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The Pythagorean Proposition by Elisha S. Loomis

The Pythagorean Proposition Elisha S. Loomis ebook
Page: 326
Publisher: Natl Council of Teachers of
Format: djvu
ISBN: 0873530365, 9780873530361

For example, a student may experience reading a geometry textbook, and as a result of that experience, he may be able to state the Pythagorean Theorem. By any measure, the Pythagorean theorem is the most famous statement in all of mathematics, one remembered from high school geometry class by even the most math-phobic students. This lessson is part of a series of lessons for the quantitative reasoning section of the GRE revised General Test. Finally, if n = 2, then we have the Pythagorean Theorem a2 + b2 = c2. 32, “no reason whatever was in anyone's mind when the 47th proposition gradually came to be recognized as the dintinguishing mark of a Past Master.” I shall come back to this point later. Ask a mathematician to go out and “test” the theorems in a geometry text- book . Most of There are actually more proofs for the Pythagorean Theorem than any other geometrical problem! There are lots and lots of proofs of the Pythagorean Theorem. Likewise, if we consider real numbers, then the solution is straight-forward algebra: z = (xn + yn)(1/n). 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. This famous theorem is named for the Greek mathematician and philosopher, Pythagoras. 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. Let's build up squares on the sides of a right triangle. Pythagoras of Samos was an Ionian Greek mathematician and founder of the religious movement called Pythagoreanism. Euclid's 47th problem (or more properly, proposition) is merely a proof for the theorem first put forth by Pythagoras. The Pythagorean Theorem: A 4000-Year History Eli Maor, ISBN: 0691125260 | 2007 | PDF | 286 pages | 25 MB By any measure, the Pythagorean theorem is the most famous statement in all of mat. The Pythagorean Theorem was one of the earliest theorems known to ancient civilizations. Pythagoras' Theorem then claims that the sum of (the areas of) two small squares equals (the area of) the big one. For example, consider the Pythagorean theorem, which is probably the most famous of all geometrical results . (My favorite appears at the bottom of this entry, in case you want to skip to it.) I'm not trying to overthrow thousands of years of math here.