Geometry

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# The set of all points collinear to two points is a?

###### Wiki User

###### 2009-07-22 04:21:18

By definition, the word "collinear" means that the points lie in

a **LINE**. The precise manner of line you are talking about

depends upon the geometric frame of reference you are using. For

example, in Euclidean geometry a line defined by two points is

usually taken to be "straight" like the intersection of two planes;

but in Global geometry such as the reality of the Earth's surface,

a line defined by two points is curved. If you fly from New York to

Tokyo, your line of flight is nearly a semicircle; we do not have

the technology to travel "straight" from New York to Tokyo through

the Earth's core.

## Related Questions

###### Asked in Math and Arithmetic, Geometry

### Does collinear have three points?

Collinear means in the same straight line. And since a line
consists of an infinite number of points, collinear has an infinite
number of points - not just 3.
n the other hand, while any two points must be collinear (they
have to both be on the line that joins them), it is always possible
to find a third point which is not collinear with the first two
(Euclid).

###### Asked in History, Politics & Society, Math and Arithmetic, Geometry

### How do you draw a non-collinear point?

"Collinear" means "lie on the same straight line".
So a single point can't be collinear or non-collinear,
because there's nothing for it
to be the "same" as.
Two points are always collinear, because you can
always draw one straight line
between two points.
When you get to three points, then there's a question.
Any two of them make
a straight line, and then the third one may or may not lie on
the same line. If it
does, then the three points are collinear. If it doesn't, then
they're not.

###### Asked in Math and Arithmetic, Algebra, Geometry

### Do three linear points make a triangle?

I think the question you mean to ask is, "Do three collinear
points make a triangle?" Linear is simply the adjective form of
"line", "collinear" is used to describe points that lie on the same
line. (Two points not only can be collinear, but always are, so it
makes little sense to describe them as such).
Collinear points cannot make a triangle, a triangle requires three
noncollinear points.