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Topics in Elementary Geometry
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 b...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York, NY :
Springer New York : Imprint: Springer,
2008.
|
| Edición: | 2nd ed. 2008. |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-0-387-78131-0 | ||
| 003 | DE-He213 | ||
| 005 | 20220112175522.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 100301s2008 xxu| s |||| 0|eng d | ||
| 020 | |a 9780387781310 |9 978-0-387-78131-0 | ||
| 024 | 7 | |a 10.1007/978-0-387-78131-0 |2 doi | |
| 050 | 4 | |a QA440-699 | |
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| 100 | 1 | |a Bottema, O. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Topics in Elementary Geometry |h [electronic resource] / |c by O. Bottema. |
| 250 | |a 2nd ed. 2008. | ||
| 264 | 1 | |a New York, NY : |b Springer New York : |b Imprint: Springer, |c 2008. | |
| 300 | |a XII, 142 p. 76 illus. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
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| 505 | 0 | |a The Pythagorean Theorem -- Ceva#x02019;s Theorem -- Perpendicular Bisectors; Concurrence -- The Nine-Point Circle and Euler Line -- The Taylor Circle -- Coordinate Systems with Respect to a Triangle -- The Area of a Triangle as a Function of the Barycentric Coordinates of Its Vertices -- The Distances from a Point to the Vertices of a Triangle -- The Simson Line -- Morley#x02019;s Triangle -- Inequalities in a Triangle -- The Mixed Area of Two Parallel Polygons -- The Isoperimetric Inequality -- Poncelet Polygons -- A Closure Problem for Triangles -- A Class of Special Triangles -- Two Unusual Conditions for a Triangle -- A Counterpart for the Euler Line -- Menelaus#x02019;s Theorem; Cross-Ratios and Reciprocation -- The Theorems of Desargues, Pappus, and Pascal -- Inversion -- The Theorems of Ptolemy and Casey -- Pedal Triangles; Brocard Points -- Isogonal Conjugation; the Symmedian Point -- Isotomic Conjugation -- Triangles with Two Equal Angle Bisectors -- The Inscribed Triangle with the Smallest Perimeter; the Fermat Point. | |
| 520 | |a 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. | ||
| 650 | 0 | |a Geometry. | |
| 650 | 1 | 4 | |a Geometry. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9780387569727 |
| 776 | 0 | 8 | |i Printed edition: |z 9780387781303 |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-0-387-78131-0 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||