Re: Help needed on hard geometry problem.
- From: johnjo <a1jrj@xxxxxxxxxxx>
- Date: Tue, 12 Feb 2008 05:14:49 -0800 (PST)
On Jan 30, 10:45 pm, TefJlives <gmarkow...@xxxxxxxxx> wrote:
On Jan 30, 7:53 am, johnjo <a1...@xxxxxxxxxxx> wrote:
On 30 Jan, 02:22, TefJlives <gmarkow...@xxxxxxxxx> wrote:
Anyone out there know how to do this one?
http://www.geocities.com/gregm112358/Hard_sudoku.pdf
It comes from the book "Japanese Temple Geometry Problems". I worked
out a brute force way to do it, but the calculations get horrible, and
in any case it's no fun. Any help is greatly appreciated.
what is "r" - incircle of ABC?
My mistake, I've added it to the link now. Yes, r is meant to be the
radius of the incircle of ABC.
Hm I got nowhere with this, despite plugging hopefully away in the
knowledge that the form looked both like Heron and the half angle
formulae. I couldnt see how the two circles really interact, but
couldnt see a useful construction.
In desperation, I found a link, which you should have a quick look at,
but you will need to hang onto your hat, because never have so many
subscripted construction points been needed for such an apparently
simple problem.
http://www.cut-the-knot.org/triangle/HardSangaku.shtml
given your pun on your diagram name maybe you were aware of this.
ho hum
best wishes
JJ
.
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