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Excerpt from The Elements of Solid Geometry
In Section III. I have treated of Dihedral and Solid Angles, and in Section IV. Of Polyhedra, and in particular of the five Regular Solids, with the definitions and a summary of the leading characteristics of the Prism, Cylinder, Pyramid,' Cone, and Sphere.
In Section V. The Volumes of Solids are considered, and the usual rules or formulae for the numerical measures of volumes in cubic units deduced. To this Section I have added an Appendix on Symmetry, which I h0pe will be useful in assisting the student to clearer conceptions of figures and their relations in solid space. A short word has long been wanted for the decasyllabic rectangular parallelepiped: I am sanguine that the word cuboid, which I have here introduced, will meet with acceptance from mathematicians.
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Paperback. Zustand: New. Print on Demand. This book offers a comprehensive exploration of solid geometry, guiding readers through the fundamental principles and theorems that govern three-dimensional space. It delves into the logical foundations of the subject, carefully examining postulates and axioms related to points, lines, planes, and solids. Building upon the established framework of Euclidean geometry, the author extends the exploration beyond the traditional scope, introducing concepts such as intersections, parallels, normals, obliques, dihedral angles, and polyhedra. Readers are invited to delve into the intricacies of these geometric forms, understanding their properties, relationships, and applications. The book delves into the measurement of solid figures, exploring the principles of stereometry and the calculation of volumes. It also touches upon the concept of symmetry, offering insights into the aesthetic and mathematical significance of symmetrical forms in solid geometry. By presenting a rigorous and accessible treatment of the subject, this book provides readers with a deeper understanding of the geometric world around them. Its insights into the nature of space, shape, and form offer a valuable foundation for further exploration in mathematics, science, 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. Bestandsnummer des Verkäufers 9780282593100_0
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