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The bridge between Desargues' and Pappus' theorems

Published 3 May 2023 in math.HO | (2305.08859v1)

Abstract: In this paper, we investigate the configuration theorems of Desargues and Pappus in a synthetic geometric way. We provide a bridge between the two configurations with a third one that can be considered a specification for both. We do not use the theory of collineations or the analytic description of the plane over a ternary ring.

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