A '''geodesic''' is the [[path]] of shortest [[distance]] between two [[point]]s in a [[metric]] [[Curvature|curved]] [[geometry]]. Because of the [[curvature]], these distances are usually greater than the distance of a straight [[line]] between the two points. These geometries defy the common saying that "The shortest distance between two points is a line"; in fact, it's a geodesic. | A '''geodesic''' is the [[path]] of shortest [[distance]] between two [[point]]s in a [[metric]] [[Curvature|curved]] [[geometry]]. Because of the [[curvature]], these distances are usually greater than the distance of a straight [[line]] between the two points. These geometries defy the common saying that "The shortest distance between two points is a line"; in fact, it's a geodesic. |