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Concept information

geometry > Euclidean geometry > intercept theorem

Terme préférentiel

intercept theorem  

Définition(s)

  • The intercept theorem, also known as Thales's theorem, basic proportionality theorem or side splitter theorem is an important theorem in elementary geometry about the ratios of various line segments that are created if two rays with a common starting point are intercepted by a pair of parallels. It is equivalent to the theorem about ratios in similar triangles. It is traditionally attributed to Greek mathematician Thales. It was known to the ancient Babylonians and Egyptians, although its first known proof appears in Euclid's Elements.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Intercept_theorem)

Concept(s) générique(s)

Concept(s) associé(s)

Synonyme(s)

  • basic proportionality theorem
  • side splitter theorem
  • Thales's theorem

Traductions

URI

http://data.loterre.fr/ark:/67375/PSR-QCTHGGFV-2

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RDF/XML TURTLE JSON-LD Dernière modif. 10/08/2023