[ 342 ] 



Whence from the equation (A) B x TF-^'' — r^ /% we have 

 by Prob. 2. 



(A) B r* + B 2V/ = or B = - — - 



(A) B;-^ + 2B2. r/+ B 23 /^ =^ or 13:^ ^r-_ 



3. .-. .. 2^/5 3 



(A) B r^ + 3 B 2* r / + 3 B 2' r A + B -- ^ or B = _ 



208 — . 



4 4 3 2 2* / 2^ /+ 



(A) B r- + 4 B 2^ r/ + 6 B 23 /^ + 4 B "— + B -— = 



^. h 



or B = 2400 — - 



5 5 4 3 2 24/3 25 /* 



(A) Br^+ 5BaV^+ ioB2^/^ + loB '— + 5B— - + B 



i = or B = — -; • 



&c. 



Now when ^ = 45°, x — a = U whence taking the fluxions 

 of the equation yr = B by Frob. i, and fubflituting for /, /, 

 we get 



2 Ix ~ B = — "J-, or a - X = — — ' 



2 /x 



