Apart from and either preceding or accompanying these phenomena, is the
growth or increase of the formative protoplasm itself; concerning which
the point to be here observed is that it is not indefinite, but limited.
This was first clearly enunciated by Herbert Spencer, and may be called
Spencer's law. In simplest expression it may thus be stated: _Volume
tends to outrun surface._ Take a cube measuring one inch in the side;
its volume is one cubic inch, its surface six square inches. Eight such
cubes will have a surface of (6 × 8) forty-eight square inches. But let
these eight be built into a larger cube, two inches in the side, and it
will be found that the surface exposed is now only twenty-four square
inches. While the volume has been increased eight times, the surface has
been increased only four times. With increase of size, volume tends to
outrun surface. But in the organic cell the nutritive material and
oxygen are absorbed at the surface, while the explosive changes occur
throughout its mass. Increase of size, therefore, cannot be carried
beyond certain limits, for the relatively diminished surface is unable
to supply the relatively augmented mass with material for elaboration
into unstable compounds. Hence the cell divides to afford the same mass
increased surface. This process of cell-division is called fission, and
in some cases cleavage.
We will now proceed to pass in review the phenomena of reproduction and
development in animals.
[Illustration: Fig. 7.--Protozoa.
A, vorticella extended. B, the same contracted. C, D, monads. E,
am[oe]ba. F, _Param[oe]cium_. G, _Gregarina_. c.f., contractile fibre;
c.v., contractile vesicle; d., disc; end., endoplast; f.v.,
food-vacuole; fl., flagellum; gu., gubernaculum; n., nucleus; p.a.,
potential anus; ps., (in A) peristome, (in E) pseudopodium; vs.,
vestibule.]
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