43 2 Dr. button on Cubic Equations 
a - 4 a = i 
g = | b = o’oo3673i 
J = 44 d = 8 
y = 44 c = - *0000450 
+ 1*0036739 
*- 0000450 
lories = + 1-0036289 - log. 0*0015732 
v 7 1 1 - - - 0*3471309 
v 7 3 - 0*2385606 
± 3*8660254 - 0*5872647 
| the kaft root 1 + 0*1339746 
with a contr. lign j oy t *t 
fum + 4*0000000 greateft root 
diff. — 3*7320508 middle root. 
108. But the fame 3 roots, found in Art. 59, are 
alfo 4, and — 2 ± -v/3 ; which being compared with the 
feries in this example, we find 
I + 2l/ 7 2.2 
.5.8. 
24 
3.6.11 3. 6.9.12. II 4 3.6.9.12.13*18.11' 
l=Hy 1Q ,T =± -- y„*ii ^ + 
4 3 3.6.9. ii 3 . 6 . 9 . 12 . 13 . 1 1 4 
xoq. Ex. 5. In the equation a; 3 - 6 a; = 4, we have 
a-- 2, b = 2, and c 2 = b 2 + a 3 = 4 - 8 = ■- 4, which 
being negative, and = £ 2 , this cafe belongs to the feries 
either in Art. 82 or 95. The operation of fumming 
the terms by them is here omitted, becaufe fo much 
room 
