Book:Yang Hui/Xiangjie Jiuzhang Suanfa

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Yang Hui: Xiangjie Jiuzhang Suanfa

Published $\text {1261}$
In English:

Arithmetic in Nine Sections

Subject Matter


Also known as

Rendered in Chinese script: 详解九章算法

Historical Note

Xiangjie Jiuzhang Suanfa contains the first extant instance of Yang Hui's triangle, now known in the West as Pascal's Triangle.

The author Yang Hui acknowledged that his method of finding square roots and cube roots using Yang Hui's Triangle was invented by mathematician Chia Hsien who expounded it around $1050$ CE, about $500$ years before Blaise Pascal.

However, that work of Chia Hsien is now lost.