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Menelaus theorem (by Menelaus of Alexandria) is a theorem about triangles in plane geometry. Given points A, B, C that form triangle ABC, and a line L that intersects lines AB, BC, and CA at points D, E, F, then the theorem states that the following is true:
- <math>\frac{AF}{FB} \cdot \frac{BD}{DC} \cdot \frac{CE}{EA} = -1<math>
In this equation, AB etc. represent measurements of line segments that are allowed negative values. The numerator can be defined as having negative value if the associated vector goes in the same direction of the one specified in the denominator.
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