Beck's Theorem is a result in the field of combinatorial geometry, specifically concerning the arrangement of points in the plane. It states that for any finite set of points in the plane, there exists a subset of these points that can be separated from the rest by a line. This theorem highlights the relationship between geometric configurations and combinatorial properties. The theorem is named after J. Beck, who contributed significantly to the study of combinatorial geometry. It has implications in various areas, including graph theory and discrete mathematics, where understanding point arrangements can lead to insights in optimization and algorithm design.