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- Villarceau_circles abstract "In geometry, Villarceau circles /viːlɑrˈsoʊ/ are a pair of circles produced by cutting a torus diagonally through the center at the correct angle. Given an arbitrary point on a torus, four circles can be drawn through it. One is in the plane (containing the point) parallel to the equatorial plane of the torus. Another is perpendicular to it. The other two are Villarceau circles. They are named after the French astronomer and mathematician Yvon Villarceau (1813–1883). Mannheim (1903) showed that the Villarceau circles meet all of the parallel circular cross-sections of the torus at the same angle, a result that he said a Colonel Schoelcher had presented at a congress in 1891.".
- Villarceau_circles thumbnail Villarceau_circles.gif?width=300.
- Villarceau_circles wikiPageExternalLink jgg06.htm.
- Villarceau_circles wikiPageExternalLink Torus.html.
- Villarceau_circles wikiPageExternalLink hypertorus.html.
- Villarceau_circles wikiPageExternalLink article-les-cercles-du-tore-38982808.html.
- Villarceau_circles wikiPageID "1547360".
- Villarceau_circles wikiPageLength "9005".
- Villarceau_circles wikiPageOutDegree "32".
- Villarceau_circles wikiPageRevisionID "616980675".
- Villarceau_circles wikiPageWikiLink Algebraic_geometry.
- Villarceau_circles wikiPageWikiLink Astronomer.
- Villarceau_circles wikiPageWikiLink Category:Circles.
- Villarceau_circles wikiPageWikiLink Category:Fiber_bundles.
- Villarceau_circles wikiPageWikiLink Category:Toric_sections.
- Villarceau_circles wikiPageWikiLink Circle.
- Villarceau_circles wikiPageWikiLink Concentric.
- Villarceau_circles wikiPageWikiLink Conic_section.
- Villarceau_circles wikiPageWikiLink Euclidean_space.
- Villarceau_circles wikiPageWikiLink File:Villarceau_circles.gif.
- Villarceau_circles wikiPageWikiLink Geometry.
- Villarceau_circles wikiPageWikiLink H._S._M._Coxeter.
- Villarceau_circles wikiPageWikiLink Harold_Scott_MacDonald_Coxeter.
- Villarceau_circles wikiPageWikiLink Hopf_fibration.
- Villarceau_circles wikiPageWikiLink Hypotenuse.
- Villarceau_circles wikiPageWikiLink Irreducibility_(mathematics).
- Villarceau_circles wikiPageWikiLink Irreducible_(mathematics).
- Villarceau_circles wikiPageWikiLink MathWorld.
- Villarceau_circles wikiPageWikiLink Mathematician.
- Villarceau_circles wikiPageWikiLink Nouvelles_Annales_de_Mathématiques.
- Villarceau_circles wikiPageWikiLink Parametric_equation.
- Villarceau_circles wikiPageWikiLink Perpendicular.
- Villarceau_circles wikiPageWikiLink Quartic_equation.
- Villarceau_circles wikiPageWikiLink Quartic_function.
- Villarceau_circles wikiPageWikiLink Stereographic_projection.
- Villarceau_circles wikiPageWikiLink Surface_of_revolution.
- Villarceau_circles wikiPageWikiLink Tangent.
- Villarceau_circles wikiPageWikiLink Tangent_lines_to_circles.
- Villarceau_circles wikiPageWikiLink Thomas_Banchoff.
- Villarceau_circles wikiPageWikiLink Toric_section.
- Villarceau_circles wikiPageWikiLink Torus.
- Villarceau_circles wikiPageWikiLink Without_loss_of_generality.
- Villarceau_circles wikiPageWikiLink Yvon_Villarceau.
- Villarceau_circles wikiPageWikiLinkText "Villarceau circles".
- Villarceau_circles hasPhotoCollection Villarceau_circles.
- Villarceau_circles wikiPageUsesTemplate Template:Cite_book.
- Villarceau_circles wikiPageUsesTemplate Template:Cite_journal.
- Villarceau_circles wikiPageUsesTemplate Template:Commons_category.
- Villarceau_circles wikiPageUsesTemplate Template:Fr.
- Villarceau_circles wikiPageUsesTemplate Template:IPAc-en.
- Villarceau_circles subject Category:Circles.
- Villarceau_circles subject Category:Fiber_bundles.
- Villarceau_circles subject Category:Toric_sections.
- Villarceau_circles hypernym Pair.
- Villarceau_circles type Article.
- Villarceau_circles type Place.
- Villarceau_circles type Article.
- Villarceau_circles comment "In geometry, Villarceau circles /viːlɑrˈsoʊ/ are a pair of circles produced by cutting a torus diagonally through the center at the correct angle. Given an arbitrary point on a torus, four circles can be drawn through it. One is in the plane (containing the point) parallel to the equatorial plane of the torus. Another is perpendicular to it. The other two are Villarceau circles. They are named after the French astronomer and mathematician Yvon Villarceau (1813–1883).".
- Villarceau_circles label "Villarceau circles".
- Villarceau_circles sameAs دائرتا_فيلاركو.
- Villarceau_circles sameAs Cercles_de_Villarceau.
- Villarceau_circles sameAs m.059dy0.
- Villarceau_circles sameAs Окружности_Вилларсо.
- Villarceau_circles sameAs Villarceaujevi_krožnici.
- Villarceau_circles sameAs Q2510719.
- Villarceau_circles sameAs Q2510719.
- Villarceau_circles wasDerivedFrom Villarceau_circles?oldid=616980675.
- Villarceau_circles depiction Villarceau_circles.gif.
- Villarceau_circles isPrimaryTopicOf Villarceau_circles.