info: PYTHAGOREAN TRIPLE
Pythagorean Triple -- From MathWorld
The smallest and best-known Pythagorean triple is (a,b,c)==(3,4,5). Plots of points in the (a,b)-plane such that (a,b,sqrt(a^2+b^2)) is a Pythagorean triple are show above for successively larger ... Pythagorean triple - Wikipedia, the free encyclopedia
A Pythagorean triple consists of three positive integers a , b , and c , such that a 2 + b 2 = c 2 . Such a triple is commonly written ( a , b , c ), and a well-known example is (3, 4, 5 ... Pythagorean theorem - Wikipedia, the free encyclopedia
Written between 2000 - 1786 BC , the Middle Kingdom Egyptian papyrus Berlin 6619 includes a problem, the solution to which is a Pythagorean triple. During the reign of Hammurabi , the Mesopotamian tablet ... Pythagorean Triple Calculator in JavaScript
A non-reducable Pythagorean triple is called a primitive Pythagorean triple. It can easily be verified that x^2 +y^2 = z^2, with x, y, and z in terms of s and t, the tough part is in deriving these ... n -> Pythagorean triple
n in {1,2,3,4, } t = floor( (3+sqrt(8*n-7))/2 ) s = n -(t^2-3*t+2)/2 x = 2*s*t y = t^2 -s^2 z = t^2 +s^2 {x,y,z} is a Pythagorean triple examples: 1 -> {3,4,5} 2 -> {6,8,10} (a multiple of ... Mathwords: Pythagorean Triple
Pythagorean Triple A set of three positive integers which satisfies the Pythagorean theorem a 2 + b 2 = c 2 . Examples: 3, 4, 5 3 2 + 4 2 = 5 2 ... Pythagorean Theorem and its many proofs
A collection of 43 proofs - some interactive - of the Pythagorean theorem.... factoids > Pythagorean triple
Pythagorean triple Three positive integers that describe a right-angled triangle: i 2 + j 2 = k 2 There are an infinite number of Pythagorean triples. Euclid's proof : consider the identity ... shoemath: Pythagorean Triple 3, 4, 5
Pythagorean Triple 3, 4, 5 legs 3, 4 hypotenuse 5 legs 6, 8 hypotenuse 10 doubled ( times ... Pythagorean Triples
have seen that we can generate many others by just scaling up all the sides by the same factor. A Pythagorean triple which is not a multiple of a smaller one is called a primitive Pythagorean triple ...
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