The following were influential in developing which subject in China: Liu Hui, Zu Geng, Li Chunfeng, Yang Hui, Shen Kuo, Liu Xin, Zhang Heng, Liu Hui, Zu Chongzhi and Wang Xiaotong?
Liu Hui the "Nine Chapters" in the year 263. He probably visited Luoyang, where he measured the sun's shadow. 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. 1238-1298 AD) expressed his mathematical results in full decimal expressions. Liu provided commentary on a mathematical proof of a theorem identical to the Pythagorean theorem. Liu called the figure of the drawn diagram for the theorem the "diagram giving the relations between
Liu Xin (scholar) and outside it a circle. The distance from each corner of the square to the circle (thiao phang) is 9 li 5 hao. The area of the circle (mu) is 162 (square) tshun (inches), the depth 1 chhih (foot), and the volume (of the whole) 1620 (cubic) tshun (inches). Later mathematicians such as Zhang Heng (78–139) and Liu Hui (fl. 3rd century) would improve Liu's calculation for pi. Although Liu Xin was originally a loyal partisan of Wang Mang, after Wang's troops suffered defeat on July 7, 23 at the Battle of Kunyang, Liu Xin plotted with others to overthrow