Schott, Gaspar
,
Mechanica hydraulico-pneumatica. Pars I. Mechanicae Hydraulico-pnevmaticae Theoriam continet.
,
1657
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<
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>SUppono hîc id, quod notavi ſuprà Pro
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poſit. XIII. tam exiguam eſſe differen
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tiam inter velocitates aquarum ex tubis
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eiusdem altitudinis, & diverſorum fora
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minum,
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effluentiũ
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, ut cenſeri meritò poſ
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ſit, aquam ad aquam eſſe, utforamen ad
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foramen. </
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<
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>Quo poſito.
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Data alti
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tudine &
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foramine tu
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bi, invenire
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aquæ quan
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titatem da
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to tempore
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effluentem.
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>Sit, exempli gratia, altitudo tubi
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ADB pedum 64, luminis ſeu foraminis
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diameter DB digitalis, tempus hora una. </
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Oporteat igitur reperire, quantum aquæ
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tribuat, ſeu quantam ciſternam impleat,
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prædictus tubus, intra unam horam. </
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<
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>So
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lutio pendet ex dictis Propoſit. VII. XIII.
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& VIII. & præterea ex Propoſit. 2. lib. 12. Eu
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clidis. </
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>Igitur tubum 4 pedes altum, &
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luminis linearis, repræſentet CPK. </
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<
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>Ex
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tubo ADB. ſume EDB portionem
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4 pedes altam. </
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<
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>Et quoniam diameter DB
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digitalis, eſt ad linearem PK, ut 12 ad 1;
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erit per Propoſit. ſecundam lib. 12. Eucli
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dis, lumen DB ad lumen KP, utquadra
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tum diametri DB, ad quadratum diame
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tri PK, hoc eſt, ut 144 ad 1. </
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<
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>Quare cùm
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per Propoſit. XIII. præcedentem, in tubis
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æquè altis & ſemper plenis, ſed inæquali
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um luminum, aqua ab uno effuſa, fit ad a
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quam ab altero effuſam, tempore eodem,
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ut lumen ad lumen; dabit EDB. centies
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quadragies quater plus aquæ, quàm det
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eodem tempore tubus CPK: Sed tubus
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CPK, per Propoſit. VII. præcedentem,
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ſpatio tredecim ſecundorum temporis dat
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unam libram aquæ: </
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<
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>Ergo tubus EDB </
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