REPORT ON 

 We have also 



F= Hsm Z=//tan0 



X'= H' cos ' T'= H sin \ ' 



Substituting these values in equations (1), (2), and (3), and dividing by //, we 

 have 



11 cos '= (1 -f a) cos b sin -f c tan -f 7 ' (4) 



- .sin f ' = rf cos - (1 -f e) sin f +/ tan + . (f,) 



= g cos - 7* sin + (1 +*) tan + ((i) 



Equation (6) may be written 



_ , Z' cos sin .R 



-- h - (6a) 



From equations (4) and (5) we obtain the following : 



(4) cos (5) sin gives after some reductions 



^'cos = 1 + .+ e + ( c tan 6 + J) cos <f _ (/ tan 



sn 



+ -co.2_.in2 7) 



(4) sin ^ -}- (5) cos ^ gives after some reductions 

 ^ sin 5 = *T1* + ( c tan + g) sin + (/ tan + ^ ) cos $ 



+lpos2^ (8) 



Now let 



Then from equations (7) and (8) we get the following : 



IT 



^ /f cos 5 = 1 + 93 cos g sin + $ cos 2 g sin'2 (9) 



If 



^ // sin3 = 2l + 23sin + ecos + 2)sin2 + (cos2 (10) 



Dividing (10) by (9), 



t sn " 



