homothety

[həʊˈmɒθəti]

homothety Definition

a transformation of a Euclidean space that preserves the collinearity and ratios of distances between points.

Using homothety: Examples

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

  • Example

    Homothety is a type of transformation used in geometry.

  • Example

    The homothety of the triangle was preserved under the transformation.

Origins of homothety

from Greek 'homos', meaning 'same', and 'tithenai', meaning 'to place'

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Summary: homothety in Brief

'Homothety' [həʊˈmɒθəti] refers to a transformation of a Euclidean space that preserves the collinearity and ratios of distances between points. It is a type of transformation used in geometry, and it is often used to preserve the homothety of triangles.