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作者 Honsberger, Ross
書名 Episodes in Nineteenth and Twentieth Century Euclidean Geometry
出版項 Washington : American Mathematical Society, 1995
©1995
國際標準書號 9780883859513 (electronic bk.)
9780883856390
book jacket
說明 1 online resource (189 pages)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
系列 Anneli Lax New Mathematical Library ; v.37
Anneli Lax New Mathematical Library
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
Description based on publisher supplied metadata and other sources
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
主題 Geometry, Projective.;Geometry
Electronic books
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