Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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gulo ENF ducatur IK parallela EF, & æqualis ipſi
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PB, & ducta RNS parallela ipſis EF, & IK reuolua
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tur figura circa axim RS vt fiant duo cylindri
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concẽ-trici
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trici</
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EFGH, & IKLO; intelligatur modò ſpatium
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internum IKLO repletum ſubſtantia homogenea ip
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ſi cylindro DB, & reſiduum ambiens EFGH explea
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tur ex eadem ſubſtantia corporea ipſius AD; & quia
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AB ad MB, ſiuè cylinder AC ad cylindrum MC, vel
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cylinder EG ad cylindrum IL triplicatam propor
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tionem habet lateris AB ad PB, vel EF ad IK; ergo
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cylinder AC ad MC eamdem proportionem habet,
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quam integer cylindrus EG ad cauitatem cylindri
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cam IL, & per conuerſionem rationis cylinder AC
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ad. </
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<
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ad partem continentem EKGO. </
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<
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">Suntque cylindri
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AC, & EG æquales, cùm ſint ſimiles, & ſimilitèr po
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ſiti circa latera æqualia AB, & EF, igitur cylinder
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excauatus EKGO æqualis eſt ſibi homogeneo cylin
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dro AD, proindeque cylinder IL æqualis, & homo
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geneus erit ipſi MC, quod fuerat. </
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Cap. 4. poſi
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tiuam leui
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tatem noņ
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dari.</
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te, ſeù principio quo corpora vim faciunt tendendo
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deorsùm, quęrimus tantummodò gradum virtutis
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cõ-preſſiuæ
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preſſiuæ</
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eorum, quæ procùl dubio à grauitate, ſeu
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pondere eorum menſuratur, hoc verò duplici modo
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augeri poſſe conſtat, aut per multiplicationem eiuſ
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dem corporis, vt cum lignea columna augetur mole,
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aut cum
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corporea, & plena in eodem ſpatio
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diſſeminata, & contenta magis ſtringitur, conden-</
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