-/ [ 28l ] 
Fir ft, if AH be left than B, and A K, greater, 
put AHrB — ^ B» nnd AK^B + ^B. Then HK=J~+^B.. 
And fubftituting thefe values for AH, AK, and 
FIK, refpe&ively, we fhall have, by the theorem, 
for AL, 
q t + q f — tp — pi 
AL 
qs -f tp 
D. 
And hence if t — q, AL =: - D X I — -• 
2 p + s q 
2. If AH and AK both exceed B, 
put AH-B+ - B, and AK=B;+- B. Then H,K_ 
q 5 t 
<1 
In this cafe AL =: D. 
qs— tp 
And if t =r AL — r/ -- Dx i -f 
i — p q 
3. Again, if both AH and AK be lefs than B, 
put AHzzB — - B, and AKrB- - B. Then, HK = ---?B. 
q t q s 
And fub.ftitucing thefe values, AL 
AL 
>“>x. 
__qt — qs — tp -f -ps 
tp—qs 
i 
D ; or if t — q t 
And, by the theorem, for LD, we fliall have by 
due fubftitution, in the firft cafe, 
JL 3; 
qs -f qt 
v + tf D = ‘* b - kg- LE) i or. tf l = q, 
L D = tab. log. LD. 
Vol; LXIV. 
O G 
In 
