The Triangle Inequality and Its Applications in the Relative Metric Space
نویسندگان
چکیده
Let C be a plane convex body. For arbitrary points , denote by , n a b E ab the Euclidean length of the line-segment . Let be a longest chord of C parallel to the line-segment . The relative distance between the points and is the ratio of the Euclidean distance between and b to the half of the Euclidean distance between and . In this note we prove the triangle inequality in with the relative metric , and apply this inequality to show that ab 1 1 a b 1 a ab a E , C d a b
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