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In mathematics, the Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle.It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides.
At Dulcarnon (literally two-horned) is a reference to the supposed difficulty of the theorem by the 14-century English poet Geoffrey Chaucer in Troilus and Criseyde. The premise that Pythagoras had left some writings, the manuscripts which have been lost, forms the premise of Pythagoras' Revenge: A Mathematical Mystery by Arturo Sangalli ; it ...
Mathematical joke playing on the Pythagorean theorem and imaginary numbers. Some jokes are based on imaginary number i, treating it as if it is a real number. A telephone intercept message of "you have dialed an imaginary number, please rotate your handset ninety degrees and try again" is a typical example. [15]
The poet Heraclitus of Ephesus (fl. c. 500 BC), who was born across a few miles of sea away from Samos and may have lived within Pythagoras's lifetime, [14] mocked Pythagoras as a clever charlatan, [8] [14] remarking that "Pythagoras, son of Mnesarchus, practiced inquiry more than any other man, and selecting from these writings he manufactured ...
In mathematics, Pythagorean addition is a binary operation on the real numbers that computes the length of the hypotenuse of a right triangle, given its two sides.According to the Pythagorean theorem, for a triangle with sides and , this length can be calculated as = +, where denotes the Pythagorean addition operation.
Another example is the fundamental theorem of calculus [8] (and its vector versions including Green's theorem and Stokes' theorem). The opposite of deep is trivial . A trivial theorem may be a result that can be derived in an obvious and straightforward way from other known results, or which applies only to a specific set of particular objects ...
Too many Americans still rely on a famous quote from the movie Reality Bites: I was told there would be no math. But what's fascinating about all of this is that the standard response -- that we ...
Noether's theorem (Lie groups, calculus of variations, differential invariants, physics) Noether's second theorem (calculus of variations, physics) Noether's theorem on rationality for surfaces (algebraic surfaces) Non-squeezing theorem (symplectic geometry) Norton's theorem (electrical networks) Novikov's compact leaf theorem