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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 434, कुल 573 में से

संदर्भ में पढ़ें
पृष्ठ 434

414
Having got this estimate, they reckoned this angular
measure in time as the time taken by the Moon to traverse
the distance MM' equal to the radius of the Earth as
follows. The Moon traverses 790′-35″, which is exactly
15 times 52′-42″. Hence they said that the maximum
horizontal parallax is 1/15th of the Moon's daily motion in
arc and expressing it in terms of time, that the maximum
horizontal parallax is 1/15 of a day or 1/15th of 60 nādis or
4 nādis.
That this horizontal parallax is 4 nādis as a maximum,
would have been also verified at the time of a solar eclipse
when the Sun was situated on the horizon at the time of
conjunction, by the fact that the eclipse occurred four nādis
in advance of the moment of geocentric conjunction
(which could be calculated very accurately by the Hindu
astronomers, as could be seen by the very correct estimate
of a lunation in Hindu Astronomy. In fact, the length
of a lunation must have been estimated correctly by noting
the time-interval between two solar eclipses or lunar and
by dividing that time by the integral number of lunations
elapsed in between the two eclipses).
The question then arises as to how the Hindu Astro-
nomers could know the distance of the Moon. From the
estimate of the horizontal parallax by actual observation,
and from the geometry of fig. 93, a correct estimate of the
distance of the Moon must have been arrived at.
Having thus known that the Moon traverses a
distance equal to the radius of the Earth in 4 nādis, his
daily linear motion was estimated to be 15 times the radius
of the Earth ie. (15 × 1581 1/6) / 2 = 11858 3/4 Yojanas.
The daily motion of the Moon having thus been
estimated almost correctly, an act of inexpedience on the
part of the Hindu astronomers was that they should have