CONTENTS.
I. Quaternion investigations connected with Fresnel's wave-surface
1
Quarterly Mathematical Journal, 1859.
 
II. Note on the Cartesian equation of the wave-surface
20
Quarterly Journal of Pure and Applied Mathematics, 1859.
 
III. Quaternion investigations connected with electro-dynamics and magnetism
22
Quarterly Journal of Mathematics, 1860.
 
IV. Quaternion investigation of the potential of a closed circuit
33
Quarterly Journal of Mathematics, 1860.
 
V. Note on a modification of the apparatus employed for one of Ampère's fundamental experiments in electrodynamics
35
Proceedings of the Royal Society of Edinburgh, 1861.
 
VI. Formuloe connected with small continuous displacements of the particles of a medium
37
Proceedings of the Royal Society of Edinburgh, 1862.
 
VII. Note on a quaternion transformation
43
Proceedings of the Royal Society of Edinburgh, 1863.
 
VIII. On the law of frequency of error
47
Transactions of the Royal Society of Edinburgh, Vol. XXIV., 1865.
 
IX. On the application of Hamilton's characteristic function to special cases of constraint
54
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 self-conjugate linear and vector function
74
Proceedings of the Royal Society of Edinburgh, 1867.
 
XI. Note on a celebrated geometrical problem
76
Proceedings of the Royal Society of Edinburgh, 1867.
 
XII. Note on the hodograph
78
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
83
Proceedings of the Royal Society of Edinburgh, 1868.
 
XIV. On the dissipation of energy
84
Proceedings of the Royal Society of Edinburgh, 1868.
 
XV. On the rotation of a rigid body about a fixed point
86
Transactions of the Royal Society of Edinburgh, Vol. XXV., 1868.
 
XVI. Note on electrolytic polarization
128
Proceedings of the Royal Society of Edinburgh, 1869.
 
XVII. On the steady motion of an incompressible fluid in two dimensions
132
Proceedings of the Royal Society of Edinburgh, 1870.
 
XVIII. On the most general motion of an incompressible fluid
134
Proceedings of the Royal Society of Edinburgh, 1870.
 
XIX. On Green's and other allied theorems
136
Transactions of the Royal Society of Edinburgh, Vol. XXVI., 1870.
 
XX. Note on linear partial differential equations
151
Proceedings of the Royal Society of Edinburgh, 1870.
 
XXI. Note on linear differential equations in quaternions
153
Proceedings of the Royal Society of Edinburgh, 1870.
 
XXII. On some quaternion integrals. Parts I. and II.
159
Proceedings of the Royal Society of Edinburgh, 1870.
 
XXIII. Address to Section A of the British Association
164
British Association Report, Edinburgh, 1871.
 
XXIV. Note on a singular property of the retina
174
Proceedings of the Royal Society of Edinburgh, 1872.
 
XXV. On orthogonal isothermal surfaces. Part I.
176
Transactions of the Royal Society of Edinburgh, read 1866 ; revised and improved, 1872.
 
XXVI. Note on the strain-function
194
Proceedings of the Royal Society of Edinburgh, 1872.
 
XXVII. On a question of arrangement and probabilities
199
Proceedings of the Royal Society of Edinburgh, 1873.
 
XXVIII. Thermo-electricity
206
Abstract of the Rede Lecture delivered in the Senate House, Cambridge, 1873. Nature, Vol. VIII.
 
XXIX. First approximation to a thermo-electric diagram
218
Transactions of the Royal Society of Edinburgh, Vol. XXVII., 1873. (Plates I, II, III.)
 
XXX. Note on the transformation of double and triple integrals
234
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
237
Proceedings of the Royal Society of Edinburgh, 1873.
 
XXXII. On a singular theorem given by Abel
245
Proceedings of the Royal Society of Edinburgh, 1874.
 
XXXIII. On a fundamental principle in statics
247
Proceedings of the Royal Society of Edinburgh, 1874.
 
XXXIV. On the application of Sir W. Thomson's dead-beat arrangement to chemical balances
249
Proceedings of the Royal Society of Edinburgh, 1875.
 
XXXV. On the linear differential equation of the second order
250
Proceedings of the Royal Society of Edinburgh, 1876.
 
XXXVI. On a possible influence of magnetism on the absorption of light, and some correlated subjects
255
Proceedings of the Royal Society of Edinburgh, 1876.
 
XXXVII. Force
256
Evening Lecture at British Association (Glasgow Meeting). Nature, 1876.
 
XXXVIII. Some elementary properties of closed plane curves
270
Messenger of Mathematics, New Series, No. 69. 1876.
 
XXXIX. On Knots
273
Transactions of the Royal Society of Edinburgh, 1876-7. Revised 1877. (Plates IV, V.)
 
XL. On Knots. Part II.
318
Transactions of the Royal Society of Edinburgh, Vol. XXXII., 1884. (Plate VI.)
 
XLI. On Knots. Part III.
335
Transactions of the Royal Society of Edinburgh, 1885. (Plates VII, VIII, IX.)
 
XLII. Note on the effect of heat on infusible impalpable powders
348
Proceedings of the Royal Society of Edinburgh, 1877.
 
XLIII. Note on an identity
349
Proceedings of the Royal Society of Edinburgh, 1877.
 
XLIV. Note on vector conditions of integrability
352
Proceedings of the Royal Society of Edinburgh, 1877.
 
XLV. Note on a geometrical theorem
357
Proceedings of the Royal Society of Edinburgh, 1878.
 
XLVI. Note on the surface of a body in terms of a volume integral
360
Proceedings of the Royal Society of Edinburgh, 1878.
 
XLVII. Note on the strength of the currents required to work a telephone
361
Proceedings of the Royal Society of Edinburgh, 1878.
 
XLVIII. Thermal and electric conductivity
363
Transactions of the Royal Society of Edinburgh, Vol. XXVIII. 1878.
 
XLIX. Note on electrolytic conduction
393
Proceedings of the Royal Society of Edinburgh, 1878.
 
L. Note on a mode of producing sounds of very great intensity
394
Proceedings of the Royal Society of Edinburgh, 1878.
 
LI. Obituary notice of James Clerk-Maxwell
396
Proceedings of the Royal Society of Edinburgh, 1879.
 
LII. Mathematical notes
402
Proceedings of the Royal Society of Edinburgh, 1880.
 
LIII. Note on the theory of the 15 puzzle
406
Proceedings of the Royal Society of Edinburgh, 1880.
 
LIV. Note on a theorem in geometry of position
408
Transactions of the Royal Society of Edinburgh, 1880. (Plate X.)
 
LV. On Minding's theorem
412
Transactions of the Royal Society of Edinburgh, 1880.
 
LVI. A rotatory polarization spectroscope of great dispersion
423
Nature, Vol. XXII., 1880.
 
LVII. Note on a singular problem in kinetics
425
Proceedings of the Royal Society of Edinburgh, 1881.
 
LVIII. On mirage
427
Transactions of the Royal Society of Edinburgh, Vol. XXX., 1881. (Plate XI.)
 
LIX. Solar chemistry
454
Nature, Vol. XXIV., 1881.
 
LX. The pressure errors of the Challenger thermometers
457
Challenger Narrative, Vol. II., Appendix A. 1881. (Plate XII.)