Referee's report by Arthur Cayley, on a paper 'On a new geometry of space' by Julius Plücker Recommended for publication in the 'Philosophical Transactions of the Royal Society'. Considers the paper very similar to his own ['On a new analytical representation of curves in space', Quarterly Mathematical Journal, Vol. 3 & Vol.5]. The author, as a 'geometer' has come at the subject from a different angle, resulting in 'interesting optical applications of the theory'. Subject: Mathematics [Published in the Philosophical Transactions of the Royal Society, 1865] 9 March 1865