Re: Winternitz Theorem

From: George Baloglou (baloglou_at_panix.com)
Date: 09/27/04 

Date: Mon, 27 Sep 2004 00:30:02 +0000 (UTC)

>[reply address is baloglouAToswego.edu]

Actually, reference #3 in the paper mentioned right below is claimed by its
authors to be a direct source for Winternitz's theorem -- I missed a certain
superscript on first (html) reading -- and that's W. Blaschke's Vorlesungen
uber Differentialgeometrie, volume II [Affine Differentialgeometrie], 1923.

>A reference *might* be in references #12 or #16 or #21 (but not #18 or #19)
>of http://cg.scs.carleton.ca/~morin/publications/facility/center-ijcga.pdf ,
>the co-authors of which refer to Winternitz's Theorem as "a classical result
>that has been rediscovered many times [references] #12, #16, #18, #19, #21".
>[This much I found by running a google search for Klee + Winternitz; I also
>found Grunbaum's "Measures of Symmetry for Convex Sets", Proceedings of
>Symposia in Pure Mathematics #7 pp. 233-270, which mentions *Winternitz's
>Measure* (and *might* therefore include a reference to the original paper).]
>
> baloglouAToswego.edu
>
>Time in its slow, illimitable course brings all to light and buries all again
>[Sophocles, Ajax 647]
>