Hinged Dissection of a Spherical Triangle into a Spherical Lune

This Demonstration shows a hinged four-piece dissection of a spherical triangle into a spherical lune.

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References
[1] P. Gerwien, "Zerschneidung jeder beliebigen Anzahl von gleichen geradlinigen Figuren in dieselben Stücke." Journal für die reine und angewandte Mathematik (Crell'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 2, 2017) en.wikipedia.org/wiki/Saccheri_quadrilateral.
[3] M. Pitici. "Non-Euclidean Dissections." (May 2, 2017) www.math.cornell.edu/~mec/GeometricDissections/4%20Non-Euclidean%20Dissections.html.
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