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ID 48467
file
title alternative
STEM Materials Derived from the Cycloid
creator
Saito, Toshio
subject
cycloid
STEM material
サイクロイド
STEM教材
abstract
A cycloid is a plane curve obtained as the locus of a point fixed on a circle, when the circle rolls on a straight line without slipping. Similar plane curves can be considered if we replace a base line with other curves such as parabola, hyperbola, circles. Conversely, we examine the inverse problem. That is, for a given curve, what is the base for which a fixed point on a rolling circle yields the curve as the locus? In general, this is hard to solve, but we discuss two approaches from viewpoints of differential equation and geometry. For the latter, we propose an implementation for the computational software Mathematica.
description
本研究はJSPS科研費JP17H00820の助成を受けたものである。
journal title
Bulletin of the Graduate School of Education, Hiroshima University. Part. II, Arts and science education
issue
Issue 68
start page
1
end page
9
date of issued
2019-12-20
publisher
広島大学大学院教育学研究科
issn
1346-5554
ncid
language
jpn
nii type
Departmental Bulletin Paper
HU type
Departmental Bulletin Papers
DCMI type
text
format
application/pdf
text version
publisher
department
Graduate School of Education
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