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Theorem

Crossbar Theorem

Geometry

In geometry, the crossbar theorem states that if a ray AD lies between rays AC and AB, meaning D lies in the interior of angle CAB, then ray AD must intersect the line segment BC. 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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Existence Theorem 1
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Source Crossbar theorem (Wikipedia)
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1. Crossbar theorem (Wikipedia)
  • Lead section
    In geometry, the crossbar theorem states that if ray AD is between ray AC and ray AB, then ray AD intersects line segment BC. This result is one of the deeper results in axiomatic plane geometry.
  • In Branch: Geometry, Lead sentence
    In geometry, the crossbar theorem states that if ray AD is between ray AC and ray AB, then ray AD intersects line segment BC.
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