108
-D222 — 24 x
ON LINEAR TRANSFORMATIONS.
[14
D 62 l = 4 x
-H210 — 2 x
a 2 d 2
4- 1
abed
- 6
a,c 3
4- 4
b 3 d
4- 4
b 2 c 2
- 3
± 9
Dm = 2 X
a 2 / 2 4- 1
abef — 10
acdf + 4
ace 2 4-16
ad 2 e — 12
& 2 c/ 4-16
6 2 e 2 + 9
6c 2 / — 12
bcde — 7 6
6rf 3 4- 48
c 3 e 4- 48
c 2 cZ 2 - 32
4 142
aceg 4- 1
acf 2
- 1
ad 2 g
- 1
adef+ 2
ae 3
- 1
b 2 eg
- 1
bT
4- 1
bcdg-\- 2
beef
- 2
bdf
- 2
bde 2
4-2
c 3 #
- 1
Mf
4- 2
c 2 e 2
4- 1
cd 2 e
- 3
d 4
4- 1
± 12
Dm — 2 x Dq. 2 q — 2 x
add 4-
1
abgli —
14
acfh 4-
18
aeg 2 4-
24
adeh—
10
adfg-
60
ae 2 g 4-
40
bfh 4-
24
b 2 g 2 4-
25
bceh —
60
Wd -
234
bd 2 h 4-
40
bdeg +
50
bdf 2 + 360
be 2 f -
240
c 2 eg 4-360
c 2 / 2 +
81
cd 2 g -
240
edef —
990
ce 3 4-
600
d 3 f 4- 600
d 2 e 2 4- 375
a 2 i 2
4-
1
abhi
—
16
aegi
4-
36
ach?
4-
20
adfi
-
52
adgli
-
60
ae 2 i
4-
30
aefh
4-
20
aeg 2
4-
60
apg
-
40
b 2 gi
4-
20
b 2 h 2
4-
44
befi
-
60
begh
-
388
bdei
4-
20
bdfh
4-
696
bdg 2
4-
180
be 2 h
—
340
he fd
-
460
bf 3
4-
240
c 2 ei
4-
60
c 2 fh
+
180
c 2 g 2
4
544
cd 2 i
—
40
edeh
—
460
cdfg
-
2596
ce 2 g
4-
2340
cef 2
-
420
d 3 h
4-
240
d 2 eg
—
420
df 2
+
12876
de 2 f
-
3280
e 4
4-
1025
4 8632
D330 — j D 2 22 4- 2, Dq ,
-D530 = f D 62q 4- q 5g 2 ,
D*a0 — 2 Umi 4- -Do
equations which give the functions
Am. As3o> D sw> by means of which
the others have been expressed.
1^810 — 2 X
a 2 ] 2 4- 1
abij — 18
achj + 40
+ 2
aci 2 4- 32
- 2
adgj — 56
- 7
adhi— 112
4- 7
aefj + 28
4- 5
aegi 4- 224
4- 22
aeh 2
- 27
afH - 140
- 25
cfgh
4- 45
ag 3
- 20
b 2 hj + 32
- 2
b 2 i 2 4- 49
4- 2
begj — 112
4- 7
bchi — 536
- 7
bdfj 4- 224
4- 22
bdgi 4- 392
- 74
bdh 2 4- 896
4- 52
be 2 j — 140
- 25
befi - 196
+ 73
begh— 1792
- 23
bf 2 h+ 1120
- 70
W
4- 45
c fj
- 27
c 2 gi 4- 896
4- 52
c 2 h 2 4- 400
— 25
edej
4- 45
cdfi - 1792
- 23
edgh— 4256
- 22
ceH + 1120
- 70
cefh 4- 560
4- 127
ceg 2 4- 6272
- 32
cf 2 g - 3920
— 25
d 3 j
- 20
d 2 fh+ 6272
- 32
d 2 g 2 4- 784
+ 47
d 2 ei
4- 45
de 2 h — 3920
- 25
defg- 13328
- 85
df 3 4- 7840
+ 50
e 3 g 4- 7840
4- 50
e 2 / 2 - 4704
- 30
± 35022
± 698
