Constant chord theorem
id:
constant-chord-theorem-230-1402722
title:
Constant chord theorem
text:
The constant chord theorem is a statement in elementary geometry about a property of certain chords in two intersecting circles. The circles k 1 and k 2 intersect in the points P and Q. Z 1 is an arbitrary point on k 1 being different from P and Q. The lines Z 1 P and Z 1 Q intersect the circle k 2 in P 1 and Q 1. The constant chord theorem then states that the length of the chord P 1 Q 1 in k 2 does not depend on the location of Z 1 on k 1, in other words the length is constant. The theorem sta
brand slug:
wiki
category slug:
encyclopedia
description:
Invariant cord in one of two intersecting circles based on any point in the other
original url:
https://en.wikipedia.org/wiki/Constant_chord_theorem
date created:
2019-01-19T05:42:08Z
date modified:
2024-09-15T16:23:19Z
main entity:
{"identifier":"Q60681777","url":"https://www.wikidata.org/entity/Q60681777"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/e/ee/Satz_von_der_konstanten_Sehne2.svg","width":680,"height":484}
fields total:
13
integrity:
16