different between curve vs conchoid

English

Etymology

From Latin curvus (“bent, curved”). Doublet of curb.

Pronunciation

• (Received Pronunciation) IPA^(key): /k??v/, [?k???v]
• (General American) IPA^(key): /k?v/, [?k??v]
• Rhymes: -??(?)v

Adjective

curve

1. (obsolete) Bent without angles; crooked; curved.

Translations

Noun

curve (plural curves)

1. A gentle bend, such as in a road.

2. A simple figure containing no straight portions and no angles; a curved line.

3. A grading system based on the scale of performance of a group used to normalize a right-skewed grade distribution (with more lower scores) into a bell curve, so that more can receive higher grades, regardless of their actual knowledge of the subject.

4. (analytic geometry) A continuous map from a one-dimensional space to a multidimensional space.
5. (geometry) A one-dimensional figure of non-zero length; the graph of a continuous map from a one-dimensional space.
6. (algebraic geometry) An algebraic curve; a polynomial relation of the planar coordinates.
7. (topology) A one-dimensional continuum.
8. (informal, usually in the plural) The attractive shape of a woman's body.

Derived terms

Translations

Verb

curve (third-person singular simple present curves, present participle curving, simple past and past participle curved)

1. (transitive) To bend; to crook.

2. (transitive) To cause to swerve from a straight course.

3. (intransitive) To bend or turn gradually from a given direction.

4. (transitive) To grade on a curve (bell curve of a normal distribution).

5. (transitive) (slang) To reject, to turn down romantic advances.

Translations

Anagrams

• cruve

Dutch

Etymology

Borrowed from Latin curvus (“bent, curved”).

Pronunciation

• IPA^(key): /?k?r.v?/
• Hyphenation: cur?ve

Noun

curve f (plural curven or curves, diminutive curvetje n)

1. curve: curved line

   Synonym: kromme

Derived terms

Italian

Adjective

curve

1. feminine plural of curvo

Noun

curve f

1. plural of curva

Latin

Pronunciation

• (Classical) IPA^(key): /?kur.u?e/, [?k?ru??]
• (Ecclesiastical) IPA^(key): /?kur.ve/, [?kurv?]

Adjective

curve

1. vocative masculine singular of curvus

Portuguese

Verb

curve

1. first-person singular (eu) present subjunctive of curvar
2. third-person singular (ele and ela, also used with você and others) present subjunctive of curvar
3. third-person singular (você) affirmative imperative of curvar
4. third-person singular (você) negative imperative of curvar

Romanian

Pronunciation

• IPA^(key): [?kurve]

Noun

curve f

1. plural of curv?

Spanish

Pronunciation

• IPA^(key): /?ku?be/, [?ku?.??e]

Verb

curve

1. First-person singular (yo) present subjunctive form of curvar.
2. Formal second-person singular (usted) present subjunctive form of curvar.
3. Third-person singular (él, ella, also used with usted^?) present subjunctive form of curvar.

English

Etymology

From Latin concha (“mussel”) (from Ancient Greek ????? (kónkh?)) +? -oid or directly from Ancient Greek ?????????? (konkhoeid?s), referring to the curved outline of a mussel shell or anything in this form.

Noun

conchoid (plural conchoids)

1. (mathematics, geometry) Any of a family of curves defined as the locus of points p, such that each p is on a line that passes through a given fixed point P and intersects a given curve, C, and the distance from p to the point of intersection with C is a specified constant (note that for nontrivial cases two such points p satisfy the criteria, and the resultant curve has two parts).

   The conchoid of a circle with respect to a point on the circle is a cardioid if the fixed distance is equal to the diameter of the circle.

   The Conchoid of Nicomedes is the conchoid of a straight line with respect to a point not on the line.

   • 1815, Charles Hutton, Pappus, entry in A Philosophical and Mathematical Dictionary, Volume 2, page 147,

     He next treats of the properties of the Conchoid, which Nicomedes invented for doubling the cube; applying it to the solution of certain problems concerning Inclinations, with the finding of two mean proportionals, and cubes in any proportion whatever.
2. (geology) A conchoidal fracture in rock.
   • 1948, Tennessee Valley Authority, The Hiwassee Valley Projects, Technical Report, Issue 5, Volume 2, page 359,

     Conchoids of sound rock, from a few feet to 20 or more feet in diameter, entirely surrounded by comparatively thin layers of weathered material, were frequently encountered, sometimes in adjacent series.

Usage notes

The fixed point (P) of the construction may be referred to as the focus of the conchoid; it may also be defined as the origin (of a Cartesian coordinate system) or the pole (if polar coordinates are used), and potentially referred to accordingly. The curve C is an example of a directrix.

Derived terms

• conchoid of de Sluze (strictly a cissoid)
• conchoid of Dürer (not actually a conchoid)
• conchoid of Nicomedes

Related terms

• conchoidal

Translations

See also

• cardioid
• cissoid
• limaçon
• strophoid