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What is a plane in maths?

Updated: 10/25/2022
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14y ago

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A plane is a flat surface defined by two lines, or by a line and a point not on the line.

A plane can be envisioned as an infinitely-large square sheet of paper that is perfectly flat and with no thickness whatsoever. However, curved planes can exist in higher forms of geometry.

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A plane is an infinite span in two dimensions. It is infinitely long and infinitely wide, but has no thickness. An approximation of a plane is a computer monitor. The Mouse, letters, and images interact, but only in two dimensions (up/down and sideways, where a diagonal can be expressed as a combination of up/down and sideways). Things on a monitor cannot be "in front" or "behind" one another, but merely drawn to give the impression they are.

The most common plane is the x,y Cartesian coördinate plane.

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