Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Geometric concept
|
| gptkbp:alsoKnownAs |
Axis of power
|
| gptkbp:defines |
The locus of points that have equal power with respect to two given circles
|
| gptkbp:discoveredBy |
19th-century mathematicians
|
| gptkbp:generalizes |
Radical center (for three circles)
|
| gptkbp:hasEquation |
The set of points P such that PA^2 - r1^2 = PB^2 - r2^2, where A and B are centers, r1 and r2 are radii
|
| https://www.w3.org/2000/01/rdf-schema#label |
Radical Axis
|
| gptkbp:property |
Always a straight line
Perpendicular bisector of the line joining the centers of two circles if the circles have equal radii Points on the radical axis have equal tangents to both circles |
| gptkbp:relatedTo |
gptkb:Circle
Power of a point |
| gptkbp:usedIn |
gptkb:Apollonius'_problem
Circle geometry Construction problems |
| gptkbp:bfsParent |
gptkb:Aqua_Teen_Hunger_Force_Colon_Movie_Film_for_Theaters
|
| gptkbp:bfsLayer |
7
|