Recently, I prepared a short slide presentation for a trig class that I was taking on how equations for the apparent orbits of superior planets in the Ptolemaic system can be resolved with the apparent position of the planets in the Copernican system. I have expanded that slide presentation out to a 42 slide version for use in an astronomy club setting. Although the slide presentation may be of less use to other amateurs because it is heavy on using parametric equations to illustrate how Ptolemaic orbits were plotted using prolate epitrochoids. But I also prepared a series of animated gifs to illustrate the difference of the motion of the planets in each system. Those animations may be of use to other amateurs in preparing their own presentations. Presentation directory http://fisherka.csolutionshosting.net/astronote/astromath/Ptolemy/ Gif Animation: General Prolate Epitrochoid Compared to Ptolemaic Jupiter "orbit" or apparent position as seen from Earth http://fisherka.csolutionshosting.net/astronote/astromath/Ptolemy/Fig08epitr... Gif Animation: Ptolemaic apparent motion or "orbit" of Mars as seen from Earth http://fisherka.csolutionshosting.net/astronote/astromath/Ptolemy/Fig12Marsa... Gif Animation: Ptolemaic apparent motions or "orbits" of the Sun, Mars and Jupiter as seen from Earth http://fisherka.csolutionshosting.net/astronote/astromath/Ptolemy/Fig22Ptole... Gif Animation: Copernican orbits of Sun, Mars and Jupiter http://fisherka.csolutionshosting.net/astronote/astromath/Ptolemy/Fig26Coper... Gif Animation: Ptolemaic and Copernican orbits of the Sun, Earth, Mars and Jupiter compared http://fisherka.csolutionshosting.net/astronote/astromath/Ptolemy/Fig27Ptole... Slide presentation "Ptolemy-Copernican Debate" http://fisherka.csolutionshosting.net/astronote/astromath/Ptolemy/PtolemyCop... Corrections and comments are welcomed. Clear Skies, Kurt P.S. - The slide presentation covers the same ground that Dr. Decaria's presentation on Galileo covered at a SLAS meeting a couple of years ago, except with a heavier math emphasis.