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The Pythagorean Proposition Elisha S. Loomis
Publisher: Natl Council of Teachers of

But according to Elisha Scott Loomis, author of The Pythagorean Proposition, “The number of algebraic proofs is limitless as is also the number of geometric proofs, but that the proposition admits no trigonometric proof. The Chinese had the Pythagorean Theorem, perhaps before Pythagoras. Hilbert spaces are a particularly nice class of Banach spaces. Proof of Pythagorean Theorem in General Math is being discussed at Physics Forums. Anyone who can recall math classes will remember the first lessons of plane geometry that usually start with the Pythagorean theorem about right-angled triangles: a²+b²=c². Let's build up squares on the sides of a right triangle. Comment by Milhouse (3d0df0) — 6/2/2013 @ 1:15 pm. This theorem may have more known proofs than any other (the law of quadratic reciprocity being another contender for that distinction); the book The Pythagorean Proposition contains 370 proofs. Kadison� Mathematics Department, University of Pennsylvania, Philadelphia, PA 19104-6395. This lessson is part of a series of lessons for the quantitative reasoning section of the GRE revised General Test. Euclid's 47th Proposition of course presents what we commonly call the Pythagorean Theorem. The Pythagorean theorem, stating that the square of the hypotenuse is equal to the sum of the squares of the sides in a right triangle, is a fundamental concept in geometry and trigonometry. Once you understand a proof of, say, the Pythagorean theorem, you can be sure this knowledge won't be contradicted by any future discovery nor changed by any new insight. It can be argued that understanding the relevance of Pythagoras and Euclid's 47th Proposition to Speculative Freemasonry is nearly as enigmatic as Pythagoras and the now ancient Order that claimed his name. Pythagoras' Theorem then claims that the sum of (the areas of) two small squares equals (the area of) the big one.