Nicholas Mercator (c.1620-1687) and William Brouncker (1620-1684) discover an infinite series for the logarithm while attempting to calculate the area under a hyperbolic segment.
Editors. "Infinite series established for the logarithm". The Literary Encyclopedia. First published 01 May 2009
[http://www.litencyc.com/php/stopics.php?rec=true&UID=6132, accessed 20 December 2014.]