Variations on Steiner’s Porism

Steiner's porism is a remarkable theorem of Euclidean geometry from the 19th century. Poristic properties are geometrical results about the existence of geometrical configurations of figures that cannot exist unless a condition is met, but otherwise may exist in infinite number. Another classic...

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Veröffentlicht in:The Mathematical intelligencer 2017-03, Vol.39 (1), p.6-11
Hauptverfasser: Baralic, Dorde, Jokanovic, Dusan, Milicevic, Marina
Format: Artikel
Sprache:eng
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Zusammenfassung:Steiner's porism is a remarkable theorem of Euclidean geometry from the 19th century. Poristic properties are geometrical results about the existence of geometrical configurations of figures that cannot exist unless a condition is met, but otherwise may exist in infinite number. Another classical example of a poristic property is the famous Poncelet's porism. Here, Baralic et al discuss several generalization of Steiner porism.
ISSN:0343-6993
1866-7414
DOI:10.1007/s00283-016-9680-z