Schott, Gaspar
,
Mechanica hydraulico-pneumatica. Pars I. Mechanicae Hydraulico-pnevmaticae Theoriam continet.
,
1657
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ſolet. </
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>Sit enim dolium DC, exinanitum vſque ad lineam FG;
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quod tu ignores: ſcies id, ſi tubum oblongum AB incurves in
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feriùs iuxta B, & doleo iuxta C inſeras epiſtomij loco; liquor
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enim dolij effluens aſcendet per tubum, donec perveniat
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E, & æquetur ſupremæ ſuperficiei liquoris in dolio contenti. </
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Corollarium V.
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Dolium im
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plere per e
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piſtomium
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ope ſiphonis.
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>COlligitur quintò, Quomodo repleri poſſit prædictum doli
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um per foramen C epiſtomij. </
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>Si enim tubum AB incur
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vatum inſeras dolio iuxta C, & ſuperiùs iuxta A infundas li
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quorem; aſcendet is in dolio, donec æquetur ſummitati tubi,
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aut donec dolium ſit omnino repletum, ſi tubus altior eſt dolio. </
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Bene tamen Schvventerus monet in ſuis Recreationibus Mathe
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maticis parte 13. quæſt. 3. debere in ſummitate dolij foramen a
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periri, per quod aër elabatur, impediturus alioquin liquoris in
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fuſionem, ſi non poſſit erumpere per foramen C & tubum BA. </
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Annotatio.
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In Siphone erecto plurium quàm duorum crurium eadem con
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tingunt, quæ in ſiphone duorum crurium, vt conſideranti patet.
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Propoſitio III.
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Siphonis inverſi proprietates aſſignare.
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Siphonis in
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verſi pro
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prietates.
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<
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>PLurimas proprietates, easque plerumque miras habet Siphon
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everſus, tam æqualium quoad longitudinem & capacitatem
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crurium, quàm inæqualium. </
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<
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Prima Proprietas.
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<
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>SI crura ſiphonis inverſi inæqualia ſunt quoad longitudinem,
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& totus ſiphon repleatur aquâ, & invertatur; effluit ea tota per
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crus longius, licet ſit minus capacitate. </
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<
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>Eſto Siphon inverſus
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ABC inæqualium crurium, aquâ plenus, & crus AB longius
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ſit quàm crus CB, hoc eſt, extremæ aquarum ſuperficies A & C
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inæqualiter diſtent à Centro Mundi, ſcilicet AB minùs, CB
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plùs; dico, totam aquam effluere per crus AB, licet capacitate
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ſit minus quàm CB. </
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<
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>Ratio eſt, quia cùm aquæ AB perpendi
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culum, ſit longius, quàm aquæ CB perpendiculum, ma
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gis premitur aqua apud A, quàm apud C, per corollarlum I. </
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