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Projective Line Revisited

Published 2 Apr 2018 in math.GM | (1804.00639v7)

Abstract: This article provides a new perspective on the geometry of a projective line, which helps clarify and illuminate some classical results about projective plane. As part of the same train of ideas, the article also provides a proof of the nine-point circle theorem valid for any affine plane over any field of characteristic different from 2.

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