Schott, Gaspar
,
Mechanica hydraulico-pneumatica. Pars I. Mechanicae Hydraulico-pnevmaticae Theoriam continet.
,
1657
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rationem altitudinum prædictarum. </
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>Quoniam enim aqua flu
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it per B & C veluti per tubos, per Petitionem tertiam; a
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quæ autem per tubos æqualium altitudinum, ſunt in ſubdupli
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cata ratione altitudinum tuborum, per propoſit. 8. Capitis
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tertij; conſtat propoſitum. </
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Propoſitio VI. Problema I.
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Secto foramine laterali vaſis in partes æquales, à rectis
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horizontalibus, invenire rationes aquarum ex eis
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fluentium.
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laterale AB in partes æquales
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AC, CD, DB, à rectis lineis hori
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zontalibus, ut fiant totidem fo
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ramina, quorum altitudines ſint
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notæ; & per AC fluat aqua E,
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per CD aqua F, per DB aqua
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G, tempore æquali ſeu eodem:
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venari proportio
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nem aquarum E, F, G. </
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HI, KL, MN, altitudines forami
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num AC, CD, DB, à ſummo va
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ſis; & inter ipſas mediæ proportionales OP, QR, per decimam
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tertiam Sexti Euclidis, aut per propoſit. 3. Parergi Capitis tertij
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præcedentis. </
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>Quoniam igitur aqua E ad aquam F, eſt ut HI
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ad OP, per Propoſit. 5. huius Capitis, nota eſt ratio aquæ E ad
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aquam F. </
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>Item quoniam aqua F ad aquam G, eſt ut KL ad
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QR, per eandem Propoſit. 5. huius Capitis, nota eſt pariter ra
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tio aquæ F ad aquam G: At ratioaquæ E ad aquam G com
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poſita rationum inter EF & FG notarum, eſt pariter
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nota; Reperta eſt igitur ratio aquarum
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E, F, G. </
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