CONTENTS.
ART. I. ON FOURIER'S EXPANSIONS OF FUNCTIONS IN TRIGONOMETRICAL SERIES
1
[From the Cambridge Mathematical Journal, Vol. II. May, 1841.]
ART. II. NOTE ON A PASSAGE IN FOURIER'S HEAT
7
[From the Cambridge Mathematical Journal, Vol. III. Nov. 1841.]
ART. III. ON THE UNIFORM MOTION OF HEAT IN HOMOGENEOUS SOLID BODIES, AND ITS CONNECTION WITH THE MATHEMATICAL THEORY OF ELECTRICITY
9
[Camb, Math, Jour. Vol. III. Feb. 1842. ELECTROSTATICS AND MAGNETISM, Article I.]
ART. IV. ON THE LINEAR MOTION OF HEAT. PART I.
10
[From the Cambridge Mathematical Journal, Vol. III. Nov. 1842.]
ART. V. ON THE LINEAR MOTION OF HEAT. PART II.
16
[From the Cambridge Mathematical Journal, Vol. III. Feb. 1843.]
ART. VI. PROPOSITIONS IN THE THEORY OF ATTRACTION
21
[ELECTROSTATICS AND MAGNETISM, XII.]
ART. VII. ON THE ATTRACTION OF CONDUCTING AND NONCONDUCTING ELECTRIFIED BODIES
21
[ELECTROSTATICS AND MAGNETISM, VII.]
ART. VIII. NOTE ON ORTHOGONAL ISOTHERMAL SURFACES
22
[From the Cambridge Mathematical Journal, Vol. III. May, 1843.]
ART. IX. ON THE EQUATIONS OF THE MOTION OF HEAT REFERRED TO CURVILINEAR CO-ORDINATES
25
[From the Cambridge Mathematical Journal, Vol. IV. Nov. 1843.]
ART. X. ELEMENTARY DEMONSTRATION OF DUPIN'S THEOREM
36
[From the Cambridge Mathematical Journal, Vol. IV. Feb. 1844.]
ART. XI. NOTE ON SOME POINTS IN THE THEORY OF HEAT
39
[From the Cambridge Mathematical Journal, Vol. IV. Feb. 1844.]
ART. XII. NOTE ON ORTHOGONAL ISOTHERMAL SURFACES
48
[From the Cambridge Mathematical Journal, Vol. IV. Nov. 1844.]
ART. XIII. NOTE ON THE LAW OF GRAVITY AT THE SURFACE OF A REVOLVING HOMOGENEOUS FLUID
53
[From the Cambridge Mathematical Journal, Vol. IV. Nov. 1844.]
ART. XIV. DEMONSTRATION OF A FUNDAMENTAL THEOREM IN THE MECHANICAL THEORY OF ELECTRICITY
54
[ELECTROSTATICS AND MAGNETISM, VIII.]
ART. XV. ON THE REDUCTION OF THE GENERAL EQUATION OF SURFACES OF THE SECOND ORDER
55
[From the Cambridge Mathematical Journal, Vol. IV. Feb. 1845.]
ART. XVI. ON THE LINES OF CURVATURE OF SURFACES OF THE SECOND ORDER
63
[From the Cambridge Mathematical Journal, Vol. IV. May, 1845.]
ART. XVII. DÉMONSTRATION D'UN THÉORÈME D'ANALYSE
71
[Liouville Mathematical Journal, Vol. X. 1845. Incorporated in other papers in ELECTROSTATICS AND MAGNETISM.]
ART. XVIII. NOTE SUR LES LOIS ÉLÉMENTAIRES D'ÉLECTRICITÉ STATIQUE
71
[Liouville Mathematical Journal, Vol. X. 1845. ELECTROSTATICS AND MAGNETISM, Article II.]
ART. XIX. EXTRAIT D'UNE LETTRE SUR L'APPLICATION DU PRINCIPE DES IMAGES À LA SOLUTION DE QUELQUES PROBLÈMES RELATIFS À LA DISTRIBUTION D'ÉLECTRICITÉ
71
[Liouville Mathematical Journal, Vol. X. 1845. ELECTROSTATICS AND MAGNETISM, Article XIV.]
