Morley's Theorem in Spherical Geometry

Morley's famous theorem does not hold in spherical geometry, as can be seen be simple example.
For more details please consult the following applet:

alt="Morley's Applet failed"

Morley's Triangle (marked in red) is not be regular,
but its edges differ only about one degree.

Use the left mouse button to rotate the sphere,
use the right mouse button to select on vertex
of the blue triangle and to drag it around on the sphere.

Lienhard Wimmer ( Impressum )