Commandino, Federico
,
Liber de centro gravitatis solidorum
,
1565
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<
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s.000249
">SIT cylindrus, uel cylindri portio ac: & plano per a
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xem ducto ſecetur; cuius ſectio ſit parallelogrammum ab
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cd: & bifariam diuiſis ad, bc parallelogrammi lateribus,
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per diuiſionum puncta ef planum baſi æquidiſtans duca
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tur; quod faciet ſectionem, in cylindro quidem circulum
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æqualem iis, qui ſunt in baſibus, ut demonſtrauit Serenus
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in libro cylindricorum, propoſitione quinta: in cylindri
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uero portione ellipſim æqualem, & ſimilem eis, quæ ſunt
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in oppoſitis planis, quod nos
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demonſtrauimus in commen
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tariis in librum Archimedis
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de conoidibus, & ſphæroidi
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bus. </
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<
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id
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">Dico centrum grauita
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tis cylindri, uel cylindri por
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tionis eſſe in plano ef. </
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<
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">Si
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enĩ
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fieri poteſt, fit centrum g: &
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ducatur gh ipſi ad æquidi
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ſtans, uſque ad ef planum. </
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<
s
id
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">Itaque linea ae continenter
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diuiſa bifariam, erit tandem
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pars aliqua ipſius ke, minor
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gh. </
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<
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id
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">Diuidantur ergo lineæ
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ae, ed in partes æquales ipſi
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ke: & per diuiſiones plana ba
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ſibus æquidiſtantia
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ducãtur
">ducantur</
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. </
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<
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id
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">erunt iam ſectiones, figuræ æ
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quales, & ſimiles eis, quæ ſunt
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in baſibus: atque erit cylindrus in cylindros diuiſus: & cy
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lindri portio in portiones æquales, & ſimiles ipſi kf. </
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<
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id
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qua ſimiliter, ut ſuperius in priſmate concludentur.</
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