Archimedes
,
Archimedis De iis qvae vehvntvr in aqva libri dvo
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FED. COMMANDINI
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<
s
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xml:space
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">SIT pyramis, cuius baſis triangulum a b c; </
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<
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<
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xml:space
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">& </
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<
s
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<
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ſecetur plano baſi æquidiſtante; </
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<
s
xml:id
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xml:space
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">quod ſectionẽ faciat f g h;
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</
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<
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<
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<
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xml:space
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">Dico f g h triangulum eſſe, ipſi
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a b c ſimile; </
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<
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<
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cimi</
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duo plana æquidiſtantia a b c, f g h ſecantur à plano a b d;
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<
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<
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eadem ratione æquidiſtantes ipſæ b c, g h: </
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<
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<
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<
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cum duæ lineæ f g, g h, duabus a b, b c æquidiſtent, nec
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ſintin eodem plano; </
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mi.</
note
>
b: </
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<
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<
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<
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<
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qui ad a eſt æqualis. </
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<
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xml:space
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angulo a b c. </
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tis trianguli f g h hoc modo oſtendemus. </
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<
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na per axem, & </
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xml:space
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cimi</
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ctiones f K, a e æquidiſtantes: </
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<
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<
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<
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</
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<
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<
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xml:space
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cimi</
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eſt æqualis. </
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anguli ad g angulis ad b: </
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anguli ad h iis, qui ad c æ-
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quales erunt. </
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<
s
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<
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e _K_ in triangulis a b c, f g h
<
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ſimiliter ſunt poſita, per ſe-
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xtam poſitionem Archime-
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dis in libro de centro graui-
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tatis planorum. </
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<
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ſit centrum grauitatis trian
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guli a b c, erit ex undecíma
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propoſitione eiuſdem libri,
<
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& </
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<
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tis centrum. </
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<
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<
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in ceteris pyramidibus, quod propoſitum eſt demonſtra-
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bitur.</
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