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.-A 'potency' or 'power' in
geometry is so called by a change of meaning.-These senses of
'capable' or 'possible' involve no reference to potency. But the
senses which involve a reference to potency all refer to the primary
kind of potency; and this is a source of change in another thing or in
the same thing qua other. For other things are called 'capable',
some because something else has such a potency over them, some because
it has not, some because it has it in a particular way. The same is
true of the things that are incapable. Therefore the proper definition
of the primary kind of potency will be 'a source of change in
another thing or in the same thing qua other'.
13
'Quantum' means that which is divisible into two or more
constituent parts of which each is by nature a 'one' and a 'this'. A
quantum is a plurality if it is numerable, a magnitude if it is a
measurable. 'Plurality' means that which is divisible potentially into
non-continuous parts, 'magnitude' that which is divisible into
continuous parts; of magnitude, that which is continuous in one
dimension is length; in two breadth, in three depth. Of these, limited
plurality is number, limited length is a line, breadth a surface,
depth a solid.
Again, some things are called quanta in virtue of their own
nature, others incidentally; e.g. the line is a quantum by its own
nature, the musical is one incidentally
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