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Kissing a Cycloid (Posted on 2010-01-04) Difficulty: 3 of 5
Let L and N be adjacent cusps of a cycloid.
Let P be a point on the cycloid between L and N.

Construct with straightedge and compass the tangent line to the cycloid at point P.

See The Solution Submitted by Bractals    
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re(2): Solution | Comment 4 of 11 |
(In reply to re: Solution by Dej Mar)

Euclid proved that with a straightedge a collapsing compass can perform any construction that can be done with a non-collapsing compass. It just takes more operations.
  Posted by Bractals on 2010-01-11 18:01:08

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