Commandino, Federico
,
Liber de centro gravitatis solidorum
,
1565
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matis ae axis gh; & priſmatis af axis lh. </
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">Dico priſma
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ae ad priſma af eam proportionem habere, quam gh ad
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h l. ducantur à punctis gl perpendiculares ad baſis pla
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num gK, lm: & iungantur kh,
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h m. </
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<
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">Itaque quoniam anguli gh
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k, lhm ſunt æquales, ſimiliter ut
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ſupra demonſtrabimus, triangu
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la ghK, lhm ſimilia eſſe; & ut g
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K ad lm, ita gh ad hl. </
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<
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">habet au
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tem priſma ae ad priſma af ean
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dem proportionem, quam altitu
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do gK ad altitudinem lm, ſicuti
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demonſtratum eſt. </
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<
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id
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">ergo & ean
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dem habebit, quam gh, ad hl. py
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ramis igitur abcdg ad pyrami
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dem abcdl eandem proportio
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nem habebit, quam axis gh ad hl axem.</
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<
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">Denique ſint priſmata ae, ko in æqualibus baſibus ab
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cd, klmn conſtituta; quorum axes cum baſibus æquales
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faciant angulos:
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ſitq;
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priſmatis ae axis fg, & altitudo fh:
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priſmatis autem ko axis pq, & altitudo pr. </
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<
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">Dico priſma
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ae ad priſma ko ita eſſe, ut fg ad pq. </
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<
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">iunctis enim gh, </
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