Curve of Constant Width
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Curve of Constant Width

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In geometry, a curve of constant width is a convex planar shape whose width, defined as the distance between two opposite parallel lines touching its boundary, is the same regardless of the direction of those two parallel lines. One defines the width of the curve in a given direction to be the perpendicular distance between the parallels perpendicular to that direction. More generally, any compact convex planar body D has one pair of parallel supporting lines in a giv...