Borelli, Giovanni Alfonso - De motionibus naturalibus a gravitate pendentibus

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.

His præhabitis noto, quòd cùm agitur de faculta

te, ſeù principio quo corpora vim faciunt tendendo
deorsùm, quęrimus tantummodò gradum virtutis con
preſſiuæ eorum, quæ procùl dubio à grauitate, ſeu
pondere eorum menſuratur, hoc verò duplici modo
augeri poſſe conſtat, aut per multiplicationem eiuſ

dem corporis, vt cum lignea columna augetur mole,
aut cum ſubſtantia corporea, & plena in eodem ſpatio
diſſeminata, & contenta magis ſtringitur, conden-

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