Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:inequality
|
| gptkbp:appliesTo |
gptkb:train
|
| gptkbp:describes |
relationship between distances from an interior point to the sides and vertices of a triangle
|
| gptkbp:expressedIn |
PA + PB + PC ≥ 2 (PD + PE + PF)
|
| gptkbp:field |
gptkb:geometry
|
| https://www.w3.org/2000/01/rdf-schema#label |
Erdős–Mordell inequality
|
| gptkbp:location |
PA, PB, PC are distances from P to vertices A, B, C
P is an interior point of triangle ABC PD, PE, PF are distances from P to sides BC, CA, AB |
| gptkbp:namedAfter |
gptkb:Paul_Erdős
gptkb:Louis_Mordell |
| gptkbp:publishedIn |
gptkb:American_Mathematical_Monthly
|
| gptkbp:statedIn |
1935
|
| gptkbp:bfsParent |
gptkb:Paul_Erdős
|
| gptkbp:bfsLayer |
4
|