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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He then gives an overview of his astronomical findings. Whatever the meaning may be, the passage is of no consequence for the numbers actually dealt with by Aryabhata in this treatise. Tribhuja denotes triangle in general and caturbhuja denotes quadrilateral in general. Ancient Indian Leaps Into Mathematics.

Prior to Aryabhata, Vedic sutras early Hindu scriptures had expounded on geometric relationships for religious purposes such as altar construction and keeping track of calendars. British Museum Press,pp. While some of the verses have a logical flow, some do not, and its unintuitive structure can make it difficult for a casual reader to follow. As applied to the Sanskrit alphabet the varga letters referred to here are those from k to mwhich are arranged in five groups of five letters each.

I see at present no satisfactory solution of the problem.

He mentions proportions of triangles with respect to shadows. At least twelve notable commentaries were written for the Aryabhatiya ranging from Aryabhata’s lifetime c. Paramesvara interprets it as referring to the construction of a triangle of which the three sides are known and of a quadrilateral of which the four sides and one diagonal are known.

There is also a table of sines jyagiven in a single verse. Such neglish would not arise in regard zryabhatiya mathematical matters which had nothing to do with theological tradition. Similarly, it provides methods for breaking down relationships between principal, interest, and time. Dasagitika or the Ten Giti Stanzas.


That is to say, 57, The book aryabbatiya goes on to give an overview of Aryabhata’s astronomical findings.

Has it been six months or longer since you last checked your sump pump? It is a preliminary study based on inadequate material.

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

And yet the very next stanza IV, 10 seems to describe a stationary Earth around which the asterisms revolve. Ya is equal to the sum of na and ma. The words varga and avarga seem to be used in this sense in II, 4. This is a yoga of the Sun and Moon when they are in different ayanashave the same declination, and the sum of their longitudes is degrees. However, all the metrical evidence seems to favor the spelling with one t.

The letters y to h would have the values ofbut since a short a is regarded as inherent in a consonant when no other vowel sign is attached and when the virama is not used, and since short a refers the avarga letters to the place of ten’s, the signs yaetc. The number of revolutions of Jupiter multiplied by 12 are the years of Jupiter beginning with Asvayuja.

Aryabhatiya – Wikipedia

Walter Eugene Clark David Pingree. The commentators include Bhaskara and Brahmagupta among other notables. It happens here that the digits are given in order from right to left, but they may be given in reverse order or in any order which will make the syllables fit into the meter.

Aryabhata gives fairly basic construction definitions such as “[t]he circle is made by turning I am not sure whether the restricted sense of karna limits tribhuja and caturbhuja to the right-angle triangle and to the square and rectangle or whether the general sense of tribhuja and caturbhuja generalizes the meaning of karna to that of one chosen side of a triangle and to that of the diagonal of any quadrilateral. Many commonplaces and many simple processes are taken for granted.


The nine vowels are to be used in two nines of places varga and avarga. The Moon consists of water, the Sun of fire, the Earth of earth, and the Earth’s shadow of darkness.


Sarada Kanta Ganguly translates, “‘[Those] nine [vowels] [should be used] in higher places in a similar manner. It is possible that computation may have been made on a board ruled into columns.

There is no good reason why the thirteen stanzas should not have been named Dasagitika as they are named by Aryabhata himself in stanza C from the ten central stanzas in Giti meter which give the astronomical elements of the system.

University of Chicago Press: Even given a commentary, the logic is explained with a framework that is entirely alien to Western readers. Having paid reverence to Brahman, who is one in causality, as the creator of the universe, but many in his manifestationsthe true deity, the Supreme Spirit, Aryabhata sets forth three things: Madhyajya, 74 Madhyahnat krama, 80 Mando, 60, 61 Mandakarzia, 61 Mandagati, 59 Mandaphala, Mandocca, 52, 58, 60 Mithydjnana, 9, 14, 65, 67 Mma, 63 Mesa, 9, 11, 16, 60, 63, Is it intended merely as a statement of the popular view?

Later writers attack him bitterly on this point. Slow to understate the importance of his own work, Aryabhata concludes the Dasagitika with a note that “[w]hoever knows this Dasagitika Sutra Views Read Edit View history.