Schott, Gaspar
,
Mechanica hydraulico-pneumatica. Pars I. Mechanicae Hydraulico-pnevmaticae Theoriam continet.
,
1657
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Problemata
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varia de flu
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xu aquæ per
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foramina
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vaſorum.
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Propoſitio VII. Problema II.
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Secto foramine laterali vaſis in partes inæquales, à re
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ctis horizontalibus, reperire rationes aquarum efflu
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entium ex ipſis.
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<
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>FOramen CD vaſis AB ſecetur à
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recta E in partes inæquales CE, ED;
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& effluat ex parte ſuperiore e E aqua
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F, ex inferiori verò ED aqua G, eo
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dem tempore. </
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>Quæritur proportio
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F ad G. </
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>Si ED foramen minus non
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menſurat CE, reperiatur eorum ma
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xima communis menſura, per tertiam
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Decimi Euclidis, quæ ſit H; & juxta
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eam ſecetur CE in partes CQ, QK, KE; item ED in partes
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EI, ID. </
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>Quoniam igitur foramen CD ſectum eſt in partes CQ,
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QK, KE, EI, ID, æquales per conſtructionem; reperietur per
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Propoſit. 6. hujus Capitis, ratio aquarum per eas fluentium,
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ac proinde aquarum fluentium per CE, & ED. </
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Propoſitio VIII. Problema III.
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Datis foraminibus inæqualibus ſuper eadem horizon
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tali, venari rationes aquarum.
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<
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>SInt foramina AB, & CD, ſuper ho
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rizontali BD, utrumque laterale;
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ſit proportio aquarum ex
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eis eodem tempore fluentium. </
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catur recta CEG, parallela rectæ DB,
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dividaturq́ue
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foramen AB in duo fo
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ramina AG, GB. </
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<
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>Quoniam igitur no
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ta eſt ratio aquarum fluentium ex CD,
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& GB, per Propoſit. 2. hujus Capitis; item ratio aquarum BG,
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& GA, per Propoſit. 7. præcedentem; nota pariter eſt ratio
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ex eis compoſita inter aquas fluentes per CD, & AG. </
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<
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