In some previous papers [1], [2], [3], [4] the authors studies some Laplace type problems for some lattice with different foundamental cell. We want to compute the probability that a segment of random position and of constant lenght intersects a side of a lattice with cell rapresented in fig.1. 1 Main Results Let (a)the lattice with the fundamental cell C 0 rapresented in fig.1

In some previous papers [1], [2], [3] and [4] the authors studies same Laplace problems with different fundamental cells. In this paper we consider a lattice with fundamental cell rapresented in fig.1 and we compute the probability that a segment of random position and constant length l intersect a side of lattice. Then we demonstrate that there is a system of valors for the parameters α, a, b, l for which the probability demonstrated is maxim.

In this paper we consider two regular lattices with the cell represented in the figure 1, and we compute the probability that a segment of random position and of costant lenght intersects a side of lattice. In particular we obtain the probability determinated in the previous work, then the Laplace probability.

In some previous papers [1] figure 1 and we compute the probability that a segment of random position and constant length intersects a side of lattice. Then we prove that there are values for parameters that determine the lattice and the length of segment for which the probability determined is maximum.

type problems for a irregular lattice. In this paper paper we determine the probability that a random segment of constant lenght intersects a side of the lattice with fundamental cell rapresented in fig. 1. Let (a) the lattice with fundamental cell C 0 rappresented in fig. 1