cissoid of diocles

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• Cissoid of Diocles — construction 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… …   Wikipedia

• Diocles (mathematician) — Diocles (Διοκλῆς in Ancient Greek, ca. 240 BC – ca. 180 BC) was a Greek mathematician and geometer. Life and work Although little is known about the life of Diocles, it is known that he was a contemporary of Apollonius and that he flourished… …   Wikipedia

• Cissoid — In geometry, a cissoid is a 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 OP = P1P2. (There are actually… …   Wikipedia

• Cissoid — Cis soid, n. [Gr. ? like ivy; ? ivy + e i^dos form.] (Geom.) A curve invented by Diocles, for the purpose of solving two celebrated problems of the higher geometry; viz., to trisect a plane angle, and to construct two geometrical means between… …   The Collaborative International Dictionary of English

• Cisoide de Diocles — (línea roja). El segmento OA es igual a OC menos OB. La cisoide de Diocles es la cisoide generada por el vector posición de una recta paralela al eje OY (Curva 1), que pasa por el punto (2a,0), al que se le resta el radio vector de una… …   Wikipedia Español

• Zissoide — Die Zissoide (genauer: Zissoide des Diokles) ist eine spezielle Kurve 3. Ordnung, die von dem griechischen Mathematiker Diokles (um 200 v. Chr.) beschrieben wurde, um mit diesem Hilfsmittel das Problem der Würfelverdoppelung (auch als delisches… …   Deutsch Wikipedia

• Roulette (curve) — [ |right|thumb|250px|Construction of a roulette: specifically, a cissoid of Diocles.] In the differential geometry of curves, a roulette is a kind of curve, generalizing cycloids, epicycloids, hypocycloids, and involutes. Roughly speaking, it is… …   Wikipedia

• List of curves — This is a list of curves, by Wikipedia page. See also list of curve topics, list of surfaces, Riemann surface. Algebraic curves*Cubic plane curve *Quartic plane curve *Quintic plane curve *Sextic plane curveRational curves*Ampersand curve… …   Wikipedia

• List of mathematics articles (C) — NOTOC C C closed subgroup C minimal theory C normal subgroup C number C semiring C space C symmetry C* algebra C0 semigroup CA group Cabal (set theory) Cabibbo Kobayashi Maskawa matrix Cabinet projection Cable knot Cabri Geometry Cabtaxi number… …   Wikipedia

• Curve — For other uses, see Curve (disambiguation). A parabola, a simple example of a curve In mathematics, a curve (also called a curved line in older texts) is, generally speaking, an object similar to a line but which is not required to be straight.… …   Wikipedia

• Doubling the cube — (also known as the Delian problem) is one of the three most famous geometric problems unsolvable by compass and straightedge construction. It was known to the Egyptians, Greeks, and Indians.[1] To double the cube means to be given a cube of some… …   Wikipedia