| Popis: |
Almost 50 years ago, Arthur Coxford and I developed a high school geometry course in which geometric transformations were fundamental to the mathematical development. Properties of reflections and size changes (dilations) were taken as postulates and used to deduce properties of symmetric figures, the traditional theorems of triangle congruence and similarity, and develop the relationships among the various types of isometries. In Continuous Symmetry: From Euclid to Klein, Roger Howe and William Barker also approach Euclidean geometry through transformations. The similarities and differences in these approaches are examined in this paper. |
