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general angle division

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general angle division

Hello everyone.

I am looking for a geometrical solution of the General Angle division (namely, the problem of dividing an arbitrary angle into any number of parts) involving the cycloid.

I am interested in a purely geometrical construction (which avoids, in other words, recourse to calculus or analytic geometry), since I am interested in the use of the cycloid during mid XVIIth century, when its analytic expression had not been developed yet.

Thank you in advance for your help,
Davide


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