Difference between revisions of "Menelaus' Theorem"

(Redirected page to Menelaus' theorem)
(Tag: New redirect)
(46 intermediate revisions by 21 users not shown)
Line 1: Line 1:
#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.
== See also ==
* [[Ceva's Theorem]]
* [[Stewart's Theorem]]

Latest revision as of 16:20, 9 May 2021

Redirect to:

Invalid username
Login to AoPS