Alternative model of Euclidean geometry
I'm planning to teach high-school geometry. As usual, this will be by
building from axioms. (The axioms used are AFAICT particular to the book
I've been assigned, but they're some combination of Hilbert's, SMSG's, and
God knows what.) I'm considering demonstrating that geometry's axioms need
not have their usual model by presenting an alternative model of at least
a few basic axioms. Can anyone recommend such a model? I'd need it to be
accessible to high schoolers (so, for example, not this).
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