What is the mathematical definition of a line?
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What is the mathematical definition of a line?

[From: ] [author: ] [Date: 14-01-15] [Hit: ]
One definition is that a line is the shortest distance between two points.A Line is an uni dimensional one either in plane or space and passing through 2 points. It has zero width.Line: An infinite collection of points,with length but no width.Usually referring to a straight line,......
The line is undefined

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A long thin mark made by a pen, pencil, etc.

In geometry a line:

· is straight (no curves),
· has no thickness, and
· extends in both directions without end (infinitely).

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To be a line, a geometric shape must:

1) be straight (no curves or angles)
2) have no thickness (1 dimensional)
3) be infinite (no stops or ends)

A line with one end is a ray, while a line with two ends is a line segment.

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Like a point (that exists but can't be seen or drawn on paper as it has no dimensions) a line is also a Mathematical concept only (that merely exists with no thickness but length).

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One definition is that a line is the shortest distance between two points.

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A Line is an uni dimensional one either in plane or space and passing through 2 points. It has zero width.

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Line: An infinite collection of points,with length but no width.Usually referring to a straight line,a line can also be curved.

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In geometry a line is a primitive. It has no definition.

There are postulates that describe its properties and their are theorems that add to its list of properties; but a line itself is not defined.
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