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Sylvester's Isoklinostat

© Copyright 2003, Jim Loy

This interactively demonstrates the actual trisection of an angle, invented by J. J. Sylvester in 1875. Move the bright red dot in order to change the angle. All of the red dots are fixed hinges. This is another method of tripling an angle.

Please enable Java for an interactive construction (with Cinderella).

Notice that not all of the angles are equal, even though the three important angles are equal. In this demonstration, the short segments are all equal, although they needn't be. The segments that bow outward must all be equal, and the ones that bow inward must be equal. But the two types need not be equal to each other. Making them equal just made the construction easier to do.

The above Java interactive demonstration was created with Cinderella (a geometry program).


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