- Apollonian circle
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two families of circles such that every circle in the first family intersects every circle in the second family orthogonally and vice versa
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Apollonian circle
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Apollonian gasket — In mathematics, an Apollonian gasket or Apollonian net is a fractal generated from triples of circles, where any circle is tangent to two others. It is named after Greek mathematician Apollonius of Perga.ConstructionAn Apollonian gasket can be… … Wikipedia
Apollonian circles — Some Apollonian circles. Every blue circle intersects every red circle at a right angle. Every red circle passes through the two points, C and D, and every blue circle separates the two points. This article discusses a family of circles sharing a … Wikipedia
Circle packing theorem — Example of the circle packing theorem on K5, the complete graph on five vertices, minus one edge. The circle packing theorem (also known as the Koebe–Andreev–Thurston theorem) describes the possible tangency relations between circles in the plane … Wikipedia
Circle packing — This article describes the packing of circles on surfaces. For the related article on circle packing with a prescribed intersection graph, please see the circle packing theorem. The most efficient way to pack different sized circles together is… … Wikipedia
apollonian problem — noun Usage: usually capitalized A Etymology: Apollonian (II), after Apollonius of Perga : the problem in geometry of the construction of a circle touching three given circles … Useful english dictionary
List of circle topics — This list of circle topics includes things related to the geometric shape, either abstractly, as in idealizations studied by geometers, or concretely in physical space. It does not include metaphors like inner circle or circular reasoning in… … Wikipedia
Ford circle — In mathematics, a Ford circle is a circle with centre at ( p/q , 1/(2 q 2)) and radius 1/(2 q 2), where p/q is an irreducible fraction, i.e. p and q are coprime integers.HistoryFord circles are named after American mathematician Lester R. Ford,… … Wikipedia
Circles of Apollonius — Apollonian circle redirects here. For a subdivision of this subject, see Apollonian circles. The term circle of Apollonius is used to describe several types of circles associated with Apollonius of Perga, a renowned Greek geometer. Most of these… … Wikipedia
Problem of Apollonius — In Euclidean plane geometry, Apollonius problem is to construct circles that are tangent to three given circles in a plane (Figure 1); two circles are tangent if they touch at a single point. Apollonius of Perga (ca. 262 BC ndash; ca. 190 BC)… … Wikipedia
Apollonius of Perga — Apollonius of Perga. Apollonius of Perga [Pergaeus] (Ancient Greek: Ἀπολλώνιος) (ca. 262 BC – ca. 190 BC) was a Greek geometer and astronomer noted for his writings on conic sections. His innovative methodology and terminology, especially in the… … Wikipedia
