A part obtained by selective melting of a powder on a support plate, this part comprising a main element and rigid secondary elements, these secondary elements supporting the main element between a lower surface of this main element and the support plate. Secondary elements are intended to be detached from the main element. The lower surface of the main element thus comprises a first surface portion and at least one second surface portion, and the first surface portion makes, with the support plate, an angle α1 of less than a predetermined value, and the second surface portion makes, with this support plate, an angle α2 greater than or equal to this predetermined value. The first surface portion is therefore entirely supported by the secondary elements and the second surface portion is partially supported by the secondary elements. The predetermined value is between 20° and 30°.