Sitting by the fire on the river bank, and waiting for the immersion of the satellite, which did not take place until after midnight, we heard the monotonous song of the Indians, with which they accompany a certain game of which they are very fond. Of the poetry we could not judge, but the music was miserable.

11th.--The morning was clear, with a light breeze from the east, and a temperature at sunrise of 33°. A part of a bullock purchased at the fort, together with the boat, to assist him in crossing, was left here for Mr. Fitzpatrick, and at 11 o'clock we resumed our journey; and directly leaving the river, and crossing the artemisia plain, in several ascents we reached the foot of a ridge, where the road entered a dry sandy hollow, up which it continued to the head; and, crossing a dividing ridge, entered a similar one. We met here two poor emigrants, (Irishmen,) who had lost their horses two days since--probably stolen by the Indians; and were returning to the fort, in hopes to hear something of them there. They had recently had nothing to eat; and I halted to unpack an animal, and gave them meat for their dinner. In this hollow, the artemisia is partially displaced on the hill-sides by grass; and descending it -- miles, about sunset we reached the Rivière aux Malheurs, (the unfortunate or unlucky river,)--a considerable stream, with an average breadth of 50 feet, and, at this time, 18 inches' depth of water.

The bottom lands were generally one and a half mile broad, covered principally with long dry grass; and we had difficulty to find sufficient good grass for the camp. With the exception of a bad place of a few hundred yards long, which occurred in rounding a point of hill to reach the ford of the river, the road during the day had been very good.

12th.--The morning was clear and calm, and the thermometer at sunrise 23°. My attention was attracted by a smoke on the right side of the river, a little below the ford, where I found, on the low banks near the water, a considerable number of hot springs, in which the temperature of the water was 193°. The ground, which was too hot for the naked foot, was covered above and below the springs with an incrustation of common salt, very white and good, and fine-grained.

Leading for five miles up a broad dry branch of the Malheurs river, the road entered a sandy hollow, where the surface was rendered firm by the admixture of other rock; being good and level until arriving near the head of the ravine, where it became a little rocky, and we met with a number of sharp ascents over an undulating surface. Crossing here a dividing ridge, it becomes an excellent road of gradual descent down a very marked hollow; in which, after ten miles, willows began to appear in the dry bed of a head of the Rivière aux Bouleaux, (Birch river;) and descending seven miles, we found, at its junction with another branch, a little water, not very good or abundant, but sufficient, in case of necessity, for a camp. Crossing Birch river, we continued for about four miles across a point of hill; the country on the left being entirely mountainous, with no level spot to be seen; whence we descended to Snake river--here a fine- looking stream, with a large body of water and a smooth current; although we hear the roar, and see below us the commencement of rapids, where it enters among the hills. It forms here a deep bay, with a low sand island in the midst; and its course among the mountains is agreeably exchanged for the black volcanic rock. The weather during the day had been very bright and extremely hot; but, as usual, so soon as the sun went down, it was necessary to put on overcoats.

I obtained this evening an observation of an emersion of the first satellite, and our observations of the evening place this encampment in latitude 44° 17' 36", and longitude 116° 56' 45", which is the mean of the results from the satellite and chronometer. The elevation above the sea is 1,880 feet. At this encampment, the grass is scanty and poor.

13th.--The morning was bright, with the temperature at sunrise 28°. The horses had strayed off during the night, probably in search of grass; and, after a considerable delay, we had succeeded in finding all but two, when, about nine o'clock, we heard the sound of an Indian song and drum approaching; and shortly after, three Cayuse Indians appeared in sight, bringing with them the two animals. They belonged to a party which had been on a buffalo-hunt in the neighborhood of the Rocky mountains, and were hurrying home in advance. We presented them with some tobacco and other things, with which they appeared well satisfied, and, moderating their pace, traveled in company with us.

We were now about to leave the valley of the great southern branch of the Columbia river, to which the absence of timber, and the scarcity of water, give the appearance of a desert, to enter a mountainous region, where the soil is good, and in which the face of the country is covered with nutritious grasses and dense forest--land embracing many varieties of trees peculiar to the country, and on which the timber exhibits a luxuriance of growth unknown to the eastern part of the continent and to Europe. This mountainous region connects itself in the southward and westward with the elevated country belonging to the Cascade or California range; and, as will be remarked in the course of the narrative, forms the eastern limit of the fertile and timbered lands along the desert and mountainous region included within the Great Basin--a term which I apply to the intermediate region between the Rocky mountains and the next range, containing many lakes, with their own system of rivers and creeks, (of which the Great Salt is the principal,) and which have no connection with the ocean, or the great rivers which flow into it. This Great Basin is yet to be adequately explored. And here, on quitting the banks of a sterile river, to enter on arable mountains, the remark may be made, that, on this western slope of our continent, the usual order or distribution of good and bad soil is often reversed; the river and creek bottoms being often sterile, and darkened with the gloomy and barren artemisia; while the mountain is often fertile, and covered with rich grass, pleasant to the eye, and good for flocks and herds.

Leaving entirely the Snake river, which is said henceforth to pursue its way through canons, amidst rocky and impracticable mountains, where there is no possibility of traveling with animals, we ascended a long and steep hill; and crossing the dividing ridge, came down into the valley of Burnt river, which here looks like a hole among the hills. The average breadth of the stream here is thirty feet; it is well fringed with the usual small timber; and the soil in the bottoms is good, with better grass than we had lately been accustomed to see.

We now traveled through a very mountainous country; the stream running rather in a ravine than a valley, and the road is decidedly bad and dangerous for single wagons, frequently crossing the stream where the water is sometimes deep; and all the day the animals were fatigued in climbing up and descending a succession of steep ascents, to avoid the precipitous hill-sides; and the common trail, which leads along the mountain-side at places where the river strikes the base, is sometimes bad even for a horseman. The mountains along this day's journey were composed, near the river, of a slaty calcareous rock in a metamorphic condition. It appears originally to have been a slaty sedimentary limestone, but its present condition indicates that it has been altered, and has become partially crystalline--probably from the proximity of volcanic rocks. But though traveling was slow and fatiguing to the animals, we were delighted with the appearance of the country, which was green and refreshing after our tedious journey down the parched valley of Snake river. The mountains were covered with good bunch-grass, (festuca;) the water of the streams was cold and pure; their bottoms were handsomely wooded with various kinds of trees; and huge and lofty picturesque precipices where the river cut through the mountain.