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

151 is called gatiphala or what is to be added to the mean motion to give the true motion. Incidentally we have commented on the contents of verse 37. Verse 32. The Śīghra phala with respect to the Star- planets. (H sin m × r) / R being multiplied by the radius R or the product of H sin m and r being divided by K the arc of the result gives the Śīghraphala. Comm. In the verse it is mentioned that the product of the Bhujaphala and the radius is divided by K so that the formula for the Bhujaphala being (H sin m × r) / R the Śīghra- phalajyā will be (H sin m × r) / K which is stated in the alter- native. We have already derived this formula before where we got H sin E₂ = (H sin m × r) / K. The arc of this will be E₂ i.e. the Śīghra-phala, (E₂ because we take E₁ as the Mandaphala). Verses 33 and 34. An alternative formulation of Śīghra-phala. H sin m being multiplied by R and divided by K and the difference between the arc of the result and H sin m will be the Śīghra-phala. Here H sin m belongs to the eccentric. The arc of the maximum Śīghra-phalajyā added to or subtracted from 90° will give respectively the Quadrants and the H sine will have to be taken of the elapsed Kendra or its Koti according as the Quadrant is odd or even. Comm. Ref. fig. 13. From the similarity of the tri- angles E₁ M₂ N and E₁ PM, PM / M₂N = E₁P / E₁M₂ = R / K ∴ PM = (R / K) × M₂N