Referee's report by William Henry Smyth, on a paper 'On the extension of the value of the ratio of the circumference of a circle to its diameter' by William Rutherford Not recommended for publication in the 'Philosophical Transactions of the Royal Society'. Considers a paper in the Proceedings will be sufficient. Refers to the author's previous paper which extended Pi to 208 places, and notes an error in the previous paper which has been corrected in the current paper under review. Refers to work by Abraham Sharp, copies of which the reviewer hopes to obtain from Helen Giles [?], through her relative the Reverend J B Reade, in order to determine whether Sharp 'escaped the above mentioned error. Subject: Mathematics [Published in the 'Proceedings of the Royal Society of London'] 26 February 1853