Circle?

Why are circles round? I propose we should add a point onto a circle. Why do the angled shapes get to have points on them. I say the use of anything without points be banned immediately and the circle re-designed. Discuss. :slight_smile:

A circle does have points, lots of them. It’s defined as every point equidistant from a given point on a single plane.

what? Me feel like not understand.

:roll_eyes:

Alright, say you have a plane (an infinite two dimensional surface). Pick any point on it you like. Now, draw a line one unit in any direction away from that point, and mark a point at your new location. Repeat this process, drawing a one-unit long line from the original point in every single possible direction, and marking the points at the end of all those lines (infinite lines, to be exact). When you’re done, you’ll have a perfect circle (a unit circle, in fact). Every one of those lines is just a radius of that circle.

What im saying is if you were to be hit by a circle it wouldn’t stab you like a triangle would.

Oh, well, carry on then.

That rather depends on the radius - a very small radius circle could leave a nasty puncture wound if it hit you fast enough. Dreadful source of infection.

Also, as a planar object, a circle has a very sharp edge: if you think a paper cut is unpleasant, you won’t like being sliced up by a circle. Nor the side of a triangle, for that matter.

Al

yes, a circle is infintiely thin in the third dimension, and so will slice through you with the tiniest force.

Assuming it’s rigid and strong enough.

Because point is an undefined term in geometry, it takes up no space. A circle is nothing but the infinite amount of points equidistant from a given point in a single plane.

A sphere has the same definition but it’s the collection of infinite points equidistant from a given point in space instead of a plane.

I like geometry =P

So, like others have said, a circle has infinite points, making it have the most points. More points than any other single-plane shape.

yeah… what he said ^

lol, ive taken our schools highest geometry class, i understand everything lol.

If a circle is comprised of points and a point is undefined and measureless, when is the measureabilty of a circle born?

Mmmm, hell of a question Bruce.
I suspect the phrase ‘…sum of it’s parts…’ may feature in some of the answers.

So pretty soon, we could start arguing that there is not really any such thing as nothing, that zero isn’t really zero if you look closely enough, and that there is no such thing as empty calories.

I have to retract my initial reaction to this thread (even though I didn’t make it public). Tyler, great idea for a thinker thread. I think I may use this in my math class someday. I’m thinking maybe breaking up the class into cooperating groups, then use a take-off of Mr. Chambers post and pose the brainstorming question, “How can a circle be dangerous?” It would be interesting to see what happened and what the students came up with.

By the way, you know that a circle has two sides, right?

How can something with zero mass inflict damage? Force=mass*acceleration.

One more.

Awesome Youtube!

Could it inflict damage on something else of zero mass? You know, like pick on something its own size?

But what if you put that plane on a treadmill…?

photons have zero mass, but lasers can cut thick metal. F=ma only applies under certain circumtances.