2017
Том 69
№ 9

All Issues

Interpretation of the Plane Axioms of Euclidian Geometry in an Abstract Group. I

Zarovny V. P.

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Abstract

A special lexicon is given for the interpretation in the group (I, II, IV, D)* of the linear axioms of congruence of Euclidian geometry, and a solution is presented of the problem: under which conditions do these axioms hold true in the group under discussion. The concept of «elliptical systems of crts* is introduced.

Citation Example: Zarovny V. P. Interpretation of the Plane Axioms of Euclidian Geometry in an Abstract Group. I // Ukr. Mat. Zh. - 1960. - 12, № 1. - pp. 3-12.

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