Solid Geometry Developed by the Syllabus Method (Classic Reprint)

Smith, Eugene Randolph

ISBN 10: 1334263000 / ISBN 13: 9781334263002

Edité par Forgotten Books, 2019

232 pages. 9.02x5.98x0.49 inches. This item is printed on demand. N° de réf. du vendeur zk1334263000

Synopsis :

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.

Détails bibliographiques

Titre : Solid Geometry Developed by the Syllabus ...
Éditeur : Forgotten Books
Date d'édition : 2019
Reliure : Paperback
Etat : Brand New