Eccentric circles and epicycles

Some 150 years after Eudoxus, Apollonius of Perga (who spent most of his life in Alexandria and is now most famous for his work on conic sections) devised a new solution to Plato's challenge of saving the phenomena using uniform circular motions. No astronomical works of Apollonius survive; we know of his writing only through the later work of Ptolemy. It was well known that Eudoxus' scheme of homocentric spheres failed to account for certain readily observable phenomena (e.g. the varying brightness of the planets) and Apollonius suggested a scheme based on eccentric circles and epicycles in order

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