Introduction, translation, and discussion of Chao Chün-Ch'ing's “notes to the diagrams of short legs and long legs and of squares and circles”

AbstractIn Ancient China, one of the earliest protracted expositions of the mathematical relationships which obtain among the lengths of the three sides of a right-angled triangle occurs in the commentary of Chao Chün-ch'ing on the Chou Pi Suan Ching. This exposition is discussed and translated below