Problem of Apollonius Jesse Russell

ISBN: 9785510541137

Published: June 11th 2012

Paperback

138 pages


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Problem of Apollonius  by  Jesse Russell

Problem of Apollonius by Jesse Russell
June 11th 2012 | Paperback | PDF, EPUB, FB2, DjVu, talking book, mp3, RTF | 138 pages | ISBN: 9785510541137 | 5.49 Mb

High Quality Content by WIKIPEDIA articles! In Euclidean plane geometry, Apollonius problem is to construct circles that are tangent to three given circles in a plane (Figure 1). Apollonius of Perga (ca. 262 BC - ca. 190 BC) posed and solved thisMoreHigh Quality Content by WIKIPEDIA articles! In Euclidean plane geometry, Apollonius problem is to construct circles that are tangent to three given circles in a plane (Figure 1). Apollonius of Perga (ca. 262 BC - ca. 190 BC) posed and solved this famous problem in his work (Epapha, Tangencies)- this work has been lost, but a 4th-century report of his results by Pappus of Alexandria has survived.

Three given circles generically have eight different circles that are tangent to them (Figure 2) and each solution circle encloses or excludes the three given circles in a different way.



Enter the sum





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