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math.MG2015
The Steiner-Lehmus theorem and "triangles with congruent medians are isosceles" hold in weak geometries
Victor Pambuccian, Horst Struve, Rolf Struve
We prove that (i) a generalization of the Steiner-Lehmus theorem due to A. Henderson holds in Bachmann's standard ordered metric planes, (ii) that a variant of Steiner-Lehmus holds…
math.MG2012★ 2 cited
A definitional view of Vogt's variant of the Mazur-Ulam theorem
Victor Pambuccian
A rephrasing of Vogt's and Skof's version of the Ulam-Mazur theorem as a definability statement.