9781330228944 - the cone and its sections: treated geometrically (classic reprint) de renshaw, s. a. (3 resultados)
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Librería: Forgotten Books, London, Reino UnidoForgotten Books
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Paperback. Condición: New. Print on Demand. This book explores the Conic Sections, a class of plane curves of immense mathematical and scientific significance. Consisting of the circle, parabola, ellipse and hyperbola, and first described by the mathematician Apollonius around 200 BC, their study has informed our understanding o…f everything from the elliptical orbits of planets to the parabolic trajectories of projectiles. Apollonius derived these curves from the cone - a solid shape generated by a straight line passing around a circumference whilst remaining parallel to a fixed straight line. This approach is central to the author's thorough examination of the primary properties of these conic sections, their areas, curvature and other characteristics. Of particular interest is the section detailing how anharmonic properties of the sections can be used to establish relationships between diameters, their ordinates and the tangents at their extremities. These relationships, which describe the geometric form of the curves, exemplify the book's depth of mathematical insight. This book is an authoritative and illuminating account of the fascinating field of conic sections, whose study has had a profound impact on our understanding of geometry, astronomy and physics, and whose principles underpin much of mathematics as we know it today. 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.
