Valerio, Luca, De centro gravitatis solidorvm libri tres

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1bifariam ſecat omnia latera parallelogrammorum inſcri­
ptorum baſi AC, parallela; erit in diametro BD, eorum
omnium parallelogrammorum centra grauitatis, atque
ideo totius figuræ inſcriptæ centrum grauitatis, quod ſit
H: & HEK, ducatur. Quoniam igitur EF, parallela
eſt vtrique DH, CK; erit vt CD, ad DF, ita KH, ad
HE, ſed minor eſt proportio CD, ad DF, quàm figu­
ræ ABC, ad reſi­
duum, dempta figu­
ra inſcripta; ergo &
KH, ad HE, minor
erit proportio, quàm
figuræ ABC, ad præ­
dictum reſiduum: ha­
beat LKH, eandem
proportionem ad EH,
quàm figura ABC,
ad prædictum reſi­
duum. Quoniam
igitur punctum K,
cadit extra figuram
33[Figure 33]
ABC; multo magis punctum L; non igitur punctum L,
erit prædicti reſidui centrum grauitatis. Sed punctum
H, eſt inſcriptæ figuræ centrum grauitatis: & vt figura
inſcripta ad prædictum reſiduum, diuidendo, ita eſt LE,
ad EH; non igitur E, eſt centrum grauitatis figuræ ABC:
ſed ponitur E, generaliter punctum extra lineam BD;
Nullum igitur punctum extra lineam BD, eſt centrum
grauitatis figuræ ABC; in linea igitur BD, erit figu­
ræ ABC, centrum grauitatis. Quod demonſtrandum
erat.

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