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. 7)

459] 
ON THE DOUBLE-SIXERS OF A CUBIC SURFACE. 
329 
C. VII. 
42 
The several lines intersect as they should do, the coordinates of the points of 
intersection being as follows: 
1' 
3' 
4' 
6' 
621] 
-354' 
1239 L- 305 
0 
836J 
76, 
1 
0 
9693] 
-211-5-1073 
1064J 
9 
0 
0 
0 
0 
1 
10 
304] 
459] 
6' 
-141-5-29 
- 21 i-5- 47 
0 
Oj 
38 J 
76. 
76] 
2421] 
54 
— 6 1-5- 7 
-189 i-5- 233 
0 
oj 
152j 
304. 
42417] 
-1771-5- 5098 
8968 
-2484] 
66 >-=-24727 
251464 
6521 
-=- 727 
-493' 
| -1188' 
I 
59 
i-5- 78 354 
i-f- 253 
152. 
532. 
1 
-9 
-8 
1 
2 
0 
0 
807> 
| 3672] 
| 
-l 1 
l-i-398 -6 
i-5-1213 
3192] 
8512J 
1 
2 
3 
0 
0 
8 
7 
1080] 
* 
-42 
►-5- 283 
2128 J 
651 
-» 
► -T- 16 * 
154 J 
viz. the coordinates of 12' (intersection of lines 1 and 2') are (§$£, §^§), and so 
in other cases; where there is no divisor the coordinates are integers. I find however, 
on laying down the figure, that the lines 3 and 4, 3' and 4' come so close together, 
that the figure cannot be obtained with any accuracy.
	        
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