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... ICAL GAZETTE. the reduction of the ternary cubic to canonical form) was unsound. In fact, the proof there given would (if valid) have established the fact that x3+ y3+z3+ 6mxyz = 0 could be a cuspidal cubic ! This mistake is now corrected. The canonical reduction of a binary (2n-)-ic in ? 203 has been simplified with advantage. Perhaps ? 204 might have been recast more thoroughly to correspond. The statement in ? 224 that " The reduction of the sextic to the form x6-+y6-+z6+-x2y2z2 has not, as a matter of fact, been effected "; while correct in the first edition. is untrue in the second (see Messenger of Mathematics, vol. xliii. 1913, p. 25). It was rather bad luck to be out of date so soon ! The connexion of Faa de Bruno's theorem (? 16) with ? 7, Ex. 1, might have been pointed out with advantage, and also its extension to the case of quantics other than binary. Another, and perhaps an easier, proof is given in the examples to Chapter XIV. of Burnside and Panton's Theory of Equations. One sentence in the preface will suggest rather sad reflections to the author's many friends. Tact and sympathy with the young student, self-sacrificing work for the cause alike of teaching and administration, and an example of untirinl' devotion to a high ideal are assets of the Oxford Mathematical School, the loss of which can hardly be contemplated without painful emotion. Hydraulics and its Applications. With over 300 Figures and Tables.