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Math Help - Transformation

  1. #1
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    Transformation

    If a variable circle K touches a fixed circle K1 and is orthogonal to another fixed circle K2, using inversion, how can we show that K touches another fixed circle coaxial with K1 and K2?
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  2. #2
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    Quote Originally Posted by geo_math View Post
    If a variable circle K touches a fixed circle K1 and is orthogonal to another fixed circle K2, using inversion, how can we show that K touches another fixed circle coaxial with K1 and K2?
    Invert with respect to K2. Then the variable circle is self-inverse, so it must also touch the inverse of K1.
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