Euclidean Geometry and Transformations"A good textbook." ? Mathematical Gazette. This introduction to Euclidean geometry emphasizes both the theory and the practical application of isometries and similarities to geometric transformations. Each chapter begins with an optional commentary on the history of geometry. Contents include modern elementary geometry, isometries and similarities in the plane, vectors and complex numbers in geometry, inversion, and isometries in space. Numerous exercises appear throughout the text, many of which have corresponding answers and hints at the back of the book. Prerequisites for this text, which is suitable for undergraduate courses, include high school algebra, geometry, and elementary trigonometry. 1972 edition. |
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algebra altitude analytic angle Answer apply assume base called chapter circle collinear commute compass complex numbers concur condition congruent Consider construct corresponding defined Definition denote determinant diagonals diameter direct distance divides Draw Elementary equal equation example Exercise Exercise Set factored Figure Find fixed point four geometry given given triangle glide-reflection halfturn Hence homothety ideal intersection inverse involutoric isometry isosceles length lies maps mathematics medians meet Menelaus midpoint mirror multiplication obtain opposite origin pair parallel parallelogram passes perpendicular perpendicular bisector plane Problem proof properties Prove Theorem radius ratio reflection respect result right triangle rotation segment Show sides similar Similarly space square tangent theorem follows third transformation translation triangle ABC true unit vector vertex vertices write written