In the first of the cases on Figure 2, the map Iq ◦ Ip is of hyperbolic type and corresponds
to translation along the axis pq by the distance 2 dist(p, q). In order for (5)
to hold, we thus must have dist(p, q) = dist(r, s) (together with a correct order of
points), and condition (1) says exactly that.
In the first of the cases on Figure 2, the map Iq ◦ Ip is of hyperbolic type and correspondsto translation along the axis pq by the distance 2 dist(p, q). In order for (5)to hold, we thus must have dist(p, q) = dist(r, s) (together with a correct order ofpoints), and condition (1) says exactly that.
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