Charles Brown wrote:
> Euclidean
> proofs are not done by measure, but by logic. Euclid's geometry is a
> deductive ,not inductive/empirical system.
No, this is false. The empirical part of the Euclid's proof -- the
demonstration that what is shown actually applies to things in the real
world is systematically removed nowadays because to us it looks like
repetition, but it was, in his day an absolute requirement.
A magnificent treatise on this theme is in Klein's "Viete and the Invention of Modern Algebra."
Joanna