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loose and imperfectly supported explana-
                                         tions of all his predecessors; and the in-
                                         dulgent reader will excuse the devotion of
                                         a few lines to an example of the ingenuity
                                         and beauty of his methods.
                                            It may seem a hopeless task to find out
                                         the true paths of Mars and the earth (at
                                         that time when their shape even was not
                                         known) from the observations giving only
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