_o water_n some_o throw_n in_o the_o body_n or_o magnitude_n into_o a_o vessel_n and_o keep_v that_o which_o flow_v out_o over_o say_v it_o be_v always_o equal_a to_o the_o thing_n cast_v into_o the_o water_n let_v i●_n be_v more_o nea●er_n this_o way_n to_o pour_v into_o a_o vessel_n such_o a_o quantity_n of_o water_n which_o may_v be_v think_v sufficient_a to_o cover_v the_o body_n or_o magnitude_n and_o make_v a_o mark_n how_o high_a the_o water_n be_v in_o the_o vessel_n then_o pour_v out_o all_o this_o water_n into_o another_o vessel_n and_o let_v the_o body_n or_o magnitude_n be_v place_v into_o the_o first_o vessel_n then_o pour_v in_o water_n from_o the_o second_o vessel_n until_o it_o ascend_v unto_o the_o former_a mark_n make_v in_o the_o first_o vessel_n so_o the_o water_n which_o remain_v in_o the_o second_o vessel_n be_v equal_a to_o the_o body_n or_o magnitude_n put_v into_o the_o water_n but_o here_o note_n that_o this_o be_v not_o exact_a or_o free_a from_o error_n yet_o near_o the_o truth_n than_o any_o geometrician_n can_v otherwise_o possible_o measure_n and_o these_o body_n that_o be_v not_o so_o full_a of_o pore_n be_v more_o true_o measure_v this_o way_n than_o other_o be_v 11._o to_o find_v the_o weight_n of_o water_n see_v that_o 574_o 1000_o part_n of_o a_o ounce_n weight_n make_v a_o cubicall_a inch_n of_o water_n and_o every_o pound_n weight_n haverdepoize_n make_v 27_o cubicall_a inch_n and_o 1_o 9_o ●_o fere_n and_o that_o ●_o gallon_n and_o a_o half_a wine_n measure_n make_v a_o foot_n cubicall_a it_o be_v easy_a by_o inversion_n that_o know_v the_o quantity_n of_o a_o vessel_n in_o gallon_n to_o find_v his_o content_n in_o cubicall_a foot_n or_o weight_n and_o that_o late_a famous_a geometrician_n master_n brig_v find_v a_o cubical_a foot_n of_o water_n to_o weigh_v near_o 62_o pound_n weight_n haverdepoize_v but_o the_o late_a learned_a simon_n stevin_n find_v a_o cubicall_a foot_n of_o water_n to_o weigh_v 65_o pound_n which_o difference_n may_v arise_v from_o the_o inequality_n of_o water_n for_o some_o water_n be_v more_o ponderous_a than_o other_o and_o some_o difference_n may_v be_v from_o the_o weight_n of_o a_o pound_n and_o the_o measure_n of_o a_o foot_n thus_o the_o weight_n and_o quantity_n of_o a_o solid_a foot_n settle_v it_o be_v easy_a for_o arithmetician_n to_o give_v the_o content_n of_o vessel_n or_o body_n which_o contain_v liquid_n 12._o to_o find_v the_o charge_n that_o a_o vessel_n may_v carry_v as_o ship_n boat_n or_o such_o like_a this_o be_v general_o conceive_v that_o a_o vessel_n may_v carry_v as_o much_o weight_n as_o that_o water_n weigh_v which_o be_v equal_a unto_o the_o vessel_n in_o bigness_n in_o abate_v only_o the_o weight_n of_o the_o vessel_n we_o see_v that_o a_o barrel_n of_o wine_n or_o water_n cast_v into_o the_o water_n will_v not_o sink_v to_o the_o bottom_n but_o swim_v easy_o and_o if_o a_o ship_n have_v not_o iron_n and_o other_o ponderosity_n in_o it_o it_o may_v swim_v full_a of_o water_n without_o sink_v in_o the_o same_o manner_n if_o the_o vessel_n be_v load_v with_o lead_n so_o much_o shall_v the_o water_n weigh_v hence_o it_o