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- On some hydrodynamical solutions.
*Quarterly Journal of Pure and Applied Mathematics*, 14 (1877), 40-43. - On the free motion of a solid through an infinite mass of liquid.
*London Mathematical Society. Proceedings.*, 8 (1876-77), 273-286. - On the conditions for steady motion of a fluid.
*London Mathematical Society. Proceedings.*, 9 (1877-78), 91-92. - On the potential of an elliptic cylinder.
*Messenger of Mathematics*, 7 (1877-78), 33-34. - Note on a theorem in hydrodynamics.
*Messenger of Mathematics*, 7 (1877-78), 41-42. - Note on a theorem relating to quadratic expressions.
*Messenger of Mathematics*, 10 (1880-81), 35-36. - On the oscillations of a viscous spheroid.
*London Mathematical Society. Proceedings.*, 13 (1881-82), 51-66. - On the vibrations of an elastic sphere.
*London Mathematical Society. Proceedings.*, 13 (1881-82), 189-212. - On the forces experienced by a solid moving in an infinite mass of liquid.
*Quarterly Journal of Pure and Applied Mathematics*, 19 (1883), 66-70. - The basis of statics.
*Philosophical Magazine*, S.5, 15 (1883), 187-191. - On the vibrations of a spherical shell.
*London Mathematical Society. Proceedings.*, 14 (1882-83), 50-56. - (Abstract) On electrical motions in a spherical conductor.
*Proceedings of the Royal Society of London*, 35 (1883), 130-132. - On the mutual potential of two lines in space.
*London Mathematical Society. Proceedings.*, 14 (1882-83), 301-307. - On electrical motions in a spherical conductor.
*Royal Society of London. Philosophical Transactions.*, 174 (1883), 519-549. - On the induction of electric currents in cylindrical and spherical conductors.
*London Mathematical Society. Proceedings.*, 15 (1883-84), 139-149. - Note on the induction of electric currents in a cylinder placed across the lines of magnetic force.
*London Mathematical Society. Proceedings.*, 15 (1883-84), 270-274. *The history of electromagnetism*. A discourse delivered at the annual commemoration of the University of Adelaide, December 17, 1884. Adelaide, 1884. 14pp.- On the motion of a viscous fluid contained in a spherical vessel.
*London Mathematical Society. Proceedings.*, 16 (1884-85), 27-43. - Proof of a hydrodynamical theorem.
*Messenger of Mathematics*, 14 (1884-85), 87-92. - On the persistency of electric currents in masses of iron. (Report of lecture accompanied by description of experiments given by Professor H. Lamb, March 5, 1885.) Supplementary remarks by Professor Rennie.
*Royal Society of South Australia. Transactions and Proceedings.*, 8 (1884-85), 73-74. - The cause of the luminosity of flame. (Report of lecture accompanied by description of experiments given by Professor H. Lamb, March 5, 1885.) Supplementary remarks by Professor Rennie.
*Royal Society of South Australia. Transactions and Proceedings.*, 8 (1884-85), 74-76. *A treatise on the mathematical theory of the motion of fluids*. Cambridge: at the University Press, 1879. x + 258p. German translation with emendations by Dr. Richard Reiff,*Einleitung in die Hydrodynamik*(Freiburg i.B. und Tübingen: Akademische Verlagsbuchhandlung von J.C.B. Mohr, 1884), xii + 332p. 2nd English edition 1895, entitled*Hydrodynamics*('This book may be regarded as a second edition of a 'Treatise on the Mathematical Theory of the Motion of Fluids' published in 1879, but the additions and alternatives are so extensive that it has been thought proper to make a change of title' - Preface). 3rd English edition 1906; authorised German translation by Johannes Friedel,*Lehrbuch der hydrodynamik*(Leipzig und Berlin: B.G. Teubner, 1907), xiv + 787p. 4th English edition 1916. 5th English edition 1924; 2nd authorised German translation, by Elise Helly, with additions by R. von Mises, 1931. 6th English edition 1932; 1st American edition 1945.