Hosted by The Math Forum
Problem of the Week 1194
A Classic Linkage
Consider a unit circle centered at the origin and a linkage with one point,
O, fixed at (-1, 0) and with point B restricted to wandering around the circle. The linkage has six segments, OA and OC have a given length d (4/3 < d < 4), while AB, BC, CD, and DA all have length d/2; ABCD is a rhombus.
What is the locus of D as B moves around the circle?
[View the solution]