DelMonte, Guidubaldo, In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata

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1〈que〉 ſimul AB BE, & quadrupla vtriuſ〈que〉 ſimul BC BD. (bis
enim aſſumitur AB, & bis BE, quater verò BC, & quater BD)
ad compoſitam ex dupla ipſius BD cum ſola BE; erit conuer­
rendo, ut OD ad DA, ita compoſita ex dupla ipſius BD cum ſo­
la BE ad compoſitam ex dupla utriuſ〈que〉 ſimul AB BE, & qua­
drupla vtriuſ〈que〉 ſimul BCBD. et vtræ〈que〉 ad primas eandem habe
bunt proportionem. hoc eſt componendo erit OA ad AD, vt con­
poſita
ex dupla ipſius BD cum ſola BE, & dupla vtriuſ〈que〉 ſi­
mul AB BE, & quadrupla vtriuſ〈que〉 ſimul BC BD ad compo­

ſitam ex dupla vtriuſ〈que〉 ſimul AB BE, & quadrupla vtrius〈que〉;
ſimul BC BD. In hoc autem antecedente bisſumitur AB, qua
ter BC, ſexies verò BD, & ter BE. habebit igitur OA ad AD ean­
demproportionem, quam linea æqualis duplæipſius AB, et quadruplæi­
pſius CB, et ſextuplæ ipſius BD, ettriplæ ipſius BE ad lineam compoſi­
tam ex dupla vtriuſ〈que〉 ſimul AB EB, et quadrupla vtriuſ〈que〉 ſimul
CB BD. babet autem (vt ſuppoſitum eſt) GH ad AD eandem
proportionem, quam linea æqualis duplæ ipſius AB, & qua­
druplæ ipſius BC, & ſextuplæ ipſius BD, & triplæ ipſius BE
ad lineam æqualem quintuplæ ipſius AB, & decuplæ ipſius
CB, & decuplæ ipſius BD, & quintuplæ ipſius BE, hoc eſt ad

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