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Theorem

Intercept Theorem

Geometry

The intercept theorem, also known as Thales's theorem in some traditions, the basic proportionality theorem, or the side splitter theorem, is a result in elementary geometry concerning the ratios of line segments created when two rays sharing a common starting point are cut by a pair of parallel lines. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/

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Identity or Equation 1
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Equation, Concepts
Identity, Concepts

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Source Intercept theorem (Wikipedia)

Proved By

Euclid, Mathematicians
Source Intercept theorem (Wikipedia)
Sources
1. Intercept theorem (Wikipedia)
  • Lead section
    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.
  • In Branch: Geometry, Lead sentence
    er theorem, is an important theorem in elementary geometry about the ratios of various line segments that are created if two rays
  • Proved By: Euclid, Lead paragraph
    its first known proof appears in Euclid
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