Parameśvara - Revision history

Admin at 04:13, 16 December 2022

2022-12-16T04:13:17Z

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 == References ==
 <references />
 [[Category:Mathematics]]
-[[Category:Indian Mathematicians]]
+[[Category:Navigational boxes| ]]
 [[Category:Organic Articles English]]
-[[Category:Vigyan Ready]]
+[[Category:Pages with script errors]]

Indicwiki: 20 revisions imported from :alpha:Parameśvara

2022-12-16T04:12:06Z

20 revisions imported from alpha:Parameśvara

← Older revision	Revision as of 09:42, 16 December 2022
(No difference)

alpha>Ramamurthy S: Category added

2022-12-15T17:53:24Z

Category added

← Older revision		Revision as of 23:23, 15 December 2022
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	[[Category:Mathematics]]		[[Category:Mathematics]]
	[[Category:Indian Mathematicians]]		[[Category:Indian Mathematicians]]
			[[Category:Organic Articles English]]
			[[Category:Vigyan Ready]]

alpha>Ramamurthy S: internal links updated

2022-11-30T06:08:56Z

internal links updated

← Older revision		Revision as of 11:38, 30 November 2022
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	Parameśvara (1380-1460 CE) <ref>{{Cite web\|title=Parameshvara_Nambudiri\|url=https://en.wikipedia.org/wiki/Parameshvara_Nambudiri}}</ref>was a major Indian mathematician and astronomer of the Kerala school of astronomy and mathematics founded by [[~~Madhava\|~~Mādhava]] of Saṅgamagrāma. Parameśvara was born into a Namputiri Brahmana family who were astrologers and astronomers. He played an important part in the remarkable developments in Mathematics which took place in Kerala in the late 14th and early part of the 15th century.<ref>{{Cite web\|title=Ancient Indian Mathematicians\|url=https://udayabhaaskarbulusu.wordpress.com/ancient-indian-mathematicians/}}</ref> Āryabhaṭa gave a rule for determining the height of a pole from the lengths of its shadows in the Āryabhaṭīya . Parameśvara gave several illustrative examples of the method in his commentary on the Āryabhaṭīya .		Parameśvara (1380-1460 CE) <ref>{{Cite web\|title=Parameshvara_Nambudiri\|url=https://en.wikipedia.org/wiki/Parameshvara_Nambudiri}}</ref>was a major Indian mathematician and astronomer of the Kerala school of astronomy and mathematics founded by [[Mādhava]] of Saṅgamagrāma. Parameśvara was born into a Namputiri Brahmana family who were astrologers and astronomers. He played an important part in the remarkable developments in Mathematics which took place in Kerala in the late 14th and early part of the 15th century.<ref>{{Cite web\|title=Ancient Indian Mathematicians\|url=https://udayabhaaskarbulusu.wordpress.com/ancient-indian-mathematicians/}}</ref> Āryabhaṭa gave a rule for determining the height of a pole from the lengths of its shadows in the Āryabhaṭīya . Parameśvara gave several illustrative examples of the method in his commentary on the Āryabhaṭīya .

	Parameśvara is known to have been a pupil of Narayana Pandit, and also Madhava of Sangamagramma, who is thought to have been a significant influence.<ref>{{Cite web\|title=Mathematicians of Kerala\|url=https://hindupost.in/history/mathematicians-of-kerala-part-ii/}}</ref>		Parameśvara is known to have been a pupil of Narayana Pandit, and also Madhava of Sangamagramma, who is thought to have been a significant influence.<ref>{{Cite web\|title=Mathematicians of Kerala\|url=https://hindupost.in/history/mathematicians-of-kerala-part-ii/}}</ref>

	Parameśvara proposed several corrections to the astronomical parameters which had been in use since the times of [[~~Aryabhata\|~~Āryabhaṭa]] based on his eclipse observations. The computational scheme based on the revised set of parameters is known as Dṛk system. Dṛggaṇita is the text composed based on this system.		Parameśvara proposed several corrections to the astronomical parameters which had been in use since the times of [[Āryabhaṭa]] based on his eclipse observations. The computational scheme based on the revised set of parameters is known as Dṛk system. Dṛggaṇita is the text composed based on this system.

