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Mechanical Geometry: An Application to Geometry of Some Propositions in Statics (Classic Reprint) - Softcover
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Excerpt from Mechanical Geometry: An Application to Geometry of Some Propositions in Statics
In the equations of point: (chapter and of forces (chapter I have extended the meaning of the sign of equality; in them it means equivalence. In Chapter II. And the following ones, multiplication often signifies juxtaposition of the capital letters.
I have explained and exemplified, in the first eight chapters, some of the processes by which equa tions of forces, of distances, and of areas, can be derived from equations of points. In Chapers II., VI., IX., X. Will be found the method of the separation of the letters which define either a force, or a distance, or an area. The magnitude of a line is easily ascertained by the processes of Chapters VII. And VIII. Chapters XI. And XII. Contain the application of the preceding ones to the Areal Equations of the Straight Line and Circle. An equation involving one variable only, can be obtained, representing a straight line when of the first degree, a conic when of the second degree, a cubic when of the third, and so on. Moreover, most of the propositions in this book are actually true for a System of Points in Space, the others being readily made so, by changing in their enunciations, right lines into planes, areas into volumes, and circles into spheres. These and other further applications of the Mechanical Geometry I have in manuscript.
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Mechanical Geometry: An Application to Geometry of Some Propositions in Statics
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Paperback. Zustand: New. Print on Demand. This book offers a unique exploration of geometry through the lens of algebra and the Calculus. The author, a respected mathematician, demonstrates how these tools can be applied to geometric problems in innovative and effective ways. The book begins by introducing basic algebraic and Calculus concepts before diving into their application in geometry. It covers topics such as ratios of line segments, the geometry of circles, the properties of straight lines and triangles, and the calculation of areas and volumes of geometric shapes. The author's approach is both rigorous and accessible, making it suitable for students, educators, and professionals alike. Throughout the book, the author explores the connections between geometry and other branches of mathematics, providing insights into the interconnectedness of mathematical concepts. The text is also enriched with historical references and examples, placing the subject within its broader context. Overall, this book offers a valuable resource for anyone interested in deepening their understanding of geometry. It provides a fresh perspective on familiar concepts and opens doors to further exploration in the field. 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 9780282899295_0
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Mechanical Geometry: An Application to Geometry of Some Propositions in Statics (Classic Reprint)
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