Switch for railway points comprising a geometric trace forming over the whole of its length at least one angle with the main axis of displacement of a vehicle wheel impacting the switch at a considered point, the angle formed having a discontinuous variation over the length of the switch, such that this angle generates a force of impact which is inversely proportional to the probability of impact between a vehicle wheel and the switch at the considered point, the angle of impact being thus smaller at the end of the switch where the probability of impact is the greatest and larger along the switch when the probability of impact decreases, characterised in that the geometric trace in a direction oriented from the entry to the exit of the railway points has - a first straight portion forming a first angle with the main axis of displacement of a vehicle wheel and positioned over the distance of the switch which bears at least all of the points of impact which may exist between the switch and a perfect wheel model of the vehicle having a theoretic operating model, said first portion being formed by the length of the switch located between the end of the switch and the point of the switch at which the lateral displacement imposed by the switch on this perfect wheel model corresponds to the difference which exists between on the one hand the width separating two perfect wheel models as opposed to a vehicle corresponding to theoretical operating models and on the other hand the width separating the two parallel rails of a railway network, - a second portion (2a, 2b) forming at least a second angle with the main axis of displacement of a vehicle wheel such that this second angle is at least greater than the first angle and is positioned over the distance of the switch which bears at least all of the points of impact which may exist between the switch and a non-perfect wheel model of a vehicle, the operating model of which is more remote from the theoretical operating model of a perfect wheel and which are not positioned on the first portion of the switch, said second portion (2a, 2b) being then formed by the length of the switch located between the first portion and at least the point of the switch at which the lateral displacement imposed by the switch on this non-perfect wheel model corresponds to the difference between on the one hand the width which separates two non-perfect wheels as opposed to a vehicle having operating models which are furthest from the theoretical model of the perfect wheel, and on the other hand the width which separates the two parallel rails of a railway network, - a third portion extending the second portion and forming a curve with a defined curvature. - a first straight portion forming a first angle with the main axis of displacement of a vehicle wheel and positioned over the distance of the switch which bears at least all of the points of impact which may exist between the switch and a perfect wheel model of the vehicle having a theoretic operating model, said first portion being formed by the length of the switch located between the end of the switch and the point of the switch at which the lateral displacement imposed by the switch on this perfect wheel model corresponds to the difference which exists between on the one hand the width separating two perfect wheel models as opposed to a vehicle corresponding to theoretical operating models and on the other hand the width separating the two parallel rails of a railway network, - a second portion (2a, 2b) forming at least a second angle with the main axis of displacement of a vehicle wheel such that this second angle is at least greater than the first angle and is positioned over the distance of the switch which bears at least all of the points of impact which may exist between the switch and a non-perfect wheel model of a vehicle, the operating model of which is more remote from the theoretical operating model of a perfect wheel and which are not positioned on the first portion of the switch, said second portion (2a, 2b) being then formed by the length of the switch located between the first portion and at least the point of the switch at which the lateral displacement imposed by the switch on this non-perfect wheel model corresponds to the difference between on the one hand the width which separates two non-perfect wheels as opposed to a vehicle having operating models which are furthest from the theoretical model of the perfect wheel, and on the other hand the width which separates the two parallel rails of a railway network, - a third portion extending the second portion and forming a curve with a defined curvature.