WOLFRAM|DEMONSTRATIONS PROJECT

Dissection of Gerwien's Triangle into a Saccheri Quadrilateral on the Sphere

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vertex C
θ
1.0472
vertex B
θ
1.0472
ϕ
1.08331
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This Demonstration shows Gerwien's dissection of a spherical triangle into a spherical Saccheri quadrilateral. Two cases are treated, namely that from Figures 1 and 3 from Gerwien's 1833 article [1].