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WildTrig21: Trigonometry with Finite Fields (III)

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Uploaded by on Jun 17, 2008

This video discusses lines in Euclidean geometry over finite fields, and shows why the Spread and Cross laws hold. The circumcenter and circumcircle of an example triangle are found over F_7.

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  • Very true. The theory does not work in characteristic two, namely a field in which 2=0.

    Let me also add that there is a further possible complication that happens in some fields---the denominator in the formula for spread can be zero, so the spread between two lines may be undefined. I will comment on this phenomenon, which relates to special relativity, in a later video.

  • 1/4K, midpoints,... Seems that much of what you say excludes fields of characteristic two.

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