In a note from the Department of State dated 28th April, 1835, Sir Charles R. Vaughan was assured that his prompt suggestion, as His Britannic Majesty's minister, that a negotiation should be opened for the establishment of a conventional boundary between the two countries was duly appreciated by the President, who, had he possessed like powers with His Majesty's Government over the subject, would have met the suggestion in a favorable spirit. The Secretary observed that the submission of the whole subject or any part of it to a new arbitrator promised too little to attract the favorable consideration of either party; that the desired adjustment of the controversy was consequently to be sought for in the application of some new principle to the controverted question, and that the President thought that by a faithful prosecution of the plan submitted by his direction a settlement of the boundary in dispute according to the terms of the treaty of 1783 was attainable. With regard to the rule of practical surveying offered as the basis of the American proposition, he said if it should become material to do so--which was not to be anticipated--he would find no difficulty either in fortifying the ground occupied by this Government in this regard or in satisfying Sir Charles that the instance brought into notice by His Britannic Majesty's Government of a supposed departure from the rule was not at variance with the assertion of Mr. Livingston repeated by Mr. McLane. The Secretary therefore limited himself to the remark that the line of demarcation referred to by Sir Charles was not established as the true boundary prescribed by the treaty of 1783, but was a conventional substitute for it, the result of a new negotiation controlled by other considerations than those to be drawn from that instrument only.