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" ... A simple illustration showing the basic elements of Ptolemaic astronomy. It shows a planet rotating ... [+] on an epicycle which is itself rotating around a deferent inside a crystalline sphere. The center of the system is marked with an X, and the earth is slightly off of the center. Opposite the earth is the equant point, which is what the planetary deferent would actually rotate around. Distances have been exaggerated as has the simplicity for the purposes of illustration. ... "
" ... In this case the point C is not the same for the various outer planets. But if you add the epicycle's angular velocity (β′) to the angular velocity of the deferent (α′− β′), you get a common answer (α′) for all the outer planets, which is also with the angular velocity of the deferents for the inner planets! This remarkable coincidence in the geocentric model finds a perfectly natural explanation in the heliocentric scheme. ... "