Second Cafe of the Cubick Equation x l '-qx-r. 91 1 
2(f* • ^.r yjxrffl + yr _ i’8rr-j- 2 V3 X m + 2 ^3 X m + 1 8rr _ 
"* 277*4- 54^ ” 2 i8r + 2 V '3 X r m f 367*4-41/3 x*» 
i^t 4 , ^ = r B u t we have before fhewn that x^-qx 
367*4- 4V3 Xm 1 
Therefore x l -qx is=r , and confequent- 
is the true value of w in the cu- 
• r 2q s 
is 1- s +■ — - — — 
2 i fr 4- 54i 
i y s/ 3 
+■ j + 
/ 3 
r 
— •¥ S 
2 
bick equation x 3 - qx^r. Q. E. D;- 
other Expreffions for the Root of the foregoing E~- 
qua t ion. 
8. Two other expreffions may be found for the root' 
of this equation by refuming the inveftigation con- 
tained in Art. 5. The firft of thefe expreffions is 
? or (if we put ss, as 
■ 4 \ H; 
before, = 
4 
S + 
rr q, 
27 
' 1 
4 \ 
The other ex- 
+J+' 
preffioa Up fR/fH’ ° r V 
j-k- Si Thefe expreffions are to be found in the fol- 
lowing manner. - 
Invefligation of the faid Expreffions* ■ 
9. In Art. 5 . we fuppofed the line a; to be divided in- 
