# Curve vs. Arch — What's the Difference?

## Difference Between Curve and Arch

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## Definitions

#### Curve➦

In mathematics, a curve (also called a curved line in older texts) is an object similar to a line, but that does not have to be straight. Intuitively, a curve may be thought of as the trace left by a moving point.

#### Arch➦

An arch is a vertical curved structure that spans an elevated space and may or may not support the weight above it, or in case of a horizontal arch like an arch dam, the hydrostatic pressure against it. Arches may be synonymous with vaults, but a vault may be distinguished as a continuous arch forming a roof.

#### Curve➦

A line that deviates from straightness in a smooth, continuous fashion.

#### Arch➦

A usually curved structure forming the upper edge of an open space and supporting the weight above it, as in a bridge or doorway.

#### Curve➦

A surface that deviates from planarity in a smooth, continuous fashion.

#### Arch➦

A structure, such as a freestanding monument, shaped like an inverted U.

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#### Curve➦

Something characterized by such a line or surface, especially a rounded line or contour of the human body.

#### Arch➦

A curve with the ends down and the middle up:the arch of a raised eyebrow.

#### Curve➦

A relatively smooth bend in a road or other course.

#### Arch➦

(Anatomy)An organ or structure having a curved or bowlike appearance, especially either of two arched sections of the bony structure of the foot.

#### Curve➦

A line representing data on a graph.

#### Arch➦

To provide with an arch:arch a passageway.

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#### Curve➦

A trend derived from or as if from such a graph

"Once again, the politicians are behind the curve" (Ted Kennedy).

#### Arch➦

To cause to form an arch or similar curve.

#### Curve➦

A graphic representation showing the relative performance of individuals as measured against each other, used especially as a method of grading students in which the assignment of grades is based on predetermined proportions of students.

#### Arch➦

To bend backward:The dancers alternately arched and hunched their backs.

#### Curve➦

The graph of a function on a coordinate plane.

#### Arch➦

To span:"the rude bridge that arched the flood"(Ralph Waldo Emerson).

#### Curve➦

The intersection of two surfaces in three dimensions.

#### Arch➦

To form an arch or archlike curve:The high fly ball arched toward the stands.

#### Curve➦

The graph of the solutions to any equation of two variables.

#### Arch➦

Chief; principal

Their arch foe.

#### Curve➦

(Baseball) A curve ball.

#### Arch➦

Mischievous; roguish

"She ... was arch enough to inform the queen whenever I committed any folly that she thought would be diverting to her majesty" (Jonathan Swift).

#### Curve➦

(Slang) Something that is unexpected or designed to trick or deceive.

#### Arch➦

Teasing, ironic, or sardonic

"I know, Edy Boardman said none too amiably with an arch glance from her shortsighted eyes. I know who is Tommy's sweetheart" (James Joyce).

#### Curve➦

To move in or take the shape of a curve

The path curves around the lake.

#### Arch➦

An inverted U shape.

#### Curve➦

To cause to curve.

#### Arch➦

An arch-shaped arrangement of trapezoidal stones, designed to redistribute downward force outward.

#### Curve➦

(Baseball) To pitch (a ball) with a curve.

#### Arch➦

(architecture) An architectural element having the shape of an arch

#### Curve➦

To grade (students, for example) on a curve.

#### Arch➦

Any place covered by an arch; an archway.

To pass into the arch of a bridge

#### Curve➦

(obsolete) Bent without angles; crooked; curved. Category:en:Curves

A curve line

A curve surface

#### Arch➦

An arc; a part of a curve.

#### Curve➦

A gentle bend, such as in a road.

You should slow down when approaching a curve.

#### Arch➦

A natural arch-shaped opening in a rock mass.

#### Curve➦

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

She scribbled a curve on the paper.

#### Arch➦

(anatomy) Curved part of the bottom of a foot.

#### Curve➦

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.

The teacher was nice and graded the test on a curve.

