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- Some general theorems in quarternion interpretation.
*Messenger of Mathematics*, 14 (1884-85), 26-37. - Establishment of the fundamental properties of quaternions.
*Messenger of Mathematics*, 18 (1888-89), 131-137. - The transformation of multiple surface integrals into multiple line integrals.
*Messenger of Mathematics*, 18 (1888-89), 139-145. - Differentiation of any (scalar) power of a quaternion.
*Royal Society of Edinburgh. Proceedings.*, 16 (1888-89), 201-205. - (Abstract) Note on the Eulerian equations of hydrodynamics.
*Australasian Association for the Advancement of Science. Report of Meeting.*, 2 (Melbourne, 1890), 365-366. - Proposed extension of the powers of quaternion differentiation.
*Royal Society of Edinburgh. Proceedings.*, 18 (1890-91), 98-123. - (Abstract) On the mathematical theory of electromagnetism.
*Proceedings of the Royal Society of London*, 51 (1892), 400-404. - Quaternions as a practical instrument of physical research.
*Philosophical Magazine*, S.5, 33 (1892), 477-495. - On the mathematical theory of electromagnetism.
*Royal Society of London. Philosophical Transactions.*, A, 183 (1892), 685-779. - Quaternions.
*Nature*, 47 (1892), 151. - Notes on a modification of Maxwell's electrical theory.
*Philosophical Magazine*, S.5, 36 (1893), 175-188. - On some poular misconceptions of the nature of mathematical thought.
*Australasian Association for the Advancement of Science. Report of Meeting.*, 6 (Brisbane, 1895), 13-24. - (Abstract) Octonions.
*Proceedings of the Royal Society of London*, 59 (1895), 169-181. - On the wave-surface and rotation of polarization plane in an aeolotropic electromagnetic medium.
*Philosophical Magazine*, S.5, 42 (1896), 224-231. - On the meaning of symbols in applied algebra.
*Nature*, 56 (1897), 588. - Notes on the electromagnetic theory of light. I. Geometrical properties of the wave surface &c. II. Reflexion and refraction at the boundary of crystals, treated by a theorem of Sir William Rowan Hamilton.
*Philosophical Magazine*, S.5, 49 (1900), 228-242. - On some obscurities at the basis of mathematics.
*Australian Teacher*, 35 (October 1900), 10-15. - Practical astronomy in Tasmania, and a proposal for a school thereof.
*Royal Society of Tasmania. Papers and Proceedings.*, (1902), 85-94. - (With E.G. Hogg) A preliminary magnetic survey of Tasmania, 1901.
*Australasian Association for the Advancement of Science. Report of Meeting.*, 9 (Hobart, 1902), 81-94. - Algebra after Hamilton, or multenions.
*Royal Society of Edinburgh. Proceedings.*, 28 (1907-08), 503-585. - Elastic solid aether, with two moduli, satisfying MacCullagh's crystalline optical conditions.
*Philosophical Magazine*, S.6, 17 (1909), 553-560. - Spontaneous generation of electrons in an elastic solid aether.
*Philosophical Magazine*, S.6, 19 (1910), 129-152. - Quaternions.
*Encyclopaedia Britannica*, 11th edition (1910-11), vol. 22, pp.718-723. - Quaternions applied to physics in non-Euclidean space. I. The mathematical methods.
*Royal Society of Tasmania. Papers and Proceedings.*, (1914), 1-19. - Relativity and hyperbolic space.
*Nature*, 105 (1920), 808. - Inertial frame given by a hyperbolic space-time.
*Philosophical Magazine*, S.6, 41 (1921), 141-143. - Integration theorems of four-dimensional vector analysis.
*Philosophical Magazine*, S.6, 42 (1921) 197. - Multenions and differential invariants.
*Proceedings of the Royal Society of London*, A, 99 (1921), 292-324. - Multenions and differential invariants. II.
*Proceedings of the Royal Society of London*, A, 102 (1922), 210-240. - A relativity-predicted mechanical effect in the electromagnetic fieldied
*Nature*, 111 (1923), 325. - Multenions and differential invariants. III.
*Proceedings of the Royal Society of London*, A, 103 (1923), 162-183. - Poisson's and Green's theorems in Riemann's n-manifold both when it is space-like and when time-space-like.
*Philosophical Magazine*, S.6, 46 (1923), 146-155. - The mechanical forces indicated by relativity in an electromagnetic field. Can their existence be demonstrated?
*Philosophical Magazine*, S.6, 46 (1923), 156-162. - Researches in relativity. I. Criticism and modification of Einstein's latest manifoldied
*Royal Society of Tasmania. Papers and Proceedings.*, (1924), Appendix. iv + 20p. - Researches in relativity. II. The basis of the physical world as indicated by carrying as far as possible the tenets of relativity.
*Royal Society of Tasmania. Papers and Proceedings.*, (1925), Appendix II. 16p. *Utility of quaternions in physics*. London: Macmillan and Co., 1893. xiv + 107pp.*Octonions: a development of Clifford's bi-quaternions*. Cambridge: at the University Press, 1898. xiv + 253pp.*Five figure logarithmic and other tables*. London: Macmillan, 1903. xl + 161 pp. Reprinted 1909, 1916, 1918, 1920, 1930, 1942, 1946.