This video was made based on the design numbered as 1006 in volume 2, Mechanisms in modern technic, I. Artobolevski.
Orange and violet sliders are connected together by a revolution joint.
When blue frame translates, center point of orange slider traces a hyperbola.
Its equation: y = (a.x) / (d–x)
a is distance between A and B.
d is distance between A and F in horizontal direction (width of the frame).