Schott, Gaspar
,
Mechanica hydraulico-pneumatica. Pars I. Mechanicae Hydraulico-pnevmaticae Theoriam continet.
,
1657
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heminas ſolùm 108000. </
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<
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>Aſſumatur jam,
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ut antea, tubus quadrupedalis CPK lu
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minis linearis. </
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<
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>Tubi EDB, CPK, ſunt æ
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què alti; & lumina DB, PK, dantur, per 1.
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Propoſit. lib. 12. Euclid. nempe 1, & 144
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lineæ quadratæ; aqua etiam quam CPK
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fundit ſpatio 13 ſecundorum, datur, per VII.
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præcedentem, una nimirum libra: Qua
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re cùm quantitates aquæ à tubis æquè al
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tis eodem tempore effuſæ ſint ut lumina,
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per Propoſit. XIII. præcedentem, ſi fiat ut
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lumen PK, ad lumen DB, id eſt, ut 1 ad
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144, ita aqua unius ad aquam alterius; pro
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ducetur numerus heminarum ſeu libra
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rum, quas effundit tubus EDB ſpatio tre
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decim ſecundorum, nempe 144. </
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<
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>Quo
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niam igitur tubus EDB 144 libras dat ſpatio tredecim ſecundo
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rum; libras 108000 quanto tempore dabit? </
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<
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>Fiat, ut 144 libræ
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ad
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hoc eſt, ad tredecim ſecunda, ita 108000 ad 9750; dabit
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hic numerus ſecunda, quibus tubus EDB dat libras 108000. </
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Sed oſtenſum eſt ſuprà, quo tempote tubus EDB dat 108000
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libras, tubum ADB dare libras 216000, id eſt, 3000 pedes cu
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bicos aquæ; Inventum eſt igitur tempus, quo tubus ADB ſem
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per plenus fundit datam aquam 3000 pedum cubicorum, nem
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pe 9750 ſecunda, ſeu 162 prima; quæ faciunt horas 2, & 42
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minuta prima. </
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Propoſitio XIX. Problema III.
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Datis tempore, quantitate aquæ, ſeu Ciſternâ, & lu
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mine tubi, invenire altitudinem tubi, qui ſemper
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plenus ciſternam dato tempore repleat.
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Dato tem
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pore, &
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quantitate
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aquæ, inve
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nire tubum
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ex quo ef
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fluat.
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<
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>SIt datum tempus unius horæ & 21 minutorum primorum,
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aqua data 3000 pedum cubicorum, ſeu 216000 librarum
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capax ciſterna, & lumen ſeu foramen tubi digitale, ſeu </
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