Definition:Ludolphine Number/Historical Note

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Historical Note on Ludolphine Number

Ludolph van Ceulen published a $20$-decimal approximation for pi in his $1596$ book Van den Circkel ("On the Circle").

He later expanding this result to $32$ decimal places, and finally to $35$ decimal places.

He did not live to see the $35$-decimal-place value published, but it was carved onto his tombstone in a churchyard in Leyden.

The church was subsequently rebuilt and his tomb was destroyed, but his epitaph had by then been recorded in a survey of Leyden. Hence his lifework was preserved.

He obtained his value by using Archimedes' technique, taking the number of sides of the inscribed and circumscribed polygons to be $2^{62}$.