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Confusion about a tangent line approaching an asymptote

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#differential-geometry #plane-curves #tangent-line
35
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prove an inequality between the curvature of these curves

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#analysis #plane-curves
389
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Strong/weak tangents and limit positions, with rigor

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#differential-geometry #plane-curves #tangent-line
83
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How does one find a parameter representation for bounded region?

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#parametric #algebraic-curves #plane-curves #parametrization
221
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Orthogonal trajectories of unit circles centered on x-axis

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#integration #ordinary-differential-equations #plane-curves
89
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Is it possible to construct a closed, simple curve in $\mathbb{R}^2$ that has a segment with zero curvature and is differentiable everywhere?

Published on
#geometry #plane-curves
637
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Total curvature of a closed polygonal curve

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#discrete-mathematics #curvature #plane-curves #discrete-geometry
155
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Formulations of Cauchy's theorem that don't seem consistent

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#integration #complex-analysis #contour-integration #curves #plane-curves
247
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Total curvature of a parametrized-by-arc-length curve

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#differential-geometry #curvature #plane-curves
35
Views

Does the system $xy = ab, G(x)+G(y)=G(a)+G(b)$ always have exactly two solutions if $G$ is continuous and injective?

Published on
#real-analysis #plane-curves #monotone-functions
62
Views

Finding Line tangent to surface and parallel to plane.

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#calculus #multivariable-calculus #vectors #plane-curves
1.5k
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Are winding number and index of a not smooth closed curve the same?

Published on
#complex-analysis #plane-curves #winding-number
476
Views

A curve is a circle or a line

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#plane-curves
1k
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Space-Filling Jordan Curve

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#plane-curves
38
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Help with parametrization of a Surface and finding tangent plane

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#plane-curves

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