List questions from plane-curves

Published on 15 Apr 2026 - 3:55

110

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Conjecture: If a line never intersects a differentiable curve then there exists at least one tangent to the curve whose slope is that of the line

Published on 16 Apr 2026 - 3:50

136

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How to show that $\ell(D)=\deg(D)+1+\frac{(d-1)(d-2)}{2}$ for the divisor $D=\operatorname{div}(z^n)$

Published on 14 Apr 2026 - 19:06

286

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Generalization of intersection of circles?

Published on 16 Apr 2026 - 3:53

44

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Planar Curve $(a\cos(\theta), a\sin(\theta), f(\theta))$

Published on 16 Apr 2026 - 8:20

31

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Plane curves from interval I to a three dimensional space

Published on 14 Apr 2026 - 4:24

257

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Distinguishing Two Compactifications of $[0,1)$

Published on 07 May 2026 - 4:56

4.2k

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Deriving the Bending Energy equation for Eulers Elastica

Published on 10 Apr 2026 - 17:00

195

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Spaces That Have Uncountably Many Disjoint Copies in $\mathbb{R}^2$

Published on 06 May 2026 - 14:05

342

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Is it always possible to project a smooth projective plane curve to $\mathbb{P}^1$?

Published on 11 Apr 2026 - 16:13

57

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An observation made on Lemma 4.1.1 of "The heat equation shrinking convex plane curves"

Published on 15 Apr 2026 - 23:23

137

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Analytic curve through infinitely many points

Published on 12 Apr 2026 - 17:36

296

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Curvature of the curve at point

Published on 16 Apr 2026 - 6:28

293

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Can a spiral have its centroid at the origin?

Published on 02 May 2026 - 2:27

221

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Prove the image of $\gamma\colon\left[0,1\right]\to\mathbb{R}^{2}$ has measure zero

Published on 15 Apr 2026 - 1:00

List Question

Arc length of the cardioid

Conjecture: If a line never intersects a differentiable curve then there exists at least one tangent to the curve whose slope is that of the line

How to show that $\ell(D)=\deg(D)+1+\frac{(d-1)(d-2)}{2}$ for the divisor $D=\operatorname{div}(z^n)$

Generalization of intersection of circles?

Planar Curve $(a\cos(\theta), a\sin(\theta), f(\theta))$

Plane curves from interval I to a three dimensional space

Distinguishing Two Compactifications of $[0,1)$

Deriving the Bending Energy equation for Eulers Elastica

Spaces That Have Uncountably Many Disjoint Copies in $\mathbb{R}^2$

Is it always possible to project a smooth projective plane curve to $\mathbb{P}^1$?

An observation made on Lemma 4.1.1 of "The heat equation shrinking convex plane curves"

Analytic curve through infinitely many points

Curvature of the curve at point

Can a spiral have its centroid at the origin?

Prove the image of $\gamma\colon\left[0,1\right]\to\mathbb{R}^{2}$ has measure zero

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