Difference between revisions of "Menelaus' Theorem"
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A necessary and sufficient condition for points D, E, F on the respective side lines BC, CA, AB of a triangle ABC to be collinear is that | A necessary and sufficient condition for points D, E, F on the respective side lines BC, CA, AB of a triangle ABC to be collinear is that | ||
<br><center><math>BD*CE*AF = -DC*EA*FB</math></center><br> | <br><center><math>BD*CE*AF = -DC*EA*FB</math></center><br> | ||
| − | where all segments in the formula are [[directed | + | where all segments in the formula are [[directed segment]]s. |
Revision as of 16:51, 12 July 2006
Statement
(awaiting image) A necessary and sufficient condition for points D, E, F on the respective side lines BC, CA, AB of a triangle ABC to be collinear is that
where all segments in the formula are directed segments.
Example
Does anyone have a good example?
