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Utilized Methods
Circle Inversion
Power of a point to a circle
Translation
Loci Of Points Satisfying Certain Properties
Dilation
Homothety
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About Apollonian Problems
Euclidean geometry (and history) and construction
Non-Euclidean solutions to the Problem of Apollonius
Problems of Apollonius' and Pappus'
POINT
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LINE
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Point Outside The Line
Point Outside The Line
Number of solutions: ∞
SOLUTION METHOD
Loci of Points Satisfying Certain Properties
GeoGebra construction
Download GeoGebra file
Steps
Construct a hyperbola defined by the focus point A and the line being the directix. The parabola contains all the possible solutions.