cover -- copyright page -- title page -- Preface -- Contents -- A Quick Review of Elementary Euclidean Geometry -- Measurement and congruence -- Angle addition -- Triangles and triangle congruence conditions -- Separation and continuity -- The exterior angle theorem -- Perpendicular lines and parallel lines -- The Pythagorean theorem -- Similar triangles -- Quadrilaterals -- Circles and inscribed angles -- Area -- The Elements of GeoGebra -- Getting started: the GeoGebra toolbar -- Simple constructions and the drag test -- Measurement and calculation -- Enhancing the sketch -- The Classical Triangle Centers -- Concurrent lines -- Medians and the centroid -- Altitudes and the orthocenter -- Perpendicular bisectors and the circumcenter -- The Euler line -- Advanced Techniques in GeoGebra -- User-defined tools -- Check boxes -- The Pythagorean theorem revisited -- Circumscribed, Inscribed, and Escribed Circles -- The circumscribed circle and the circumcenter -- The inscribed circle and the incenter -- The escribed circles and the excenters -- The Gergonne point and the Nagel point -- Heron's formula -- The Medial and Orthic Triangles -- The medial triangle -- The orthic triangle -- Cevian triangles -- Pedal triangles -- Quadrilaterals -- Basic definitions -- Convex and crossed quadrilaterals -- Cyclic quadrilaterals -- Diagonals -- The Nine-Point Circle -- The nine-point circle -- The nine-point center -- Feuerbach's theorem -- Ceva's Theorem -- Exploring Ceva's theorem -- Sensed ratios and ideal points -- The standard form of Ceva's theorem -- The trigonometric form of Ceva's theorem -- The concurrence theorems -- Isotomic and isogonal conjugates and the symmedian point -- The Theorem of Menelaus -- Duality -- The theorem of Menelaus -- Circles and Lines -- The power of a point -- The radical axis -- The radical center.

Applications of the Theorem of Menelaus -- Tangent lines and angle bisectors -- Desargues' theorem -- Pascal's mystic hexagram -- Brianchon's theorem -- Pappus's theorem -- Simson's theorem -- Ptolemy's theorem -- The butterfly theorem -- Additional Topics in Triangle Geometry -- Napoleon's theorem and the Napoleon point -- The Torricelli point -- van Aubel's theorem -- Miquel's theorem and Miquel points -- The Fermat point -- Morley's theorem -- Inversions in Circles -- Inverting points -- Inverting circles and lines -- Othogonality -- Angles and distances -- The Poincaré Disk -- The Poincaré disk model for hyperbolic geometry -- The hyperbolic straightedge -- Common perpendiculars -- The hyperbolic compass -- Other hyperbolic tools -- Triangle centers in hyperbolic geometry -- References -- Index -- About the Author.