Giovanni Lucca, Chains of tangent circles inscribed in a triangle,
Forum Geometricorum, 17 (2017) 41--44.
Abstract. Starting from the incircle of a generic triangle, we construct three infinite chains of circles having the property that the generic i-th circle of the chain is tangent to the (i-1)-th and (i+1)-th ones and to two sides of the triangle. Furthermore, we look for the conditions which guarantee that the ratio between the inradius and the radius of every circle in the three chains is an integer.
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