	The expression for the radius of the circle in which a cyclic quadrilateral is inscribed, given in terms of the sides of the quadrilateral, is usually attributed to Lhuilier in 1782. However Paramesvara described the rule 350 years earlier. If the sides of the cyclic quadrilateral are a, b, c and d then the radius r of the circumscribed circle was given by Parameśvara as:		The expression for the radius of the circle in which a cyclic quadrilateral is inscribed, given in terms of the sides of the quadrilateral, is usually attributed to Lhuilier in 1782. However Paramesvara described the rule 350 years earlier. If the sides of the cyclic quadrilateral are a, b, c and d then the radius r of the circumscribed circle was given by Parameśvara as:
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	His works are mentioned below.		His works are mentioned below.

	* ''Bhaṭadīpikā'' – Commentary on Āryabhaṭīya of [[~~Aryabhata~~\|Āryabhaṭa I]]		* ''Bhaṭadīpikā'' – Commentary on Āryabhaṭīya of [[Āryabhaṭa\|Āryabhaṭa I]]
	* ''Karmadīpikā'' <ref>{{Cite web\|title=Parameśvara\|url=https://mathshistory.st-andrews.ac.uk/Biographies/Paramesvara/}}</ref>– Commentary on ''Mahābhāskarīya'' of [[~~Bhaskara I\|~~Bhāskara I]]		* ''Karmadīpikā'' <ref>{{Cite web\|title=Parameśvara\|url=https://mathshistory.st-andrews.ac.uk/Biographies/Paramesvara/}}</ref>– Commentary on ''Mahābhāskarīya'' of [[Bhāskara I]]
	* ''Paramesvarī'' – Commentary on ''Laghubhāskarīya'' of Bhāskara I		* ''Paramesvarī'' – Commentary on ''Laghubhāskarīya'' of Bhāskara I
	* ''Sidhantadīpikā'' – Commentary on ''Mahābhāskarīyabhāshya'' of Govindasvāmi		* ''Sidhantadīpikā'' – Commentary on ''Mahābhāskarīyabhāshya'' of Govindasvāmi

alpha>Abhishek: Abhishek moved page Paramesvara to Parameśvara without leaving a redirect

2022-11-28T09:42:53Z

Abhishek moved page Paramesvara to Parameśvara without leaving a redirect

← Older revision	Revision as of 15:12, 28 November 2022
(No difference)

alpha>Ramamurthy S: Citation added

2022-11-18T13:09:39Z

Citation added

← Older revision		Revision as of 18:39, 18 November 2022
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	Parameśvara (1380-1460 CE) <ref>{{Cite web\|title=Parameshvara_Nambudiri\|url=https://en.wikipedia.org/wiki/Parameshvara_Nambudiri}}</ref>was a major Indian mathematician and astronomer of the Kerala school of astronomy and mathematics founded by [[Madhava\|Mādhava]] of Saṅgamagrāma. Parameśvara was born into a Namputiri Brahmana family who were astrologers and astronomers. He played an important part in the remarkable developments in Mathematics which took place in Kerala in the late 14th and early part of the 15th century.<ref>{{Cite web\|title=Ancient Indian Mathematicians\|url=https://udayabhaaskarbulusu.wordpress.com/ancient-indian-mathematicians/}}</ref>		Parameśvara (1380-1460 CE) <ref>{{Cite web\|title=Parameshvara_Nambudiri\|url=https://en.wikipedia.org/wiki/Parameshvara_Nambudiri}}</ref>was a major Indian mathematician and astronomer of the Kerala school of astronomy and mathematics founded by [[Madhava\|Mādhava]] of Saṅgamagrāma. Parameśvara was born into a Namputiri Brahmana family who were astrologers and astronomers. He played an important part in the remarkable developments in Mathematics which took place in Kerala in the late 14th and early part of the 15th century.<ref>{{Cite web\|title=Ancient Indian Mathematicians\|url=https://udayabhaaskarbulusu.wordpress.com/ancient-indian-mathematicians/}}</ref> Āryabhaṭa gave a rule for determining the height of a pole from the lengths of its shadows in the Āryabhaṭīya . Parameśvara gave several illustrative examples of the method in his commentary on the Āryabhaṭīya .

