We now pass from the consideration of the solitary cell to that of
cells in contact with one another,—to what we may call in the first
instance “cell-aggregates,”—through which we shall be led ultimately to
the study of complex tissues. In this part of our subject, as in the
preceding chapters, we shall have to give some consideration to the
effects of various forces; but, as in the case of the conformation of
the solitary cell, we shall probably find, and we may at least begin
by assuming, that the agency of surface tension is especially manifest
and important. The effect of this surface tension will chiefly manifest
itself in the production of surfaces _minimae areae_: where, as Plateau
was always careful to point out, we must understand by this expression
not an absolute, but a relative minimum, an area, that is to say, which
approximates to an absolute minimum as nearly as circumstances and the
conditions of the case permit.
There are certain fundamental principles, or fundamental equations,
besides those which we have already considered, which we shall need in
our enquiry. For instance the case which we briefly touched upon (on
p. 265) of the angle of contact between the protoplasm and the axial
filament in a Heliozoan we shall now find to be but a particular case
of a general and elementary theorem.
Let us re-state as follows, in terms of _Energy_, the general principle
which underlies the theory of surface tension or capillarity.
When a fluid is in contact with another fluid, or with a solid or a
gas, a portion of the energy of the system (that, namely, which we call
surface energy), is proportional to the area of the surface of contact:
it is also proportional to a coefficient which is specific for each
particular pair of substances, and which is constant for these, save
only in so far as it may be modified by {294} changes of temperature
or of electric charge. The condition of _minimum potential energy_ in
the system, which is the condition of equilibrium, will accordingly be
obtained by the utmost possible diminution in the area of the surfaces
in contact. When we have _three_ bodies in contact, the case becomes
a little more complex. Suppose for instance we have a drop of some
fluid, _A_, floating on another fluid, _B_, and exposed to air, _C_.
The whole surface energy of the system may now be considered as divided
into two parts, one at the surface of the drop, and the other outside
of the same; the latter portion is inherent in the surface _BC_,
between the mass of fluid _B_ and the superincumbent air, _C_; but the
former portion consists of two parts, for it is divided between the two
surfaces _AB_ and _AC_, that namely which separates the drop from the
surrounding fluid and that which separates it from the atmosphere. So
far as
[Illustration: Fig. 99.]
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