Results 1 to 2 of 2

Math Help - excess of a triangle

  1. #1
    Newbie
    Joined
    Dec 2012
    From
    Los Angeles
    Posts
    12

    excess of a triangle

    Given that the angle sum of a triangle made of great circle arcs on a sphere (a spherical triangle) is greater than two right angles, define the excess of a triangle as the difference between its angle sum and 180.Show that if a spherical triangle ABC is split into two triangles by an arc BD from vertex B to the opposite side, then the excess of triangle ABC is equal to the sum of the excesses of triangles ABD and BDC.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Forum Admin topsquark's Avatar
    Joined
    Jan 2006
    From
    Wellsville, NY
    Posts
    9,854
    Thanks
    321
    Awards
    1

    Re: excess of a triangle

    Quote Originally Posted by henderson7878 View Post
    Given that the angle sum of a triangle made of great circle arcs on a sphere (a spherical triangle) is greater than two right angles, define the excess of a triangle as the difference between its angle sum and 180.Show that if a spherical triangle ABC is split into two triangles by an arc BD from vertex B to the opposite side, then the excess of triangle ABC is equal to the sum of the excesses of triangles ABD and BDC.
    What have you been able to do with this?

    -Dan
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Excess expected retun mathematical definition
    Posted in the Business Math Forum
    Replies: 1
    Last Post: August 19th 2012, 01:04 PM
  2. Replies: 4
    Last Post: August 8th 2012, 06:49 AM
  3. [SOLVED] Weierstass's Excess Function - minimizing curve
    Posted in the Advanced Applied Math Forum
    Replies: 13
    Last Post: October 12th 2010, 09:51 AM
  4. Replies: 1
    Last Post: October 1st 2010, 09:37 AM
  5. Replies: 1
    Last Post: October 28th 2008, 07:02 PM

Search Tags


/mathhelpforum @mathhelpforum