Analytical Geometry, Vol. 2: Containing the Theory of Curves and Surfaces of the Second Order (Classic Reprint) - Softcover
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Excerpt from Analytical Geometry, Vol. 2: Containing the Theory of Curves and Surfaces of the Second Order
The importance of this latter problem, in all those appli cations of algebra to Geometry in which a locus is the object of search, must be obvious to the student; and its value in many physical enquiries of the greatest interest will appear, when he considers that the path described by any moving body is always dependent upon those mechanical laws and restrictions in obedience to which it moves; and that, when these governing conditions are expressed in the language of analysis, equations present themselves, in which the form, and extent, and position, of the orbit are all implied. To announce these, however, in ordinary language, we must, of course, be able to interpret the symbolical expressions under which the information is delivered. It is with this business of interpretation that the first two chapters of the present work are occupied; the subject of examination being the general indeterminate equation of the second degree, under every variety of form in which it can possibly present itself.
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Analytical Geometry, Vol. 2 (Classic Reprint)
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Paperback. Zustand: New. Print on Demand. This book provides a comprehensive investigation of the conic sectionsâ"the parabola, ellipse, and hyperbolaâ"and the broader class of curves that encompasses them. Historically significant, conic sections have been studied by mathematicians for millennia, notably by the ancient Greeks, who recognized them as essential to understanding the universe. The author explores the analytical representation of these curves, detailing their unique characteristics and how they may be utilized to solve geometrical problems. By providing a thorough examination of the conic sections and their properties, this book offers readers a valuable resource for comprehending the fundamental principles underlying these foundational geometrical forms. 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. Bestandsnummer des Verkäufers 9780282995287_0
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Analytical Geometry, Vol. 2: Containing the Theory of Curves and Surfaces of the Second Order (Classic Reprint)
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