			Parameśvara is known to have been a pupil of Narayana Pandit, and also Madhava of Sangamagramma, who is thought to have been a significant influence.<ref>{{Cite web\|title=Mathematicians of Kerala\|url=https://hindupost.in/history/mathematicians-of-kerala-part-ii/}}</ref>

	Parameśvara proposed several corrections to the astronomical parameters which had been in use since the times of [[Aryabhata\|Āryabhaṭa]] based on his eclipse observations. The computational scheme based on the revised set of parameters is known as Dṛk system. Dṛggaṇita is the text composed based on this system.		Parameśvara proposed several corrections to the astronomical parameters which had been in use since the times of [[Aryabhata\|Āryabhaṭa]] based on his eclipse observations. The computational scheme based on the revised set of parameters is known as Dṛk system. Dṛggaṇita is the text composed based on this system.

			The expression for the radius of the circle in which a cyclic quadrilateral is inscribed, given in terms of the sides of the quadrilateral, is usually attributed to Lhuilier in 1782. However Paramesvara described the rule 350 years earlier. If the sides of the cyclic quadrilateral are a, b, c and d then the radius r of the circumscribed circle was given by Parameśvara as:

			r<sup>2</sup> = x/y where

			x = (ab + cd) (ac + bd) (ad + bc)

			and y = (a + b + c – d) (b + c + d – a) (c + d + a – b) (d + a + b – c)

	His works are mentioned below.		His works are mentioned below.

alpha>Ramamurthy S: Citation added

2022-11-18T12:49:11Z

Citation added

← Older revision		Revision as of 18:19, 18 November 2022
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	Parameśvara (1380-1460 CE) <ref>{{Cite web\|title=Parameshvara_Nambudiri\|url=https://en.wikipedia.org/wiki/Parameshvara_Nambudiri}}</ref>was a major Indian mathematician and astronomer of the Kerala school of astronomy and mathematics founded by [[Madhava\|Mādhava]] of Saṅgamagrāma. Parameśvara proposed several corrections to the astronomical parameters which had been in use since the times of [[Aryabhata\|Āryabhaṭa]] based on his eclipse observations. The computational scheme based on the revised set of parameters is known as Dṛk system. Dṛggaṇita is the text composed based on this system.		Parameśvara (1380-1460 CE) <ref>{{Cite web\|title=Parameshvara_Nambudiri\|url=https://en.wikipedia.org/wiki/Parameshvara_Nambudiri}}</ref>was a major Indian mathematician and astronomer of the Kerala school of astronomy and mathematics founded by [[Madhava\|Mādhava]] of Saṅgamagrāma. Parameśvara was born into a Namputiri Brahmana family who were astrologers and astronomers. He played an important part in the remarkable developments in Mathematics which took place in Kerala in the late 14th and early part of the 15th century.<ref>{{Cite web\|title=Ancient Indian Mathematicians\|url=https://udayabhaaskarbulusu.wordpress.com/ancient-indian-mathematicians/}}</ref>

			Parameśvara proposed several corrections to the astronomical parameters which had been in use since the times of [[Aryabhata\|Āryabhaṭa]] based on his eclipse observations. The computational scheme based on the revised set of parameters is known as Dṛk system. Dṛggaṇita is the text composed based on this system.

	His works are mentioned below.		His works are mentioned below.

alpha>Ramamurthy S at 13:43, 14 November 2022

2022-11-14T13:43:17Z

← Older revision		Revision as of 19:13, 14 November 2022
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	Parameśvara (1380-1460 CE) <ref>{{Cite web\|title=Parameshvara_Nambudiri\|url=https://en.wikipedia.org/wiki/Parameshvara_Nambudiri}}</ref>was a major Indian mathematician and astronomer of the Kerala school of astronomy and mathematics founded by [[Madhava\|Mādhava]] of Saṅgamagrāma. Parameśvara proposed several corrections to the astronomical parameters which had been in use since the times of [[Aryabhata\|Āryabhaṭa]] based on his eclipse observations. The computational scheme based on the revised set of parameters is known as Dṛk system. Dṛggaṇita is the text composed based on this system.1		Parameśvara (1380-1460 CE) <ref>{{Cite web\|title=Parameshvara_Nambudiri\|url=https://en.wikipedia.org/wiki/Parameshvara_Nambudiri}}</ref>was a major Indian mathematician and astronomer of the Kerala school of astronomy and mathematics founded by [[Madhava\|Mādhava]] of Saṅgamagrāma. Parameśvara proposed several corrections to the astronomical parameters which had been in use since the times of [[Aryabhata\|Āryabhaṭa]] based on his eclipse observations. The computational scheme based on the revised set of parameters is known as Dṛk system. Dṛggaṇita is the text composed based on this system.

