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ordered Mr. May to assist him in this cruise, and Mr. Eld, of your ship, to assist in the duties on board the Sea-Gull.

After you have obtained the necessary information in regard to this shoal, (should you be so fortunate as to find it,) you will return to Cape Frio, and from thence measure the distance from this harbour by sound.

The most efficient mode of doing this, I conceive as follows, viz. After getting the light in sight, anchor the three vessels so as to form a triangle, and take their azimuthal bearings from the sun, measuring by sound the distance between the vessels, which will give you the bases of the triangle; then measure the angles from on board the vessels, with the light-house, and this will give you data to calculate its distance and bearing; thence proceed west, keeping the vessels in range, and as soon as you get their distance and bearing, change their positions alternately.

CAPTAIN WILLIAM L. HUDSON,

Commanding U. S. Ship Peacock.

Very respectfully,

CHARLES WILKES,

Commanding Exploring Expedition.

XXI.

POPULATION OF BRAZIL,

Estimated by the numbers of houses furnished by the returns of Elections for Deputies in 1833, to the National Legislature, calculating each habitation as containing five free people, and the slaves as being two-fifths of the whole population.

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XXII.

STATEMENT OF THE EXPORTS OF THE PRINCIPAL PRODUCTS OF BRAZIL, DURING THE YEAR 1838, SHOWING THE QUANTITY THAT WAS EXPORTED TO FOREIGN PORTS, AND THE FLAG UNDER WHICH IT WAS SHIPPED.

BAGS.

HIDES.

HORNS.

SOLE LEATHER,

HALF HIDES.

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TOTAL.

527 106,786 778,473 | 3,178 | 17,426 14,470 4,424 192,710 405,792 8,330 | 14,737 24,119 | 5,472 | 523

6,082 15,118 1,396

RICE IN

BAGS.

SMOKED BEEF

IN ROUNDS.

BRANDY IN

PIPES.

POSITION OF VESSELS.

XX

RESULTS OF THE MEASUREMENT OF A BASE LINE BY SOUND.

ASTRONOMICAL
BEARING.

DISTANCES. DIFF. OF LAT.

DIFF. OF LON.

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Meridian Distances between Cape Frio Light-house and Enxados Island.

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III.

, BETWEEN CAPE FRIO LIGHT-HOUSE AND ENXADOS ISLAND.

POSITION OF VESSELS.

ASTRONOMICAL
BEARING.

DISTANCES.

DIFF. OF LAT. DIFF. OF LON.

From Peacock's 6th to Flying-Fish's 6th, S. 87° 04′ W. 12914.94 feet.
"Flying-Fish's 6th to Peacock's 7th,
"*Peacock's 7th to Sea-Gull's 7th,
"Sea-Gull's 7th to Flying-Fish's 7th,

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20242-51

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20993.89

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15076.91

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Longitude of Cape Frio Light-house, 42° 00' 13" 87""

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