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- Asymptotic_curve abstract "In the differential geometry of surfaces, an asymptotic curve is a curve always tangent to an asymptotic direction of the surface (where they exist). It is sometimes called an asymptotic line, although it need not be a line. An asymptotic direction is one in which the normal curvature is zero. Which is to say: for a point on an asymptotic curve, take the plane which bears both the curve's tangent and the surface's normal at that point. The curve of intersection of the plane and the surface will have zero curvature at that point. Asymptotic directions can only occur when the Gaussian curvature is negative (or zero). There will be two asymptotic directions through every point with negative Gaussian curvature, these directions are bisected by the principal directions. The direction of the asymptotic direction are the same as the asymptotes of the hyperbola of the Dupin indicatrix.A related notion is a curvature line, which is a curve always tangent to a principal direction.".
- Asymptotic_curve wikiPageExternalLink asymptotic.shtml.
- Asymptotic_curve wikiPageExternalLink cis700sl10pdf.pdf.
- Asymptotic_curve wikiPageID "915472".
- Asymptotic_curve wikiPageRevisionID "563960031".
- Asymptotic_curve hasPhotoCollection Asymptotic_curve.
- Asymptotic_curve title "Asymptotic Curve".
- Asymptotic_curve urlname "AsymptoticCurve".
- Asymptotic_curve subject Category:Curves.
- Asymptotic_curve subject Category:Differential_geometry_of_surfaces.
- Asymptotic_curve subject Category:Surfaces.
- Asymptotic_curve type Artifact100021939.
- Asymptotic_curve type Object100002684.
- Asymptotic_curve type PhysicalEntity100001930.
- Asymptotic_curve type Surface104362025.
- Asymptotic_curve type Surfaces.
- Asymptotic_curve type Whole100003553.
- Asymptotic_curve comment "In the differential geometry of surfaces, an asymptotic curve is a curve always tangent to an asymptotic direction of the surface (where they exist). It is sometimes called an asymptotic line, although it need not be a line. An asymptotic direction is one in which the normal curvature is zero. Which is to say: for a point on an asymptotic curve, take the plane which bears both the curve's tangent and the surface's normal at that point.".
- Asymptotic_curve label "Asymptotic curve".
- Asymptotic_curve label "Branche parabolique".
- Asymptotic_curve label "Асимптотическая кривая".
- Asymptotic_curve label "فرع شلجمي".
- Asymptotic_curve sameAs Branche_parabolique.
- Asymptotic_curve sameAs m.03pkh7.
- Asymptotic_curve sameAs Q2363719.
- Asymptotic_curve sameAs Q2363719.
- Asymptotic_curve sameAs Asymptotic_curve.
- Asymptotic_curve wasDerivedFrom Asymptotic_curve?oldid=563960031.
- Asymptotic_curve isPrimaryTopicOf Asymptotic_curve.