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| | FastGeometry (Site not responding. Last check: 2007-10-21) |
 | | Given two parallel lines, both tangent to the shape at any two given distinct points on "opposite" sides, they will always be of the same distance apart. |
 | | The simplest form of this interesting shape, shown above, can be constructed by starting with an equilateral triangle and then drawing arcs with radii equal to the sides, centered at the vertices and just outside the opposite edge, intersecting and terminating at the two ends of the edge, i.e. |
 | | In this case, the radii of the arcs, or rather the width of the shape, are equal to the distance from any given vertex to the farthest of the other vertices. |
| www.fastgeometry.com /Reuleaux/Reuleaux_Intro.htm (367 words) |
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