Schott, Gaspar
,
Mechanica hydraulico-pneumatica. Pars I. Mechanicae Hydraulico-pnevmaticae Theoriam continet.
,
1657
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<
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>SIt tubi vel alterius vaſis erogatorij aquâ ſemper pleni altitudo
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9. pedum, ex cuius lumine ſpatio unius minuti ſaliat una aquæ
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libra, ſit autem producenda altitudo eò uſque, ut æquali ſpatio
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minuti, per idem aut æquale lumen effundat 16. libras aquæ. </
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<
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>Du
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plicetur ratio 16 ad 1, & proveniet ratio 256 ad 1; nam 16 ducta in
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16 efficiunt 256: cumque 9 referat unitatem, multiplica 256 per
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9, & provenient 2304, pro tubi aut alterius vaſis quæſiti alti
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tudine. </
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<
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>Ratio eſt, quia tubi habent duplicatam rationem a
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quarum, per Propoſit. VIII. huius capitis. </
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<
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>Si itaque fiat, ut 1 ad
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256, ita 9 ad aliud; provenient 2304. </
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Data tubi
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altitudine,
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ac tempore
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effiuentis a
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quæ deter
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minatæ, in
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venire alti
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tudinem
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pro alia a
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quæ quanti
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tate.
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Propoſitio XXIV. Problema VIII.
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In tubo ſeu vaſe non ſemper pleno determinare ſpatia,
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quæ temporibus æqualibus ſibi ſuccedentibus evacuantur;
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vti & menſuram ſeu pondus aquæ quæ effluit.
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<
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>PArte 2. Claſſe 1. cap. 4. inter alias Machinas afferemus varia liy
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drologia, ſeu horologia aquatica, quibus per fluxum aquæ è
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foramine alicui
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9
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tubi, aut vaſis, metimur horas æquales ſeu ęqua
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les temporis partes, ſignando in vaſis latere lineas determinantes
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fluxum æqualibus temporibus correſpondentem. </
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<
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>At quoniam
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ex dictis ſuprà Propoſitione VI. conſtat, ſpatia quæ æqualibus
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temporibus evacuantur, non eſſe æqualia, ſed ſemper minora
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atque minora evadere, eò quòd æqualibus temporibus non ef
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fluat æqualis aquæ copia, ſed ſemper minor ac minor; ideo de
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terminandum híc eſt, quomodo geometricè inveniendum ſit in
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quolibet vaſe dictum ſpatiorum decrementum, ſeu quomodo
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dividendum ſit latus vaſis, ut ſpatia adſignata æqualibus tem
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poribus evacuentur. </
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<
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>Iterum quoniam per dicta eâdem Pro
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poſitione VI, aqua quæ æqualibus temporibus effluit è dictis va
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ſis, non eſt æqualis, ſed in æqualis; determinandum eſt, quan
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tum quovis æquali tempore effluat. </
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In tubo de
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terminare
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ſpatia que
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temporibus
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æqualibus
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evacuan
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tur.
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<
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>Dico itaque, aquam æqualibus temporibus effluere è tu
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bis non ſemper plenis ea ratione, ut ſingulis temporibus </
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