Schott, Gaspar
,
Mechanica hydraulico-pneumatica. Pars I. Mechanicae Hydraulico-pnevmaticae Theoriam continet.
,
1657
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Axioma hy
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draulicum.</
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Tertia Proprietas.
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Aqua per
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longius crus
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ſiphonis ce
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leriùs cur
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rit, quàm
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per brevius.
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>AQua per longius crus ſiphonis inverſi eò currit celeriùs, quò
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longius fuerit crus. </
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>Ratio eſt, quia quò longius eſt crus, eò
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longius eſt aquæ deſcendentis
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, ac proinde eò ma
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ius pondus incumbit aquæ prope os, eòque magis premitur a
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qua in egreſlu, celeriúsque propterea effluit, & conſequenter ce
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leriùs deſcendit. </
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Axioma Hydraulicum IV.
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Axioma hy
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draulicum.
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In hydraulicis per ſiphones & tubos longiores celeriùs fluit aqua,
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quàm per breviores, poſito eodem, aut æquali orificio per quod effluit.
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Quarta Proprietas.
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Aqua per
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fluit
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difformi
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celeritate.
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<
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>AQua per longius crus ſiphonis inverſi non effluit celeritate v
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niformi, ſed difformi; augetur enim continuò celeritas de
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ſcenſus, donec exhauſtum ſit crus oppoſitum: nunquam tamen
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deſcendit tam celeriter aqua, quàm ſi liberè, hoc eſt, non per
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ſiphonem, ſed per tubum, aut extra tubum vel canalem deſcen
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deret. </
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>Ratio eſt, quia aqua effluens per crus longius AB, in an
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tea poſito, & in quocunque alio ſiphone, debet ſecum trahere
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contranitentem aquam cruris brevioris CB, nè detur vacuum
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intra ſiphonem; quæ aqua cruris brevioris quoniam continuò
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minuitur effluente aqua per os A, ideo faciliùs ſemper ac faci
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liùs attrahitur ab aqua cruris longioris AB; cuius proinde
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dentis</
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celeritas continuò intenditur, donec exhauſtum ſit to
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tum crus CB. </
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>Non æquat tamen celeritatem eam, quâ liberè
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deſcenderet, non trahendo ſecum aquam alterius cruris; quia
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quàm diu reſtat aliquid aquæ in crure breviori CB, attrahere
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illud debet, vt poſſit effluere, ac proin de ſemper aliquid retinet
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impedimenti; quo caret, dum liberè cadit. </
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<
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>Adde quòd quò
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diutiùs aqua effluit per A, eò aquæ cruris CB ſuperficies ex
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trema C magis aſcendit verſus B, adeoque & perpendiculum
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aquæ cruris CB continuò minuitur, aquæ interim, quæ ex crure
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AB fluit, perpendiculo manente eodem. </
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<
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>Augetur ergo aſſiduè
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proportio perpendiculi BA ad perpendiculum BC, adeoque & </
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