臺灣博碩士論文加值系統

This paper aims at problems of structure in Eucliean space by using Cabri 3D. Cabri 3D is a Software to model these problems. Let us observe properties of structure more easily. And we exploit Cabri 3D to draw figures and design a drawing process. The problem of structure we discuss is the “transitivity of central projection” in three-dimensional space. Since not all triangles with Central Projection have transitivity, so we propose a sufficient condition and discuss some properties. We start from two-dimensional view to three-dimensional view. Further, we discuss locus of three triangles with Central Projection pairwisely.

Abstract 4
Introduction 5
Chapter1. Definition of Central Projection 6
Chapter2. Two-Dimensional View 7
Chapter3. Three-Dimensional View 10
Chapter4. Locus 13
References 20

[1] I.M. Yaglom; Translated by Abe Shenitzer, Geometric Transformations III, pp.20-22
[2] I.M. Yaglom; Translated by Abe Shenitzer, Geometric Transformations III, pp.175-158
[3] Coxeter, Harold Scott MacDonald (1969), Introduction to Geometry, New York: John Wiley & Sons
[4] Hilbert, David; Cohn-Vossen, Stephan (1952), Geometry and the Imagination, Chelsea, pp. 119–128