DelMonte, Guidubaldo
,
In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata
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<
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Quoniã
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enim FK ęquidiſtans eſtipſi DH; erit CF ad FD,
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vt CK ad KH.
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ſuntq́
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CF FD æquales; ergo & CK KH in
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terſe ſunt æquales. </
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<
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DH EG, ita eſt KH ad HG, vt FD ad DE; eſt autem FD
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æqualis DE; erit igitur KH ipſi HG æqualis. </
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<
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tione oſtendetur ob ęquidiſtantes lineas DH EG BA,
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lineã
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HG ipſi GA æqualem eſſe. </
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<
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GA inter ſe æquales eſſe. </
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<
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kFC angulus ad C eſt vtri〈que〉 communis; & ABC ipſi kFC,
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& BAC ipſi FKC æqualis, cum ſit Fk ipſi AB æquidiſtans;
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erit triangulum ABC ipſi KFC ſimile. </
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">& quonian NK FC,
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& HN KF ſunt ęquidiſtantes, erunt anguli KCFCkF angu
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lis HkN KHN ęquales; ac propterea reliquus CFK reliquo
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KNH ęqualis: latus verò CK lateri KH eſt ęquale; erit igi
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tur triangulum KFC triangulo HNK ſimile, & ęquale. </
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literquè
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oſtẽdetur
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omnia triangula ALG GMH HNK KFC
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interſeſe ſimilia, & æqualia eſſe. </
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">& obid ipſi ABC ſimilia eſſe.
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Fiat igit vt AC ad AG, ita AG ad alia O. ſimiliterv AC ad GH,
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ita GH ad P. rurſusvt AC ad Hk, ita HK ad
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q.
">〈que〉</
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deniquè
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vt AC ad Ck, ita CK ad R. & quoniam AG GH HK KC
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ſunt æquales, eadem AC ad vnamquam〈que〉 ipſarum ean
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dem habebit proportionem, ergo eandem quo〈que〉 habebit
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propoſitionem AG ad O, vt GH ad P, & HK ad Q, & </
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