List questions from plane-curves

Published on 17 Mar 2026 - 5:06

705

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Spiral tangents form constant angle with polar lines.

Published on 17 Mar 2026 - 13:19

101

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Tangents of a curve whose trace remains in a half-plane.

Published on 17 Mar 2026 - 21:52

677

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If a plane curve has curvature bounded from below, is it contained in a disk?

Published on 16 Mar 2018 - 6:50

487

Views

Plane curves of bounded curvature

Published on 24 Mar 2026 - 23:45

126

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Parametrizing $(2x+y)^2(x+y)=x$

Published on 22 Mar 2026 - 22:59

225

Views

Calculating the area of cardioid with trisectrix with green's theorem: Will the area of the loop be added twice? See picture inside

Published on 24 Mar 2026 - 22:01

705

Views

If a curve lies in a circle of radius $r$, show there is a point at which the curvature $|k(s)|\geq 1/r$

Published on 19 Mar 2018 - 18:39

236

Views

Parametrizing $x^2(x^2+y^2)=4(x-y)^2$

Published on 17 Mar 2026 - 9:31

48

Views

Function of curve length s in term of x

Published on 17 Mar 2026 - 6:05

60

Views

How to slice a cone to get a given hyperbola?

Published on 17 Mar 2026 - 7:29

138

Views

How to construct a second point $Q$ and the third point on a cubic curve?

Published on 17 Mar 2026 - 20:26

36

Views

What can be said about two expressions of a 1-form?

Published on 17 Mar 2026 - 10:35

1.9k

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tangent plane to level set

Published on 16 Mar 2026 - 23:01

268

Views

Rational plane curves as images of $\mathbb{P}^1$

Published on 17 Mar 2026 - 15:37

List Question

Logarithmic spiral is an embedding

Spiral tangents form constant angle with polar lines.

Tangents of a curve whose trace remains in a half-plane.

If a plane curve has curvature bounded from below, is it contained in a disk?

Plane curves of bounded curvature

Parametrizing $(2x+y)^2(x+y)=x$

Calculating the area of cardioid with trisectrix with green's theorem: Will the area of the loop be added twice? See picture inside

If a curve lies in a circle of radius $r$, show there is a point at which the curvature $|k(s)|\geq 1/r$

Parametrizing $x^2(x^2+y^2)=4(x-y)^2$

Function of curve length s in term of x

How to slice a cone to get a given hyperbola?

How to construct a second point $Q$ and the third point on a cubic curve?

What can be said about two expressions of a 1-form?

tangent plane to level set

Rational plane curves as images of $\mathbb{P}^1$

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