Aryabhata (Sanskrit: आर्यभट, IAST: Āryabhaṭa) or Aryabhata I (– CE) was the first of Create a book · Download as PDF · Printable version. terney.info: The Aryabhatiya Of Aryabhata terney.info: Enter Name Of The DOWNLOAD OPTIONS. download 1 file · ABBYY GZ download. Aryabhatiya of Aryabhata: 3 volumes. by: K. V. Sarma and K. S. Shukla. Publication 4 Favorites. DOWNLOAD OPTIONS. download 3 files.
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It is written in the very terse style typical of sutra literature, in which each line is an aid to memory for a complex system.
Thus, the explication of meaning is due to commentators. There is also a table of sines jya , given in a single verse. The duration of the planetary revolutions during a mahayuga is given as 4. Kalakriyapada 25 verses : different units of time and a method for determining the positions of planets for a given day, calculations concerning the intercalary month adhikamAsa , kShaya-tithis, and a seven-day week with names for the days of week.
In addition, some versions cite a few colophons added at the end, extolling the virtues of the work, etc. The Aryabhatiya presented a number of innovations in mathematics and astronomy in verse form, which were influential for many centuries.
The extreme brevity of the text was elaborated in commentaries by his disciple Bhaskara I Bhashya, c. The Aryabhatiya is also remarkable for its description of relativity of motion.
He expressed this relativity thus: "Just as a man in a boat moving forward sees the stationary objects on the shore as moving backward, just so are the stationary stars seen by the people on earth as moving exactly towards the west. While he did not use a symbol for zero , the French mathematician Georges Ifrah argues that knowledge of zero was implicit in Aryabhata's place-value system as a place holder for the powers of ten with null coefficients.
Continuing the Sanskritic tradition from Vedic times , he used letters of the alphabet to denote numbers, expressing quantities, such as the table of sines in a mnemonic form. By this rule the circumference of a circle with a diameter of 20, can be approached. For simplicity, people started calling it jya. When Arabic writers translated his works from Sanskrit into Arabic, they referred it as jiba.
However, in Arabic writings, vowels are omitted, and it was abbreviated as jb. Later writers substituted it with jaib, meaning "pocket" or "fold in a garment ". In Arabic, jiba is a meaningless word.