In this mode, the midpoint of two points can be constructed with a press–drag–release sequence. As in add a line mode, the two points can also be added.
Midpoint mode creates two points and their midpoint using a press–drag–release sequence.
This innocent-looking mode becomes interesting in non-Euclidean geometries. While in Euclidean geometry there is always a unique finite midpoint, in hyperbolic or elliptic geometry there are always two. Both points will be generated in this mode. In the Poincaré disk model of hyperbolic geometry, the second midpoint of two points in the disk always lies outside the disk. The presence of this point does not much matter, but there are circumstances in which one should be aware of this fact.
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