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- Cissoid_of_Diocles abstract "In geometry, the cissoid of Diocles is a cubic plane curve notable for the property that it can be used to construct two mean proportionals to a given ratio. In particular, it can be used to double a cube. It can be defined as the cissoid of a circle and a line tangent to it with respect to the point on the circle opposite to the point of tangency. In fact, the family of cissoids is named for this example and some authors refer to it simply as the cissoid. It has a single cusp at the pole, and is symmetric about the diameter of the circle which is the line of tangency of the cusp. The line is an asymptote. It is a member of the conchoid of de Sluze family of curves and in form it resembles a tractrix.The word "cissoid" comes from the Greek κισσοείδες kissoeidēs "ivy shaped" from κισσός kissos "ivy" and -οειδές -oeidēs "having the likeness of". The curve is named for Diocles who studied it in the 2nd century BCE.".
- Cissoid_of_Diocles thumbnail Cissoide2.svg?width=300.
- Cissoid_of_Diocles wikiPageExternalLink books?id=yUxtAAAAMAAJ&pg=PA85.
- Cissoid_of_Diocles wikiPageExternalLink Cissoid.html.
- Cissoid_of_Diocles wikiPageExternalLink cubicc.html.
- Cissoid_of_Diocles wikiPageExternalLink cissoiddroite.shtml.
- Cissoid_of_Diocles wikiPageExternalLink cissoidOfDiocles.html.
- Cissoid_of_Diocles wikiPageID "820041".
- Cissoid_of_Diocles wikiPageLength "13139".
- Cissoid_of_Diocles wikiPageOutDegree "35".
- Cissoid_of_Diocles wikiPageRevisionID "611543361".
- Cissoid_of_Diocles wikiPageWikiLink Asymptote.
- Cissoid_of_Diocles wikiPageWikiLink Axiom.
- Cissoid_of_Diocles wikiPageWikiLink Category:Algebraic_curves.
- Cissoid_of_Diocles wikiPageWikiLink Category:Articles_containing_proofs.
- Cissoid_of_Diocles wikiPageWikiLink Category:Curves.
- Cissoid_of_Diocles wikiPageWikiLink Cissoid.
- Cissoid_of_Diocles wikiPageWikiLink Compass-and-straightedge_construction.
- Cissoid_of_Diocles wikiPageWikiLink Compass_and_straightedge_construction.
- Cissoid_of_Diocles wikiPageWikiLink Conchoid_of_de_Sluze.
- Cissoid_of_Diocles wikiPageWikiLink Cube.
- Cissoid_of_Diocles wikiPageWikiLink Cubic_plane_curve.
- Cissoid_of_Diocles wikiPageWikiLink Cusp_(singularity).
- Cissoid_of_Diocles wikiPageWikiLink Diocles_(mathematician).
- Cissoid_of_Diocles wikiPageWikiLink Doubling_the_cube.
- Cissoid_of_Diocles wikiPageWikiLink Existence.
- Cissoid_of_Diocles wikiPageWikiLink Geometry.
- Cissoid_of_Diocles wikiPageWikiLink Greek_language.
- Cissoid_of_Diocles wikiPageWikiLink Hedera.
- Cissoid_of_Diocles wikiPageWikiLink Hippocrates_of_Chios.
- Cissoid_of_Diocles wikiPageWikiLink Inverse_curve.
- Cissoid_of_Diocles wikiPageWikiLink Isaac_Newton.
- Cissoid_of_Diocles wikiPageWikiLink Ivy.
- Cissoid_of_Diocles wikiPageWikiLink Parabola.
- Cissoid_of_Diocles wikiPageWikiLink Pedal_curve.
- Cissoid_of_Diocles wikiPageWikiLink Proportionality_(mathematics).
- Cissoid_of_Diocles wikiPageWikiLink Ratio.
- Cissoid_of_Diocles wikiPageWikiLink Synthetic_geometry.
