Pitot theorem [SEP] named after
Pitot theorem
In geometry, the Pitot theorem, named after the French engineer Henri Pitot, states that in a tangential quadrilateral (i.e. one in which a circle can be inscribed) the two sums of lengths of opposite sides are the same. Both sums of lengths equal the semiperimeter of the quadrilateral.
The theorem is a consequence of the fact that two tangent line segments from a point outside the circle to the circle have equal lengths. There are four equal pairs of tangent segments, and both sums of two sides
, Napoleon's theorem, logarithmic spirals, The Prisoner of Benda, the Pitot theorem, and the monkey and the coconuts problem. Once, in a remarkable "tour de force", CTC published 122 proofs of the Pythagorean theorem.
Bogomolny did indeed entertain but his deeper goal was to educate. He wrote a manifesto for CTC in which he said that "Judging Mathematics by its pragmatic value is like judging symphony by the weight of its score." He describes the site as "a resource that would help learn