[704
T, the
704]
that is,
A MEMOIR ON THE SINGLE AND DOUBLE THETA-FUNCTIONS.
505
mected
angular
tem of
c 4
c 4
c 4
c 4
12
+
1
+ 6
- 0
9
+
4
+ 3
- 0
2
+ 15
+ 8
- 0
12
“1“
9
+ 2
- 0
1
+
4
+ 15
- 0
6
+
3
+ 8
- 0
1
+
6
- 9
- 2
6
+ 12
- 4
- 15
12
+
1
- 3
- 8
4
+
3
- 2
- 12
3
+
9
- 15
- 1
9
+
4
- 8
- 6
15
+
8
- 12
- 9
8
+
2
- 1
- 4
2
+
15
- 6
- 3
and we have, between their products, a system of 6 + 9 equations
a'a" + b'b" + c'c" =0,
a'a + b"b + c"c = 0,
aa' + bb' + cc' = 0,
be + b'c' 4- b"c" = 0,
ca + c a' + c" a” = 0,
ab + a'b' + a"b" = 0,
a ,
b ,
o
II
cT
— b"c',
c'a"
— c"a,
a'b"
— a'b',
a',
b',
c'
b"c
-be",
c"a
— ca",
ab"
— a"b,
a",
b",
c"
be'
-b'c ,
ca'
— c'a ,
ah'
-a'b :
C. X.
64