[A83] Re: The shape of a cord


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[A83] Re: The shape of a cord




[SNIP]

> Now, it's easy to plug known values in this
> equation. However, to find the general solution,
> we have to substitute a and b with those nasty
> formulae above (after substituting x3 with
> (x1+x2)/2, naturally), and solve for y3,

If the height of the end points (y1 and y2) are not equal, then
I think x3 will not be halfway between x1 and x2. Example:

         Q
         |
         |
         |
P       /
 \     /
  \___/
   R
1  4     10

(1+10)/2<>4

Sorry for adding to your trouble ;-)

Rob van Wijk

> i. e. express y3 with x1, x2, y1, x2 and l.
> 
> That's the homework for today. :)
> 
> PG
> 
> 

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