List questions from plane-curves

Published on 15 Apr 2026 - 19:25

248

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Prove that this class of curves has constant speed and curvature

Published on 13 Apr 2026 - 19:15

76

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How to deduce Jordan Curve Theorem from Schönflies Theorem

Published on 31 Mar 2026 - 14:44

584

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How can one show that an elliptic curve has a point whose tangent line also meet another point of the curve

Published on 10 May 2026 - 23:38

334

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Octahedron Pyramid

Published on 30 Apr 2026 - 12:59

15

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Is the role of the boxed condition $z'(t)\neq 0$ to avoid going back?

Published on 15 Apr 2026 - 6:35

128

Views

Show that $P(x,y)=0$ is a parabola if $b^2-4ac=0$.

Published on 15 Apr 2026 - 12:07

624

Views

Show that $P(x,y)=0$ is an ellipse if $b^2-4ac<0$.

Published on 14 Apr 2026 - 23:06

762

Views

Proof that interior of a simple closed curve in plane is simply connected

Published on 13 Apr 2026 - 13:16

76

Views

Show that $P(x,y)=0$ is a hyperbola if $b^2−4ac>0$ .

Published on 15 Apr 2026 - 17:02

145

Views

Proof of Jordan-Schoenflies via conformal mappings.

Published on 11 Apr 2026 - 7:07

453

Views

Is this plane curve irreducible?

Published on 13 Apr 2026 - 1:23

272

Views

When to parameterize to find equation of tangent plane and normal line?

Published on 11 Apr 2026 - 12:36

196

Views

Find the point of tangency between a plane and an ellipsoid

Published on 12 Apr 2026 - 14:26

128

Views

Affine plane curves with constant curvature

Published on 11 Apr 2026 - 21:31

List Question

Distance between a line given by planes and origin by Lagrange's multiplier.

Prove that this class of curves has constant speed and curvature

How to deduce Jordan Curve Theorem from Schönflies Theorem

How can one show that an elliptic curve has a point whose tangent line also meet another point of the curve

Octahedron Pyramid

Is the role of the boxed condition $z'(t)\neq 0$ to avoid going back?

Show that $P(x,y)=0$ is a parabola if $b^2-4ac=0$.

Show that $P(x,y)=0$ is an ellipse if $b^2-4ac<0$.

Proof that interior of a simple closed curve in plane is simply connected

Show that $P(x,y)=0$ is a hyperbola if $b^2−4ac>0$ .

Proof of Jordan-Schoenflies via conformal mappings.

Is this plane curve irreducible?

When to parameterize to find equation of tangent plane and normal line?

Find the point of tangency between a plane and an ellipsoid

Affine plane curves with constant curvature

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