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Cissoid

In geometry, a cissoid (/ˈsɪsɔɪd/; from Ancient Greek κισσοειδής (kissoeidēs) 'ivy-shaped') is a plane curve generated from two given curves C1, C2 and a point O (the pole). Let L be a variable line passing through O and intersecting C1 at P1 and C2 at P2. Let P be the point on L so that O P ¯ = P 1 P 2 ¯ . {\displaystyle {\overline {OP}}={\overline…

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Map overview Semantic statistics

Cissoid

Nodes19
Edges18
Triples35
Avg. degree1.89
Density0.105263
Components1

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Cissoid

Top relations

related to Hyperbolas · 10
Cissoid → By, C1, C2, Cartesian, Combining, Let, Let C1, So, Then, This
related to Equations · 9
Cissoid → C1, C2, For, However, If C1, It, So, Specifically, The
related to External links · 7
Cissoid → Curves, EMS Press, Encyclopedia, Eric, Mathematics, MathWorld, Weisstein
related to Cissoids of Zahradnik · 6
Cissoid → Karel Zahradnik, Maclaurin, Specifically, The Trisectrix, This, Zahradnik
related to Specific cases · 2
Cissoid → C2, When C1
is a · 1
Cissoid → third line parallel to the given lines.HyperbolasLet C1 and C2 be two non-parallel lines and let O be the origin

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Important terminology

displaystyle c1 c2 given relative origin line curves point theta cos frac two defined curve p1 p2 ellipse circle may

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Cissoidis athird line parallel to the given lines.HyperbolasLet C1 and C2 be two non-parallel lines and let O be the origin0.90text
Cissoidrelated to Cissoids of ZahradnikZahradnik0.60section
Cissoidrelated to Cissoids of ZahradnikKarel Zahradnik0.60section
Cissoidrelated to Cissoids of ZahradnikThis0.60section
Cissoidrelated to Cissoids of ZahradnikSpecifically0.60section
Cissoidrelated to Cissoids of ZahradnikThe Trisectrix0.60section
Cissoidrelated to Cissoids of ZahradnikMaclaurin0.60section
Cissoidrelated to EquationsIf C10.60section
Cissoidrelated to EquationsC20.60section
Cissoidrelated to EquationsC10.60section
Cissoidrelated to EquationsHowever0.60section
Cissoidrelated to EquationsSpecifically0.60section

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    Min side: 3
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