[A83] The shape of a cord


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[A83] The shape of a cord




Hi to all, I need some help with this bit:

I have a piece of cord with length l and with both ends 
fixed at (x1, y1) and (x2, y2), respectively. I want to 
approximate the shape of the hanging cord with a parabola, 
whose third point will be at (x3, y3), x3=(x1+x2)/2.

Knowing the initial data, how could I set up an equation 
for y3, so that the length of the given section of the 
parabola will be equal to the given length? I couldn't do 
it on paper...

PG





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