  It is known that every germ of an analytic set is homeomorphic to the germ of
an algebraic set. In this paper we show that the homeomorphism can be chosen in
such a way that the analytic and algebraic germs are tangent with any
prescribed order of tangency. Moreover, the space of arcs contained in the
algebraic germ approximates the space of arcs contained in the analytic one, in
the sense that they are identical up to a prescribed truncation order.
