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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Paperback. Etat : 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. N° de réf. du vendeur 9781330165928_0
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