Euclid

  • Who is Euclid?
  • Euclid (Greek: Εὐκλείδης – Eukleídēs) is a Alexandrian mathematician who lived between 330 and 275 BC.

 

  • In Euclidean mathematicians, the name is the person most identified with geometry. Rather than being a great mathematician, this elite place in the world of geometry, rather than the beginning of the geometry of his own time, known in the name of the name of the book collects the name. In order to ensure that the Euclidean compilation is a coherent whole, it presents five axioms as obvious truths that do not require evidence. All other proposals are derived from these axioms.

 

  • After completing his education at the Academy, Euclid founded a great school of mathematics in Alexandria, and he has been a largely observer of all ages interested in mathematics. The 13-volume book “Elements” was the first comprehensive work in this area, working as a system based on proofs and axioms of geometry. This work of Euclid, based on the work of mathematicians and geometries such as Tales, Pythagoras, Plato, and Aristotle before him, has been used as an important reference source for two thousand years. Plane geometry, arithmetic, number theory, irrational numbers, and rigid body geometry were the main topics in Euclid’s book. The method by which Euclid removes every suggestion from the previous propositions justifies the statement of “the father of the geometry” attributed to him. The axioms in the book are said to have taken second place after the Book of the Book of the effect of Western thought on the synthesis methods based on the theorems and proofs. Russell argues that Elements is the largest book ever written. Einstein says, “In your youth, someone who has not been caught up in the magic of this book” he says, “do not get enamored of making an important breakthrough in theoretical science.”

 

  • Euclidean geometry remained unrivaled until the beginning of the 19th century. Even in the middle of the twentieth century, geometry was taught to Euclid’s subjects in secondary education.
  • As of Euclid’s life, nothing is known immediately. Although it was supposed to have been born in Megara, a Greek city, it later became apparent that the Megaric Euclid was a philosopher who lived centuries before the writer’s article, Alexander Euclid.
  • As to the project he is working on, Euclid says: “A truth can extend as much as desired.” And “It goes from one point to another and from one point to another.”

 

  • Axioms of Euclidean
  • Euclid refers to 10 axioms in the first book of the Elements, which consists of a total of 13 cartridges. Five of them are expressed in the form of common sense. Five of them are described as postulates. From these, it proves the other proposals of Geometrinin.

 

  • Postings of Euclid:
  • It is possible to draw a straight line from any point to any other point.
  • It is possible to extend one straight segment in both directions continuously.
  • It is possible to define a circle with any center and any radius.
  • It is true that all the right angles are equal to each other.
  • If a line intersecting two lines is drawn, if the sum of two angles on one side of the line intersecting each other is smaller than two perpendicular angles, then if the sum of these two angles continues to extend on the side where the angle is less than two perpendicular angles, then it is true that they intersect at a point in the future. (This postulate is known in the form of an intersection with straight lines parallel to the postula.)

 

  • Common evidence:
  • Other things equal to one are equal to each other.
  • If equal quantities are added to equal quantities, the resulting quantities are equal to each other.
  • If equal amounts are subtracted from equal parts, the rest are equal to each other.
  • The things overlapping each other (equal in nature) are equal to each other.
  • It’s bigger than all the pieces.
Euclid
Author: wik Date: 9:38 pm

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