  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 in all metric planes, and (iii) that the fact
that a triangle with two congruent medians is isosceles holds in Hjelmslev
planes without double incidences of characteristic $\neq 3$.
