Transformational plane geometry. (2014)

• Record Type: Book
• Further Information: Note: Ronald N. Umble, Zhigang Han.
• Authors: Umble, Ronald N; Han, Zhigang
• Contents: Axioms of Euclidean Plane Geometry; The Existence and Incidence Postulates; The Distance and Ruler Postulates; The Plane Separation Postulate; The Protractor Postulate; The Side-Angle-Side Postulate and the Euclidean Parallel Postulate Theorems of Euclidean Plane Geometry; The Exterior Angle Theorem; Triangle Congruence Theorems; The Alternate Interior Angles Theorem and the Angle Sum Theorem; Similar Triangles Introduction to Transformations, Isometries, and Similarities; Transformations; Isometries and Similarities; Appendix: Proof of Surjectivity Translations, Rotations, and Reflections ; Translations; Rotations; Reflections; Appendix: Geometer’s Sketchpad Commands Required by Exploratory Activities Compositions of Translations, Rotations, and Reflections; The Three Points Theorem; Rotations as Compositions of Two Reflections; Translations as Compositions of Two Halfturns or Two Reflections; The Angle Addition Theorem; Glide Reflections Classification of Isometries ; The Fundamental Theorem and Congruence; Classification of Isometries; Orientation and the Isometry Recognition Problem; The Geometry of Conjugation Symmetry of Plane Figures ; Groups of Isometries; Symmetry Type; Rosettes; Frieze Patterns; Wallpaper Patterns Similarity ; Plane Similarities; Classification of Dilatations; Classification of Similarities and the Similarity Recognition Problem; Conjugation and Similarity Symmetry Appendix: Hints and Answers to Selected Exercises Bibliography Index
• Edition: 1st
• Publisher Details: Boca Raton : Chapman & Hall/CRC
• Publication Date: 2014
• Extent: 1 online resource, illustrations (black and white)
• Subjects: 516.22; Geometry, Plane
• Languages: English
• ISBNs: 9781482234725; 9781498723718
• Related ISBNs: 9781482234718
• Notes: Note: Description based on CIP data; item not viewed.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.