The power of a point is a fundamental concept in geometry that refers to the product of the distance from the point to a given line or curve multiplied by the distance from the point to a given circle or other curved surface. This concept is also known as the radical of a circle, and it plays an important role in applications ranging from computer graphics to physics and engineering. Synonyms for the power of a point include the radical axis, the line of centers, and the locus of the centers of curvature. Other related concepts include the inverse of a point with respect to a circle and the properties of harmonic division in projective geometry.