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Aryabhata ( ISO: Āryabhaṭa) or Aryabhata I [3] [4] (476–550 CE) [5] [6] was the first of the major mathematician-astronomers from the classical age of Indian mathematics and Indian astronomy. His works include the Āryabhaṭīya (which mentions that in 3600 Kali Yuga , 499 CE, he was 23 years old) [ 7 ] and the Arya- siddhanta .
Following the Ganitapada, the next section is the "Kalakriya" or "The Reckoning of Time." In it, Aryabhata divides up days, months, and years according to the movement of celestial bodies. He divides up history astronomically; it is from this exposition that a date of AD 499 has been calculated for the compilation of the Aryabhatiya. [4]
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In this measure, the circumference of a circle is 360° = (60 × 360) minutes = 21600 minutes. The radius of the circle, the measure of whose circumference is 21600 minutes, is 21600 / 2π minutes. Computing this using the value π = 3.1416 known to Aryabhata one gets the radius of the circle as 3438 minutes approximately. Āryabhaṭa's sine ...
Aryabhata used this number system for representing both small and large numbers in his mathematical and astronomical calculations. This system can even be used to represent fractions and mixed fractions. For example, nga is 1 ⁄ 5, nja is 1 ⁄ 10 and jhardam (jha=9; its half) = 4 + 1 ⁄ 2. [further explanation needed]
Commentary on Aryabhata's Aryabhatiya. This commentary is known by various titles including Aryabhata-prakasha, Bhata-prakasha, Prakasha, Aryabhata-prakashika, Bhata-prakashika, and Prakashika. [7] Yallaya added further notes to this text, and Parameshvara (c. 1431) used it as a source for writing a new commentary on Aryabhatiya. [8]
Haridatta dispensed with the numerical symbolism used by Aryabhata and replaced it with the more flexible Katapayadi system. In this system, letters are used to represent digits and these letters are then used to invent meaningful words and sentences to denote specific numbers. These words and sentences could be remembered with much less effort.
Aryabhata (also Aryabhatta and Aryabhata I; 476 – 550) was an Indian mathematician and astronomer and author of the Aryabhatiya. Aryabhata may also refer to: Mathematics. Aryabhata algorithm; Aryabhata equation; Āryabhaṭa numeration; Āryabhaṭa's sine table; Others. Aryabhata (satellite), the first satellite of India; Aryabhata (crater ...