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Supporting line

Parallel supporting lines of a Reuleaux triangle
Animation of parallel supporting lines around a Reuleaux triangle.

In geometry, a supporting line L of a curve C in the plane is a line that contains a point of C, but does not separate any two points of C.[1] In other words, C lies completely in one of the two closed half-planes defined by L and has at least one point on L.

  1. ^ "The geometry of geodesics", Herbert Busemann, p. 158

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