Channel surface
A channel or canal surface is a surface formed as the envelope of a family of spheres whose centers lie on a space curve, its directrix. If the radii of the generating spheres are constant the canal surface is called pipe surface. Simple examples are:
* right circular cylinder (pipe surface, directrix is a line, the axis of the cylinder)
* torus (pipe surface, directrix is a circle),
* right circular cone (canal surface, directrix is a line (the axis), radii of the spheres not constant),
* surface of revolution (canal surface, directrix is a line),
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Channel surface
A channel or canal surface is a surface formed as the envelope of a family of spheres whose centers lie on a space curve, its directrix. If the radii of the generating spheres are constant the canal surface is called pipe surface. Simple examples are:
* right circular cylinder (pipe surface, directrix is a line, the axis of the cylinder)
* torus (pipe surface, directrix is a circle),
* right circular cone (canal surface, directrix is a line (the axis), radii of the spheres not constant),
* surface of revolution (canal surface, directrix is a line),
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A channel or canal surface is ...... or blending surfaces smoothly.
@en
Eine Kanalfläche ist die einhü ...... ngsflächen zwischen Zylindern.
@de
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A channel or canal surface is ...... surface, directrix is a line),
@en
Eine Kanalfläche ist die einhü ...... e, Leitkurve ist eine Gerade).
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Channel surface
@en
Kanalfläche
@de