A Treatise on Conic Sections: Containing an Account of Some of the Most Important Modern Algebraic and Geometric Methods, 2D Rev. and Enl (Classic Reprint) - Couverture souple

George Salmon

9781330350287: A Treatise on Conic Sections: Containing an Account of Some of the Most Important Modern Algebraic and Geometric Methods, 2D Rev. and Enl (Classic Reprint)

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ISBN 10 : 1330350286 ISBN 13 : 9781330350287

Editeur : Forgotten Books, 2019

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Excerpt from A Treatise on Conic Sections: Containing an Account of Some of the Most Important Modern Algebraic and Geometric Methods, 2d Rev. And Enl

Art. 1. Geometrical theorems may be divided into two classes theorems concerning the magnitude of lines, and concerning their position; for example, that the square of the hypothenuse is equal to the sum of the squares of the sides, is a theorem con cerning magnitude; that the three perpendiculars of a triangle meet in a point, is a theorem concerning position.

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�diteur: Forgotten Books
Date d'�dition: 2019
Langue: anglais
ISBN 10: 1330350286
ISBN 13: 9781330350287
Reliure: Broch�
Nombre de pages: 351
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A Treatise on Conic Sections (Classic Reprint)

George Salmon

Edit� par Forgotten Books, 2018

ISBN 10 : 1330350286 ISBN 13 : 9781330350287

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Paperback. Etat : New. Print on Demand. This book introduces the reader to Ren� Descartes's invention of Analytic Geometry. It presents a detailed examination of the system of coordinates introduced by Descartes, and explores its essential role in describing geometric figures and solving geometric problems. The book begins with the foundational concept of mapping points onto a plane using perpendicular lines, this enables the expression of geometric problems and theorems as algebraic equations. By employing this innovative method, the author provides a thorough investigation of the equation of a straight line, demonstrating how this equation can be utilized to analyze various properties and relationships of lines, such as determining the slope, intercept, and angle of intersection between lines. Throughout the book, the author seamlessly blends geometric and algebraic approaches, fostering a deep understanding of the interplay between these two disciplines. This comprehensive approach empowers readers to grasp advanced concepts, such as transformations of coordinates, the distance between points, and the determination of the locus of points satisfying specific conditions. This book not only offers a comprehensive guide to Analytic Geometry but also unveils its significance as a fundamental tool that revolutionized the study of Geometry. It underscores the profound impact of Descartes's invention, which transformed Geometry from a subject primarily based on intuition and visualization into a discipline with a rigorous algebraic foundation. 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. N� de r�f. du vendeur 9781330350287_0

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