Borelli, Giovanni Alfonso, De motionibus naturalibus a gravitate pendentibus, 1670

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42[Figure 42]
vt terminus eius A deſcendat
deorsùm percurrendo arcum
AI neceſsè eſt vt eius oppoſi­
tus terminus B motu contrario
ſursùm aſcendat percurrendo
arcum BH æqualem contrapo­
ſito AI.
Et quotieſcumque præ­
dicti motus contrarij ſimul fie­
ri nequeunt, tunc neceſsè eſt
vt libra, vel rota quieſcatiņ
eodem ſitu, nec agitetur.
Cap. 4. poſi­
tiuam leui­
tatem noņ
dari.
PROP. XLVI.
Si eidem libræ termino applicentur potentiæ ad oppoſitas
partes trahentes mutuo ſeimpedient, & potentia maior
præualebit, libram flectendo vi æquali dif­
ferentiæ potentiarum.
APponatur poſtea pondus DE termino libræ A;
hoc profectò vim efficit, conaturque traherę
terminum libræ A per directionem AD versùs cen­
trum telluris, at quia ſemidiameter AC in centro librę
figitur immobiliter, hinc conſequetur reuolutio librę
fereturque terminus A non per lineam rectam AD,
ſed per arcum AI excurrendo integrum quadrantem,
& quia libra AB ſupponitur continua, & rigida eodem
tempore quo terminus A arcum AI pertranſit oppo­
ſitus eius terminus B deſcribet contrapoſitum arcum
BH.
Modò motum eiuſdem libræ, & deſcenſum pon-

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