关于数分解为平方的新证明
New demonstrations about the resolution of numbers into squares
摘要：
翻译自拉丁原文“Novae demonstrationes circa resolutionem numerorum in quadrata”（1774年）。Enestrom指数中的E445。见第三章，第十一节韦伊的“数论：一种方法，通过历史”。此外，基于欧拉定理的四平方定理的一个非常清楚的证明是Hardy和Wright的定理370，“An introduction to the theory of numbers”，第五版，它使用了Hardy和Wright的定理87，但在其他方面没有假设他们书中的任何东西。几个月前，我翻译了大部分论文，并检查了那些细节，但现在只完成了最后几部分。如果有什么不清楚的，请给我发电子邮件。
英文摘要：
Translated from the Latin original "Novae demonstrationes circa resolutionem numerorum in quadrata" (1774). E445 in the Enestrom index. See Chapter III, section XI of Weil's "Number theory: an approach through history". Also, a very clear proof of the four squares theorem based on Euler's is Theorem 370 in Hardy and Wright, "An introduction to the theory of numbers", fifth ed. It uses Theorem 87 in Hardy and Wright, but otherwise does not assume anything else from their book. I translated most of the paper and checked those details a few months ago, but only finished last few parts now. If anything isn't clear please email me.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
