188 MEDITJTIONES DE QVANTITATIBVS 



Ergo pro nto maiore S erit 

 x'^~\p*-\-q-pV\^,p^-q) — Dtum P/'tK =- otiim Vi'k 

 4-7r;c=:2[V[-;pV^-pV(/-^)].4-y[-ipV^-hpV(i/-^^j].-y[-j/+^-pT'('p--^)] 

 =:.-{-\p'^-q-pV(}.p-q)] -Vq 

 :=:-^lp'-q-\-pV{lp^-q) -q^- Dtiim VirK-\-CD?q^ii—^ Dtnm Vitk -C2?qZL 



>+-^— +^— -dP^^K— -+tDP4'Z^ 



adcoqiic , deletis , qii.ie (c miitiio deftniiint , liinima vtrobiqiic elt zz o. 

 Eodem planc modo reperietiir , ctinm pro Dto minore $ efle x*-\ xv-f^rro. 

 Calciiiiis cnim idem elt , nifi quod , Uko -p>'(ip'-^) , nunc lcribcndum fit 

 -t-pV(|^*-^) , ct contra , iigurac autem calculo refpondcntcs defumcndae fmt 

 Fig. 3.ex Figurae 3. areis niinoiibus $ ct y. 



§. 19. Qiiarta aequatio crat .v*-f-p.v— qzzo , cuius dcinceps pofita 

 eft — [.v*-|-p.v— (7]— o , (cu -.v'-f.v-4~<7— o , vcl .v'-l-7r.v-^:=o. Ad hanc 

 Fig. e.conftrucndam fit {Fi^. 6. liib y ct a) 



SP/=:PE-hE/7 , ,/,, , . 5PQz=:PE-E(3-PE-E/? ,^ i^v/.^* . ^'i 

 hkMAii^-'^-'^^'^^ ^^^''' ?PR^PA-AK:=PA-A^S=-'^-^''^^^ -^^^" 

 hinc fub y cric Dtum maius ?itk—]p'-\-q-i-py{lP^-hq) 

 ct fub a Dtum minus PQVR — :/-}- ^7- /)V'(;/-|-//) 

 Ergo pro maioic Oto $ lcu Virli crit 



.v'zr-['/-+-^-HpV(:p*-h^)]n-jp'-i7-py(:p"-h^) 



ciusquc radix .v^V DtiP/rK=:-y[-;p'-<7-py(;/-t-^)] (§• VIII). 

 ct pro minore Dto [3 (cu PQir crit • 



a-'=-[;pM-^-P>'(:p*^-^)]---:p*-^-4-pv(:p'-h^) 



ciuq.ic radix A-r=y DtiPQi;;" H-y[-;p'-</H-;>V^(Ip'-i-^)l , (§ VIII.), adeoquc 

 fumma radicum (quam pono — — 7r) , fcd contrario (igno atfciTla 

 -i-:x.:z-^'V[-'^'-q-pV{',p-hq)]-VUp'-q-hy{:p'-\-q)] 



et faaum --yf-:p'-^-py('pV^)] y[-;p*-^-H-p>'(:p'-^-'7)] 



Hinc 



