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On The Gait Of Animals   
bending one, extend the other leg simultaneously, so as to incline
forward and make a stride and still remain above the perpendicular;
for the legs form an isosceles triangle, and the head sinks lower when
it is perpendicularly above the base on which it stands.
Of limbless animals, some progress by undulations (and this
happens in two ways, either they undulate on the ground, like
snakes, or up and down, like caterpillars), and undulation is a
flexion; others by a telescopic action, like what are called
earthworms and leeches. These go forward, first one part leading and
then drawing the whole of the rest of the body up to this, and so they
change from place to place. It is plain too that if the two curves
were not greater than the one line which subtends them undulating
animals could not move themselves; when the flexure is extended they
would not have moved forward at all if the flexure or arc were equal
to the chord subtended; as it is, it reaches further when it is
straightened out, and then this part stays still and it draws up
what is left behind.
In all the changes described that which moves now extends itself
in a straight line to progress, and now is hooped; it straightens
itself in its leading part, and is hooped in what follows behind. Even
jumping animals all make a flexion in the part of the body which is
underneath, and after this fashion make their leaps. So too flying and
swimming things progress, the one straightening and bending their
wings to fly, the other their fins to swim. Of the latter some have
four fins, others which are rather long, for example eels, have only
two. These swim by substituting a flexion of the rest of their body
for the (missing) pair of fins to complete the movement, as we have
said before. Flat fish use two fins, and the flat of their body as a
substitute for the absent pair of fins. Quite flat fish, like the Ray,
produce their swimming movement with the actual fins and with the
two extremes or semicircles of their body, bending and straightening
themselves alternately.
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