| 說明 |
1 online resource (189 pages) |
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text txt rdacontent |
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computer c rdamedia |
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online resource cr rdacarrier |
| 系列 |
Anneli Lax New Mathematical Library ; v.37 |
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Anneli Lax New Mathematical Library
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| 附註 |
Cover -- Title page -- copyright page -- 1. Cleavers and Splitters -- 2. The Orthocenter -- 3. On Triangles -- 4. On Quadrilaterals -- Exercise Set 4 -- 5. A Property of Triangles -- 1. The Property -- 2. The Simson Line -- 3. The Proof of the Property (John Rigby) -- 4. A Corollary -- 5. A Property of Parabolas -- 6. The Fuhrmann Circle -- 7. The Symmedian Point -- Section 1 -- 2. Isogonal Lines and Points -- Exercise -- 3. The Symmedians and the Symmedian Point K -- 4. Applications and Further Developments -- References -- Exercise Set 7 -- 8. The Miquel Theorem -- Section 1 -- 2. The Theorem of Miquel -- 3. The Case of P_1, P_2, P_3 Collinear -- 4. Simson Lines -- 5. A Curious Angle Property -- 9. The Tucker Circles -- 1. Parallels and antiparallels -- 2. The Lemoine circles -- 3. The Tucker circles -- 4. The center of a Tucker circle lies on the line KO -- 5. The first Lemoine circle -- 6. The Taylor Circle -- Exercise Set 9 -- 10. The Brocards Points -- 1. The Brocard Points -- 2. The Brocard Angle -- Exercise -- Exercise -- 3. The Brocard Circle -- 4. The Brocard triangles -- 5. The Steiner point and the Tarry point -- 6. A property relating K, G, Omega, Omega' -- 11. The Orthopole -- Section 1 -- Section 2 -- 3. The Rigby Point -- Exercise -- 12. On Cevians -- 1. Ceva's Theorem -- Section 2 -- Section 3 -- 4. Haruki's Cevian theorem for circles -- 13. The Theorem of Menelaus -- Section 1 -- 2. Applications -- Suggested Reading -- Solutions to the Exercises -- 1. Cleavers and Splitters -- 2. The Orthocenter -- 3. On Triangles -- 4. On Quadrilaterals -- 7. The Symmedian Point -- 9. The Tucker Circles -- 11. The Orthopole -- Index |
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Description based on publisher supplied metadata and other sources |
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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2020. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries |
| 鏈接 |
Print version: Honsberger, Ross Episodes in Nineteenth and Twentieth Century Euclidean Geometry
Washington : American Mathematical Society,c1995 9780883856390
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| 主題 |
Geometry, Projective.;Geometry
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Electronic books
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