सिद्धान्तशिरोमणि: गणिताध्याय (भास्कराचार्य - ग्रहगणित, मध्यमाधिकार व स्पष्टाधिकार सटीक)

148 A¹ÊV - A¹ES = SÊV (in fig 11) and = A¹ÊJ - AŜJ = S Ĵ V̂ᴱ = Sighraphala. Once the similarity of the triangles fig. 12 is established, the equality of the Sighraphala will be establi- shed. Also due to the similarity mentioned above the for- mulae for K as given in Hindu Astronomy should also accord with that in the heliocentric figures. In fact in the heliocentric figures K² = R² + r² + 2Rr cosm = R² + r² + 2RH cosm which is indentical with the four formulae given before as per verses 27, 28, 29. It will be seen that the epicycle (M₁) with radius M₁M₂ will be identical with the inner circles in the heliocentric circles, whereas the Kakshamandal (E₁) with radius R will be identical with the outer circles of the heliocentric figures. Before we proceed further, we shall annex the table wherein the ratio r/R as given in Hindu Astronomy will be seen to accord with that in modern astronomy.

Planet	Periphery of the Sighra-epicycle	Periphery of the deferent	Ratio	Value in modern astronomy taking Earth's radius to be unity
Mercury	132°	360°	132/360 = ·37	·387
Venus	258°	360°	·716	·723
Mars	243 ⅔°	365°	1·5	1·52
Jupiter	68°	360°	5·3	5·2
Saturn	40°	360°	9	9·5
In the light of this table the similarity of the triangles
ESV, and JSE with E₁M₁M₂ is now established.