Thread: What curve is this?

Hello!

Can somebody tell me what curve is this:

(a t; b sin t; c cos t), t e R

Hello, mboricgs!

Can somebody tell me what curve is this:

. .

It is an ellipsoidal helix centered on the x-axis.

what is equation of this curve without t?

Originally Posted by mboricgs

Hello!

Can somebody tell me what curve is this:

(a t; b sin t; c cos t), t e R

So that means you have ellipses on the plane, and as you change , the x values increase, which means it wraps around the axis, creating an elliptical helix.

Thank you. What about flexion and torsion? Are they constant?

Originally Posted by mboricgs

Thank you. What about flexion and torsion? Are they constant?

Flexion: || c`x c``||/ (||c`||^3), torsion: det(c`,c``,c```)/(||c` x c``||)^2.. do they depend on t?

Can someone tell me hot to do that in wolframalpha?