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to have a bar with one end centred at the
                                         earth. If at the other end of the bar one
                                         end of a shorter bar is pivotted, having the
                                         planet at its other end, then the planet is
                                         given an annual motion in the secondary
                                         circle (the epicycle), whose centre revolves
                                         round the earth on the primary circle (the
                                          deferent ), at a uniform rate round the ex-
                                         centric. Ptolemy supposed the centres of
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