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

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gulo ENF ducatur IK parallela EF, & æqualis ipſi
PB, & ducta RNS parallela ipſis EF, & IK reuolua-
tur figura circa axim RS vt fiant duo cylindri concen-
trici EFGH, & IKLO; intelligatur modò ſpatium
internum IKLO repletum ſubſtantia homogenea ip-
ſi cylindro DB, & reſiduum ambiens EFGH explea-
tur ex eadem ſubſtantia corporea ipſius AD; & quia
AB ad MB, ſiuè cylinder AC ad cylindrum MC, vel
cylinder EG ad cylindrum IL triplicatam propor-
tionem habet lateris AB ad PB, vel EF ad IK; ergo
cylinder AC ad MC eamdem proportionem habet,
quam integer cylindrus EG ad cauitatem cylindri-
cam IL, & per conuerſionem rationis cylinder AC
ad. cylindrum AD ſe habet vt totus cylindrus EG
ad partem continentem EKGO. Suntque cylindri
AC, & EG æquales, cùm ſint ſimiles, & ſimilitèr po-
ſiti circa latera æqualia AB, & EF, igitur cylinder
excauatus EKGO æqualis eſt ſibi homogeneo cylin-
dro AD, proindeque cylinder IL æqualis, & homo-
geneus erit ipſi MC, quod fuerat.
Cap. 4. poſi-
tiuam leui-
tatem noņ
dari.

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