Conic tangency equations and Apollonius problems in biochemistry and pharmacology

DOI10.1016/S0378-4754(02)00122-2zbMath1016.51014WikidataQ56532140 ScholiaQ56532140MaRDI QIDQ1861516

Stephen Bridgett, Robert H. Lewis

Publication date: 9 March 2003

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

zbMATH Keywords

polynomial systemmedial axisApollonius problemsconic tangency equations

Mathematics Subject Classification ID

Geometric constructions in real or complex geometry (51M15)

Related Items (11)

Complexity of constructing Dixon resultant matrix ⋮ A recursive algorithm for constructing complicated Dixon matrices ⋮ An analytical approach based on Dixon resultant for the inverse kinematics of 6R robot manipulators with offset wrists ⋮ Mobile disks in hyperbolic space and minimization of conformal capacity ⋮ Dixon-EDF: The Premier Method for Solution of Parametric Polynomial Systems ⋮ Differential elimination with Dixon resultants ⋮ 3D extension of Steiner chains problem ⋮ Heuristics to accelerate the Dixon resultant ⋮ Comparing acceleration techniques for the Dixon and Macaulay resultants ⋮ A new solution of Apollonius' problem based on stereographic projections of Möbius and Laguerre planes ⋮ Heuristics to sift extraneous factors in Dixon resultants

Uses Software

• Fermat
• DOCK

Cites Work

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• Generalized resultants over unirational algebraic varieties
• Beyond the Descartes Circle Theorem
• On a Theorem in Geometry
• The Problem of Apollonius
• The Osculatory Packing of a Three Dimensional Sphere
• The Apollonian Packing of Circles

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