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Equilateral Meaning: Definition, Examples, and Translations

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equilateral

[ˌiːkwɪˈlætərəl ]

Definition

Context #1 | Adjective

geometric figures

Equilateral refers to a shape where all sides are of equal length. This term is most commonly used in geometry to describe triangles, known as equilateral triangles, where all three sides and all three angles are identical. This equidistance contributes to the triangle's symmetrical appearance. The concept can also apply to other polygons, indicating that all sides are congruent, contributing to their regularity.

Synonyms

equal-sided, identical, uniform.

Examples of usage

  • An equilateral triangle has three equal lengths.
  • The shape of the flag is equilateral.
  • Many geometric proofs involve equilateral shapes.

Translations

To see the translation, please select a language from the options available.

Interesting Facts

Mathematics

  • An equilateral triangle has angles of 60 degrees each, creating a perfectly balanced shape.
  • It is also classified as isosceles, which means it has at least two equal sides, but in this case, all three sides are equal!
  • This type of triangle has the smallest perimeter for a given area compared to other triangle shapes.

Art and Architecture

  • In art, equilateral triangles can create harmony and balance in compositions, often used in logos and designs.
  • Famous architectural designs, like The Louvre Pyramid in Paris, utilize triangular shapes that can include equilateral designs for aesthetic unity.

Nature

  • Certain natural crystals, like the mineral pyrite (also known as fool's gold), can form equilateral triangular shapes.
  • The arrangement of some honeycomb structures can resemble an equilateral triangle, showcasing nature's efficiency.

Cultural Symbolism

  • In many cultures, the equilateral triangle represents balance and equality, symbolizing stability.
  • It is often used in spiritual practices, symbolizing the interconnectedness of body, mind, and spirit.

Origin of 'equilateral'

The term 'equilateral' comes from the Medieval Latin word 'aequaliteralis', which is a combination of 'aequalis' meaning equal and 'lateralis' meaning side. This term emerged in mathematical literature during the late Middle Ages as mathematics, especially geometry, began to develop more rigorously. The use of equilateral shapes became prominent in the study of geometry, where the properties of equilateral triangles were explored by mathematicians such as Euclid. Over the centuries, the term has maintained its relevance in both educational contexts and practical applications in design and architecture, emphasizing the importance of balance and symmetry.

Word Frequency Rank

Positioned at #22,400, this word is part of extensive vocabulary. It's relatively rare in general usage but may be important in specific fields or formal writing.