The lengths of the links comply with the conditions: A͞B:A͞D=B͞Q:D͞P, A͞C:A͞E=C͞Q:E͞P, A͞B²+C͞Q²=A͞C²+B͞Q² and A͞D²+E͞P²=A͞E²+D͞P². Links 1 and 2 turn about fixed axis A which is the centre of inversion transformation. Link 3 is connected by turning pairs D and P to links 2 and 4. Link 4 is connected by turning pair E to link 1. Link 5 is connected by turning pairs C and Q to links 1 and 6. Link 6 is connected by turning pair B to link 2. For any configuration of the mechanism, points A, P and Q lie on a single straight line. When point P or Q travels along any arbitrary curve, the other point describes a curve which is the inversion of the first curve. Hence, the mechanism accomplishes inversion transformations of the form A͞P×A͞Q=D͞P×B͞Q-A͞B×A͞D=A͞C×A͞E-E͞P×C͞Q=const. For the specified link length relationships, the mechanism also accomplishes translation displacement of parallel straight lines DE and BC which are perpendicular to straight line APQ.
$737$LW,GI$