Archimedes
,
Archimedis De iis qvae vehvntvr in aqva libri dvo
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DE CENTRO GRAVIT. SOLID.
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proportionem habet, quam baſis a b c d ad baſim g h k l:
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<
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">ſi enim intelligantur duæ pyramides a b c d e, g h k l m, ha-
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bebunt hæ inter ſe proportionem eandem, quam ipſarum
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baſes ex ſexta duodecimi elementorum. </
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<
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">Sed ut baſis a b c d
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ad g h K l baſim, ita linea o ad lineam p; </
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<
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ei æqualem. </
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<
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">ergo priſma a e ad priſma g m eſt, ut linea o
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ad lineam q. </
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<
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">proportio autem o ad q cõpoſita eſt ex pro-
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portione o ad p, & </
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<
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xml:space
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">quare priſma
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a e ad priſma g m, & </
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<
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xml:space
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">idcirco pyramis a b c d e, ad pyrami-
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dem g h K l m proportionem habet ex eiſdem proportio-
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lb
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nibus compoſitam, uidelicet ex proportione baſis a b c d
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ad baſim g h _K_ l, & </
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<
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">ex proportione altitudinis e f ad m n al
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titudinem. </
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e f minor: </
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xml:space
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<
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inde ab ipſa m n abſcindatur r n æqualis e f: </
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<
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">per r duca-
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tur planum, quod oppoſitis planis æquidiſtans faciat ſe-
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ctionem s t. </
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<
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ad baſim g h k l; </
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<
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priſma g m, ita altitudo r n; </
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uidelicet linea p ad lineam u. </
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priſma g m eſt, ut linea o ad ipſam u. </
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<
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u cõpoſita eſt ex proportione o ad p, quæ eſt baſis a b c d
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ad baſim g h k l; </
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<
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nis e f ad altitudinem m n. </
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<
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