Mahāvīra - Revision history

Ramamurthy S: Heading updated

2022-12-01T10:13:02Z

Heading updated

← Older revision		Revision as of 15:43, 1 December 2022
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	:Mahāvīra's work differs <ref>{{Cite book\|last=Gurjar\|first=L V\|title=Ancient Indian Mathematics and Vedha\|year=1947\|location=Pune\|pages=102-103}}</ref>from that of others in respect of the definitions he introduced of various figures. He has given the definitions of a triangle-equilateral, isosceles and scalene-a square, a rectangle, [[isosceles trapezium]], trapezium with three sides equal, a quadrilateral, a circle, a semicircle, an ellipse, a hollow hemisphere and the lune. It is true that the results he derived regarding the area of an ellipse and the length of the curve of an ellipse are not accurate; but as a pioneer in this line his place stands high. Almost all the properties of the [[cyclic quadrilateral]] derived by [[Brahmagupta]], have been more lucidly explained by him.		:Mahāvīra's work differs <ref>{{Cite book\|last=Gurjar\|first=L V\|title=Ancient Indian Mathematics and Vedha\|year=1947\|location=Pune\|pages=102-103}}</ref>from that of others in respect of the definitions he introduced of various figures. He has given the definitions of a triangle-equilateral, isosceles and scalene-a square, a rectangle, [[isosceles trapezium]], trapezium with three sides equal, a quadrilateral, a circle, a semicircle, an ellipse, a hollow hemisphere and the lune. It is true that the results he derived regarding the area of an ellipse and the length of the curve of an ellipse are not accurate; but as a pioneer in this line his place stands high. Almost all the properties of the [[cyclic quadrilateral]] derived by [[Brahmagupta]], have been more lucidly explained by him.

	== Contributions of Mahāvīra in Mathematics~~[edit \| edit source]~~ ==		== Contributions of Mahāvīra in Mathematics ==

	* Separated astrology from mathematics<ref>{{Cite web \|title=Mahāvīra \|url=https://vedicmathschool.org/mahavira/}}</ref>		* Separated astrology from mathematics<ref>{{Cite web \|title=Mahāvīra \|url=https://vedicmathschool.org/mahavira/}}</ref>

Ramamurthy S: content added

2022-12-01T09:17:58Z

content added

← Older revision		Revision as of 14:47, 1 December 2022
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	</math> where a is the first term and r is the common ratio and S<sub>n</sub> is the sum to n terms.		</math> where a is the first term and r is the common ratio and S<sub>n</sub> is the sum to n terms.
	:Mahāvīra's work differs <ref>{{Cite book\|last=Gurjar\|first=L V\|title=Ancient Indian Mathematics and Vedha\|year=1947\|location=Pune\|pages=102-103}}</ref>from that of others in respect of the definitions he introduced of various figures. He has given the definitions of a triangle-equilateral, isosceles and scalene-a square, a rectangle, [[isosceles trapezium]], trapezium with three sides equal, a quadrilateral, a circle, a semicircle, an ellipse, a hollow hemisphere and the lune. It is true that the results he derived regarding the area of an ellipse and the length of the curve of an ellipse are not accurate; but as a pioneer in this line his place stands high. Almost all the properties of the [[cyclic quadrilateral]] derived by [[Brahmagupta]], have been more lucidly explained by him.		:Mahāvīra's work differs <ref>{{Cite book\|last=Gurjar\|first=L V\|title=Ancient Indian Mathematics and Vedha\|year=1947\|location=Pune\|pages=102-103}}</ref>from that of others in respect of the definitions he introduced of various figures. He has given the definitions of a triangle-equilateral, isosceles and scalene-a square, a rectangle, [[isosceles trapezium]], trapezium with three sides equal, a quadrilateral, a circle, a semicircle, an ellipse, a hollow hemisphere and the lune. It is true that the results he derived regarding the area of an ellipse and the length of the curve of an ellipse are not accurate; but as a pioneer in this line his place stands high. Almost all the properties of the [[cyclic quadrilateral]] derived by [[Brahmagupta]], have been more lucidly explained by him.

