> And finally, the cleaned up examples from my last post avoided all the
> problems *and* demonstrated the error in the formula.

Admittedly it could have been clearer that it's an approximation which
relies on a negligible difference between spherical and plane
geometry.

It breaks down in boundary cases, but in the context in which it was
offered that wasn't relevant, and for most purposes it's fine.

Can you provide a general formula?

Andrew
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