222 ON THE BITANGENTS OE A QUARTIC. [748 
are equivalent to three independent equations; this being so, they determine £, y, 
each of them as a linear function of {x, y, z) ; and the equations of the bitangents of 
the curve *J(x%) + 'Jiyv) + \/(z£) = 
0 (see Weber, p. 100) are 
18 
111 
111 
x — 0, 
28 
001 
Oil 
y = 0, 
38 
Oil 
001 
z = 0, 
23 
010 
010 
£ = 0, 
13 
100 
110 
rj — 0, 
12 
110 
100 
?=0, 
48 
101 
100 
x + y + z = 0, 
14 
010 
Oil 
g + y + z = 0, 
58 
100 
101 
ax + ßy + yz = 0, 
15 
Oil 
010 
| +ßy +7^ = 0, 
68 
110 
010 
ax + ß'y + 7 'z = 0, 
16 
001 
101 
+ ß'y + y z = 0, 
a 
78 
010 
110 
a"x + ß"y + y"z = 0, 
17 
101 
001 
4 + ß"y + y'z = 0, 
24 
100 
111 
x + y 4- z = 0, 
34 
110 
101 
x + y + Z= 0, 
25 
101 
110 
acc + r L+ r y z = 0, 
ß 
35 
111 
100 
o' 
II 
+ 
Qi 
+