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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 257, page id 845634801:0263
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ribet
aet
F O M E Y R I A a
Enimvero ostentum est in etaccatu de aquationum recognirione, aequariones quadra-
co. quadcarorum ad aequationes cuborum reduci.
Cubos vero adtectos sub quadraro, ad cubos adfectos sub latere.
Rurlus, adfectos cubos sub latere reduci ad cubos purOS.
Adtectos vero cubos sub latere nesare ira demum reduci ad puros, cum Colidum, à
quo adhcicurcubus, negatur de cubo. de praxecerea eriens plani coësticientis cum latere
dlciens Colidum, ce dir quadrato semiltis laricudinis oriundae ex adplicarione adfecti cu-
biadpraedictum erientem.
In cubisigicurpuris, urPore cum A, de qua quaeritur, cubus proponitir xquari B qua-
deaco in D, incelligentur B e D exrremx in serie quaruoi conriaue proporcionalium, et
harum A, de qua quaeritur esse secunda.
In cubis aurem ica adfectis sub lacere nesare, uc triens plani coefticientis cum lacere
adticiens Colidum, praester quadearo lacicudinis semissis oriundxe ex adplicatione adfecti
cubi ad praedictum erientem, vEpore; cum A cubus, minus B quadraroz in A, proponi-
cur aequari B quadraro in D2, de B praesterip(iD. Duo intelligentur proponierianoula
aequicrura, X ipla cruribus aequalia alcerum alreri, quorum se cundi angulus, qui est b2-
lin, incellisicur eriplus ad angulum, qui est adbalin primi, de balis secundi esse D, crus
veroB. A aurem de qua quaeritur, esse balisprimi
In cubis denigue ica adfectis, ur iph de adEcienre Solido negantur, uE POtC, cum B qua-
dearum z in E, minus E cubo, aequabicur B quadraro in D2. Eadem sance constructio
ne, quae in ancecedente Formula exposira est, P. de qua quaeritur, her basis dimidia primi,
multara concinuatave longirudine ejus, cujus quadearum aequale est criplo quadraro alti-
cudinis primi.
Duod enim in eriangulo equieruro crus semper majus sc base dimidia vel ex eo evi-
denstic, quod alcicudo lecec balin bitariam. Leaque cruris quadracum prxestat quadraco
dimidia per iplius alcicllunis quadrarums
Acque adeo duobus Problematis aequariones cuborum omnes,  quadrato. quadra-
corum cujulcumque adfectionis alioqui non solubiles explicabuntur, una inventione
Suarum mediarum incer datas, alcera anguli daci ineres aequales parres sectione. Ouod
adimadverrisse Fuic opcrx pretium.