Mathematical and Physical Papers: Volume 1

Preface; 1. Planimetry on a moving plain; 2. On critical or 'apparently neutral' equilibrium; 3. Electromagnetic induction in conducting sheets and solid bodies; 4. On least action as the fundamental formulation in dynamics and physics; 5. On possible systems of jointed wicker-work, and their degrees of internal freedom; 6. On hydrokinetic symmetry; 7. On the theory of a system of forces equilibrating an astatic solid; 8. On the extension of Ivory's and Jacobi's distance-correspondences for quadric surfaces; 9. On the flow of electricity in a system of linear conductors; 10. Some applications of generalized space-coordinates to differential analysis: potentials and isotropic elasticity; 11. On the molecular theory of galvanic polarization; 12. On the form and position of the horopter; 13. General theory of Dupin's space-extension of the focal properties of conic sections; 14. On direct principles in the theory of partial differential equations; 15. The transformation of multiple surface integrals into multiple line integrals; 16. Electromagnetic and other images in spheres and planes; 17. On Professor Miller's observations of supernumerary rainbows; 18. The characteristics of an asymmetric optical combination; 19. A scheme of simultaneous motions of a system of rigidly connected points, and the curvatures of their trajectories; 20. The influence of electrification on ripples; 21. On the curvature of prismatic images, and on Amici's prism telescope; 22. Rotary polarization, illustrated by vibrations of a gyrostatically loaded chain; 23. The laws of the diffraction along caustic surfaces; 24. The most general type of electrical waves in dielectric media that is consistent with ascertained laws; 25. A mechanical representation of a vibrating electrical system, and its radiation; 26. On a generalized theory of electrodynamics; 27. The equations of propagation of disturbances in gyrostatically loaded media, and the circular polarization of light; 28. The influence of flaws and air-cavities on the strength of materials; 29. The simplest specification of a given optical path, and the observation required to determine it; 30. The applications of the spherometer to surfaces which are not spherical; 31. On the theory of electrodynamics, as affected by the nature of the mechanical stresses in excited dielectrics; 32. The dioptrics of gratings; 33. The singularities of the optical wave-surface, electrical stability, and magnetic rotary polarization; 34. The action of magnetism on light; with a critical correlation of the various theories of light-propagation; 35. Electric vibrations in condensing dielectric systems; 36. The significance of Wiener's localization of the photographic action of stationary light-waves; 37. A dynamical theory of the electric and luminiferous medium (abstract); 38. A dynamical theory of the electric and luminiferous medium, part I; 39. A dynamical theory of the electric and luminiferous medium, part II: theory of electrons (abstract); 40. A dynamical theory of the electric and luminiferous medium, part II: theory of electrons; 41. On graphical methods in geometrical optics; 42. On the absolute minimum of optical deviation by a prism; 43. On the geometrical method; 44. On the theory of moving electrons and electric charges; 45. On the theory of osmotic pressure; 46. The influence of a magnetic field on radiation frequency; 47. A dynamical theory of the electric and luminiferous medium, part III. relations with material media (abstract); Appendix.