The equant is an off-center point around which a circle moves with uniform
angular velocity, creating a non-uniform motion around the center.
When the point moving on the equant -- here the Sun but usually
an epicycle -- is closer to the equant it will travel slower with respect to the
Here's it's highly exaggerated so you can't miss it. Most
often, as the equants are generally quite small, it's noticeable only in the relationship
with the sun's orbit: the equant angle will appear
to wobble back and forth around the mean sun, as in
Ptolemy's model of Venus
Together the eccentric and equant can be thought of as an approximation of Kepler's
second law, in which an elliptical orbit sweeps out an equal area per unit time,
rather than an equal distance.