A possible new paradox puzzle?

Start off with an idealized straight line which is one-dimensional.

Now let's take a ruler to measure this straight line. It appears that the ruler must be two-dimensional to measure the one-dimensional straight line (most rulers are lined which make them two-dimensional - can you think of a one-dimensional ruler which can measure the straight line?)

What I'm saying is that it might not make sense to say that a straight line is one-dimensional if it can only be measured by a two-dimensional ruler, so again, can you think of a one-dimensional type of ruler?