Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
geometric locus
|
| gptkbp:category |
gptkb:locus_(mathematics)
gptkb:Euclidean_geometry |
| gptkbp:defines |
the locus of points P such that the ratio of distances to two fixed points A and B is constant
|
| gptkbp:field |
gptkb:geometry
|
| gptkbp:hasEquation |
|PA|/|PB| = k, where k ≠ 1
|
| https://www.w3.org/2000/01/rdf-schema#label |
circle of Apollonius
|
| gptkbp:namedAfter |
gptkb:Apollonius_of_Perga
|
| gptkbp:property |
perpendicular bisector of AB is a special case when k=1
center lies on the line AB orthogonal to the circle with diameter AB passes through the points dividing AB internally and externally in the given ratio |
| gptkbp:relatedTo |
gptkb:Apollonius_problem
|
| gptkbp:type |
gptkb:butter
|
| gptkbp:usedIn |
triangle geometry
inversion geometry |
| gptkbp:bfsParent |
gptkb:Apollonius'_problem
|
| gptkbp:bfsLayer |
7
|