varied: hence, as MOTION is no other than a perpetual variation of figure,
our idea of motion is also a real resemblance of the motion that produced
it.

It may be said in objection to this definition of motion, that an ivory
globe may revolve on its axis, and that here will be a motion without
change of figure. But the figure of the particle _x_ on one side of this
globe is not the _same_ figure as the figure of _y_ on the other side, any
more than the particles themselves are the same, though they are _similar_
figures; and hence they cannot change place with each other without
disturbing or changing the figure of the whole.

Our idea of TIME is from the same source, but is more abstracted, as it
includes only the comparative velocities of these variations of figure;
hence if it be asked, How long was this book in printing? it may be
answered, Whilst the sun was passing through Aries.

Our idea of PLACE includes only the figure of a group of bodies, not the
figures of the bodies themselves. If it be asked where is Nottinghamshire,
the answer is, it is surrounded by Derbyshire, Lincolnshire and
Leicestershire; hence place is our idea of the figure of one body
surrounded by the figures of other bodies.

The idea of SPACE is a more abstracted idea of place excluding the group of
bodies.

The idea of NUMBER includes only the particular arrangements, or
distributions of a group of bodies, and is therefore only a more abstracted
idea of the parts of the figure of the group of bodies; thus when I say
England is divided into forty counties, I only speak of certain divisions