Difference between revisions of "Menelaus' Theorem"

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+#REDIRECT[[Menelaus' theorem]]
-'''Menelaus' Theorem''' deals with the [[collinearity]] of points on each of the three sides (extended when necessary) of a [[triangle]].
-It is named for Menelaus of Alexandria.
-== Statement ==
-A necessary and sufficient condition for points <math>D, E, F</math> on the respective side lines <math>BC, CA, AB</math> of a triangle <math>ABC</math> to be collinear is that
-<center><math>BD\cdot CE\cdot AF = -DC\cdot EA\cdot FB</math></center>
-where all segments in the formula are [[directed segment]]s.
-[[Image:Menelaus1.PNG|center]]
-== See also ==
-* [[Ceva's Theorem]]
-* [[Stewart's Theorem]]