商品描述
Among the many beautiful and nontrivial theorems in geometry found in Geometry Revisited are the theorems of Ceva, Menelaus, Pappus, Desargues, Pascal, and Brianchon. A nice proof is given of Morley's remarkable theorem on angle trisectors. The transformational point of view is emphasized: reflections, rotations, translations, similarities, inversions, and affine and projective transformations. Many fascinating properties of circles, triangles, quadrilaterals, and conics are developed.
商品描述(中文翻譯)
在《幾何再探》中，有許多美麗且非平凡的幾何定理，包括Ceva定理、Menelaus定理、Pappus定理、Desargues定理、Pascal定理和Brianchon定理。書中對Morley的角三等分線定理提供了一個優雅的證明。強調了變換的觀點：反射、旋轉、平移、相似、反演以及仿射和射影變換。書中發展了許多圓形、三角形、四邊形和圓錐曲線的迷人特性。
