![]() for creating various centers of triangles constructed in the half-plane. Additional Catalan-language descriptions and a hyperbolic-geometry workshop guide are available here.Īn earlier half-plane model, by Dan Bennett and referenced in Thomas Sibley's Instructor's Resource Guide for The Geometric Viewpoint (Addison Wesley, 1997), is available here. A line through two points in this model is a semicircle whose center is on. ![]() How does this endpoint move when you drag it with the Selection. Finally, the author's Hyperbolic Isometries sketch provides tools for constructing rotations, dilations, and translations in the half-plane model. Draw a segment with one endpoint on top of another segment or circle. The Hyperbolic Triangles sketch depicts the same hyperbolic geometry model and contains Custom Tools for creating various centers of triangles constructed in the half-plane. In this paper, we examine and evaluate several new mathematical representations developed for The Geometer’s Sketchpad v5 (GSP5) from the perspective of their dynamic mathematical and pedagogic. This Half-Plane Model of Hyperbolic Geometry sketch (by Judit Abardia Bochaca) depicts the hyperbolic plane and contains Custom Tools to create constructions in the upper half-plane. How many lines do you think there are through point E parallel to CD? ![]() The figure below shows a line CD and another line through point E, parallel to CD (i.e., the lines don't intersect). If one point is directly above the other, the semicircle is replaced by a vertical ray with its endpoint on the boundary line. A "line" through two points in this model is a semicircle whose center is on the boundary line. In the half-plane model of hyperbolic geometry, we consider points on one side of a horizontal boundary line.
0 Comments
Leave a Reply. |
Details
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |