The longitude, when calculated by either altitudes of the sun, for the time-piece (of Kendal's constructing, which was sent out by the Board of Longitude), or by the means of several sets of lunar observations, which were taken by Captain Hunter, Lieutenant Bradley, and Lieutenant Dawes, was constantly shown to the convoy, for which purpose the signal was made for the whole to pass under the stern of the _Sirius_, when a board was set up in some conspicuous part of the ship with the longitude marked on it to that day at noon. A good look-out (to make use of the sea-phrase usual on these occasions) was kept for an island, not very well known or described, which was laid down in some charts, nearly in the track which we were to cross, but it was not seen by any of the ships of the fleet; nor was implicit credit given to its existence, although named (the island of Ascension) and a latitude and longitude assigned to it. It was conjectured, that the islands of Martin Vas and Trinidada, lying within about five leagues of each other, had given rise to the idea of a new island, and that Ascension was in reality one or other of those islands. Only two accidents happened during the passage to the Brazils. A seaman belonging to the _Alexander_ was so unfortunate as to fall overboard, and could not be recovered--and a female convict on board the _Prince of Wales_ was so much bruised by the falling of a boat from off the booms (which, owing to the violent motion of the ship, had got loose) that she died the following day, notwithstanding the professional skill and humane attention of the principal surgeon; for as the boat in launching forward fell upon the neck and crushed the vertebrae and spine, all the aid he could render her was of no avail. August.] On Thursday the 2nd of August we had the coast of South America in sight; and the head-land, named Cape Frio, was distinctly seen before the evening closed in. Our time-piece had given us notice when to look out for it, and the land was made precisely to the hour in which it had taught us to expect it. It was not, however, until the evening of the 4th that we anchored within the islands at the entrance of the harbour of Rio de Janeiro.