Results 1 to 2 of 2

Math Help - Hyperbolic Geometry help I

  1. #1
    Newbie
    Joined
    Nov 2009
    Posts
    18

    Hyperbolic Geometry help I

    this is of course all in hyperbolic geometry...

    I have a couple of questions that are puzzling me. These first two are what i really need help. thank you for any help!

    1. how do you prove that the summit of a saccheri quadrilateral is longer than the base? i know you prove by contradiction, and I know how to prove that the summit is not equal to the base, so really, how do you prove that the summit is not shorter than the base?

    2.prove that there are pairs of parallel lines that do not admit a common perpendicular. this i am just stuck on. must this have something to do again with that angle of parallelism, ultra parallel, etc?
    Last edited by Ackbeet; May 4th 2011 at 02:17 AM. Reason: Splitting thread.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member
    Joined
    May 2010
    From
    Los Angeles, California
    Posts
    274
    Thanks
    1

    Re: Hyperbolic Geometry help I

    (1) can be proved directly. Divide the quadriliateral into two quadrilaterals by joining the midpoints of the base and the summit. Now use the result that the greater summit angle in a quadrilateral always lies opposite the greater arm.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Hyperbolic geometry
    Posted in the Geometry Forum
    Replies: 4
    Last Post: May 22nd 2011, 04:26 AM
  2. Hyperbolic Geometry help II
    Posted in the Advanced Math Topics Forum
    Replies: 0
    Last Post: May 3rd 2011, 10:09 PM
  3. Hyperbolic Geometry
    Posted in the Differential Geometry Forum
    Replies: 3
    Last Post: January 17th 2011, 07:29 PM
  4. Hyperbolic Geometry
    Posted in the Differential Geometry Forum
    Replies: 3
    Last Post: December 13th 2010, 04:50 AM
  5. Hyperbolic geometry
    Posted in the Geometry Forum
    Replies: 1
    Last Post: April 8th 2010, 01:34 PM

Search Tags


/mathhelpforum @mathhelpforum