OF THE ROOTS OF CERTAIN SYSTEMS OF TWO EQUATIONS. 
721 
2a^f = x\yiZiCcl-\-xly^z^c(^^, 
2b"g = y\z,x^yl+ylz.jjc,y\, 
2c"h = z\x,y^zl-\- zlx^y^z\, 
2a*g = x\z^o^^^^\-o^^z^x\^ 
2 b"h = y\x^yl-\-y^^^y\, 
2 cH = zly^zl+z^^.z'l, 
2 a^h = 0(f[zlx^-{-xlz\x^, 
= fAy^-\-y\x\yi, 
2c"g = z\y\z^-\- z\y\z^, 
2bcf= y\z,y^z\-\-ylz^y,z\, 
2cag = z\XxZ^^ + zlx^Ziifi, 
2abh= x\y,x^ijl+xly^x,y\, 
2hc^=y,z\x^y^^ +y2zlx,y,z,, 
2cah = z^oelx^y^z^ + z.iX\x^y^z^^ 
2abf =x^y\x^y^z^-\-x^yyx^^^, 
2hch.=y\z,x^y^z^-\-ylz^x,y,z,, 
2caf = z\x,x^y^z^+ zyjc^,xy,z^, 
2abg=A" 
lyiX^y^z^+xly^^^z, 
4af^ — 2abc = 
x,y\z\x^-\-x^ylz\x^. 
4bg^ — 2abc = 
yxZ\xly^-\-y^zyif[y„ 
4ch^ — 2abc = 
z,x\ylz^-\- zXy\z,, 
4bP -2b^c = 
f^2zl+ylyxz\. 
4cg* — 2c^a = 
/ji2 _ |_ „Z„ /m2 
4ah^ -2a*b = 
rv^fy* /y/2 |_ /y»3/M «y2 
^i‘^2y2“ ‘^2^iyn 
4cP -2bc^ = 
z]ylz^+ zly\z,. 
p 
1 
to 
o 
11 
/yr^^^/v* 1 /y»3>y2^ 
4bh=^-2ab^ = 
y\^2y2-{-yyx!\y,. 
4agh — 2a*f = 
a^^x^y^z^ +^2^i^i2n 
4bhf — 2b^g = 
f,x^y^z^+y^^,y,z,, 
4cfg — 2c^h = 
z\x^y^^-{-zyc,y,z,, 