be_v that_o mariner_n call_v ship_n of_o 50_o thousand_o ton_n because_o they_o may_v contain_v one_o or_o two_o thousand_o tun_n and_o so_o consequent_o carry_v as_o much_o 13._o how_o come_v it_o that_o a_o ship_n have_v safe_o sail_v in_o the_o vast_a ocean_n and_o be_v come_v into_o the_o port_n or_o harbour_n without_o any_o tempest_n will_v sink_v down_o right_a the_o cause_n of_o this_o be_v that_o a_o vessel_n may_v carry_v more_o upon_o some_o kind_n of_o water_n than_o upon_o other_o now_o the_o water_n of_o the_o sea_n be_v thick_a and_o heavy_a than_o that_o of_o river_n well_n or_o fountain_n therefore_o the_o load_n of_o a_o vessel_n which_o be_v account_v sufficient_a in_o the_o sea_n become_v too_o great_a in_o the_o hurbour_n or_o sweet_a water_n now_o some_o think_v that_o it_o be_v the_o depth_n of_o the_o water_n that_o make_v vessel_n more_o easy_a to_o swim_v but_o it_o be_v a_o abuse_n for_o if_o the_o load_n of_o a_o ship_n be_v no_o heavy_a than_o the_o water_n that_o will_v occupy_v that_o place_n the_o ship_n shall_v as_o easy_o swim_v upon_o that_o water_n as_o if_o it_o do_v swim_v upon_o a_o thousand_o fathom_n deep_a of_o water_n and_o if_o the_o water_n be_v no_o thick_a than_o a_o leaf_n of_o paper_n and_o weigh_v but_o a_o ounce_n under_o a_o heavy_a body_n it_o will_v support_v it_o as_o well_o as_o if_o the_o water_n under_o it_o weigh_v ten_o thousand_o pound_n weight_n hence_o it_o be_v if_o there_o be_v a_o vessel_n capable_a of_o a_o little_a more_o than_o a_o thousand_o pound_n weight_n of_o water_n you_o may_v put_v into_o this_o vessel_n a_o piece_n of_o wood_n which_o shall_v weigh_v a_o thousand_o pound_n weight_n but_o light_a in_o his_o kind_n than_o the_o like_a of_o magnitude_n of_o water_n for_o then_o pour_v in_o but_o a_o quart_n of_o water_n or_o a_o very_a little_a quantity_n of_o water_n the_o wood_n will_v swim_v on_o the_o top_n of_o it_o provide_v that_o the_o wood_n touch_v not_o the_o side_n of_o the_o vessel_n which_o be_v a_o fine_a experiment_n and_o seem_v admirable_a in_o the_o performance_n 14._o how_o a_o gross_a body_n of_o mettle_n may_v swim_v upon_o the_o water_n this_o be_v do_v by_o extend_v the_o mettle_n into_o a_o thin_a plate_n to_o make_v it_o hollow_v in_o form_n of_o a_o vessel_n so_o that_o the_o greatness_n of_o the_o vessel_n which_o the_o air_n with_o it_o contain_v be_v equal_a to_o the_o magnitude_n of_o the_o water_n which_o weigh_v as_o much_o as_o it_o for_o all_o body_n may_v swim_v without_o sink_v if_o they_o occupy_v the_o place_n of_o water_n equal_a in_o weight_n unto_o they_o as_o if_o it_o weigh_v 12_o pound_n it_o must_v have_v the_o place_n of_o 12_o pound_n of_o water_n hence_o it_o be_v that_o we_o see_v float_v upon_o the_o water_n great_a vessel_n of_o copper_n or_o brass_n when_o they_o be_v 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copper_n 91_o iron_n 81_o tin_n 75_o from_o which_o be_v infer_v that_o to_o make_v a_o piece_n of_o copper_n of_o ●0_n pound_n weight_n to_o swim_v it_o must_v be_v so_o make_v hollow_a that_o it_o may_v hold_v 9_o time_n that_o weight_n of_o water_n and_o somewhat_o more_o that_o be_v to_o say_v 91_o pound_n see_v that_o copper_n and_o water_n of_o like_a magnitude_n in_o their_o ponderosity_n be_v as_o before_o as_o ●0_n to_o 91._o 15._o how_o to_o weigh_v the_o lightness_n of_o the_o air_n place_v a_o balance_n of_o wood_n turn_v upside_o down_o into_o the_o water_n that_o so_o it_o may_v swim_v then_o let_v water_n be_v enclose_v

