354 
MR. R. A. FISHER ON THE MATHEMATICAL 
On the other side of the normal point, among the Type II. curves, very similar formulae 
apply. The fundamental Hessian is 
r-1 r-2 
r — 4 
r-1 
r-2 
0 
2 r-1 
r—4 
r-1 
r-2 
0 
0 U 
0 
r-2 
1 
r-2 
r-2 
where r is written for the positive quantity, - r, whence 
n&i 
2 r-2 
-3 V 
r — 9. 
r-2 F —r- -2r-lr-4 
and 
4 r— 1 r—2 
r-1 r-2 i F (^)-F ^ -2r-4 
Now since 
it follows that 
l \ 2 
r-2 F 
3 _ (r-2 
■2r-lr-4=r-2 F —y— ) — 2r r—3, 
r —4 
which is the same function of r—4 as 
7’ + 2 F 1 ^ j — 2 r +1 r + 4 
is of r. 
In a similar manner 
r+fr-2 2 |f (~~) - f ^ )r -2 r-1 r-4 
- 2 2 r —4 r—3l 0 - 
= ’-! p— - F — )-2*-2r+l, 
which is the same function of r—3 as 
is of r 
r+lWhi^)— F(|)}_2r + l,-+4 
