Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
geometric locus
|
| gptkbp:defines |
locus of points having a constant ratio of distances to two fixed points
|
| gptkbp:field |
gptkb:geometry
|
| gptkbp:hasEquation |
|PA|/|PB| = k, where P is a point on the circle, A and B are fixed points, and k is a positive constant not equal to 1
|
| gptkbp:hasSpecialCase |
gptkb:circle_of_Apollonius_for_a_triangle
|
| https://www.w3.org/2000/01/rdf-schema#label |
Apollonius circle
|
| gptkbp:namedAfter |
gptkb:Apollonius_of_Perga
|
| gptkbp:property |
when k=1, the locus is the perpendicular bisector of AB
for k≠1, the locus is a circle |
| gptkbp:relatedTo |
gptkb:butter
gptkb:Apollonius_of_Perga locus |
| gptkbp:usedIn |
triangle geometry
|
| gptkbp:bfsParent |
gptkb:Apollonius_of_Perga
|
| gptkbp:bfsLayer |
6
|