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Subject: 
Re: Geometry problem
Newsgroups: 
lugnet.off-topic.geek
Date: 
Wed, 16 Jun 1999 01:10:59 GMT
Viewed: 
155 times
  
Steve Bliss <blisses@worldnet.att.net> wrote in message
news:376526fe.11799230@lugnet.com...
On Mon, 14 Jun 1999 14:41:54 GMT, Fredrik Glöckner
<fredrik.glockner@bio.uio.no> wrote:

I admit that this puzzles me, but then again, it's the end of the
working day.

   http://quimby.gnus.org/circus/problem.gif

Fredrik

[Spoiler space added]
















































Hmm, haven't checked all figures, but the two triangles are not similar
(same shape): the green triangle has a slope of 2/5, the red triangle is
3/8.  So the two aggregate figures (which appear to be triangles, but are
really quadrilateralts) are not the same shape/size.

Steve

Bingo.  That is the answer to the problem.  I had one similar to this in a
gometry class once.  It is a sort of optical illusion.  The angles are
close, but they are not the same.  If you drew a line from upper right tip
to lower left tip, you would get a triangle with an area of 1 square.

Kevin B
aka Battlehammer



Message has 2 Replies:
  Re: Geometry problem
 
(...) A very similar one is in my mothers' bundle of Lewis Carroll works, originally published before WWII... Jasper (25 years ago, 18-Jun-99, to lugnet.off-topic.geek)
  Re: Geometry problem
 
Kevin B wrote in message ... (...) Cool problem. I am actually visually able to see the fact that the "hypotenuse" of the combined area is not straight. I see the top hypotenuse as concave, and the lower as convex. It sometimes amazes me at the (...) (25 years ago, 19-Jun-99, to lugnet.off-topic.geek)

Message is in Reply To:
  Re: Geometry problem
 
(...) [Spoiler space added] Hmm, haven't checked all figures, but the two triangles are not similar (same shape): the green triangle has a slope of 2/5, the red triangle is 3/8. So the two aggregate figures (which appear to be triangles, but are (...) (25 years ago, 14-Jun-99, to lugnet.off-topic.geek)

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