科學史:非歐幾何到底是什麼?讓數學家吵了2000年!
三角形內角和,這個兩小學生都知道的問題,卻困惑了數學家近兩千年!為什麼三角形內角和不等於180度!究竟奇葩的非歐幾何是什麼?!
https://www.zhihu.com/video/970265378002284544
參考資料
https://en.wikipedia.org/wiki/Non-Euclidean_geometry
https://en.wikipedia.org/wiki/Carl_Friedrich_Gauss
https://en.wikipedia.org/wiki/Nikolai_Lobachevsky
https://en.wikipedia.org/wiki/Elliptic_geometry
https://en.wikipedia.org/wiki/Hyperbolic_geometry
http://www-groups.dcs.st-and.ac.uk/history/HistTopics/Non-Euclidean_geometry.html
http://web.colby.edu/thegeometricviewpoint/2016/12/08/history-of-hyperbolic-geometry/
https://en.wikipedia.org/wiki/Riemannian_geometry
https://en.wikipedia.org/wiki/Bernhard_Riemann
https://en.wikipedia.org/wiki/Eudoxus_of_Cnidus
https://en.wikipedia.org/wiki/Pythagoreanism
https://en.wikipedia.org/wiki/Thales_of_Miletus
https://en.wikipedia.org/wiki/Klein_bottle
https://en.wikipedia.org/wiki/Geometry#See_also
https://www.britannica.com/science/non-Euclidean-geometry
https://www.britannica.com/science/geometry#ref217502
https://files.eric.ed.gov/fulltext/EJ717835.pdf
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