130 



Log. 



3 

 r 

 a 



P 

 sin. |3 



= 0-47712 

 = 0-69897 

 = 1-76274 

 = -1-95215 



= 2-'89098 



= 0-47712 

 = 0-90309 

 = 0-69897 

 = 0-88137 

 = -1-89244 



APPENDIX. 



Logr. 



3 rap sin. /3 = 2'85299 3 rap sin. 0= 712'8 



2 



r 



= 0-30103 

 = 0-90309 

 a 2 = 1-39794 



sin. /3 =-1-89244 



2ra 2 sin.0 = 2-49450 2 r a 2 sin. = 312-2 



a 



P 2 

 cos. /3 



sin. 8 



= 0.69897 

 = 1-76274 

 = 1-79588 

 = 1-89244 



ap 2 cos./3sin. /3= 2-15003 ap 2 cos./3sin.j3=141'3 



Sum of positive terms 



= 8654-0 



cos. a 

 sin. a 



= 0-69897 

 = 1-76274 

 = -1-67778 

 = -1-94416 



= 778-0 ap 2 cos.a sin.a= 2-08365 a/> 2 cos.asin.a=121-2 



6 

 a 2 

 P 



= 0-77815 

 = 1-39794 

 = 0-88137 

 = -1-95215 



6n 2 p/3 = 3-00961 6<z 2 p/3 = 1022-4 

 2 



sn. 



= 0-30103 

 = 2-70927 

 = -1-89244 



2 r 3 sin. /3 = 2-90274 2 r 3 sin. = 799'4 



r 



P 2 

 sin. /3 



= 0-60206 

 = 0-90309 

 = 1-76274 

 = -1-89244 



4r P 2 sin.j3 = 3' 16033 4 r p 2 sin. =1446-5 



Sum of negative terms . . 

 Sum of positive terms . . 



= 8542-8 

 = 8654-0 



111-2 



Log. 



111-2 

 w* 



n 3 

 b 



w 



P 

 m 

 1 



44550000 



\_ 



2> 



= 2-04610 



= 0-99430 



= 3-52827 



= 0-94201 



= 1-80703 



= 0-88137 



= 1-20412 



= -8-35115 



=-2-19125 



Log. H.P.E. = 1-94560 



H.P.E. = 88-23. 



