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Math Help - circle geomtry III

  1. #1
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    circle geomtry III

    2 circles touch one another externally @ point A.

    A straight line through A meets one of the circles @ T and the other @ S.

    Prove that the tangent to the 1st circle is parallel to the tangent to the 2nd circle @ S.
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  2. #2
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    Quote Originally Posted by the undertaker View Post
    2 circles touch one another externally @ point A.

    A straight line through A meets one of the circles @ T and the other @ S.

    Prove that the tangent to the 1st circle is parallel to the tangent to the 2nd circle @ S.
    Draw 2 circles with points appropriately labelled. Then, draw a tangent across S, T and A where the tangent at A intersect the ones at S and T.

    Now, use the property of equal tangents to continue.
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