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

441 or δB = -βδβ / B (m₁ - s₁) ; similarly T² = (R + r)² - β² / m₁ - s₁ so that 2T δT = -2βδβ / m₁ - s₁ so that δT = -βδβ / T (m₁ - s₁) ∴ B¹ = B + δB = B - βδβ / B (m₁ - s₁) and T¹ = T + δT = T - βδβ / T (m₁ - s₁) ∴ B¹ / T¹ = (B² - βδβ / B (m₁ - s₁)) × (T (m₁ - s₁) / T² - βδβ) = (B² - βδβ) T / B (T² - βδβ) = (B - βδβ / B) / (T - βδβ / T) . Since βδβ / B ± βδβ / T B¹ / T¹ ± B / T . Regarding the finding of Iṣṭakāla when g the grāsa is given, we have the formula T - I = B / m₁ - s₁ = √(R+r-g)² - β² / m₁ - s₁ so that putting T - I = t t = √R+r-g² - β² / m₁ - s₁ ∴ As β increases t decreases so that T - t increases ie. I increases. Whereas as β increases T decreases. This means in a way that as T decreases. I increases so that I is taken to be inversely proportional to T ie. I' is taken to be (I × T) / T' as given. Here also, it could be seen that the inverse propor- tionality is not strictly there ; for β increasing both t and T decrease so that T - t ie. I will increase only if the decrease in t is greater that in T. But t² 56