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| Additional Physical Format: | Online version: Posamentier, Alfred S. Excursions in advanced euclidean geometry. Menlo Park, Calif. : Addison-Wesley Pub. Co., ©1984 (OCoLC)622070686 |
|---|---|
| Document Type: | Book |
| All Authors / Contributors: |
Alfred S Posamentier |
| ISBN: | 0201203596 9780201203592 |
| OCLC Number: | 10850901 |
| Description: | vi, 170 pages : illustrations ; 28 cm |
| Contents: | Introduction -- 1. Elementary Euclidean geometry revisited -- Review of basic concepts of geometry -- Exercises -- 2. Concurrency of lines in a triangle -- Ceva's theorem -- Applications of Ceva's theorem -- The Gergonne point -- Exercises -- 3. Collinearity of points -- Duality -- Menelaus' theorem -- Applications of Menelaus' theorem -- Desargues' theorem -- Pascal's theorem -- Variation on Pascal's theorem -- Brianchon's theorem -- Pappus' theorem -- The Simson line -- Radical axis -- Exercises -- 4. Some symmetric points in a triangle -- Equiangular point -- A property of equilateral triangles -- A minimum distance point -- Exercises -- 5. More triangle properties -- Angle bisectors -- Stewart's theorem -- Miquel's theorem -- Medians -- Exercises -- 6. Quadrilaterals -- Centroid of a quadrilateral -- Cyclic quadrilaterals -- Ptolemy's theorem -- Exercises -- 7. Equicircles -- Exercises -- 8. The nine point circle -- Altitudes -- The nine point circle revisited -- Exercises -- 9. The golden section and Fibonacci numbers -- The golden ratio -- Fibonacci numbers -- Lucas numbers -- Fibonacci and Lucas numbers in geometry -- The Golden rectangle revisited -- The golden triangle -- Exercises. |
| Responsibility: | Alfred S. Posamentier. |
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