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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.

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.

- 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...

- 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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