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

262 dala in figure 44, (H cos z) / 12 = R / K = (Unmandala Śaṅku) / 12 (c) Eliminating Krāntijyā and Unmandala Śaṅku from (a), (b) and (c) (Unmandala Śaṅku) / (H sin λ H nis ω/R) = s / k ∴ (12R / K) / (H sin λ H sin ω / R) = s / k ie. 12R² / (KH sin λ H sin ω) = s / k ∴ K = (12R² × k) / (s H sin λ H sin ω). Here 12R² / (H sin ω) = (12 × 3438²) / 1397 = 101531 ; but Bhāskara has taken 101530 taking a more correct value of R. Then 101530 / (H sin λ) is symbolized as para so that para × k / s = K = Unmandala Karṇa. Regard- ing the Samavṛttakarṇa, in the place of (b) above we have (Sama-Śaṅku) / Krāntijyā = k / s (b') by the similarity between the first and the fifth latitudinal triangles. Equation (c) holds good with respect to any H cos z and the corres- ponding K since 12 R = K × Śaṅku and 12 R is a cons- tant. Noting therefore R / K' = (Sama-Śaṅku) / 12 (c') eliminating Krāntijyā and Sama-Śaṅku among (a), (b'), (c'), we shall have K = (12 R² s) / (k H sin λ H sin ω) = para × s / k as stated. Second half of Verse 42. To obtain the Dinārdha- karṇa from the Unmandalakarṇa. (Un-mandalakarṇa × Charajyā) / Antyā = Dinārdhakarṇa. Comm. We have equation (c) above stating 12 R = K × Śaṅku. (c) But