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1) Geometries
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In the present text, we present a brief introduction to non-Euclidean geometries. We begin by presenting the foundations of classical geometry, and the discussion that gave rise to other geometries. There is an incredibly old example of an attempt to demonstrate the fifth postulate of Euclid due to Proclus, and part of Sacheri's work is retaken, to continue later with the achievements of Lobachevsky. In simple terms, the geometry to which we are accustomed,...
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