In the execution of the treaties of peace of November, 1782, and September, 1783, between the United States and Great Britain, and which terminated the war of our independence, a line of boundary was drawn as the demarcation of territory between the two countries, extending over near 20 degrees of latitude, and ranging over seas, lakes, and mountains, then very imperfectly explored and scarcely opened to the geographical knowledge of the age. In the progress of discovery and settlement by both parties since that time several questions of boundary between their respective territories have arisen, which have been found of exceedingly difficult adjustment. At the close of the last war with Great Britain four of these questions pressed themselves upon the consideration of the negotiators of the treaty of Ghent, but without the means of concluding a definitive arrangement concerning them. They were referred to three separate commissions consisting of two commissioners, one appointed by each party, to examine and decide upon their respective claims. In the event of a disagreement between the commissioners it was provided that they should make reports to their several Governments, and that the reports should finally be referred to the decision of a sovereign the common friend of both. Of these commissions two have already terminated their sessions and investigations, one by entire and the other by partial agreement. The commissioners of the fifth article of the treaty of Ghent have finally disagreed, and made their conflicting reports to their own Governments. But from these reports a great difficulty has occurred in making up a question to be decided by the arbitrator. This purpose has, however, been effected by a fourth convention, concluded at London by the plenipotentiaries of the two Governments on the 29th of September last. It will be submitted, together with the others, to the consideration of the Senate. While these questions have been pending incidents have occurred of conflicting pretensions and of dangerous character upon the territory itself in dispute between the two nations. By a common understanding between the Governments it was agreed that no exercise of exclusive jurisdiction by either party while the negotiation was pending should change the state of the question of right to be definitively settled. Such collision has, nevertheless, recently taken place by occurrences the precise character of which has not yet been ascertained. A communication from the governor of the State of Maine, with accompanying documents, and a correspondence between the Secretary of State and the minister of Great Britain on this subject are now communicated. Measures have been taken to ascertain the state of the facts more correctly by the employment of a special agent to visit the spot where the alleged outrages have occurred, the result of whose inquiries, when received, will be transmitted to Congress.