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the_o magistrate_n of_o the_o city_n understand_v geometrical_a proportion_n he_o will_v soon_o cause_v it_o to_o be_v amend_v &_o show_v that_o he_o have_v not_o only_o take_v twice_o as_o much_o water_n as_o he_o have_v before_o but_o four_o time_n as_o much_o for_o a_o circular_a hole_n which_o be_v two_o inch_n diameter_n be_v four_o time_n great_a than_o that_o of_o one_o inch_n and_o therefore_o will_v cast_v out_o four_o time_n as_o much_o water_n as_o that_o of_o one_o inch_n and_o so_o the_o deceit_n be_v double_a also_o in_o this_o moreover_o if_o there_o be_v a_o heap_n of_o corn_n of_o 20_o foot_n every_o way_n which_o be_v borrow_v to_o be_v pay_v next_o year_n the_o party_n have_v his_o corn_n in_o heap_n of_o 12_o foot_n every_o way_n and_o of_o 10_o foot_n every_o way_n proffer_v he_o 4_o heap_n of_o the_o great_a or_o 7_o heap_n of_o the_o lesser_a for_o his_o own_o heap_n of_o 20_o every_o way_n which_o be_v lend_v here_o it_o seem_v that_o the_o proffer_n be_v fair_a nay_o with_o advantage_n yet_o the_o loss_n will_v be_v near_o 1000_o foot_n infinite_a of_o such_o cause_n do_v arise_v from_o geometrical_a figure_n which_o be_v able_a to_o deceive_v a_o judge_n or_o magistrate_n which_o be_v not_o somewhat_o see_v in_o mathematical_a document_n problem_n lxxxviii_o contain_v sundry_a question_n in_o matter_n of_o cosmography_n first_o it_o may_v be_v demand_v where_o be_v the_o middle_n of_o the_o world_n i_o speak_v not_o here_o mathematical_o but_o as_o the_o vulgar_a people_n who_o ask_v where_o be_v the_o middle_n of_o the_o world_n in_o this_o sense_n to_o speak_v absolute_o there_o be_v no_o point_n which_o may_v be_v say_v to_o be_v the_o middle_n of_o the_o surface_n for_o the_o middle_n of_o a_o globe_n be_v every_o where_o notwithstanding_o the_o holy_a scripture_n speak_v respective_o and_o make_v mention_n of_o the_o middle_n of_o the_o earth_n and_o the_o interpreter_n apply_v it_o to_o the_o city_n of_o jerusalem_n place_v in_o the_o middle_n of_o palestina_n and_o the_o habitable_a world_n that_o in_o effect_n take_v a_o map_n of_o the_o world_n and_o place_v one_o foot_n of_o the_o compass_n upon_o jerusalem_n and_o extend_v the_o other_o foot_n to_o the_o extremity_n of_o europe_n asia_n and_o afric●_n you_o shall_v see_v that_o the_o city_n of_o jerusalem_n be_v as_o a_o centre_n to_o that_o circle_n 2._o second_o how_o much_o be_v the_o depth_n of_o the_o earth_n the_o height_n of_o the_o heaven_n and_o the_o compass_n of_o the_o world_n from_o the_o surface_n of_o the_o earth_n unto_o the_o centre_n according_a to_o ancient_a tradition_n be_v 3436._o mile_n so_o the_o whole_a thickness_n be_v 6872_o mile_n of_o which_o the_o whole_a compass_n or_o