Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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Cap. 2. dę
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momentis
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grauium in
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fluido inna
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tantium.</
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PROP. XI.
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Si verò corpus ſolidum ponitur ſupra aquæ libellam,
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tunc deſcenſus communis centri grauitatis non
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efficietur per lineam perpendicularem ad
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horizontem ſed motu curuo per
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parabolam.
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<
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">IN progreſſu prædictæ operationis notabilis eſt va
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riatio ſitus centri grauitatis eius & mechanicæ eius
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operationis. </
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<
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">Sit igitur in eodem vaſe priſma ligneum ABCD
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perductum ad ſupremam aquæ libellam RX, tunc ſi
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militer inter ſe comparantur duo priſmata BD ligno
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um, & AH aqueum in eodem plano horizontali ſu
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biecto HC inſiſtentes, & proindè
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efficitur libra imaginaria PO mo
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bilis circa eius fulcimentum Q, &
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centrum grauitatis
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cor
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porum cadit ad partes aquæ nem
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pè in Y inter
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abbr
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cẽtrum
">centrum</
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Q & extremitatem radij P. hinc
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ergo ſe quitur vt prædicta libra flecti debeat deorsùm
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ad partes Y & ſurſum aſcendat terminus O vnà cum li
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gno versùs aquæ libellam ſupremam RX, igitur por
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tio aliqua ligni ſuprema eleuabitur ſupra prædictam
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aquæ libellam, vt patet in poſtrema figura, & tunc
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quidẽ
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ſucceſſiuè imminuitur priſma
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aqueũ
">aqueum</
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GD prout
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magis ligneum priſma exurgit, eminetque ſupra aquę
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libellam, & in prædicto aſcenſu dum collaterale priſ-</
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