Valerio, Luca
,
De centro gravitatis solidorum
,
1604
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bifariam ſecat omnia latera parallelogrammorum inſcri
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ptorum baſi AC, parallela; erit in diametro BD, eorum
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omnium parallelogrammorum centra grauitatis, atque
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ideo totius figuræ inſcriptæ centrum grauitatis, quod ſit
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H: & HEK, ducatur. </
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>Quoniam igitur EF, parallela
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eſt vtrique DH, CK; erit vt CD, ad DF, ita KH, ad
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HE, ſed minor eſt proportio CD, ad DF, quàm figu
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ræ ABC, ad reſi
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duum, dempta figu
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ra inſcripta; ergo &
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KH, ad HE, minor
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erit proportio, quàm
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figuræ ABC, ad præ
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dictum reſiduum: ha
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beat LKH, eandem
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ad EH,
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quàm figura ABC,
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ad prædictum reſi
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duum. </
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<
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igitur punctum K,
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cadit extra figuram
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ABC; multo magis punctum L; non igitur punctum L,
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erit prædicti reſidui centrum grauitatis. </
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<
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>Sed punctum
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H, eſt inſcriptæ figuræ centrum grauitatis: & vt figura
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inſcripta ad prædictum reſiduum, diuidendo, ita eſt LE,
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ad EH; non igitur E, eſt centrum grauitatis figuræ ABC:
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ſed ponitur E, generaliter punctum extra lineam BD;
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Nullum igitur punctum extra lineam BD, eſt centrum
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grauitatis figuræ ABC; in linea igitur BD, erit figu
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ræ ABC, centrum grauitatis. </
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<
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erat. </
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