290 
PROFESSOR CAYLEY ON CUBIC SURFACES. 
Section VIII=12 — 3C S . 
Equation Y 3 +Y(X+Z+W)+4aXZW=0. Article Nos. 117 to 125. 
117. The diagram of the lines and planes is 
Lines. 
Ci 
Cl **• 05 Ul 
- 
W,l 
<Xl >si| 
CO CO ^ 
VIII = 
12— 3C 2 . 
SI 
ca 
CO 
CO 
X 
X 
X 
fcO 
T 
31 
s 
CO 
5 
7 
• 
Planes each touching 
8 
3X2= 6 
• 
along an axis and 
containing the cor- 
9 
• 
• • 
responding trans- 
versal. 
12 
, 
# 
34 
3X2= 6 
• 
Biradial planes each 
* 
containing two rays 
56 
• 
• 
• 
of the same node. 
i 13 
. 
• 
. 
o 
to 24 
• 
• 
16 
. 
Planes each containing 
6x4 = 24 
• 
• 
an axis, and two rays 
25 
. 
• 
through the terminal 
46 
. 
• * 
. 
nodes respectively. 
35 
. 
• 
789 
1X8= 8 
. 
Plane through the three 
. 
axes. 
789 
1x1= 1 
* 
» 
Plane through the three 
14 45 
transversals. 
gj 
H3 
Axes 
no 
1 
JiM. - 
| | 
Pj~ 
GO 
osV M 
l 
S' 
m jr 
- “ I 
Jb 
o* 
3 
o §-. 
3* 
3 - pu 
® 09 
OQ 
'£T e*- 
o 
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