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

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1
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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