164 A. ÏANAKADATE. 



within 0<r <J-^n 



2.1 Vi+j/ '3Vl4-jr;o<6<7t 



within y|-R<'/-<K 



c=---!sin-^ — +sin"^- — ^=^-j- , — p . /-^ 



" 2 1 v'i+/ 3v'i+2rJo<o<siu-y_^^è-sm-y^ 



or 7i-sm-i./l5-sm-V-^<Ö<^ 



in either case p is positive 



2l Vi+jr SVl+p-i 



or in the case p negative 



within R< r < co 



r = -l|2;r-siii-'-J— -siir^- — ?— ^l .^ . r^^ 



•* 2 i •%/ 1 + ?r àVl+ ]f) < <sin- W ---sin "' V ^--:^. 



c = — < r + siü"' — =^ — sin"^- —J- /^ /-;.-p -R 



I ± ▼ y 'or ' 



' 2i Vl+jr 3Vl+7>-3cos-i-<o <7t-sin-iy--sin-iy_-- 

 c= — s sin"^ — ==-^^ + sitr\- — 1 «^ /.vp 



2 I Vl+2/ SVl+p^T.-ûn-U^-sm~^J-h 



r(^^) 



E 



r(^3) 



0< T. 



In the first and third p is negative. 

 In the second and fourth p is iiositive. 



Applying the first and second of (22) to the vahies in table 

 XXI, we get 



I. II. III. IV. V. 



5(J.°S 53.°1 49.°U 47.°5 4G.°LI 



