Quasi-circles through prescribed points John Mackay 30L1030C6551F99Quasi-circlequasi-arclinearly connectedbounded turningn-Bogensatz. We show that in an $L$-annularly linearly connected, $N$-doubling, complete metric space, any $n$ points lie on a $\lambda$-quasi-circle, where $\lambda$ depends only on $L, N$, and $n$. This implies that, for example, if $G$ is a hyperbolic group that does not split over any virtually cyclic subgroup, then any geodesic line in $G$ lies in a quasi-isometrically embedded copy of $\mathbb{H}^2$. Indiana University Mathematics Journal 2014 text pdf 10.1512/iumj.2014.63.5211 10.1512/iumj.2014.63.5211 en Indiana Univ. Math. J. 63 (2014) 403 - 417 state-of-the-art mathematics http://iumj.org/access/