Inverse curve
id:
inverse-curve-202-1405863
title:
Inverse curve
text:
In inversive geometry, an inverse curve of a given curve C is the result of applying an inverse operation to C. Specifically, with respect to a fixed circle with center O and radius k the inverse of a point Q is the point P for which P lies on the ray OQ and OP·OQ = k2. The inverse of the curve C is then the locus of P as Q runs over C. The point O in this construction is called the center of inversion, the circle the circle of inversion, and k the radius of inversion. An inversion applied twice
brand slug:
wiki
category slug:
encyclopedia
description:
Curve created by a geometric operation
original url:
https://en.wikipedia.org/wiki/Inverse_curve
date created:
date modified:
2023-12-03T08:23:54Z
main entity:
{"identifier":"Q6060369","url":"https://www.wikidata.org/entity/Q6060369"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/0/0c/Inverse_Curves_Parabola_Cardioid.svg","width":300,"height":300}
fields total:
13
integrity:
15