Dissection of a Spherical Triangle into a Spherical Lune

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This Demonstration shows a dissection of a certain type of spherical triangle into a spherical lune with the same area.

Contributed by: Izidor Hafner (May 2017)
Open content licensed under CC BY-NC-SA




[1] P. Gerwien, "Zerschneidung jeder beliebigen Anzahl von gleichen geradlinigen Figuren in dieselben Stücke," Journal für die reine und angewandte Mathematik (Crelle's Journal), 10, 1833 pp. 228–234 and Taf. 3. gdz.sub.uni-goettingen.de/dms/load/img/?PID=GDZPPN002139170.

[2] Wikipedia. "Saccheri Quadrilateral." (May 3, 2017) en.wikipedia.org/wiki/Saccheri_quadrilateral.

[3] M. Pitici. "Non-Euclidean Dissections." (May 3, 2017) www.math.cornell.edu/~mec/GeometricDissections/4%20Non-Euclidean%20Dissections.html.

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