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supporting line : ウィキペディア英語版
supporting line
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''.〔"The geometry of geodesics", Herbert Busemann, (p. 158 )〕 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''.
==Properties==
There can be many supporting lines for a curve at a given point. When a tangent exists at a given point, then it is the unique supporting line at this point, if it does not separate the curve.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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