सिद्धान्तशिरोमणि: गणिताध्याय (भास्कराचार्य - ग्रहगणित, मध्यमाधिकार व स्पष्टाधिकार सटीक)
Siddhanta Shiromani Ganitadhyaya of Bhaskaracharya with Commentary
भास्कराचार्य द्वितीय द्वारा
पृष्ठ 368, कुल 573 में से
संदर्भ में पढ़ें848
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