Constant chord theorem
id:
constant-chord-theorem-315-15440307
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
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:
date modified:
2021-06-30T21:02:22Z
main entity:
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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:
15