Hart's Inversor

A linkage which draws the inverse of a given curve. It can also convert circular to linear motion. The rods satisfy  and , and , , and  remain collinear while  is kept parallel to . This condition holds automatically if .

Coxeter (1969, p. 428) shows that if , then

SEREFERENCES:

Bogomolny, A. "Hart's Inversor." http://www.cut-the-knot.org/Curriculum/Geometry/HartInversor.shtml.

Courant, R. and Robbins, H. What Is Mathematics?: An Elementary Approach to Ideas and Methods. Oxford, England: Oxford University Press, p. 157, 1978.

Coxeter, H. S. M. Introduction to Geometry, 2nd ed. New York: Wiley, pp. 82-83, 1969.

Mannheim, A. "Sur l'inverseur de Hart." Messenger Math., p. 151, Nov. 1896.

Rademacher, H. and Toeplitz, O. The Enjoyment of Mathematics: Selections from Mathematics for the Amateur. Princeton, NJ: Princeton University Press, pp. 124-129, 1957.