The treaty of 1783 provides that the boundary from the source of the St. Croix shall be drawn "directly north." In relation to this expression no possible doubt can arise. It is neither susceptible of more than a single meaning nor does it require illustration from any extrinsic source. The undersigned, therefore, do not consider that so much of the argument of Messrs. Mudge and Featherstonhaugh as attempts to show that this line ought to be drawn in any other direction than due north requires any reply on the part of the United States. Admitting that the words had been originally used as a mistranslation of terms in the Latin grant of James I to Sir William Alexander, the misconception was equally shared by both parties to the treaty of 1783; and it will be shown hereafter that this misconception, if any, had its origin in British official papers. Were it capable of proof beyond all possibility of denial that the limit of the grant to Sir William Alexander was intended to be a line drawn toward the northwest instead of the north it would not affect the question. So far as that grant was used by American negotiators to illustrate the position of the northwest angle of Nova Scotia it would have failed to fulfill the object, but such failure in illustration does not involve the nullity of the treaty itself. That the translation which has hitherto been universally received as correct of the terms in the grant to Sir William Alexander is the true one, and that the new construction which is now attempted to be put upon it is inaccurate, will be shown in another place,[45] where will also be exhibited an error committed in rendering the sense of another part of that instrument. The consideration of the correctness or incorrectness of the several translations can form no part of the present argument. While, therefore, it is denied that Messrs. Mudge and Featherstonhaugh have succeeded in showing that the grant to Sir William Alexander has been mistranslated, it is maintained that an error in the translation of this document can have no effect in setting aside the simple and positive terms of the treaty of 1783. That treaty and its confirmation in the treaty of Ghent must be admitted to be null and void before that line can be drawn in any other direction than "due north." [Footnote 45: See Note V, pp. 143-147.] III.--NORTH WEST ANGLE OF NOVA SCOTIA.