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

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1
Cap. 4. poſi­
tiuam leui­
tatem noņ
dari.
Prop. 45.
Cap. 4. poſi­
tiuam leui­
tatem noņ
dari.
PROP. XLVIII.
Iiſdem datis, ſi ambæ potentiæ ſursùm trahant,
idem ſequetur.
ID ipſum verum quoque eſt,
44[Figure 44]
ſi applicentur terminis op­
poſitis eiuſdem libræ A, B duæ
vires inæquales, DE maior, &
F minor, quæ ambæ ſursùm ter­
minos libræ trahant aſcenden­
do.
& hìc eodem modo oſten­
detur, quòd libra flectetur ſur­
sùm ab A versùs H, & reliqua
vis minor F ſuperabitur ab ex­
ceſſu virtutis DE ſupra F, deſcendetque terminus B
versùs I.
PROP. XLIX.
Si oppoſitos terminos libræ duæ potentiæ trahant vna ſur­
sùm, altera deorsùm, ſe mutuò iuuabunt, & vis li­
bram flectens æqualis erit ſummæ ambarum
potentiarum.
TErtio loco in eadem rota, ſeù libra AB termi­
nus A deorsùm trahatur à pondere D, ſed eius
oppoſitus terminus B ſursùm trahatur à vi aſcenden­
te F, quæ minor ſit vi ponderis D, dico, quòd libra
non quieſcet, ſed reuoluetur eius terminus A deſcen-

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