ART. XX. NOTE ON INDUCED MAGNETISM IN A PLATE
71
[Cambridge and Dublin Mathematical Journal, Vol. I. 1846. ELECTROSTATICS AND MAGNETISM, Article IX.]
ART. XXI. ON THE MATHEMATICAL THEORY OF ELECTRICITY IN EQUILIBRIUM
71
[Cambridge and Dublin Mathematical Journal, Vol. I. 1846. ELECTROSTATICS AND MAGNETISM, Article V.]
ART. XXII. NOTE ON THE RINGS AND BRUSHES IN THE SPECTRA PRODUCED BY BIAXAL CRYSTALS
72
[From the Cambridge and Dublin Mathematical Journal, Vol. I. 1846.]
ART. XXIII. ON THE PRINCIPAL AXES OF A RIGID BODY
75
[Cambridge and Dublin Mathematical Journal, Vol. I. 1846. The substance of this is given in Thomson and Tait's Natural Philosophy, §§ 282, 284.]
ART. XXIV. NOTE ON M. LIOUVILLE'S PAPER "SUR UNE PROPRIÉTÉ DE LA COUCHE ÉLECTRIQUE EN ÉQUILIBRE À LA SURFACE D'UN CORPS CONDUCTEUR"
75
[Cambridge and Dublin Mathematical Journal, Vol. I. 1846. ELECTROSTATICS AND MAGNETISM, Article X.]
ART. XXV. ON ELECTRICAL IMAGES
75
[British Association Report, 1847. ELECTROSTATICS AND MAGNETISM, Article XIV.]
ART. XXVI. ON THE ELECTRIC CURRENTS BY WINCH THE PHENOMENA OF TERRESTRIAL MAGNETISM MAY BE PRODUCED
75
[British Association Report, 1847. ELECTROSTATICS AND MAGNETISM, Article XXIX.]
ART. XXVII. ON A MECHANICAL REPRESENTATION OF ELECTRIC, MAGNETIC, AND GALVANIC FORCES
76
[From the Cambridge and Dublin Mathematical Journal, Vol. II. 1847.]
ART. XXVIII. ON CERTAIN DEFINITE INTEGRALS SUGGESTED BY PROBLEMS IN THE THEORY OF ELECTRICITY
80
[Cambridge and Dublin Mathematical Journal, Vol. II. 1847. ELECTROSTATICS AND MAGNETISM, Article XI.]
ART. XXIX. ON THE FORCES EXPERIENCED BY SMALL SPHERES UNDER MAGNETIC INFLUENCE; AND ON SOME OF THE PHENOMENA PRESENTED BY DIAMAGNETIC SUBSTANCES
80
[Cambridge and Dublin Mathematical Journal, Vol. II. 1847. ELECTROSTATICS AND MAGNETISM, Article XXXIII.]
ART. XXX. ON A SYSTEM OF MAGNETIC CURVES
81
[From the Cambridge and Dublin Mathematical Journal, May, 1847.]
ART. XXXI. NOTES ON HYDRODYNAMICS
83
(1) "On the Equation of Continuity."
 
(2) "On the Equation of the Bounding Surface."
 
[From the Cambridge and Dublin Mathematical Journal, Feb. 1848.]
ART. XXXII. SYSTÈME NOUVEAU DE COORDONNÉS ORTHOGONALES
87
[Liouville, Jour. Math. Vol. XII. 1847. ELECTROSTATICS AND MAGNETISM, Article XIV. §§ 211, 220.]
ART. XXXIII. NOTE SUR UNE ÉQUATION AUX DIFFÉRENCES PARTIELLES QUI SE PRÉSENTE DANS PLUSIEURS QUESTIONS DE PHYSIQUE MATHÉMATIQUE
87
[Liouville, Math. Jour. Vol. XII. 1847. ELECTROSTATICS AND MAGNETISM, Article XIII.]
ART. XXXIV. ON THE EQUILIBRIUM OF MAGNETIC OR DIAMAGNETIC BODIES OF ANY FORM, UNDER THE INFLUENCE OF THE TERRESTRIAL MAGNETIC FORCE
88
[From the British Association Report, 1848 (Part II.).]
ART. XXXV. ON THE THEORY OF ELECTRO-MAGNETIC INDUCTION
91
[From the British Association Report, 1848 (Part II.).]
