# What is curve?

• (noun): The property possessed by the curving of a line or surface.
Synonyms: curvature

## Curve

In mathematics, a curve (also called a curved line in older texts) is, generally speaking, an object similar to a line but which is not required to be straight. This entails that a line is a special case of curve, namely a curve with null curvature. Often curves in two-dimensional (plane curves) or three-dimensional (space curves) Euclidean space are of interest.

### Some articles on curve:

Algebraic Curve
... Algebraic curves are the curves considered in algebraic geometry ... A plane algebraic curve is the locus of the points of coordinates x, y such that f(x, y) = 0, where f is a polynomial in two variables defined over some field F ... If C is a curve defined by a polynomial f with coefficients in F, the curve is said defined over F ...
Envelope Theorem
... A curve in a two dimensional space is best represented by the parametric equations like x(c) and y(c) ... The family of curves can be represented in the form where c is the parameter ... The envelope of a family of curves g(x,y,c) = 0 is a curve such that at each point on the curve there is some member of the family that touches that particular point tangentially ...
Curve Lake First Nation 35, Ontario
... Curve Lake is the name of two Ojibwe Indian reserves 14 km north of Peterborough, Ontario ... They serve as the landbase for the Curve Lake First Nation ... Officially they are known as Curve Lake First Nation No ...
Parallel Curve
... A parallel of a curve is the envelope of a family of congruent circles centered on the curve ... It can also be defined as a curve whose points are at a fixed normal distance of a given curve ... It is sometimes called the offset curve but the term "offset" often refers also to translation ...
Elliptic Curve Diffie–Hellman
... Elliptic curve Diffie–Hellman (ECDH) is an anonymous key agreement protocol that allows two parties, each having an elliptic curve public-private key ... protocol using elliptic curve cryptography ...

### More definitions of "curve":

• (noun): The trace of a point whose direction of motion changes.
Synonyms: curved shape
• (verb): Extend in curves and turns.
Synonyms: wind
• (noun): Curved segment (of a road or river or railroad track etc.).
Synonyms: bend
• (verb): Form an arch or curve.
Example: "Her hips curve nicely"
Synonyms: arch, arc
• (verb): Bend or cause to bend.
Synonyms: crook
• (noun): A line on a graph representing data.
• (verb): Form a curl, curve, or kink.
Synonyms: curl, kink

### Famous quotes containing the word curve:

I have been photographing our toilet, that glossy enameled receptacle of extraordinary beauty.... Here was every sensuous curve of the “human figure divine” but minus the imperfections. Never did the Greeks reach a more significant consummation to their culture, and it somehow reminded me, in the glory of its chaste convulsions and in its swelling, sweeping, forward movement of finely progressing contours, of the Victory of Samothrace.
Edward Weston (1886–1958)

The years-heired feature that can
In curve and voice and eye
Despise the human span
Of durance—that is I;
The eternal thing in man,
That heeds no call to die.
Thomas Hardy (1840–1928)

Nothing ever prepares a couple for having a baby, especially the first one. And even baby number two or three, the surprises and challenges, the cosmic curve balls, keep on coming. We can’t believe how much children change everything—the time we rise and the time we go to bed; the way we fight and the way we get along. Even when, and if, we make love.
Susan Lapinski (20th century)