File:Menelaus'_theorem_1.svg · Wikimedia Commons · See Wikimedia Commons
Wikidata facts
- Instance of
- theorem
- Part of
- list of theorems
- Named after
- Menelaus of Alexandria
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- statement describes
- triangle
- Commons category
- Menelaos's theorem
- maintained by WikiProject
- WikiProject Mathematics
- studied by
- Euclidean geometry
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Encyclopedic overview
Menelaus's theorem, case 1: line DEF passes inside triangle △ABC
In Euclidean geometry, Menelaus's theorem, named for Menelaus of Alexandria, is a proposition about triangles in plane geometry. Suppose we have a triangle △ABC, and a transversal line that crosses BC, AC, AB at points D, E, F respectively, with D, E, F distinct from A, B, C. A weak version of the theorem states that
Excerpted from Wikipedia’s “Menelaus' theorem” article, available under the CC BY-SA 4.0 licence.