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This course teaches how to prove the main laws of rational elliptic/spherical trigonometry using basic linear algebra involving dot products, 3x3 matrices, and their inverses. The main focus is on elliptic triangles and proving essential formulas such as Thales' theorem, Pythagoras' theorem, and the Triple Quad Formula in an elliptic or projective setting. The teaching method involves explaining and proving these laws and theorems through video lectures. The intended audience for this course includes individuals interested in advanced geometry and mathematics.