The Pythagorean theorem states that when a triangle has a right angle and all three sides are squared, the longest side squared will equal the size of the smaller two sides squared and summed. It is usually expressed as a^2+b^2=c^2.
Pythagoras was a Greek philosopher and mathematician. He is best known for his contributions to mathematics, particularly the Pythagorean Theorem, and for founding the Pythagorean religion, whose adherents may have contributed some of the mathematical work that is often ascribed to him.
Pythagoras often receives credit for the discovery of a method for calculating the measurements of triangles, which is known as the Pythagorean theorem. However, there is some debate as to his actual contribution the theorem.
The ancient Greek philosopher Pythagoras lived from 570 to 490 BCE, spending his early years in Samos, Greece, per the Stanford Encyclopedia of Philosophy. At age 40, he moved to Croton, Italy, where most of his philosophical activity took place.
A comparison theorem is a test of whether or not a mathematical object satisfies a set of predetermined properties. In calculus, a comparison can test if an integral is convergent or divergent. It is useful when one is not concerned with the actual value of an integral.
Pythagoras was educated in Tyre, Samos and Miletus, which is present-day Syria and Asia Minor, as well as Egypt. He later founded his own mystery school in Croton, which is southern Italy.
The exact cause of Pythagoras' death is unknown. There are numerous stories related to the circumstances of his death, but none is confirmed as true.
The work-energy theorem is a generalized description of motion that states that the work done by the sum of all forces acting on an object is equal to the change in that object's kinetic energy. This principle of work and its relationship to kinetic energy is a core mechanical physics concept.
Although one of Pythagoras' contributions to mathematics was the Pythagorean Theorem, he also proved other axioms, worked on prime and composite numbers and found an irrational number. Pythagoras was a Greek mathematician who was a student of Thales, another Greek mathematician.
The Pythagorean theorem forms the basis of trigonometry and, when applied to arithmetic, it connects the fields of algebra and geometry, according to Mathematica.ludibunda.ch. It has been applied to real-world problems since at least 1500 B.C., when it was used by the ancient Babylonians to accurate