Topics in Elementary Geometry (PDF)
This small book has for a long time been a unique place to find classical results from geometry, such as Pythagoras' theorem, the nine-point circle, Morley's triangle, Poncelet's polygons, and many other subjects. In addition, this book contains recent,...
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This small book has for a long time been a unique place to find classical results from geometry, such as Pythagoras' theorem, the nine-point circle, Morley's triangle, Poncelet's polygons, and many other subjects. In addition, this book contains recent, geometric theorems which have been obtained in this classical field over the past years. There are 27 independent chapters on a wide range of topics in elementary plane Euclidean geometry, at a level just beyond what is usually taught in a good high school or college geometry course. The selection of topics is intelligent, varied, and stimulating. In a small space the author provides many thought-provoking ideas. This book will fit in well with the increasing interest for geometry in research and education. This book was originally published in Dutch, and this will be the first English translation. This translation also includes a new foreword by Robin Hartshorne.
"This highly entertaining book will broaden the reader's historical perspective in an enlightening manner and it provides attractive topics for classroom discussion." -Hendrik Lenstra, Universiteit Leiden
- Autor: O. Bottema
- 2008, 2nd ed. 2008, 142 Seiten, Englisch
- Übersetzer: Reinie Erne
- Verlag: Springer-Verlag GmbH
- ISBN-10: 0387781315
- ISBN-13: 9780387781310
- Erscheinungsdatum: 10.12.2008
Abhängig von Bildschirmgröße und eingestellter Schriftgröße kann die Seitenzahl auf Ihrem Lesegerät variieren.
- Dateiformat: PDF
- Größe: 1.76 MB
- Mit Kopierschutz
- Vorlesefunktion
From the reviews of the second edition:
"This small book includes Ceva’s and Menelaus’s theorems, the nine-point circle and Euler line, configuration theorems, Morley’s triangle, inequalities for elements in a triangle … . The arguments are not only geometric or trigonometric ones but also different coordinate systems are considered such as barycentric or trilinear coordinates in relation to a given triangle. … The book is very useful for teachers and teacher students who want to be inspired by the results of elementary geometry." (Herbert Hotje, Zentralblatt MATH, Vol. 1159, 2009)
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