Tag: Visual edit |
Tag: Visual edit |
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'''Approximation of Pi''' |
'''Approximation of Pi''' |
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+ | Brahmagupta used two approximations of pi: |
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+ | :<math> \pi = 3 </math> |
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+ | :<math> \pi = \sqrt{10} </math> |
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'''Pell's Equation''' |
'''Pell's Equation''' |
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− | ''' |
+ | '''Cyclic Quadrilaterals''' |
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+ | Brahmagupta was famous for his studies on cyclic quadrilaterals. He discovered the formula for computing the area of a cyclic quadrilateral with sides <math> a, b, c, d </math> |
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+ | :<math> A = \sqrt{s(s-a)(s-b)(s-c)(s-d)} </math> |
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+ | where <math> s = \frac{a+b+c+d}{2} </math> is the semi-perimeter. |
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+ | |||
[[Category:Ancient Scientists]] |
[[Category:Ancient Scientists]] |
Revision as of 06:48, 22 October 2017
Indian astronomer and mathematician.
Born: c. 598 AD
Died: c. 670 AD
Discoveries
Astronomical Theory
Zero
In his magnum opus Brahmasphutasiddhanta, Brahmagupta was the first known mathematician to document on the arithmetic properties of zero as a number. The concept of zero as a number may have been known in India prior to Brahmagupta. Radiocarbon dating of the Bakhshali Manuscript (which included the symbol for zero) has revealed that parts of the document was written in the 4th century AD, the 7th century AD, and the 10th century AD.
Approximation of Pi
Brahmagupta used two approximations of pi:
Pell's Equation
Cyclic Quadrilaterals
Brahmagupta was famous for his studies on cyclic quadrilaterals. He discovered the formula for computing the area of a cyclic quadrilateral with sides
where is the semi-perimeter.