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Tangent circles

{title2=$|c_1-c_2|=|r_1-r_2|>0$}

Two distinct positive-<radius> <circles> have internal tangency when their boundaries meet at exactly one point and one <disk> contains the other. Their centre separation equals the absolute difference of their <radii>.

Internal tangency

Four contact points of a circle chain

Past exam of the metric spaces and complex analysis course of the University of Oxford / 2015 / 6 / c / Solution

Internal tangency ( $∣ c_{1} - c_{2} ∣ = ∣ r_{1} - r_{2} ∣ > 0$ )

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Internal tangency (∣c1​−c2​∣=∣r1​−r2​∣>0)

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Internal tangency ( $∣ c_{1} - c_{2} ∣ = ∣ r_{1} - r_{2} ∣ > 0$ )

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