Because the distance from point P to lines N and M is equal, there are two situations:

(1)N∑M, a parallel line with the same distance p between n and m, this line and straight line L have only one intersection at most (there may be no intersection).

(2) N and M intersect, and straight lines N and M intersect into four angles, which can be used as bisectors of two angles. These two bisectors and the straight line L have at most two intersections (an intersection and no intersection also exist, and if one of them coincides with the straight line L, there can be countless points).