An aircraft is provided with at least one piece of aeronautic equipment 25, such as a pitot tube, comprising a part intended to be arranged at a skin 27 of the aircraft and means for heating the part. The heating means comprise a thermodynamic loop comprising a closed circuit in which a heat transfer fluid circulates. The closed circuit comprises an evaporator 14 associated with functional means (70 fig 6) of the aircraft forming a heat source giving off heat during their operation and a condensing zone 15 in which a condensation of the heat transfer fluid can occur in the appendage to heat it. Outside the evaporator, the circuit in which the fluid circulates is formed by a tubular channel 39 with an empty section. The equipment may be produced using ALM technology.