Subject: Re: [HM] Benjamin Bevan's Problem
From: Dick Tahta (d.tahta@open.ac.uk)
Date: Wed Jan 26 2000 - 07:34:55 EST
> Nine-point circle.....an otherwise unknown Englishman, Benjamin Bevan,
> proposed a problem in >1804 which is practically equivalent.....
> Question: Which was B. Bevan's problem?
> Antreas
Bevan proposed his problem in Leybourn's Mathematical Repository, I (1804)
p18 and a solution was given by John Butterworth in loc cit, p143. The
problem was to prove that O was the midpoint of I and the circumcentre of
the excentral triangle (Kimberling's X40), and that the circumradius of the
excentral triangle was 2R.
Dick Tahta
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