ART. XXXVI. THEOREMS WITH REFERENCE TO THE SOLUTION OF CERTAIN PARTIAL DIFFERENTIAL EQUATIONS
93
[From the Cambridge and Dublin Mathematical Journal, Feb. 1848. ELECTROSTATICS AND MAGNETISM, Article XIII.]
ART. XXXVII. NOTE ON THE INTEGRATION OF THE EQUATIONS OF EQUILIBRIUM OF AN ELASTIC SOLID
97
[From the Cambridge and Dublin Mathematical Journal, February, 1848.]
ART. XXXVIII. ON THE MATHEMATICAL THEORY OF ELECTRICITY IN EQUILIBRIUM
99
[Cambridge and Dublin Mathematical Journal, March, May, and Nov. 1848, Nov. 1849, and Feb. 1850. ELECTROSTATICS AND MAGNETISM, Articles IV. and V.]
ART. XXXIX. ON AN ABSOLUTE THERMOMETRIC SCALE FOUNDED ON CARNOT'S THEORY OF THE MOTIVE POWER OF HEAT, AND CALCULATED FROM REGNAULT'S OBSERVATIONS
100
[Cambridge Philosophical Society Proceedings for June, 1848; and Phil. May. Oct. 1848.]
ART. XL. NOTES ON HYDRODYNAMICS. ON THE VIS-VIVA OF A LIQUID IN MOTION
107
[From the Cambridge and Dublin Mathematical Journal, February, 1849.]
ART. XLI. AN ACCOUNT OF CARNOT'S THEORY OF THE MOTIVE POWER OF HEAT; WITH NUMERICAL RESULTS DEDUCED FROM REGNAULT'S EXPERIMENTS ON STEAM
113
[From Transactions of the Edinburgh Royal Society, XVI. 1849; Annal de Chimie, XXXV. 1852.]
THEORETICAL CONSIDERATIONS ON THE EFFECT OF PRESSURE IN LOWERING THE FREEZING POINT OF WATER. BY JAMES THOMSON
156
ART. XLII. ON THE THEORY OF MAGNETIC INDUCTION IN CRYSTALLINE SUBSTANCES
164
[Brit. Assoc. Rep. 1850 (Part II.). ELECTROSTATICS AND MAGNETISM, Article XXX.]
ART. XLIII. NOTES ON A PAPER "PROBLEMS RESPECTING POLYGONS IN A PLANE." BY ROBERT MOON
164
[Cambridge and Dublin Mathematical Journal, Vol. v. 1850.]
ART. XLIV. ON THE POTENTIAL OF A CLOSED GALVANIC CIRCUIT OF ANY FORM
164
[Cambridge and Dublin Mathematical Journal, Vol. v. 1850. ELECTROSTATICS AND MAGNETISM, Art. XXV.]
ART. XLV. THE EFFECT OF PRESSURE IN LOWERING THE FREEZING POINT OF WATER EXPERIMENTALLY DEMONSTRATED
165
[From the Proc. R. S. E. Jan. 1850; Phil. Mag. 1850; Annal. de Chimie, 1852; Journ. de Pharm, 1850; Poggend. Annal. 1850.]
ART. XLVI. ON THE FORCES EXPERIENCED BY INDUCTIVELY MAGNETIZED FERRO-MAGNETIC OR DIA-MAGNETIC NON-CRYSTALLINE SUBSTANCES
169
[Phil. Mag. 1850; Poggend. Annal. 1851. ELECTROSTATICS AND MAGNETISM, Art. XXXIV.]
ART. XLVII. ON A REMARKABLE PROPERTY OF STEAM CONNECTED WITH THE THEORY OF THE STEAM-ENGINE
170
[Phil. Mag. Nov. 1850. Pogg. Ann. 1850.]
ART. XLVIII. ON THE DYNAMICAL THEORY OF HEAT, WITH NUMERICAL RESULTS DEDUCED FROM MR JOULE'S EQUIVALENT OF A THERMAL UNIT, AND M. REGNAULT'S OBSERVATIONS ON STEAM
174
[Transactions of the Royal Society of Edinburgh, March, 1851, and Phil. Mag. IV. 1852.]
