United States and' Territories of North America . 53 
under twenty-six, and in the male and female classes of twenty-six 
nnd under forty-five. In Vermont, a very large female increment 
will be found in the class of sixteen and under twenty-six ; and 
the male and female increments under ten, will also Jbe found ap- 
proaching exceedingly near to equality. A similar approxima- 
tion to equality will likewise be found to belong to the incre- 
ments of both sexes, in the classes from ten to sixteen, and 
forty-five and upwards. The large increment which Ohio re- 
ceived in the former period in the class of free males above 
sixteen, was succeeded by a still larger rate of increase in 
the period extending from 1800 to 1810; the least increment 
it received during that time being 335.5 per cent ., and the 
greatest 524.8. New York, therefore, which in the prece- 
ding period stood decidedly above Ohio in the proportional 
magnitude of its increments, in this last period yielded to the 
latter state ; and which also presents increments of a larger 
kind than any other province during the same period of time. 
In the southern states also, Tennessee has gained a like ascendan- 
cy over Kentucky ; and of the other territories of Missisippi and 
Columbia, the latter is distinguished by the largest increase. 
In several of the States, the increments of the different ages 
present instances of equality not unworthy of attention. In 
Vermont, New-York, Kentucky, and Missisippi, the rates of in- 
crease of the males and females under ten, are very nearly the 
same ; the difference not amounting in any case to a single unit. 
In New Jersey, also* the male and female increments of the class 
of ten, and under sixteen, present an approximation to equality. 
In North Carolina, the increments of the first and fourth classes 
of females are the same, and the second and fifth very nearly 
equal. In South Carolina, the male increments of the first, se- 
cond, and fourth classes, are nearly the same. In Georgia, 
there is an absolute equality of the male increments in the first 
and second classes ; and a near approach to the same state, in 
the corresponding classes of females. The increment in the last 
class of females, has a remarkable ascendancy over the corres- 
ponding class of males. In Tenriessee, the male increments of 
the second and fourth classes are nearly equal; as well as the 
female increments in the second and third classes, and the first 
; class of males. Kentucky presents a remarkable instance of a 
