List questions from plane-curves

Published on 30 Oct 2018 - 15:58

245

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Prove that this class of curves has constant speed and curvature

Published on 30 Oct 2018 - 17:29

74

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How to deduce Jordan Curve Theorem from Schönflies Theorem

Published on 02 Nov 2018 - 0:03

580

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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 Nov 2018 - 21:03

329

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Octahedron Pyramid

Published on 18 Nov 2018 - 13:02

12

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

Published on 27 Feb 2026 - 21:52

126

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

Published on 22 Nov 2018 - 12:26

621

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

Published on 22 Nov 2018 - 13:40

759

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

Published on 22 Nov 2018 - 21:54

73

Views

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

Published on 24 Nov 2018 - 11:28

142

Views

Proof of Jordan-Schoenflies via conformal mappings.

Published on 28 Nov 2018 - 4:27

450

Views

Is this plane curve irreducible?

Published on 13 Dec 2018 - 12:09

269

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

Published on 13 Dec 2018 - 17:08

194

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Find the point of tangency between a plane and an ellipsoid

Published on 15 Dec 2018 - 19:31

125

Views

Affine plane curves with constant curvature

Published on 16 Dec 2018 - 0:57

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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