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- W2965600029 abstract "We show that the classical equivalence of Euclid’s parallel postulate and Playfair’s axiom collapses in the absence of triangle congruence. In particular, we construct a non-SAS geometry that models the Playfair axiom but not the parallel postulate." @default.
- W2965600029 created "2019-08-13" @default.
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- W2965600029 date "2019-08-01" @default.
- W2965600029 modified "2023-10-12" @default.
- W2965600029 title "On the equivalence of Playfair’s axiom to the parallel postulate" @default.
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- W2965600029 doi "https://doi.org/10.1007/s00022-019-0496-9" @default.
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