Sir Charles R. Vaughan explained, under date of the 24th of March, with regard to his observation "that the mode in which it was proposed by the United States to settle the boundary was complicated; that he did not mean to apply it to the adoption of a rule in the settlement of disputed questions of location, but to the manner in which it is proposed by the United States that the new commission of survey shall be selected and constituted." On the 8th of December, 1834, Sir Charles R. Vaughan transmitted a note to the Department of State, in which, after a passing expression of the regret of His Majesty's Government that the American Government still declined to come to a separate understanding on the several points of difference with respect to which the elements of decision were fully before both Governments, but without abandoning the argument contained in his note of 10th February last, he addressed himself exclusively to the American proposition for the appointment of a new commission to be empowered to seek westward of the meridian of the St. Croix highlands answering to the description of those mentioned in the treaty of 1783. He stated with regard to the rule of surveying on which the proposition was founded that however just and reasonable it might be, His Majesty's Government did not consider it so generally established and recognized as Mr. McLane assumed it to be; that, indeed, no similar case was recollected in which the principle asserted had been put in practice; yet, on the contrary, one was remembered not only analogous to that under discussion, but arising out of the same article of the same treaty, in which the supposed rule was invested by the agents of the American Government itself; that the treaty of 1783 declared that the line of boundary was to proceed from the Lake of the Woods "in a due west course to the Mississippi," but it being ascertained that such a line could never reach that river, since its sources lie south of the latitude of the Lake of the Woods, the commissioners, instead of adhering to the natural object--the source of the Mississippi--and drawing a new connecting line to it from the Lake of the Woods, adhered to the arbitrary line to be drawn due west from the lake and abandoned the Mississippi, the specific landmark mentioned in the treaty.