  This infinitesimal tangent vector transport Weyl defines as  infinitesimal parallel displacement if and only if there  exists a coordinate system \(\overline{x}\), called a geodesic coordinate system for the neighborhood of \(p\), relative to which the transported  tangent vector \(\overline{v}_{q}\) at \(q\)  possesses the same components as the original tangent vector \(\overline{v}_{p}\) at \(p\); that is, 