Which curve is this k(s)=s

[nisde]

k(s)=s is a natural equation for a curve, but I don't know which one, and I need to draw it

k -"kappa" is curvature
s- is arc lenght

Natural equations
http://mathworld.wolfram.com/NaturalEquation.html

Cesaro equation
http://mathworld.wolfram.com/CesaroEquation.html

 

[HallsofIvy]

It is the "natural equation" of any curve that has smooth curvature. You would need to be given the curvature and arc length at any point to be able to identify it as a specific curve.

 

[daon2]

k(s) = as+b defines a Cornu or Euler spiral.