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In mathematics, a metric space is said to posses the Euclidean four point property if any four points p, q, r and s in the space can be isometrically embedded into ℝ^3.


, the three products pq.rs, pr.qs, ps.qr of `opposite' distances satisfy the triangle inequality<ref name=Blumenthal> Leonard M Blumenthal (1970). "III.32 and V.49". Theory and Application of Distance Geometry.


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Category:Geometric inequalities