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According to G. Pólya, the method of finding geometric objects by intersection.
1. For example, the centers of all circles tangent to a straight line at a given point lie on a line that passes through and is perpendicular to .
2. In addition, the circle centered at with radius is the locus of the centers of all circles of radius passing through .
The intersection of and consists of two points and which are the centers of two circles of radius tangent to at .
Many constructions with straightedge and compass are based on this method, as, for example, the construction of the center of a given circle by means of the perpendicular bisector theorem.