What is a plane?

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- anonymous

What is a plane?

- chestercat

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- anonymous

Is it composed of many points?

- anonymous

In Mathematics

- lgbasallote

here's an example of a plane
|dw:1347602928018:dw|

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- lgbasallote

here's another one that im sure you're familiar of
|dw:1347602961138:dw|
what do you notice?

- anonymous

Is plane composed of points?

- lgbasallote

yes...in a sense...it is

- lgbasallote

however, the more exact way of defining it is that it is composed of lines

- anonymous

A plane has area?

- lgbasallote

area, perimeter, length, width, etc.

- anonymous

Which means a point has area...

- lgbasallote

uhh no....

- anonymous

Then how does a plane have area?

- lgbasallote

do you know what "area" is?

- anonymous

space occupied?

- lgbasallote

that's volume

- lgbasallote

|dw:1347603254688:dw|
that is the area...it is the amount of space *covered* by a *closed figure*

- lgbasallote

a point is NOT a closed figure

- anonymous

Then how does collection of points make a plane?

- lgbasallote

collection of points => line
collection of lines => plane

- anonymous

Line is collection of points, therefore a plane is a collection of points.

- lgbasallote

yes..now you got it

- anonymous

That's not my doubt..

- anonymous

A plane is collection of lines or points and a plane has area. Which means a point should have area.

- lgbasallote

no

- anonymous

A geometric object defined by three points not on the same line. Any more than three points and they do not necessarily define a plane.
A point has zero length and zero area.

- anonymous

Why?

- lgbasallote

area only happens to two-dimensional figures

- lgbasallote

area = length x width <==two dimensions

- lgbasallote

a point is dimensionless

- anonymous

Then why does a plane have area?

- lgbasallote

because a plane is two dimensional

- anonymous

A plane is made up from at least 2 crossed lines!

- anonymous

How can we make two dimension from zero dimension?

- lgbasallote

plane = two-dimensional
area = two-dimensional
therefore... plane has area
point = 0 dimenison
area = two dimension
therefore...point does NOT have area

- lgbasallote

@abdul_shabeer can you not make 1 out of 0?

- lgbasallote

or 2 out of 0

- lgbasallote

all you have to do is add

- anonymous

Any two points, both dimension 0, have a distance between them, which is dimension 1. Extrapolate to higher dimensions.

- anonymous

@jreem What is that distance composed of?

- anonymous

Points. An infinity of them. That's how we can add zero's and get to a non-zero number.

- Directrix

Plane is one of at least 3 *undefined* terms in Euclidean Geometry. Think of it as a flat surface extending infinitely far.
A plane has no length, width, perimeter, area or depth. It contains lines, points, rays, and so forth.

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