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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: Improved Solution | Comment 9 of 11 |
(In reply to Improved Solution by Harry)

Don't worry about the compass.

Any construction that can be done with straightedge and non-collapsing compass can be done with straightedge and collapsing compass - it just takes more operations.

  Posted by Bractals on 2010-01-13 16:58:34
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