Editing General position (section)

==Other contexts==
In [[intersection theory]], both in algebraic geometry and in [[geometric topology]], the analogous notion of [[Transversality (mathematics)|transversality]] is used: subvarieties in general intersect ''transversally,'' meaning with multiplicity 1, rather than being tangent or other, higher order intersections.

===General position for Delaunay triangulations in the plane===
When discussing [[Voronoi tessellation]]s and [[Delaunay triangulation]]s in the plane, a set of [[Point (geometry)|point]]s in the [[plane (mathematics)|plane]] is said to be in general position only if no four of them lie on the same circle and no three of them are collinear. The usual lifting transform that relates the Delaunay triangulation to the bottom half of a convex hull (i.e., giving each point ''p'' an extra coordinate equal to |''p''|<sup>2</sup>) shows the connection to the planar view: Four points lie on a circle or three of them are collinear exactly when their lifted counterparts are ''not'' in general linear position.