Pitagoras theorem definition

The theorem is known as the proposition that can be logically proven from an axiom or other theorems that have already been demonstrated respectively.In this context It is essential to respect some rules of inference to arrive at this demonstration.

Pythagoras of Samos ( 582 BC - 507 BC ), also, was a philosopher and mathematician of Greek origin.Unlike what can be assumed, Pitagoras was not who created the theorem that bears his name.This theorem was developed and applied for a long time before in Babylon and India ; however, the Pythagorean school (and not Pitagoras ) was a pioneer in finding a formal proof for this theorem.

Pitagoras can also say that it is considered the first pure mathematical throughout history and helped solidly to the development of scientific areas such as the aforementioned mathematics but also of geometry, arithmetic, astronomy and music, and all thanks to both his cited theorem and other important discoveries as the functional significance of the numbers or the incommensurability of the sides and the diagonal of what is the square.

Specifically, it can be said that the so-called Pythagorean theorem points out that the square of the hypotenuse, in the rectangular triangles, is equal to the sum of the squares of the legs To understand this sentence, it must be borne in mind that a triangle that is identified as a rectangle is one that has a right angle (that is, it measures 90º), that the hypotenuse consists of the longest side of said figure (and opposite the right angle) and that the legs are characterized by being the two minor sides of the right triangle.

The importance of this theorem that concerns us now is that it allows us to discover a measure based on two specific data, that is, that was an important step in the mathematical field because it got us knowing the lengths of two sides of a right triangle we can find out what is the length of the third side.

In 1927 , the mathematician ESLoomis collected more than 350 proofs of the Pythagorean theorem.Loomis classified these demonstrations into four groups: the geometric proofs s, which are made based on the comparison of areas ; the algebraic demonstrations , developed according to the link between the sides and the triangle segments; the dynamic demonstrations , which appeal to the properties of force; and the quaternionic demonstrations , which arise with the use of vectors.

In the case of geometric demonstrations it should be noted that many are the authors or scientists who throughout the history has been carried out.Among them, we should highlight, for example, the great philosopher Platon, who developed them in his famous dialogues, or the mathematical Euclid.

The algebraic have also led to various characters have decided, one way or another, to raise, develop and demonstrate them in a real and palpable way.If, in this case, we should mention figures as illustrious as Leonardo da Vinci that has carried out the construction and demonstration of this form of the cited Pythagorean Theorem.