Excerpt from A Commentary on Newton's Principia
Then it is evident that if x, y, z are given, the point P can be found practically by taking A x x, A y y, drawing x z, y 2 parallel to A Y, A X; lastly, from their intersection, making 2 P parallel to A Z and equal to z. Hence x, y, z determine the position of the point P.
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Excerpt from A Commentary on Newton's Principia, Vol. 2 of 2: With a Supplementary Volume; Designed for the Use of Students at the Universities
Then it is evident that if x, y, z are given, the point P can be found practically by taking A x x, A y y, drawing x z, y 2 parallel to A Y, A X; lastly, from their intersection, making 2 P parallel to A Z and equal to z. Hence x, y, z determine the position of the point P.
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Excerpt from A Commentary on Newton's Principia, Vol. 2 of 2: With a Supplementary Volume; Designed for the Use of Students at the Universities
1. To determine the position of a point in fixed space. Assume any point A in fixed space as known and immoveable, and let three fixed planes of indefinite extent, be taken at right angles to one another and passing through A. Then shall their intersections A X', A Y', A Z' pass through A and be at right angles to one another.
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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Paperback. Condición: New. Print on Demand. Embark on a captivating journey into the realm of analytical geometry with this comprehensive guide. Delving into the fundamental principles of coordinate systems and their applications, the author meticulously explores the intricacies of points, lines, and planes in three-dimensional space. This book serves as a bridge between classical geometry and the burgeoning field of mathematical analysis. It systematically examines the representation of geometric objects through algebraic equations, paving the way for a deeper understanding of curves and surfaces. The author's insightful explanations illuminate key concepts such as distance formulas, equations of lines and planes, and the transformation of coordinate systems. With remarkable clarity, the book unravels the complexities of surfaces of the second order, including ellipsoids, hyperboloids, and paraboloids. The exploration extends to the fascinating properties of homogeneous functions and the profound role of arbitrary constants in differential equations. Through its meticulous exposition and insightful analysis, this book offers a profound appreciation for the elegance and power of analytical geometry, revealing its enduring impact on the advancement of mathematics and its diverse applications in the physical sciences and engineering. 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: 9781330165928_0
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