Question

Studying regular space curves when restricted to two differentiable functions

score 79 · Answer 1 · 2026-03-19 08:05:18

79

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Studying regular space curves when restricted to two differentiable functions

Published on 19 Mar 2026 - 8:05

score 309 · Answer 2 · 2026-03-20 19:07:15

309

Views

Existence of smooth frame along a curve on the manifold

Published on 20 Mar 2026 - 19:07

score 72 · Answer 3 · 2026-03-21 21:04:58

72

Views

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

Published on 21 Mar 2026 - 21:04

score 237 · Answer 4 · 2026-03-20 00:18:14

237

Views

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

Published on 20 Mar 2026 - 0:18

score 395 · Answer 5 · 2026-03-20 09:54:54

395

Views

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

Published on 20 Mar 2026 - 9:54

score 220 · Answer 6 · 2026-03-22 10:27:46

220

Views

About the Frenet apparatus: are these expressions wrong?

Published on 22 Mar 2026 - 10:27

score 536 · Answer 7 · 2026-03-20 03:00:26

536

Views

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

Published on 20 Mar 2026 - 3:00

score 126 · Answer 8 · 2026-03-20 04:14:18

126

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 20 Mar 2026 - 4:14

score 87 · Answer 9 · 2026-03-19 18:33:13

87

Views

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

Published on 19 Mar 2026 - 18:33

score 242 · Answer 10 · 2026-03-20 00:14:00

242

Views

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

Published on 20 Mar 2026 - 0:14

score 996 · Answer 11 · 2026-03-20 05:45:28

996

Views

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

Published on 20 Mar 2026 - 5:45

score 91 · Answer 12 · 2026-03-22 19:51:28

91

Views

Conditions for a space curve to have constant torsion

Published on 22 Mar 2026 - 19:51

score 162 · Answer 13 · 2026-03-22 17:35:12

162

Views

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

Published on 22 Mar 2026 - 17:35

score 3.8k · Answer 14 · 2026-03-24 04:49:47

3.8k

Views

Proving a few properties of Bertrand curves

Published on 24 Mar 2026 - 4:49

score 203 · Answer 15 · 2026-03-23 12:07:37

203

Views

Condition for a plane curve to intersect its osculating circle

Published on 23 Mar 2026 - 12:07

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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