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

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

Siddhanta Shiromani Ganitadhyaya of Bhaskaracharya with Commentary

भास्कराचार्य द्वितीय द्वारा

DevanagariHindipublished573 पृष्ठ

पृष्ठ 368, कुल 573 में से

संदर्भ में पढ़ें
पृष्ठ 368

848 tity in question, the other also should; but because the latter does not, to call them parameters is merely meaningless. It is interssting to note that in the commentary under this verse, Bhāskara says “ If for a circumference of 3927, the diameter will be 1250, ...” This means that Bhāskara takes π = 3927 / 1250 = 3·1416 which compares very well with the modern value 3·14159. The value of π adopted by Bhāskara in this, seems to have been taken from Lallā- chārya’s Śiṣyadhīvṛddhida, Chandragrahaṇādhikāra verse no. 3. “ शरयमाङ्गहता 625 भनवाग्निहृत् ग्रहवृतिश्रवणः फलमुच्यते ” Verse 4. Computation of what is called the ‘ Kalā- karṇa ’. The radius vector is to be computed even in the case of the Equation of centre as we did in the case of Śīghra- phala. If it be ‘ K ’, R² / (2 R - K) will be what is Kalākarṇa both in the case of the Sun, as well as the Moon. Comm. While obtaining the Equation of centre, the formula used was (r sin m) / R whereas, strictly speaking, it should have been as in the case of the Śīghraphala, after effecting the so called ‘ Karṇānupāta ’ (r / K) sinm. While trying to answer why this Karṇānupāta was not done there also, Brahmagupta gave such an answer as made Bhāskara exclaim ‘ यतो विचित्रा फलवासनाऽत्र ’ i.e. ‘ It is really curious in this respect.’ Bhāskara was really a most rational type of astronomer, and one will not fail to appreciate his sense of rationality when he declares that (1) “ अस्मिन् गणितस्कन्धे उपपत्तिमानेव आगमः प्रमाणम् ”: and when he was