Table of Contents

Preface; Introduction; 1. Cleavers and splitters; 2. The orthocenter; 3. On triangles; 4. On quadrilaterals; 5. A property of triangles; 6. The Fuhrmann circle; 7. The symmedian point; 8. The Miquel theorem; 9. The Tucker circle; 10. The Brocard points; 11. The orthopole; 12. On cevians; 13. The theorem of Menelaus; Suggested reading; Solutions to the exercises; Index.