Thus if x is first replaced with x+ˉg/ˉc and y with y+ˉf/ˉc, and then the new x is replaced with x \cos θ − y \sin θ and the new y with \(x \sin θ...Thus if x is first replaced with x + \bar{g} / \bar{c} and y with y + \bar{f}/\bar{c}, and then the new x is replaced with x \cos θ − y \sin θ and the new y with x \sin θ + y \cos θ, the Equation will take the familiar form of a conic section with its major or transverse axis coincident with the x axis and its centre at the origin.