[ 5 l6 ] 
Cafe XII. Given a, m, n Required/*. 
Find D=— E=-J = ;F=V2 U-.+ExE 
2 n + 1 
na 
Now, F — E = r, by 3d. But 1 r\ n — ^ • 
Therefore p — 
1 + H 
Cafe XIII. Given p, n , r •, Required a. 
Since A — 1 x a — pr A. Therefore a — A 
r A — i 
Cafe XIV. Given /», w, n j Required 
I 
Since A r-j-iT = — . Therefore r 4- 1 =^]”. 
P f P 
Hence A — 1 , and B — 1 ( r= r) are known. 
Therefore a — ~~~ * . 
A — 1 
Cafe XV. Given m, n, r ; Required a. 
Since A — 1 x<J = mr. Therefore a — ■ wr 
A — 1 
Cafe XVI. Given p, tn y r j Required rf. 
Since A = y,. A — 1 is given. 
Therefore . 
A — 1 
Cafe XVII. 
