I thought about it a bit more and figured this out:
Take a lne, X units long. Then draw a line the same length up a bit
and another the same length below it a bit. This is analogous to
Pi being equal to two.
That means not even elipses could form because its clear any
line that starts at one end of our first line and touches the end
and therefore goes up at an angle away from the original line X and
then comes back to touch the other end, it would be by definition
longer than line X. Therefore the length of the external lines added
together would be more than 2X which makes it impossible for
there to be ANY curve.
There is one way to visualize this: Draw a diameter line, X units
long. Then draw a circle which intercepts the ends, thus fulfilling
the old Pi=3.14159 bla bla bla. Now start to tilt that circle from
full facing you, say its on a piece of paper and you tilt it up till
only the edge of the paper is seen. This would be equivalent to
the original drawing, a line X units long and a line above and below
the same length. The circle now becomes a line. So I was right
about the interferance of dimensions. When you turn the page so
you only see an edge you are using one dimension to mask another.
Thats kind of what I meant when I said it might be one interfering
with another. From the vantage point of the edge of the paper,
Pi in this case does equal exactly 2.000000000.