Geometry

Below is a list of all the skills students have learned in geometry! These skills are categorized by category, and to preview skills, move the mouse over any skill name. To get started, click on any link. IXL keeps track of your scores, and as you progress, the problem automatically increases difficulty!

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 practiced experimental geometry such as Egypt and Babylonia for centuries and it absorbed experimental geometry of both cultures. 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.

Early in the 17th century, geometry achieved two important developments. The first is the analytic geometry created by René Descartes (1596-1650) and Pierre de Fermat (1601-1665), or geometry including coordinates and equations. This is a necessary prerequisite for the development of calculus and the accurate quantitative science of physics. The second geometrical development in this period was a systematic study of projective geometry by Girard Desargues (1591-1661). Projection geometry is geometry without measurement values ​​and parallel lines, but how research points are related to each other