The difference between Arc and Curve
When used as nouns, arc means that part of a circle which a heavenly body appears to pass through as it moves above and below the horizon, whereas curve means a gentle bend, such as in a road.
When used as verbs, arc means to move following a curved path, whereas curve means to bend.
Curve is also adjective with the meaning: bent without angles.
check bellow for the other definitions of Arc and Curve
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Arc as a noun (astronomy):
That part of a circle which a heavenly body appears to pass through as it moves above and below the horizon.
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Arc as a noun (geometry):
A continuous part of the circumference of a circle (circular arc) or of another curve.
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Arc as a noun:
A curve, in general.
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Arc as a noun:
A band contained within parallel curves, or something of that shape.
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Arc as a noun (electrics):
A flow of current across an insulating medium; especially a hot, luminous discharge between either two electrodes or as lightning.
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Arc as a noun:
A story arc.
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Arc as a noun (mathematics):
A continuous mapping from a real interval (typically [0, 1]) into a space.
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Arc as a noun (graph theory):
A directed edge.
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Arc as a noun (basketball, slang):
The three-point line.
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Arc as a verb (ambitransitive):
To move following a curved path.
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Arc as a verb (transitive):
To shape into an arc; to hold in the form of an arc.
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Arc as a verb (intransitive):
To form an electrical arc.
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Curve as an adjective (obsolete):
Bent without angles; crooked; curved.
Examples:
"a curve [[line]]"
"a curve [[surface]]"
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Curve as a noun:
A gentle bend, such as in a road.
Examples:
"You should slow down when approaching a curve."
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Curve as a noun:
A simple figure containing no straight portions and no angles; a curved line.
Examples:
"She scribbled a curve on the paper."
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Curve as a noun:
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.
Examples:
"The teacher was nice and graded the test on a curve."
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Curve as a noun (analytic geometry):
A continuous map from a one-dimensional space to a multidimensional space.
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Curve as a noun (geometry):
A one-dimensional figure of non-zero length; the graph of a continuous map from a one-dimensional space.
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Curve as a noun (algebraic geometry):
An algebraic curve; a polynomial relation of the planar coordinates.
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Curve as a noun (topology):
A one-dimensional continuum.
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Curve as a noun (informal, usually, in the plural):
The attractive shape of a woman's body.
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Curve as a verb (transitive):
To bend; to crook.
Examples:
"to curve a line"
"to curve a pipe"
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Curve as a verb (transitive):
To cause to swerve from a straight course.
Examples:
"to curve a ball in pitching it"
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Curve as a verb (intransitive):
To bend or turn gradually from a given direction.
Examples:
"the road curves to the right"
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Curve as a verb:
To grade on a curve (bell curve of a normal distribution).
Examples:
"The teacher will curve the test."
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Curve as a verb (slang):
To reject, to turn down romantic advances