Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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474
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xlink:href
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phones, non quidem ad
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horizõtem
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perpendiculares,
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ſed inclinatos, prout ſuperficies conorum
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abbr
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inclinãtur
">inclinantur</
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,
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habentque ſiphones oriſicia ferè æqualia IL OM, &
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eorum altitudines inæquales, ergo duæ moles aquæ
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æquales deſluunt temporibus reciprocè proportio
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nalibus ſubduplicatæ rationi altitudinum; quare
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tẽ-pus
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pus</
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V, quo ſolidum DEF aſcendit
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abbr
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ſpatiũ
">ſpatium</
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DN, ad
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abbr
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tẽ-pus
">tem
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pus</
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T, quo ſolidum ABC percurrit ſpatium AH æ
<
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quale ipſi DN, eamdem proportionem habebit,
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abbr
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quã
">quam</
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altitudo GB ad altitudinem DE. </
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Cap. 11. gra
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uia in fluido
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velocitati
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bus inæqua
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libus ferri
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debere.</
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Prop. 223.</
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<
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">Ijſdem poſitis ſi aſcenſus fiant æqualibus tempo
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ribus (ſemper tamen infra aquæ libellam), ſpatia ab
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eis exacta habebunt ſubduplicatam proportionem̨
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altitudinum. </
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<
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id
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s.002502
">Hoc profectò facilè oſtendetur eadem methodo
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ſuperiùs expoſita. </
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<
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id
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s.002503
">Idemque concludetur in conorum
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deſcenſu. </
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PROP. CCXXX.
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Iiſdem datis ſi tantummodò conorum baſes præcedant, &
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ſursùm reſpiciant, & æquidiſtantes horizonti, & ſupre
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mæ aquæ libellæ; idem prorsùs concludetur.
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<
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id
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">NAm ſemper aqua è ſuperno loco expelli debet
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ad occupanda infima ſpatia à conis derelicta,
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neque hoc fieri poteſt abſque eo quòd aqua circum
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circa per ſiphones rotundos, cauos, inclinatoſquę
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defluat, & quia celeritates fluxus aquæ in prædictis
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ſi phonibus determinant velocitates aſcenſuum; hinc
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ſequitur vt motus ſursùm conorum legibus
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abbr
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ſiphonũ
">ſiphonum</
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ſubijciantur, ſcilicèt aſcenſus conorum eodem tem-</
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