## abdul_shabeer 3 years ago What is a plane?

1. abdul_shabeer

Is it composed of many points?

2. abdul_shabeer

In Mathematics

3. lgbasallote

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

4. lgbasallote

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

5. abdul_shabeer

Is plane composed of points?

6. lgbasallote

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

7. lgbasallote

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

8. abdul_shabeer

A plane has area?

9. lgbasallote

area, perimeter, length, width, etc.

10. abdul_shabeer

Which means a point has area...

11. lgbasallote

uhh no....

12. abdul_shabeer

Then how does a plane have area?

13. lgbasallote

do you know what "area" is?

14. abdul_shabeer

space occupied?

15. lgbasallote

that's volume

16. lgbasallote

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

17. lgbasallote

a point is NOT a closed figure

18. abdul_shabeer

Then how does collection of points make a plane?

19. lgbasallote

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

20. abdul_shabeer

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

21. lgbasallote

yes..now you got it

22. abdul_shabeer

That's not my doubt..

23. abdul_shabeer

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

24. lgbasallote

no

25. jreem

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.

26. abdul_shabeer

Why?

27. lgbasallote

area only happens to two-dimensional figures

28. lgbasallote

area = length x width <==two dimensions

29. lgbasallote

a point is dimensionless

30. abdul_shabeer

Then why does a plane have area?

31. lgbasallote

because a plane is two dimensional

32. Chlorophyll

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

33. abdul_shabeer

How can we make two dimension from zero dimension?

34. lgbasallote

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

35. lgbasallote

@abdul_shabeer can you not make 1 out of 0?

36. lgbasallote

or 2 out of 0

37. lgbasallote

all you have to do is add

38. jreem

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

39. abdul_shabeer

@jreem What is that distance composed of?

40. jreem

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

41. 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.