Construction of the double elements of two ranges of points on the same circle.
[b]→1) Double points of two ranges on a circle[/b]
2) Double rays from a point: [url]http://www.geogebratube.org/material/show/id/35600[/url]
3) Double points on a line: [url]http://www.geogebratube.org/material/show/id/35633[/url]
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This is problem #60 in Heinrich Dorrie's [i]100 Great Problems of Elementary Mathematics[/i].