euclidean

[yoo-klid-ee-uhn]

euclidean Definition

relating to geometry based on the work of Euclid, especially the system of planes and solid figures based on the properties of points, lines, and angles of the plane.

Using euclidean: Examples

Take a moment to familiarize yourself with how "euclidean" can be used in various situations through the following examples!

  • Example

    The distance between two points in a Euclidean space is the length of the shortest path connecting them.

  • Example

    Euclidean geometry is the study of flat space.

  • Example

    The Pythagorean theorem is a fundamental concept in Euclidean geometry.

euclidean Synonyms and Antonyms

Synonyms for euclidean

Phrases with euclidean

  • an algorithm for finding the greatest common divisor of two numbers

    Example

    The Euclidean algorithm is used in cryptography to generate public and private keys.

  • a method of dividing two integers and obtaining a quotient and a remainder

    Example

    Euclidean division is used in computer science to calculate hash codes.

  • a geometric object that has both a magnitude and a direction

    Example

    Euclidean vectors are used in physics to represent forces and velocities.

Origins of euclidean

from the name of the Greek mathematician Euclid

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Summary: euclidean in Brief

The term 'euclidean' [yoo-klid-ee-uhn] relates to geometry based on the work of Euclid, especially the system of planes and solid figures based on the properties of points, lines, and angles of the plane. It is used to describe concepts such as distance, space, and shape, as in 'The Pythagorean theorem is a fundamental concept in Euclidean geometry.' Other related terms include 'Euclidean algorithm,' 'Euclidean division,' and 'Euclidean vector.'