Schott, Gaspar
,
Mechanica hydraulico-pneumatica. Pars I. Mechanicae Hydraulico-pnevmaticae Theoriam continet.
,
1657
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& baſes, per lumina ſimilia inæqualia, ſunt reciprocè ut lumina;
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& è contrario, lumina prædictorum vaſorum ſunt reciprocè ut
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tempora, quibus evacuantur, ut diximus in Poriſmate dictæ
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Propoſitionis XVI; ſi fiat ut tempus B, ad tempus C, quo per
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lineare lumen effluit ciſterna A, ita lumen lineare ad aliud;
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hoc ipſum erit lumen quod quærebatur. </
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Dato vaſe
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& tempore,
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invenire
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foramen.
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<
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>ciſt.</
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<
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>temp.</
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<
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<
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<
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<
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Propoſitio XXII. Problema VI.
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Altitudinem ſcaturiginis dati fontis per tubos
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fluentis invenire.
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Altitudinẽ
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Scaturigi
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nis fontis in
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venire per
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tubos fluen
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tis.
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<
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>FIat notum lumen, per quod fontis a
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qua fluat; aut fonti lumen notæ ma
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gnitudinis applica, v.g. lineare. </
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ſerva deinde quot aquæ libras fons per
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lineare
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lumẽ
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effundat ſpatio unius minuti primi, ſeu 60 minuto
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rum ſecundorum; ſitque numerus ille librarum B. </
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<
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>Quoniam
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igitur per Propoſit. VII. huius capitis, tubus quadrupedalis ſemper
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plenus per lumen lineare effundit ſpatio tredecim ſecundorum
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vnam libram, & conſequenter ſpatio 60 ſecundorum, ſeu unius
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minuti primi, libras 4 8/13: & præterea, quoniam per Poriſma I.
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Propoſit. VIII. huius capitis, altitudines tuborum, habentium
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idem ſeu æquale lumen, ſunt in duplicata ratione eius quam ha
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bent aquæ quantitates per tubos
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eodẽ
">eodem</
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tempore effusæ: ſi fiat, ut
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4 8/13 lib. ad numerum librarum B, ita altitudo 4 pedum, ad aliud,
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nempe ad altitudinem numeri M; & iterum, ut 4 ad M, ita M
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ad N; dabit numerus N altitudinem ſcaturiginis in pedibus,
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eò quòd ratio 4 ad N ſit duplicata rationis 4 ad M, ſeu ratic
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nis 4 8/13 ad B, nimirum aquæ ad aquam. </
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Propoſitio XXIII. Problema VII.
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Data alicuius tubi, aut vaſis erogatorij altitudine, ac
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tempore, quo determinatam aquæ quantitatem è ſuo lumine
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effundit, invenire altitudinem eiusdem autalterius tubi, qui
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æquali tempore, per æquale lumen, aliam determi
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natam aquæ quantitatem effundat.
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