Results 1 to 7 of 7
Like Tree3Thanks
  • 1 Post By Plato
  • 1 Post By HallsofIvy
  • 1 Post By Walagaster

Thread: Cunstruction with compasses and ruller

  1. #1
    Member
    Joined
    Dec 2017
    From
    Tel Aviv
    Posts
    133

    Cunstruction with compasses and ruller

    Are there construction with compasses and ruler of non-Euclidean geometry?
    Can I get a link to site of it?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Aug 2006
    Posts
    22,035
    Thanks
    2946
    Awards
    1

    Re: Cunstruction with compasses and ruller

    Quote Originally Posted by policer View Post
    Are there construction with compasses and ruler of non-Euclidean geometry?
    Can I get a link to site of it?
    If you have a computer file, then click the $\boxed{\text{Go Adavanced}}$ tab.
    Find and click the $\boxed{\text{Manage Attachments}}$ tab & follow instructions.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    Dec 2017
    From
    Tel Aviv
    Posts
    133

    Re: Cunstruction with compasses and ruller

    I just what to understand if there is any information about comapasses and ruller in non-Euclidean geometries?
    If not, it is o.k.!!!
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor

    Joined
    Aug 2006
    Posts
    22,035
    Thanks
    2946
    Awards
    1

    Re: Cunstruction with compasses and ruller

    Quote Originally Posted by policer View Post
    I just what to understand if there is any information about comapasses and ruller in non-Euclidean geometries?
    If not, it is o.k.!!!
    I am looking at three textbooks in non-Euclidean geometries. No one of which even mention constructions. So I have no idea where you can find material in that topic if it even exists.
    Thanks from topsquark
    Follow Math Help Forum on Facebook and Google+

  5. #5
    MHF Contributor

    Joined
    Apr 2005
    Posts
    19,971
    Thanks
    3114

    Re: Cunstruction with compasses and ruller

    The straight edge, in Euclidean geometry, allows you to construct a line through two given points. The compasses allow you to construct the circle with given center and radius. What figures correspond to "lines" and "circles" in non-Euclidean geometry?
    Thanks from topsquark
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Member
    Joined
    Dec 2017
    From
    Tel Aviv
    Posts
    133

    Re: Cunstruction with compasses and ruller

    Althought the use of compasses and ruler in geometry, there is a possibility to use another tools.
    In the history of math, there are also different tools that are different from those.
    So, if the tools are not ruler and compasses.. you can build with another tools.
    Why you are thinking that there are no-notes about it? (In the Internet?)
    Follow Math Help Forum on Facebook and Google+

  7. #7
    Member Walagaster's Avatar
    Joined
    Apr 2018
    From
    Tempe, AZ
    Posts
    111
    Thanks
    47

    Re: Cunstruction with compasses and ruller

    Quote Originally Posted by policer View Post
    Althought the use of compasses and ruler in geometry, there is a possibility to use another tools.
    In the history of math, there are also different tools that are different from those.
    So, if the tools are not ruler and compasses.. you can build with another tools.
    Why you are thinking that there are no-notes about it? (In the Internet?)
    I think you are confusing two notions. For example, in ruler-compass constructions you have a collapsible compass and an unmarked straight edge. So you can't directly mark off a given length on a line and transfer that length to a different line with those tools. In other words, the compass can't be used like a mechanical drawing set of dividers, which hold their setting when lifted from the paper. But, with the ruler and collapsible compass you can effect the same thing with a few construction steps. So, effectively, you can add a set of dividers to your Euclidean toolset.

    But your original post asked about tools for non-Euclidean geometry. That's a different thing. It's not my field, but I don't think you have addressed the points raised by HallsOfIvy in post #5.
    Thanks from topsquark
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. trying to find best compasses/dividers
    Posted in the Geometry Forum
    Replies: 2
    Last Post: Feb 26th 2010, 05:45 AM
  2. Replies: 4
    Last Post: May 16th 2008, 09:16 PM

/mathhelpforum @mathhelpforum