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analogy applied attenuation axis cable Cartesian charge circuital law component conductor connection consider constant curl density dielectric differential direction distance distortion distortionless distribution disturbances divergence effect electric and magnetic electric conductivity electric current electric force electrification electromagnetic waves eolotropic equation equivalent ether expressed external finite flux of energy formula function gaussage impressed force increase induction infinitely intrinsic kinetic leakage linear operator magnetic conductivity magnetic energy magnetic force magnetisation mathematical matter Maxwell's means medium merely motion moving negative normal obtain Ohm's law parallel permeance permittivity perpendicular plane waves potential practical propagation quantity quaternion reference plane regards resistance result rotation scalar product self-induction Similarly simple speed sphere spherical steady stress surface tangential tensor theory tion torque translational transverse tubes unit length unit volume varies vector algebra vector product velocity voltage waste of energy whilst wire zero
Page v - The fourth chapter is devoted to the theory of plane electromagnetic waves, and, being mainly descriptive, may perhaps be read with profit by many who are unable to tackle the mathematical theory comprehensively. I have included in the present volume the application of the theory (in duplex form) to straight wires, and also an account of the effects of self-induction and leakage, which are of some significance in present practice as well as in possible future developments.
Page 452 - Newton generalized the law of attraction into a statement that every particle of matter in the universe attracts every other particle with a force which varies directly as the product of their masses and inversely as the square of the distance between them; and he thence deduced the law of attraction for spherical shells of constant density.
Page 146 - ... the reign of Euclid continues. My own idea of a useful course is to begin with arithmetic, and then, not Euclid, but algebra. Next, not Euclid, but practical geometry, solid as well as plane ; not demonstrations, but to make acquaintance.
Page 134 - The quaternion and its laws were discovered by that extraordinary genius Sir W. Hamilton. A quaternion is neither a scalar nor a vector, but a sort of combination of both. It has no physical representatives, but is a highly abstract mathematical concept. It is the operator which turns one vector into another.
Page iv - The third chapter is devoted to vector algebra and analysis, in the form used by me in former papers. The fourth chapter is devoted to the theory of plane electromagnetic waves, and, being mainly descriptive, may perhaps be read with profit by many who are unable to tackle the mathematical theory comprehensively. I have included...
Page iii - The result is something approaching a connected treatise on electrical theory, though without the strict formality usually associated with a treatise. The following are some of the leading points in this volume. The first chapter is introductory. The second consists of an outline scheme of the fundamentals of electromagnetic theory from the FaradayMaxwell point of view, with some small modifications and extensions upon Maxwell's equations. The third...
Page 134 - Hamilton. A quaternion is neither a scalar, nor a vector, but a sort of combination of both. It has no physical representatives, but is a highly abstract mathematical concept. It is the " operator " which turns one vector into another.
Page 441 - Vol. 1, published in 1893, Heaviside considers 2 on page 441 " various ways, good and bad, of increasing the inductance of circuits." He suggests on page 445, the use of inductance in isolated lumps. This means the insertion of inductance coils at intervals in the main circuit.
Page 135 - Even Prof. Willard Gibbs must be ranked as one of the retarders of quaternion progress, in virtue of his pamphlet on Vector Analysis; a sort of hermaphrodite monster, compounded of the notations of Hamilton and of Grassmann . '
Page 73 - The principle of the continuity of energy is a special form of that of its conservation. In the ordinary understanding of the conservation principle it is the integral amount of energy that is conserved, and nothing is said about its distribution or its motion. This involves continuity of existence in time, but not necessarily in space also. But if we can localise energy definitely in space, then we are bound to ask how energy gets from place to place.