Referee's report by William Spottiswoode, on four papers 'Fourth and fifth memoirs on quantics'; 'On the tangential of a cubic'; 'On the surface which is the envelope of planes through the points of an ellipsoid at right angles to the radius vectors from the centre' by Arthur Cayley Recommends both the 'Fourth and fifth memoirs on quantics' papers to be published in Philosophical Transactions. Recommends the 'On the tangential of a cubic' paper to be published in Philosophical Transactions. Hesitates to recommend the 'On the surface which is the envelope of planes through the points of an ellipsoid at right angles to the radius vectors from the centre' paper to be published. Subject: Mathematics ['Fourth and fifth memoirs on quantics' published in Philosophical Transactions, 1958] ['On the tangential of a cubic' published in Philosophical Transactions, 1958] [ 'On the surface which is the envelope of planes through the points of an ellipsoid at right angles to the radius vectors from the centre' published in Proceedings of the Royal Society, 1957] 29 April 1858