Wikipedia
In mathematics, the Pythagorean theorem, also known as Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. The theorem can be written as an equation relating the lengths of the sides a, b and c, often called the "Pythagorean equation":
a + b = c,
where c represents the length of the hypotenuse and a and b the lengths of the triangle's other two sides.
Although it is often argued that knowledge of the theorem predates him, the theorem is named after the ancient Greek mathematician Pythagoras ( 570 – 495 BC) as it is he who, by tradition, is credited with its first recorded proof. There is some evidence that Babylonian mathematicians understood the formula, although little of it indicates an application within a mathematical framework. Mesopotamian, Indian and Chinese mathematicians all discovered the theorem independently and, in some cases, provided proofs for special cases.
The theorem has been given numerous proofspossibly the most for any mathematical theorem. They are very diverse, including both geometric proofs and algebraic proofs, with some dating back thousands of years. The theorem can be generalized in various ways, including higher-dimensional spaces, to spaces that are not Euclidean, to objects that are not right triangles, and indeed, to objects that are not triangles at all, but n-dimensional solids. The Pythagorean theorem has attracted interest outside mathematics as a symbol of mathematical abstruseness, mystique, or intellectual power; popular references in literature, plays, musicals, songs, stamps and cartoons abound.
Usage examples of "pythagorean theorem".
There had to be a fine line: enough regularities to announce intelligent design (a sequence of prime numbers, the Pythagorean theorem, a sequence of squares, the digits of pi), yet enough variation to offer information.
In some things, such as the Pythagorean Theorem, God may not have had any choice when He created the world.
The Greeks also gave us the Pythagorean theorem, although after we graduate from high school we gave it back.
The timing was propitious: One Washington axiom, proved more times than the Pythagorean theorem, states that in the presence of oxygen, one loud fart with an obvious culprit will cover many small emissions in the same room, provided they are nearly simultaneous.
One Washington axiom, proved more times than the Pythagorean theorem, states that in the presence of oxygen, one loud fart with an obvious culprit will cover many small emissions in the same room, provided they are nearly simultaneous.
She missed the simplicity of the first eleven messages: straightforward representations of the Pythagorean theorem and chemical formulas and planetary systems.
She was halfway through a two-thousand-line history of the Pythagorean Theorem.
Did you see what happened when I drew her a diagram of the Pythagorean Theorem?
Marya, this is not the Pythagorean Theorem, which states that the square of the hypotenuse of a right triangle.
And, third, the Pythagorean theorem, which is really just an astute amalgam of the first two shortcuts and about as attributable to Pythagoras as soul is to Eric Clapton.
But the monster hadn't cared about the Pythagorean theorem diagrammed in sand.
Like if Joe is building a hut, the shape of the logs might remind Anglesey of some geometric figure, which in turn would remind him of the Pythagorean theorem—.
Count from one to, say, ten, then run the beginning of the prime-number series, maybe demonstrate the Pythagorean theorem by drawing a right triangle.