POINT • POINT • CIRCLE
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Points Inside A Circle Equidistant From The Centre And Colinear With The Centre
Number of solutions: 2
GeoGebra construction
Steps
- We have the circle c and the points C and D, which lay inside the circle on a line going through the center, they are in the same distance from the center.
- Draw the line g, which is the axis of the line segment CD.
- The points of intersection of the circle c and the line g should be named E and F.
- Draw the lines j and k, the line j is the axis of the line segment DE and the line k is the axis od the line segment DF.
- On the intersection of the lines g and j lies on the point H, on the intersection of the lines g and k lies the point G.
- Draw the circles k1 and k2.
- The circle k1 has a center point in the point H, which is going through the points C and D and touches the circle c in the point E.
- The circle k2 has a center point in the point G, which is going through the points C and D and touches the circle c in the point F.