2007-06-16 17:25:02 · 11 answers · asked by CPUcate 6 in Science & Mathematics ➔ Mathematics
Yes, but not in Euclidean or flat space. In spherical geometry, the circle is the equivalent of a line in Euclidean geometry. A line need not be defined, as mentioned above answer, as extending unbounded. A line can be alternatively defined as the shortest distance between two points.
2007-06-16 17:35:42 · answer #1 · answered by cscokid77 3 · 3⤊ 0⤋
Yes, it is. There are several ways to look at it. One way: take a small thin strip of paper, draw a straight parallel line from one end to the other. Now fold the paper in a such a manner that you get a circular figure. The line you drew is now a circle.
The other (scientific) way: The earth is a sphere, which is the equivalent of a circle in 3 dimensions. But the floor looks quite plain to you, doesn't it? There's no curve in it.. So imagine a circle soooo large, that it's radius is infinity. In that case, the curvature of the circle is zero, it will be a straight line.
2007-06-17 00:52:03 · answer #2 · answered by sloth 3 · 1⤊ 0⤋
No, a line is defined, mathematically as continuing in 2 directions for infinity. Such as y = x is a line and has nothing bounding it on either side if you look at the graph. However, a circle is a line segment, which is sorta bended into the form of a circle, and yes you can trace a circle for infinity because it never ends, but it is mathematically impossible to have a circle with a domain and or range that is infinite.
2007-06-17 00:31:46 · answer #3 · answered by Fred 2 · 2⤊ 1⤋
well it is a line, that never ends (like any other) but it is curved, so I guess not. I asked my geometry teacher this and he said no, but some of the worlds smartest people have been thinking outside of the box. so right on! become the next einstein.
= )
2007-06-17 02:01:08 · answer #4 · answered by andrea c 4 · 0⤊ 1⤋
No..mathematically, a line must go on forever into infinity. It can never come back to itself.
2007-06-17 02:18:43 · answer #5 · answered by Tim 2 · 0⤊ 1⤋
Yes.
2007-06-17 00:38:12 · answer #6 · answered by Helmut 7 · 1⤊ 0⤋
you cannot have a circle with a radius of infinity.
answer is not in this universe.
2007-06-17 00:59:59 · answer #7 · answered by eastacademic 7 · 0⤊ 1⤋
noo cirle cant be called a line
2007-06-17 01:22:20 · answer #8 · answered by sangeetha r 1 · 0⤊ 1⤋
it depends how big it is..if it's very big for example earth...it can be a linee
2007-06-17 00:28:10 · answer #9 · answered by Farida 2 · 0⤊ 2⤋
ANYTHING is possible...but you get a better grade for proving it.
2007-06-17 00:28:30 · answer #10 · answered by bin there dun that 6 · 0⤊ 2⤋