New answers tagged euclidean-geometry
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Egyptian origin of Euclid's axiomatisation of geometry
Actually, Arnold was only drawing from Proclus Diadochus, who wrote the following in his Commentary of Euclid's Elements (Book 1):
We must next speak of the origin of geometry in the present world
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Is this a misstatement of Euclid in Halmos' Naive Set Theory book?
Halmos does not mention Euclid by name. Axiomatic approach to geometry indeed does not use these "definitions", neither Euclid really does.
Since original text of Euclid has not been ...
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Is this a misstatement of Euclid in Halmos' Naive Set Theory book?
No error at all.
Euclid's definitions:
Definition 1. A point is that which has no part.
Definition 2. A line is breadthless length,
are probably later interpolations aimed at clarify the primitive ...
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