Bitangents of a quartic
id:
bitangents-of-a-quartic-192-11595035
title:
Bitangents of a quartic
text:
In the theory of algebraic plane curves, a general quartic plane curve has 28 bitangent lines, lines that are tangent to the curve in two places. These lines exist in the complex projective plane, but it is possible to define quartic curves for which all 28 of these lines have real numbers as their coordinates and therefore belong to the Euclidean plane. An explicit quartic with twenty-eight real bitangents was first given by Plücker (1839) As Plücker showed, the number of real bitangents of any
brand slug:
wiki
category slug:
encyclopedia
description:
28 lines which touch a general quartic plane curve in two places
original url:
https://en.wikipedia.org/wiki/Bitangents_of_a_quartic
date created:
date modified:
2024-03-10T12:18:21Z
main entity:
{"identifier":"Q4918750","url":"https://www.wikidata.org/entity/Q4918750"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/d/da/TrottCurveBiTangents7.svg","width":650,"height":500}
fields total:
13
integrity:
15