这篇文章试图给出称球问题的一个一般的和严格的解答。正因为需要做到 一般和严格，就要考虑许多平时遇不到的特别情形，所以叙述比较繁琐。如果对读者 对严格的证明没有兴...

这篇文章试图给出称球问题的一个一般的和严格的解答。正因为需要做到 一般和严格，就要考虑许多平时遇不到的特别情形，所以叙述比较繁琐。如果对读者 对严格的证明没有兴趣，可以只阅读介绍问题和约定记号的第一、第二节，以及第三 节末尾27个球的例子，和第五节13个球和40个球的解法。事实上所有的技巧都已经表 现在这几个例子里了。-said the ball is a general problem and the strict answer. It is precisely because of the need for general and strictly, it is necessary to consider many peacetime on without coming to the special circumstances, the narrative is relatively more complicated. If the reader to the strict proof of a lack of interest can only read and agreed on the first mark, II, III and the end of 27 examples of the ball, and V 13 balls and 40 balls in the paper. Indeed, all the skills have been reflected in several of the examples.