## 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.

Read more about Curve.

### Some articles on curve:

**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 ...

... 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 ...

**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 ...

**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

- (
*noun*): A baseball thrown with spin so that its path curves as it approach the batter.

Synonyms: curve ball, breaking ball, bender

- (
*verb*): Turn sharply; change direction abruptly.

Synonyms: swerve, sheer, trend, veer, slue, slew, cut

- (
*verb*): Bend or cause to bend.

Synonyms: crook

- (
*noun*): A line on a graph representing data.

### 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)