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What is the shape of a catenary locus ?


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Hello.

It's been over 30 years since my days at the university and have trouble thinking...

I believe a catenary reflector has a focal area -locus?- instead of a focus point as a parabolic reflector has.

 

Is it a circle ?

 

The intention is to place a pipe of the same section at the locus of a catenary reflector trough, to be insolated and boil water circulating in it.

The center of the locus must be centered between the ends of the catenary.

The catenary lenght is 4 feet.

What would be the correct catenary span or depth?

 

Thanks,

Miguel

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