Statements (14)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
triangles
transversal lines |
| gptkbp:category |
theorems in plane geometry
|
| gptkbp:field |
gptkb:geometry
|
| gptkbp:firstDescribed |
1st century AD
|
| gptkbp:form |
(AF/FB) × (BD/DC) × (CE/EA) = 1
|
| https://www.w3.org/2000/01/rdf-schema#label |
Menelaus's theorem
|
| gptkbp:namedAfter |
gptkb:Menelaus_of_Alexandria
|
| gptkbp:relatedTo |
gptkb:Ceva's_theorem
|
| gptkbp:sentence |
If a transversal crosses the sides (or their extensions) of a triangle, the product of the ratios of the segments is 1.
|
| gptkbp:usedIn |
gptkb:Euclidean_geometry
|
| gptkbp:bfsParent |
gptkb:Ceva's_theorem
|
| gptkbp:bfsLayer |
7
|