Abstract
IN the session 1863–64 Prof. Betti delivered at Pisa a course of lectures, subsequently (1865) printed in the Nuovo Cimento under the title “La Teorica delle Forze che agiscono secondo la legge di Newton e sua applicazione alla elettricità statica”; the volume before us is what may be looked upon as its greatly enlarged second edition. It consists of an introduction and three chapters. The first chapter, in twenty-three sections, treats of Potential Functions and of Potentials (§ 11 gives Green's theorem and some others due to Gauss; § 12 Stokes's theorem for transforming a double integral into a simple integral, and the properties of a surface which has on one face a stratum of attracting, and on the opposite face an equal stratum of repulsive, matter; the other sections appear to contain nearly all the known properties of these functions). Chapter II., on Electrostatics, in sixteen sections, discusses several cases of electrostatical distribution, the method of images (Sir W. Thomson's theory) and condensers; Chapter III., on Magnetism, is divided into ten sections (on p. 304 Prof. Betti announces the theorem, “Se la superficie di un corpo è semplicemente connessa ed ha un numero finito di poli, questo numero sarà sempre pari,” an advance upon Gauss, who has shown that if there be three poles there must also be a fourth).
Teorica delle Forze Newtoniane e sui applicazioni all' Elettrostattica e al Magnetismo del Prof. Enrico Betti.
365 pp. (Pisa, 1879.)
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Teorica delle Forze Newtoniane e sui applicazioni all' Elettrostattica e al Magnetismo del Prof. Enrico Betti . Nature 22, 557 (1880). https://doi.org/10.1038/022557b0
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DOI: https://doi.org/10.1038/022557b0