Jia Xian-Yang Hui triangle
Triángulo de Jia Xian y Yang Hui
- Date
- c. 1050 (Jia Xian) / 1261 (Yang Hui) · confidence medium
- Place
- Kaifeng, Henan, China
- Credited to
- Jia Xian; transmitted by Yang Hui (1261)
- People
- 👤 Jia Xian1010–1070
- Field
- Knowledge & symbols
What was discovered
A triangular table of binomial coefficients up to the sixth power, used to extract square, cube and higher roots by the method of successive multiplication. Zhu Shijie extended it to the eighth power in 1303.
Contemporary with, and independent of, al-Karaji in Baghdad; in Europe it is associated with Pascal (1654). Jia Xian's work was lost and is known through Yang Hui.
What it led to
- extraction of roots of any order
- Qin Jiushao's method for polynomial equations