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. 5)

110°55' 
, >/5-1 n/5 + 1 . 
“ 4 * + 4 ^ 
Axial System of the Dodecahedron and Icosahedron (concluded). 
angle 
36° 
60° 
72° 
Distances 
cos 
Azimuths 
cosZ 
cos Y 
cos Z 
Rot. Symbols 
angle 
cos 
sin 
15 2-axes, ^Rot. angle = 90°, cos=0, sin —1. 
1 
1 
0 
* 
* 
I 
0 
0 
1 
0 
1 
0° 
1 
0 
1 
0 
0 
» 
33 
90° 
0 
1 
0 
1 
0 
si 5+ 1 
> /(10-2>/5) 
\^5 -1 
2 
»/5-1 
+ 4 
s/5 + 1 
4 
4 
v '(10 - 2 s/5) 
v /(10-2> / 5) 
+ 4 
1 4 
3 3 
» 
297°20' 
+ 93 
5 3 
+ >3 
- „ 
+ „ 
9 9 
» 
242°40' 
- .. 
3 3 
■ 
— 3 3 
+ „ 
,, 
117°20' 
„ 
+ ,, 
+ 33 
+ 93 
\ ; 3 
s/5 + 1 
s/ 5 - 1 
v/5 + 1 
s/5-1 
h 
"2" 
20°55' 
2 s/5 
+ /" 
2 V 3 
+ 4 
+ -r~ 
+ h 
- 
» 
339°5' 
+ ,, 
33 
+ 
~ 3 3 
+ ,, 
» 
.. 
200°55' 
- 
33 
- „ 
— 33 
+ ,, 
33 
159°5' 
- 
+ 33 
- „ 
+ 33 
+ „ 
*/5-1 
1 x /(10 + 2\ / 5) 
n/5-1 
i + 2 , 
+ 1 
5 -f-1 
4- 
s/5-1 
~r~ 
" 4 ~ 
V(10-2>/5) 
x /(10 - 2 V 5) 
+ 4 
+ 4 
” 
» 
297°20' 
+ 99 
+ », 
“' 33 
+ „ 
99 
99 
242°40' 
„ 
9 9 
- „ 
” 33 
+ „ 
” 
» 
117°20' 
» 
+ 33 
- „ 
+ 93 
+ „ 
s/5 - 1 , . s/5 +1 . 
- 1 -г+iJ + — г -k 
s/5-1 . , . >/5 + 1 , 
s/5-1. .. */5 + 1 
- 4—i-h+—i k 
A 5 - 1 . , . s/5 + 1 
-~4T' + i>+-—* 
>/5 +1 . \/5 -1 . , 
s/5 + 1 . s/5-1 . 
s/5 + 1 . s/5-1 .. 
- — •—4-J + i* 
n/5 +1 . >/5 - 1 . 
4—i + —j + 4* 
, . >/5+1 . s/5-1, 
hi+ + 
. . s/ 5 +1 . s/ 5 — 1 , 
»*- T" + * 
, . >/5 + 1 . >/5 - 1 7 
- 4* 4 3 + ~4 * 
. >/5 + 1. /5-1, 
- hi + - 
J + - 
Hl 
NOTES ON POLYHEDRA.
	        
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