ich are otherwise unavoidable.

[Footnote 30: As it may not be unacceptable to some readers to observe
the operation of this plan, I shall subjoin the following statement:

PRELIMINARY REMARKS.

1. The number of slaves in Virginia by the late census being found to be
292,427, they may now, in round numbers be estimated at 300,000.

2. Let it be supposed that the males and females are nearly or
altogether equal in number.

3. According to Dr. Franklin, the people of America double their numbers
in about twenty-eight years; and according to Mr. Jefferson, the negroes
increase as fast as the whites, they will therefore double, at least
every thirty years.

4. Let it be supposed that in thirty years one half of the present race
of negroes will be extinct.

5. Let it be supposed that in forty-five years there will not remain
more than one-fifth of the present race alive.

6. Let it be likewise supposed, that in sixty years the whole of the
present race will be extinct.

7. For conciseness sake, let the present race be called _ante-nati_,
those born after the adoption of the plan, _post-nati_.

FROM HENCE IT WILL FOLLOW,

1. That the present number of slaves being 300,000.

2. In thirty years their numbers will amount to 600,000.

3. But at that period as one half of them will be extinct, (rem. 4.)
their numbers will stand thus:

Ante-nati, 150,000

Post-nati, 450,000
---- 600,000.

4. The mean increase of the post-nati for
the next thirty years will therefore be 450000/30, annually,
or 15,000.

5. If one half of these be males, who are still
to remain slaves, there will in the first sixteen years,
be born 120,000.

6. After the first sixteen years, the post-nati females will
begin to breed; the proportion of males born to slavery in the next
twelve years may be estimated at one-fourth of the whole number
born after the commencement of that period. Their number
will be 52,000.

7. The number of _slaves_ living in Virginia at the end of _thirty_
years from the adoption of the plan, will be, ante-nati
(prop. 3.) 150,000

Post-nati males born in the first
16 years, 120,000

Post-nati males born in the last
12 years, 52,500

---- 322,500.

8. The number of _negroes_ at the same time will stand thus:

Slaves, 322,500

Post-nati
free born, 277,500

---- 60