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Can anyone guide me how to prove this question?

  1. Sep 30, 2006 #1
    Can anyone guide me how to prove this question??

    Question:
    We want to describe via a picture a set of subsets of a square which are something like diagonals, but are not quite the same. We'll call them steep diagonals. One of them, labelled e, is illustrated in the square below; the other 6 are parallel to it

    x_e_x_x_x_x_x
    x_x_x_x_e_x_x
    e_x_x_x_x_x_x
    x_x_x_e_x_x_x
    x_x_x_x_x_x_e
    x_x_e_x_x_x_x
    x_x_x_x_x_e_x

    State and prove a theorem about under what conditions we can expect that the sums on the positive ( or negative ) steep diagonals are constant, when we're dealing with a square full of consecutive integers starting at 0.
     
  2. jcsd
  3. Sep 30, 2006 #2

    matt grime

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    You're supposed to say what you've done before you get help.
     
  4. Sep 30, 2006 #3
    Please guide me to start - a simple clue please , if possible. Thank you.
    I really don't know what to start with for this question.
     
  5. Sep 30, 2006 #4

    matt grime

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    Start by writing out the square, drawing some steep diagonals and then thinking about what you see.
     
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