Full text: The collected mathematical papers of Arthur Cayley, Sc.D., F.R.S., sadlerian professor of pure mathematics in the University of Cambridge (Vol. 6)

412] 
A MEMOIR ON CUBIC SURFACES, 
363 
13. It will be convenient (anticipating the results of the investigations contained 
in the present Memoir) to give at once the following Table of Singularities; the 
several symbols have of course the significations explained in the former Memoir. 
to” 
o' 
to" « 
<m O 
« to' 
to' 
i 
o CT 
to" 
<N to 
CO IQ 
to to 
dT 
CO 
H zo 
to PCI 
to® 
CM 
to" to 
to" 
o 1 
i i 
of to“ 
§T to® 
af 
CO 
rH 
1 
1 
1 1 
l l 
1 
1 1 
1 
i 
i i 
1 
1 
i i 
i i 
1 
rH 
CM* 
<M 
<M 
CM CM 
CM <M 
CM 
CM CM 
CM 
cm 
<m 
(M CM 
CM 
tH 
i—1 
T—1 
rH i—1 
r—1 r—1 
rH 
t—1 rH 
1—1 
1-H rH 
rH 
rH rH 
tH 
Co 
to 
II 
II 
II 
II II 
II II 
II 
II II 
II 
II 
II II 
II 
II 
ii ii 
II II 
II 
II 
II 
hH 
i> _ 
hH 
hH hH 
hH 
hH 
hH 
hH 
¡Xj 
H ¡> 
H HH 
> 
hH 
P> 
hH 
£ 8 
hH 
hH 
O X 
hH 
XI 
hH 
hH 
X 
hH 
hH 
XI 
hH 
hH 
hH 
►h > 
> > 
> 
X 
hH 
X x 
X 
X 
X X 
>4 X! 
X 
X 
X 
Y 
n 
3 
3 
3 
3 
3 
3 
3 
3 
3 
3 
3 
3 
a 
6 
6 
6 
6 
6 
6 
6 
6 
6 
6 
6 
4 
5 
0 
1 
0 
2 
1 
3 
0 
2 
4 
1 
0 
0 
K 
6 
6 
7 
6 
7 
6 
8 
7 
6 
8 
9 
3 
b 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
1 
k 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
t 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
Q 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
P 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
1 
j 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
2 
c 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
h 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
r 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
(T 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
6 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
X 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
P 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
y 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
i 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
c 
0 
1 
0 
2 
1 
3 
0 
2 
4 
1 
0 
0 
B 
0 
0 
1 
0 
1 
0 
2 
1 
0 
2 
3 
0 
I 
II 
III 
IV V 
VI VII 
VIII X XI XII 
IX 
XIII XIV XV 
XVI XVIII XIX 
XVII XX 
XXI 
XXII XXIII 
n' 
12 
10 
9 
8 
7 
6 
6 
5 
4 
4 
3 
3 
a! 
6 
6 
6 
6 
6 
6 
6 
6 
6 
6 
6 
4 
5' 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
K 
9 
9 
9 
9 
9 
9 
9 
9 
9 
9 
9 
3 
b' 
27 
15 
9 
7 
3 
3 
0 
1 
3 
0 
0 
1 
k' 
216 
60 
18 
12 
3 
0 
0 
0 
0 
0 
0 
0 
t! 
45 
15 
6 
3 
0 
1 
0 
0 
1 
0 
0 
0 
<l' 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
27 
15 
9 
7 
3 
3 
0 
1 
3 
0 
0 
1 
j' 
0 
0 
0 
1 
0 
3 
0 
1 
6 
0 
0 
2 
c' 
24 
18 
16 
12 
10 
6 
8 
4 
0 
2 
0 
0 
h' 
180 
96 
72 
38 
24 
6 
12 
2 
0 
0 
0 
0 
r' 
30 
24 
42 
17 
24 
9 
32 
5 
0 
2 
0 
0 
(r' 
12 
12 
12 
10 
9 
6 
8 
4 
0 
2 
0 
0 
6' 
0 
0 
16 
0 
8 
0 
16 
0 
0 
0 
0 
0 
x 
0 
0 
0 
0 
1 
0 
0 
2 
0 
2 
0 
0 
P' 
54 
30 
18 
13 
6 
3 
0 
1 
0 
0 
0 
0 
y' 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
V 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
C' 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
B' 
0 
0 
0 
0 
0 
0 
1 
0 
0 
1 
3 
0
	        
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