In anticipation of coming hardship, and to spare our horses, there was much walking done to-day; and Mr. Fitzpatrick and myself made the day's journey on foot. Somewhere near the mouth of this stream are the falls from which the river takes its name.

27th.--A fine view of Mount Hood this morning; a rose-colored mass of snow, bearing S. 85° W. by compass. The sky is clear, and the air cold; the thermometer 2.5° below zero, the trees and bushes glittering white, and the rapid stream filled with floating ice.

Stiletsi and the White Crane, two Indian chiefs who had accompanied us thus far, took their leave, and we resumed our journey at 10 o'clock. We ascended by a steep hill from the river bottom, which is sandy, to a volcanic plain, around which lofty hills sweep in a regular form. It is cut up by gullies of basaltic rock, escarpments of which appear everywhere in the hills. This plain is called the Taih prairie, and is sprinkled with some scattered pines. The country is now far more interesting to a traveler than the route along the Snake and Columbia rivers. To our right we had always the mountains, from the midst of whose dark pine forests the isolated snowy peaks were looking out like giants. They served us for grand beacons to show the rate at which we advanced in our journey. Mount Hood was already becoming an old acquaintance, and, when we ascended the prairie, we obtained a bearing to Mount Jefferson, S. 23° W. The Indian superstition has peopled these lofty peaks with evil spirits, and they have never yet known the tread of a human foot. Sternly drawn against the sky, they look so high and steep, so snowy and rocky, that it appears almost impossible to climb them; but still a trial would have its attractions for the adventurous traveler. A small trail takes off through the prairie, towards a low point in the range, and perhaps there is here a pass into the Wahlamette valley. Crossing the plain, we descended by a rocky hill into the bed of a tributary of Fall river, and made an early encampment. The water was in holes, and frozen over; and we were obliged to cut through the ice for the animals to drink. An ox, which was rather troublesome to drive, was killed here for food.

The evening was fine, the sky being very clear, and I obtained an immersion of the third satellite, with a good observation of an emersion of the first; the latter of which gives for the longitude, 121° 02' 43"; the latitude, by observation, being 45° 06' 45". The night was cold--the thermometer during the observations standing at 9°.

28th.--The sky was clear in the morning, but suddenly clouded over, and at sunrise it began to snow, with the thermometer at 18°.

We traversed a broken high country, partly timbered with pine, and about noon crossed a mountainous ridge, in which, from the rock occasionally displayed, the formation consists of compact lava. Frequent tracks of elk were visible in the snow. On our right, in the afternoon, a high plain, partially covered with pine, extended about ten miles, to the foot of the Cascade mountains.

At evening we encamped in a basin narrowly surrounded by rocky hills, after a day's journey of twenty-one miles. The surrounding rocks are either volcanic products, or highly altered by volcanic action, consisting of quartz and reddish-colored silicious masses.

29th.--We emerged from the basin, by a narrow pass, upon a considerable branch of Fall river, running to the eastward through a narrow valley. The trail, descending this stream, brought us to a locality of hot springs, which were on either bank. Those on the left, which were formed into deep handsome basins, would have been delightful baths, if the outer air had not been so keen, the thermometer in these being at 89°. There were others on the opposite side, at the foot of an escarpment, in which the temperature of the water was 134°. These waters deposited around the spring a brecciated mass of quartz and feldspar, much of it of a reddish color.

We crossed the stream here, and ascended again to a high plain, from an elevated point of which we obtained a view of six of the great peaks-- Mount Jefferson, followed to the southward by two others of the same class; and succeeding, at a still greater distance to the southward, were three other lower peaks, clustering together in a branch ridge. These, like the great peaks, were snowy masses, secondary only to them; and, from the best examination our time permitted, we are inclined to believe that the range to which they belong is a branch from the great chain which here bears to the westward. The trail, during the remainder of the day, followed near to the large stream on the left, which was continuously walled in between high rocky banks. We halted for the night on a little by-stream.

30th.--Our journey to-day was short. Passing over a high plain, on which were scattered cedars, with frequent beds of volcanic rock in fragments interspersed among the grassy grounds, we arrived suddenly on the verge of the steep and rocky descent to the valley of the stream we had been following, and which here ran directly across our path, emerging from the mountains on the right. You will remark that the country is abundantly watered with large streams, which pour down from the neighboring range.