I so much appreciate you going through this. I have thought at these geometric proofs must have been rooted in more physical terms than we usually imagine.
And, at the same time, I cannot follow the explanations. :)
Sorry - I think I would need to be in the same room as you, and we could take an hour to work through things.
None of this stuff is easy. It takes time to absorb what is actually done, and once one understands the intuition, there are still the technical details to master as well.
Nevertheless, I find the mechanical proofs a lot easier to understand than the geometrical proofs using double proof-by-contradiction.
I so much appreciate you going through this. I have thought at these geometric proofs must have been rooted in more physical terms than we usually imagine.
And, at the same time, I cannot follow the explanations. :)
Sorry - I think I would need to be in the same room as you, and we could take an hour to work through things.
None of this stuff is easy. It takes time to absorb what is actually done, and once one understands the intuition, there are still the technical details to master as well.
Nevertheless, I find the mechanical proofs a lot easier to understand than the geometrical proofs using double proof-by-contradiction.
>For Archimedes, it seems, mathematics, science and engineering was one complex whole.
Thanks for your insight.