Schott, Gaspar
,
Mechanica hydraulico-pneumatica. Pars I. Mechanicae Hydraulico-pnevmaticae Theoriam continet.
,
1657
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per pleni; fluatque ex tubo AB vna libra aquæ ſpatio duorum
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minutorum. </
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>Dico, eandem aquam effluere ex tubo CD ſpa
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tio vnius minuti,
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propterea tempus fluxus aquæ ex tubo
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CD, ad tempus fluxus aquæ ex tubo AB, ut 1 ad 2, quæ eſt ratio
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ſubduplicata tuborum. </
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>Ratio ex dictis patet. </
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>Quoniam enim
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velocitates effluxûs aquæ ex æquali lumine habent ſubduplica
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tam rationem tuborum, ut demonſtravimus Propoſit. X, fluet in
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dimidio temporis tantum ex tubo CD, quantum in toto tem
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pore ex tubo AB, poſita æqualitate luminum; ac proinde in
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toto tempore duplum effluet ex tubo CD. </
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<
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>Eadem eſt ratio in
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alijs tuborum æqualium luminum proportionibus. </
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Poriſma.
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>TUbi ergo quilibet æqualium luminum, ſed inæqualium alti</
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tudinum, habent rationem duplicatam temporum, quibus
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effluit æqualis aquæ quantitas. </
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Proportio
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tuborum ad
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tempora flu
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xus aquæ.
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Propoſitio XIII. Theorema V.
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Si tubi, ſive ſemper pleni, ſive non ſemper pleni, ſint
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eiuſdem altitudinis, ſed inæqualium foraminum, eſt eadem ra
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tio aquæ ad aquam, quæ foraminis ad foramen,
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phyſicè ſeu ad ſenſum.
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<
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>ESt Merſenni in hydraulicis Phænomenis Propoſit. IV. quem
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ſequitur P. Andreas Tacquet in ſuis hydraulicis Manuſcri
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ptis cap. 4. Phænomen. 7. </
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>Ratio eſt, quòd licet ex maiori lu
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mine ſeu foramine fluat eodem tempore maior aquea columna
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quàm ex minori, tantòque maior exillo quàm ex hoc, quantò
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fuerit maius lumen ſeu
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foramẽ
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illud quàm hoc, quoad aream, per
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dicta Propoſit. 4. huius eapitis; tamen vtraque columna fluit
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ex æquali altitudine tuborum æquâ velocitate phyſicè & ad
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ſenſum. </
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Proportio a
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quæ ad
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a-quã
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quam</
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eadem
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quæ forami
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num in tu
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bu æquè al
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tis.
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<
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>Dixi phyſicè & ad ſenſum, quia licet gravia eiusdem ſpe
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ciei, ſed inæqualis molis ac ponderis, ab eodem ad eundem </
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