Jia Xian (1010-1070 AD) - Chinese mathematician

Jia Xian was a Chinese mathematician during the Song dynasty. He described Pascal’s triangle, more than six centuries before Pascal, and used it to calculate square and cube roots.

Jia Xian is also known as Chia Hsien. Jia Xian was a government official and studied with the mathematician and astronomer Chu Yan and was well versed in mathematics, writing many books on the subject. He had a relatively low military office during the reign of Emperor Renzong of the Song Dynasty.

Jia Xian is known to have written two mathematics books: Huangdi Jiuzhang Suanjing Xicao (The Yellow Emperor's detailed solutions to the Nine Chapters on the Mathematical Art), and Suanfa Xuegu Ji (A collection of ancient mathematical rules).

Jia Xian improved the theoretical level of ‘The Nine Chapters of the Mathematical Art’ and created Jia Xian Triangle and Zengcheng root-extraction method.
His diagram is similar to Blaise Pascal’s triangle, which was discovered independently later in the West.
Jia Xian (1010-1070 AD) - Chinese mathematician