A Testify and Study on Shibie Za Ji of Liye's Ce Yuan Hai Jing(Sea Mirror of Circle Measurment)

Sun Hong-qing · Journal of Guangxi University for Nationalities · 2006

Some scholars believe that Shi Bie Za Ji(Notes on Discernment)of Li Ye's Ce Yuan Hai Jing(Sea Mirror Of Circle Measurements)is a perfect axiomatic system,and it can't be reached only from data.We think that incomplete induction is a efficient way to find out such a large number of equations because of the characteristics of Yuan Chen Tu Shi(圆城图式).This paper will give some reasons to support the opinion above.Furthermore,We have done an experiment on computer to testify Shi Bie Za Ji,and another experiment to see the accuracy of using incomplete induction on Yuan Chen Tu Shi(圆城图式).

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