In a letter dated the 15th of August, the above communications were acknowledged, and the British commander informed that the American commander-in-chief was also on the south coast: that all official documents must be submitted to him, and that the reply of the 12th instant, with its inclosure, had been forwarded accordingly. The British commodore soon arrived at Loanda, and after an exchange of salutes, an interview of three hours between the two commodores took place. The captures of the Navarre, Volusia, and other vessels, with cases of interference with vessels claiming American nationality, were fully and freely discussed. The British commodore claimed that the vessels in question, were wholly, or in part Brazilian; adding, that had they been known clearly as American, no British officer would have presumed to capture, or interfere with them. The American commodore argued from documents and other testimony, that _bonâ fide_ American vessels had been interfered with, and whether engaged in legal or illegal trade, they were in no sense amenable to British cruisers; the United States had made them responsible to the American government alone--subject to search and capture by American cruisers, on good grounds of suspicion and evidence of being engaged in the slave-trade; which trade the United States had declared to be piracy in a municipal sense--this offence not being piracy by the laws of nations: adding, in case of slavers, “we choose to punish our own rascals in our own way.” Several discussions, at which the commander of the Perry was present, subsequently took place, without any definite results, or at least while that vessel remained at Loanda. These discussions were afterwards continued. In the commodores, both nations were represented by men of ability, capable of appreciating, expressing and enforcing the views of their respective governments. Every person interested in upholding the rights of humanity, or concerned in the progress of Africa, will sympathize with the capture and deliverance of a wretched cargo of African slaves from the grasp of a slaver, irrespective of his nationality. But it is contrary to national honor and national interests, that the right of capture should be entrusted to the hands of any foreign authority. In a commercial point of view, if this were granted, legal traders would be molested, and American commerce suffer materially from a power which keeps afloat a force of armed vessels, more than four times the number of the commissioned men-of-war of the United States. The deck of an American vessel under its flag, is the territory of the United States, and no other authority but that of the United States must ever be allowed to exercise jurisdiction over it. Hence is apparent the importance of a well-appointed United States squadron on the west coast of Africa.