Schott, Gaspar
,
Mechanica hydraulico-pneumatica. Pars I. Mechanicae Hydraulico-pnevmaticae Theoriam continet.
,
1657
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cunque ratione longius crure interno, ſed neceſſarium omnino
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eſt ut perpendiculum externi cruris longius ſit perpendiculo in
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terni, juxta dicta ſuprà Protheoria I. §. VI. </
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Aqua inæ
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quali cele
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ritate efflu
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it ex crure
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externo ſi
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phonis,
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Secunda Proprietas.
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>Si crus externum FN decurtetur in K, & internum tan
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gat ferè fundum in E, & ex ore K extrahatur aer; ſequetur
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aqua uſque ad os K, propter vacui metum, & tota ferè effluet,
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donec
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perveniat ſuprema aquæ ſuperficies
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ad oſcu
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lum E. </
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>Ratio eſt, quia perpendiculum cruris externi longius
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eſt quàm interni. </
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>At poſtquam aqua pervenerit uſque ad oſcu
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lum E, nihil amplius effluit, quia perpendicula FE, FK ſunt
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æqualia. </
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>Hærebit ergo aqua in æquilibrio in utroque crure. </
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Tertia Proprietas.
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>Si crus externum FN decurtetur in H, & internum ſit
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infra lineam LM, aut pertingat ſolummodò uſque ad dictam
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lineam; vas tamen ſit plenum uſque ad lineam CD, aut ſaltem
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aqua ſit ſupra lineam LM; effluet aqua per os H, donec ſupre
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ma aquæ vaſis ſuperficies perveniat uſque ad lineam LM, & non
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ampliùs. </
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>Ratio eſt, quia antequam dicta aquæ ſuperficies per
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veniat ad lineam LM, perpendiculum cruris externi eſt ſem
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per longius perpendiculo cruris interni; quando verò deſcendit
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jam ad dictam lineam, ambo perpendicula ſunt æqualia. </
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>Fluxus
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porrò difformitas quoad celeritatem aut tarditatem eadem eſt,
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quæ antea. </
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Quarta Proprietas.
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<
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>Si crus externum decurtetur in G, ut ſit ejuſdem altitudi
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nis ſupra Horizontem cum ſuperficie humidi CD, & aqua at
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trahatur in G; nihil effluet, quia perpendicula ſunt æqualia:
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quare aqua hærebit in æquilibrio in utroque crure. </
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Corollarium I.
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<
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ad lineam LM, & ſiphonis crus externum decurtetur in H, vel
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G, vel O, internum verò pertingat uſque ad fundum; nihil
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poſſe effluere ex crure externo. </
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