The epitrochoid is the path of a point rigidly attached to a circle rolling externally upon a fixed fixed circle. The hypotrochoid is the path of a point rigidly attached to a circle rolling internally upon a fixed fixed circle. Construct the trochoids according to these definitions.

Construct the tangent to the curve constructed above.

The epitrochoid is the path of a point rigidly attached to a circle rolling externally upon a fixed fixed circle. The hypotrochoid is the path of a point rigidly attached to a circle rolling internally upon a fixed fixed circle. Construct the trochoids according to these definitions.

Construct the tangent to the curve constructed above.

The epitrochoid is the path of a point rigidly attached to a circle rolling externally upon a fixed fixed circle. The hypotrochoid is the path of a point rigidly attached to a circle rolling internally upon a fixed fixed circle. Construct the trochoids according to these definitions.

Construct the tangent to the curve constructed above.

The epitrochoid is the path of a point rigidly attached to a circle rolling externally upon a fixed fixed circle. The hypotrochoid is the path of a point rigidly attached to a circle rolling internally upon a fixed fixed circle. Construct the trochoids according to these definitions.

Construct the tangent to the curve constructed above.

Construct the double generation of each of the curves constructed above.

Construct the double generation of each of the curves constructed above.

¡@

Construct the double generation of each of the curves constructed above.

¡@

Construct the double generation of each of the curves constructed above.

¡@

Construct the trochoids and their tangents according to the principle of center of gravity.

Construct the trochoids and their tangents according to the principle of center of gravity.

¡@

Construct the trochoids and their tangents according to the principle of center of gravity.

¡@

Construct the trochoids and their tangents according to the principle of center of gravity.

¡@

Construct this curve