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Calculating the velocity of a curve on a manifold

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#differential-geometry #manifolds #circles #curves
211
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Condition for a plane curve to intersect its osculating circle

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#differential-geometry #curves #plane-curves #frenet-frame
197
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Logarithmic spiral is an embedding

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#general-topology #differential-geometry #curves #plane-curves
710
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Spiral tangents form constant angle with polar lines.

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#geometry #differential-geometry #curves #plane-curves
194
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parameterization of the intersection's curve of two surfaces

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#calculus #geometry #curves
107
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Tangents of a curve whose trace remains in a half-plane.

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#geometry #differential-geometry #curves #plane-curves
42
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Finding the lenght of a parameterized curve

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#integration #curves
30
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Finding the lenght of a parameterized curve 2

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#integration #curves #parametrization
37
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Parametrization of intersection of two curves

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#curves
91
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Non embedded curve in $\mathbb{R}^3$

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#differential-geometry #curves
2.7k
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Best spline method for closed curves

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#curves #spline
57
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How do I describe the difference between these two curves?

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#functions #soft-question #curves
35
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Exercise on parametric curves

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#curves
134
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Parametrizing $(2x+y)^2(x+y)=x$

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#algebra-precalculus #curves #plane-curves #parametrization #implicit-function
710
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If a curve lies in a circle of radius $r$, show there is a point at which the curvature $|k(s)|\geq 1/r$

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#differential-geometry #curves #plane-curves #plane-geometry

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