Valerio, Luca, De centro gravitatis solidorvm libri tres
page |< < of 283 > >|
1cet ſeſquialtera; ex æquali erit vt IB, ad BD, itì conoi­
des MBN ad conum KBL: Sed vt IB, ad BD, ità
ponitur QH ad HG; vt igitur conoides MBN, ad co­
num KBL, ità eſt QH ad HG.
Sed Q eſt centrum
grauitatis coni KBL, & G conoidis MBN; compoſi­
ti igitur ex conoi­
de MBN, & co­
no KBL centrum
grauitatis erit H.
Rurſus quoniam
tres rectæ lineæ B
D, BF, BQ, æ­
qualibus exceſſi­
bus inter ſe diffe­
runt, minor erit
proportio BQ, ad
BF, quàm BF,
ad BD, hoc eſt
rectanguli EBQ,
ad rectangulum
EBF, quàm re­
ctanguli EBF, ad
rectangulum EB
D.
Sed quadrati
BQ, ad quadra­
tum BF, dupli­
cata eſt proportio
lateris BQ ad la­
tus BF: hoc eſt
rectanguli EBQ
127[Figure 127]
ad rectangulum EBF: & quadrati BF, ad quadratum
BD duplicata eius, quæ eſt rectanguli EBF, ad rectan­
gulum EBD; compoſitis igitur primis cum ſecundis, mi­
nor erit proportio rectanguli BQE, ad rectangulum BFE,

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