Radical Axis

GPTKB entity

Statements (17)
Predicate Object
gptkbp:instanceOf gptkb: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
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
https://www.w3.org/2000/01/rdf-schema#label Radical Axis