Neuberg cubic
Sign in to saveplane curve associated with any triangle
Described at
Under the rotations with center O (resp. H) and angles +/-2π/3, the Neuberg cubic is transformed into two other circular cubics K001+ and K001–. These two cubics generate a pencil of circular cubics passing through O (resp. H) and therefore having six other common points. This pencil contains the Neuberg cubic itself hence there are two equilateral triangles with center O (resp. H) inscribed in the Neuberg cubic. See the two figures below.
Excerpt from a page describing this subject · 32,876 chars · not written by Vinony
Wikidata facts
- Named after
- Joseph Jean Baptiste Neuberg
- Image
- Neuberg cubic showing 21-point special points on it.png
Show 2 more facts
- maintained by WikiProject
- WikiProject Mathematics
- described at URL
- bernard-gibert.fr/Exemples/k001.html
via Wikidata · CC0