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

429 where that method of successive approximation is circumvented and where by the presence of K in the place of R, analogy is with the eccentric method of formulation of Śīghraphala and not that of Mandaphala. Also K² = E₂M² = E₂L² + ML² = (E₂K–LK)² + ⊙K² = (E₂K–M⊙)² + ⊙K² = (H cos KÊ₂ ⊙ –Para)² + H sin² KÊ₂ ⊙. But if L be the lagna of the moment L⊙ = 90 – V⊙ so that H cos KÊ₂ ⊙ = H sin ⊙L and H sin KÊ₂ ⊙ = H cos ⊙L ∴ K² = (H sin ⊙L–Para)² + H cos² ⊙L as formulated in the verse. Fig. 95 is in the plane of the Ecliptic. The parallax in the vertical circle is projected on to the plane of the Ecliptic by taking 4/R H cos ZV as the Para, and deriving the parallax in longitude from this Para. Now, the doubt arises as to why the Śīghrocca is not taken to coincide with the Vitribha but is taken as removed 180° therefrom. Verse 10. H sin ZV (of fig. 92) is called the Dṛk- kṣepa of the Sun, which is considered to be north in case the northern declination of the Vitribha is greater than ϕ the latitude, otherwise south. Comm. Let in fig. 96, AV be the Ecliptic whereof A is the ascendant or Lagna and V the Vitribhalagna. Let EQR be the celestial Equator. Let δ be the decli- nation of the Vitribhalagna. Then if δ > ϕ. then ZV, the arc of the the Dṛk-kṣepa, (H sin ZV being defined as the Dṛk-kṣepa) as well as H sin ZV are considered to be north. Thus in fig. 96, it is north whereas in fig. 97 it is south. (In fig. 97, r is shown outside the celestial sphere, signi-