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math.HO2019
On the equivalence of Playfair's axiom to the parallel postulate
Elizabeth T. Brown, Emily Castner, Stephen Davis +3
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 ge…
math.HO2010★ 7 cited
Bachet's Problem: as few weights to weigh them all
Edwin O'Shea
A problem that enjoys an enduring popularity asks: "what is the least number of pound weights that can be used on a scale pan to weigh any integral number of pounds from 1 to 40 in…