Property of a Curve Connecting Any Two Points in Space that Are at Different Differences from a Third Point

Authors: Prashanth R. Rao

Abstract: In this paper we prove that any two points A and B in space that are at different distances from a third point C, when connected by any curve in three dimensional space, must contain points such as D that are at intermediate distances from the third point C (length DC is intermediate to length AC and length BC).

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[v1] 2017-08-19 17:45:13

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