Dave, 1. Using Euclidian tools, can we construct these lines? 2.Without knowing, the Value of Pi, can we do such a thing. Archimedes can construct the circumference of a circle to any degree of accuracy,but does he measure it or only use it in ratios? Peace, Don On Feb 18, 2008, at 9:51 AM, Dave L. Renfro wrote:
> You need to use an unmarked > straight edge, so there is no way to construct a line > correct to the 9th decimal place of Pi.
because one can certainly construct a line segment whose length is within 10^(-9) of pi. In fact, there is no positive lower bound on the set of differences between pi and the lengths of constructible segments