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TU Berlin

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Research on Dayan Seeking Unity Method

Paul Bicker (Liechtenstein)

In this paper will be many arguments and features from the original words and Diagrams of the Sushu Jiazhang (Mathematical Treatise in Nine Sections), (1247) discussed.

The conclusion is that these features motivated Qin Jiushao to improve the old method by ancient calendar makers to a perfect one - the Dayan Seeking UnityMethod.

An interesting new property is also presented and proved:
In all diagrams of the Dayan Seeking Unity Method is valid: Multiply thefigure In the upper-left corner with the figure in the lower-right corner and addthe product of the figures in lower-left corner and upper-right corner. The result is always the figure dingshu in the lower-right corner in the first diagram.

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