The English works of Thomas Hobbes of Malmesbury, Volume 01 (of 11) — Thomas Hobbes — John Shaqi
The English works of Thomas Hobbes of Malmesbury, Volume 01 (of 11)
Thomas Hobbes · en
Let a stroke fall upon the wall A B obliquely, as for example, in the
strait line C A (in fig. 3.) Let C E be drawn parallel to A B, and D A
perpendicular to the same A B and equal to C A; and let both the
velocity and time of the motion in C A be equal to the velocity and time
of the motion in D A. I say, the stroke in C A will be weaker than that
in D A, in the proportion of E A to D A. For producing D A howsoever to
F, the endeavour of both the strokes will (by art. 6) proceed from A in
the perpendicular A F. But the stroke in C A is made by the concourse of
two motions in C E and E A, of which that in C E contributes nothing to
the stroke in A, because C E and B A are parallels; and, therefore, the
stroke in C A is made by the motion which is in E A only. But the
velocity or force of the perpendicular stroke in E A, to the velocity or
force of the stroke in D A, is as E A to D A. Wherefore the oblique
stroke in C A is weaker than the perpendicular stroke in D A, in the
proportion of E A to D A or C A; which was to be proved.
[Sidenote: In a full medium, motion is propagated to any distance.]
9. In a full medium, all endeavour proceeds as far as the medium itself
reacheth; that is to say, if the medium be infinite, the endeavour will
proceed infinitely.
For whatsoever endeavoureth is moved, and therefore whatsoever standeth
in its way it maketh it yield, at least a little, namely, so far as the
movent itself is moved forwards. But that which yieldeth is also moved,
and consequently maketh that to yield which is in its way, and so on
successively as long as the medium is full; that is to say, infinitely,
if the full medium be infinite; which was to be proved.
Now although endeavour thus perpetually propagated do not always appear
to the senses as motion, yet it appears as action, or as the efficient
cause of some mutation. For if there be placed before our eyes some very
little object, as for example, a small grain of sand, which at a certain
distance is visible; it is manifest that it may be removed to such a
distance as not to be any longer seen, though by its action it still
work upon the organs of sight, as is manifest from that which was last
proved, that all endeavour proceeds infinitely. Let it be conceived
therefore to be removed from our eyes to any distance how great soever,
and a sufficient number of other grains of sand of the same bigness
added to it; it is evident that the aggregate of all those sands will be
visible; and though none of them can be seen when it is single and
severed from the rest, yet the whole heap or hill which they make will
manifestly appear to the sight; which would be impossible, if some
action did not proceed from each several part of the whole heap.
[Sidenote: Dilatation & contraction what they are.]