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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 1egard 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.

provinces. no. OF houses. inhabitants. PARA - - - - - - - - 24,500 102,500 MARANhao - - - - - - - 30,600 153,000 PIANhy - - - - - - - - 11,300 56,500 CFARA - - - - - - - - 35,900 179,500 prio Grande DEL, NORTE - - - - - 12,400 62,000 PARAhiba • - - - - - - 24,700 123,500 Pern AMBUCO - - - - - - - 59,900 299,500 ALAGOAS - - - - - - - 33,300 166,500 Sergiss E - - - - - - - 20,700 103,500 BAHIA - - - - - - - - 87,600 438,000 CUIABA - - - - - - - - 5,600 28,000 Goyas, slaves, (17,375) - - - - - 13,900 69,500 MINAs GERAEs, (24,600) - - - - - 120,800 604,000 Espirito Santo - - - - - - 7,700 38,500 Rio DE JANEIRo, (117,600 - - - - 58,800 294,000 st PAULo, (94,166)- - - - - - 56,100 282,500 st. CATHERINE’s - - - - - - 9,800 47,000 Rio da ANDE do sol, (20,500) - - - - 16,400 82,000

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STATEMENT of THE EXPORTS OF THE PRINCIPAL PRODUCTs of BRAZIL, DURING THE YEAR 1838, SHOWING THE QUANTITY THAT WAS
EXPORTED To Fort EIGN PortTs, AND THE FLAG UNDER which IT WAS SHIPPED.

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RESULTS OF THE MEASUREMENT OF A BASE LINE BY SOUND.

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ASTRONOMICAL

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Longitude of Enxados Island, . . . . . 43° 09' 06’ 67”
Difference of Longitude, . . . . 1 08 52 8

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