TOPICS
Search

Pivotal Isocubic


A pivotal isocubic is an isocubic on the lines connecting pairs of isoconjugates that pass through a fixed point P (the pivot point).

Pivotal isocubics intersect the sidelines of a reference triangle in its vertices and the vertices of the Cevian triangle of P.

Pivotal isotomic and isogonal cubics are examples of pivotal isocubics.

The following tables lists of pivotal isocubics together with their poles and pivots.


See also

Isocubic, Pivotal Isogonal Cubic, Pivotal Isotomic Cubic

This entry contributed by Floor van Lamoen

Explore with Wolfram|Alpha

References

Ehrmann, J.-P. and Gibert, B. "Special Isocubics in the Triangle Plane." http://perso.wanadoo.fr/bernard.gibert/Resources/isocubics.pdf.Gibert, B. "Orthocorrespondence and Orthopivotal Cubics." Forum Geom. 3, 1-27, 2003. http://forumgeom.fau.edu/FG2003volume3/FG200301index.html.

Referenced on Wolfram|Alpha

Pivotal Isocubic

Cite this as:

van Lamoen, Floor. "Pivotal Isocubic." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/PivotalIsocubic.html

Subject classifications