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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

    Aryabhatiya II.10 gives 24 first-differences of sines at 3°45' intervals (R = 3,438 minutes). Cumulative sum reconstructs sin(θ) for θ = 3°45'…90°, accurate to ~0.03%. The English word "sine" descends Sanskrit jya → Arabic jaib (translation error: pocket/ bay) → Latin sinus → English "sine." Hipparchus had a chord table 600 years earlier; Aryabhata's is the first half-chord (= modern sine) table in any tradition.

    The Aryabhatiya of Aryabhata · 499

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