Question

POR FAVOR necesito la historia de la geometría en ingles pero resumida que salga una pagina de cuaderno grande

Answer 1

Geometry is one of the oldest sciences. Initially, it constituted a body of practical knowledge concerning lengths, areas and volumes. In ancient Egypt it was highly developed, according to the texts of Herodotus, Strabo and Diodorus. Euclid in the third century. C. configured as axiomatic geometry, treatment established a standard to follow for many centuries Euclidean geometry described in "The Elements". The study of astronomy and cartography, trying to determine the positions of stars and planets on the celestial sphere, served as an important source of solving geometric problems for more than a millennium. René Descartes simultaneously developed algebra and analytic geometry, marking a new stage, where geometric, such as plane curves, figures could be represented analytically, ie, with functions and equations. The geometry is enriched by the study of intrinsic structure of geometric entities that analyze Euler and Gauss, which led to the creation of topology and differential geometry.In the sixth century B.C. the mathematician Pythagoras laid the cornerstone of scientific geometry to show that the various arbitrary and disjointed empirical laws of geometry can be deduced as logical conclusions from a limited number of axioms or postulates. These principles were regarded by Pythagoras and his disciples as evident truths; however, in the modern mathematical thinking they are considered as a set of useful but arbitrary assumptions. A typical developed and accepted by the Greek mathematicians postulates example is the following statement: "A straight line is the shortest distance between two points." A set of theorems on the properties of points, lines, angles and planes can be logically deduced from these axioms. These theorems are "the sum of the angles of any triangle is equal to the sum of two right angles", and "the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides "(known as the Pythagorean theorem). Demonstrative geometry of the Greeks, which dealt with polygons and circles and their corresponding three-dimensional figures, was shown rigorously by the Greek mathematician Euclid, in his book "The Elements". The text of Euclid, despite its imperfections, has served as a basic textbook of geometry to almost the present day