176 Journal of the Asiatic Society of Bengal. [N.S., XV, 
20. The only process required in the cases of the sun and 
moon is the ‘correction for the apsis,’ which may be repre- 
sented by tan « = (e sin v) /(1 + ecosv). The early texts give 
tabular results by means of which the calculations may, to 
some extent, be avoided. These, however, are not very com- 
plete and are not altogether in agreement.* 
20 (a) CO —In figure 10 (a) if BB or B'S’ 
(=r.Avorr. Av’) is the are on the epicycle passed over 
in time At, r being iis radius of the epicycle, and v = CAB 
or CAB’ being the anomaly, then if Bf is small, the angle 
BBn = ABB’ and Bn = BB cos ABB’. But By/ EB =aa’/R 
where # is the radius of the deferent, therefore 
BB 
‘= R. EB = — : 
aa By / R ap 008 ABB 
"R.r.av. Bu Br Br 
Pet ee ot ee R.av or = B.av. 
t 
Fig. 10 @) 
that a’a shoes equal and opposite to the motion in the deferent, 
that 
to Jacobi ‘and Sewell (Epigraphia Indica, i? 441 8 
xiv, 10) sin «=e sin v where ¢ is the ‘ reduced epicycle’ (§ 16) is senaietey 
emp! 
