The English works of Thomas Hobbes of Malmesbury, Volume 01 (of 11)Hobbes, Thomas
Philosophy
The English works of Thomas Hobbes of Malmesbury, Volume 01 (of 11)
Hobbes, Thomas
Philosophy, English -- 17th century
4. _Time_ is exposed, not only by the exposition of a line, but also of
some moveable thing, which is moved uniformly upon that line, or at
least is supposed so to be moved. For, seeing time is an idea of motion,
in which we consider former and latter, that is succession, it is not
sufficient for the exposition of time that a line be described; but we
must also have in our mind an imagination of some moveable thing passing
over that line; and the motion of it must be uniform, that time may be
divided and compounded as often as there shall be need. And, therefore,
when philosophers, in their demonstrations, draw a line, and say, _Let
that line be time_, it is to be understood as if they said, _Let the
conception of uniform motion upon that line, be time_. For though the
circles in dials be lines, yet they are not of themselves sufficient to
note time by, except also there be, or be supposed to be, a motion of
the shadow or the hand.
[Sidenote: How number is exposed.]
5. _Number_ is exposed, either by the exposition of points, or of the
names of number, _one_, _two_, _three_, _&c._; and those points must not
be contiguous, so as that they cannot be distinguished by notes, but
they must be so placed that they may be _discerned_ one from another;
for, from this it is, that number is called _discreet quantity_, whereas
all quantity, which is designed by motion, is called _continual
quantity_. But that number may be exposed by the names of number, it is
necessary that they be recited by heart and in order, as one, two,
three, &c.; for by saying one, one, one, and so forward, we know not
what number we are at beyond two or three; which also appear to us in
this manner, not as number, but as figure.
[Sidenote: How velocity is exposed.]
6. For the exposition of _velocity_, which, by the definition thereof,
is a motion which, in a certain time, passeth over a certain space, it
is requisite, not only that time be exposed, but that there be also
exposed that space which is transmitted by the body, whose velocity we
would determine; and that a body be understood to be moved in that space
also; so that there must be exposed two lines, upon one of which uniform
motion must be understood to be made, that the time may be determined;
and, upon the other, the velocity is to be computed. As if we would
expose the velocity of the we would expose the velocity of the body A,
we draw two lines A B and C D, and place a body in C also; which done,
we say the velocity of the body A is so great, that it passeth over the
line A B in the same time in which the body C passeth over the line C D
with uniform motion.
A B
------
C D
------
[Sidenote: How weight is exposed.]
7. _Weight_ is exposed by any heavy body, of what matter soever, so it
be always alike heavy.
[Sidenote: How the proportion of magnitudes is exposed.]
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