An exercise machine for exercising the lower body, the upper body, or both simultaneously. The mechanism consists of a crank, a rocker, a connector link, and a stationary fourth link so arranged as to cause a portion of the connector link to travel about a closed curve resembling an ellipse, a tear drop shape, or any variation thereof. A flywheel and/or force resisting means may be added to provide inertial characteristics and drag resistance to the operator.