论"盈不足术"与"弦位法"的一致性

我国数学史上有一部堪与古希腊欧几里德的《几何原本》相媲美的书,这就是被尊为算经之首的《九章算术》,《九章算术》中第七章“盈不足术”是中国古代数学中独立创造的解决数学问题的一种杰出算法,而这种算法被西方人称之谓“弦位法”或“双设法”.从实例出发,阐述“盈不足术”与高等代数中“弦位法”的一致性.

On the Consistency of "Full of the Insufficient Skill" and "Location Law of the String"

In the history of Chinese mathematics, there is a book named Nine Chapters on Mathematical Procedures. It is regarded as important as "Geometry Script." written by Euclid, an ancient Greek mathematician. The Seventh part of the "Nine chapter Arithmetic", "Full of the sufficient skill" was invented independently by ancient Chinese people in solving mathematic problems. The western people call this great algorithm as "Location law of the string" or "Double Tries". This paper probes into the consistency between "Full of the insufficient skill" and "Location law of the string" of higher algebra basing on several examples.