Commandino, Federico
,
Liber de centro gravitatis solidorum
,
1565
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ut altitudo ad altitudinem: & componendo conuertendo
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que ſolidum abgh, hoc eſt ſolidum abcd ipſi æquale, ad
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ſolidum abef, ut altitudo ſolidi abcd ad ſolidi abef al
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titudinem.</
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29. unde
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cimi</
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18. huius</
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7. quinti.</
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">Sint ſolida parallelopipeda ab, cd in æqualibus baſibus
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conſtituta:
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ſitq;
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be altitudo ſolidi ab: & ſolidi cd altitudo
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d f; quæ quidem maior ſit, quàm be. </
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">Dico ſolidum ab ad
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ſolidum cd eandem habere proportionem, quam be ad
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d f. </
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<
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id
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">abſcindatur enim à linea df æqualis ipſi be, quæ ſit gf:
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& per g ducatur planum ſecans ſolidum cd; quod baſibus
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æquidiſtet,
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faciatq;
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<
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abbr
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ſectionẽ
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hK. </
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<
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">erunt ſolida ab, ck æque
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alta inter
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ſe æqualia
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cũ
">cum</
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æqua
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les baſes
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habeant. </
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Sed
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ſolidũ
">ſolidum</
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hd ad ſoli
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dum cK
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eſt, ut alti
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tudo dg
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ad gf
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altitudinẽ
">alti
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tudinem</
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; ſe
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catur enim ſolidum cd plano baſi
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bus æquidiſtante: & rurſus
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abbr
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cõpo-nende
">compo
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nende</
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>
,
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abbr
="
conuertendoq;
">conuertendoque</
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<
expan
abbr
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ſolidũ
">ſolidum</
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>
ck
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ad ſolidum cd, ut gf ad fd. </
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<
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">ergo
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ſolidum ab, quod eſt æquale ipſi
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ck ad ſolidum cd eam proportio
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nem habet, quam altitudo gf, hoc
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eſt be ad df altitudinem.</
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31. unde
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cimi</
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18. huius</
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7. quinti.</
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">Sint deinde ſolida parallelepipe
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da ab, ac in eadem baſi; quorum
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axes de, ſ e cum ipſa æquales angu</
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