Caerols, H., Carrasco, R. A., & Asenjo, F. A. (2021). Using smartphone photographs of the Moon to acquaint students with nonEuclidean geometry. Am. J. Phys., 89(12), 1079–1085.
Abstract: NonEuclidean geometry can be taught to students using astronomical images. By using photographs o the Moon taken with a smartphone through a simple telescope, we were able to introduce these concepts to highschool students and lowerlevel college students. We teach students how to calculate lengths of mountain ranges or areas of craters on the Moon's surface and introduce ideas of geodesics and spherical triangles. Students can see that accurate measurements cannot be
obtained using at geometry. Instead, by using three{dimensional curved geometry, estimates of lengths and areas can be computed with less than 4% error.
