Orthoptic (geometry)
id:
orthoptic-geometry-251-624701
title:
Orthoptic (geometry)
text:
In the geometry of curves, an orthoptic is the set of points for which two tangents of a given curve meet at a right angle. Examples: The orthoptic of a parabola is its directrix,
The orthoptic of an ellipse x 2 a 2 + y 2 b 2 = 1 is the director circle x 2 + y 2 = a 2 + b 2 ,
The orthoptic of a hyperbola x 2 a 2 − y 2 b 2 = 1 , a > b is the director circle x 2 + y 2 = a 2 − b 2 ,
The orthoptic of an astroid x 2 / 3 + y 2 / 3 = 1 is a quadrifolium with the polar equation r = 1 2 cos , 0 ≤ φ
brand slug:
wiki
category slug:
encyclopedia
description:
All points for which two tangents of a curve intersect at 90° angles
original url:
https://en.wikipedia.org/wiki/Orthoptic_(geometry)
date created:
date modified:
2023-09-25T00:20:56Z
main entity:
{"identifier":"Q117834946","url":"https://www.wikidata.org/entity/Q117834946"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/4/4e/Parabel-orthop.svg","width":369,"height":270}
fields total:
13
integrity:
15