Valerio, Luca
,
De centro gravitatis solidorum
,
1604
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parallelepipedum GK, eſse æquale parallelepipedo AB;
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& rectam DE, axim parallelepipedi GK. </
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enim baſium oppoſitarum diametri GH, LK. </
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niam igitur qua
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drata ſunt EG,
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GH, communem
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que habent angu
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lum, qui ad G,
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conſiſtent circa di
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ametrum GH; in
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recta igitur GH,
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erit punctum E.
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<
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dratum GH, eſt
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quadrati EG, qua
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druplum; erit dia
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meter GH, diametri EG, dupla; punctum igitur E,
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erit in medio diametri GH. Rurſus, quoniam ob pa
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rallelepipedum GK, recta GL, æqualis eſt, & paral
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lela ipſi KH, erit LH, parallelogrammum: & quia
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vtraque DE, KH, eſt ad ſubiectum planum perpendi
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cularis, parallelæ erunt, & in eodem plano parallelogram
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mi LH; in quo cum LG, ſit parallela ipſi KH; erit &
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ED, ipſi LG, parallela: eſt autem, & æqualis vtrilibet
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ipſarum GL, GH, oppoſitarum; punctum igitur D, eſt
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in recta LK, & tam KD, ipſi EH, quàm LD, ipſi
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EG, æqualis erit, & inter ſe æquales LD, DK. pun
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ctum igitur D, erit in medio diametri LK; ſed & pun
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ctum E, erat in medio diametri GH; recta igitur ED,
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axis eſt parallelepipedi GK, cuius parallelepipedi cum
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altitudo DE, ſit ad BC, altitudinem parallelepipedi AB,
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vt eſt baſis AC, ad quadratum F, hoc eſt ad baſim GH,
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parallelepipedi GK; parallelepipedum GK, parallelepipe
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do AB, æquale erit, Factum igitur eſt quod oportebat. </
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