Monday, April 13, 2009

The Aryabhatiya of Aryabhata - English

The Aryabhatiya of Aryabhata (CE 476–5500 is one of the most important texts in the history of Indian mathematics and astronomy. He composed this work at the age of 23.

Here are some of his noted achievements that are found in Aryabhatiya:

1. Aryabhata asserted that the Moon and planets shine by reflected sunlight and that the orbits of the planets are ellipses.

2. He also correctly explained the causes of eclipses of the Sun and the Moon.

3. His value for the length of the sidereal year at 365 days 6 hours 12 minutes 30 seconds is only 3 minutes 20 seconds longer than the true value of 365 days 6 hours 9 minutes 10 seconds.

4. He estimated the value of 'Pi' as : "Add four to one hundred, multiply by eight and then add sixty-two thousand. The result is approximately the circumference of a circle of diameter twenty thousand. By this rule the relation of the circumference to diameter is given." In other words, Pi=62832/20000 = 3.1416, correct to four rounded-off decimal places.

5. Aryabhata accurately calculated the Earth's circumference as 24,835 miles, which was only 0.2% smaller than the actual value of 24,902 miles. This approximation remained the most accurate for over a thousand years.

Download Aryabhatiya English Translation

Download Aryabhatiya with Hindi Translation


  1. How can you say that what you are comparing the values are correct and aryabhatta values are has some minor correction. After some years/centuries with new technologies the actual value may be same as aryabhatta values.
    There may be chance that the values may be changed with time also. Like earth circumference, it can change with time. When Aryabhatta calculated that time it was correct, now it may be changed because of that we are seeing some difference with our values.

  2. Madhava,

    This is not a forum for debate or discussion. Nor am I an expert on this subject. The goal of this blog is to provide ebooks of public domain texts related to Hinduism and our heritage.

    There are any number of forums where you could participate in such debates and discussions. You are free to join them for the same.

  3. We should feel proud of Aryabhatta's achievement and strive to carry forward the glorious legacy of creative thinkiung.

  4. Thanks for sharing bro ! God bless you.

  5. plz provide me this book in hindi.

    1. Dev Megh, Aryabhatiya with Hindi translation is available at