Motion given by circular trajectory and point envelope

-----------------------

Specification of a motion

The following rules are valid for a motion given by circular trajectory τ^A of point A and point envelope (b) of straight line b:

- Point A is located on trajectory τ^A at each instant.

- Straight line b passes through the envelope (b) at each instant.

- Point A is the intersection of straight line b and trajectory τ^A.

This motion and the motion given by circular and linear trajectories are inverse motions.

Animation of a motion (motion given by circular trajectory and point envelope)

Fixed centrode (motion given by circular trajectory and point envelope)

Trajectory of a point (motion given by circular trajectory and point envelope)

Envelope of a circle

(motion given by circular trajectory and point envelope)

Envelope of a straight line (motion given by circular trajectory and point envelope)

Specification of inverse motion (motion given by circular trajectory and point envelope)

- Point A⁰ becomes the point envelope of trajectory τ^A; circle τ^A moves along the circle with centre at point A⁰ and radius equal to the radius of circle τ^A.

- Straight line b⁰ becomes the trajectory of point envelope (b).

- The distance of centre of moving trajectory τ^A and moving envelope (b) does not change during the motion.

Moving centrode (motion given by circular trajectory and point envelope)