Euclidean and transformational geometry : a deductive inquiry The treasure island problem The nine point circle Morleys theorem The hikers path The shortest highway Steiners minimum distance problem The Pythagorean theorem Congruence constructions and the parallel postulate Angles and their measurement Congruence of triangles The parallel postulate and its consequences More on construction Circles Basic properties of arcs central and inscribed angles Circles inscribed in polygons More on constructions Area and the pythagorean theorem Areas of polygons The Pythagorean theorem The distance formula Similarity Ratio proportion and similar polygons Further applications of the side splitting theorem and similarity Areas of similar figures The golden ratio and the construction of a regular pentagon Circumference and area of a circle Other recursive formulas for evaluating [pi] Trigonometric functions Isometries Reflections translations and rotations Congruence and Euclidean constructions More on extremal problems Similarity transformation with applications to constructions Composition of transformations and transformation groups In search for new isometries Composition of rotations the treasure island problem and other treasures More recent discoveries The nine point circle and other results Complex numbers and geometry