# Circle (A_{19a}) and (A_{19b}): The Schoch intersection point circles

### Definition

Consider the second points where (A_{5a}) and (A_{5b}) meet AB (apart from C).
Connect these point to the midpoints M_{1} and M_{2} of the arcs (O_{1}) and
(O_{2}), in such a way that the second point of (A_{5a}) is connected to M_{2} and
the second point of (A_{5b}) is connected to M_{1}. These lines meet on the Schoch line in a point
A_{19a}. Let the intersection of the Schoch line and AB be A_{19b}. The distance between these points
is the Archimedean radius, and that gives two Archimedean circles in the natural way.

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