Book:Yang Hui/Xiangjie Jiuzhang Suanfa/Historical Note

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Historical Note on Xiangjie Jiuzhang Suanfa

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.