The Project Gutenberg EBook of Solid Geometry with Problems and Applications (Revised edition) potx

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The Project Gutenberg EBook of Solid Geometry with Problems and Applications (Revised edition) potx

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The Project Gutenberg EBook of Solid Geometry with Problems and Applications (Revised edition), by H E Slaught and N J Lennes This eBook is for the use of anyone anywhere at no cost and with almost no restrictions whatsoever You may copy it, give it away or re-use it under the terms of the Project Gutenberg License included with this eBook or online at www.gutenberg.org Title: Solid Geometry with Problems and Applications (Revised edition) Author: H E Slaught N J Lennes Release Date: August 26, 2009 [EBook #29807] Language: English Character set encoding: ISO-8859-1 *** START OF THIS PROJECT GUTENBERG EBOOK SOLID GEOMETRY *** Bonaventura Cavalieri (1598–1647) was one of the most influential mathematicians of his time He was chiefly noted for his invention of the so-called “Principle of Indivisibles” by which he derived areas and volumes See pages 143 and 214 SOLID GEOMETRY WITH PROBLEMS AND APPLICATIONS REVISED EDITION BY H E SLAUGHT, Ph.D., Sc.D PROFESSOR OF MATHEMATICS IN THE UNIVERSITY OF CHICAGO AND N J LENNES, Ph.D PROFESSOR OF MATHEMATICS IN THE UNIVERSITY OF MONTANA ALLYN and BACON Bo

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  • Front Matter

    • PG Boilerplate

    • Biographical Sketch: Cavalieri

    • Transcriber's Note

    • Preface

    • Table of Contents

    • Introduction

      • Space Concepts

      • Axioms and Theorems from Plane Geometry

      • Properties of the Plane

        • Perpendicular Planes and Lines

        • Parallel Planes and Lines

        • Dihedral Angles

        • Constructions of Planes and Lines

        • Polyhedral Angles

        • Biographical Sketch: Thales

        • Regular Polyhedrons

          • Construction of Regular Polyhedrons

          • Prisms and Cylinders

            • Properties of Prisms

            • Properties of Cylinders

            • Pyramids and Cones

              • Properties of Pyramids

              • Properties of Cones

              • Biographical Sketch: Archimedes

              • The Sphere

                • Spherical Angles and Triangles

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