On Jan 7, 11:33 am, marcelo <[email protected]> wrote:
> Make an experiment to convince yourself:
> Take a globe with latitude and longitude on it and mark three points
> on it. Then calculate the center of gravity according to Mike's
> formula and mark that point on the globe too.
> Then cut out the triangle, (or put a piece of cardboard over the globe
> and cut it in the shape of the triangle), put a string through the
> calculated center of gravity and let it hang.
> It should hang balanced, (horizontally), without tilting to any side,
> and that should prove that you have put the string through the correct
> center of gravity.
Ahhghhh.... I just cant help myself. I *have* to respond :-)
For the last example I gave you, Mike's center of gravity isnt even
*in* the triangle (its *miles* away). You cant put a string through
the triangle to hang it, let alone see if it balances!
Most of my other examples are just arcs of great circles. And again,
Mike's computed point (which should lie on the arc) is miles away from
it.
Why dont *you* do the experiment, and see for yourself...
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