- Cissoid_of_Diocles wikiPageWikiLink Tractrix.
- Cissoid_of_Diocles wikiPageWikiLink Volume.
- Cissoid_of_Diocles wikiPageWikiLink Zenos_paradoxes.
- Cissoid_of_Diocles wikiPageWikiLink File:CissoidConstructionByNewton.svg.
- Cissoid_of_Diocles wikiPageWikiLink File:Cissoide2.svg.
- Cissoid_of_Diocles wikiPageWikiLink File:Cissoide_mecanique.svg.
- Cissoid_of_Diocles wikiPageWikiLink File:RouletteAnim2.gif.
- Cissoid_of_Diocles wikiPageWikiLinkText "Cissoid of Diocles".
- Cissoid_of_Diocles wikiPageWikiLinkText "cissoid of Diocles".
- Cissoid_of_Diocles hasPhotoCollection Cissoid_of_Diocles.
- Cissoid_of_Diocles title "Cissoid of Diocles".
- Cissoid_of_Diocles urlname "CissoidofDiocles".
- Cissoid_of_Diocles wikiPageUsesTemplate Template:Cite_book.
- Cissoid_of_Diocles wikiPageUsesTemplate Template:MathWorld.
- Cissoid_of_Diocles wikiPageUsesTemplate Template:Reflist.
- Cissoid_of_Diocles wikiPageUsesTemplate Template:Wikisource1911Enc.
- Cissoid_of_Diocles subject Category:Algebraic_curves.
- Cissoid_of_Diocles subject Category:Articles_containing_proofs.
- Cissoid_of_Diocles subject Category:Curves.
- Cissoid_of_Diocles hypernym Curve.
- Cissoid_of_Diocles type Album.
- Cissoid_of_Diocles type Proof.
- Cissoid_of_Diocles type Variety.
- Cissoid_of_Diocles comment "In geometry, the cissoid of Diocles is a cubic plane curve notable for the property that it can be used to construct two mean proportionals to a given ratio. In particular, it can be used to double a cube. It can be defined as the cissoid of a circle and a line tangent to it with respect to the point on the circle opposite to the point of tangency. In fact, the family of cissoids is named for this example and some authors refer to it simply as the cissoid.".
- Cissoid_of_Diocles label "Cissoid of Diocles".
- Cissoid_of_Diocles sameAs Cissoide_de_Diocles.
- Cissoid_of_Diocles sameAs Zissoide.
- Cissoid_of_Diocles sameAs Κισσοειδές_του_Διοκλή.
- Cissoid_of_Diocles sameAs Cisoide_de_Diocles.
- Cissoid_of_Diocles sameAs Dioklesen_zisoide.
- Cissoid_of_Diocles sameAs Cissoïde_de_Dioclès.
- Cissoid_of_Diocles sameAs Dioklész-féle_cisszoid.
- Cissoid_of_Diocles sameAs Cissoide_di_Diocle.
- Cissoid_of_Diocles sameAs シッソイド.
- Cissoid_of_Diocles sameAs Cissoïde_van_Diocles.
- Cissoid_of_Diocles sameAs Cisoida_Dioklesa.
- Cissoid_of_Diocles sameAs Cissòida_ëd_Diòcle.
- Cissoid_of_Diocles sameAs Cissoide_de_Diocles.
- Cissoid_of_Diocles sameAs m.03d_dv.
- Cissoid_of_Diocles sameAs Циссоида_Диокла.
- Cissoid_of_Diocles sameAs Dioklesova_cisoida.
- Cissoid_of_Diocles sameAs Q206079.
- Cissoid_of_Diocles sameAs Q206079.
- Cissoid_of_Diocles sameAs 蔓叶线.
- Cissoid_of_Diocles wasDerivedFrom Cissoid_of_Diocles?oldid=611543361.
- Cissoid_of_Diocles depiction Cissoide2.svg.
- Cissoid_of_Diocles isPrimaryTopicOf Cissoid_of_Diocles.