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

299 Yet (R sin δ) / (sin φ) will have a value greater than R ie. even though the Sama-S'anku is never born so to say, it has a magnitude. ‘तत्कथमिदं वन्ध्यासुतवत्’ Bhāskara exclaims with respect to the magnitudes of Sama-S'anku and Taddhṛti as well, both of which are not there, yet, both of which have magnitudes greater than R. So he says “those magnitudes of the Sama-S'anku and Taddhṛti are like the sons of a barren lady”. Then he says ‘तदपि प्रदर्श्यते’ ie. ‘We shall show how they arise.’ Here he uses his intuition of the principle of geo- metrical continuity. Even when the diurnal circle does not cut the prime-vertical, their planes intersect, out- side the sphere and the perpendicular dropped from the point of intersection on the plane of the horizon is the Sama S'anku which has a magnitude greater than R. Similarly the Taddhṛti could be seen what it is now. These magnitudes can enter into a proportion like the I in verse 22, and do help us to get the other real magnitudes like the Unmandala S'anku etc. Verses 66, 67 and first half of 68. To obtain the time from the shadow. Iṣṭāntyakā = (U.K. × Carajyā) / I.K. = (D.K. × Antyā) / I.K. = (k × R²) / (R cos δ × I.K.) ; Rvers⁻¹ (Antyā − I. A.) = h Dinārdha − h = Unnatakāla where K = Karṇa, k = Vishuvat Karṇa, I.A. = Iṣṭāntya. Comm. We had under verse 62. Iṣṭa-Karṇa × Iṣṭa-Hṛti = D. K. × Hṛti = S. K. × Taddhṛti = U. K. × Kujyā multiplying throughout by R / (R cos δ)