I'd said:
When you've gone some distance away from P, continuing in the same direction away from P, the cosine of the angle between the line on which you're moving and the ring toward which you're moving greater than the cosine of the angle between the line on which you're moving and the ring away from which you're moving. That's because though both rings have the same radius, but you're closer to the one toward which you're moving.
I comment:
I meant to say that the angle between the line on which you're moving and the ring toward which you're moving is greater than the angel between the line on which you're moving and the ring from which you're moving. And so the consine of the former angle is less than the cosine of the latter angle. So you're moving away from one riing faster than you're moving toward the other. So, with the same number of voters on each ring, you're increasing your summed distance from the voters on those 2 rings.
That's true of any two identical rings about those two points, and it's true of any spherical shell about P.
Mike Ossipoff
_________________________________________________________________
Don�t just search. Find. Check out the new MSN Search! http://search.msn.click-url.com/go/onm00200636ave/direct/01/
---- Election-methods mailing list - see http://electorama.com/em for list info
