幾何教材の背景としての線形理論 : 相似と相似変換

広島大学教育学部紀要. 第二部 Issue 46 Page 41-49 published_at 1998-03-13
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Title ( jpn )
幾何教材の背景としての線形理論 : 相似と相似変換
Title ( eng )
Linear Theory as a Background of Geometric Teaching Materials : Similarity and Similar Transformations
Creator
Source Title
広島大学教育学部紀要. 第二部
Bulletin of the Faculty of Education, Hiroshima University. Part 2
Issue 46
Start Page 41
End Page 49
Abstract
In this paper, we show a process of similarity in the framework of linear theory. Similarity of figures is one of the fundamental concepts in Euclidean geometry, and an elementary definition of it uses the notion of a site or a center of similarity. Another definition of similarity is given using a similar transformation, which enables us to consult methods developed in linear algebra. We investigate a relation between such definitions, and the effect of the comparison. Main subjects include the following:

How to find a cite and a center of similarity for given similar figures;

how to apply properties of the orthogonal transformation to the study of similarity.

Linear algebra is a well investigated subject in mathematics, which has given us an abundant idea for linear theory. The purpose of our study is to describe functions of linear algebra as a background of fundamental properties of figures.
NDC
Education [ 370 ]
Language
jpn
Resource Type departmental bulletin paper
Publisher
広島大学教育学部
Date of Issued 1998-03-13
Publish Type Version of Record
Access Rights open access
Source Identifier
[ISSN] 0440-8713
[NCID] AN0021336X