Schott, Gaspar
,
Mechanica hydraulico-pneumatica. Pars I. Mechanicae Hydraulico-pnevmaticae Theoriam continet.
,
1657
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Dato vaſe,
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& forami
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ne, inveni
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re tempus
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quo evacua
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tur.
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<
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>Conſtat ex dictis Pro
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poſit. XIV. in Annotat. tu
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bum quadrupedalem, cu
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jus baſis pedalis, & lumen
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lineare, ſpatio 144. minu
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torum, ſeu duabus horis
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& 24 minutis, totum ex
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hauriri, ſi non ſit ſemper
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plenus. </
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>Conſtat præterea
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ex eadem Propoſitione,
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tubos non ſemper plenos,
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æquè altos, & æqualium
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foraminum, ſed inæqua
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lium baſium, evacuari in
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æqualibus temporibus;
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& tempora quibus evacuantur, eſſe inter ſe, vt baſes. </
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<
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>Aſſuma
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tur igitur tubus priſmaticus quadrupedalis KL, baſim habens
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pedalem, & lumen lineare. </
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>Aſſumatur præterea ex vaſe dato
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ABCD, pars CFDH alta pedes quatuor, baſſim habens ean
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dem cumtoto vaſe centum pedum, lumen verò 1 lineare. </
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<
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>Quo
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niam igitur, per Propoſitionem XIV. dictam, tempora quibus
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vas CFDH, & tubus KL exhauriuntur per lumen lineare, ſunt
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inter ſe ut baſes ipſorum; baſes autem ex hypotheſi habent pro
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portionem ut 100. ad 1; neceſſe eſt, tempus quo evacuatur vas
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CFDH per lineare lumen 1, ad tempus quo evacuatur tubus
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KL per lumen etiam lineare, eſſe ut 100 ad 1. </
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<
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>Quare cùm tu
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bus KL per lineare lumen evacuetur ſpatio 144 minutorum,
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ut vidimus; evacuabitur vas CFDH, per lineare lumen 1, ſpa
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tio 14400 minutorum, (tot enim producuntur, ſi 144 multi
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plicentur per 100) ſeu horarum 240, vel dierum decem. </
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<
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>Iam
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verò quoniam per Propoſit. XVI. tempus quo effluitaqua ex va
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ſe CFDH per lumen digitale E, ad tempus quo effluit eadem
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aqua ex eodem vaſe per lumen lineare 1, eſt reciprocè, ſicut
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eſt foramen 1 ad foramen E, nempe ut 1 ad 144; ſi dividatur </
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