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I. Quaternion investigations connected with Fresnel's wave-surface
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Quarterly Mathematical Journal, 1859.
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II. Note on the Cartesian equation of the wave-surface
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Quarterly Journal of Pure and Applied Mathematics, 1859.
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III. Quaternion investigations connected with electro-dynamics and magnetism
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Quarterly Journal of Mathematics, 1860.
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IV. Quaternion investigation of the potential of a closed circuit
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Quarterly Journal of Mathematics, 1860.
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V. Note on a modification of the apparatus employed for one of Ampère's fundamental experiments in electrodynamics
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Proceedings of the Royal Society of Edinburgh, 1861.
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VI. Formuloe connected with small continuous displacements of the particles of a medium
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Proceedings of the Royal Society of Edinburgh, 1862.
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VII. Note on a quaternion transformation
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Proceedings of the Royal Society of Edinburgh, 1863.
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VIII. On the law of frequency of error
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Transactions of the Royal Society of Edinburgh, Vol. XXIV., 1865.
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IX. On the application of Hamilton's characteristic function to special cases of constraint
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Transactions of the Royal Society of Edinburgh, Vol. XXIV., 1865.
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X. Note on the reality of the roots of the symbolical cubic which expresses the properties of a self-conjugate linear and vector function
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Proceedings of the Royal Society of Edinburgh, 1867.
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XI. Note on a celebrated geometrical problem
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Proceedings of the Royal Society of Edinburgh, 1867.
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XII. Note on the hodograph
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Proceedings of the Royal Society of Edinburgh, 1867.
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XIII. Physical proof that the geometric mean of any number of positive quantities is less than the arithmetic mean
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Proceedings of the Royal Society of Edinburgh, 1868.
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XIV. On the dissipation of energy
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Proceedings of the Royal Society of Edinburgh, 1868.
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XV. On the rotation of a rigid body about a fixed point
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Transactions of the Royal Society of Edinburgh, Vol. XXV., 1868.
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XVI. Note on electrolytic polarization
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Proceedings of the Royal Society of Edinburgh, 1869.
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XVII. On the steady motion of an incompressible fluid in two dimensions
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Proceedings of the Royal Society of Edinburgh, 1870.
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XVIII. On the most general motion of an incompressible fluid
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Proceedings of the Royal Society of Edinburgh, 1870.
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XIX. On Green's and other allied theorems
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Transactions of the Royal Society of Edinburgh, Vol. XXVI., 1870.
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XX. Note on linear partial differential equations
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Proceedings of the Royal Society of Edinburgh, 1870.
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XXI. Note on linear differential equations in quaternions
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Proceedings of the Royal Society of Edinburgh, 1870.
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XXII. On some quaternion integrals. Parts I. and II.
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Proceedings of the Royal Society of Edinburgh, 1870.
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XXIII. Address to Section A of the British Association
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British Association Report, Edinburgh, 1871.
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XXIV. Note on a singular property of the retina
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Proceedings of the Royal Society of Edinburgh, 1872.
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XXV. On orthogonal isothermal surfaces. Part I.
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Transactions of the Royal Society of Edinburgh, read 1866 ; revised and improved, 1872.
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XXVI. Note on the strain-function
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Proceedings of the Royal Society of Edinburgh, 1872.
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XXVII. On a question of arrangement and probabilities
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Proceedings of the Royal Society of Edinburgh, 1873.
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XXVIII. Thermo-electricity
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Abstract of the Rede Lecture delivered in the Senate House, Cambridge, 1873. Nature, Vol. VIII.
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XXIX. First approximation to a thermo-electric diagram
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Transactions of the Royal Society of Edinburgh, Vol. XXVII., 1873. (Plates I, II, III.)
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XXX. Note on the transformation of double and triple integrals
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Proceedings of the Royal Society of Edinburgh, 1873.
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XXXI. Note on the various possible expressions for the force exerted by an element of one linear conductor on an element of another
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Proceedings of the Royal Society of Edinburgh, 1873.
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XXXII. On a singular theorem given by Abel
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Proceedings of the Royal Society of Edinburgh, 1874.
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XXXIII. On a fundamental principle in statics
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Proceedings of the Royal Society of Edinburgh, 1874.
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XXXIV. On the application of Sir W. Thomson's dead-beat arrangement to chemical balances
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Proceedings of the Royal Society of Edinburgh, 1875.
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XXXV. On the linear differential equation of the second order
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Proceedings of the Royal Society of Edinburgh, 1876.
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XXXVI. On a possible influence of magnetism on the absorption of light, and some correlated subjects
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Proceedings of the Royal Society of Edinburgh, 1876.
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XXXVII. Force
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Evening Lecture at British Association (Glasgow Meeting). Nature, 1876.
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XXXVIII. Some elementary properties of closed plane curves
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Messenger of Mathematics, New Series, No. 69. 1876.
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XXXIX. On Knots
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Transactions of the Royal Society of Edinburgh, 1876-7. Revised 1877. (Plates IV, V.)
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XL. On Knots. Part II.
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Transactions of the Royal Society of Edinburgh, Vol. XXXII., 1884. (Plate VI.)
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XLI. On Knots. Part III.
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Transactions of the Royal Society of Edinburgh, 1885. (Plates VII, VIII, IX.)
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XLII. Note on the effect of heat on infusible impalpable powders
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Proceedings of the Royal Society of Edinburgh, 1877.
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XLIII. Note on an identity
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Proceedings of the Royal Society of Edinburgh, 1877.
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XLIV. Note on vector conditions of integrability
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Proceedings of the Royal Society of Edinburgh, 1877.
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XLV. Note on a geometrical theorem
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Proceedings of the Royal Society of Edinburgh, 1878.
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XLVI. Note on the surface of a body in terms of a volume integral
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Proceedings of the Royal Society of Edinburgh, 1878.
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XLVII. Note on the strength of the currents required to work a telephone
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Proceedings of the Royal Society of Edinburgh, 1878.
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XLVIII. Thermal and electric conductivity
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Transactions of the Royal Society of Edinburgh, Vol. XXVIII. 1878.
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XLIX. Note on electrolytic conduction
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Proceedings of the Royal Society of Edinburgh, 1878.
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L. Note on a mode of producing sounds of very great intensity
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Proceedings of the Royal Society of Edinburgh, 1878.
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LI. Obituary notice of James Clerk-Maxwell
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Proceedings of the Royal Society of Edinburgh, 1879.
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LII. Mathematical notes
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Proceedings of the Royal Society of Edinburgh, 1880.
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LIII. Note on the theory of the 15 puzzle
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Proceedings of the Royal Society of Edinburgh, 1880.
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LIV. Note on a theorem in geometry of position
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Transactions of the Royal Society of Edinburgh, 1880. (Plate X.)
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LV. On Minding's theorem
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Transactions of the Royal Society of Edinburgh, 1880.
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LVI. A rotatory polarization spectroscope of great dispersion
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Nature, Vol. XXII., 1880.
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LVII. Note on a singular problem in kinetics
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Proceedings of the Royal Society of Edinburgh, 1881.
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LVIII. On mirage
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Transactions of the Royal Society of Edinburgh, Vol. XXX., 1881. (Plate XI.)
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LIX. Solar chemistry
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Nature, Vol. XXIV., 1881.
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LX. The pressure errors of the Challenger thermometers
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Challenger Narrative, Vol. II., Appendix A. 1881. (Plate XII.)
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