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Is it composed of many points?
here's an example of a plane |dw:1347602928018:dw|
here's another one that im sure you're familiar of |dw:1347602961138:dw| what do you notice?
Is plane composed of points?
yes...in a sense...it is
however, the more exact way of defining it is that it is composed of lines
A plane has area?
area, perimeter, length, width, etc.
Which means a point has area...
Then how does a plane have area?
do you know what "area" is?
|dw:1347603254688:dw| that is the area...it is the amount of space *covered* by a *closed figure*
a point is NOT a closed figure
Then how does collection of points make a plane?
collection of points => line collection of lines => plane
Line is collection of points, therefore a plane is a collection of points.
yes..now you got it
That's not my doubt..
A plane is collection of lines or points and a plane has area. Which means a point should have area.
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.
area only happens to two-dimensional figures
area = length x width <==two dimensions
a point is dimensionless
Then why does a plane have area?
because a plane is two dimensional
A plane is made up from at least 2 crossed lines!
How can we make two dimension from zero dimension?
plane = two-dimensional area = two-dimensional therefore... plane has area point = 0 dimenison area = two dimension therefore...point does NOT have area
@abdul_shabeer can you not make 1 out of 0?
or 2 out of 0
all you have to do is add
Any two points, both dimension 0, have a distance between them, which is dimension 1. Extrapolate to higher dimensions.
@jreem What is that distance composed of?
Points. An infinity of them. That's how we can add zero's and get to a non-zero number.
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.