Solid Geometry Developed by the Syllabus Method (Classic Reprint) - Couverture souple

Smith, Eugene Randolph

9781334263002: Solid Geometry Developed by the Syllabus Method (Classic Reprint)

Couverture souple

ISBN 10 : 1334263000 ISBN 13 : 9781334263002

Editeur : Forgotten Books, 2018

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Delve into solid geometry with clear proofs and practical formulas for prisms, cylinders, cones, and more.

This edition guides you through how shapes behave in three dimensions, comparing plane and spherical geometry and showing where familiar theorems apply and where they do not. It covers key concepts like the prismatoid formula, volume and area calculations for common solids, and methods that link different shapes through proportional reasoning and Cavalieri’s principle. You’ll also see how radian measures interact with surface areas and volumes, and how symmetry helps describe solids.

How volume and lateral area formulas are derived for prisms, cylinders, cones, pyramids, and frustums.

Differences between plane geometry results and spherical geometry results, including why parallels behave differently.

The prismatoid approach and its role in unifying many volume formulas.

Using radian measure to simplify area and volume problems on spheres and other surfaces.

Ideal for readers of solid geometry, engineering students, and anyone who wants a solid grounding in three‑dimensional shapes.

Les informations fournies dans la section � Synopsis � peuvent faire r�f�rence � une autre �dition de ce titre.

�diteur: Forgotten Books
Date d'�dition: 2018
Langue: anglais
ISBN 10: 1334263000
ISBN 13: 9781334263002
Reliure: Broch�
Nombre de pages: 230
Coordonn�es du fabricant: Copytech (UK) Ltd, Trading as Printondemand-worldwide.com
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Orton Southgate
Peterborough
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Royaume-Uni
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Solid Geometry Developed by the Syllabus Method (Classic Reprint)

Eugene Randolph Smith

Edit� par Forgotten Books, 2018

ISBN 10 : 1334263000 ISBN 13 : 9781334263002

Neuf Paperback

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Vendeur : Forgotten Books, London, Royaume-Uni

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Paperback. Etat : New. Print on Demand. This book provides a unique approach to teaching solid geometry. Based on the author's 13 years of experience using the heuristic method, it encourages students to take an active role in their learning. The text develops new propositions in class, with the rest assigned as original exercises for preparation before the recitation. This method helps students build a deeper understanding of the material and improves their ability to think logically. The book covers the basics of solid geometry, including lines and planes, polyhedrons, cylinders, and cones. It also introduces students to more advanced topics, such as Cavalieris' Theorem and the Prismatoid Formula. Through its innovative approach and comprehensive coverage, this book provides a solid foundation for further study in geometry and other mathematical disciplines. 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 r�f. du vendeur 9781334263002_0

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