Schott, Gaspar
,
Mechanica hydraulico-pneumatica. Pars I. Mechanicae Hydraulico-pnevmaticae Theoriam continet.
,
1657
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decim linearum. </
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>Oporteat invenire altitudinem tubi qui unâ
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horâ & 21 minutis primis ex foramine digitali ejiciat 216000
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libras aquæ, ſeu repleat ciſteruam 3000 pedum cubicorum. </
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>Quoniam tubus quadrupedalis, cujus lumen digitale, eji
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cit tredecim ſecundorum ſpatio libras 144, ut vidimus Pro
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poſit. XVII. præcedente, & idem tubus ſpatio duarum hora
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rum, ac 42 minutorum primorum ejicit libras 108000, ut vi
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dimus Propoſit. XVIII. præcedente; ergo duplum hujus aquæ,
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hoc eſt, libræ 216000, ejicientur à tubo ejuſdem luminis alto
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pedes 16. eò quòd tuborum æqualium foraminum altitudines
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debeant eſſe in duplicata ratione aquarum, ut duplo plùs aquæ
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eodem tempore fundant, prout diximus Propoſit. VIII. Pori
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ſmate 1. </
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>Ut verò eadem aqua effluat ex tubo ejuſdem fora
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minis duplo velociùs, hoc eſt, intra horam unam, minuta 21;
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debet tubus eſſe altus pedes 64, ut patet ex Poriſmate Propo
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ſit. X. & XII. </
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Poriſma.
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>SImili ratione datis tempore, ciſterna, & altitudine tubi, in
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venitur foramen tubi, qui ciſternam datam repleat in illo
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tempore. </
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Propoſitio XX. Problema IV.
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Dato Vaſe, & foramine per quod effluit aqua,
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invenire tempus quo evacuatur.
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<
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>SIt datum vas priſmaticum ABCD, cujus tam longitudo, </
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quàm latitudo ſit decem pedum, altitudo vero 16 pedum,
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ac proinde capacitas totius vaſis ſit 1600 pedum cubicorum,
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baſis verò ſit 100 pedum quadratorum; lumen denique ſeu
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foramen E in fundo vaſis ſit digitale. </
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pus quo dictum vas, ſi aquâ fuerit plenum, per lumen E eva
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cuetur. </
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