Commandino, Federico - Liber de centro gravitatis solidorum

Commandino, Federico, Liber de centro gravitatis solidorum, 1565

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1 ergo linea ag continenter in duas partes æquales diui
ſa, relinquetur tandem pars aliqua ng, quæ minor erit lm.
Vtraque uero linearum ag, gb diuidatur in partes æqua
les ipſi ng: & per puncta diuiſionum plana oppoſitis pla

nis æquidiſtantia ducantur. erunt ſectiones figuræ æqua
les, ac ſimiles ipſis ace, bdf: & totum priſma diuiſum erit
in priſmata æqualia, & ſimilia: quæ cum inter ſe congruant;
& grauitatis centra ſibi ipſis congruentia, reſpondentiaque

16[Figure 16]
habebunt. Itaque
ſunt magnitudi
nes quædam æqua
les ipſi nh, & nu
mero pares, qua
rum centra gra
uitatis in eadem re
cta linea conſti
tuuntur: duæ ue
ro mediæ æqua
les ſunt: & quæ ex
utraque parte i
pſarum ſimili
ter æquales: & æ
quales rectæ li
neæ, quæ inter
grauitatis centra
interiiciuntur.
quare ex corolla
rio quintæ pro
poſitionis primi
libri Archimedis
de centro graui
tatis planorum; magnitudinis ex his omnibus compoſitæ
centrum grauitatis eſt in medio lineæ, quæ magnitudi
num mediarum centra coniungit. at qui non ita res

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