Excerpt from A Treatise on the Cycloid and All Forms of Cycloidal Curves, and on the Use of Such Curves

It is of these curves, which are all included under the general name epicyclical curves, that I treat in the present volume, though the cycloid, epicycloid, hypocycloid, and trochoid are more fully dealt with in their geometrical aspect, than the epitrochoidal and spiral members of the epicyclic family.

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