I dispute your assertion the the interior angles of a circle are 360. It's infinity.
>>7698729
360 is the angle about the center, you dingus.
Degrees are arbitrary.
180(infinity-2) = infinity
180infinity - 360 = infinity
180infinity = infinity + 360
179infinity = 360
infinity = 2.011173184357542...
Oh shit.
>>7698747
/thread
>>7698762
kek
>>7698762
infinity^0=1
420^0=1
=>infinity =420
WEED LMAO CONFIRM!!???
>>7699915
AAAYYYYYYYYYYYYYY
What the hell happened to your Octagon, bro? Does it have cancer?
Couldn't figure out the line tool?
>>7698729
Infinity - 2 = infinity
180(infinity) = infinity
>>7698729
Three mistakes.
#1: You are treating infinity as a number in an algebraic expression. That is simply a wrong thing to do.
#2 Your Postulate 1 is in direct contradiction with your Fact 2.
You claim that a polygon with infinite sides is a circle but you forget that to follow your pattern, as the sides of the polygon approach infinity, so does the sum of their angles. That is to say that a polygon with infinite sides has infinite degrees.
180(infinity-2) = infinity
infinity-2 = infinity/180
infinity = (infinity/180) + 2
Which, while is also wrong because of the first mistake I pointed out, shows how infinity is not like any other number. You could do anything to infinity and it would still be infinity.
#3 A circle is not an n-sided polygon anyways so your original fact does not even apply.
>>7698729
A side = a line emitted from a vertex. A circle has 0 vertices, therefore circles have 0 sides. Therefore 180(0-2) = -360. Circles, the anti-square.
>Circles, the anti-square.
circle is the anti triangle
triangles are the simplex and circles are the reverse of that
>>7698729
>a circle is 360 degrees
No, it's infinity.
>>7698729
>infinity-2
Also
>that octogon
>>7700916
ayy
there are a lot of ways to disprove that but the equation you gave us is for n>=3. idk if you can recall from geometry
>>7700990
>180(n-2)
>>7698729
You used your equation incorrectly in "fact" 2. The sum of the external angles of a circle is not 360 degrees,it is infinite, because as you said, a circle has infinite sides.The equation works, you just used it wrong.
>pointwise convergence and uniform convergence are the same thing
lol
>>7698729
180(infinity - 2) = 360
180*infinity = 360 - 360
180*infinity = 0
infinity = 0/180
infinity = 0
Hey look! I solve a retarded equation that falsely assumes things! Look how deep this is! LOOK AT IT
>>7698729
360 is the measure of total degrees of angles with vertices at the shape's center. This is 360 for all shapes and the measure of interior angles of a circle as you described with the above shapes is indeed infinity
saying because this should be /thread
>>7701171
/thread
>>7698729
Express an arbitrary regular n--gon in terms of a strictly positive curve r=f(t), t∈[0,2π) that traces out its figure in polar coordinates and with (0,0) fixed at the n-gon's center. Then the set of corners is precisely the set of all (f(t), t) such that f'(t) does not exist. Clearly there exists exactly one corner for each side.
However a curve traced by f(t)=k for constant k is everywhere differentiable so the circle it traces contains no corners and hence no sides.
Compare with a similarly generated everywhere continuous nowhere-differentiable curve, which may truly be said to have infinite corners.
>mfw you all took the bait
>>7698729
"a circle has 360 degrees" is not the same as "the sum of its interior angles is 360 degrees." As the number of sides approaches infinity the degree of each angle in a regular polygon approaches 180. If it has infinite sides then it also has infinite angles, so the sum of a circle's interior angles is 180 X infinity = infinity, not 360.
Illuminati confirmed
