A Triangle with Distinguished Concyclic Points : Instruction of Geometry by Use of a Drawing Game on a Display

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概要

• 論文の詳細を見る

• An effective use of a computer makes mathematics classes much more interesting and motivates many students to learn. In elementary geometry we have five significant notions for a triangle; that is, the center of gravity, the incenter, the excenter, the circumcenter and the orthocenter. Concerning those five points we have a natural problem. Find a property of a triangle on the plane such that some of those five points and two vertices lie on a common circle. In this paper we present a drawing game for a student to find a solution to the above problem with fun, and obtain some results from our various experiments.

• 香川大学の論文
• 2006-03-31

著者

• 深石 博夫

  Department Of Mathematics Faculty Of Education Kagawa University

• 松島 亜紀子

  Okayama Prefectural Goverment

• 藤田 和憲

  Department of Mathematics, Faculty of Education, Kagawa University

• 松島 亜紀子

  Graduate School of Education, Kagawa University

関連論文

• A Locus of the Orthocenter of a Pedal Triangle : Instruction of Geometry by Use of a Drawing Game on a Display
• Alternative Geometric Proofs of Theorems for Concyclic Points for a Triangle
• A Triangle with Distinguished Concyclic Points : Instruction of Geometry by Use of a Drawing Game on a Display
• A Triangle with Three Distinguished Collinear Points : Instruction of Geometry by Use of a Drawing Game on a Display
• A Locus of the Orthocenter of a Triangle : Instruction in Geometry by a Moving Locus on a Computer
• From the Topics of Fractal Geometry

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