Schott, Gaspar
,
Mechanica hydraulico-pneumatica. Pars I. Mechanicae Hydraulico-pnevmaticae Theoriam continet.
,
1657
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duodecies; continebit quadratum pedis quadrata digiti
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144.
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ac proinde
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baſis pedalis baſim digitalem centies quadragies quater continebit, vt
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diximus in Propoſitione.
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Merſenni
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obſervatio
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in tuborum
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evacuati
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one.</
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Annotatio II.
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P. Pauli Ca
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ſati dubita
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tio contra
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Merſenni
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obſervatio
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nem.
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ACutiſſimè notavit hîc P.Paulus Caſatus in cenſura huius Operis, poſ
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ſe dubitari de veritate huius Propoſitionis
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14.
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& poſſe aliquem ſuſpi
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cari, an experimentum allatum à Merſenno ſit in gratiam Propoſitionis
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confictum.
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>Ratio dubitandi eſt,
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inquit,
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quia quo tempore par
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vulus tubus AB exhauritur, ex maiori tubo ABCD effluit maior
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aquæ quantitas eodem tempore, quia ſcilicet effluit in progreſſu
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maiori velocitate ex maiori, quàm ex minori: nam in majore
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tubo eſt maius aquæ perpendiculum in progreſſu. </
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<
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>Fac enim in
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minori deſcendiſſe ſemiſſem; aquæ altitudo eſt ſolùm dimidia
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totius altitudinis: fac ex majori eodem tempore deſcendiſſe æ
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qualem aquam, hoc eſt (quia maior ad minorem eſt ut 9. ad 1.)
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(1/18) totius aquæ; ergo remanet altitudo aquæ in majori (17/18) totius
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altitudinis; ergo plus aquæ effluet vbi maior eſt velocitas ratione
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maioris perpendiculi. </
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<
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>Debet igitur hæc ratio conciliari cum
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experimento; & opus eſſet oſtendere, quomodo, licet id veri
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ficetur in priotibus cylindrulis aquæ effluentibus, tamen maior
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illa velocitas priorum compenſentur maiori tarditate poſterio
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rum qui habent minus perpendiculum. </
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<
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>Hocidem dicitur de Propoſitione 16, in qua conſideratur
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columna vt duodecupla minoris, nulla habita ratione quòd in
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progreſſu deſcenſus fiunt altitudines valde inæquales: neque vi
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detur valere illa argumentatio, facta præciſione per intellectum;
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nam ſermo eſt de re prout à parte rei. </
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Hæc P. Caſatus. </
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>Nolui ego
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in dubium revocare experimentum Merſenni, quoniam id nefas exiſti
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mavi; nec experimenti cauſam indagare, ac multò minùs demonſtra
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tionem afferre, quoniam id ad propoſitum meum nihil conducit. </
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Ratio tamen huius rei ſine dubio refundenda eſt in illam,
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quam ipſemet Caſatus inſinuavit.
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