POINT • POINT • CIRCLE

Points Inside A Circle Equidistant From The Centre And Colinear With The Centre

Number of solutions: 2

GeoGebra construction

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Steps

  1. 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.
  2. Draw the line g, which is the axis of the line segment CD.
  3. The points of intersection of the circle c and the line g should be named E and F.
  4. 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.
  5. 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.
  6. Draw the circles k1 and k2.
  7. 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.
  8. 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.