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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.

Very respectfully,

CHARLES WILKES,

Commanding Exploring Expedition. CAPTAIN WILLIAM L. HUDSON,

Commanding U. S. Ship Peacock.

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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X XII.

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.

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TOTAL,

527 1106,786| 778,473 3,178 | 17,426 | 14,470 | 4,424 192,710|105,792) 8,330 | 14,737 | 24,119 / 5,472

523

6,082 15,118 1,396

RIO DE JANEIRO

XX "

RESULTS OF THE MEASUREMENT OF A BASE LINE BY SOUNDS

POSITION OF VESSELS.

ASTRONOMICAL

BEARING.

DISTANCES.

DIFF. OF LAT.

DIFF. OF LON.

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From Light-house to Flying-Fish's 1st,

Flying-Fish's 1st to Sea-Gull's 1st,

Sea-Gull's 1st to Peacock's 2d, “ Peacock's 2d to Flying-Fish's 2d,

Flying-Fish's 2d to Sea-Gull's 2d, “ Sea-Gull's 2d to Peacock's 3d, “ Peacock's 3d to Flying-Fish's 3d,

Flying-Fish's 3d to Sea-Gull's 3d, “ Sea-Gull's 3d to Peacock's 4th, « Peacock's 4th to Flying-Fish's 4th, “ Flying-Fish's 4th to Sea-Gull's 4th, “ Sea-Gull's 4th to Peacock's 5th, “ Peacock's 5th to Flying-Fish's 5th,

Flying-Fish's 5th to Sea-Gull's 5th, “ Sea-Gull's 5th to Peacock's 6th,

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

1° 08' 52" 8"
By Chronometer, 1

09

48 0

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F%, BETWEEN CAPE FRIO LIGHT-HOUSE AND ENXADOS ISLAND.

POSITION OF VESSELS.

ASTRONOMICAL

BEARING,

DISTANCES.

DIFF. OF LAT. DIFF. OF LON.

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From Peacock's 6th to Flying-Fish's 6th, S. 87° 04' W. 12914:94 feet.

“ Flying-Fish's 6th to Peacock's 7th, 87 12 20242.51 " *Peacock's 7th to Sea-Gull's 7th, 87 44 20993.89 “ Sea-Gull's 7th to Flying-Fish's 7th, 89 54 15076.91 “ Flying-Fish's 7th to Sea-Gull's 8th, 89 46 13654.56 “ Sea-Gull's 8th to Peacock's 8th, N. 89 46 19166.72 " Peacock's 8th to Flying-Fish's 8th, 89 58 21619.72 “ Flying-Fish's 8th to Sea-Gull's 9th, 89 52 16044:11 “ Sea-Gull's 9th to Peacock's 9th, 89 52 16157.90 “ Peacock's 9th to Flying-Fish's 9th, 25 00 18820:54 “ Flying-Fish's 9th to Sea-Gull's 10th, 26 00 14030.06 “ Sea-Gull's 10th to Peacock's 10th, 25 05 15076.91 “ Peacock's 10th to Flying-Fish's 10th 24 45 10877.13 “ Flying-Fish's 10th to Sea-Gull's 11th 24 05 2695.70 “ Sea-Gull's 11th to Enxados Island, S. 84 34 2726.00

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