19 Sep
2008
19 Sep
'08
8:26 a.m.
That reminds me of an old puzzle which I posted to the internet in 1993, and it is still there: http://groups.google.com/group/rec.puzzles/browse_thread/thread/281a9299b200... Not sure if it can be Brahmaguptaed, though :) On Wed, Sep 3, 2008 at 7:52 AM, <rwg@sdf.lonestar.org> wrote:
"Everybody" knows that, given any triangle, the sum of the angle tangents equals their product. This "Brahmagupts" into Given any quadrilateral, the sum of the angle tangents equals their product times the sum of the cotangents. Can't be new. But probably newer than Brahmagupta, since, even for trapezoids, it just says 0=0. --rwg