To LUGNET HomepageTo LUGNET News HomepageTo LUGNET Guide Homepage
 Help on Searching
 
Post new message to lugnet.off-topic.geekOpen lugnet.off-topic.geek in your NNTP NewsreaderTo LUGNET News Traffic PageSign In (Members)
 Off-Topic / Geek / 120
119  |  121
Subject: 
Re: Geometry problem
Newsgroups: 
lugnet.off-topic.geek
Date: 
Sat, 19 Jun 1999 00:56:15 GMT
Viewed: 
168 times
  
Kevin B wrote in message ...

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.


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
capability of the mind to process visual effects.

Frank



Message is in Reply To:
  Re: Geometry problem
 
Steve Bliss <blisses@worldnet.att.net> wrote in message news:376526fe.117992...net.com... (...) 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 (...) (25 years ago, 16-Jun-99, to lugnet.off-topic.geek)

5 Messages in This Thread:


Entire Thread on One Page:
Nested:  All | Brief | Compact | Dots
Linear:  All | Brief | Compact
    

Custom Search

©2005 LUGNET. All rights reserved. - hosted by steinbruch.info GbR