Hart's Inversor

$\begin{figure}\begin{center}\BoxedEPSF{Harts_Linkage.epsf}\end{center}\end{figure}$

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. Coxeter (1969, p. 428) shows that if $AO=\mu AB$ , then

$\begin{displaymath} OP\times OP' = \mu(1-\mu)(AD^2-AB^2). \end{displaymath}$

See also Peaucellier Inversor

References

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.

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