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    Re: A simple three-body fix puzzle
    From: Tom Sult
    Date: 2010 Dec 10, 21:06 -0600
    How can that be true, If you are saying that the distribution about the LOP is normal then you have forever lower probability of being at the extreme edges of the distribution.  The various sites are the things that have the error distribution.  So when you draw the line you are really drawing a gray line that fades in gray on each edge.  Only if the normal distributions overlap to be summed would you have a high probability of being at the center.  And at that we have discovered by several means that the probability of being in the triangle is lower than being outside of it.  And one statistical model (that I think suffers from a division by 0 error - but I speak without rigor) tells us that the probability of being at the center of a perfect 3 body fix crossing is "0". However if I have misunderstood these arguments - good, because just like the big bang and all matter of the universe being in a singe quantum... It gives me a headache.  The position should be at the center of the cocked hat for no there reason than it looks like it should be.

    I do suffer from Prinz's disease and it is my point exactly.  We must simply place a dot on the chart then look out of the wheel house and make sure we are not headed for the rocks.  Or said another way give him 30 mg and call your malpractice attorney.

    Thomas A. Sult, MD
    3rd Opinion
    1415 First First St. South #5
    Willmar, MN 56201
    320 235 2101 Office

    On Dec 10, 2010, at 4:24 PM, Herbert Prinz wrote:


    You could not be further from the truth with both your assumptions.

    On 2010-12-10 21:16, Tom Sult wrote:
    It seems to me the point of this is that the best probability of location is a "donut" that roughly follows the lop's around the hat.

    Not at all. It's always an ellipse, centered on the MPP. In fact, the closer you get to the MPP the bigger the chance that you are actually there. To leave a hole out like in a donut is totally pervers.

    We have learned that we have perhaps a 25% +/- the details chance of being close to any "center" of the hat. And we can calculate the probability distribution of our location along any one of our LOP's. If the gausien distribution is centered on the LOP then we have a "fuzzy donut" probability and not a Position.

    The gaussian distribution is not centered on the LOP, it's centered on the MPP derived from the LOPs.

    So the answer to "whitch point is it is correct?" is... There is no point.

    You are a medical doctor? Let me ask you a medical question.

    A patient who suffers from Prinz's disease comes to see you. WonderDrug offers an FDA approved cure. After much statistical research they decided that one shot of 30mg per day is optimal, much less is ineffective, much more is counterproductive.  Will you deny your patient the treatment because you don't really know how much to give him? Or will you start him off with 30mg and see what happens?

    Herbert Prinz

    Thomas A. Sult, MD
    Sent from iPhone

    On Dec 10, 2010, at 14:32, Greg Rudzinski <gregrudzinski@yahoo.com> wrote:


    Could you inspect and comment on the linked diagrams.

    The first linked diagram shows a 30°/60°/90° triangle plot with bisected vertex, internal circle tangents, vertex to tangent intersections (symmedian or Gergonne point), and the d/2 circle around point P.
    (very busy plot)

    The Gergonne point (Gp) seems to be dependent on the bisected angle point (Bp). Point Bp weighs each LOP equally and point Gp shifts away from the smallest angle and toward the largest angle. The d/2 circle intersects at three points along the bisection and tangent lines.

    The question now is which point is correct ? Gp or one of the three d/2 intersections ? If I had to guess then I would select the intersection of the d/2 circle, P perpendicular, and 60° vertex to inner circle tangent (see second linked diagram)

    Greg Rudzinski
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