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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:

    What is a plane in geometry?

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    In geometry, a plane is defined as a flat, infinite surface. It has infinite length and width but no thickness. A plane is thus a two-dimensional, boundless surface and a subset of space.

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    What is a "median" in geometry?

    A:

    A median is a line segment that joins any vertex of a triangle to the midpoint of the opposite side of the triangle. A triangle has three sides and three vertices. Hence, it has three medians. A median divides a triangle into two equal halves of equal area.

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    What is altitude in geometry?

    A:

    Altitude in geometry (also known as height) refers to a segment that extends from any vertex of a triangle and is perpendicular to the line found on the opposite side. This term is also employed to refer to the length of this segment.

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