#### Arch➦

(obsolete) chief

#### Curve➦

(analytic geometry) A continuous map from a one-dimensional space to a multidimensional space.

#### Arch➦

To form into an arch shape.

The cat arched its back

#### Curve➦

(geometry) A one-dimensional figure of non-zero length; the graph of a continuous map from a one-dimensional space.

#### Arch➦

To cover with an arch or arches.

#### Curve➦

(algebraic geometry) An algebraic curve; a polynomial relation of the planar coordinates.

#### Arch➦

Knowing, clever, mischievous

I attempted to hide my emotions, but an arch remark escaped my lips.

#### Curve➦

(topology) A one-dimensional continuum.

#### Arch➦

Principal; primary

They were arch enemies.

#### Curve➦

The attractive shape of a woman's body.

#### Arch➦

Any part of a curved line.

#### Curve➦

(transitive) To bend; to crook.

To curve a line

To curve a pipe

#### Arch➦

Usually a curved member made up of separate wedge-shaped solids, with the joints between them disposed in the direction of the radii of the curve; used to support the wall or other weight above an opening. In this sense arches are segmental, round (i. e., semicircular), or pointed.

#### Curve➦

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

To curve a ball in pitching it

#### Arch➦

Any place covered by an arch; an archway; as, to pass into the arch of a bridge.

#### Curve➦

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

The road curves to the right

#### Arch➦

Any curvature in the form of an arch; as, the arch of the aorta.

#### Curve➦

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

The teacher will curve the test.

#### Arch➦

A chief.

My worthy arch and patron comes to-night.

#### Curve➦

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

I was once curved three times by the same woman.

#### Arch➦

To cover with an arch or arches.

#### Curve➦

Bent without angles; crooked; curved; as, a curve line; a curve surface.

#### Arch➦

To form or bend into the shape of an arch.

The horse arched his neck.

#### Curve➦

A bending without angles; that which is bent; a flexure; as, a curve in a railway or canal.

#### Arch➦

To form into an arch; to curve.

#### Curve➦

A line described according to some low, and having no finite portion of it a straight line.

#### Arch➦

Chief; eminent; greatest; principal.

The most arch act of piteous massacre.

#### Curve➦

To bend; to crook; as, to curve a line; to curve a pipe; to cause to swerve from a straight course; as, to curve a ball in pitching it.

#### Arch➦

Cunning or sly; sportively mischievous; roguish; as, an arch look, word, lad.

[He] spoke his request with so arch a leer.

#### Curve➦

To bend or turn gradually from a given direction; as, the road curves to the right.

#### Arch➦

A curved shape in the vertical plane that spans an opening

#### Curve➦

The trace of a point whose direction of motion changes

#### Arch➦

A curved bony structure supporting or enclosing organs (especially arches of the feet)

#### Curve➦

A line on a graph representing data

#### Arch➦

A passageway under an arch

#### Curve➦

A baseball thrown with spin so that its path curves as it approach the batter

#### Arch➦

(architecture) a masonry construction (usually curved) for spanning an opening and supporting the weight above it

#### Curve➦

The property possessed by the curving of a line or surface

#### Arch➦

Form an arch or curve;

Her back arches

Her hips curve nicely

#### Curve➦

Curved segment (of a road or river or railroad track etc.)

#### Arch➦

(of persons) highest in rank or authority or office;

His arch rival

#### Curve➦

Turn sharply; change direction abruptly;

The car cut to the left at the intersection

The motorbike veered to the right

#### Arch➦

(used of behavior or attitude) characteristic of those who treat others with condescension

#### Curve➦

Extend in curves and turns;

The road winds around the lake

#### Arch➦

Expert in skulduggery;

An arch criminal

#### Curve➦

Form an arch or curve;

Her back arches

Her hips curve nicely

#### Curve➦

Bend or cause to bend;

He crooked his index finger

The road curved sharply

#### Curve➦

Form a curl, curve, or kink;

The cigar smoke curled up at the ceiling