# Book:Yang Hui/Xiangjie Jiuzhang Suanfa

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## Yang Hui:

## Yang Hui: *Xiangjie Jiuzhang Suanfa*

Published $\text {1261}$

In English:

*Arithmetic in Nine Sections*

### Subject Matter

### Contents

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## 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.

## Sources

- 1992: David Wells:
*Curious and Interesting Puzzles*... (previous) ... (next): Sun Tsu Suan Ching