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    Just looked through some intrinsic questions and have got confused. They all say that the arc length (s) is measured from a point such as 0,1. What is the point in this information?

    When I find s I just use limits x and 0 all the time? Is that because its measured from the 0,1?

    What about if s was measured from 1,1? Also is the y coordiante just for show? Any use for it?
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    (Original post by Womble548)
    Just looked through some intrinsic questions and have got confused. They all say that the arc length (s) is measured from a point such as 0,1. What is the point in this information?

    When I find s I just use limits x and 0 all the time? Is that because its measured from the 0,1?

    What about if s was measured from 1,1? Also is the y coordiante just for show? Any use for it?
    s is arc length along the curve so you have to start measuring from somewhere.

    If it's measured from (a,f(a)) on the curve y=f(x) then you just calculate s as

    

s(x) = \int_a^x \sqrt{1 + (dy/dt)^2} \, dt
 
 
 
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