Difference between revisions of "Apollonius problem"
From Encyclopedia of Mathematics
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| − | The problem of constructing, in a given plane, a circle tangent to three given circles. The problem is solved by the method of [[Inversion|inversion]]. The circle representing the solution of this problem is known as the Apollonius circle. The problem was named after Apollonius (3rd century B.C.). | + | The problem of constructing, in a given plane, a circle tangent to three given circles. The problem is solved by the method of [[Inversion|inversion]]. The circle representing the solution of this problem is known as the Apollonius circle. The problem was named after [[Apollonius]] (3rd century B.C.). |
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<table><TR><TD valign="top">[a1]</TD> <TD valign="top"> H.F. Baker, "Principles of geometry" , '''4''' , F. Ungar (1963)</TD></TR></table> | <table><TR><TD valign="top">[a1]</TD> <TD valign="top"> H.F. Baker, "Principles of geometry" , '''4''' , F. Ungar (1963)</TD></TR></table> | ||
| + | [[Category:Geometry]] | ||
Revision as of 07:21, 16 March 2023
The problem of constructing, in a given plane, a circle tangent to three given circles. The problem is solved by the method of inversion. The circle representing the solution of this problem is known as the Apollonius circle. The problem was named after Apollonius (3rd century B.C.).
References
| [1] | , Encyclopaedia of elementary mathematics , 1 , Moscow-Leningrad (1951–1963) (In Russian) |
Comments
References
| [a1] | H.F. Baker, "Principles of geometry" , 4 , F. Ungar (1963) |
How to Cite This Entry:
Apollonius problem. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Apollonius_problem&oldid=19035
Apollonius problem. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Apollonius_problem&oldid=19035
This article was adapted from an original article by A.B. Ivanov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article