ISBN: 9781330130872 - the quarterly journal of pure and applied mathematics, 1871, vol. 11 (classic reprint) (3 Ergebnisse)

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Paperback. Zustand: New. Print on Demand. This book explores the relationship between the angular velocity about and the angular velocity of the instantaneous axis of a body revolving spontaneously about a fixed point, and on the axes of greatest and least mobility. The author investigates the circumstances of the general problem on the hypothesis that x is not less than at, and also considers especially the case when x is not less than at. This investigation is part of a larger body of work on the surfaces of the orders 6, 8, 9, 10, and 12. The author presents these surfaces in connection with each other and with the current theory. Included in the book are the following: the parabolic ring, or envelope of a sphere of constant radius having its centre on a parabola; the elliptic ring, or envelope of a sphere of constant radius having its centre on an ellipse; the centro-surface of a paraboloid; the parallel surface of a paraboloid; the envelope of planes through the points of an ellipsoid at right angles to the radius vectors from the centre; and the centro-surface of an ellipsoid, and the parallel surface of an ellipsoid. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item.…