Dual curve
id:
dual-curve-289-9902256
title:
Dual curve
text:
In projective geometry, a dual curve of a given plane curve C is a curve in the dual projective plane consisting of the set of lines tangent to C. There is a map from a curve to its dual, sending each point to the point dual to its tangent line. If C is algebraic then so is its dual and the degree of the dual is known as the class of the original curve. The equation of the dual of C, given in line coordinates, is known as the tangential equation of C. Duality is an involution: the dual of the du
brand slug:
wiki
category slug:
encyclopedia
description:
Curve in the dual projective plane made from all lines tangent to a given curve
original url:
https://en.wikipedia.org/wiki/Dual_curve
date created:
date modified:
2024-04-03T10:41:37Z
main entity:
{"identifier":"Q641661","url":"https://www.wikidata.org/entity/Q641661"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/2/2a/Dual_curve.svg","width":420,"height":290}
fields total:
13
integrity:
15