.... many methods - especially in astronomical clocks - need the two components of the Equation of be added together. This shows the common means to do so.
Cams and Profiles
.... cams are the commonest way to convert the Equation of time to linear motion.
Gears & Astronomical Clocks
.... two gears can simulate the Equation of Time with some accuracy. Three gears could do better.
.... the Lusby Taylor method to generate the Equation of Time.
.... in the 17th - 19th C, many clocks were provided with an Equation of Time mechanism. In the absence of time signals, this allowed the clock to set using a sundial.
.... this page for the very rich!