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The three famous geometric construction problems

  1. Aug 31, 2011 #1
    We're covering this in my History of Mathematics class. I'm not entirely sure what they're asking.

    95.png
     
  2. jcsd
  3. Aug 31, 2011 #2

    Mark44

    Staff: Mentor

    Is there some more context to this that you haven't shown? Are they slicing up a cone with circular sections that are perpendicular to the central axis of the cone?
     
  4. Aug 31, 2011 #3
  5. Sep 2, 2011 #4
    Any ideas?
     
  6. Sep 2, 2011 #5

    Mark44

    Staff: Mentor

    Your image seems related to the problem, but the best source for clarification would probably be the instructor for the course.
     
  7. Sep 2, 2011 #6

    tiny-tim

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    Hi Shackleford! :smile:

    It's talking about two sections of different circles but with the same shape (ie the same angles at the corners). :wink:
     
  8. Sep 2, 2011 #7
    Hello, tiny-tim.

    I emailed the professor. He said, "You need to show: the ratio of the areas of these two slices is equal to the ratio of the squares of their chords."

    Is this correct?

    http://i111.photobucket.com/albums/n149/camarolt4z28/IMG_20110902_190701.jpg [Broken]
     
    Last edited by a moderator: May 5, 2017
  9. Sep 3, 2011 #8

    tiny-tim

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    sorry, can't read it :redface:

    can you type it, please?​

    EDIT: oh, and i think the question means a region with one straight side (the "chord"), not two straight sides meeting at the centre :redface:
     
    Last edited: Sep 3, 2011
  10. Sep 3, 2011 #9
    The picture enlarges. It's readable.

    In each of the circles, I forgot to draw the chord. Is that what you're talking about?
     
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