			== Contributions of Mahāvīra in Mathematics[edit \| edit source] ==

			* Separated astrology from mathematics<ref>{{Cite web \|title=Mahāvīra \|url=https://vedicmathschool.org/mahavira/}}</ref>
			* Created the terms equilateral and isosceles triangle, rhombus , circle and semicircle
			* Created formula that calculated the area and perimeters of ellipses.
			* devised methods to calculate the square of a number and cube roots of a number.
			* worked on the works of Āryabhaṭa and refined it.

	== External Links ==		== External Links ==

Admin at 09:09, 29 November 2022

2022-11-29T09:09:27Z

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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: 17 revisions imported from :alpha:Mahāvīra

2022-11-29T03:32:09Z

17 revisions imported from alpha:Mahāvīra

← Older revision	Revision as of 09:02, 29 November 2022
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alpha>Ramamurthy S at 11:47, 28 November 2022

2022-11-28T11:47:28Z

← Older revision		Revision as of 17:17, 28 November 2022
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	[[Category:Mathematics]]		[[Category:Mathematics]]
	[[Category:Indian Mathematicians]]		[[Category:Indian Mathematicians]]
			[[Category:Organic Articles English]]
			[[Category:Vigyan Ready]]

alpha>Abhishek: Abhishek moved page Mahavira to Mahāvīra without leaving a redirect

2022-11-28T09:42:02Z

Abhishek moved page Mahavira to Mahāvīra without leaving a redirect

← Older revision	Revision as of 15:12, 28 November 2022
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alpha>Ramamurthy S: /* External Links */

2022-11-14T14:28:32Z

External Links

← Older revision		Revision as of 19:58, 14 November 2022
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	* [https://mathshistory.st-andrews.ac.uk/Biographies/Mahavira/ Mahāvīra]		* [https://mathshistory.st-andrews.ac.uk/Biographies/Mahavira/ Mahāvīra]
			*[http://www.chaturpata-atharvan-ved.com/spiritual-books-section/spiritual-books/acharya-literature/scientist-acharya-of-ancient-india/Ganit-Sara-Sangraha-MahavirAcharya-Jain-EN.pdf Ganit-Sara-Sangraha-MahavirAcharya-Jain-EN.pdf]

	== See Also ==		== See Also ==

alpha>Ramamurthy S: /* External Links */

2022-11-14T14:23:47Z

External Links

← Older revision		Revision as of 19:53, 14 November 2022
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	Mahāvīra or Mahāvīrācārya was a 9th-century Jain mathematician born in Mysore, in Southern India. He was born in the year 815 AD<ref>{{Cite web\|title=Mahāvīra\|url=https://vedicmathschool.org/mahavira/}}</ref>. ''Gaṇitasārasan̄graha'' was authored by Mahāvīra. He was in the royal court of king Amoghavarṣa of Rāṣṭrakūṭa dynasty.		Mahāvīra or Mahāvīrācārya was a 9th-century Jain mathematician born in Mysore, in Southern India. He was born in the year 815 AD<ref>{{Cite web\|title=Mahāvīra\|url=https://vedicmathschool.org/mahavira/}}</ref>. ''[[Gaṇitasārasan̄graha]]'' was authored by Mahāvīra. He was in the royal court of king Amoghavarṣa of Rāṣṭrakūṭa dynasty.

