Aryabhata · Mathematics

Shadows, Not Demons: Eclipses and the Pulverizer

Aryabhata the calculator of the real heavens - explaining eclipses by the plain geometry of shadows rather than the swallowing demons of myth, and inventing the <em>kuttaka</em> or &lsquo;pulverizer,&rsquo; a general method for solving equations in whole numbers that Indian mathematics would prize for a thousand years.

What you'll be able to recall

You learned that Aryabhata explained eclipses geometrically by shadows (against the Rahu and Ketu demons of tradition), and that his kuttaka or &lsquo;pulverizer&rsquo; method solves linear indeterminate equations in integers by repeated division. Explain both, and why they show an astronomer committed to calculating…

Leads to Brahmagupta.

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