within the reef is not deep, being only four and a half fathoms; but the great width of the reef, stretching three miles and a half southward of the land (which is represented in the drawing in the “Atlas of the ‘Coquille’s’ Voyage” as descending abruptly to the water) shows, on the principle explained in the beginning of the last chapter, that it belongs to the barrier class. I may here mention, from information communicated to me by the Rev. W. Ellis, that on the N.E. side of _Huaheine_ there is a bank of sand, about a quarter of a mile wide, extending parallel to the shore, and separated from it by an extensive and deep lagoon; this bank of sand rests on coral-rock, and undoubtedly was originally a living reef. North of Bolabola lies the atoll of _Toubai_ (Motou-iti of the “‘Coquille’s’ Atlas”) which is coloured dark blue; the other islands, surrounded by barrier-reefs, are pale blue; three of them are represented in Figures 3, 4, and 5, in Plate I. There are three low coral-groups lying a little E. of the Society Archipelago, and almost forming part of it, namely _Bellinghausen_, which is said by Kotzebue (“Second Voyage,” volume ii., page 255), to be a lagoon-island; _Mopeha_, which, from Cook’s description (“Second Voyage,” book iii., chapter i.), no doubt is an atoll; and the _Scilly_ Islands, which are said by Wallis (“Voyage,” chapter ix.) to form a _group_ of _low_ islets and shoals, and, therefore, probably, they compose an atoll: the two former have been coloured blue, but not the latter. MENDANA or MARQUESAS Group.—These islands are entirely without reefs, as may be seen in Krusenstern’s Atlas, making a remarkable contrast with the adjacent group of the Society Islands. Mr. F.D. Bennett has given some account of this group, in the seventh volume of the “Geographical Journal”. He informs me that all the islands have the same general character, and that the water is very deep close to their shores. He visited three of them, namely, _Dominicana_, _Christiana_, and _Roapoa;_ their beaches are strewed with rounded masses of coral, and although no regular reefs exist, yet the shore is in many places lined by coral-rock, so that a boat grounds on this formation. Hence these islands ought probably to come within the class of fringed islands and be coloured red; but as I am determined to err on the cautious side, I have left them uncoloured.