This originally unlooked for and truly singular termination of a river, which we had anxiously hoped and reasonably expected would have led to a far different conclusion, filled us with the most painful sensations. We were full five hundred miles west of Sydney, and nearly in its latitude; and it had taken us ten weeks of unremitted exertion to proceed so far. The nearest part of the coast about Cape Bernouilli, had it been accessible, was distant about a hundred and fifty miles. We had demonstrated beyond the shadow of a doubt, that no river whatever could fall into the sea, between Cape Otway and Spencer's Gulph; at least none deriving their waters from the eastern coast, and that the country south of the parallel of 34 degrees, and west of the meridian of 147 degrees 30' East, was uninhabitable and useless for all the purposes of civilized man. It now became my duty to make our remaining resources as extensively useful to the colony as our circumstances would allow: these were much diminished: an accident to one of the boats, in the outset of the expedition, had deprived us of one-third of our dry provisions, of which we had originally but eighteen weeks; and we had been in consequence for some time on a reduced ration of two quarts of flour per man, per week. To return to the depot by the route we had come, would have been as useless as impossible; and seriously considering the spirit of your Excellency's instructions, I determined upon the most mature deliberation, to take such a route on our return, as would, I hope, best comport with your Excellency's views, had our present situation ever been contemplated. Returning down the Lachlan, I re-commenced the survey of it from the point in which it was made, the 23d of June; intending to continue up its banks until its connection with the marshes, where we quitted it on the 17th May, was satisfactorily established, as also to ascertain if any streams might have escaped our research. The connection with all the points of the survey previously ascertained, was completed between the 19th of July and the 3d of August. In the space passed over within that period, the river had divided into various branches, and formed three fine lakes, which, with one near the determination of our journey westward, were the only considerable pieces of water we had yet seen; and I now estimated that the river, from the place where first made by Mr. Evans, had run a course, taking all its windings, of upwards of twelve hundred miles; a length of course altogether unprecedented, when the _single_ nature of the river is considered, and that its _original_ is its _only_ supply of water during that distance.