Plücker Lines

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.

See also

Kirkman Points, Pascal Lines, Pascal's Theorem, Salmon Points, Steiner Points

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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.

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Plücker Lines

Cite this as:

Weisstein, Eric W. "Plücker Lines." From MathWorld--A Wolfram Web Resource.

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