412]
A MEMOIR ON CUBIC SURFACES.
403
Section V = 12 — jB 4 .
Article Nos. 85 to 94. Equation WXZ + (X + Z)(Y> - ctX> - bZ*) = 0.
85. The diagram of the lines and planes is
Lines.
bd bO h-»
V=12-£ 4 .
12
1'2'
11'
12'
21'
22'
11'. 22'
12'. 21'
2x12 = 24
lx 3= 3
4 x 4 = 16
86. The planes are
Biplanes containing
rays 1, 2 and 1', 2'
respectively.
Plane touching along
edge and contain
ing the transversal.
Biradial planes each
containing a ray
of the one and a
ray of the other
biplane.
Planes each through
the transversal.
z = o,
[12]
Z =0,
[l'2 r \
X + Z= 0,
[0]
-XVa+Y-ZVb = 0,
[HI
XVâ+ Y — Z Vb = 0,
[121
-XVa+Y+ZVb = 0,
[211
XVa+Y+ZVb = 0,
[221
Vrí(X + Z)+ W = 0,
[ir.221
— 2 Vab (X + Z)+ W = 0,
[12'. 21'].
51-