“0.6折合法”在先秦、秦汉农业生产中计量的应用

On the Application of "0.6 Conversion Method" to the Agricultural Calculation in the Pre-Qin,the Qin and the Han Dynasty

“0 6”确实是个神秘而有趣的数字 ,古希腊人很早就发现了它 ,并把它作为全线段中两部分比———“中末比”的“黄金分割数” ;现代优选学中的“黄金分割法” ,也是在这个数字的基础上发展起来的 ,并直接称为“0 6 18法”。而我国战国、秦汉时期的古人 ,却把这一部分与全体之比为0 6的折合法 (或曰“六折算法”)实际应用于农业生产的谷物权衡、容量的大、小石折算和耕地面积的大、小亩折算中。循此 ,可以帮助我们对史料中一些有争议的疑难问题作进一步的探讨。

0.6' is really a mysterious and interesting number. The ancient Greeks noticed it and used it as a ratio (as a golden section number) from which the modern 'golden section method' of optimization originated and it is called '0.618 method' today. The Chinese in the Warring Period, the Qin and the Han Dynasty used 0.6 conversion method in their calculation of agricultural production in relation to weight, volume and area. An understanding of this can help us solve some historical problems in dispute.