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Topics in elementary geometry

Author: O Bottema
Publisher: New York : Springer, ©2008.
Edition/Format:   eBook : Document : English : 2nd ed.View all editions and formats

This small book, now translated into English, is a unique place to find classical results from geometry. The selection of topics is intelligent, varied, and stimulating. In a small space the author  Read more...


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Genre/Form: Electronic books
Additional Physical Format: Print version:
Bottema, O. (Oene).
Topics in elementary geometry.
New York : Springer, ©2008
(DLC) 2008931335
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: O Bottema
ISBN: 9780387781310 0387781315
OCLC Number: 370728936
Language Note: Translated from the Dutch.
Description: 1 online resource (xii, 142 pages) : illustrations
Contents: 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.
Other Titles: Hoofdstukken uit de elementaire meekunde.
Responsibility: O. Bottema.


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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 Read more...

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