Definition of Cissoid

1. n. 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.

Definition of Cissoid

1. Noun. (geometry) A kind of curve that can be used in trisecting a plane angle and in constructing two geometrical means between two given straight lines. ¹

¹ Source:

Definition of Cissoid

1. a type of geometric curve [n -S]

Lexicographical Neighbors of Cissoid

cissoid (current term)
cistern of chiasm
cistern of cytoplasmic reticulum
cistern of great cerebral vein
cistern of great vein of cerebrum

Literary usage of Cissoid

Below you will find example usage of this term as found in modern and/or classical literature:

1. Famous Problems of Elementary Geometry: The Duplication of the Cube, the by Félix Klein (1897)
"12. the above-mentioned problems, higher curves constructed for this very pur-, pose. We shall mention here only the cissoid and the Conchoid. ..."

2. Analytic Geometry for Colleges, Universities, and Technical Schools by Edward West Nichols (1892)
"7b duplicate the cube by t /if aid of the cissoid. Let OL, Fig. ... Lay off CD = 2CA = 2 a and draw DT intersecting the cissoid in B; draw BO and at L erect ..."

3. An Elementary Treatise on Cubic and Quartic Curves by Alfred Barnard Basset (1901)
"The cissoid is the inverse of a parabola with respect to its vertex, ... It is, however, more usual to define the cissoid by the following construction. ..."

4. An Elementary Course in Analytic Geometry by John Henry Tanner, Joseph Allen (1898)
"The cissoid may be denned as follows : let ... The cissoid may also be employed to construct a line equal to the cube root of any given number (see Klein, ..."

5. Elements of the Differential and Integral Calculus by William Smyth (1859)
"cissoid of Diodes. This curve was invented by 'Diocles, a Greek geometer who lived about the sixth century of the Christian era. ..."

6. An Elementary Treatise on the Differential Calculus Founded on the Method of by John Minot Rice, William Woolsey Johnson (1880)
"The cissoid of Diodes. 150. Let A be a point on the circumference of a circle, and BC a tangent at the opposite extremity of the diameter AB\ let AC be any ..."

7. A Treatise on Infinitesimal Calculus: Containing Differential and Integral by Bartholomew Price (1857)
"+ b* " The hyperbola may be expressed by Other examples of the same kind will be found in the sequel. 194.] The cissoid of Diodes. Fig. 34. DEFINITION. ..."

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