The power of the projecting force increases in proportion as the object
projected is smaller; the acceleration of the motion increases to
infinity proportionately to this diminution. It would follow that an
atom would be almost as rapid as the imagination or the eye, which in a
moment attains to the height of the stars, and consequently its voyage
would be infinite, because the thing which can be infinitely diminished
would have an infinite velocity and would travel on an infinite course
(because every continuous quantity is divisible to infinity). And this
opinion is {147} condemned by reason and consequently by experience.
Thus, you who observe rely not on authors who have merely by their
imagination wished to be interpreters between nature and man, but on
those alone who have applied their minds not to the hints of nature but
to the results of their experience. And you must realize the
deceptiveness of experiments; because those which often appear to be
one and the same are often different, as is shown here.
[Sidenote: Effects correspond to the Force of their Cause]
14.
A spherical body which possesses a dense and resisting superficies will
move as much in the rebound resulting from the resistance of a smooth
and solid plane as it would if you threw it freely through the air, if
the force applied be equal in both cases.
Oh, admirable justice of thine, thou first mover! thou hast not
permitted that any tone should fail to produce its necessary effects,
either as regards order or quantity. Seeing that a force impels an
object which it overcomes a distance of one hundred arms' length, and
if in obeying this law it meets with resistance, thou hast ordained
that the force of the shock will cause afresh a further movement, which
in its various bounds recuperates the whole sum of the distance it
should have travelled. And if you measure the distance {148}
accomplished by the aforesaid bounds you will find that they equal the
length of distance through which a similar object set in motion by an
equal force would travel freely through the air.
15.
Every action must be caused by motion.
16.
Motion is the cause of all life.
[Sidenote: Of Force]
17.
What is force? Force, I say, is a spiritual virtue, an invisible
power, which by accidental external violence is caused by motion, and
communicated and infused into bodies which are inert by nature, giving
them an active life of marvellous power.
18.
What is force? I say that force is a spiritual, incorporate and
invisible power, which for a brief duration is produced in bodies that
by accidental violence are displaced from their natural state of
inertia.
[Sidenote: Origin of Force]
19.
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