> It's very interesting that the definition of a metre the length of a
> 2-second pendulum would be so close to the definition of a metre as 10
> millionth of the meridian along a quadrant. So I asked myself whether this
> coincidence is unique to the earth or if it would happen in other planets.
>
> It turns out that what is unique about the earth is its density. Any
> planet, whether big or small, will have the same close relationship between
> the two definitions of metre, as long as it has the same density as the
> Earth. In a big planet, the metre would be longer, but the two definitions
> of metre would still agree if the planet's density is right.
>
> I would provide a full formal derivation, but that might be off-topic :-)
>
> Daniel.
>

Unsure whether I would follow a formal proof, but it is good to see you back
on the OOo lists...

/paul

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