) O ( m 
205 
itaque funt p , q, r; ipfarumque inventionem, o- 
ftendendum eft, pendere è data Æquatione Redu- 
ftibili/ cujus. tres radices funt hæ ipfæ quantitates, 
quæ quæruntur. 
Jam vero elevatione, & debitis redu&ionibiis 
peragendis, habetur; 
333 
x ~ p -f- q r -+-3 Vpq- (Vp 4 - Vq) 
3 5 3 3 5 
•+- 3 iVpr 4- Vqr) (Vp 4~ Vq -{- |// ) _ 
= _{_ 3 (|>^ 4 - v>r 4 - >V) ( 1 // 4 - Vi * 4 - VÔ 
— 3 Vpqr 
3 3 5 3 3 
= p 4 - q 4 - r -+-3 {Vpq 4 - * 4 - v'îO V* — 3 
3 5 3 3 '< 
*4-3 ~(p-hq-hr) = 3 (Vpq 4- 4- Vqr) V x , 
(*4-3 Vpqr —(p-hq-t- ••)) 5 = ( 3 ( Vpq 4- l/p‘4 1/-F) 3 *) • 
X -h 3(3 Vpqr -(p-b-q-\- r)x 4- 3 C Vpqr-[p-hq-l-r J ') X 
4- (3 Vpqr — (p 4- q 4- r))’ 
== 27 X ( pq 4- pr 4- qr 4 - 3 Vppqr (Vpq 4 - Vpr) 
4- 3 (Vpqqr 4- Vpqrr) (■ Vpq 4 Vpr 4- VV)) 
cz 27 # (pç 4- pr qv 
3 3 3 3 3 3 3 
4- 3 (|/p 4 - Vq 4 - y r) (v^î 4 Vÿ* 4- W) 
— 3 Vppqqrr ) 
= 27 4 - pr -V qr 
-- •- 9 9 
4- 3 • 1 /-V . 4- VP r 4- Vp) 
— 3 Vppqqrr) 
zz: 2 q X (jjq 4 - pr 4 - qr 
4- • (* 4- 3 V'/r — (p 4» q 4- *■)) 
— 3 Vppqqrr); 
Cc 3 un- 
