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Dear Steve and John,
At 8/14/2003 11:14 AM -0400, you wrote:
>On Thursday, August 14, 2003, at 11:07 AM, Paul Yiu wrote:
Christopher Zeeman?
>
> >> If the Gossard perspector construction is repeated for a line parallel
> >> to the Euler line, again a congruent triangle results but the
> >> perspector has moved. The locus of these points is a line, the Zeeman
> >> line.
> >
> > Why Zeeman?
>
>Hey Paul,
>
>John had the impression (from Hyacinthos discussions) that Zeeman
>generalized Gossard to Euler lines parallel to the original and came up
>with this line. Also that this work was pre Gossard, so the Gossard
>perspector should really be the Zeeman-Gossard perspector.
I have, by the way, just confirmed your very interesting conjecture by
calculation.
Also, the equation of the Zeeman line is very elegant. It is simply
(A2+)x + (B2+)y + (C2+)z = 0.
I am sure you have already known this.
I went back to your original message and saw the same equation there.
But I think your B2+ should be BB+CA instead of BB-CA.
Best regards
Sincerely
Paul Yiu
Σάββατο 19 Οκτωβρίου 2019
HYACINTHOS 7536
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