Rather inadvertently, it pops up in several Sangaku problems. The proof has been illustrated by an award winning Java applet written by Jim Morey.I include it on a separate page with Jim's kind permission.var microsoft = microsoft
The Pythagorean configuration is known under many names, the Bride's Chair being probably the most popular.
Many of the proofs are accompanied by interactive Java illustrations. C.) or someone else from his School was the first to discover its proof can't be claimed with any degree of credibility. C.) by an early 20th century professor Elisha Scott Loomis.
The statement of the Theorem was discovered on a Babylonian tablet circa 1900-1600 B. The book is a collection of 367 proofs of the Pythagorean Theorem and has been republished by NCTM in 1968. Counting possible variations in calculations derived from the same geometric configurations, the potential number of proofs there grew into thousands.
Its area therefore equals half that of square on the side AC.
On the other hand, ΔAEC has AE and the altitude from C equal to AM, where M is the point of intersection of AB with the line CL parallel to AE.
The proof below is a somewhat shortened version of the original Euclidean proof as it appears in Sir Thomas Heath's translation. This is because, and ∠BAF = ∠BAC ∠CAF = ∠CAB ∠BAE = ∠CAE.