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trochoid : ウィキペディア英語版
trochoid

A trochoid (from the Greek word for wheel, "trochos") is the curve described by a fixed point on a circle as it rolls along a straight line. The cycloid is a notable member of the trochoid family. The word "trochoid" was coined by Gilles de Roberval.
==Basic description==
As a circle of radius ''a'' rolls without slipping along a line ''L,'' the center ''C'' moves parallel to ''L,'' and every other point ''P'' in the rotating plane rigidly attached to the circle traces the curve called the trochoid. Let ''CP = b''. Parametric equations of the trochoid for which ''L'' is the x-axis are
:x = a\theta - b \sin(\theta) \,
:y = a - b \cos(\theta) \,
where ''θ'' is the variable angle through which the circle rolls.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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