Geometry

Planar geometry refers to planar shapes such as lines, circles, and triangles. Shapes that can be drawn on paper

Why do we want geometry? In order to better understand the world around us, discover patterns and find areas, volumes, lengths and angles.

Geometry is a study of graphics in a given number of dimensions and spaces of a given type. The most common geometry types are spherical geometry such as planar geometry (processing objects such as points, lines, circles, triangles, polygons), solid geometry (objects such as lines, spheres, polyhedra) and spherical triangles and spherical polygons Processing object). Geometry is part of a quarter of the professors of the Middle Ages. Historically, geometric studies came from several recognized facts (axioms or assumptions) and used systems and strict stepwise proofs to establish true statements. However, geometry far exceeds the way of this relatively dry textbook. This is because beautiful and unexpected results of projected geometry have been proved (Schubert's powerful but problematic enumeration geometry goes without saying).

In this article, I will briefly introduce the main branch of the geometry and then describe extensive history processing. For specific branches of geometry, see Euclidean geometry, analytic geometry, projective geometry, differential geometry, non-Euclidean geometry and topology. In some ancient cultures geometric shapes that match the relationships of object length, area, volume were developed. This geometry compiles about 300 generations based on 10 axioms or assumptions in Euclidian elements where hundreds of theorems are proved by deductive logic. Elements are the essence of the century-long axiom deduction method

Ancient Greeks, like Egypt and Babylonia, have practiced experimental geometry for centuries. Then they create the first formal mathematics of every type by organizing the geometry with logical rules. An important geometric book of Euclid (400 BC) The Elements forms the basis for most of the geometric foundations of the school. Descartes made the greatest progress in geometry by linking algebra and geometry. One myth is that when you think about placing a point on a plane with a pair of numbers, he is looking around flying around the ceiling. Perhaps this is related to the fact that he is asleep until 11 am everyday. Fermat also discovered coordinate geometry, but that is the Cartesian version we use today.