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This proof has almost nothing to do with Euclid. The Pythagoreans knew about it more than a century before his birth (Hippasus was apocryphally killed for divul
by CaptainNegative 2y ago
This proof has almost nothing to do with Euclid. The Pythagoreans knew about it more than a century before his birth (Hippasus was apocryphally killed for divulging this proof), and the proof is widely believed to have only been inserted into Elements by others after Euclid's death.
- chx 2y agoYeah, this can't be done in the geometrical way Euclid worked Mostly because you need the Archimedean property for it which can not be derived from Euclid's axioms.