6. Endless variety of figures.
For the mind having a power to repeat the idea of any length directly stretched out,
and join it to another in the same direction, which is to double the length of that straight line; or else join another
with what inclination it thinks fit, and so make what sort of angle it pleases: and being able also to shorten any
line it imagines, by taking from it one half, one fourth, or what part it pleases, without being able to come to an
end of any such divisions, it can make an angle of any bigness. So also the lines that are its sides, of what length it
pleases, which joining again to other lines, of different lengths, and at different angles, till it has wholly enclosed
any space, it is evident that it can multiply figures, both in their shape and capacity, in infinitum; all which are but
so many different simple modes of space.
The same that it can do with straight lines, it can also do with crooked, or crooked and straight together; and the
same it can do in lines, it can also in superficies; by which we may be led into farther thoughts of the endless
variety of figures that the mind has a power to make, and thereby to multiply the simple modes of space.
