Definition of Cissoid. Meaning of Cissoid. Synonyms of Cissoid

Here you will find one or more explanations in English for the word Cissoid. Also in the bottom left of the page several parts of wikipedia pages related to the word Cissoid and, of course, Cissoid synonyms and on the right images related to the word Cissoid.

Definition of Cissoid

Cissoid
Cissoid Cis"soid, n. [Gr. ? like ivy; ? ivy + ? 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 two given straight lines.

Meaning of Cissoid from wikipedia

- 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...
- 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 p****ing through O and intersecting...
- hyperbola Cubic plane curves include Cubic parabola Folium of Descartes Cissoid of Diocles Conchoid of de Sluze Right strophoid Semicubical parabola Serpentine...
- parabola which describes the roulette (red). In this case the roulette is the cissoid of Diocles. In the case where the rolling curve is a line and the generator...
- which are d from A are on the conchoid. The conchoid is, therefore, the cissoid of the given curve and a circle of radius d and center O. They are called...
- Other more complicated methods of doubling the cube involve neusis, the cissoid of Diocles, the conchoid of Nicomedes, or the Philo line. Pandrosion, a...
- the parabola. His name is ****ociated with the geometric curve called the Cissoid of Diocles, which was used by Diocles to solve the problem of doubling...
- Ellipse Parabola Hyperbola Cubic curve Cubic polynomial Folium of Descartes Cissoid of Diocles Conchoid of de Sluze Cubic with double point Strophoid Semicubical...
- include: The conic sections, studied in depth by Apollonius of Perga The cissoid of Diocles, studied by Diocles and used as a method to double the cube...
- and (without details) claims that the same method extends as well to the cissoid of Diocles. Fermat writes that the curve was suggested to him "ab erudito...
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