Wolfram Demonstrations Project

This Demonstration shows inverse gnomonic projections of flat surface areas lying in a horizontal plane tangent to the projection sphere.

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

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Inverse Gnomonic Projections of Plane Regions