-6{|Hyperbolic Angle Measure Start with a sketch with a line AB in it. This line is the border of the half-plane model of non-Euclidean geometry. "Lines" in this model are semicircles orthogonal to the border line. This script measures an angle formed by two intersecting "lines" (arcs). Select, in order, a point on one arc, the point where the arcs intersect, and a point on the other arc. Givens Auto-A and Auto B are the control points of the border line. If these points are labeled A and B, the script will recognize them automatically, without requiring matching. Otherwise, the script will construct a new border line. Angle measure is Euclidean in the Half-Plane model. It's the measure of the angle formed by the tangents to the two arcs where they intersect.H4* m "`*m 9       t         t        Auto-AWp|}}|p * Auto-Bp 0c  j0 [ 0 [XCHHd0DHHǀ0kY_(h_( E t t!>!> `@ ! l EHH(0lHH˻0 FNh2@h_('@ E t t!!> `@ ! l!!G>=1LNh2h_(h('@ E t t!>!> `@m*m! l!>1LNh2h_(h_('@ tH&HH<&P0n*`m t t!>!> `@ ! l!!>=1LI-pHHh-0o_(h_('@ E t t!>!> `@ ! l!!>= p*mNh2h_(.'@ E t t!>!> `@ ! lq `@ ! l!!>1LNh2h_(h_('@ t r*m!> 6P@ !l!!>=1LNhts*m!8=LNh2h_(h_('@ E tJC HHCp0t*`m E t t>!> `@ ! l!!>=KMHHLM0 m14NRpR*mE tt!>DP `@ ! l!