Geometric Construction 8
|
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 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.
|
|
|
|
|
|
|
