👉 In mathematics, a circumstantiation is a mathematical construction that represents the lengths of segments in Euclidean plane geometry. It is an operation on points or lines within Euclidean space that involves adding up the distances between pairs of points or lines. The goal of this construction is to find the shortest path between any two points on the surface of the Euclidean plane, given a certain number of constraints. The most common form of such a construction is called the "circumflex" operation, which produces