	His works are mentioned below.		His works are mentioned below.

alpha>Ramamurthy S at 13:42, 14 November 2022

2022-11-14T13:42:57Z

← Older revision		Revision as of 19:12, 14 November 2022
Line 1:		Line 1:
	Parameśvara (1380-1460 CE) <ref>{{Cite web\|title=Parameshvara_Nambudiri\|url=https://en.wikipedia.org/wiki/Parameshvara_Nambudiri}}</ref>was a major Indian mathematician and astronomer of the Kerala school of astronomy and mathematics founded by [[Madhava\|Mādhava]] of Saṅgamagrāma. Parameśvara proposed several corrections to the astronomical parameters which had been in use since the times of [[Aryabhata\|Āryabhaṭa]] based on his eclipse observations. The computational scheme based on the revised set of parameters is known as Dṛk system. Dṛggaṇita is the text composed based on this system.		Parameśvara (1380-1460 CE) <ref>{{Cite web\|title=Parameshvara_Nambudiri\|url=https://en.wikipedia.org/wiki/Parameshvara_Nambudiri}}</ref>was a major Indian mathematician and astronomer of the Kerala school of astronomy and mathematics founded by [[Madhava\|Mādhava]] of Saṅgamagrāma. Parameśvara proposed several corrections to the astronomical parameters which had been in use since the times of [[Aryabhata\|Āryabhaṭa]] based on his eclipse observations. The computational scheme based on the revised set of parameters is known as Dṛk system. Dṛggaṇita is the text composed based on this system.1

	His works are mentioned below.		His works are mentioned below.

alpha>Ramamurthy S: /* See Also */

2022-11-14T10:11:47Z

← Older revision		Revision as of 15:41, 14 November 2022
Line 1:		Line 1:
	Parameśvara (1380-1460 CE) <ref>{{Cite web\|title=Parameshvara_Nambudiri\|url=https://en.wikipedia.org/wiki/Parameshvara_Nambudiri}}</ref>was a major Indian mathematician and astronomer of the Kerala school of astronomy and mathematics founded by [[Madhava\|Mādhava]] of Saṅgamagrāma. His works are mentioned below.		Parameśvara (1380-1460 CE) <ref>{{Cite web\|title=Parameshvara_Nambudiri\|url=https://en.wikipedia.org/wiki/Parameshvara_Nambudiri}}</ref>was a major Indian mathematician and astronomer of the Kerala school of astronomy and mathematics founded by [[Madhava\|Mādhava]] of Saṅgamagrāma. Parameśvara proposed several corrections to the astronomical parameters which had been in use since the times of [[Aryabhata\|Āryabhaṭa]] based on his eclipse observations. The computational scheme based on the revised set of parameters is known as Dṛk system. Dṛggaṇita is the text composed based on this system.

			His works are mentioned below.

	* ''Bhaṭadīpikā'' – Commentary on Āryabhaṭīya of [[Aryabhata\|Āryabhaṭa I]]		* ''Bhaṭadīpikā'' – Commentary on Āryabhaṭīya of [[Aryabhata\|Āryabhaṭa I]]
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	* ''Sidhantadīpikā'' – Commentary on ''Mahābhāskarīyabhāshya'' of Govindasvāmi		* ''Sidhantadīpikā'' – Commentary on ''Mahābhāskarīyabhāshya'' of Govindasvāmi
	* ''Vivarana'' – Commentary on [[Surya Siddhānta]] and [[Līlāvatī]]		* ''Vivarana'' – Commentary on [[Surya Siddhānta]] and [[Līlāvatī]]
	* ''Dṛggaṇita'' – Description of the ~~Drig~~ system (composed in 1431 CE)		* ''Dṛggaṇita'' – Description of the Dṛk system (composed in 1431 CE)
	* ''Goladīpikā'' – Spherical geometry and astronomy (composed in 1443 CE)		* ''Goladīpikā'' – Spherical geometry and astronomy (composed in 1443 CE)
	* ''Grahaṇamaṇḍana'' – Computation of eclipses (Its epoch is 15 July 1411 CE.)		* ''Grahaṇamaṇḍana'' – Computation of eclipses (Its epoch is 15 July 1411 CE.)