At last: geometry in an exemplary, accessible and attractive form! The authors emphasise both the intellectually stimulating parts of geometry and routine arguments or computations in concrete or classical cases, as well as practical and physical applications. They also show students the fundamental concepts and the difference between important results and minor technical routines. Altogether, the text presents a coherent high school curriculum for the geometry course, naturally backed by numerous examples and exercises.

Inhalt

Introduction. 1: Distance and Algebra. 2: Coordinates. 3: Area and the Pythagoras Theorem. 4: The Distance Formula. 5: Some Applications of Right Triangles. 6: Polygons. 7: Congruent Triangles. 8: Dilations and Similarities. 9: Volumes. 10: Vectors and Dot Product. 11: Transformations. 12: Isometries. Index.