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____ was an ancient Indian mathematician who explained how eclipses happen.

Answer
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Hint:
He was the famous mathematician attributed for discovering the number “zero” and in his book Ganitapada 6 he has described the calculation for the area of a triangle. He flourished under the reign of Chandragupta II of the Gupta Empire.


Complete answer:
Aryabhatta was an ancient mathematician who explained how eclipses happen.
-Aryabhatta was born in 476BC in Kusumapura in Pataliputra (now modern-day Patna) in the state of Bihar.
-The name “Arya” in Sanskrit means great honor or nobility whereas the name “Bhatta” (or Bhatt) is a typical north Indian surname which means “a learned person”. He was also known as Aryabhatta I or Aryabhatta the Elder.
-Aryabhatta was the first to explain how the Lunar Eclipse and the Solar Eclipse occurred. He says that the Moon and planets sparkle by reflected daylight. Prior to it was accepted that the overshadowing was brought about by Rahu and Ketu, yet Aryabhatta clarified shrouds regarding shadows cast by and falling on Earth.
-He said that the lunar overshadowing happens when the moon goes under the Earth's shadow.
-Sun based obscuration happens when the moon passes through the sun and earth and halfway or completely covers the sun.


Additional information:-
-Aryabhatta learned at the University of Nalanda. One of his significant works was Aryabhatiya written in 499 AD. His book Aryabhatiya covers cosmic and numerical hypotheses in which the earth was taken to turn on its axis and the times of the planets were given with respect to the sun.
-Aryabhatta accepted the theory that the moon and planets sparkle by reflected daylight and he likewise accepted that the circles of the planets are ovals. He accurately clarified the reasons for the shrouds of the Sun and the Moon.
-His inducement for the length of the year at 365 days, 6 hours, 12 minutes and, 30 seconds is surprisingly near the genuine worth which is around 365 days and 6 hours. In his book Aryabhatiya, the day was figured starting with one dawn then onto the next, though in his another famous book called Aryabhatta-Siddhanta he took the day starting with one 12 PM then onto the next.


Note:
- The Hindu Calendar that is utilized today depends on Aryabhatta's numerical findings and is followed for the fixing of the 'Panchangam'.
-First satellite and the lunar pit of India, 'Aryabhatta' had been named after him.
-The Aryabhatta Research Institute of Observational Sciences close to Nainital, in the North of India, set up for research in astronomy, stargazing, and barometrical sciences, has been named after him.