Excerpt from The Elements of Analytic Geometry
The two central conics are treated simultaneously by using the double sign in the standard equation. In this way much time is saved; and the similarities of the properties of the two conics are presented in a striking manner.
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Excerpt from The Elements of Analytic Geometry
The two central conics are treated simultaneously by using the double sign in the standard equation. In this way much time is saved; and the similarities of the properties of the two conics are presented in a striking manner.
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.
Conic Sections. It is far more important to the student that he should acquire a good knowledge of the analytic method, that he should comprehend the generality of its processes, and learn how to interpret its results, than that he should obtain a detailed knowledge of the properties of any particular set of curves. Furthermore, there is a certain interrelation, or interdependence, between the various branches of elementary mathematics. Experience in teaching these subjects has convinced me that, on the ground of expediency alone, this interdependence should be recognized in the class room. In the study of mathematics, as well as in its applications, Algebra and Geometry, Analytics and Calculus, are mutually helpful. Hence these branches should not be studied entirely apart. As all these branches, or at least more than one, must finally be used in the complete solution of many problems, there seems to be no good reason why the student should not be taught to do this as soon as possible. For these reasons a fuller treatment than usual is given of the general analytic method before taking up the study of the conic sections, and subjects have been introduced that are not ordinarily included in text-books on Analytic Geometry. The method of theD ifferential Calculus is the only way of studying the slope of curves, and furnishes the best means for finding the equation of the tangent and the normal. The graphical method of illustration and the derivative are indispensable in the study of the Theory of Equations. The use of theD eriva tive Curve in the theory of equal roots, together with the fact that the ordinate of the derivative curve is the slope of the Integral Curve, naturally suggests a possible converse relation, and leads easily and logically and with no difficult transition to the study of Quadrature and Maxima and Minima. It is believed that the element
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Librería: Forgotten Books, London, Reino Unido
Paperback. Condición: New. Print on Demand. This book delves into the world of coordinates, distances, and areas, providing a foundational understanding of these mathematical concepts. It takes an analytical approach, using equations to describe and analyze geometric figures in both rectangular and polar coordinate systems. The author guides the reader through the fundamentals of coordinate geometry, including the plotting of points, the calculation of distances between points, and the determination of areas of polygons. By exploring these concepts, the book equips readers with the tools necessary to understand the behavior of geometric shapes and their relationships within the coordinate plane. 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. Nº de ref. del artículo: 9781440066795_0
Cantidad disponible: Más de 20 disponibles
Librería: PBShop.store US, Wood Dale, IL, Estados Unidos de America
PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781440066795
Cantidad disponible: 15 disponibles
Librería: PBShop.store UK, Fairford, GLOS, Reino Unido
PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781440066795
Cantidad disponible: 15 disponibles