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

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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