“旁要、夕桀、重差”释义

ON THE CONNOTATIVE MEANINGS OF PANGYAO, XIJIE AND CHONGCHA

探讨了旁要、夕桀和重差的含义 .认为三者都是以勾股为基础的测量术 .旁要是借方形来测量 ,夕桀是借圆形来测量 ,而在《数书九章》中重差则由原来两次测量中两对数据的差数 ,转变为勾股比率中的两个差 .

The author intends to discuss the connotative meanings of the terms of PangYao,XiJie and ChongCha and the author holds the three terms are means of measurement based on the principles of right triangles. PangYao meansures by means of square while XiJie, by circle .In Shu Shu Jiu Zhang , however, ChongCha is the difference obtained from the data in the two measurements and the difference is converted to two differences in the ratio of right triangles.