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Problem of Apollonius

  • Kartonierter Einband
  • 128 Seiten
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High Quality Content by WIKIPEDIA articles! n Euclidean plane geometry, Apollonius' problem is to construct circles that are ... Weiterlesen
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Beschreibung

High Quality Content by WIKIPEDIA articles! n Euclidean plane geometry, Apollonius' problem is to construct circles that are tangent to three given circles in a plane. Apollonius of Perga (ca. 262 BC ca. 190 BC) posed and solved this famous problem in his work (Epaphaí, "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.

Produktinformationen

Titel: Problem of Apollonius
Untertitel: Euclidean Geometry, Circle, Tangent, Apollonius of Perga, Pappus of Alexandria, Adriaan van Roomen, Hyperbola, Compass and Straightedge Constructions, Franciscus Vieta
Editor:
EAN: 9786130348205
ISBN: 978-613-0-34820-5
Format: Kartonierter Einband
Herausgeber: Betascript Publishing
Genre: Mathematik
Anzahl Seiten: 128
Gewicht: 207g
Größe: H220mm x B150mm x T8mm
Jahr: 2010
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