Apollonius' problem

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Apollonius' problem

[‚ap·ə¦lōn·ē·əs ¦präb·ləm]
(mathematics)
The problem of constructing a circle that is tangent to three given circles.
References in periodicals archive ?
Their topics include the circle's special role in geometry, famous theorems about circles, circle constructions: the problem of Apollonius, Mascheroni constructions: using only compasses, rolling circles: hypocycloids and epicycloids, and spherical geometry: circles on the sphere.
It re-produces the work of Bulgarian math wonderkid Radko Kotev, who recently solved the ancient geometrical problem of Apollonius in a way no other mathematician has ever done.
Kotev deserved his place in the spotlight by solving the ancient geometrical problem of Apollonius in a way no other mathematician has ever done.
The problem of Apollonius is to construct circles that are tangent to three given circles in a plane.
Radko Kolev, a 19 year old Bulgarian highschool student, has solved the 2000 year old geometric problem of Apollonius in a new and unique way.