The cylindrical system is defined with respect to the Cartesian system. In lieu of x and y , the cylindrical system uses ρ , the distance measured from the closest point on the z axis,1 and ϕ ,...The cylindrical system is defined with respect to the Cartesian system. In lieu of x and y , the cylindrical system uses ρ , the distance measured from the closest point on the z axis,1 and ϕ , the angle measured in a plane of constant z , beginning at the +x axis ( ϕ=0 ) with ϕ increasing toward the +y direction.