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...
Tallennettuna:
| Päätekijä: | |
|---|---|
| Muut tekijät: | , |
| Aineistotyyppi: | Livre numérique |
| Kieli: | Anglais |
| Julkaistu: |
New York, NY :
Springer New York
2008.
Cham : Springer Nature |
| Painos: | 2nd edition. |
| Aiheet: | |
| Linkit: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Huomautus: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Topics in elementary geometry, O. Bottema, 2nd edition, 2008, New York (NY), Springer, 1 vol. (XII-142 p.), Springer Science+Business Media, 978-0-387-78130-3 • The collected works of Eugene Paul Wigner, Part A, The scientific papers, Volume 2, Nuclear physics, annotated by Herman Feshbach, Berlin, Springer, 1996, 1 vol. (X-574 p.), 3-540-56972-3 |
Sisällysluettelo:
- 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.