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About Apollonian Problems
Problems of Apollonius' and Pappus'
Euclidean geometry (and history) and construction
How to use Apollonea.com
Non-Euclidean solutions to the Problem of Apollonius
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Utilized Methods
Dilation
Circle Inversion
Loci Of Points Satisfying Certain Properties
Power of a point to a circle
Translation
Homothety
Problem of Apollonius
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POINT
•
POINT
•
CIRCLE
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Point Inside A Circle And On The Circle, Both Colinear With The Centre Of The Circle
Point Inside A Circle And On The Circle, Both Colinear With The Centre Of The Circle
Number of solutions: 1
SOLUTION METHOD
Loci of Points Satisfying Certain Properties
GeoGebra construction
Download GeoGebra file
Steps
Find a center between the points
A
and
B
.
Draw the resulting circle
k1
.