à Ârëpati ( â 1066), also transliterated as Shri-pati, was an Indian astronomer, astrologer and mathematician. His major works include Dhëkotida-karana (1039), a work of twenty verses on solar and lunar eclipses; Dhruva-mÃÂnasa (written in 1056), a work of 105 verses on calculating planetary longitudes, eclipses and planetary transits; SiddhÃÂnta-à Âekhara a major work on astronomy in 19 chapters; and Gaá¹Âita-tilaka, an incomplete arithmetical treatise in 125 verses based on a work by Shridhara.
à Ârëpati was born in Rohinikhand in present-day Maharashtra, and lived during (âÂÂ1066. His father was Naga-deva (sometimes written as Namadeva) and his grandfather was Kesava.
à Ârëpati followed the teachings of Lalla, and wrote on astrology, astronomy and mathematics. He was mainly focused on astrology, and his work on astronomy was aimed at supporting his research on astrology; his work on mathematics, in turn, was aimed at supporting his work on astronomy, such as the study of spheres.
à Ârëpati had introduced one of the main methods of house division in Jyotiá¹£a, known as à Ârëpati BhÃÂva system.
Dhëkotida-karana (1039) is 20-verse text that discusses solar and lunar eclipses.
Commentaries on this text include:
Dhruva-mÃÂnasa (1056) is a 105-verse text on calculating planetary longitudes, eclipses and planetary transits.
SiddhÃÂnta-Ã Âekhara (Siddhanta-shekhara) is a major work on astronomy in 19 chapters. Some of the notable chapters include:
The work also contains the rules for the solution of simultaneous indeterminate equations of the first degree; these rules are similar to those given by Brahmagupta.
Gaá¹Âita-tilaka is an incomplete, 125-verse treatise on arithmetics, based on a work by Shridhara. Its lost portion possibly consisted of the verses 19-55 of Chapter 13 of SiddhÃÂnta-à Âekhara.
Jyotiá¹£a-ratna-mÃÂlà(Jyotisha-ratna-mala) is a 20-chapter text on astrology, based on the Jyotisha-ratna-kosha of Lalla. à Ârëpati wrote a commentary on this work in Marathi language: this is one of the oldest surviving Marathi-language works.
Commentaries on this text include:
JÃÂtaka-paddhati, also known as à Ârëpati-paddhatiḥ (Shripati-paddhati), is an 8-chapter text on astrology.
According to David Pingree, the text is "one of the fundamental textbooks for later Indian genethlialogy, contributing an impressive elaboration to the computation of the strengths of the planets and astrological places. It was enormously popular, as the large number of manuscripts, commentaries, and imitations attests."
Commentaries on this text include:
Achyutha Pisharadi wrote Hora-sarochchaya, a 7-chapter adaptation of JÃÂtaka-paddhati.
Daivajña-vallabha, a work on astrology, concludes with excerpts from several works of Varaha-mihira. Some writers attribute this work to Varaha-mihira, but according to David Pingree, it is more likely to be à Ârëpati's work. Narayana (Narayana Pandita?) wrote Subodhini, a Hindi-language version of Daivajña-vallabha (1905).
The Manasagari or Janma-patrika-paddhati attributed to Kalyana Rishi (fl. after 1629) includes extensive quotations and adaptations of content from à Ârëpati's Ratnamala and Shripati-paddhati. also he had given the most useful method of division