I. Quaternion investigations connected with Fresnel's wavesurface


Quarterly Mathematical Journal, 1859.


II. Note on the Cartesian equation of the wavesurface


Quarterly Journal of Pure and Applied Mathematics, 1859.


III. Quaternion investigations connected with electrodynamics and magnetism


Quarterly Journal of Mathematics, 1860.


IV. Quaternion investigation of the potential of a closed circuit


Quarterly Journal of Mathematics, 1860.


V. Note on a modification of the apparatus employed for one of Ampère's fundamental experiments in electrodynamics


Proceedings of the Royal Society of Edinburgh, 1861.


VI. Formuloe connected with small continuous displacements of the particles of a medium


Proceedings of the Royal Society of Edinburgh, 1862.


VII. Note on a quaternion transformation


Proceedings of the Royal Society of Edinburgh, 1863.


VIII. On the law of frequency of error


Transactions of the Royal Society of Edinburgh, Vol. XXIV., 1865.


IX. On the application of Hamilton's characteristic function to special cases of constraint


Transactions of the Royal Society of Edinburgh, Vol. XXIV., 1865.


X. Note on the reality of the roots of the symbolical cubic which expresses the properties of a selfconjugate linear and vector function


Proceedings of the Royal Society of Edinburgh, 1867.


XI. Note on a celebrated geometrical problem


Proceedings of the Royal Society of Edinburgh, 1867.


XII. Note on the hodograph


Proceedings of the Royal Society of Edinburgh, 1867.


XIII. Physical proof that the geometric mean of any number of positive quantities is less than the arithmetic mean


Proceedings of the Royal Society of Edinburgh, 1868.


XIV. On the dissipation of energy


Proceedings of the Royal Society of Edinburgh, 1868.


XV. On the rotation of a rigid body about a fixed point


Transactions of the Royal Society of Edinburgh, Vol. XXV., 1868.


XVI. Note on electrolytic polarization


Proceedings of the Royal Society of Edinburgh, 1869.


XVII. On the steady motion of an incompressible fluid in two dimensions


Proceedings of the Royal Society of Edinburgh, 1870.


XVIII. On the most general motion of an incompressible fluid


Proceedings of the Royal Society of Edinburgh, 1870.


XIX. On Green's and other allied theorems


Transactions of the Royal Society of Edinburgh, Vol. XXVI., 1870.


XX. Note on linear partial differential equations


Proceedings of the Royal Society of Edinburgh, 1870.


XXI. Note on linear differential equations in quaternions


Proceedings of the Royal Society of Edinburgh, 1870.


XXII. On some quaternion integrals. Parts I. and II.


Proceedings of the Royal Society of Edinburgh, 1870.


XXIII. Address to Section A of the British Association


British Association Report, Edinburgh, 1871.


XXIV. Note on a singular property of the retina


Proceedings of the Royal Society of Edinburgh, 1872.


XXV. On orthogonal isothermal surfaces. Part I.


Transactions of the Royal Society of Edinburgh, read 1866 ; revised and improved, 1872.


XXVI. Note on the strainfunction


Proceedings of the Royal Society of Edinburgh, 1872.


XXVII. On a question of arrangement and probabilities


Proceedings of the Royal Society of Edinburgh, 1873.


XXVIII. Thermoelectricity


Abstract of the Rede Lecture delivered in the Senate House, Cambridge, 1873. Nature, Vol. VIII.


XXIX. First approximation to a thermoelectric diagram


Transactions of the Royal Society of Edinburgh, Vol. XXVII., 1873. (Plates I, II, III.)


XXX. Note on the transformation of double and triple integrals


Proceedings of the Royal Society of Edinburgh, 1873.


XXXI. Note on the various possible expressions for the force exerted by an element of one linear conductor on an element of another


Proceedings of the Royal Society of Edinburgh, 1873.


XXXII. On a singular theorem given by Abel


Proceedings of the Royal Society of Edinburgh, 1874.


XXXIII. On a fundamental principle in statics


Proceedings of the Royal Society of Edinburgh, 1874.


XXXIV. On the application of Sir W. Thomson's deadbeat arrangement to chemical balances


Proceedings of the Royal Society of Edinburgh, 1875.


XXXV. On the linear differential equation of the second order


Proceedings of the Royal Society of Edinburgh, 1876.


XXXVI. On a possible influence of magnetism on the absorption of light, and some correlated subjects


Proceedings of the Royal Society of Edinburgh, 1876.


XXXVII. Force


Evening Lecture at British Association (Glasgow Meeting). Nature, 1876.


XXXVIII. Some elementary properties of closed plane curves


Messenger of Mathematics, New Series, No. 69. 1876.


XXXIX. On Knots


Transactions of the Royal Society of Edinburgh, 18767. Revised 1877. (Plates IV, V.)


XL. On Knots. Part II.


Transactions of the Royal Society of Edinburgh, Vol. XXXII., 1884. (Plate VI.)


XLI. On Knots. Part III.


Transactions of the Royal Society of Edinburgh, 1885. (Plates VII, VIII, IX.)


XLII. Note on the effect of heat on infusible impalpable powders


Proceedings of the Royal Society of Edinburgh, 1877.


XLIII. Note on an identity


Proceedings of the Royal Society of Edinburgh, 1877.


XLIV. Note on vector conditions of integrability


Proceedings of the Royal Society of Edinburgh, 1877.


XLV. Note on a geometrical theorem


Proceedings of the Royal Society of Edinburgh, 1878.


XLVI. Note on the surface of a body in terms of a volume integral


Proceedings of the Royal Society of Edinburgh, 1878.


XLVII. Note on the strength of the currents required to work a telephone


Proceedings of the Royal Society of Edinburgh, 1878.


XLVIII. Thermal and electric conductivity


Transactions of the Royal Society of Edinburgh, Vol. XXVIII. 1878.


XLIX. Note on electrolytic conduction


Proceedings of the Royal Society of Edinburgh, 1878.


L. Note on a mode of producing sounds of very great intensity


Proceedings of the Royal Society of Edinburgh, 1878.


LI. Obituary notice of James ClerkMaxwell


Proceedings of the Royal Society of Edinburgh, 1879.


LII. Mathematical notes


Proceedings of the Royal Society of Edinburgh, 1880.


LIII. Note on the theory of the 15 puzzle


Proceedings of the Royal Society of Edinburgh, 1880.


LIV. Note on a theorem in geometry of position


Transactions of the Royal Society of Edinburgh, 1880. (Plate X.)


LV. On Minding's theorem


Transactions of the Royal Society of Edinburgh, 1880.


LVI. A rotatory polarization spectroscope of great dispersion


Nature, Vol. XXII., 1880.


LVII. Note on a singular problem in kinetics


Proceedings of the Royal Society of Edinburgh, 1881.


LVIII. On mirage


Transactions of the Royal Society of Edinburgh, Vol. XXX., 1881. (Plate XI.)


LIX. Solar chemistry


Nature, Vol. XXIV., 1881.


LX. The pressure errors of the Challenger thermometers


Challenger Narrative, Vol. II., Appendix A. 1881. (Plate XII.)
