it is at these points that the zones of sensation occur. If the reader
will draw a diagram of two waved lines travelling along the same
horizontal line and so proportioned that the crest of each of the large
waves coincides with the crest of every third wave of the small ones, he
will see what I mean: and if he then recollects that the fall in the
larger waves neutralizes the rise in the smaller ones, and that because
this double series starts from the interior of the body the surface of
the body comes just at one of these neutralized points, he will see why
sensation is neutralized there; and he will also see why the succeeding
zones of sensation are double the distance from each other that the
first one is from the surface of the body; it is simply because the
surface of the body cuts the first long wave exactly in the middle, and
therefore only half that wave occurs outside the body. This is the
explanation given by De Rochas, and it affords another example of that
principle of mathematical sequence of which I have spoken. It would
appear that under normal conditions the double series of vibrations is
spread all over the body, and so all parts are alike sensitive to touch.
I think, then, we may assume on the basis of De Rochas' experiments and
others that there are such things as etheric vibrations proceeding from
human personality, and in the next chapter I will give some examples
showing that the psychic personality extends still further than these
experiments, taken by themselves, would indicate--in fact that we
possess an additional range of faculties far exceeding those which we
ordinarily exercise through the physical body, and which must therefore
be included in our conception of ourselves if we are to have an adequate
idea of what we really are.
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