PROFESSOR CAYLEY ON CUBIC SURFACES. 
249 
-(p-«)+^ 
n \V— 0, 
P + /3 
[16'=z] 
- t^-tX+-Y -J-? iZ -j- W= 0, 
m(p—u.) 1 m ' 
[56'— 1] ! 
®- ( ;i a) Y+>z+w_°, 
[45'=m] 
7 X +“ Y -^ Z + W = 0 ’ 
[64' =n] 
^.jX+wY+jZ+W-O, 
[15 . 26 . 34=1] 
7X-^Y +11 Z+W=0, 
[16.24.35=m] 
ZX-f- 1 Y— , 2Z >Z+W=0, 
1 m myp — a. j 
[14.25. 36 =n] 
x+-+wZ+W=0, 
2m ' TO 1 1 
[65'=lj] 
' ( C“’y+-z+w 
2?z 1 n 1 3 
[46'=mj] 
yX+rnY- ' Z+W=0, 
[54 , =n 1 ] 
m( Y“ ) X+mY+' Z+W=0, 
[16.25.34=1,] 
* X __ n (p-«) Y+,zZ+W=0, 
[15.24. 36=m,] 
ZX+ 1 Y- Z( ^“ a) z + W=0, 
1 m 2m 1 ’ 
[14.26.35=1^] 
oY W 
+ ^Y + mZ -f (mw ( ]) — a ) — 2 Z( 1 — to 2 — n 2 ) ) = 0 , 
[51'=p] 
oY W 
«X-^+7Z+M7>-a)-2 m (l-»=-7’))^=0, 
[35'=q] 
mX + IY —~r a +(lm(p—a)-2n(l — F- m 1 )) ^rjg= 0, 
[13. 25.46=r] 
[26'=P] 
S x +pr;+7 z +(s(2 , ~“) _ s( 1_ ? _ ?))^ =0 ’ 
[16.23.45=5] 
ix+iY--^ + (4(7,- K )- 2 fl-i-4))^ 1 =0, 
m / p — a J n\ i m~J )p — p ’ 
[36'=r] 
MDCCCLX1X. 2 M 
