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What is the importance of geometry?

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Quick Answer

Geometry is essential for applied mathematics, and it is used in architecture and engineering fields. Its development was crucial in the development of modern mathematics. It can also make abstract mathematical concepts more clear.

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What is the importance of geometry?
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Math is an abstract field, but it often must be used in physical objects. Geometry provides a means of applying mathematical ideas to construction, vehicles and virtually all objects. When studying how strong a building's support will be, architects must use geometric reasoning. Similarly, geometry allows airplane designers to measure how aerodynamic a particular design is.

Geometry was essential for developing modern mathematics. The ancient Greeks studied geometry extensively, and many modern algebra theorems and axioms have their roots in Greek geometry. The Greeks also used proofs with geometry, and their work allowed later Arabic mathematicians to develop algebra and algorithms. Algebra, and therefore all continuous mathematics, have strong ties to geometric concepts.

Understanding the natural world also requires an understanding of geometry. Fractals, which revolutionized mathematics in the 20th century, depend on simple geometric patterns that repeat themselves. The structure of trees, for example, can be described mathematically using fractal techniques. Fractal designs also have an influence on fields including art, cryptography, biology and artificial intelligence.

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Related Questions

  • Q:

    Who invented geometry?

    A:

    The inventor of geometry was Euclid, and his nickname was The Father of Geometry. Euclid obtained his education at Plato's Academy in Athens, Greece and then moved to Alexandria.

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  • Q:

    Who is the father of geometry?

    A:

    Euclid of Alexandria is called the Father of Geometry. He received his education at Plato's Academy in Greece and moved to Egypt to teach. He taught during the reign of Ptolemy I Soter, the first Macedonian ruler. Euclidian geometry has been taught in schools for a long time.

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  • Q:

    What is spherical geometry?

    A:

    Spherical geometry is the branch of mathematics that deals with figures placed on the surface of a sphere. It can also be defined as a three-dimensional view of more traditional planar geometry; although, there are numerous differences between the planar and spherical subsets of geometrical study. Some of the basic tenets of planar geometry don't carry over to spherical geometry because it deals with different mathematical concepts.

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  • Q:

    What does "congruent" mean in geometry?

    A:

    In geometry, the term congruent refers to two items being the same size and shape. Congruent can be used to describe shapes, sides, segments and/or angles.

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