Are there corners on a circle?
There can be four corners on a circle! (See the attached graphic.) In fact, you can put as many corners on a circle you want.
Anyway, this lesson isn't just about geometry; it's a lesson about opening the mind to all possibilities and giving up the strictures of absolutist thinking. We appear to limit ourselves unnecessarily both in insisting that circles cannot have corners and that atheists cannot have Gods.
A square within a circle does not make a circle with corners...
Circles in a sense are infinite sets of corner points (vertices) where each corner point is the intersection of a vertical leg of a right triangle and the hypotenuse of that right triangle. See the attached graphic. So as we can all see, a circle can be defined as an infinite set of corner points.
You really ought to either learn math or not make up assertions about it because you keep getting it wrong.
According to your logic a square is a circle because I can create a square from an infinite set of corner points where each corner point is the intersection of a vertical leg of a right triangle and the hypotenuse of that right triangle. See the attached graphic.
View attachment 44636
Most of us would define “corner” to only apply to points A, B, C, and D but according to your definition point F is a corner point too and thus every point on the square is a corner point.
Sure, you can define a square as an infinite set of corner points that way, but obviously it's a set of corner points that differs from any infinite set of corner points that make up a circle. I attached the diagram to let everybody know what type of set of points I'm referring to. Did you see the diagram I attached?
Let's take a look at our logic:
I said: "...a circle can be defined as an infinite set of corner points."
You responded: "According to your logic a square is a circle because I can create a square from an infinite set of corner points where each corner point is the intersection of a vertical leg of a right triangle and the hypotenuse of that right triangle."
While it is true that you can inscribe right triangles in a square, it does not falsify what I said about doing so in circles. Just because you can come up with a set of corner points that make up a square, in no way does that prove there can be no corner points in a circle!
So what you're arguing with your square is irrelevant to my demonstration of the points of a circle being corner points. It's like arguing that I'm wrong that cats are furry because dogs are furry too.