Valerio, Luca
,
De centro gravitatis solidorvm libri tres
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cet ſeſquialtera; ex æquali erit vt IB, ad BD, itì conoi
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des MBN ad conum KBL: Sed vt IB, ad BD, ità
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ponitur QH ad HG; vt igitur conoides MBN, ad co
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num KBL, ità eſt QH ad HG. </
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<
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>Sed Q eſt centrum
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grauitatis coni KBL, & G conoidis MBN; compoſi
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ti igitur ex conoi
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de MBN, & co
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no KBL
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grauitatis erit H.
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<
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>Rurſus quoniam
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tres rectæ lineæ B
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D, BF, BQ, æ
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qualibus exceſſi
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bus inter ſe diffe
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runt, minor erit
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proportio BQ, ad
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BF, quàm BF,
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ad BD, hoc eſt
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rectanguli EBQ,
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ad rectangulum
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EBF, quàm re
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ctanguli EBF, ad
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rectangulum EB
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D. </
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<
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>Sed quadrati
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BQ, ad quadra
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tum BF, dupli
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cata eſt proportio
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lateris BQ ad la
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tus BF: hoc eſt
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rectanguli EBQ
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ad rectangulum EBF: & quadrati BF, ad quadratum
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BD duplicata eius, quæ eſt rectanguli EBF, ad rectan
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gulum EBD; compoſitis igitur primis cum ſecundis, mi
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nor erit proportio rectanguli BQE, ad rectangulum BFE, </
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