Definition of Conchoid

1. n. A curve, of the fourth degree, first made use of by the Greek geometer, Nicomedes, who invented it for the purpose of trisecting an angle and duplicating the cube.



Definition of Conchoid

1. Noun. (mathematics) Any of a family of curves defined as a locus of a point having a specific relationship with another point, a curve and a line. ¹

¹ Source: wiktionary.com

Definition of Conchoid

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

Lexicographical Neighbors of Conchoid

conchfish
conchie
conchies
conchifer
conchiferous
conchiform
conchifragous
conchiglie
conching
conchinine
conchiolin
conchite
conchites
conchitic
concho
conchoid (current term)
conchoidal
conchoidal bodies
conchoidally
conchoids
conchological
conchologies
conchologist
conchologists
conchology
conchometry
conchos
conchospiral
conchospirals
conchs

Literary usage of Conchoid

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

1. A History of Greek Mathematics by Thomas Little Heath (1921)
"'The conchoid of Nicomedes is next described (chaps. 26-7), and it is shown (chaps. 28, 29) how it can be used to find two geometric means between two ..."

2. An Elementary Treatise on the Differential Calculus: Containing the Theory by Benjamin Williamson (1899)
"Centre of Curvature for a conchoid. — Let A It is easily seen that the circle ... Hence, to find the centre of curvature of the conchoid, described by the ..."

3. An Elementary Course in Analytic Geometry by John Henry Tanner, Joseph Allen (1898)
"The fixed point A is called the pole, the constant parameter a the modulus, and the fixed line OX the directrix of the conchoid. * The conchoid was invented ..."

4. An Elementary Treatise on the Differential Calculus: Containing the Theory by Benjamin Williamson (1899)
"Centre of Curvature for a conchoid.—Let A be the pole, ... Hence, to find the centre of curvature of the conchoid described by the moving point PI, ..."

5. Geometrical Analysis, and Geometry of Curve Lines: Being Volume Second of a by John Leslie (1821)
"conchoid. If, through a given point, a straight line be drawn to a line given in position, making on either side a given segment; the locus of the point of ..."

6. Elements of Analytic Geometry by George Albert Wentworth (1888)
"The conchoid of Nicomedes. The conchoid is the locus of a point P such that ... To construct the conchoid by points, through A draw any line AP cutting XX' ..."

7. An Elementary Treatise on the Differential Calculus Founded on the Method of by John Minot Rice, William Woolsey Johnson (1877)
"Construct the conchoid of which A is the pole, BC the directrix, ... Find, from the equation of the conchoid, the tangents at the origin, ..."

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