सिद्धान्तशिरोमणि: गणिताध्याय (भास्कराचार्य - ग्रहगणित, मध्यमाधिकार व स्पष्टाधिकार सटीक)
Siddhanta Shiromani Ganitadhyaya of Bhaskaracharya with Commentary
भास्कराचार्य द्वितीय द्वारा
पृष्ठ 40, कुल 573 में से
संदर्भ में पढ़ें20
time. Hence the estimate of their mean motion by the
Hindu Astronomers naturally went wrong.
Noticing that the Mandoccha of the Moon has a
progressive motion which the Hindu astronomers could
measure correctly, they extended the analogy to the apogee
of the Sun and the aphelia of the other planets whose
motion also being very slow could not be measured during
the life-time of a man. So here also the estimate of their
mean motions of the Sun's apogee and the planetary aphelia
went wrong.
Bhaskarāchārya has given proofs as to how the sidereal
revolutions could be got but as we shall see later in the
Spaṣṭādhikāra, his proof occasionally suffers from what is
called ‘इतरेतराश्रयदोष’ ie ‘begging the question’. We shall
however construct our own proofs at that place deferring
them for the present, for, the proofs require an elucidation
which obtains in the Spaṣṭadhikāra alone.
Verse 7. The number of diurnal revolutions of the
stars in a Kalpa is 1582236450000.
Comm. In fact this number is that of the diurnal
rotations of the earth which is equal to the number of
apparent diurnal rotations of the stars, if the earth is
deemed as fixed. The only Hindu Astronomer who made
bold to say that the earth is rotating and not the stars
came under criticism by Brahmagupta and the latter Hindu
astronomers. Aryabhata said अनुलोमगतिः नौस्थः पश्यत्यचलं
विलोमगं यद्वत्, अचलानि भानि तद्वत् समपश्चिमगानि लङ्कायाम् ” ie
Even as a man stationed on a moving boat perceives that
the trees etc on the banks of the canal, river or lake to be
moving in the opposite direction supposing himself statio-
nary, so also men stationed on the surface of the earth
(which is like a moving boat) perceive the actually statio-
nary stars to be moving directly from east to west at
Lanka ie the equator ”.