Inverse Gnomonic Projections of Plane Regions

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This Demonstration shows inverse gnomonic projections of flat surface areas lying in a horizontal plane tangent to the projection sphere.
Contributed by: Thomas Burke (December 2011)
Open content licensed under CC BY-NC-SA
Snapshots
Details
Snapshot 1: inverse gnomonic projections of lines are great semicircles
Snapshot 2: inverse gnomonic projections of circles typically are not circles
Snapshot 3: inverse gnomonic projection density increases with the projected region's distance from the tangent point
Permanent Citation
"Inverse Gnomonic Projections of Plane Regions"
http://demonstrations.wolfram.com/InverseGnomonicProjectionsOfPlaneRegions/
Wolfram Demonstrations Project
Published: December 2 2011