Schott, Gaspar
,
Mechanica hydraulico-pneumatica. Pars I. Mechanicae Hydraulico-pnevmaticae Theoriam continet.
,
1657
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libras, debet habere altitudinem duplicatam 1 ad 100; nem
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pe 40000. pedum. </
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>Atque hæc eſt converſa præcedentis Pro
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poſitionis. </
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Tubi æqua
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lium lumi
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num, at in
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æqualium
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,
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habent du
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plicatam
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tionem</
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aqua
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rum.
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Poriſma II.
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>COlligitur præterea, datis tubis æqualium foraminum, at
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inæqualium altitudinum, in numeris aut lineis, mediam
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proportionalem dare aquas; & datis aquis in numeris aut men
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ſuris, tertiam proportionalem dare tuborum altitudinem æqua
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lium foraminum. </
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Annotatio.
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Mediæ, ac
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Tertiæ pro
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portionalis
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quantitatis
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in ventio.
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DEinventione mediæ ac tertiæ proportionalis magnitudinis in nume
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ris ac lineis, agemus infrà in Parergo hujus capitis, & in Arith
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metica ac Geometria practica, & in Pantometro Kircheriano lib.
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8.
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cap.
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1.
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Propoſit.
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1.
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&
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3. </
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Propoſitio IX. Theorema I.
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Aqua naturali motu deſcendens & effluens per tubos,
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imitatur leges aliorum gravium naturali
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motu deſcendentium.
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>NOn uni mirabile viſum, inquit Merſennus in Phænome
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nis Hydraulicis Propoſit. III. quòd non ſit eadem ratio
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quantitatis aquæ fluentis ex tubo pedali, ad aquæ quantitatem
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ex quadrupedali tubo ſalientis, poſito æquali foramine in utro
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que, quæ eſt 1 ad 4; cùm aqua quadrupedalis tubi quadruplo
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magis, quàm pedalis premere videatur fundum, & aquam ex
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lumine ſalientem. </
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>Verùm mirari deſines, ubi noveris, aquam
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eo ſolùm modo premere, vel ea duntaxat velocitate tubum
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egredi, quâ moveretur, ſi ex eadem tubi altitudine cecidiſſet;
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adeo ut ſit eadem iſtius phænomeni ratio, quæ deſcenſus aquæ
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per tubum; & eadem hujus deſcenſus, quæ deſcenſus aliorum
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gravium; de quo proinde hîc agendum paulò accuratiùs, quan
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doquidem aquæ motus per tubum, & ex tubo eruptio, ſequi
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tur leges gravium motu naturali deſcendentium. </
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