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

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(4) Or again in the given place, for the value of
H cos δ to be valid the Unnatakāla x must be such that
15 H sin x > 13 R so that H cos δ might be less than R.
This means sin x > 13/15 = .8667 so that x > 60°—4' ; so
instead of 10 nādīkas, if the time were given to be just
even one Vinādika greater, it would have been alright, or
again if the latitude were given to be just a little less it
would have been alright.
Verse 92. Oh ! Mathematician ! please tell me the
magnitudes of the equinoctial shadow and the longitude
of the Sun if at a place on a particular day, Kujyā is 245
and Taddhṛti 3125.
Verse 93. Answer to the questiou above.
s = √[ 144 Kujyā / (Taddhṛti—Kujyā) ] and H sid δ = (12 Kujyā) / s
and H sin λ = (R H sin δ) / (H sin ω) .
Comm. From the fifth latitudinal triangle compared with third,
Kujyā / Krāntijyā = Krāntijyā / (Taddhṛti — Kujyā) = Agrā / S. S. = s / 12
(1) (2) (3) (4)
Multiplying (1) by (2) Kujyā / (Taddhṛti — Kujyā) = s² / 12²
∴ s = √[ 144 Kujyā / (Taddhṛti — Kujyā) ] Also Equating (1) and (4)
Krāntijyā = (12 / s) Kujyā.
Verse 94. Given that H sin δ + S. S. + Taddhṛti—Kujyā = 6720, and Kujyā + Agrā + H sin δ = 1960. Then
I shall consider him who finds s and the longitude of the
Sun as the very Sun illuminating the lotuses of astronomers.