Resolution of Algebraic Equations. 
i8 5 
Table of the simple Representation of the Roots of Equations of 
progressive Indexes . 
In quadratics, 
x ^ _A_ 
In cubics, 
f A +B 
3 
X = 
< 3 r 
Hr+{ + 
A - B 
2 
A + B 
In biquadratics, 
A + b + c 
4 
B + C 
A-B — C 
3 3 
A _ C , B — C 
3 • 4 
+ 
3 ' 3 
A + B A + C 
3 ~ 3 
In the fifth degree, 
r A + B + c + D 
5 
X — ■< 
r + 
A — 
+ A-C + 
4 • 5 
+ 
4 
A - D 
4 
A + B 
+ 
B + C B + D 
4 4 
B - C C + D 
4 4 
B - D C — D 
4 ' 4 
A 4- C A 4. D 
MDCCXCIX. 
Pp 
