Problems

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Construct a straight line passing through a given point and tangent to a given circle.

Three segments whose lengths are equal to a,b and c are given. Construct a segment of length: a) ab/c; b) ab.

Inside an angle two points, A and B, are given. Construct a circle which passes through these points and cuts the sides of the angle into equal segments.

Two segments AB and AB are given on a plane. Construct the point O so that the triangles AOB and AOB are similar (the same letters denote the corresponding vertices of similar triangles).