E125 -- Consideratio progressionis cuiusdam ad circuli quadraturam inveniendam idoneae

(Consideration of a progression suitable for finding the quadrature of a circle)


Euler presents an elementary derivation of a semi-convergent series for arctan, which is a special case of the Euler Summation Formula.

According to the records, it was presented to the St. Petersburg Academy on March 23, 1739.

Publication: Documents Available:

Return to the Euler Archive