Schott, Gaspar
,
Mechanica hydraulico-pneumatica. Pars I. Mechanicae Hydraulico-pnevmaticae Theoriam continet.
,
1657
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ſpatio tredecim ſecundorum tomporis da
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bit 144 libras. </
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Quoniã
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autem in una hora,
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ſeu in 60. minutis primis, hoc eſt, in 3600
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minutis ſecundis, tredecim ſecunda con
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tinentur ducenties ſeptuagies ſexies, rema
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nentque 12/
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, ſive (facilioris calculi gratia)
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ducenties ſeptuagies ſepties; ſi 144 libras,
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quas tredecim ſecundis dat tubus EDB,
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multiplices per 277, fient ferè 39888. li
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bræ, quas horæ ſpatio fundit tubus EDB. </
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Inveniatur iam inter 64, altitudinem nem
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pe tubi ADB, & inter 4, altitudinem ni
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mirum portionis EDB, media proporti
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onalis 16. </
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<
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>Quoniam igitur per Propoſit.
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VIII. præcedentem, aquæ quas tubi ADB,
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& EDB ſemper pleni, eodem tempore
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fundunt, ſunt in ſubduplicata ratione eius
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quam habent altitudines ADB, & EDB;
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erit aqua quam horæ ſpatio dat tubus
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EDB, ad aquam quam eodem tempore
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dabit tubus ADB, ut 4 ad 16, ſeu ut 1 ad 4. </
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Itaque ſi fiat, ut 1 ad 4, ita 39888 (tot enim
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aquæ libras iam oſtendimus horæ ſpatio
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dare tubum EDP) ad alium numerum,
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nempe ad 159552, quot hic continet vni
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tates, tot aquæ libras horæ ſpatio dabit tu
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bus ABD ſemper plenus, lumen habens
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digitale, altitudinem pedum 64; atque
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adeo tubus prædictus implebit horæ ſpa
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tio ciſternam capacem librarum
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aquæ 159552. </
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