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Geometry (great circles)

  1. Nov 27, 2005 #1
    consider the 3 great circles C1,C2,C3 with respective normals
    (0,-1,1) (1,0,1) (1,1,0), and let f = Rc3Rc2Rc1

    is f orientation preserving or orientation reversing.

    can i make a matrix using the normals... then calculate the determinate of A. and if its negative then its reversing and if its positive then its preserving... or can i only calculate the matrix when its givin to me....
     
  2. jcsd
  3. Nov 28, 2005 #2

    HallsofIvy

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    I don't understand your notation. What does "Rc3Rc2Rc1" mean? I assume that the c3, c2, c1 should really be C3, C2, C1, but what is R?
     
  4. Nov 28, 2005 #3
    R means reflection, sorry i should have stated that
    so reflection in C3 Reflection in C2 and Reflection in C1
     
  5. Nov 28, 2005 #4

    HallsofIvy

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    "Reflection in C3"? C1, C2, C3 are great circles on a sphere? And reflection is to the other hemisphere?
    Reflection, generally, is orientation reversing. Two reflections would be orientation preserving and 3, as you have here, orientation reversing.
     
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