On the re-establishment of his health, Horneman found that some months yet must elapse before the caravan could be expected from Bornou: and in the interval of public resort from the arrival or passage of the caravans, Mourzouk affording no further objects of curiosity or interest, he determined to proceed to Tripoly, for the purpose of transmitting to the Committee of the African Association, such intelligence as he had hitherto collected in their service. He arrived at Tripoly, after a journey of two months, about the middle of August; transacted the business he had in view, and on the 1st of December, 1799, set out on his return to Mourzouk, where he arrived January 20th, 1800. Two letters from Mourzouk have been since received, and at date of writing the last, Mr. Horneman was on _the eve of setting out with the caravan for Bornou_; and with intention from that remote kingdom to prosecute further discoveries to the westward, and in the heart of Africa. The letters from Mourzouk are as follow: “SIR, “_Mourzouk, February_ 20, 1800. “I left Tripoly the 1st of December, 1799, and arrived here (the capital of Fezzan) January 20th, 1800, after a safe and good journey, though protracted and slow. I am in the best health, and with fair probability of its continuance. “The route from hence to Soudan, is not yet secure enough for me to undertake proceeding by way of the Agades. “There is now at this place, a Shereef of Bornou, a man of sense, and very much considered by the Sultan of that country. I have made him my friend, and it is in his company I shall depart from this place about the 15th of March for Bornou, whence in the months of August or September, I think to reach Cashna, distant from Bornou about fifteen days journey. “I shall write as often as opportunity offers, that at least some letters may arrive for your information, and the tranquillity of my family. “I remain, with great esteem, “SIR, “Your most obedient, “FREDERICK HORNEMAN.” _Right Hon. Sir Joseph Banks, K. B. President of the Royal Society, &c._ “SIR, “_Mourzouk, April_ 6, 1800. “Our caravan is on the point of setting off for Bornou, myself shall join it in the evening. “Being in an excellent state of health, perfectly inured to the climate, sufficiently acquainted with the manners of my fellow-travellers, speaking the Arabic language, and somewhat of the Bornou tongue, and being well armed and not without courage, and under protection of two great Shereefs, I have the best hopes of success in my undertaking. “The Soudan caravan left this place about a month ago; I did well not to join it, as some time past a number of Tibbo were seen hovering, with an intention of attacking that caravan.