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Straight Line motion with rigid sets
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Straight Line motion with rigid sets
classification
math.MG
keywords
linecirclegivenmotionplanerigidstraighttriangle
read the original abstract
If one is given a rigid triangle in the plane or space, we show that the only motion possible, where each vertex of the triangle moves along a straight line, is given by a hypocycloid line drawer in the plane, and a natural extension in three-space. Each point lies on a circle which rolls around, without slipping, inside a larger circle of twice its diameter.
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