Euclidean, Spherical, and Hyperbolic Shadows

Name: Work Video:
Duration: 3 min 30 s
Description: SummaryMany classical problems in elementary calculus use Euclidean geometry. This article takes such a problem and solves it in hyperbolic and in spherical geometry instead. The solution requires only the ability to compute distances and intersections of points in these geometries. The dramatically different results we obtain illustrate the effect curvature has on basic geometric objects.
Ryan Hoban
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