Re: Why didn't ancient Greek Mathematicians use a string instead of a compass for their constructions?

well, if the Pythagoreans merely cast him out, *and*
erected a shrine to him as though dead, that's dramatic.

I thought that I was original in using "icosagon"
for the dodecahedron, although Bucky did it
with a neologism, *-vertexion*; actually, since
I was wont to reserve the "-gon" for flat figures,
I proposed using *-asteron*.

 http://www.math.ufl.edu/~rcrew/texts/pythagoras.html
That's not my investigative work, it's Richard Crew's.

BTW, Crew seems to have missed one of the references to Hippasus in
Iamblichus: De vita pythagorica 246-247

thus:
Mascheroni is cool; I'll have to look at that, again.

it seems to me that the wookypoopieya thing is just
a trivision of a segment, which seems to be realted
to an equilateral trigon; I was referring to n-section.

http://en.wikipedia.org/wiki/Compass_and_straightedge
However this construction *does* uses proportions.
Just they are hidden (everything is proportions from Euclides).
<http://cjoint.com/?mjkKJP5yN4>

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