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Heros and Fermats principle

  1. Jun 19, 2009 #1
    Last edited by a moderator: May 4, 2017
  2. jcsd
  3. Jun 19, 2009 #2


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    Hi nokia8650,

    The nice thing about Hero (of Alexandria)'s proof is that it is quite simple. A' is the image of A. Therefore, by symmetry, AC = A'C. Therefore, determining the shortest possible distance travelled between A and B reduces to a problem of determining the shortest possible distance between A' and B. But what is the shortest possible distance between two points? ;)
  4. Jun 20, 2009 #3
    Ah yes, i makes sense now. Thank you so much.
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