关于一次不定方程問題,从一般数学史書中查考出來,知道它最早見于希臘丢番都(約在第四世紀)的著作中。丢氏处理这些方程,一題有一题的特殊解法,而沒有一个共通的法則。直到十八世紀中,欧洲数学大师欧拉(1707—1783)才創立了一次不定方程的一般解法。然而,我們就中國数学史來查考一下,在丢番都以前数百年的“九章算术”書中,有一个“五家共井”的問題;比丢番都可能 On the question of an indefinite equation, it is examined from the general history of mathematics and it is known that it was first seen in the work of the Greek Diputi (circa the fourth century). Direc handles these equations. There is a special solution to the problem. There is no common rule. Until the middle of the eighteenth century, European mathematician Euler (1707-1783) created a general solution to the indefinite equation. However, when we look at the history of Chinese mathematics, in the book “Nine Chapters of Arithmetic” in the previous decades of Diputation, there is a problem of “five total wells”;