i^a 



DEiMOnSTRATIO THEOREMATJS 



qua aequatione ab illa fubtradla relinquitur : 



Arc,A^-2Arc./)^— -y^ bb 



Quae difFerentia cum in nihilum abire debeat, habc- 

 bimus : 



infpq-nffg et ^pq-fg. 

 ?topq fubftituatur ifte valor kfg, et obtinebimus 



bipp-^qq^-b^ff-^bbfgVibb-fflbb-nff^-Vlnf^gg 



.. ^bbf^ {bb-ffK bb~-nJ f) 1 no.i.js pj-o f 



exiftente g zz 6*^=r^ 5 ^^^ P^"^'^ F^^ ^ 



introducatur valor ante inuentus : 



fz::p^y\b-yibb-gg)X^-y{bb-ngg)) 



vnde fit : 



y(bb-ffXbb-nff)J^~-^7f—-''i^^^^^^ 



Poftea vero ambae ablciftae p et q ex hac aequatioae 



duplicata definiri poterunt.: 



b\ff-^b'fg-\bb[gy[bb-ff)ibb-nff)-V\nf^ 



pp^-^pp-i-qq— ^. 



vel fiiblata ifta irrAtionalitate ob bbfgy(bb-ff){bb-nff) 



z^igg{b'—nf) habebimufe : 



y(b*f-\- b' fp; -^lb^gg-l^fjg) 

 p-\-q^ /^^ 



y (b^ff- b^f^-i -lb^gg-lnf^gg) 

 q-p=r. ^^ 



vnde vtraque abfcifla p et q leorfim facile afllgnatur. 



C o r o 1 1. I. 



44.. Si quantitatem fubfidiariam f penitus elimi- 

 Bemus , perueuiemus ad has duas formulas : 



pp-Vqq 



