Created page with "{{Short description|16th-century Indian astronomer}} {{Infobox person | name = Gaṇeśa Daivajña | birth_date = c. 1507 | birth_place = Nandigrama | occupation = Astronomer, astrologer, and mathematician | years_active = 1520–1554 | notable_works = ''Grahalaghava'' | father = Keshava of Nandigrama }} File:Ganesa area of circle.svg|thumb|Illustration of Ganesa's dissection of a circle into triangle..." |
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'''Gaṇeśa Daivajna''' (born c. 1507, {{floruit}} 1520-1554) was a sixteenth century astronomer, astrologer, and mathematician from western India who wrote books on methods to predict eclipses, planetary conjunctions, positions, and make calculations for calendars. His most major work was the ''Grahalaghava'' which was included ephemeris and calendar calculations. | '''Gaṇeśa Daivajna''' (born c. 1507, {{floruit}} 1520-1554) was a sixteenth century astronomer, astrologer, and mathematician from western India who wrote books on methods to predict eclipses, planetary conjunctions, positions, and make calculations for calendars. His most major work was the ''Grahalaghava'' which was included ephemeris and calendar calculations. | ||
Ganesa was born in [[Nandigrama]] (see also [[Golagrama]]) where his father [[Keshava of Nandigrama|Kesava]] ([[floruit|fl.]] 1496-1507) was a [[Brahmin]] astronomer. His mother's name has been noted as Lakshmi and he spent his entire life at Nandigrama. The location of Nandigrama has been suggested by some as being in Gujarat but more careful study of his work places it in Nandgaon in present day [[Maharashtra]].<ref>{{cite journal |author=Sarma, S.R. |year=2010 |title=Nandigrama of Ganesa Daivajna |journal=Indian Journal of History of Science |volume=45 |issue=4 |pages=569–574}}</ref> He wrote several works including ''Grahalaghava'', ''Siddhantarahasya'', ''Buddhivilāsinī,'' and ''Laghutithicintamani''.<ref>{{Cite book |author=Plofker, Kim |author-link=Kim Plofker |url=http://link.springer.com/10.1007/978-1-4419-9917-7 |title=Biographical Encyclopedia of Astronomers |date=2014 |publisher=Springer |isbn=978-1-4419-9916-0 |editor-last=Hockey |editor-first=Thomas |location=New York |pages=781–782 |language=en |chapter=Ganesa |doi=10.1007/978-1-4419-9917-7 |s2cid=242158697 |editor-last2=Trimble |editor-first2=Virginia |editor-last3=Williams |editor-first3=Thomas R. |editor-last4=Bracher |editor-first4=Katherine |editor-last5=Jarrell |editor-first5=Richard A. |editor-last6=Marché |editor-first6=Jordan D. |editor-last7=Palmeri |editor-first7=JoAnn |editor-last8=Green |editor-first8=Daniel W. E.}}</ref> His work ''Buddhivilāsinī'' (c. 1546<ref>{{cite book |author=Colebrooke, H.T. |url=https://archive.org/details/bub_gb_2Tmjwd73jXwC/page/406/mode/1up |title=Miscellaneous Essays. Volume III |publisher=Trubner and Co |year=1873 |place=London |page=406}}</ref>) includes commentaries on the mathematics of [[Bhāskara II|Bhaskara]]'s ''Lilavati''.<ref>{{Citation |chapter=Gaṇeśa Daivajña's upapattis for some rules in the Līlāvatī |date=2019 |chapter-url=http://link.springer.com/10.1007/978-981-13-6034-3_5 |title=Bhāskara-prabhā |pages=102–114 |editor-last=Ramasubramanian |editor-first=K. |place=Singapore |publisher=Springer Singapore |language=en |doi=10.1007/978-981-13-6034-3_5 |isbn=978-981-13-6033-6 |access-date=2022-10-14 |last=Ramakalyani |first=K. |s2cid=146066627 |editor2-last=Hayashi |editor2-first=Takao |editor2-link=Hayashi Takao |editor3-last=Montelle |editor3-first=Clemency |editor3-link=Clemency Montelle|chapter-url-access=subscription }}</ref> One of his demonstrations is of the area of a circle calculated by dissection of the circle into a regular polygon. He started with a polygon with 12 sides and doubled it through 24, 48, 96, 192, to 384 and came up with an approximation for [[pi]] as 3927/1250.