# Circles (A_{34a}) and (A_{34b}): Older Twins

### Definition

Consider the circles through A with centers B and C. The circle tangent to these two circles and the CD from the same side as A is Archimedean.
Similarly for the circles through B with centers A and C [van Lamoen 2006].

### Generalization

- In stead of the circles through A with centers B and C, any two circles from a homothety with center A applied to (O
_{1}) and (O)
can be taken [van Lamoen 2006].

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