Schott, Gaspar
,
Mechanica hydraulico-pneumatica. Pars I. Mechanicae Hydraulico-pnevmaticae Theoriam continet.
,
1657
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& conditionis ſit tubus,) at ſuperior aquæ fuperficies non ſu
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pereminet foramini ad perpendiculum, ut in appoſita Figura ap
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paret; adhuc effluit aqua columnaliter, ſeu inſtar columnæ
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AB, cuius baſis eſt foramen B. altitudo perpendiculares à baſi
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uſque ad ſummitatem iſtius aquæ; quæ baſi perpendiculariter
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imminet. </
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>Ratio deſumitur ex dictis cap 1. Proprietate IV. </
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Corollarium.
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>EX his colligitur, ſolam columnam aqueam AB premere
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ſupra foramen B, quoniam illa ſola ad perpendiculum im
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minet baſis foramini. </
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Columna
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aquea ſola
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premit ſu
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pra
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per quod ef
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fluit.
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Propoſitio II. Phænomenon II.
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Per tubos tam ſemper, quàm non ſemper plenos æqua
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lis altitudinis, & æqualium foraminum, effluit æqualis aquæ
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copia, eodem vel æquali tempore, cuiuscunque capaci
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tatis & formæ ſint tubi.
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>ALtitudo tuborum, tum hac, tum ſequentibus Propoſitioni
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bus, ſumitur à lumine ſeu foramine, uſque ad ſuperius orifi
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cium, includendo etiam ipſius foraminis altitudinem ſeu craſ
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ſitiem, ab interiori ad exteriorem ſuperficiem baſis, ſi in baſi ſeu
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fundo ſit foramen. </
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Tuborum
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altitudo vn
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de ſumatur
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>Sint igitur, ut antea, tubi, AB, æquè alti, & æqualium fo
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raminum B, ſive ſemper pleni, ſive non ſemper pleni, cuius
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cunque capacitatis, & figuræ. </
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>Dico, per foramina illa effluere
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eodem, vel æquali tempore, æqualem aquæ copiam. </
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<
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>Quoni
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am enim, per præcedentem Propoſitionem, ſupra foramem B
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in omnibus æqualis aquæ copia æquali vi premit, nempe colu
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mna aquea AB, cuius baſis eſt foramen B in omnibus æquale,
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ut ſupponitur; & altitudo eſt perpendicularis AB, in omnibus
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itidem æqualis; neceſſe eſt, æqualem aquæ copiam eodem tem
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pore decurrere ex omnibus: ubi enim omnia ſunt æqualia, ef
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fectus ſunt æquales. </
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