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

147 We shall prove that m the Sīghra anomaly of the Hindu figure will be the same as 'm' as marked in the heliocentric figures. Sīghra anomaly is defined as longitude of Sīgh- roccha - longitude of the planet = a Ê₁ A₁ - a E₁ M₁ = a¹ Ê₂ A₂ - a¹ Ê₂ M₂ = m(fig. 13.) In the heliocentric fig. 11, since A¹EV¹ is the longitude of the Sīghroccha, and A¹ Ê S the longitude of the Sun treated as the Madhyagraha of the Inferior planet A¹ÊV¹ - A¹ÊS = V¹ÊS = V Ŝ S¹ = m = the Sīghra ano- maly. In fig 12, m = S¹ŜJ = SÊJ = A¹ÊS - A¹EJ¹ = A¹ES - A Ŝ J = Longitude of the Sun treated as the Sīghroccha of the Superior planet minus longitude of the heliocentric planet known as Mandasphutagraha or the planet rectified for the Mandaphala or equation of centre = Sīghra anomaly In the case of the Inferior planet the heliocentric direction of the planet is equal to the Sīghroccha. Now consider the triangles ESV, JSE, E₁M₁M₂ of the three figures. Evidently E Ŝ V = J Ŝ E = E₁ M̂₁ M₂ = 180 - m = Supplement of Sīghra anomaly. If, further it is shown and (it will be shown subsequently) SV / SE = SE / SJ = M₁M₂ / E₁M₁ the similarity of the triangle E₁M₁M geocentric figure separately with ESV and JSV will have been established. Taking this similarity to have been established, M₁ Ê M₂ known as Sīghraphala will be equal to SÊV in fig. 11 and SĴE in fig. 12. In fig. 13, M₂ the prativritta Madhagraha is also known as the pāramārthikagraha or the actual planet where as p its geocentric position on the Kakshāmandala is taken to be the true planet or apparent position of the planet. In figures 11 and 12, EV and EJ are the directions to the true planets V and J so that the angles between the Sphuta- graha and the Madhyagraha (ie the Manda Sphutagraha =