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TopicAllAryabhata Alphabetic Numerals · 1Aryabhata Kuttaka · 1Aryabhata Pi Approximation · 1Aryabhata Sine Table · 1Aryabhata Summation Formulas · 1Bakhshali Zero Dot · 1Bhaskara Chakravala · 1Bhaskara Division By Zero · 1Bhaskara Pythagorean Rule · 1Bhaskara Two Root Quadratics · 1Bhuta Samkhya Word Numerals · 1Brahmagupta Bhavana · 1Brahmagupta Cyclic Quadrilateral · 1Brahmagupta Negative Multiplication · 1Brahmagupta Zero Arithmetic · 1Decimal Numerals Transmission · 1Lalitavistara Counting Contest · 1Lilavati Bee Problems · 1Mahavira Combinations Formula · 1Mahavira Ellipse Area · 1Mahavira Hundred Birds · 1Mahavira No Sqrt Of Negatives · 1Nilakantha Pi Infinite Series · 1Pingala Binary Counting · 1Sadratnamala Pi 17 Digits · 1Vedanga Ganita Crest · 1Yajurveda Powers Of Ten · 1

1 claim.

  • MathematicsT1

    Brahmasphutasiddhanta XII.21 (628 CE) gives the exact-area formula for any cyclic quadrilateral with sides a, b, c, d: K = √[(s−a)(s−b) (s−c)(s−d)], where s = (a+b+c+d)/2. First known generalization of Heron's triangle area formula to four sides. Rediscovered in Europe by Carl Strehlke in 1842 — 1,214 years later. Bhaskara II preserved the rule in Lilavati §167 (1150 CE), source of the verbatim quote.

    Algebra, with Arithmetic and Mensuration, from the Sanscrit of Brahmegupta and Bháscara · 628

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