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TERNARY OPERATIONS AS PRIMITIVE NOTIONS FOR PLANE GEOMETRY II
Authors:Victor Pambuccian
Abstract:We proved in the first part [1] that plane geometry over Pythagorean fields is axiomatizable by quantifier-free axioms in a language with three individual constants, one binary and three ternary operation symbols. In this paper we prove that two of these operation symbols are superfluous.
Keywords:Foundations of plane geometry  definability in geometry  axiomatization of plane geometry
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