Schott, Gaspar
,
Mechanica hydraulico-pneumatica. Pars I. Mechanicae Hydraulico-pnevmaticae Theoriam continet.
,
1657
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ſexti Euclid. aut per Propoſit. 6. Paret
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gi citati; & in G fiat foramen, (quod
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ſi fieri nequit, Problema eſt inſolubile.</
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>Dico, G eſſe locum foraminis quæſiti. </
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>Quoniam enim aquæ fluentes per dicta
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foramina ſunt in ſubduplicata ratione
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altitudinum AC, AG, per Propoſit. 5.
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hujus capitis; & aquæ D, & E ſunt pa
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riter in ſubduplicata ratione datæ altitu
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dinis AC, & inveniendæ altitudinis, per
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eandem Propoſitionem 5. hujus capitis; ſequitur aquas fluen
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tes per dicta foramina C & G, eſſe ut aquas D & E. </
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Propoſitio XIV. Problema IX.
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Dato foramine, aptare in eodem vaſe aliud datum ſi
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mile, magnitudinis diverſæ, à quo aqua fluens cum
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fluente à primo, habeat rationem datam.
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<
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>IN vaſe AB, datum ſit foramen C, &
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aliud adſignatum D ſimile, ſed diver
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ſæ magnitudinis, ſive majoris, ſive mi
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noris; ratio verò aquarum data ſit E, F. </
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Aptandum ſit foramen D adſignatum
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eâ lege, ut aqua per illud fluens, cum
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aqua fluente ex C, ſit ut E ad F. </
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Super horizontali ducta CG, fiat fora
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men G, æquale foramini D; & perqui
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ratur ratio aquarum fluentium per C
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& G, per Propoſit. 8. hujus capitis, &
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ſit ut E ad H. </
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>Quæ ſi eſt eadem quæ
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eſt inter E & F, habemus intentum:
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Sin minùs, fiat aliud foramen infra aut
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ſupra G, ei ſimile & æquale, à quo
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fluat aqua, quæ cum fluente ab ipſo G
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habeat rationem ut H ad F, & ſit I,
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Quod ſi fieri nequit, Problema eſt </
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