Circle (A6): The C-circle
Definition
The circle centered at C tangent to the tangents from O1 to (O2) and from O2
to (O1). [Dodge e.a 1999]
Properties
- A5aA5b is a diameter of (A6).
- Let the tangent from O1 to (O2) cut a diameter XY
off (O1), and meet (O2) in U. Let UZ be a diameter of (O2).
Then (A6) is the incircle of the insquare inscribed in triangle
XYZ with one side of the square coinciding with XY.
A similar construction can be found from the tangent from O2
to (O1)
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