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Topics in Elementary Geometry

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Cover of 'Topics in Elementary Geometry'

Table of Contents

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    Book Overview
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    Chapter 1 The Pythagorean Theorem
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    Chapter 2 Ceva’s Theorem
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    Chapter 3 Perpendicular Bisectors; Concurrence
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    Chapter 4 The Nine-Point Circle and Euler Line
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    Chapter 5 The Taylor Circle
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    Chapter 6 Coordinate Systems with Respect to a Triangle
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    Chapter 7 The Area of a Triangle as a Function of the Barycentric Coordinates of Its Vertices
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    Chapter 8 The Distances from a Point to the Vertices of a Triangle
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    Chapter 9 The Simson Line
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    Chapter 10 Morley’s Triangle
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    Chapter 11 Inequalities in a Triangle
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    Chapter 12 The Mixed Area of Two Parallel Polygons
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    Chapter 13 The Isoperimetric Inequality
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    Chapter 14 Poncelet Polygons
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    Chapter 15 A Closure Problem for Triangles
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    Chapter 16 A Class of Special Triangles
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    Chapter 17 Two Unusual Conditions for a Triangle
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    Chapter 18 A Counterpart for the Euler Line
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    Chapter 19 Menelaus’s Theorem; Cross-Ratios and Reciprocation
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    Chapter 20 The Theorems of Desargues, Pappus, and Pascal
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    Chapter 21 Inversion
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    Chapter 22 The Theorems of Ptolemy and Casey
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    Chapter 23 Pedal Triangles; Brocard Points
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    Chapter 24 Isogonal Conjugation; the Symmedian Point
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    Chapter 25 Isotomic Conjugation
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    Chapter 26 Triangles with Two Equal Angle Bisectors
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    Chapter 27 The Inscribed Triangle with the Smallest Perimeter; the Fermat Point
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24 Mendeley
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Title
Topics in Elementary Geometry
Published by
Springer New York, January 2008
DOI 10.1007/978-0-387-78131-0
ISBNs
978-0-387-78131-0, 978-0-387-78130-3
Authors

Bottema, O, Bottema, O.

Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 24 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
United Kingdom 1 4%
Portugal 1 4%
Vietnam 1 4%
Unknown 21 88%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 7 29%
Researcher 4 17%
Lecturer 3 13%
Professor 2 8%
Student > Doctoral Student 2 8%
Other 2 8%
Unknown 4 17%
Readers by discipline Count As %
Mathematics 6 25%
Computer Science 4 17%
Social Sciences 3 13%
Engineering 2 8%
Business, Management and Accounting 1 4%
Other 4 17%
Unknown 4 17%