er, and that in all Mr Sadler's three tables. We
have a regularly ascending series, where, if his theory had any truth
in it, we ought to have a regularly descending series. We will give the
results of our calculation.

The number of children to 1000 marriages is--

1st Table 2nd Table 3rd Table

In the sixteen departments where
there are from 68 to 107 people
on a square mile................ 4188 4226 3780

In the sixteen departments where
there are from 107 to 125 people
on a square mile................ 4374 4332 3855

In the sixteen departments where
there are from 134 to 155 people
on a square mile................ 4484 4416 3914

We will give another instance, if possible still more decisive. We
will take the three departments of France which ought, on Mr Sadler's
principle, to be the lowest in fecundity of all the eighty-five, saving
only that in which Paris stands; and we will compare them with the
three departments in which the fecundity ought, according to him, to be
greater than in any other department of France, two only excepted. We
will compare Bas Rhin, Rhone, and Nord, with Lozere, Landes, and Indre.
In Lozere, Landes, and Indre, the population is from 68 to 84 on the
square mile or nearly so. In Bas Rhin, Rhone, and Nord, it is from 300
to 417 on the square mile. There cannot be a more overwhelming answer to
Mr Sadler's theory than the table which we subjoin:

The number of births to 1000 marriages is--

1st Table 2nd Table 3rd Table

In the three departments in which
there are from 68 to 84 people
on the square mile............... 4372 4390 3890

In the three departments in which
there are from 300 to 417 people
on the square mile............... 4457 4510 4060

These are strong cases. But we have a still stronger case. Take the
whole of the third, fourth, and fifth divisions into which Mr Sadler
has portioned out the French departments. These three divisions make up
almost the whole kingdom of France. They contain seventy-nine out of the
eighty-five departments. Mr Sadler has contrived to divide them in
such a manner that, to a person who looks merely at his averages, the
fecundity seems to diminish as the population thickens. We will separate
them into two parts in