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An essay on the foundations of geometry

Note 109 — Chapter II · CRITICAL ACCOUNT OF SOME PREVIOUS PHILOSOPHICAL THEORIES OF GEOMETRY.

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M. Delbœuf deserves credit for having based Euclid, already in 1860, in his "Prolégomènes Philosophiques de la Géométrie," on this axiom—certainly a better basis, at first sight, than the axiom of parallels.

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