Euclidean axiom

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Related to Euclidean axiom: Parallel postulate, Euclid's axioms
  • noun

Synonyms for Euclidean axiom

(mathematics) any of five axioms that are generally recognized as the basis for Euclidean geometry

References in periodicals archive ?
If we now ask after the connection between, on the one hand, the apriority and singularity theses and, on the other, specifically Euclidean constructions and transformations, we ought to be puzzled, for neither claim appears to rely on Euclidean axioms or to deliver any Euclidean results about the space in which I must locate objects of experience, nor does either of them state or imply that even our "phenomenal" experience of objects in space is or must be in some sense Euclidean.
As we have seen, there is nothing about the form of my circumscribing that requires conformity to Euclidean axioms or that guarantees Euclidean figures as output.
We see him treating this as an account in keeping with Kant's view of the subjectivity of spatial perception, while arguing that Kant was mistaken in believing that Euclidean axioms must apply either to visual or physical space.