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Math Help - proof - curvature of plane curve

  1. #1
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    Question proof - curvature of plane curve

    can someone help me with this proof- either give me advice on how to do it or get start or start me off and give a few pointers on what i should be doing..the proof is on the attachment. thanks
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  2. #2
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    Well, what do you know about "curvature" and what formulas do you have for it? I suspect there are a number of different proofs of this starting from different formulas. You might, for example, use the fact that the curvature is \left|\frac{dT}{ds}\right| where T is the unit tangent vector and s is the arclength. You would need to relate both parameters to the arclength. Then basically use the chain rule.
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