List questions from plane-curves

Published on 05 Nov 2022 - 13:22

57

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Two Definitions of Curvature for Plane Curves

Published on 25 Mar 2026 - 11:06

30

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Vector valued higher order ODE with scalar product

Published on 29 Nov 2022 - 16:32

319

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Convert to parametric equation from implicit equation?

Published on 11 Dec 2022 - 22:47

38

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Finding a plane is tangent to a curve - $H=\left\{\left(6-s^2-t^2,\:s,\:t\right):\:s,t\in \mathbb{R}\:\right\}$

Published on 16 Dec 2022 - 20:44

75

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Circle-like parametrization of closed curves.

Published on 25 Dec 2022 - 16:49

53

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Does $x'(s)y'(s)$ have a geometric meaning?

Published on 26 Dec 2022 - 18:29

251

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Closed curves of the form $F(x)+G(y)=0$

Published on 28 Dec 2022 - 16:11

123

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Can a spiral be represented as $F(x)+G(y)=0$

Published on 05 Jan 2023 - 17:04

58

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Can an $n$-armed spiral be represented as $F(x)+G(y)=0$?

Published on 06 Jan 2023 - 12:34

137

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Can a spiral be represented implicitly as $F(x)+G(y)+H(x+y) = 0$?

Published on 11 Jan 2023 - 8:26

33

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A curve that can not be implicitly represented by $\sum_{n=1}^\infty F_n(a_n x + b_n y) = 0$

Published on 11 Jan 2023 - 18:13

79

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Can a union of two disjoint simple curves be represented implicitly by $F(x)+G(y)=0$?

Published on 12 Jan 2023 - 5:59

160

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Can a spline be constructed given start and end points, normalized tangent vectors, and curvatures?

Published on 24 Jan 2023 - 16:15

List Question

Unit normal of ellipse

Two Definitions of Curvature for Plane Curves

Vector valued higher order ODE with scalar product

Convert to parametric equation from implicit equation?

Finding a plane is tangent to a curve - $H=\left\{\left(6-s^2-t^2,\:s,\:t\right):\:s,t\in \mathbb{R}\:\right\}$

Circle-like parametrization of closed curves.

Does $x'(s)y'(s)$ have a geometric meaning?

Closed curves of the form $F(x)+G(y)=0$

Can a spiral be represented as $F(x)+G(y)=0$

Can an $n$-armed spiral be represented as $F(x)+G(y)=0$?

Can a spiral be represented implicitly as $F(x)+G(y)+H(x+y) = 0$?

A curve that can not be implicitly represented by $\sum_{n=1}^\infty F_n(a_n x + b_n y) = 0$

Can a union of two disjoint simple curves be represented implicitly by $F(x)+G(y)=0$?

Can a spline be constructed given start and end points, normalized tangent vectors, and curvatures?

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