  For the d-dimensional model of a subcritical bond percolation (p<p_c) and a
point \vec{a} in Z^d, we prove that a cluster conditioned on connecting points
(0,...,0) and n\vec{a} if scaled by 1/(n|vec{a}|) along \vec{a} and by
1/sqrt{n} in the orthogonal direction converges asymptotically to Time x
(d-1)-dimensional Brownian Bridge.
