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Excerpt from Elements of Analytic Geometry
This book is intended for beginners. As beginners generally find great difficulty in comprehending the connection between a locus and its equation, the Opening chapter is devoted mainly to an attempt, by means of easy illustrations and examples, to make this connection clear. Each chapter abounds in exercises; for it is only by solving problems which require some degree of original thought that any real mastery of the study can be gained. The more difficult propositions have been put at the ends of the chapters, under the heading of Supplementary Propositions. This arrangement makes it possible for every teacher to mark out his own course. The simplest course will be Chapters I. - III. And Chapters V. - VII., with Review Exercises and Supplementary Propositions left out. Between this course and the entire work the teacher can exercise his choice, and take just so much as time and circumstances will allow.
The author has gathered his materials from many sources, but he is particularly indebted to the English treatise of charles smith. Special acknowledgment is due to G. A. Hill, a.m., of Cambridge, Mass, and to Prof. J. M. Taylor, Colgate University, Hamilton, New York, for assistance in the preparation of the book.
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Paperback. Zustand: New. Print on Demand. This book is a comprehensive study of analytic geometry, a branch of mathematics used to solve problems in geometry using algebra. First developed by the French mathematician Renà Descartes in the 17th century, it has since become a fundamental tool in the fields of science and engineering. The author presents a structured and rigorous approach to the subject, beginning with the basic concepts of coordinates and loci and progressing to the study of conic sections, curves, and surfaces. The book provides a unique fusion of geometric and algebraic approaches, and throughout, the author demonstrates how the two can be effectively combined to provide insights into geometric problems. By studying the relationships between algebraic equations and their geometric representations, readers will gain a deeper understanding of the underlying principles and constructions of geometry. This book is a valuable resource for students, researchers, and practitioners in mathematics, engineering, and the physical sciences. 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 9781330271582_0
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