The geographical positions of Cairo, Alexandria, and Fezzan, have undergone some small change in the present maps,[14] in consequence of recent, and it may be supposed, more accurate information. Cairo is placed 2 min. and Alexandria 13, more to the west, in consequence of the French observations: and Mourzouk, the capital of Fezzan, 39 G. miles more to the south-east, on a general result of the authorities; amongst which Mr. Horneman’s is allowed its due weight. Some other trifling changes have been made, in the positions of Siwah, and of El Bareton, or _Parætonium_: but none of them are more than shades of difference, in respect of the geography at large. The chief alteration is that of Mourzouk, which, by the former accounts, was said to lie _directly south_ from Mesurata: and this alteration is grounded on the line of distance of Mr. Horneman, which does not allow of so great an interval between Egypt and Fezzan, as that position requires, by nearly 25 G. miles; which after all, is no great proportion, in more than 800. It is conceived that Mr. Horneman’s _time_, although kept in a coarse way, ought still to be preferred to the mere report of the bearing from Mesurata, on a distance of seventeen or eighteen journies. I shall begin by tracing in detail the route of Mr. Horneman from Egypt to Fezzan, dividing it into four parts: 1. From Cairo to Siwah: 2. Siwah to Augila: 3. Augila to Fezzan: and 4. Remarks on the position of Mourzouk. I. _Cairo to Siwah._ Mr. Horneman’s time may be taken at _about_ 123 hours,[15] which at 2,05 G. miles, the ordinary caravan rate, reduced to direct distance, is equal to 252 G. miles. If taken at 2½ B. miles per hour, which is the ordinary road distance, with an allowance of ¹⁄₂₀ for inflexions, (the Desert routes are remarkably straight,) we have 255. Now, Mr. Browne’s route, along the sea coast from Alexandria, and thence inland from the neighbourhood of _Parætonium_, gives about 259½, or 6½ more than the lowest of these calculations; 4½ more than the highest. Mr. Browne’s rout lay first along the coast, 75½ hours; from whence he made a course of about S 19 W (true) 62¼ hours, to Siwah, in the parallel of 29° 12′ by observation. Considering the sinuosities of the coast, which he kept to, almost the whole way, perhaps no more than 144, or 145 G. miles, ought to be allowed in direct distance. His station on the coast, at about 20 miles east of Parætonium, should be in lat. 31° 7′, according to M. D’Anville; so that the bearing of S 19 W cuts the parallel of Siwah, in longitude 26° 24′: and my former position of it, in the Geography of Herodotus, p. 574, is 26° 21′ 30″. And as Mr. Horneman does not profess to be perfectly accurate in his account of the time, (doubtless because he had lost his papers) I shall adopt the position given by Mr. Browne; but which differs, as has been shewn, only 4½ miles from the other.