Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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pla potentia P, ſed a duplici
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potentia, tanquam à forcipe,
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vel prælo, nempè à P, & ab
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huic æquali reſiſtentia paui
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menti RS. </
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primetur anulus, vel veſica
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aerea ſolo innixa à ſingulari
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potentia P, ac ſi à duabus contrarijs potentijs P, &
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E, vel G conſtringeretur. </
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Cap. 5. de ae
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ris grauitate
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æquilibrio,
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ſtructura, &
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vi elateria
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eius.</
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COROLLARIVM.
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coniunctæ comprimant eumdem ſupremum̨
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anuli terminum pauimento innixi, tunc momentum̨
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fiue energia, qua anulus contunditur ſtringiturquę
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duplex eſt eius, qua ab ijſdem potentijs oppoſitos
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terminos ſtringentibus comprimitur. </
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">Quia quotieſcum que duæ potentiæ inter ſe æqua
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les P & G premunt ſupremum terminum B anuli BC,
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tunc ſolum ſtabile RS in E, cui innititur idem præſtat,
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& tanta energia operatur, ac ſi in E adeſſet potentią
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æqualis ambabus contrarijs potentijs G & P: quare
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vis, qua ſtringitur anulus æqualis eſt duplo potentia
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rum G, & P. è contrà quando anulus ſtringitur ab ijſ
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dem potentijs G, & P ſubdiuiſis, ſcilicèt à potentią
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P in ſitu B, atque à potentia G in oppoſito eius ter
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mino C vt in præcedenti figura videre eſt, tunc vis,
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qua ſtringitur anulus, æqualis eſt præcisè duabus po
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tentijs oppoſitis G, & P, igitur quando anulus ſolo </
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