The family of biarcs that matches planar, two-point G1G1 Hermite data

The biarc is a curve made by joining two circular arcs in a G1G1 fashion. There is a one-parameter family of biarcs that can match given planar, two-point G1G1 Hermite data. This note considers the range of G1G1 Hermite data that can be matched, identifies the region in which the members of the family of biarcs lie, and shows that there is exactly one member biarc passing through each point in that region.