Σάββατο 19 Οκτωβρίου 2019

HYACINTHOS 7536

  • 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:
    >
    > >> 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.


    Christopher Zeeman?

    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

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