aoS 
$5 ) o ( * 
unde transponendo tandem fît 
* 3 — - 3(6j/p£r •+ p^ q^r)x 2 •+= 3(3 —*(p^q + r))_ . x 
-4- 27 (p 4- ? 4 0 V>?*\ > 
— 2 T(pq&I>r-i-qr) 3 
■+* G vüpt* — 0 » + 7 4 - 5 = 0 . 
5- 4* 
? 3 
Quoniam a fuppofita radice x = (yp 4 . yq 
4- l/r ) 5 ad hanc Æquationem perventum eft; ex- 
' 3 , ? -3 
presfio illa (i//> 4- 1/7 4- 1/0 3 necesfario erit Æ- 
quationis fie edudtae radix. Ut itaque haec eadem 
formula fit etjam radix Æquationis propofîtæ x 3 • 
— 3 gx — 2h = o; debent Æqua dones, propofica 
& edu£ta, inter fe ira in terminis congruere, ut 
quaelibet coëfficiens coefficienti refpondend aequiva- 
leat. Hinc habetur; 
— 3 (, f y i Jqr\p\q\r) — o, 3 (3 ypqr — (jt? + g+r))^ == — o,g, 
vel 3 ypqr\^(p\ q\r)~o, +27 (p\ q\r)ypqr b- 
— 'j.'i (pq \ pr i qr) 3 
five 
G Vpqr — {p\q\r)y -=Z — g t 
\ g{p\ q\r)ypqr C 
• — Vipqiprjiqr) 3 
atque (3 ypqr 4 - {p -f- q 4- r)) = — 2h, 
unde 3 ypqr — {p ■+• q q- r) = v / — 2h, 
~ — J/2A; 
ubi à 3 i/pyr 4 - é (p 4 * 9 4 - r) =0 fubtrahendo 
3V'^7 r ““(p4*74‘0 = — U 2 Ä, habemr £ (p-hq-hr) 
= V2h, 
