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The sum and the product of the roots can therefore be found directly from the equation without solving.
The character of the roots depends on the quantity under the radical, 62 4 ao.
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Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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Excerpt from Analytic Geometry
The sum and the product of the roots can therefore be found directly from the equation without solving.
The character of the roots depends on the quantity under the radical, 62 4 ao.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Reseña del editor
Excerpt from Analytic Geometry
In accordance with the general plan of this series of textbooks, the authors of the present volume have had constantly In mind the needs of the student who takes his mathematics primarily with a view to its applications as well as the needs of the student who pursues mathematics as an element of his education.
The processes of analytical geometry find their application, for the most part, in the scientific laboratory where it is often necessary to study the properties of a function from certain observed values. The fundamental concept is, therefore, that of functional correspondence and the methods of representing such correspondence geometrically. For this reason rather more than usual attention has been given to these subjects (Chapter III; also Chapter IX, Arts. 135 to 140).
An intelligent appreciation of functional correspondence requires an intimate knowledge of the relation between an equation and the graphical representation of the functional correspondence determined by the equation. Such a knowledge is most easily obtained by a study of linear equations and equations of the second degree together with their corresponding loci. This knowledge is not only of importance to the student of applied mathematics, but it has a special disciplinary value for the general student.
The standard forms of the equations of a number of important loci are developed early (Chapter IV), and the properties of these loci are discussed in detail later (Chapters VI and VII) by means of the equations already at hand. By this arrangement, it is hoped that some unnecessary repetition has been avoided.
The equations of tangents to the conic sections have been derived by means of the discriminant of the quadratic equation whose roots are the 3;-coordinates of the points of intersection with a variable secant, rather than by means of the derivative.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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Analytic Geometry Classic Reprint
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Paperback. Zustand: New. Print on Demand. This book delves into the realm of analytic geometry, a branch of mathematics that bridges the gap between algebra and geometry. It offers a comprehensive exploration of fundamental concepts, including coordinate systems, equations, and the graphical representation of functions. The author's approach is rooted in the historical development of the subject, tracing its origins back to the works of mathematicians like RenÃÂ Descartes. Readers will embark on a journey through various topics, from linear equations and conic sections to loci and transformations. The book emphasizes the practical applications of analytic geometry, highlighting its relevance in fields such as engineering and science. The author's clear and concise explanations, accompanied by numerous examples and exercises, make this book accessible to students and professionals alike. By unraveling the intricacies of analytic geometry, this book provides readers with a powerful tool for understanding the world around them and appreciating the elegance of mathematical reasoning. 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 9781330017326_0
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