Aryabhata · Mathematics

The Sine Table: From Jya to Sine

Aryabhata&rsquo;s table of sine-differences - the first true sine table in history - and the strange journey of his word <em>jya</em>, the half-chord, which travelled through Arabic mistransliteration to become the &lsquo;sine&rsquo; every student now learns.

What you'll be able to recall

You learned that Aryabhata replaced the Greek full-chord with the half -chord ( jya ), built the first table of sine-differences at intervals across a quarter-circle, and that jya became Arabic jiba , misread as jaib (&lsquo;bay, fold&rsquo;), then Latin sinus , then &lsquo;sine.&rsquo; Explain the mathematics and the…

Leads to Muhammad ibn Musa al-Khwarizmi.

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