/sci/ - Science & Math

Is the center everywhere is the question I am asking..... I hope this isn't a completely retarded question.

>>7483370
If you had that then you'd have two parallel lines.

>>7483370
The question is badly posed. Try again.

>>7483370

Literally what the fuck are you asking?

>>7483370
if you had a number line and it extends towards infinity, would it have a middle?

A circle by definition has a center.

>>7483449
0

>>7483370
No. You don't just set the radius equal to infinity like you can set it equal to 3,9 or 122. When infinity is involved, you need to use limits. You are setting r to approach infinity. Whatever is the origin in the beginning is still the origin.

>>7483370
>I hope this isn't a completely retarded question.
Not completely, but pretty close.

>>7483501
>what is a cline
The necessity for limits depends on what geometry you choose to work in.

>>7483370
>If you have a circle with a radius (and circumference) extending to infinity

>>7483370
Doesn't the radius start from the center.

>>7483370
>radius = length of line segment from center to circle
>will any given point within it become the center
do you even think?

(x-a)^2+(y-b)^2=r^2
even if you just replaced r with infinity instead of taking the limit like you're supposed to you would still have a circle centered at (a,b)

>>7483742
You're right. The origin of the circle is everywhere because infinity is a natural number just like 10.

>>7483370
I like this question OP, you're not asking about anything we can think on in euclidian space because there are vectors involved.

I think we can't give a solid answer in english, but I think there might be something useful in determining certain limits on certain planes under certain functions like spirals.

This sort of question is what leads us to understanding how to measure euclidean space and is at the centre (hue) of mathematical philosophy.

Bassically, there is no answer in words, but with the convention of a function on either a two or three dimensional plane, we can give instances of a relative distance from a new theoretical centre.

>>7485309
I meant to add, answering questions like this is what leads to answers in things like postman problems for planes to save fuel and the efficacy of circuit manufacturing which leads to lighter,cheaper commercial goods.

>>7485295
I was just pointing out that belittling someone for talking about "setting the radius to infinity," rather than using limits, is stupid in light of the fact that there are quite stable geometries (inversive geometries) in which circles of infinite radius are of the same type as circles of finite radius. The poster of that comment was showing their own ignorance in being condescending.

>>7485320
>inversive geometries
I'll have to look into that. Sounds interesting.

>>7483501
Limits or not, this is it

The radius of a circle by definition starts at its center

>>7485330
You may be interested in reading about generalized circles, or "clines."

>>7485320
Radius is infinite. Therefore the Circumference is infinite.

Therefore pi = 1

Get rekt 3.14 fags

>>7483501
Even if r extends to infinity, all that means is that for any number X, you can always find a number Y such that X < Y < r. That still doesn't mean that all those Y's magically become the center.

>>7483370
>If you have a circle with a radius (and circumference) extending to infinity
Butyoucan't.endthread.rar

>>7483370
Infinity isn't a number
/thread

At infinity, you would get a straight line with an undefined center of curvature (since there is no curvature).

>>7486098
>extending to infinity
>not a number
>what is a line

If you are looking at projective geometry, then the center of the circle lies at the point at infinity. I was sort of hoping someone else would answer that for you earlier in the thread. One of the motivations for creating projective geometry was to answer the same question that this thread poses.

>>7483370
Yes it will. It was proved when early cosmophysicist were thinking universe was static and infinite and every point in universe can be thought as the center of the universe.
>hanging arround /sci
>havent read brief history of universe yet
Dickhead

>>7483370
why dont you try to make an actual definition for your shitty meme object instead of asking nonsensical questions?

if you make one, you'll notice inmediately

>circle with a radius of infinity

>>7486879
Totally forgot how old theories are always correct

>>7486893
>implying theories can go wrong by just getting old

First of all, that was a theory about both static and infinite universe, which totally agrees with op's idea of circle. It can be a nonsense theory about universe but it still proved op's question. Secondly, fuck you.

>>7486960
what logical math implications arise from the game?

>>7483370
let's set our center at (0/0) and look at the intersections of our circle line with the axes (let's use x and y) only (as we can easily define the axes in any arbitrary direction with the limitation of x being perpendicular to y the following applies to any point on the circle line):

now we have: <span class="math">r = x_1 = -x_2 = y_1 = - y_2 [/spoiler] with <span class="math">x_1[/spoiler] (<span class="math">y_1[/spoiler]) and <span class="math">x_2[/spoiler](<span class="math">y_2[/spoiler]) being the intersections on the positive or negative part of x (y) respectively.

Now going for the limit r -> inf, the x and y coordinates of our center are

<span class="math">x_ctr=(x_1 + x_2)/2=(r-r)/2 = 0[/spoiler]
<span class="math">y_ctr=(y_1 - y_2)=0[/spoiler]

so the centre is constantly at (0/0)

>>7487088
> r goes infinity
> r-r = 0
Dumbass. Infinity is not a number it is a concept. You cannot just subtract infinity from infinity.

>>7487236
I never did. r is always a specific number, which is increasing. That is what the whole limit is meant to. To be more explicit, it should have been written:

<span class="math"> lim_{r -> \infinity } x_{ctr} [/spoiler]

I am sorry the short hand notation went over your head.

>>7487306
<span class="math"> lim_{r -> \infty } x_{ctr} [/spoiler]