Schott, Gaspar
,
Mechanica hydraulico-pneumatica. Pars I. Mechanicae Hydraulico-pnevmaticae Theoriam continet.
,
1657
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pitis de Proprietatibus ſiphonis erecti; ubi aſſeruimus, aquam
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cruris longioris deſcendentem elevare, atque expellere aquam
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cruris brevioris, cogereque in altum exilire, ſi oſculum ſit an
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guſtum. </
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>Cauſam ejus rei diximus eſſe exceſſum perpendi
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culi aquæ deſcendentis atque pellentis, ſupra perpendiculum
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aquæ aſcendentis & pulſæ. </
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<
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>His ſuppoſitis, ita diſcurro. </
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>Fons
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Heronis, & Lucerna ad ipſius ſimilitudinem conſtructa, omneſ
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que Machinæ ſimili artificio adornatæ, nihil aliud ſunt, quàm
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ſiphon erectus interruptus. </
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<
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>Nam tubus DEL habet rationem
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cruris erecti, per quod aqua deſcendit; tubus verò CBA ha
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bet rationem alterius cruris erecti, per quod aqua aſcendit;</
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<
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>Aqua deſcendens per DEL, cogit aſcendere aquam per CBA,
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mediante aëre aquam premente. </
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>Sicut igitur in ſiphone erecto
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non interrupto, ut aqua deſcendens per unum crus, expellat
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aquam aſcendentem per alterum, perpendiculum aquæ de
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ſcendentis majus debet eſſe perpendiculo aſcendentis, ideo
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que crus, per quod aqua deſcendit, longius debet eſſe, quàm
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crus per quod aſcendit, alioquin non effluet aqua aſcendens;
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ita in caſu noftro tubus DEL debet eſſe longior tubo ABC, ut
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perpendiculum aquæ deſcendentis majus fit, quàm perpendi
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culum aquæ aſcendentis. </
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<
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>Tantò autem, cæteris paribus, al
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tiùs aſcendet aqua per tubum ABC, quantò is magis ſupera
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bitur à tubo DEL. </
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Itaq;
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hîc etiam, uti alibi
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ubiq;
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in hydraulicis,
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non aquarum copiâ, ſed perpendiculo pugnatur ac vincitur. </
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Perpendicu
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lum aquæ
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eadentis in
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fonte Hero
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nis cur exce
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dere debeat
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perpendicu
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lum aquæ
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aſcendentis
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Perpendicu
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lo,
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nõ
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aqua
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rum copia,
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pugnatur,
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ac vincitur
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in hydrau
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licis.
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<
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>Hæc mea eſt opinio: cui meliùs quid occurrerit, profe
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ratin medium; nullus enim adhuc rei huius cauſam attigit, quod
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ſciam. </
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>Non nego tamen, & aëris prementis copiam ab aquæ
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deſcendentis copia maiore vehementiùs preſſam ac pulſam, &
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oſculi A, vel potiùs totius tubuli CBA anguſtiam, multùm
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conferre ad aquam altiùs ex oſculo A eiaculandam, tum ob
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urgentis impetus incrementum, tum ob decrementum gravi
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tatis aquæ deorſum in tubo, poſt egreſſum è tubo, nitentis. </
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<
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>Ne
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go tamen, erupturam aquam è tubo CBA, ſi longior is fuerit
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tubo DEL; idque ob rationem aſſignatam. </
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