Referee's report by William Burnside, on a paper 'The third elliptic integral' by Alfred George Greenhill Sectional Committee: Mathematics Recommended for publication in Philosophical Transactions. There are no illustrations. There are several gaps which should be filled up before the paper goes to the printer. The phrase on page 75 'This must be left as an exercise for the student' is hardly suitable for the Philosophical Transactions. Also notes that an equation on page 38a is cyclotomic, if not a mere slip this requires justification. Annotated in another hand regarding which remarks from the referee should go to the author. [Published in the Philosophical Transactions A, 1904]. Endorsed on verso as received 13 January 1904. January 1904