this post was submitted on 14 May 2024
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I think that this theorem is at least as old as the pyramids.
The recent "Fall of Civilizations" podcast talks a lot about the history of the pyramids. They may still have known a lot about geometery, but the slopes and angles involved in the pyramid building seem to have been trial and error as much as anything
A few days ago I was building a Lego set and had to go back 10 steps because of a mistake and that made me very angry.
The pyraamids are way more complex and accurate as been build only by trial and error. It's architects knew exactly what they were doing and also geometric theorema way more complex as the one of "Phytagoras", as shown also in other ancient buildings, which are still difficult to reproduce by modern architects.
What makes you say that? I'm not an expert. Accurate geometry or not, the pyramids are pretty cool. What about them means it couldn't have been trial and error?
https://www.si.edu/spotlight/ancient-egypt/pyramid
Yes, the bent pyramid, but that say nothing, maybe simply a design of an bad architect. They always exist, even today.
There are records of why it was bent though. It was one of the first pyramids. The king wanted it very tall and steep. he ended up being burried in a pyramid with less slope. Do you have any archeological evidence of complex geometry being used?
Again, the pyramids are an impressive feat of craftsmanship and the organization of labor, but does that mean they employed the pythagorean theorem?
They may very well have known geometry, or at least developed during the course of their civilization but I don't think the pyramids represent sufficient evidence for them definitely knowing the pythagorean theorem
edit: also if you haven't heard the podcast, i recommend it. It's pretty cool