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上半平面模型中的一些工具
Thesis

上半平面模型中的一些工具

侯杰材
Masters, National Tsing Hua University
2001

Abstract

上半平面模型Cabri Geometry非歐幾何龐加萊動態幾何uhpm.men The Upper Half-Plane ModelCabri GeometryNon-Euclidean GeometryPoincareDynamic Geometryuhpm.men
The Upper Half-Plane Model is one of hyperbolic geometry models due to Henri Poincare (the other one is known as Poincare Disk Model). The points of this model are represented by the points of the Euclidean upper half-plane consisting of all points (x,y) with y>0.This paper presents the development of some basic instruments for geometric constructions under the upper half-plane model in Cabri Geometry II, an interactive dynamic software of geometry. These tools are collected in a Cabri menu file ‘uhpm.men’. This menu file is a base for developing and researching more visual figures in non-Euclidean geometry.

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