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Excursions in advanced euclidean geometry

Autor: Alfred S Posamentier
Editora: Menlo Park, Calif. : Addison-Wesley Pub. Co., ©1984.
Edição/Formato   Print book : Inglês : Rev. edVer todas as edições e formatos
Base de Dados:WorldCat
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Formato Físico Adicional: Online version:
Posamentier, Alfred S.
Excursions in advanced euclidean geometry.
Menlo Park, Calif. : Addison-Wesley Pub. Co., ©1984
(OCoLC)622070686
Tipo de Documento: Livro
Todos os Autores / Contribuintes: Alfred S Posamentier
ISBN: 0201203596 9780201203592
Número OCLC: 10850901
Descrição: vi, 170 pages : illustrations ; 28 cm
Conteúdos: 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.
Responsabilidade: Alfred S. Posamentier.
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