# How to prove Any curve in space can be written as for a parameter

1. Oct 22, 2014

### persyan

how to prove Any curve in space can be written as for a parameter

2. Oct 22, 2014

### Staff: Mentor

Can you provide more details about your question? What part of mathematics are you studying where this question comes up? And "as for a parameter" is not translating very well. Can you give examples of what you are asking about?

3. Oct 22, 2014

### persyan

Any curve in space can be written as for a parameter p(t)
prove it

4. Oct 22, 2014

### Staff: Mentor

Again, the translation is not working so well. What branch of mathematics are you studying? Can you provide a link to similar questions and proofs? What methods of proof are you familiar with?

5. Oct 22, 2014

### ellipsis

I think he might be saying, any curve in 3 dimensions can be represented as a system of parametric equations, x(t), y(t), z(t). Which is a non-trivial result - in fact, I don't think that's even true.

6. Oct 22, 2014

### persyan

you are right
you are better than mentor

7. Oct 22, 2014

### Staff: Mentor

At math he definitely is! :D

8. Oct 22, 2014

### persyan

Any curve in space can be written as p(t)
for a parameter t
its used to prove the gradient is normal to the curve

9. Oct 22, 2014

### Staff: Mentor

Can you show an example of finding the gradient for a curve? What kind of curve? Like equipotential lines?

10. Oct 22, 2014

### persyan

why dont you answer main question
prove
Any curve in space can be written
parameteric

11. Oct 22, 2014

### Staff: Mentor

Because the PF rules require that you show effort. Especially if this is a schoolwork question, which many of the Mentors believe it is. You need to show some effort, and tell us what this question is for, or this thread will be locked.

12. Oct 22, 2014

### Staff: Mentor

This is why -- (see Homework Guidelines at https://www.physicsforums.com/threads/physics-forums-global-guidelines.414380/)