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Chinese observations on the length of the
                                         shadow of a vertical pillar, made thousands
                                         of years before the Christian era, in summer
                                         and winter.
                                            There are other reasons why we must
                                         be tolerant of the crude notions of the an-
                                         cients. The historian, wishing to give credit
                                         wherever it may be due, is met by two dif-
                                         ficulties. Firstly, only a few records of very
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