Topics in Elementary Geometry

2. The Pythagorean Theorem
O. Bottema, Reinie Erne

3. Ceva’s Theorem
O. Bottema, Reinie Erne

4. Perpendicular Bisectors; Concurrence
O. Bottema, Reinie Erne

5. The Nine-Point Circle and Euler Line
O. Bottema, Reinie Erne

6. The Taylor Circle
O. Bottema, Reinie Erne

7. Coordinate Systems with Respect to a Triangle
O. Bottema, Reinie Erne

8. The Area of a Triangle as a Function of the Barycentric Coordinates of Its Vertices
O. Bottema, Reinie Erne

9. The Distances from a Point to the Vertices of a Triangle
O. Bottema, Reinie Erne

10. The Simson Line
O. Bottema, Reinie Erne

11. Morley’s Triangle
O. Bottema, Reinie Erne

12. Inequalities in a Triangle
O. Bottema, Reinie Erne

13. The Mixed Area of Two Parallel Polygons
O. Bottema, Reinie Erne

14. The Isoperimetric Inequality
O. Bottema, Reinie Erne

15. Poncelet Polygons
O. Bottema, Reinie Erne

16. A Closure Problem for Triangles
O. Bottema, Reinie Erne

17. A Class of Special Triangles
O. Bottema, Reinie Erne

18. Two Unusual Conditions for a Triangle
O. Bottema, Reinie Erne

19. A Counterpart for the Euler Line
O. Bottema, Reinie Erne

20. Menelaus’s Theorem; Cross-Ratios and Reciprocation
O. Bottema, Reinie Erne

21. The Theorems of Desargues, Pappus, and Pascal
O. Bottema, Reinie Erne

22. Inversion
O. Bottema, Reinie Erne

23. The Theorems of Ptolemy and Casey
O. Bottema, Reinie Erne

24. Pedal Triangles; Brocard Points
O. Bottema, Reinie Erne

25. Isogonal Conjugation; the Symmedian Point
O. Bottema, Reinie Erne

26. Isotomic Conjugation
O. Bottema, Reinie Erne

27. Triangles with Two Equal Angle Bisectors
O. Bottema, Reinie Erne

28. The Inscribed Triangle with the Smallest Perimeter; the Fermat Point
O. Bottema, Reinie Erne

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