Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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476
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quibuslibet alijs figuris curuis
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baſes pla
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nas & æquales, dummodò moles eamdem propor
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tionem habeant, quam earum altitudines, vt ſi vna
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eſſet hemiſphærium, reliqua verò, ſemiſphæroidalem
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figuram æmularetur; tunc quoque ſi materiæ fuerint
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homogeneæ, & aqua leuiores, intra ipſam
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velocitatibus, ferè in ſubduplicata proportione
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al-titudinũ
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titudinum</
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earumdem vt facilè ex dictis colligi poteſt. </
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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. CCXXXII.
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Si cylindri partim in aqua, partim in aere existentes ſursùm,
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vel deorsùm excurrerint; prædictæ proportiones velocita
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tum valdè alterantur.
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<
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">ET hactenùs conſiderauimus aſcenſus, vel
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ſus</
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corporum dum eorum motus omninò fiunt
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intra aquam, at quamprimùm ſupremam libellam at
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tingunt, tunc progreſſus velocitatum valdè alteran
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tur, debilitanturque; & ratio eſt, quia quando aliqua
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pars ligni ſupra aquę libellam eminet tunc non
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cõpa-rantur
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rantur</
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amplius inter ſe duæ moles æquales aquæ, &
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ligni, nec perſeuerat ſipho integer vt priùs, ſed
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aliã
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longè diuerſam naturam ſortitur, illius, inquam, cu
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ius ex vna parte fluidum eminens continenter
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dit</
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quouſque ad æquilibrium perducatur, & in hoc
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caſu centrum communis grauitatis ſemper magis, ac
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magis ad libræ fulcimentum accedit, motu illo curuo,
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vt dictum eſt; & tunc propemodum ceſſat motus
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cũ
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centrum communis grauitatis ligni, & fluidi non am
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plius deſcendere valet, quia nempè ad ipſum fulci
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mentum libræ perductum eſt. </
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