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

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1
uertendo CA ad AB, vt FD ad DE. & per conuer
ſionem rationis AC ad CB, vt DF ad FE. &
conuertendo CB ad CA, vt FE ad FD. quod demon­
ſtrare
oportebat.
co.4.quinti.
115[Figure 115]
ALITER.
Quoniam enim AB eſt ad AC, vt DE ad DF, erit conuer­
tendo AC ad AB, vt DF ad DE. diuidendoquè CB ad BA, vt
FE ad ED. eſt autem AB ad AC, vt DE ad DF, erit
ex æquali BC ad CA, vt EF ad FD. quod demonſtrare
tebat.
17.quinti.
22,quinti.
LEMMA IIII.
116[Figure 116]
Si fuerint quotcun〈que〉 magnitudines ABC, & nlię ipſis nu
mero æquales DEF, & in eadem proportione.
Dico vtram〈que〉
ſimul AD ad vtram〈que〉 ſimul BE, & vtram〈que〉 ſimul BE ad v­
tram〈que〉 ſimul CF eandem habere proportionem, quam ha­
bet A ad B, & B ad C.

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