Petersen–Morley theorem
id:
petersen-morley-theorem-297-7996961
title:
Petersen–Morley theorem
text:
In geometry, the Petersen–Morley theorem states that, if
a,
b,
c
are three general skew lines in space, if
a′,
b′,
c′ are the lines of shortest distance
respectively for the pairs (b,c), (c,a) and (a,b),
and if p, q and r
are the lines of shortest distance respectively
for the pairs (a,a′), (b,b′) and (c,c′), then there
is a single line meeting at right angles all of
p,
q,
and
r. The theorem is named after Johannes Hjelmslev and Frank Morley.
brand slug:
wiki
category slug:
encyclopedia
description:
Geometric construction regarding 3 skew lines in space
original url:
https://en.wikipedia.org/wiki/Petersen%E2%80%93Morley_theorem
date created:
date modified:
2023-07-25T18:24:47Z
main entity:
{"identifier":"Q21755500","url":"https://www.wikidata.org/entity/Q21755500"}
image:
fields total:
13
integrity:
14