Question

Studying regular space curves when restricted to two differentiable functions

score 91 · Answer 1 · 2026-05-07 10:07:51

91

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Studying regular space curves when restricted to two differentiable functions

Published on 07 May 2026 - 10:07

score 320 · Answer 2 · 2026-04-30 23:54:07

320

Views

Existence of smooth frame along a curve on the manifold

Published on 30 Apr 2026 - 23:54

score 81 · Answer 3 · 2026-05-05 12:40:51

81

Views

Proving two reparameterizations by arclength differ only by a sign and constant

Published on 05 May 2026 - 12:40

score 244 · Answer 4 · 2026-04-29 12:43:43

244

Views

Proving that two curves that are symmetric about the origin have same curvature and same torsion (up to a sign)

Published on 29 Apr 2026 - 12:43

score 404 · Answer 5 · 2026-05-02 18:49:38

404

Views

Proving binormal vector is the limiting position of perpendicular to tangent lines

Published on 02 May 2026 - 18:49

score 227 · Answer 6 · 2026-04-29 12:43:23

227

Views

About the Frenet apparatus: are these expressions wrong?

Published on 29 Apr 2026 - 12:43

score 546 · Answer 7 · 2026-05-07 17:01:12

546

Views

What's the relation between the Darboux Frame and the Frenet-Serret on a oriented surface?

Published on 07 May 2026 - 17:01

score 135 · Answer 8 · 2026-05-02 23:53:35

135

Views

Proving a couple things about $\beta(t) = \alpha(t) - s(t)\cos(\theta)u$, where $\alpha$ is a helix. Is this correct?

Published on 02 May 2026 - 23:53

score 92 · Answer 9 · 2026-04-29 12:43:31

92

Views

Proving $W(s) = \alpha(s) + pN(s) - p' \sigma B(s)$ is constant, given that $||W(s) - \alpha(s)|| = R^2$

Published on 29 Apr 2026 - 12:43

score 249 · Answer 10 · 2026-04-29 12:43:46

249

Views

Using local canonical form to approximate a curve (not necessarily unit speed)

Published on 29 Apr 2026 - 12:43

score 1k · Answer 11 · 2026-04-29 12:21:57

1k

Views

Proving that two curves in $\mathbb{R^3}$ with the same binormal vector are congruent

Published on 29 Apr 2026 - 12:21

score 96 · Answer 12 · 2026-04-29 12:43:32

96

Views

Conditions for a space curve to have constant torsion

Published on 29 Apr 2026 - 12:43

score 166 · Answer 13 · 2026-05-10 12:35:46

166

Views

Contact order of a space curve with one of it's tangent lines

Published on 10 May 2026 - 12:35

score 3.8k · Answer 14 · 2026-04-29 12:43:51

3.8k

Views

Proving a few properties of Bertrand curves

Published on 29 Apr 2026 - 12:43

score 211 · Answer 15 · 2026-05-10 12:32:29

211

Views

Condition for a plane curve to intersect its osculating circle

Published on 10 May 2026 - 12:32

List Question

Studying regular space curves when restricted to two differentiable functions

Existence of smooth frame along a curve on the manifold

Proving two reparameterizations by arclength differ only by a sign and constant

Proving that two curves that are symmetric about the origin have same curvature and same torsion (up to a sign)

Proving binormal vector is the limiting position of perpendicular to tangent lines

About the Frenet apparatus: are these expressions wrong?

What's the relation between the Darboux Frame and the Frenet-Serret on a oriented surface?

Proving a couple things about $\beta(t) = \alpha(t) - s(t)\cos(\theta)u$, where $\alpha$ is a helix. Is this correct?

Proving $W(s) = \alpha(s) + pN(s) - p' \sigma B(s)$ is constant, given that $||W(s) - \alpha(s)|| = R^2$

Using local canonical form to approximate a curve (not necessarily unit speed)

Proving that two curves in $\mathbb{R^3}$ with the same binormal vector are congruent

Conditions for a space curve to have constant torsion

Contact order of a space curve with one of it's tangent lines

Proving a few properties of Bertrand curves

Condition for a plane curve to intersect its osculating circle

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