Commandino, Federico - Liber de centro gravitatis solidorum

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81[Figure 81]
dris sg, tu eſſe
punctum υ· &
totius figuræ in
ſcriptæ, quæ con
ſtat ex cylindris
qr, ſ g, tu eſſe φ
centrum. Sunt
enim hi cylindri
æquales & ſimi
les cylindris yz,
Kη, θλ, figuræ
circumſcriptæ.
Quoniam igitur
ut be ad ed, ita
eſt op ad pn;
utraque enim u
triuſque eſt du
pla: erit compo
nendo, ut bd ad
de, ita on ad n
p; & permutan
do, ut bd ad o
n, ita de ad np.
Sed bd dupla
eſt on. ergo &
ed ipſius np du
pla erit. quòd ſi
ed bifariam di
uidatur im χ, erit
χ d, uel e χ æ
qualis np: &
ſublata en, quæ
eſt communis u
trique e χ, pn,

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