Referee's report by Henry John Stephen Smith, on a paper 'On the distribution of surfaces of the third order into species, reference to the absence or presence of singular points, and the reality of their lines' by Ludwig Schläfli Recommended for publication in the 'Philosophical Transactions of the Royal Society'. The paper is an important contribution to the science of cubic surfaces. The abstract regarding the synopsis of classification, already published in the Proceedings, should be incorporated into the current paper. Subject: Mathematics [Published in the Philosophical Transactions of the Royal Society, 1863] 18 February 1863