Field:Geometry

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Geometry

Geometry is a branch of Mathematics that studies the properties of sizes, angles, lengths and figures. Geometry is one of the oldest branches of mathematics, and has been used for centuries. Using certain geometric properties, you can deduce angles, calculate sizes, or even figure out the size of the earth!


Contents

Pythagorean Theorem
Pythagorean Theorem



History

Geometry is one of the oldest forms of math that dates back to 3000BC where basics concepts were beginning to form. Geometry literally means "Earth Measurement", because revolves around sizing up different aspects of life. Principles about length and volume emerged and were used for simple applications like surveying and construction. Eventually Geometry grew into one of the most practical maths in ancient times.

Along came a man named Euclid, a Greek mathematician. He organized geometry in a series of texts called "The Elements". These texts covered everything from plane and solid geometry to parts of algebra and trigonometry. He defined certain principles and axioms to be used. From this "Euclidean Geometry" was born.[1]. Even though Geometry was widely used before his time, he was the first person to organize and clarify it. He is the "founding father" of geometry. In the

Types of Geometry

Euclidean Geometry

Euclidean Geometry is "the high school geometry we all know and love"[2]. It deals with flat space and solids, things that can be drawn onto a page or visualized and defined. Euclid wrote a series of texts called The Elements where he wrote down certain axioms (a principle or rule) that could be used to logically solve problems. Things like Pythagorean Theorem and the congruence of triangles all fall under Euclidean Geometry.

Non Euclidean Geometry

Non-Euclidean Geometry are any form of geometry that do not conform to all of Euclid's postulates. The main difference between Non-Euclidean and Euclidean Geometry are the rules governing lines. There are two main types of Non-Euclidean Geometry, Hyperbolic Geometry and Riemannian Geometry. These other types do not deal with flat surfaces like regular geometry, but instead with surfaces that are not flat. Hyperbolic Geometry is the study of saddle shaped planes, so certain rules are changed. Riemannian Geometry is the study of curved surfaces, especially spheres.

Examples of Geometry

To see all Geometry related pages, head over to the Geometry category.


References

  1. http://en.wikipedia.org/wiki/Geometry
  2. http://regentsprep.org/Regents/math/geometry/GG1/Euclidean.htm

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