-441 ) s C ^??^- 



+ q q [p p + r ry - 2 b q q {p p -{• r r) -\- b' q q i =z 

 + rr(pp-{-qqy-2(;crr[pp + qq)-{-c-'rrJ 



^{qq-\-rr){pp + rr){<^p-\-qq) + ^ppqqrr 

 I -aa{pp-\qq){pp-{-rr)-bb{pp + qq){qq-\-rr) 

 — ■\ - c c {pp + rr){qq + rr} 



I + a ab b {p p -{- q q) + a a cc {pp -{■ r r)-\- b b c c [qq-\ rr) 

 [^ — a ab b c c. 



Conlidcreinus niinc primo vtrinque ea tantum mem- 

 bra, qiiae folas litteras p, y, r, continent; ac in parte finiftra 

 bina priora membra huius gcneris, fcilicct 



p p {q q -\- r ry -\- q q {p p -+- r ry- 

 euoliUa, pracbent 



cui fi tertium membrum 



rr(ipp-\- q qy -Cp p-i-q q^ipprr ^ qqrr) 



addatur, obtinebitur 



{pp + qq)ippgq+ppff + qqrr+r*^ + 4.ppqqrr— 



{pp + qq)[pp + rr){qq + rr) + 4.ppqqrry 



vnde patet partes,quae vtrinque folas litteras p, q^ r in- 

 uohiunr, fc mutuo deftruere, Hanc ob rcm reliqua membra 

 ad partcm finiltram trauslata produccnt fcquentem aequa- 

 tioncm: 



[+aa{pp+qq) [pp-\rr)+bb {pp^qq){qq+rr)+cc(pp+r,){qq+rr) 

 \- 2aapp{qq+rr^ — 2. b b q q {p p + r r) —2c crr (pp + qq) 

 -\-aabb{pp + qq) - a a i i (pp + r r) - bbcc{cq + rr) 

 [ + a*pp + b" qq + c^rr + aabbcc 

 iiingulis igitur his tcniiiuis ii; ordincm rcda^ftis orietur 

 fcqucns acquatio: 



aapp 



