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

Prashanth R. Rao

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Abstract

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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What this paper is about

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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Available abstract

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).

Key concepts: Point (geometry), Space (punctuation), Property (philosophy), Mathematics, Geometry, End point, Combinatorics, Mathematical analysis

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