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It is not in accordance with modern views, however, that beginners should be asked to learn the time-honoured proofs for congruence and parallels. Geometry for Beginners, as far as the Theorem of ...
Chua Cheong Siong, A Simple Proof of Ljunggren’s Binomial Congruence, The American Mathematical Monthly, Vol. 121, No. 2 (February 2014), pp. 162-164 ...
Heinrich Steinlein, Fermat′s Little Theorem and Gauss Congruence: Matrix Versions and Cyclic Permutations, The American Mathematical Monthly, Vol. 124, No. 6 (June-July 2017), pp. 548-553 ...
Elementary Theorems Relating to the Geometry of a Space of Three Dimensions, and of Uniform Positive Curvature in the Fourth Dimension. By Simon Newcomb. (From the Journal fur Mathematik, Band ...