105 



2 g g -]- ^ h h — g p p q q -^ r r s s, 



iimiliqiie modo eiit 



2CC-{-:^hh=:pprr~\-qqss, 

 up-C^e aequatio conficienda fit 



9Ppqq-\-f'}'SS~saa-\-pprr-hqqss9 

 ideoque fiet 



Saa~pp(9qq — r r) -h s s {rr ~ q q) » ergo 



i6 a a— 2.j)p{9qq — r r) -t- ^ss (r r — qq), 



-quam ergo formulam ad quadratum reduci oportet ; quod fi 

 iuerit praeftitum, duabus formulis pofterionbus penilus crit 

 fatisfaflum, ficque tantum fupererit primae conditioni //=^ 

 2. c c -f- 2hh — a a fatisfieri. 



5. o. Cum igitur effe debeat 16//— 320 c -t- 5" t) f) 

 • — T^^ a a , ob 2cc-^^'hh^=zpprr-tqqss, nancifcemur 

 hanc aequationem: 



i<^//^ %p.prr — S-qqss — pp(9qq ~ '"') — ss{rr — qq), 

 iive 



I 6 ff =:z () p p (r r — q q) -h s s {9 q q — r r) ^ 



hoc ergo modo infuper requirjttn-, iit fequentes duae fornui- 

 ^ac quadrata cfficiantur, quae funt 



16 a a— - p p{9 qq — r r) -^ ^ s s (r r — q q) et 

 16//— ih p p{rr — q q) -^ ^ s s {9 q q — r r). 



5. 10. Qqo harum formularum refolutio facilior red-' 



datur, ponamus p — x ->- y ct ,s — a: — j'*, lum enim con- 



iVoia Jcta /Icad. Jmp. Scient. Tom. XII. O' ditio- 



