Bulletin of the Graduate School of Education, Hiroshima University. Part. II, Arts and science education Issue 68
2019-12-20 発行

サイクロイドから派生したSTEM教材

STEM Materials Derived from the Cycloid
Saito, Toshio
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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。
subject
cycloid
STEM material
サイクロイド
STEM教材