List questions from frenet-frame

Published on 04 Jul 2021 - 14:38

131

Views

Why is this proof of the Frent-Serret formulae wrong?

Published on 05 Jul 2021 - 12:40

104

Views

Can we use the matrix exponential trick to solve the Frenet-Serret frame?

Published on 06 Jul 2021 - 20:21

50

Views

Area of closed curve $\gamma $ : $ \frac{1}{2} \oint_{\gamma} (\gamma \times T \cdot B ds)$

Published on 01 Sep 2021 - 17:10

121

Views

The Frenet frame is orthogonal

Published on 11 Sep 2021 - 7:31

104

Views

Find unit normal vector given speed-, acceleration- and jerk vectors, Calculus III

Published on 16 Sep 2021 - 20:34

852

Views

a regular curve with $\kappa(t)>0$ is helix if and only if $\frac{\kappa}{\tau}$ is constant

Published on 22 Sep 2021 - 6:39

139

Views

Which curves have constant torsion?

Published on 21 Oct 2021 - 22:32

128

Views

tangent vector and parametrization

Published on 27 Oct 2021 - 9:36

41

Views

Given a curve $\alpha$, how can one derive a formula for the normal vector $N_{\alpha}$?

Published on 03 Nov 2021 - 18:47

880

Views

How to derive these general formulas for the Frenet Frame of a curve not parameterized by arc-length?

Published on 20 Dec 2021 - 17:11

45

Views

Some help with question 8.b, chapter 2.3, O'Neil's Intro to Dif. Geometry

Published on 09 Jan 2022 - 4:17

34

Views

Arc length parameter relation with fourth derivative

Published on 15 Jan 2022 - 20:34

148

Views

Find the tangent, normal and binormal vectors at the point $(1,1,1)$

Published on 13 Feb 2022 - 22:27

103

Views

Curve with a prescribed Frenet frame

Published on 02 Mar 2022 - 7:05

List Question

Normal planes and spherical curves

Why is this proof of the Frent-Serret formulae wrong?

Can we use the matrix exponential trick to solve the Frenet-Serret frame?

Area of closed curve $\gamma $ : $ \frac{1}{2} \oint_{\gamma} (\gamma \times T \cdot B ds)$

The Frenet frame is orthogonal

Find unit normal vector given speed-, acceleration- and jerk vectors, Calculus III

a regular curve with $\kappa(t)>0$ is helix if and only if $\frac{\kappa}{\tau}$ is constant

Which curves have constant torsion?

tangent vector and parametrization

Given a curve $\alpha$, how can one derive a formula for the normal vector $N_{\alpha}$?

How to derive these general formulas for the Frenet Frame of a curve not parameterized by arc-length?

Some help with question 8.b, chapter 2.3, O'Neil's Intro to Dif. Geometry

Arc length parameter relation with fourth derivative

Find the tangent, normal and binormal vectors at the point $(1,1,1)$

Curve with a prescribed Frenet frame

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