don't need to have constant torsion. For any curve , . Intergrate both sides we get
If has constant torsion show that where and represents the tangent vector from the Frenet frame.
I was thinking of representing through it's Taylor series but that got me nowhere. So I would have . But this doesn't seem to help.
Know I figured that since we are dealing with constant torsion we can just express it through the formula yielding:
now rearranging and using the dot product with I get
Now I don't know If I'm on the right track or if this is even correct.