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Excursions in advanced euclidean geometry

Auteur: Alfred S Posamentier
Uitgever: Menlo Park, Calif. : Addison-Wesley Pub. Co., ©1984.
Editie/Formaat:   Print book : Engels : Rev. edAlle edities en materiaalsoorten bekijken.
Database:WorldCat
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Aanvullende fysieke materiaalsoort: Online version:
Posamentier, Alfred S.
Excursions in advanced euclidean geometry.
Menlo Park, Calif. : Addison-Wesley Pub. Co., ©1984
(OCoLC)622070686
Soort document: Boek
Alle auteurs / medewerkers: Alfred S Posamentier
ISBN: 0201203596 9780201203592
OCLC-nummer: 10850901
Beschrijving: vi, 170 pages : illustrations ; 28 cm
Inhoud: 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.
Verantwoordelijkheid: Alfred S. Posamentier.
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