<ref>{{cite book |author=Joseph, George Gheverghese |title=Indian Mathematics: Engaging With The World From Ancient To Modern Times |publisher=World Scientific |year=2016 |page=295}}</ref> His book ''Muhūrtadipikā'' includes a commentary on his father Kesava's work ''Muhūrtatattva''. Ganesa's grandfather Kamalakara was also an astrologer as were his brothers Ananta and Rama. Works by Kesava include Grahakautuka (1496) on the calculation of eclipses, Jatakapaddhati for the production of horoscopes, and the Tajikapaddhati, which covered Islamic thoughts on astrology.<ref>{{cite book|author=Pingree, David| year=1973| chapter=Kesava| title=Dictionary of Scientific Biography. Volume 7| editor=Gillispie, C.C.| place= New York| publisher=Charles Scribner’s Sons| pages=314–316}}</ref> | Ganesa was born in [[Nandigrama]] (see also [[Golagrama]]) where his father [[Keshava of Nandigrama|Kesava]] ([[floruit|fl.]] 1496-1507) was a [[Brahmin]] astronomer. His mother's name has been noted as Lakshmi and he spent his entire life at Nandigrama. The location of Nandigrama has been suggested by some as being in Gujarat but more careful study of his work places it in Nandgaon in present day [[Maharashtra]].<ref>{{cite journal |author=Sarma, S.R. |year=2010 |title=Nandigrama of Ganesa Daivajna |journal=Indian Journal of History of Science |volume=45 |issue=4 |pages=569–574}}</ref> He wrote several works including ''Grahalaghava'', ''Siddhantarahasya'', ''Buddhivilāsinī,'' and ''Laghutithicintamani''.<ref>{{Cite book |author=Plofker, Kim |author-link=Kim Plofker |url=http://link.springer.com/10.1007/978-1-4419-9917-7 |title=Biographical Encyclopedia of Astronomers |date=2014 |publisher=Springer |isbn=978-1-4419-9916-0 |editor-last=Hockey |editor-first=Thomas |location=New York |pages=781–782 |language=en |chapter=Ganesa |doi=10.1007/978-1-4419-9917-7 |s2cid=242158697 |editor-last2=Trimble |editor-first2=Virginia |editor-last3=Williams |editor-first3=Thomas R. |editor-last4=Bracher |editor-first4=Katherine |editor-last5=Jarrell |editor-first5=Richard A. |editor-last6=Marché |editor-first6=Jordan D. |editor-last7=Palmeri |editor-first7=JoAnn |editor-last8=Green |editor-first8=Daniel W. E.}}</ref> His work ''Buddhivilāsinī'' (c. 1546<ref>{{cite book |author=Colebrooke, H.T. |url=https://archive.org/details/bub_gb_2Tmjwd73jXwC/page/406/mode/1up |title=Miscellaneous Essays. Volume III |publisher=Trubner and Co |year=1873 |place=London |page=406}}</ref>) includes commentaries on the mathematics of [[Bhāskara II|Bhaskara]]'s ''Lilavati''.<ref>{{Citation |chapter=Gaṇeśa Daivajña's upapattis for some rules in the Līlāvatī |date=2019 |chapter-url=http://link.springer.com/10.1007/978-981-13-6034-3_5 |title=Bhāskara-prabhā |pages=102–114 |editor-last=Ramasubramanian |editor-first=K. |place=Singapore |publisher=Springer Singapore |language=en |doi=10.1007/978-981-13-6034-3_5 |isbn=978-981-13-6033-6 |access-date=2022-10-14 |last=Ramakalyani |first=K. |s2cid=146066627 |editor2-last=Hayashi |editor2-first=Takao |editor2-link=Hayashi Takao |editor3-last=Montelle |editor3-first=Clemency |editor3-link=Clemency Montelle|chapter-url-access=subscription |archive-url=https://web.archive.org/web/20261009052804/http://link.springer.com/10.1007/978-981-13-6034-3_5 |archive-date=2026-10-09 |url-status=live }}</ref> One of his demonstrations is of the area of a circle calculated by dissection of the circle into a regular polygon. He started with a polygon with 12 sides and doubled it through 24, 48, 96, 192, to 384 and came up with an approximation for [[pi]] as 3927/1250.