The 60 Pascal lines of a hexagon inscribed in a conic section intersect three at a time through 20 Steiner points. There is a dual relationship between the 15 Plücker lines and the 15 Salmon points.
Plücker Lines
See also
Kirkman Points, Pascal Lines, Pascal's Theorem, Salmon Points, Steiner PointsExplore with Wolfram|Alpha
References
Johnson, R. A. Modern Geometry: An Elementary Treatise on the Geometry of the Triangle and the Circle. Boston, MA: Houghton Mifflin, pp. 236-237, 1929.Plücker, M. J. reine angew. Math. 5, p. 274.Salmon, G. "Notes: Pascal's Theorem, Art. 267" in A Treatise on Conic Sections, 6th ed. New York: Chelsea, pp. 379-382, 1960.Wells, D. The Penguin Dictionary of Curious and Interesting Geometry. London: Penguin, p. 172, 1991.Referenced on Wolfram|Alpha
Plücker LinesCite this as:
Weisstein, Eric W. "Plücker Lines." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/PlueckerLines.html