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Madhava's sine table
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Madhava's sine table : ウィキペディア英語版
Madhava's sine table

Madhava's sine table is the table of trigonometric sines of various angles constructed by the 14th century Kerala mathematician-astronomer Madhava of Sangamagrama. The table lists the trigonometric sines of the twenty-four angles 3.75°, 7.50°, 11.25°, ..., and 90.00° (angles that are integral multiples of 3.75°, i.e. 1/24 of a right angle, beginning with 3.75 and ending with 90.00). The table is encoded in the letters of Devanagari using the Katapayadi system. This gives the entries in the table an appearance of the verses of a poem in Sanskrit.
Madhava's original work containing the sine table has not yet been traced. The table is seen reproduced in the ''Aryabhatiyabhashya'' of Nilakantha Somayaji (1444–1544) and also in the ''Yuktidipika/Laghuvivrti'' commentary of Tantrasamgraha by Sankara Variar (circa. 1500-1560).

== The table ==

The image below gives Madhava's sine table in Devanagari as reproduced in ''Cultural foundations of mathematics'' by C.K. Raju.〔 The first twelve lines constitute the entries in the table. The last word in the thirteenth line indicates that these are "as told by Madhava".

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