<ref>{{cite book |author=Joseph, George Gheverghese |title=Indian Mathematics: Engaging With The World From Ancient To Modern Times |publisher=World Scientific |year=2016 |page=295}}</ref> His book ''Muhūrtadipikā'' includes a commentary on his father Kesava's work ''Muhūrtatattva''. Ganesa's grandfather Kamalakara was also an astrologer as were his brothers Ananta and Rama. Works by Kesava include Grahakautuka (1496) on the calculation of eclipses, Jatakapaddhati for the production of horoscopes, and the Tajikapaddhati, which covered Islamic thoughts on astrology.<ref>{{cite book|author=Pingree, David| year=1973| chapter=Kesava| title=Dictionary of Scientific Biography. Volume 7| editor=Gillispie, C.C.| place= New York| publisher=Charles Scribner’s Sons| pages=314–316}}</ref> | ||
==See also== | ==See also== | ||
Revision as of 10:58, 9 October 2026
Gaṇeśa Daivajña | |
|---|---|
| Born | c. 1507 |
| Occupation | Astronomer, astrologer, and mathematician |
| Years active | 1520–1554 |
Notable work | Grahalaghava |
| Parent(s) |
|
Gaṇeśa Daivajna (born c. 1507, fl. 1520-1554) was a sixteenth century astronomer, astrologer, and mathematician from western India who wrote books on methods to predict eclipses, planetary conjunctions, positions, and make calculations for calendars. His most major work was the Grahalaghava which was included ephemeris and calendar calculations.
Ganesa was born in Nandigrama (see also Golagrama) where his father Kesava (fl. 1496-1507) was a Brahmin astronomer. His mother's name has been noted as Lakshmi and he spent his entire life at Nandigrama. The location of Nandigrama has been suggested by some as being in Gujarat but more careful study of his work places it in Nandgaon in present day Maharashtra.[1] He wrote several works including Grahalaghava, Siddhantarahasya, Buddhivilāsinī, and Laghutithicintamani.[2] His work Buddhivilāsinī (c. 1546[3]) includes commentaries on the mathematics of Bhaskara's Lilavati.[4] One of his demonstrations is of the area of a circle calculated by dissection of the circle into a regular polygon. He started with a polygon with 12 sides and doubled it through 24, 48, 96, 192, to 384 and came up with an approximation for pi as 3927/1250.[5] His book Muhūrtadipikā includes a commentary on his father Kesava's work Muhūrtatattva. Ganesa's grandfather Kamalakara was also an astrologer as were his brothers Ananta and Rama. Works by Kesava include Grahakautuka (1496) on the calculation of eclipses, Jatakapaddhati for the production of horoscopes, and the Tajikapaddhati, which covered Islamic thoughts on astrology.[6]
See also
References
- ↑ Sarma, S.R. (2010). "Nandigrama of Ganesa Daivajna". Indian Journal of History of Science. 45 (4): 569–574.
- ↑ Plofker, Kim (2014). "Ganesa". In Hockey, Thomas; Trimble, Virginia; Williams, Thomas R.; Bracher, Katherine; Jarrell, Richard A.; Marché, Jordan D.; Palmeri, JoAnn; Green, Daniel W. E. (eds.). Biographical Encyclopedia of Astronomers. New York: Springer. pp. 781–782. doi:10.1007/978-1-4419-9917-7. ISBN 978-1-4419-9916-0. S2CID 242158697.
- ↑ Colebrooke, H.T. (1873). Miscellaneous Essays. Volume III. London: Trubner and Co. p. 406.
- ↑ Ramakalyani, K. (2019), "Gaṇeśa Daivajña's upapattis for some rules in the Līlāvatī", in Ramasubramanian, K.; Hayashi, Takao; Montelle, Clemency (eds.), Bhāskara-prabhā, Singapore: Springer Singapore, pp. 102–114, doi:10.1007/978-981-13-6034-3_5, ISBN 978-981-13-6033-6, S2CID 146066627, archived from the original on 2026-10-09, retrieved 2022-10-14
- ↑ Joseph, George Gheverghese (2016). Indian Mathematics: Engaging With The World From Ancient To Modern Times. World Scientific. p. 295.
- ↑ Pingree, David (1973). "Kesava". In Gillispie, C.C. (ed.). Dictionary of Scientific Biography. Volume 7. New York: Charles Scribner’s Sons. pp. 314–316.