208 at the other place as multiplied by the antyaphala (i.e., the epicyclic radius)¹. Thus is obtained the entire bahuphala (or kotiphala) for the Sun, Moon, or the star-planets. So also are obtained the direct and inverse Rsines.² This rule is based on the formula: sin 0 Therefore, ASTRONOMICAL CONSTANTS so that where is in degrees. The following is a rationale of this approximate formula : In Fig. 24, let CA be the diameter of a circle of radius R, where arc AB is equal to 0 degrees and BD-Rsin 0. Then Area ABC = Also area ABC = Let 1 BD = 4(1800)0/{40500-(180-0)0}, AB. BC. AC. BD. AC AB. BC Putting 30°, 1 AC BD (arc AB) × (arc BC) 1 BD so that Rsin (= R= i.e., 2xR +4500 y x. AC (arc AB)x(arc BC) +y, 0 (180--0) 2xR+0 (180-0) y = 2 xR 0 (180-0) 30 x 150 2xR+30 x 150 y 9000 R Fig. 24 + y 1 इष्टोच्चनीचव्यासार्धं परमफलजीवा | BrSpSi, xiv. 24 (ii).
- Cf. Br.Sp.Si, xiv. 23-24; Sise, iii. 17.
(1) 0 (2) A
