July 31st.--Sixteen days out this afternoon; during which time, with but forty-four hours that we could fairly lay our course, the good ship has knocked off forty degrees of westing, a prodigious slant under the circumstances. The last two days up to meridian, we have run ten degrees of longitude and two of latitude.

Thursday, August 1st.--Going about seven knots, heading west by north; all well and mighty agreeable. Rifle-shooting and backgammon the great antagonists of time before dinner--whist after. Various wagers are daily made against time, as to the length of our passage, as well as for or against certain ships that preceded or were to follow us. Most persons have named some date for our arrival at New York, and backed it for more or less; finding that these days were selected more in accordance with the desires of the betters than their judgment, I selected an outsider, and took the longest date named for my day, August 20th. The odds fluctuate daily in the market, according to the view the knowing ones take of the weather: these bets form a subject of interest and banter which daily rises in importance.

Wednesday, 7th.--About meridian carried away our main-topsail yard, whilst two hands were employed rigging in the studding-sail boom; one fell into the top, and the other caught hold of the rigging, receiving much fright but small damage. Had they fallen on the deck or over-board, why their chance would have been exceeding small. There surely is "a sweet little cherub that sits up aloft," &c. or these careless rogues could not escape so often scot-free.

To-day we have a rattling north-easter with sunshine: and the sea, which yesterday was wild, dreary, and dark, is now beaming and light as a beauty at a birth-day ball; and as radiant, for it sparkles in diamonds of its own.

All hands in high spirits, the ship the favourite for odds; Time gone back sadly; the 13th inst. named for very long odds; I offered eight to one against it, and was taken up at a word. Made two or three entries in my book after dinner; against the 20th, my day; take all that offers, but have made a leetle hedge on the 18th by way of a break-water.

Saturday, 9th.--A very heavy gale from north-west, a rare occurrence at this season; it stuck to us for fifty hours, hauling gradually round to the south'ard. No business done to-day; 'change deserted; not a time-bargain to be had for love or money; most of the bulls in bed.

Tuesday, 13th.--One of the most lovely days possible: all the morning we have been observing a large ship right a-head, on which we draw rapidly, though a stern chase is proverbially a long chase. The alley all alive, books and pencils in great demand: odds offered freely that this ship is the Tallahassie, Captain Glover, which sailed from Liverpool on the morning of the day we left; but owing to our taking the north channel, whilst she pursued the south, had thus gotten a decided pull upon us, besides being a very fine ship. Consultations frequent, as we neared, between the mate and the backers of the Tallahassie, adjournments to the top-gallant forecastle constant; every spy-glass in requisition.

We drew near; the odds rose in favour of this being the ship in question--she was a large ship, square-built and long, so was Tallahassie--she was flush deck, so was Tallahassie--had stump-royal masts, and a storm-house abaft, so had Tallahassie, hurrah! Nearer we came, less ardour amongst the backers of Tal.--nearer still, they are all silent; the alley is deserted for the forecastle--a straggler now comes aft, with a sneaking offer of a hedge: no takers.

One of the opposite side's scouts next comes aft. "This can't be the Tallahassie--this ship has no copper, Tallahassie had; she has a white line over her bright side, Tallahassie had not--her top-rail is white, and the yards tipped with the same colour, the Tallahassie's were black.--In short, it could not be the Tallahassie, as any one with half an eye might have seen from the first, and might see now."

The latter part of the proposition was already demonstrated, for we were by this time right a-beam; the former might have been disputed, although it certainly was not the Tallahassie.

Trifles like this were all-sufficient occupation for the day, and served as subjects of conversation after. On this occasion we had for nearly the first time a complete muster of our crew, the exceeding fineness of the day brought out even our sick, and there they lounged about in the sun, like weary birds plumeing their ruffled feathers.

Sunday, 18th.--Wind north-west; weather fine. We are now within one hundred and sixty miles of our port. Betting-market a little anxious, but a good deal of business doing in a quiet way; my odds looking well, but to-morrow, the 19th, by far the favourite, Captain Maxwell himself indeed, considering it a hollow thing. Got a notion in my head, however, in favour of my day, and accordingly took the odds; resolute to abide by the 20th, and either "mak' a spune or spoil a horn."

All hands well and in motion; the crew busily employed getting the sea-service off the rigging, and setting it all up in holiday order. The mate is peering about jealously on all sides, eyeing his ship as a mother would a beauty dressing for her first drawing-room, and to the full as anxious about her appearance.

Monday, 19th.--In the middle watch had a heavy squall, and carried away our foretop-gallant mast. At nine o'clock, A.M. made the American shore off Jersey, to the southward of Barney Gat. Wind light, no betting, but anxious speculations on the probability of our getting within Sandy Hook this day. Tuesday a hollow thing, feel "cock sure:"--about noon, wind died away; and, right enough, it was not until

Tuesday, August 20th, that at three o'clock, A.M. I was called on deck to look upon the Hook lights, and count my wagers won. I received the omen as a good one, and so it proved.

LAND, HO!

I had often, and with much pleasure, heard intelligent Americans describe the restless anxiety with which they approached the shores of Britain; the almost painful degree of excitement created by the various associations crowding on the imagination, and jostling each other for supremacy, as they looked for the first time on their father-land.

The veneration with which they pictured her ivy-clad towers, and the throb with which they caught the names of places long familiar to memory and hallowed by historical events, to all of which they felt their claim inherited from their ancestors, whether from Thames, or Tweed, or Shannon.

To all of this I have, I say, listened with great pleasure, and with a full sympathy in feelings at once natural and generous, yet can I hardly admit them to possess more force, or their nature to be more exciting, or richer in the material whence Fancy frames her chequered web, than the recollections awakened in a well-stored imagination by a near approach to the shores of America. Although differing widely, these are to every philosophic mind, especially to a subject of Britain, at least equally stirring.

When it is first remembered, that on all the long line of coast extending from the St. Lawrence to the Gulf of Mexico there was not, in the beginning of the sixteenth century, one European family settled, or a Christian voice that woke the forest with the name of God,--not a civilized man from Canada to Florida, who placed his foot upon the soil to call it home. Yet now, within this immense range may be reckoned the mightiest States of the Union; and over its wide circumference are scattered great cities, towns aspiring to be cities, and villages fast growing into busy towns--possessing a population which for wealth hardly need yield to the oldest countries of Europe, and in the general diffusion of intelligence and education offering indeed to most of these an example worthy of their imitation.

When it is called to mind that the waters of her vast line of coast, now daily ploughed by thousands of busy prows, were at this same not very distant day as desert as her swamps and as unfurrowed, except where the canoe of the scared Indian left its light track behind, when driven from the shelter of some near river:--silent and shadowless, except when the sail of the adventurous explorer flitted slowly over the waves, as he steered his doubtful course filled with the many wonders seen and fancied by his watchful, credulous crew,--some band of daring spirits tempted hither in search of gold, or wild adventure, perhaps to perish suddenly by the arrow of the savage, or slowly to wither beneath the influence of the climate--God! what wonderful changes have been wrought here, and what a living marvel is this land! Changes, which it has required the labour of ages to accomplish elsewhere, have here been effected by the energy of a few busy generations, whose toil was begun and carried on amid want, and sickness, and a struggle against ignorance and neglect without, as well as a war of extermination within; a war which may be said to exist even to this day, for yet is the ever-growing frontier from time to time awakened by the night whoop of the savage and the answering shot of the hardy pioneer.