These are terms used in Geometry. Please answer and explain.
2006-06-15 00:20:28 · 8 answers · asked by Cheska 1 in Science & Mathematics ➔ Mathematics
To the best of my knowledge.The point is a well defined mark. It can be located anywhere in space and its position can be specified excatly wrt some co ordinate system. So it is not undefined.
However the other 2 elements have one thing in common and that is we cannot specify the dimensions of any of them. In other words each of them can be extended to infinite dimensions.
2006-06-15 00:27:33 · answer #1 · answered by kaustavsrkr 2 · 0⤊ 0⤋
These are the basic elements of geometry. Like "number" is to algebra. You can't quite explain what a "point" is without using a frame of reference, but there is no frame of reference.
Just for curiosity's sake, I decided to re-write geometry and make "dimension" an undefined term. I then was able to define line and plane, but not point [line = set of all points in one dimension; plane = set of all points in two dimensions; but these refer to set theory]. I defined point as "the physical representation of a number." But that refers to algebra. NOT TO CONFUSE YOU, these are my ramblings and are not accepted by anybody but me.
They are undefined because they, along with the axioms, are the simplest elements or building blocks of the rest of geometry.
2006-06-15 11:00:54 · answer #2 · answered by bequalming 5 · 0⤊ 0⤋
A point is infintly small
A line is infintly long
A plane is infinate in area.
Any object having an infinte dimension is defined ad "undefined"
2006-06-15 08:53:09 · answer #3 · answered by hackmaster_sk 3 · 0⤊ 0⤋
1.Point is infinitesimal that is has no size.
2.Line has infinite length and has no thickness
3.The plane has an infinite surface.
Anything that either infinitesimally small (a reciprocal of infinitely large) or infinitely large is undefined.
2006-06-15 08:05:25 · answer #4 · answered by Edward 7 · 0⤊ 0⤋
they are undefined coz' there is no concrete meaning on those terms....
They have no definite length, width, height or thickness....
Line extends infinity on both directions....
Plane extends infinity in four sides, up, down.left and right...
2006-06-15 07:25:12 · answer #5 · answered by sweet_candy 2 · 0⤊ 0⤋
becuz they extend 2 an undefined point.
2006-06-15 07:24:40 · answer #6 · answered by watshername 3 · 0⤊ 0⤋
bcoz it's not defined ^_^
2006-06-15 07:28:35 · answer #7 · answered by blaise0402 1 · 0⤊ 0⤋
because you can't find an answer to it!!!!!!!!!!!!!!!
2006-06-15 07:21:57 · answer #8 · answered by Anonymous · 0⤊ 0⤋