About: Six circles theorem   Goto Sponge  NotDistinct  Permalink

An Entity of Type : yago:WikicatCircles, within Data Space : dbpedia.org associated with source document(s)
QRcode icon
http://dbpedia.org/describe/?url=http%3A%2F%2Fdbpedia.org%2Fresource%2FSix_circles_theorem

In geometry, the six circles theorem relates to a chain of six circles together with a triangle, such that each circle is tangent to two sides of the triangle and also to the preceding circle in the chain. The chain closes, in the sense that the sixth circle is always tangent to the first circle. The name may also refer to Miquel's six circles theorem, the result that if five circles have four triple points of intersection then the remaining four points of intersection lie on a sixth circle.

AttributesValues
rdf:type
rdfs:label
  • Théorème des six cercles
  • Six circles theorem
  • Теорема о шести окружностях
rdfs:comment
  • Теорема о шести окружностях — теорема в геометрии треугольника.
  • In geometry, the six circles theorem relates to a chain of six circles together with a triangle, such that each circle is tangent to two sides of the triangle and also to the preceding circle in the chain. The chain closes, in the sense that the sixth circle is always tangent to the first circle. The name may also refer to Miquel's six circles theorem, the result that if five circles have four triple points of intersection then the remaining four points of intersection lie on a sixth circle.
  • En géométrie euclidienne plane, le théorème des six cercles s'énonce ainsi : Soit un triangle vrai quelconque, les côtés étant numérotés c1, c2 c3. On considère un cercle Γ1 quelconque, tangent aux côtés c1 et c2. Puis le cercle Γ2 tangent à Γ1, c2 et c3, le cercle Γ3 tangent à Γ2, c3 et c1, et ainsi de suite en « tournant » dans le triangle. Alors, le cercle Γ6 est tangent à Γ1. Autrement dit, le septième cercle construit est confondu avec le premier. La suite des cercles, a priori infinie, n'est, d'après le théorème, constituée que de six cercles différents.
sameAs
dct:subject
Wikipage page ID
Wikipage revision ID
Link from a Wikipage to another Wikipage
Link from a Wikipage to an external page
foaf:depiction
  • External Image
foaf:isPrimaryTopicOf
thumbnail
prov:wasDerivedFrom
has abstract
  • En géométrie euclidienne plane, le théorème des six cercles s'énonce ainsi : Soit un triangle vrai quelconque, les côtés étant numérotés c1, c2 c3. On considère un cercle Γ1 quelconque, tangent aux côtés c1 et c2. Puis le cercle Γ2 tangent à Γ1, c2 et c3, le cercle Γ3 tangent à Γ2, c3 et c1, et ainsi de suite en « tournant » dans le triangle. Alors, le cercle Γ6 est tangent à Γ1. Autrement dit, le septième cercle construit est confondu avec le premier. La suite des cercles, a priori infinie, n'est, d'après le théorème, constituée que de six cercles différents. * Portail de la géométrie Portail de la géométrie
  • Теорема о шести окружностях — теорема в геометрии треугольника.
  • In geometry, the six circles theorem relates to a chain of six circles together with a triangle, such that each circle is tangent to two sides of the triangle and also to the preceding circle in the chain. The chain closes, in the sense that the sixth circle is always tangent to the first circle. The name may also refer to Miquel's six circles theorem, the result that if five circles have four triple points of intersection then the remaining four points of intersection lie on a sixth circle.
title
  • Six Circles Theorem
urlname
  • SixCirclesTheorem
http://purl.org/voc/vrank#hasRank
http://purl.org/li...ics/gold/hypernym
is Link from a Wikipage to another Wikipage of
is Wikipage redirect of
is foaf:primaryTopic of
Faceted Search & Find service v1.17_git21 as of Mar 09 2019


Alternative Linked Data Documents: iSPARQL | ODE     Content Formats:       RDF       ODATA       Microdata      About   
This material is Open Knowledge   W3C Semantic Web Technology [RDF Data] Valid XHTML + RDFa
OpenLink Virtuoso version 07.20.3230 as of Apr 1 2019, on Linux (x86_64-generic-linux-glibc25), Single-Server Edition (61 GB total memory)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2019 OpenLink Software