Commandino, Federico, Liber de centro gravitatis solidorum, 1565

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181[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
trique e χ, pn,

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