**Liu Hui** (fl. 3rd century) was a mathematician of the state of Cao Wei during the Three Kingdoms period of Chinese history. In 263, he edited and published a book with solutions to mathematical problems presented in the famous Chinese book of mathematics known as *The Nine Chapters on the Mathematical Art* (九章算术).

He was a descendant of the Marquis of Zixiang of the Han dynasty, corresponding to current Zixiang township of Shandong province. He completed his commentary to the *Nine Chapters* in the year 263.

He probably visited Luoyang, and measured the sun's shadow.

Read more about Liu Hui: Mathematical Work

### Other articles related to "liu hui, hui, liu":

**Liu Hui**- Mathematical Work

... Along with Zu Chongzhi (429–500),

**Liu Hui**was known as one of the greatest mathematicians of ancient China ...

**Liu Hui**expressed all of his mathematical results in the form of decimal fractions (using metrological units), yet the later Yang

**Hui**(c ...

**Liu**provided commentary on a mathematical proof identical to the Pythagorean theorem ...

**Liu Hui**'s π Algorithm -

**Liu Hui**'s π Inequality

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**Liu Hui**proved an inequality involving π by considering the area of inscribed polygons with N and 2N sides ... circle is taken to be 1, then we have

**Liu Hui**'s π inequality ...

History Of Geometry - Chinese Geometry -

... and commented on by the 3rd century mathematician

*The Nine Chapters On The Mathematical Art*... and commented on by the 3rd century mathematician

**Liu Hui**from the Kingdom of Cao Wei ... The editor**Liu Hui**listed pi as 3.141014 by using a 192 sided polygon, and then calculated pi as 3.14159 using a 3072 sided polygon ... This was more accurate than**Liu Hui**'s contemporary Wang Fan, a mathematician and astronomer from Eastern Wu, would render pi as 3.1555 by using 142⁄45 ...**Liu Hui**'s π Algorithm

...

**Liu Hui**'s π algorithm was invented by

**Liu Hui**(fl ...

**Liu Hui**was not satisfied with this value ...

**Liu Hui**was the first Chinese mathematician to provide a rigorous algorithm for calculation of π to any accuracy ...

**Liu Hui**'s π Algorithm - Significance of

**Liu Hui**'s Algorithm

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**Liu Hui**'s π algorithm was one of his most important contributions to ancient Chinese mathematics ...

**Liu Hui**was able to obtain both his upper limit 3.142704 and lower limit 3.141024 with only an inscribed 96-gon ... Furthermore, both the

**Liu Hui**limits were tighter than Achimedes's 3.140845 < 3.141024 < π < 3.142704 < 3.142857 ...

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