Synopses & Reviews
Although extensively revised, this new edition continues in the fine tradition of its predecessor. Major changes include: a notation that formalizes the distinction between equality and congruence and between line, ray and line segment; a completely rewritten chapter on mathematical logic with inclusion of truth tables and the logical basis for the discovery of non-Euclidean geometries; expanded coverage of analytic geometry with more theorems discussed and proved with coordinate geometry; two distinct chapters on parallel lines and parallelograms; a condensed chapter on numerical trigonometry; more problems; expansion of the section on surface areas and volume; and additional review exercises at the end of each chapter. Concise and logical, it will serve as an excellent review of high school geometry.
Synopsis
This updated Second Edition was designed primarily for a quick review of high school level geometry in a one-semester course. Techniques of geometric construction are still introduced early in the course. Some major changes in this new edition include numbered sections and exercises, many more examples, more numerical problems accompanying exercise sets, a new chapter on numerical trigonometry, additional theorems that strengthen the logical development of the material, and reasons provided for all statements.
Table of Contents
Fundamental Concepts.
Congruent Triangles and Basic Theorems.
Parallels and Parallelograms.
Areas and Related Topics.
Ratio, Proportion, and Similarity.
Circles and More On Similarity.
Inequalities.
Geometric Loci.
Regular Polygons and Circles.
Mathematical Logic.
An Introduction To Analytical Geometry.
Numerical Trigonometry.
Appendixes.