APPENDIX.-NOTE I. ON A MECHANICAL THEORY OF THERMO-ELECTRIC CURRENTS
316
[From Proceedings of the Royal Society of Edinburgh, December, 1851.]
NOTE II. A MECHANICAL THEORY OF THERMO-ELECTRIC CURRENTS IN CRYSTALLINE SOLIDS
324
[From Proceedings of the Royal Society of Edinburgh, May, 1854.]
NOTE III. (A) ON THE MECHANICAL ACTION OF HEAT, AND (B) THE SPECIFIC HEAT OF AIR
326
[From the Cambridge and Dublin Mathematical Journal, Nov. 1853.]
ART. XLIX. ON THE THERMAL EFFECTS OF FLUIDS IN MOTION. BY J. P. JOULE AND W. THOMSON
333
APPENDIX
432
ART. L. ON THERMODYNAMIC MOTIVITY
456
[From the Philosophical Magazine, May, 1879.]
ART. LI. EXPERIMENTAL RESEARCHES IN THERMO-ELECTRICITY
460
[From the Proceedings of the Royal Society, Vol. VII. May, 1854.]
ART. LII. ON THE THEORY OF MAGNETIC INDUCTION IN CRYSTALLINE AND NON-CRYSTALLINE SUBSTANCES
471
[Phil. Mag. March, 1851. ELECTROSTATICS AND MAGNETISM, Art. XXX.]
ART. LIII. ON THE MECHANICAL THEORY OF ELECTROLYSIS
472
[Phil. Mag. Dec. 1851.]
ART. LIV. APPLICATIONS OF THE PRINCIPLE OF MECHANICAL EFFECT TO THE MEASUREMENT OF ELECTRO-MOTIVE FORCES, AND OF GALVANIC RESISTANCES, IN ABSOLUTE UNITS
490
[Phil. Mag. Dec. 1851.]
ART. LV. ON THE SOURCES OF HEAT GENERATED BY THE GALVANIC BATTERY
503
[Brit. Assoc. Report, 1852 (Part 2.)]
ART. LVI. ON CERTAIN MAGNETIC CURVES; WITH APPLICATIONS TO PROBLEMS IN THE THEORIES OF HEAT, ELECTRICITY, AND FLUID MOTION
504
[Brit. Assoc. Report, 1852 (Part 2). ELECTROSTATICS AND MAGNETISM, Art. XXXV.]
ART. LVII. ON THE EQUILIBRIUM OF ELONGATED MASSES OF FERRO-MAGNETIC SUBSTANCE IN UNIFORM AND VARIED FIELDS OF FORCE
504
[Brit. Assoc. Report, Sept. 1852 (Part 2). ELECTROSTATICS AND MAGNETISM, Art. XXXV.]
ART. LVIII. ON THE MECHANICAL ACTION OF RADIANT HEAT OR LIGHT: ON THE POWER OF ANIMATED CREATURES OVER MATTER: ON THE SOURCES AVAILABLE TO MAN FOR THE PRODUCTION OF MECHANICAL EFFECT
505
[From the Proceedings of the Royal Society of Edinburgh, Feb. 1852.]
ART. LIX. ON A UNIVERSAL TENDENCY IN NATURE TO THE DISSIPATION OF MECHANICAL ENERGY
511
[From the Proceedings of the Royal Society of Edinburgh for April 19, 1852, also Philosophical Magazine, Oct. 1852.]
ART. LX. ON THE ECONOMY OF THE HEATING OR COOLING OF BUILDINGS BY MEANS OF CURRENTS OF AIR
515
[From the Glasgow Phil. Soc. Proc. Dec. 1852.]
ART. LXI. ON THE MECHANICAL VALUES OF DISTRIBUTIONS OF ELECTRICITY, MAGNETISM, AND GALVANISM
521
[From the Glasgow Phil. Soc. Proc. Jan. 1853.]
ART. LXII. ON TRANSIENT ELECTRIC CURRENTS
534
[From the Glasgow Phil. Soc. Proc. Jan. 1853.]
ART. LXIII. ON THE RESTORATION OF MECHANICAL ENERGY FROM AN UNEQUALLY HEATED SPACE
554
[From Phil. Mag. Feb. 1853.]