why are point, line, and plane considered undefined terms?

Answer 1

Funny, they are defined in my dictionary. In fact, they are defined in my geometry textbook.

Answer 2

I don't think that they are "undefined", but I do know that are only conceptions in so much as they don't exist in reality. They are only mathematical terms in the sense that they can be defined - i.e. the shortest distance between two points is a straight line and so forth.

Answer 3

in case you meant their root definition then its authentic. meaning a factor (2,3) is defined completely while the observe 'factor' itself is infinitely precise for this reason no substitute definition holds. in geometry the definitions of things [infinitely sharp-no thickness-no radius basically the dot representing the coordinates] , strains [infinitely long, no thickness, no section ] , planes [countless stretch, no thickness ] are basically observe to observe definitions without mathematical words or jargon. this is because of the fact they're the user-friendly logics of geometry on which each thins else is built up on. The definitions in geometry are extra like this: if we ought to continuously define factors in a area interior the plane say xy, then we are saying, a factor (x , y) interior the area R interior the xy plane is an indoors factor of r if this is the middle of a disk that lies completely in R. boundary think approximately R is that factor on which each disk based will contain the two the factors interior the area and outdoors the area.

Answer 4

Hi. They are not located in 3 dimensional space. They are only explained using examples and descriptions, not positions

Answer 5

Because you need one or more than one equation to define them