This quantity is a constant regardless the positions of the linkage. End of Proof. O, we have a mechanism that converts circular motion to linear motion. However, neither one is practical as such device. The guided piston with modern lubricants is much more efficient.
Many special curves are mutual inversions.
See the table at Curve Family Index . Inversion Graphics Gallery Related Web Sites see Generic Reference Page . MacTutor Famous Curve Index Wilson Stothers. Wilson's Inversive Geometry. A detailed 5 page tutorial on Peaucellier linkage.