Aryabhatiya (IAST: Āryabhaṭīya) or Aryabhatiyam (Āryabhaṭīyaṃ), a Sanskrit astronomical . External links[edit]. The Āryabhaṭīya by Āryabhaṭa (translated into English by Walter Eugene Clark, ) hosted online by the Internet Archive . We now present a Kaṭapayādi code for the English alphabet: An English Kaṭ apayādi . References. 1. S. Kak, Aryabhata and Aryabhatiya. Aryabhatiya of Aryabhata, English In Kern published at Leiden a text called the Āryabhatīya which claims to be the work.

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Paramesvara, who follows the normal tradition of Indian astronomy and believes that the Earth is stationary, tries to prove that here and in IV, 9 which he quotes Aryabhata does not really mean to say that the Earth rotates.

Aryabhatiya of Aryabhata, English translation. The avarga or “non-square” places are the second, fourth, sixth, etc. The result is approximately the circumference of a circle of diameter twenty thousand.

The Aryabhatiya of Aryabhata

The east and west line and the north and south line and the perpendicular from zenith to nadir intersect in the place where the observer is. Needless to say, the explanation is quite cryptic.

Aryabhatiya begins with an introduction called the “Dasageethika” emglish “Ten Stanzas. Compare the figures for the number of revolutions of the planets given by Brahmagupta 1, which differ in detail and include figures for the revolutions of the apsides and nodes. For this I can find no support, and therefore follow the commentator Paramesvara in translating “the true deity,” God in the highest sense of the word, aryabhagiya referring to Prajapati, Pitamaha, Svayambhu, the lower individuahzed Brahman, who is so called as being the creator of the universe and above all the other gods.

It must be left to the mathematicians to decide which of the two rules is earlier. Extremely notable in the Aryabhatiya is Aryabhata’s estimation of p: Aryabhata’s formulas for finding these presuppose knowledge of the quadratic equation.


Aryabhatiya With English Commentary : Free Download, Borrow, and Streaming : Internet Archive

Charles Scribner and Sons: Revolutions of Sun, Moon, Earth, and Planets in a yuga. British Museum Press,pp. This is a leap of faith arybhatiya Greek mathematicians were much slower to take. The Aryabhatiya was an extremely influential work as is exhibited by the fact that most notable Indian mathematicians after Aryabhata wrote commentaries on it. Fleet suggests as an alternate interpretation the emendation of va to hau.

Walter Eugene Clark David Pingree. The silence of Brahmagupta here may merely indicate that eenglish found nothing to criticize or thought criticism unnecessary. It is, of course, possible that at a later period some few stanzas may have been changed in wording or even supplanted by other stanzas. However, as shown by Thibaut [10] and Kharegat, [11] there is a close connection between Aryabhata and the old Suryasiddhanta. One side of the triangle is taken as the karna.

As Paramesvara remarks, the use of the word kam seems to indicate engllsh Aryabhata based his work on the old Pitamahasiddhanta. It is probable that Aryabhata was not inventing a numerical notation to be used in calculation but was devising a system by means of which he might express large, unwieldy numbers in verse in a very brief form.

Slow to understate the importance of his own work, Aryabhata concludes the Dasagitika with a note that “[w]hoever knows this Dasagitika Sutra These three sections contain exactly stanzas. It is impossible as a translation of the Sanskrit. Dasagitika or the Ten Giti Stanzas.

He then gives the names of ascending powers of ten up to 1 billion. In addition, some versions cite a few colophons added at the end, extolling the virtues of the work, etc. This page was last edited on 2 Septemberat The translation must remain uncertain until further evidence bearing on the meaning of antya can be produced. His value for the length of the sidereal year at days 6 hours 12 minutes 30 seconds is only 3 minutes 20 seconds longer than the modern scientific value of days 6 hours 9 minutes engllsh seconds.


The nonagesimal or central-ecliptic point is the point on the ecliptic which is 90 degrees from the point of the ecliptic which is on the horizon.

From Aryabhata’s usage it is clear that the letters k to m have the values of Ganguly finds justification for this interpretation p. This aryabhattiya multiplied by its own square root is the exact volume of a sphere Aryabhata In fact, some later commentaries on the Aryabhatiya by notable mathematicians attempted to reconcile Aryabhata’s findings with their belief in a stationary Earth.


Here and elsewhere in the Dasagitika words are used in their stem form without declensional endings. It is doubtful whether the word avarga can be so supplied in the compound.

The meanings of certain parts of the work are still disputed to this day. There is no good reason for refusing to take them in the same sense here. His effort to bring Aryabhata into agreement with the views of most other Indian astronomers seems to be misguided ingenuity.

If the words can mean at the end of a group,” and if nava can be taken with what precedes, Rodet’s interpretation is acceptable. This is the section of the Aryabhatiya that is most highly criticized by later Indian commentators since it delves into the rotation of the Earth in depth. In view of the fact that the plural subject must carry over into this clause Fleet’s interpretation seems to be impossible. By using this site, you agree to the Terms of Use and Privacy Policy.