What is geometry

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Most adults are familiar with the term geometry from their school days, when they were allowed to work with circles and triangles. Sometimes, however, you come across topics that supposedly fall into the field of geometry, but that seem to have nothing in common with math lessons at school. So what is geometry anyway?

Geometry in math class at school

The reason for having many topics of geometry Even as a former top of the class in math, you can not really classify it, is that you can distinguish between two basic areas in this discipline.

  • On the one hand there is the so-called Euclidean or elementary geometry, which deals with the calculation of areas, angles, distances, Straight linesBusy, curves, points, planes and so on.
  • This form of geometry is the one that you also learn at school and that you use with instruments such as rulers, set triangles, compasses, calculator and computers have also been used for some time.
  • If the geometric shapes are put on paper with the help of these instruments, one also speaks of representational Geometry that uses certain methods to translate three-dimensional shapes onto a two-dimensional plane to draw.

What else is geometry

In addition to elementary geometry, the concept of geometry includes a whole series of others Sub-areas with one in which a geometry is understood as a certain mathematical structure will.

Construct a trapezoid

Constructing a trapezoid is easy once you know what it is. …

  • From this it follows first of all that the geometry is not just the designation for a mathematical one Discipline is, rather that there are a multitude of geometries that mathematically examine each other permit.
  • The basic idea when imagining a large number of geometries is that they are mathematical structures that are all based on certain theoretical principles or principles. Allow axioms to be traced back.
  • Mathematical sub-areas that work with this conception of geometry are, for example, algebraic geometry, differential geometry, algorithmic geometry and a few others.

This definition of geometry makes it clear that this is definitely a complex term and that one should always clarify You should know which mathematical sub-area you are actually talking about before you embark on more specific discussions lets in.

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