Elementary Geometry from an Advanced Standpoint
Students 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.
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Contents
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1
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1 |
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Distance and Congruence
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48 |
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Separation in Planes and Space
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72 |
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Copyright
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a₁ 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 dihedral angle distance element equation Euclid Euclidean Euclidean geometry exactly exterior angle theorem Figure finite following theorem formula area function geometry graph H₁ H₂ half planes hyperbolic geometry interior intersects isometry K₁ K₂ L-line LABC LBAC LEMMA length Let f M₁ M₂ mathematics means measure opposite sides ordered field P₁ pair parallel postulate perpendicular polygonal region polynomial positive integers positive number Problem Set PROOF proved Pythagorean theorem R₁ R₂ radius rational numbers real number system right angle root ruler postulate Saccheri quadrilateral satisfies Section segment sequence Suppose surd triangular regions upper bound vertices