I wonder if it possible to prove the Thales theorem only with Euclidean axioms. what do you think?
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1Euclid's original axioms are flawed (even in his first theorem, Euclid himself has to use assumptions not based on his own axioms). While the idea behind them has been tremendously important to mathematics throughout millennia, to use them directly in this modern age would, in my opinion, not be a good idea. – Arthur Jan 03 '19 at 07:04
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1There is a proof in Euclid's Elements, if that is what you want. – Intelligenti pauca Jan 03 '19 at 10:28
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Yes,I wold like to see it please – letisya Jan 03 '19 at 11:36
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Here it is: https://mathcs.clarku.edu/~djoyce/java/elements/bookIII/propIII31.html – Intelligenti pauca Jan 03 '19 at 21:11
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perfect! Thankyou. – letisya Jan 04 '19 at 09:44