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Trapezium Meaning: Definition, Examples, and Translations

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trapezium

[trəˈpiːziəm ]

Definition

Context #1 | Noun

geometry shape

A trapezium is a four-sided shape (quadrilateral) that has at least one pair of parallel sides. The angles between the bases can vary, resulting in different forms of trapeziums, such as right trapeziums or isosceles trapeziums. In some regions, particularly in the United States, the term trapezium may refer to what is called a trapezoid elsewhere.

Synonyms

quadrilateral, trapezoid.

Examples of usage

  • The trapezium has two parallel sides.
  • We learned about trapeziums in our geometry class.
  • The architect designed a building shaped like a trapezium.

Translations

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

Interesting Facts

Mathematics

  • The area of a trapezium can be calculated using the formula: Area = 1/2 x (Base1 + Base2) x Height.
  • Trapeziums are often used in architecture and design for their aesthetic appeal and structural benefits.
  • They play an important role in calculus and geometry, helping to calculate slopes and areas under curves.

Art & Culture

  • Many famous artworks feature trapezium shapes, especially those focusing on perspective and atmosphere.
  • In modern architecture, trapezium shapes are often utilized in building designs, creating visually dynamic spaces.
  • The trapezium has inspired various patterns in textiles and graphic design due to its unique angular properties.

Science

  • In human anatomy, there is a bone called the trapezium that is located at the base of the thumb, allowing for its wide range of motion.
  • The shape of various biological structures, such as some leaf forms, can resemble a trapezium, highlighting nature's geometrical patterns.
  • In physics, trapezium-like graphs can represent varying values over time, such as velocity or acceleration profiles.

History

  • In ancient cultures, geometric shapes were used in navigation, trade, and architecture, with trapezium shapes helping to create more efficient spaces.
  • During the Renaissance, the study of geometry, including trapeziums, contributed significantly to advancements in art, architecture, and science.
  • Mathematicians in the Middle Ages built upon Greek knowledge of shapes, further developing the understanding of trapeziums and their properties.

Origin of 'trapezium'

Main points about word origin

  • The word 'trapezium' comes from the Greek word 'trapezion', meaning 'little table' because of its table-like shape.
  • In geometry, 'trapezium' is primarily used in British English, while in American English, it is often referred to as 'trapezoid'.
  • The term 'trapezium' was used in the 16th century by mathematicians to describe this unique four-sided figure.

The word 'trapezium' originates from the Greek word 'trapezion', meaning 'little table'. The term is derived from 'trapeza', which means 'table', reflecting the flat shape that resembles a table. In the context of geometry, the trapezium has been recognized since ancient Greek times. The modern usage of the term has evolved, particularly in the realms of mathematics and architecture, where its definition can vary based on regional variations. In the UK, the trapezium has a strict definition of having one pair of parallel sides, while in the US, it is often used interchangeably with 'trapezoid', leading to some confusion in educational settings. Despite these discrepancies, the study of trapeziums is fundamental in understanding more complex geometric shapes and their properties.

Word Frequency Rank

This word's position of #32,626 indicates it's among the more rare English words. While understanding it broadens your vocabulary, focus on more common words first.