Saturday, October 1, 2011

Tha value of Pi

In 1844, Johann Dase (aka Zacharias Dahse) computed π to 200 decimal places in less than 2 months.

π = 3.14159 26353 89793 23846 26433 83279 50288 41971 69399 37510 58209 74944 59230 78164 06286 20899 86280 34825 34211 70679 82148 08651 32823 06647 09384 46095 50582 23172 53594 08128 48111 74502 84102 70193 85211 05559 64462 29489 54930 38196

To get this result Dase used the equation,
π/4 = arctan (1/2) + arctan (1/5) + arctan (1/8) + … with a series expansion for each arctangent.

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