Support 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 Busemannp. 158/ref> In other words, ''C'' lies completely in one of the two closed set, 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. Generalizations The notion of supporting line is also discussed for planar shapes. In this case a supporting line may be defined as a line which has common points with the boundary of the shape, but not with its interior."Encyclopedia of Distances", by Michel M. Deza, Elena Dezap. 179/ref> The notion of a supporting line to a planar curve or convex shape can be generalized to n dimension as a supporting hyperplane. Critical support ...
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Reuleaux Supporting Lines
Reuleaux may refer to: * Franz Reuleaux (1829–1905), German mechanical engineer and lecturer * in geometry: ** Reuleaux polygon, a curve of constant width *** Reuleaux triangle, a Reuleaux polygon with three sides *** Reuleaux heptagon, a Reuleaux polygon with seven sides that provides the shape of some currency coins ** Reuleaux tetrahedron, the intersection of four spheres of equal radius centered at the vertices of a regular tetrahedron {{disambig ...
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