Are the two curve being equivalent....

dear all, are the following two curves

and

being equivalent?

Here, equivalence means that the two curves coincide after a rigid motion.

I find the second curve has curvature , and torsion . However, it is difficult to solve the first one, and seems the result is not the same as the second one.

3x.

Quote:

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Originally Posted by xinglongdada

dear all, are the following two curves

and

being equivalent?

Here, equivalence means that the two curves coincide after a rigid motion.

I find the second curve has curvature , and torsion . However, it is difficult to solve the first one, and seems the result is not the same as the second one.

3x.

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This is the correct approach, so how did you try to calculate the torsion of the first one? Don't tell me you just didn't feel like doing the formula.

I am sorry that the problem typed in the book is wrong. And it is natural that I could not verify. Thx.