Let #M# be a point and #c# a circle. #M# doesn't belong to the #c#. Let #A# and #B# be points on #c#. #AM# has to be tangent to #c# and #BM# must cut #c# in a point #C#. How can I prove that #(d(A;M))^2 = d(B;M) * d(C;M)# ? (d is a distance function)
1 Answer
Sep 3, 2017
see explanation.
Explanation:
Proof of tangent-secant theorem.
See Fig 1.
Let
Given
Let
As
Now see Fig 2.
Let
as
Footnotes : Tangent Secant theorem -- If a tangent line