The problem here is to find the whole sequence given the two limiting circles and the first circle a

A first solution is to consider the circle-bundle (I) generated by the circles c

By the construction procedure we see that the points of mutual contact of the chain circles are on a circle f centered on O, which is the radical axis of every tripple of circle (a, b, c), where a, b are members of bundle (I) and c is a circle of the chain. There is an easier way to obtain this chain of circles explained in SteinerChain2.html .

InvertToCanonical.html

Euler.html

Steiner_Chain.html

SteinerChain2.html

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