[–] peter_d_sherman 6y ago ↗ This is amazing!This video compares and contrasts three different types of Geometries:o Spherical Geometryo Euclidian Geometry (the one we all know)o Hyperbolic GeometryWith the wonderful property thatSpherical Geometry is sort of the opposite of Hyperbolic Geometry...(Note to self, have to do more research on this!), i.e.,Circumference of a circle:Spherical: 2 x pi x sin(r)Euclidian: 2 x pi x rHyperbolic: 2 x pi x sinh(r)
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[ 5.0 ms ] story [ 12.2 ms ] threadThis video compares and contrasts three different types of Geometries:
o Spherical Geometry
o Euclidian Geometry (the one we all know)
o Hyperbolic Geometry
With the wonderful property that
Spherical Geometry is sort of the opposite of Hyperbolic Geometry...
(Note to self, have to do more research on this!), i.e.,
Circumference of a circle:
Spherical: 2 x pi x sin(r)
Euclidian: 2 x pi x r
Hyperbolic: 2 x pi x sinh(r)