Commandino, Federico, Liber de centro gravitatis solidorum, 1565

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1ut altitudo ad altitudinem: & componendo conuertendo

que ſolidum abgh, hoc eſt ſolidum abcd ipſi æquale, ad
ſolidum abef, ut altitudo ſolidi abcd ad ſolidi abef al­
titudinem.
29. unde­
cimi
18. huius
7. quinti.
Sint ſolida parallelopipeda ab, cd in æqualibus baſibus
conſtituta: ſitque be altitudo ſolidi ab: & ſolidi cd altitudo
d f; quæ quidem maior ſit, quàm be.
Dico ſolidum ab ad
ſolidum cd eandem habere proportionem, quam be ad
d f.
abſcindatur enim à linea df æqualis ipſi be, quæ ſit gf:
& per g ducatur planum ſecans ſolidum cd; quod baſibus
æquidiſtet, faciatque ſectionem hK.
erunt ſolida ab, ck æque

45[Figure 45]
alta inter
ſe æqualia
cum æqua­
les baſes
habeant.


Sed ſolidum
hd ad ſoli
dum cK
eſt, ut alti
tudo dg
ad gf alti­
tudinem
; ſe
catur enim ſolidum cd plano baſi
46[Figure 46]
bus æquidiſtante: & rurſus compo­
nende
, conuertendoque ſolidum ck

ad ſolidum cd, ut gf ad fd.
ergo
ſolidum ab, quod eſt æquale ipſi
ck ad ſolidum cd eam proportio
nem habet, quam altitudo gf, hoc
eſt be ad df altitudinem.
31. unde
cimi
18. huius
7. quinti.
Sint deinde ſolida parallelepipe
da ab, ac in eadem baſi; quorum
axes de, ſ e cum ipſa æquales angu

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