The Theory Of Elliptic Integrals: And The Properties Of Surfaces Of The Second Order, Applied To The Investigation Of The Motion Of A Body Round A Fixed Point (1851) - Hardcover

Booth, James

9781437427134: The Theory Of Elliptic Integrals: And The Properties Of Surfaces Of The Second Order, Applied To The Investigation Of The Motion Of A Body Round A Fixed Point (1851)

Hardcover

ISBN 10: 1437427138 ISBN 13: 9781437427134

Verlag: Kessinger Publishing Co, 2008

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Rese�a del editor

This scarce antiquarian book is a facsimile reprint of the original. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions that are true to the original work.

Rese�a del editor

The investigations given in the following pages were made, the greater portion of them, several years ago. Some of them appeared from time to time in those periodical publications whose pages are open to discussions on subjects of this nature. In this treatise a complete investigation has been attempted of the laws of the motion of a rigid body round a fixed point, free from the action of accelerating forces, based on the properties of surfaces of the second order, of the curves in which these surfaces intersect, and on the theory of elliptic integrals. The results which have been obtained are exact and not approximate, general and not restricted by any imposed hypothesis. That the theory of the rotation of a rigid body round a fixed point might be made to rest on the properties of the ellipsoid, was long ago shown by Legendre, and more recently by Poinsot in his brief but elegant tract, the Theorie nouvelle de la Rotation desC orps. Professor De Morgan very justly observes, in his great work on theD ifferential and Integral Calculus, that the long, isolated, and inelegant investigations which usually fill up the chapters of works on dynamics which treat of rotatory motions might be almost entirely avoided, if the student were supposed to have that knowledge of the ellipsoid which he is supposed to have of the ellipse before he reads on the theory of gravitation. The ultimate analysis, however, or the dynamical solution of this problem, must be sought in the evaluation of those mathematical expressions known as elliptic integrals. At this point writers usually have abandoned the subject, or confined themselves to the discussion of particular hypotheses, and the deduction of approximate results.
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