question: Give an example of two space curves with the same curvature but are not isometric to each other(there is no isometry between them).
I am using the Elementary differential geometry book by Presley. I really only know how to do curvature of curves with parametrization having only one variable, i.e. a circle parametrized by $\gamma(t)$. Are there any examples you can give that are one variable parameterizations???