Commandino, Federico - Liber de centro gravitatis solidorum

Commandino, Federico, Liber de centro gravitatis solidorum, 1565

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1

SIT cylindrus, uel cylindri portio ac: & plano per a
xem ducto ſecetur; cuius ſectio ſit parallelogrammum ab
cd: & bifariam diuiſis ad, bc parallelogrammi lateribus,
per diuiſionum puncta ef planum baſi æquidiſtans duca
tur; quod faciet ſectionem, in cylindro quidem circulum
æqualem iis, qui ſunt in baſibus, ut demonſtrauit Serenus
in libro cylindricorum, propoſitione quinta: in cylindri
uero portione ellipſim æqualem, & ſimilem eis, quæ ſunt

18[Figure 18]
in oppoſitis planis, quod nos
demonſtrauimus in commen
tariis in librum Archimedis
de conoidibus, & ſphæroidi
bus. Dico centrum grauita
tis cylindri, uel cylindri por
tionis eſſe in plano ef. Si enim
fieri poteſt, fit centrum g: &
ducatur gh ipſi ad æquidi
ſtans, uſque ad ef planum.
Itaque linea ae continenter
diuiſa bifariam, erit tandem
pars aliqua ipſius ke, minor
gh. Diuidantur ergo lineæ
ae, ed in partes æquales ipſi
ke: & per diuiſiones plana ba
ſibus æquidiſtantia ducantur.
erunt iam ſectiones, figuræ æ
quales, & ſimiles eis, quæ ſunt
in baſibus: atque erit cylindrus in cylindros diuiſus: & cy
lindri portio in portiones æquales, & ſimiles ipſi kf. reli
qua ſimiliter, ut ſuperius in priſmate concludentur.

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