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

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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 =