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**1 - 1**of**1**### INEQUALITIES AND BILIPSCHITZ CONDITIONS FOR TRIANGULAR RATIO METRIC

"... Abstract. Let G ( Rn be a domain and let d1 and d2 be two metrics on G. We compare the geometries defined by the two metrics to each other for several pairs of metrics. The metrics we study include the distance ratio metric, the triangular ratio metric and the visual angle metric. Finally we apply o ..."

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Abstract. Let G ( Rn be a domain and let d1 and d2 be two metrics on G. We compare the geometries defined by the two metrics to each other for several pairs of metrics. The metrics we study include the distance ratio metric, the triangular ratio metric and the visual angle metric. Finally we apply our results to study Lipschitz maps with respect to metrics. 1.