Elementary Geometry from an Advanced StandpointStudents can rely on Moise's clear and thorough presentation of basic geometry theorems. The author assumes that students have no previous knowledge of the subject and presents the basics of geometry from the ground up. This comprehensive approach gives instructors flexibility in teaching. For example, an advanced class may progress rapidly through Chapters 1-7 and devote most of its time to the material presented in Chapters 8, 10, 14, 19, and 20. Similarly, a less advanced class may go carefully through Chapters 1-7, and omit some of the more difficult chapters, such as 20 and 24. |
Contents
1 | 1 |
SEPARATION IN PLANES AND SPACE | 61 |
ANGULAR MEASURE | 74 |
Copyright | |
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Common terms and phrases
AABC ABCD ADEF algebraic altitude angles are congruent b₁ base belongs bisector called Chapter circle circular sector congruent contains convex convex polygonal convex set coordinate system defined definition denoted dihedral angle distance element end points equation Euclid Euclidean Euclidean geometry exactly exterior angle exterior angle theorem FIGURE finite following theorem formula area Given AABC graph H₁ half planes hyperbolic geometry inequalities intersects isometry K₁ L-line L₁ Lemma length M₁ means measure one-to-one correspondence opposite sides ordered field P₁ pair parallel postulate perpendicular polygonal region polynomial positive integers positive number PROBLEM SET Proof proved Pythagorean theorem radius rational numbers real number system RESTATEMENT right angle right triangle root ruler postulate Saccheri quadrilateral satisfies Section segment sequence Suppose surd tangent triangular regions upper bound vertices