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Three snails at the point of equilateral triangle start to move at each other. What is the shape of curve?
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assuming they start from vertices, to meet at centre then there are different possibilites they can meet at incentres also or at centroid too
in either case it would be along a line or a ray
it can't be a ray ... they aren't moving to center. they are moving to each other ( the other snail) |dw:1347897411584:dw|
they could meet by the vertices and be moving clockwise to each other
nop ... they all in the direction of another snail.
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is it going to be some polar graph?
don't know ..haven't solved it yet. i tried to do this couple of months ago ... couldn't do it.
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