Our soundings, after leaving the island, deepened quickly to 30 and 35 fathoms. Six miles from it the depth decreased to 23 fathoms. We stood off and on during the night, the current setting North-North-West a mile an hour. The space between the Abrolhos and the main bears the name of Geelvink Channel, after Vlaming's ship, the first that ever passed through (A.D. 1680). The chief object of the Beagle's visit to the main was to ascertain the position of a good anchorage, before spoken of as reported at Swan River to be under the south-west end of Moresby's Flat-topped Range. The favourable account which Captain Grey had given of the country behind the range made the knowledge of a good anchorage in its neighbourhood of vast importance. Captain King missed this portion of the coast by crossing over to the Abrolhos, which he places some five miles too much to the westward, the lowness of the island deceiving him, as indeed it at first did us. The reef off the south-west end, however, he has rightly fixed. April 9. At daylight the ship was in 24 fathoms, fifteen miles from Wizard Hills, bearing South 70 degrees East. As we neared the shore, steering North-East by North we saw a low point, running out west from the south end of Moresby's Range, fronted by heavy breakers, particularly to the north-west. Behind, the water was quite smooth, and promised a snug anchorage. We passed round the reef in 13 1/2 fathoms, at the distance of a half, and three-quarters of a mile; but we did not haul into the bay until some suspicious spots had been sounded over by a boat. Finding not less than four and a half fathoms, we stood in, Mount Fairfax bearing east. The small table hill forming the north-west extreme of the Menai Hills, bearing North 11 degrees East, leads clear to the westward of the reef. Between this and the north point of the bay the water occasionally lifts suspiciously. Inside the depth is regular, five and six fathoms, fine white sand. CHAMPION BAY. To this anchorage was given the name of Champion Bay; whilst the projection sheltering it from the south-west was called Point Moore, after the Attorney-general at Swan River, who visited it in the Colonial schooner. We anchored early in the forenoon in four fathoms, Mount Fairfax bearing North 81 degrees East five miles and three-quarters; Point Moore South 49 degrees West one mile, the end of the reef North 60 degrees West also one mile, and a bare-topped brown sandhill, South 33 degrees East, three-quarters of a mile. Immediately under the last-mentioned the observations were made, placing that spot in latitude 28 degrees 47 minutes 8 seconds South and longitude 1 degree 9 minutes 20 seconds West of Swan River. A most singular ridge of very white sandhills lay a quarter of a mile to the eastward. ELEVATION OF THE HILLS. A plan of the bay was made, and the elevation of the neighbouring heights taken; Mount Fairfax proving to be 585 feet, and Wizard Peak 700 feet.