From Pappus’ Theorem to the Twisted Cubic

Author: Hooper W.  

Publisher: Springer Publishing Company

ISSN: 0046-5755

Source: Geometriae Dedicata, Vol.110, Iss.1, 2005-02, pp. : 103-134

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Abstract

We discuss a classical result in planar projective geometry known as Steiner’s theorem involving 12 interlocking applications of Pappus’ theorem. We prove this result using three dimensional projective geometry then uncover the dynamics of this construction and relate them to the geometry of the twisted cubic.