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At noon we were about three leagues from the land, and in latitude 15° 37' S.; the northermost part of the main in sight bore N. 30 W.; and Hope Islands extended from S. 30 E. to S. 40 E. In this situation we had twelve fathom water, and several sand banks without us.

A little after sun rise I took several Azimuths with 4 Needles belonging to the Azimuth Compass, the mean result of which gave the Variation of 7 degrees 56 minutes East. At Noon we were by observation in the Latitude of 33 degrees 22 minutes South, and about 3 Leagues from the land, the Northermost part of which in sight bore North 19 degrees East. Tuesday, 8th.

At this time the Northermost point of Land we had in sight bore North-North-West, distance 10 Miles; this point I named Cape Manyfold, from the Number of high Hills over it; Latitude 22 degrees 43 minutes South; it lies North 20 degrees West, distant 17 Leagues from Cape Capricorn. We saw smokes by day and fires in the night upon the Main, and people upon one of the Islands. Monday, 28th.

At six in the evening, the wind falling, we hauled off E.N.E. and at this time the northermost land in sight bore N. by E. 1/2 E. At midnight, being in seventy fathom water, we brought-to till four in the morning, when we made sail in for the land; but at day-break, found our situation nearly the same as it had been at five the evening before, by which it was apparent that we had been driven about three leagues to the southward, by a tide or current, during the night.

The southermost part of Borneo which we saw, lies in latitude00' south, and longitude 116° 35' east, but there is land to the southward of that, which appeared to us like two islands, on the northermost of which are two remarkable round hills; whether these are really islands, or any part of Borneo, we could not ascertain; but in all the charts the south part of Borneo is laid down farther south than that land which we at first supposed to be it, and agrees nearly with this which appeared to us like two islands, the southermost of which is in latitude15' south, and longitude 115° 16' east.

At noon, we were about three leagues from the shore, in latitude 25° 84' S., longitude 206° 45' W.: Double Island Point bore S. 1/4 W. and the northermost land in sight N. 1/4 E. This part of the coast, which is of a moderate height, is more barren than any we had seen, and the soil more sandy.

Gentle breezes at North. M.d and pleasant weather. Keept plying all the day, but got very little to Windward; at Noon was in the Latitude of 34 degrees 32 minutes South, the Northermost inland set yesterday at noon bore North-West by West, distant 6 or 7 Leagues. Tuesday, 12th.

At this time our latitude was 16° 20' S. Cape Grafton bore S. 29 E. distant forty miles, and the northermost point of land in sight N. 20 W.; our depth of water was fifteen fathom. Between this point and Cape Grafton, the shore forms a large, but not a very deep bay, which being discovered on Trinity Sunday, I called Trinity Bay.

When we were at anchor, the harbour from which we sailed bore S. 70 W., distant about five leagues; the northermost point of the main in sight, which I named Cape Bedford, and which lies in latitude 15° 16' S. longitude 214° 45' W., bore N. 20 W., distant three leagues and a half; but to the N.E. of this cape we could see land which had the appearance of two high islands: The turtle banks bore east, distant one mile; our latitude by observation was 15° 32' S., and our depth of water in standing off from the land was from three and a half to fifteen fathom.

The other 2 harbours lay to the Southward of this, and not far from the South end of the Island. In both of them are good Anchorage in 10, 12, and 14 fathoms water: they are readily known by 3 small woody Islands that lay at their entrance, the Southermost Harbour lies within and to the Southward of the Southermost Island, and the other lies between the Northermost.