	''Gaṇitasārasan̄graha'' has the following chapters<ref>{{Cite web\|title=Gaṇitasārasan̄graha\|url=https://en.wikipedia.org/wiki/Ganita_sar_sangrah}}</ref>		''Gaṇitasārasan̄graha'' has the following chapters<ref>{{Cite web\|title=Gaṇitasārasan̄graha\|url=https://en.wikipedia.org/wiki/Ganita_sar_sangrah}}</ref>
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	:व्यापारस्तत्र सर्वत्र संख्यानमुपयुज्यते॥		:व्यापारस्तत्र सर्वत्र संख्यानमुपयुज्यते॥
	: Meaning : Where there is business in worldly, Vedic and contemporary, only numbers are used everywhere.		: Meaning : Where there is business in worldly, Vedic and contemporary, only numbers are used everywhere.
	:It was Mahāvīra who first treats the series in Geometric progressions and gives almost all the formulae required therein.		:It was Mahāvīra who first treats the series in [[Geometric progressions]] and gives almost all the formulae required therein.
	:गुणसङ्कलितान्त्यधनं विगतैकपदस्य गुणधनं भवति ।		:गुणसङ्कलितान्त्यधनं विगतैकपदस्य गुणधनं भवति ।
	:तद्गुणगुणं मुखोनं व्येकोत्तर भाजितं सारम् ॥		:तद्गुणगुणं मुखोनं व्येकोत्तर भाजितं सारम् ॥
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	</math> where a is the first term and r is the common ratio and S<sub>n</sub> is the sum to n terms.		</math> where a is the first term and r is the common ratio and S<sub>n</sub> is the sum to n terms.
	:Mahāvīra's work differs <ref>{{Cite book\|last=Gurjar\|first=L V\|title=Ancient Indian Mathematics and Vedha\|year=1947\|location=Pune\|pages=102-103}}</ref>from that of others in respect of the definitions he introduced of various figures. He has given the definitions of a triangle-equilateral, isosceles and scalene-a square, a rectangle, isosceles trapezium, trapezium with three sides equal, a quadrilateral, a circle, a semicircle, an ellipse, a hollow hemisphere and the lune. It is true that the results he derived regarding the area of an ellipse and the length of the curve of an ellipse are not accurate; but as a pioneer in this line his place stands high. Almost all the properties of the cyclic quadrilateral derived by Brahmagupta, have been more lucidly explained by him.		:Mahāvīra's work differs <ref>{{Cite book\|last=Gurjar\|first=L V\|title=Ancient Indian Mathematics and Vedha\|year=1947\|location=Pune\|pages=102-103}}</ref>from that of others in respect of the definitions he introduced of various figures. He has given the definitions of a triangle-equilateral, isosceles and scalene-a square, a rectangle, [[isosceles trapezium]], trapezium with three sides equal, a quadrilateral, a circle, a semicircle, an ellipse, a hollow hemisphere and the lune. It is true that the results he derived regarding the area of an ellipse and the length of the curve of an ellipse are not accurate; but as a pioneer in this line his place stands high. Almost all the properties of the [[cyclic quadrilateral]] derived by [[Brahmagupta]], have been more lucidly explained by him.

	== External Links ==		== External Links ==

alpha>Ramamurthy S: /* External Links */

2022-11-14T07:52:45Z

External Links

← Older revision		Revision as of 13:22, 14 November 2022
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	</math> where a is the first term and r is the common ratio and S<sub>n</sub> is the sum to n terms.		</math> where a is the first term and r is the common ratio and S<sub>n</sub> is the sum to n terms.
			:Mahāvīra's work differs <ref>{{Cite book\|last=Gurjar\|first=L V\|title=Ancient Indian Mathematics and Vedha\|year=1947\|location=Pune\|pages=102-103}}</ref>from that of others in respect of the definitions he introduced of various figures. He has given the definitions of a triangle-equilateral, isosceles and scalene-a square, a rectangle, isosceles trapezium, trapezium with three sides equal, a quadrilateral, a circle, a semicircle, an ellipse, a hollow hemisphere and the lune. It is true that the results he derived regarding the area of an ellipse and the length of the curve of an ellipse are not accurate; but as a pioneer in this line his place stands high. Almost all the properties of the cyclic quadrilateral derived by Brahmagupta, have been more lucidly explained by him.

	== External Links ==		== External Links ==

alpha>Ramamurthy S: Content added

2022-11-14T07:40:43Z

Content added

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 :व्यापारस्तत्र सर्वत्र संख्यानमुपयुज्यते॥
 : Meaning : Where there is business in worldly, Vedic and contemporary, only numbers are used everywhere.
 == External Links ==