Valerio, Luca - De centro gravitatis solidorum

Valerio, Luca, De centro gravitatis solidorum, 1604

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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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