%6o mMONSTRATlO THEOREMATIS 



eritque Xf—pq^'^ ; hincqiK 



sAf-^pq^—bp. Siipra aiitem habebamas 



/^-~ Afz^t 



Xg- Af—o 

 qmc tres aeqnationes additae dant: 



Qiiare Yt arcus pq praecife fit triens totius peripheriaCj, 

 neceffe eft, vt fit 3pq—ff* feu pqiz—^ff^ vnde fit : 



Pp-^^^^ff- "My^bb-ff^ibb-^nff^-^- S 

 hincque porro : 



m±mm-ff-^iff-Mn^b'ff){bb-nff)^^^. 



Fiet ergo : 



q-pz^^fbb^^iiSb^-i-nf-Cbby^bb-ff^ibb^nff)) 



^l-^P^ihy(^b'-hnf*-6bbVibb-ff)ibb-nff). 

 Quia reaangulum /j^— -§/' eft negatiuum , patet bi- 

 narum abfciffiirum p ct q alteram effe pofitiuam , alte- 

 ram negatinam. Cum autem fmgulis abfciffis bina cur- 

 •vae punda refpondeant , vtrum conueniat ex valoribus 

 y{bb-pp) et V{bb-qq) fiue fint pofitiui, fiue negatiui^ 

 dignofcituF. Eorum autem figna ita comparata effe 

 oportet, \t fatisfiat huic formulae. 



Vlbb 'qq)zz. ^^—-^^^^-^'^ —bfp^jbb - n.mhi~^ ppy 



CafuS nzzl 

 57- Ptae ceteris hic cafus «— |, feu bb=^s.aa^ 

 ell notatu digniis, quod hoc folo radicale cubicum 



rationale 



