Bernoulli, Daniel
,
Hydrodynamica, sive De viribus et motibus fluidorum commentarii
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jam fuit demonſtratam. </
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<
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xml:space
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">E re vero duxi id de novo hic demonſtrare, quia ca-
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ſus præſens diverſus videri poterat ab illo, de quo in præfato paragrapho dici-
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tur. </
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<
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xml:space
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">His intellectis non opus eſt pluribus explicare Phænomena circa hanc
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rem §. </
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<
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<
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<
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xml:space
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">patet enim, aquam non aliter efflue-
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re per vas compoſitum A E F M N G H B, quam per vas ſimplex A O M N P B,
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cum nempe orificium M N eſt valde parvum, atque hinc majorem eſſe veloci-
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tatem ſuperficiei aqueæ C D, quam ſi per vas A E F G H B aquæ effluerent, po-
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ſito orificio M N = F G, multoque magis ſi M N fuerit majus quam F G,
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quod fit cum tubus verſus inferiora amplitudine creſcit: </
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<
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">attamen obſervari de-
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bet, ab initio motus aquam tardius deſcendere, quam ſic definitum fuit, nec
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regulam iſtam prius locum habere quam ſuperficies C D per ſpatiolum ali-
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quod deſcenderit, quod tamen brevi fit tempore: </
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<
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">mutationes, quæ ab initio
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motus fiunt, in hoc caſu, examinabimus in ſectione ſequente.</
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<
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<
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">Eodem modo computus eſſet inſtituendus, ſi vaſi, quod ſem-
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per nunc amplitudinis infinitæ ponimus, implantatus eſſet tubulus non verti-
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calis ſed horizontalis, veluti in fig. </
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<
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<
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">aut ſub alia directione qualicunque, ſem-
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per autem reperietur aquas per orificium M N mox, poſtquam ſuperficies aquæ
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in vaſe principali aliquantulum deſcendit, ea proxime effiuere velocitate, quæ re-
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ſpondeat altitudini iſtius ſuperficiei ſupra orificium; </
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<
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tibus tam altitudine aquæ ſupra tubulum G N, quam ipſo orificio F G, au-
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geatur quantitas aquæ dato tempore effiuens ab aucta amplitudine orificii M N:
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</
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<
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<
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tinum experientia fuiſſe edoctum, nempe, plus debito aquæ erogari per cali-
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cem legitimæ tum menſuræ tum poſitionis, cui ſtatim fiſtulæ amplioris moduli
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ſubjectæ ſint. </
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<
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">Et quidem quantitates aquæ cæteris paribus erogari deberent ip-
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ſis orificiis M N proxime proportionales, niſi multa eſſent impedimenta; </
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<
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hanc quantitatem valde diminuant, de quibus proxime dicam: </
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hæc impedimenta; </
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<
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cto orificio extremo; </
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<
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">Ex præmiſſis liquet velocitatem, qua ſuperficies aquæ C D in
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utroque, de quo diximus, caſu deſcendit cæteris paribus pendere ab am-
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plitudine orificiorum M N; </
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<
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lateribus tubulorum G N ubique adhæreat & </
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