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38 | 其論歲實小餘及日食變差尤明晰。曰:「歲實小餘,自漢迄元漸次消減。今新法定用歲實,更減於元。不知者必謂不惟先天,更先《大統》。乃以推壬申冬至,《大統》得已亥寅正一刻,而新法得辰初一刻十八分。何也?蓋正歲年與步月離相似,冬至無定率,與定朔、定望無定率一也。朔望無定率,宜以平朔望加減之,冬至無定率,宜以平年加減之。故新法之平冬至,雖在《大統》前,而定冬至恒在《大統》後也。」又曰:「宋仁宗天聖二年甲子歲,五月丁亥朔,曆官推當食不食,諸曆推算皆云當食。夫於法則實當食,而於時則實不食。今當何以解之?蓋日食有變差一法,月在陰曆,距交十度強,於法當食。而獨此日此之南北差,變為東西差,故論天行,則地心與日月相參直,實不失食。而從人目所見,則日月相距近變為遠,實不得食。顧獨汴京為然,若從汴以東數千里,則漸見食,至東北萬餘里外,則全見食也。夫變差時不同,或多變為少,或少變為多,或有變為無,或無變為有。推曆之難,全在此等。」未幾,光啟入愉閣。 |
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