The President of the United States of America and the First Consul of the French Republic in the name of the French People desiring to remove all Source of misunderstanding relative to objects of discussion mentioned in the Second and fifth articles of the Convention of the 8th Vendémiaire an 9 (30 September 1800) relative to the rights claimed by the United States in virtue of the Treaty concluded at Madrid the 27 of October 1795, between His Catholic Majesty & the Said United States, & willing to Strengthen the union and friendship which at the time of the Said Convention was happily reestablished between the two nations have respectively named their Plenipotentiaries to wit The President of the United States, by and with the advice and consent of the Senate of the Said States;