Geometry for College Students |
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| Author:
| Isaacs, I. Martin |
| ISBN: | 978-0-534-35179-3 |
| Publication Date: | Nov 2000 |
| Publisher: | Brooks/Cole
|
| Book Format: | Hardback |
| List Price: | AUD $129.95 |
Book Description:
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1. THE BASICS Introduction and Apology / Congruent Triangles / Angles and Parallel Lines / Parallelograms / Area / Circles and Arcs / Polygons in Circles / Similarity 2. TRIANGLES The Circumcircle / The Centroid / The Euler Line, Orthocenter and Nine-Point Circle / Computations / The Incircle / Exscribed Circles / Morley's Theorem / Optimization in Triangles 3. CIRCLES AND LINES Simson Lines / The Butterfly Theorem / Cross Ratios / The Radical Axis 4. CEVA'S THEOREM AND ITS RELATIVE...
More Description1. THE BASICS Introduction and Apology / Congruent Triangles / Angles and Parallel Lines / Parallelograms / Area / Circles and Arcs / Polygons in Circles / Similarity 2. TRIANGLES The Circumcircle / The Centroid / The Euler Line, Orthocenter and Nine-Point Circle / Computations / The Incircle / Exscribed Circles / Morley's Theorem / Optimization in Triangles 3. CIRCLES AND LINES Simson Lines / The Butterfly Theorem / Cross Ratios / The Radical Axis 4. CEVA'S THEOREM AND ITS RELATIVE Ceva's Theorem / Interior and Exterior Cevians / Ceva's Theorem and Angles / Menelaus' Theorem 5. VECTOR METHODS OF PROOF Vectors / Vectors and Geometry / Dot Products / Checkerboards / A Bit of Trigonometry / Linear Operators 6. GEOMETRIC CONSTRUCTIONS Rules of the Game / Reconstructing Triangles / Tangents / Three Hard Problems / Constructible Numbers / Changing the Rules SOME FURTHER READING / INDEX