Poncelet–Steiner theorem
id:
poncelet-steiner-theorem-206-6679217
title:
Poncelet–Steiner theorem
text:
In the branch of mathematics known as Euclidean geometry, the Poncelet–Steiner theorem is one of several results concerning compass and straightedge constructions having additional restrictions imposed on the traditional rules. This result, related to the rusty compass equivalence, states that whatever can be constructed by straightedge and compass together can be constructed by straightedge alone, provided that a single circle and its centre are given:
- Any Euclidean construction, insofar as
brand slug:
wiki
category slug:
encyclopedia
description:
Universality of construction using just a straightedge and a single circle with center
original url:
https://en.wikipedia.org/wiki/Poncelet%E2%80%93Steiner_theorem
date created:
2004-05-13T21:52:20Z
date modified:
2024-09-10T17:21:30Z
main entity:
{"identifier":"Q1186134","url":"https://www.wikidata.org/entity/Q1186134"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/4/40/Steiner_construction_of_a_parallel_to_a_diameter.gif","width":722,"height":658}
fields total:
13
integrity:
16